<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE DjVuXML>
<DjVuXML>
<BODY>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0001.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0001.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0001.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0002.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0002.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0002.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0003.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0003.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="180,560,728,478,550">RXXXXX</WORD>
<WORD coords="730,544,822,478,544">X</WORD>
<WORD coords="826,544,1106,472,542">XXX</WORD>
<WORD coords="1108,538,1396,468,536">XXX</WORD>
<WORD coords="1428,528,1522,460,528">X</WORD>
<WORD coords="1544,606,2488,436,521">XXXXXXXXX^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="184,940,260,564,848">¡</WORD>
<WORD coords="324,848,2340,624,831">ELEMENTOS</WORD>
<WORD coords="2420,796,2492,608,0">S</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="188,1034,260,848,1027">3</WORD>
<WORD coords="1286,1018,1428,952,1017">DE</WORD>
<WORD coords="2422,1040,2492,894,1040">{j</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="752,3234,924,3174,3232">DON</WORD>
<WORD coords="962,3232,1168,3174,3230">JUAN</WORD>
<WORD coords="1212,3230,1580,3166,3228">BAUTISTA</WORD>
<WORD coords="1620,3228,1848,3170,3227">ZUBIA</WORD>
<WORD coords="1862,3228,1962,3170,3228">GA</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2426,1654,2500,1562,1654">H</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2424,1860,2508,1656,1860">1</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="552,1276,2140,1120,1264">MATEMATICAS</WORD>
<WORD coords="2428,1276,2496,1084,1276">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="686,1433,1111,1368,1431">PUESTOS</WORD>
<WORD coords="1186,1431,1322,1362,1429">EN</WORD>
<WORD coords="1396,1425,1986,1355,1422">COMPENDIO</WORD>
<WORD coords="2424,1466,2500,1330,1464">jj</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="803,1573,961,1515,1572">POfí</WORD>
<WORD coords="1001,1574,1156,1515,1572">DON</WORD>
<WORD coords="1213,1572,1572,1512,1570">MANUEL</WORD>
<WORD coords="1620,1580,1891,1511,1565">AYALA,</WORD>
<WORD coords="2430,1559,2499,1468,1559">H</WORD>
</LINE>
<LINE>
<WORD coords="926,1636,987,1570,1631">(p</WORD>
<WORD coords="1724,1630,1728,1624,1626">.</WORD>
<WORD coords="1761,1620,1770,1606,1620">t</WORD>
<WORD coords="1782,1609,1787,1607,1615">-</WORD>
<WORD coords="1798,1631,1804,1620,1626">,</WORD>
<WORD coords="1865,1611,1868,1606,1616">•</WORD>
<WORD coords="1888,1636,1907,1577,1617">&apos;j</WORD>
<WORD coords="2039,1632,2047,1619,1632">,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="544,1706,833,1651,1696">Presbítero,</WORD>
<WORD coords="884,1694,1068,1647,1693">Doctor</WORD>
<WORD coords="1099,1692,1159,1660,1692">en</WORD>
<WORD coords="1193,1700,1553,1645,1690">Matemáticas,</WORD>
<WORD coords="1587,1688,1668,1656,1686">ex-</WORD>
<WORD coords="1675,1686,1963,1637,1683">Catedrático</WORD>
<WORD coords="1997,1680,2054,1635,1679">de</WORD>
<WORD coords="2081,1678,2154,1633,1677">las</WORD>
</LINE>
<LINE>
<WORD coords="541,1785,729,1741,1782">mismas</WORD>
<WORD coords="760,1782,819,1751,1782">en</WORD>
<WORD coords="849,1781,893,1738,1780">el</WORD>
<WORD coords="925,1792,1118,1737,1778">antiguo</WORD>
<WORD coords="1151,1777,1449,1733,1776">Convictorio</WORD>
<WORD coords="1478,1774,1532,1731,1773">de</WORD>
<WORD coords="1566,1774,1658,1730,1773">San</WORD>
<WORD coords="1691,1772,1929,1725,1770">Bernardo</WORD>
<WORD coords="1948,1783,1975,1740,1779">y</WORD>
<WORD coords="2008,1766,2067,1734,1765">en</WORD>
<WORD coords="2099,1764,2145,1719,1763">el</WORD>
</LINE>
<LINE>
<WORD coords="549,1879,745,1825,1867">Colegio</WORD>
<WORD coords="775,1867,832,1823,1866">de</WORD>
<WORD coords="866,1866,1081,1822,1864">Ciencias</WORD>
<WORD coords="1113,1876,1142,1832,1869">y</WORD>
<WORD coords="1175,1863,1318,1820,1862">Artes</WORD>
<WORD coords="1348,1859,1422,1817,1858">del</WORD>
<WORD coords="1478,1870,1660,1815,1858">Cuzco,</WORD>
<WORD coords="1711,1870,2016,1814,1856">Agrimensor</WORD>
<WORD coords="2046,1866,2074,1824,1863">y</WORD>
<WORD coords="2107,1854,2156,1809,1854">al</WORD>
</LINE>
<LINE>
<WORD coords="542,1971,755,1912,1953">presente</WORD>
<WORD coords="791,1954,1004,1906,1951">Profesor</WORD>
<WORD coords="1048,1949,1104,1906,1948">de</WORD>
<WORD coords="1153,1961,1323,1904,1947">lengua</WORD>
<WORD coords="1357,1946,1527,1902,1944">Latina</WORD>
<WORD coords="1556,1942,1614,1913,1942">en</WORD>
<WORD coords="1648,1941,1692,1900,1940">la</WORD>
<WORD coords="1736,1940,1903,1898,1936">misma</WORD>
<WORD coords="1957,1949,2153,1894,1935">Capital.</WORD>
<WORD coords="2437,1941,2515,1889,1938">f%-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="868,2106,1230,2016,2102">PARA</WORD>
<WORD coords="1312,2098,1486,2014,2097">EL</WORD>
<WORD coords="1574,2098,1834,2010,2096">USO</WORD>
<WORD coords="2428,2132,2524,1948,2132">jj</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="394,2244,534,2176,2243">DE</WORD>
<WORD coords="564,2246,754,2146,2239">S.OS</WORD>
<WORD coords="792,2244,928,2168,2236">S¿4</WORD>
<WORD coords="964,2234,1494,2164,2230">OFICIALES</WORD>
<WORD coords="1546,2228,1742,2166,2228">DEL</WORD>
<WORD coords="1794,2270,1908,2136,2226">B^</WORD>
<WORD coords="1930,2228,2314,2158,2226">&apos;VALISD&apos;N</WORD>
<WORD coords="2428,2232,2510,2130,2232">&apos;H</WORD>
</LINE>
<LINE>
<WORD coords="224,2370,274,2268,2370">H</WORD>
<WORD coords="486,2374,790,2304,2372">CUZCO</WORD>
<WORD coords="886,2370,950,2306,2370">E</WORD>
<WORD coords="1020,2366,1522,2300,2364">IMFKESOS</WORD>
<WORD coords="1592,2362,1658,2298,2362">A</WORD>
<WORD coords="1732,2366,2238,2296,2363">EXPENSAS</WORD>
<WORD coords="2408,2424,2528,2236,2372">&apos;jj.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="934,2502,1074,2436,2502">DE</WORD>
<WORD coords="1142,2500,1312,2436,2498">LOS</WORD>
<WORD coords="1362,2500,1786,2428,2497">MISMOS.</WORD>
<WORD coords="2442,2520,2512,2426,2520">$</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="204,2716,282,2552,2714">í</WORD>
<WORD coords="888,2712,1898,2612,2706">ARITMETICA,</WORD>
<WORD coords="2442,2710,2536,2520,2708">3:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="232,2836,282,2676,2836">5</WORD>
<WORD coords="2444,2810,2512,2716,2810">*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1038,2886,1160,2820,2886">SE</WORD>
<WORD coords="1232,2886,1688,2816,2886">DEDICAN</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="630,3034,730,2972,3033">AL</WORD>
<WORD coords="776,3032,1332,2970,3029">BENEMERITO</WORD>
<WORD coords="1376,3028,1646,2966,3027">SEÑOR</WORD>
<WORD coords="1688,3036,2106,2968,3024">CORONEL,</WORD>
<WORD coords="2444,3074,2518,2916,3074">jj</WORD>
</LINE>
<LINE>
<WORD coords="634,3134,1214,3074,3131">COMANDANTE</WORD>
<WORD coords="1256,3130,1426,3074,3128">DEL</WORD>
<WORD coords="1466,3128,1734,3068,3126">MISMO</WORD>
<WORD coords="1778,3140,2128,3066,3124">CUERPO,</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2452,3284,2522,3200,3284">N</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="734,3496,814,3382,3486">j</WORD>
<WORD coords="954,3476,1396,3384,3474">CUZCO</WORD>
<WORD coords="1478,3472,1796,3382,3470">1832.</WORD>
<WORD coords="2458,3474,2526,3382,3474">N</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="226,3590,296,3458,3590">S</WORD>
<WORD coords="766,3550,812,3504,3583">*</WORD>
<WORD coords="2462,3586,2528,3458,3586">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="226,3684,298,3590,3684">%</WORD>
<WORD coords="862,3684,1394,3568,3655">Imprenta</WORD>
<WORD coords="1446,3654,1900,3558,3652">Pública</WORD>
<WORD coords="2464,3662,2532,3570,3662">N</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="228,3764,298,3684,3764">M</WORD>
<WORD coords="732,3762,1042,3716,3762">DIRIJIDA</WORD>
<WORD coords="1078,3764,1208,3718,3762">POR</WORD>
<WORD coords="1256,3764,1594,3714,3761">EVARISTO</WORD>
<WORD coords="1652,3760,2028,3708,3758">GONZALEZ.</WORD>
<WORD coords="2464,3776,2536,3662,3776">$</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="232,3870,302,3780,3870">K</WORD>
<WORD coords="2470,3850,2538,3758,3850">N</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0003.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0004.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0004.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="874,1257,1038,1118,1254">El</WORD>
<WORD coords="1107,1252,1263,1191,1250">Arte</WORD>
<WORD coords="1330,1251,1561,1191,1249">militar</WORD>
<WORD coords="1610,1251,1648,1193,1251">6</WORD>
<WORD coords="1703,1251,1952,1192,1249">Ciencia</WORD>
<WORD coords="2004,1250,2083,1192,1249">de</WORD>
<WORD coords="2141,1250,2197,1192,1249">la</WORD>
<WORD coords="2256,1252,2500,1192,1250">Guerra</WORD>
<WORD coords="2546,1276,2784,1197,1253">emplea</WORD>
<WORD coords="2840,1262,3039,1218,1259">cfimo?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="726,1358,971,1296,1356">fuerzas</WORD>
<WORD coords="1034,1357,1070,1299,1357">ó</WORD>
<WORD coords="1120,1374,1575,1297,1353">potencíaselos</WORD>
<WORD coords="1622,1358,1907,1300,1356">hombres</WORD>
<WORD coords="1942,1369,1958,1343,1369">,</WORD>
<WORD coords="1999,1373,2114,1318,1355">que</WORD>
<WORD coords="2176,1376,2371,1300,1353">llegan</WORD>
<WORD coords="2418,1355,2447,1303,1355">á</WORD>
<WORD coords="2497,1354,2594,1316,1353">ser</WORD>
<WORD coords="2664,1377,2833,1314,1358">aptos</WORD>
<WORD coords="2881,1379,3025,1326,1363">para</WORD>
</LINE>
<LINE>
<WORD coords="705,1467,765,1410,1466">el</WORD>
<WORD coords="833,1485,1123,1408,1464">ejercicio</WORD>
<WORD coords="1223,1465,1323,1407,1464">del</WORD>
<WORD coords="1379,1463,1537,1408,1462">Arte</WORD>
<WORD coords="1597,1482,1707,1423,1461">por</WORD>
<WORD coords="1776,1464,1867,1407,1463">los</WORD>
<WORD coords="1950,1463,2421,1405,1460">Conocimientos</WORD>
<WORD coords="2443,1473,2459,1448,1473">,</WORD>
<WORD coords="2519,1479,2637,1424,1462">que</WORD>
<WORD coords="2712,1470,3036,1410,1464">consisten-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="716,1570,794,1532,1569">en</WORD>
<WORD coords="851,1571,937,1521,1570">las</WORD>
<WORD coords="996,1570,1260,1512,1569">ciencias</WORD>
<WORD coords="1296,1583,1315,1555,1583">,</WORD>
<WORD coords="1366,1587,1483,1531,1569">que</WORD>
<WORD coords="1532,1567,1618,1513,1566">las</WORD>
<WORD coords="1666,1586,2029,1510,1565">principales</WORD>
<WORD coords="2078,1566,2271,1511,1564">deben</WORD>
<WORD coords="2332,1565,2431,1528,1563">ser</WORD>
<WORD coords="2488,1566,2574,1511,1565">las</WORD>
<WORD coords="2657,1569,3017,1509,1567">Matemáti-</WORD>
</LINE>
<LINE>
<WORD coords="706,1680,808,1635,1676">cas</WORD>
<WORD coords="840,1690,859,1663,1683">,</WORD>
<WORD coords="917,1676,973,1619,1674">la</WORD>
<WORD coords="1025,1678,1227,1619,1676">Física</WORD>
<WORD coords="1254,1692,1270,1663,1684">,</WORD>
<WORD coords="1315,1676,1371,1618,1676">la</WORD>
<WORD coords="1415,1694,1742,1615,1672">Geografía</WORD>
<WORD coords="1796,1689,2211,1615,1671">acompañada</WORD>
<WORD coords="2262,1671,2337,1615,1671">de</WORD>
<WORD coords="2397,1670,2450,1615,1669">la</WORD>
<WORD coords="2508,1670,2783,1614,1668">Historia</WORD>
<WORD coords="2833,1690,2869,1635,1683">y</WORD>
<WORD coords="2925,1677,3032,1620,1674">los*</WORD>
</LINE>
<LINE>
<WORD coords="706,1800,1041,1725,1779">principios</WORD>
<WORD coords="1094,1803,1421,1726,1781">generales,</WORD>
<WORD coords="1446,1782,1546,1723,1780">del</WORD>
<WORD coords="1594,1781,1750,1723,1778">Arte</WORD>
<WORD coords="1808,1780,2056,1720,1776">militar.</WORD>
<WORD coords="2153,1795,2397,1719,1775">Vallejo*</WORD>
<WORD coords="2462,1775,2647,1719,1775">Tabla</WORD>
<WORD coords="2714,1801,3031,1723,1779">sinóptica,</WORD>
</LINE>
<LINE>
<WORD coords="703,1886,802,1829,1886">del</WORD>
<WORD coords="845,1888,997,1832,1887">Arte</WORD>
<WORD coords="1045,1890,1298,1834,1887">militar.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="955,1993,1305,1940,1991">Añadimos</WORD>
<WORD coords="1340,2010,1482,1954,1990">aquí</WORD>
<WORD coords="1541,1994,1629,1938,1993">los</WORD>
<WORD coords="1691,1995,2146,1936,1992">conocimientos</WORD>
<WORD coords="2181,2012,2387,1940,1988">(como</WORD>
<WORD coords="2439,1988,2784,1930,1986">cualidades</WORD>
<WORD coords="2829,2006,3015,1952,1989">gene*</WORD>
</LINE>
<LINE>
<WORD coords="699,2102,860,2044,2099">rales</WORD>
<WORD coords="904,2102,938,2043,2102">á</WORD>
<WORD coords="990,2103,1125,2043,2099">todo</WORD>
<WORD coords="1190,2098,1422,2043,2099">militar</WORD>
<WORD coords="1426,2114,1472,2043,2111">J</WORD>
<WORD coords="1513,2111,1530,2067,2111">;</WORD>
<WORD coords="1580,2118,1621,2062,2107">y</WORD>
<WORD coords="1663,2097,2009,2044,2095">colocamos</WORD>
<WORD coords="2068,2092,2141,2057,2091">en</WORD>
<WORD coords="2202,2107,2429,2035,2089">primer</WORD>
<WORD coords="2481,2111,2653,2036,2089">lugar</WORD>
<WORD coords="2711,2091,2763,2036,2090">el</WORD>
<WORD coords="2822,2093,2897,2038,2092">de</WORD>
<WORD coords="2928,2099,3034,2041,2095">lasi</WORD>
</LINE>
<LINE>
<WORD coords="701,2206,989,2149,2204">Ciencias</WORD>
<WORD coords="1043,2204,1482,2147,2202">Matemáticas</WORD>
<WORD coords="1512,2217,1529,2186,2217">,</WORD>
<WORD coords="1579,2217,1689,2164,2200">por</WORD>
<WORD coords="1739,2217,1857,2161,2198">que</WORD>
<WORD coords="1908,2198,1980,2161,2197">su</WORD>
<WORD coords="2028,2197,2272,2139,2195">estudio</WORD>
<WORD coords="2317,2207,2718,2139,2193">^costumbura</WORD>
<WORD coords="2766,2197,3012,2150,2193">nuestro</WORD>
</LINE>
<LINE>
<WORD coords="697,2328,959,2253,2309">espíritu</WORD>
<WORD coords="1013,2313,1067,2254,2310">al</WORD>
<WORD coords="1121,2310,1310,2253,2308">orden</WORD>
<WORD coords="1365,2328,1405,2272,2317">y</WORD>
<WORD coords="1463,2306,1490,2256,2306">á</WORD>
<WORD coords="1543,2307,1598,2251,2306">la</WORD>
<WORD coords="1644,2324,1948,2247,2303">precisión</WORD>
<WORD coords="1982,2316,1999,2269,2310">;</WORD>
<WORD coords="2056,2301,2086,2250,2302">á</WORD>
<WORD coords="2147,2319,2265,2264,2300">que</WORD>
<WORD coords="2320,2299,2517,2241,2298">forme</WORD>
<WORD coords="2562,2299,2618,2246,2298">el</WORD>
<WORD coords="2662,2322,2861,2245,2300">juicio</WORD>
<WORD coords="2896,2321,3013,2265,2303">que</WORD>
</LINE>
<LINE>
<WORD coords="697,2415,763,2376,2414">es</WORD>
<WORD coords="805,2413,863,2359,2413">el</WORD>
<WORD coords="916,2416,1321,2359,2413">instrumento</WORD>
<WORD coords="1376,2412,1681,2356,2410">universal</WORD>
<WORD coords="1741,2410,1839,2353,2408">del</WORD>
<WORD coords="1891,2407,2371,2350,2404">entendimiento</WORD>
<WORD coords="2402,2419,2419,2391,2413">,</WORD>
<WORD coords="2473,2403,2529,2349,2403">el</WORD>
<WORD coords="2585,2423,2884,2347,2403">principio</WORD>
<WORD coords="2932,2406,3009,2351,2406">de</WORD>
</LINE>
<LINE>
<WORD coords="697,2524,750,2465,2522">la</WORD>
<WORD coords="808,2524,1148,2466,2521">moralidad</WORD>
<WORD coords="1181,2535,1196,2508,2535">,</WORD>
<WORD coords="1246,2541,1285,2486,2530">y</WORD>
<WORD coords="1337,2520,1391,2466,2519">la</WORD>
<WORD coords="1446,2540,1610,2464,2517">regla</WORD>
<WORD coords="1667,2517,1741,2463,2517">de</WORD>
<WORD coords="1787,2516,1874,2462,2515">las</WORD>
<WORD coords="1913,2514,2193,2459,2513">acciones</WORD>
<WORD coords="2246,2517,2541,2456,2512">humanas</WORD>
<WORD coords="2580,2524,2594,2478,2524">;</WORD>
<WORD coords="2658,2529,2696,2472,2528">y</WORD>
<WORD coords="2752,2527,2859,2474,2510">por</WORD>
<WORD coords="2892,2530,3010,2474,2512">que</WORD>
</LINE>
<LINE>
<WORD coords="700,2630,843,2571,2627">abre</WORD>
<WORD coords="899,2629,955,2572,2628">el</WORD>
<WORD coords="1010,2629,1255,2570,2627">camina</WORD>
<WORD coords="1309,2626,1340,2571,2625">á</WORD>
<WORD coords="1399,2625,1485,2571,2624">las</WORD>
<WORD coords="1545,2623,1805,2566,2621">ciencias</WORD>
<WORD coords="1857,2622,2066,2563,2619">físicas</WORD>
<WORD coords="2124,2637,2161,2581,2628">y</WORD>
<WORD coords="2247,2618,2864,2559,2614">fisico-matematicas</WORD>
<WORD coords="2918,2616,3014,2579,2615">re»</WORD>
</LINE>
<LINE>
<WORD coords="696,2743,916,2675,2738">tetivas</WORD>
<WORD coords="971,2742,1030,2677,2741">ai</WORD>
<WORD coords="1074,2739,1255,2677,2736">Arte,</WORD>
<WORD coords="1343,2753,1549,2674,2735">itfm,</WORD>
<WORD coords="1592,2733,1765,2671,2731">Ttat.</WORD>
<WORD coords="1818,2751,2106,2673,2727">completa</WORD>
<WORD coords="2149,2725,2411,2665,2723">düAtte</WORD>
<WORD coords="2454,2725,2687,2664,2722">militar</WORD>
<WORD coords="2719,2741,2747,2707,2741">y</WORD>
<WORD coords="2753,2743,2907,2674,2735">pqg.</WORD>
<WORD coords="2941,2727,3002,2670,2726">7.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0004.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0005.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0005.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="624,814,1123,714,807">SEÑOR</WORD>
<WORD coords="1236,795,1982,691,787">CORONEL.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="323,1008,765,865,1003">La.fiVion</WORD>
<WORD coords="823,1002,1160,939,996">decidida,</WORD>
<WORD coords="1215,1006,1333,951,988">que</WORD>
<WORD coords="1393,987,1523,928,985">US.</WORD>
<WORD coords="1567,981,1727,925,979">tiene</WORD>
<WORD coords="1774,975,1804,940,975">a</WORD>
<WORD coords="1862,974,1950,920,972">las</WORD>
<WORD coords="2020,970,2284,906,966">ciencias</WORD>
<WORD coords="2342,959,2488,899,959">Ma-</WORD>
</LINE>
<LINE>
<WORD coords="164,1118,480,1060,1113">temáticas</WORD>
<WORD coords="519,1131,539,1097,1120">,</WORD>
<WORD coords="596,1109,658,1074,1107">es</WORD>
<WORD coords="704,1108,820,1070,1105">una</WORD>
<WORD coords="878,1105,1167,1041,1100">cualidad</WORD>
<WORD coords="1210,1095,1483,1040,1090">bastante</WORD>
<WORD coords="1541,1085,1988,1024,1080">demostrativa</WORD>
<WORD coords="2043,1075,2143,1018,1074">del</WORD>
<WORD coords="2192,1072,2352,1016,1068">butn</WORD>
<WORD coords="2395,1061,2487,1016,1060">ta-</WORD>
</LINE>
<LINE>
<WORD coords="168,1222,336,1167,1219">lento</WORD>
<WORD coords="396,1231,428,1181,1223">y</WORD>
<WORD coords="476,1215,594,1161,1214">fino</WORD>
<WORD coords="644,1234,824,1161,1219">fcusto</WORD>
<WORD coords="873,1226,989,1170,1206">que</WORD>
<WORD coords="1050,1203,1481,1139,1198">recomiendan</WORD>
<WORD coords="1538,1192,1610,1155,1192">su</WORD>
<WORD coords="1674,1188,1907,1129,1185">amable</WORD>
<WORD coords="1962,1200,2238,1137,1178">persona.</WORD>
<WORD coords="2331,1169,2492,1115,1167">Des-</WORD>
</LINE>
<LINE>
<WORD coords="170,1326,252,1271,1326">de</WORD>
<WORD coords="309,1342,423,1287,1323">que</WORD>
<WORD coords="472,1322,600,1265,1320">US.</WORD>
<WORD coords="656,1335,761,1280,1315">por</WORD>
<WORD coords="823,1314,875,1263,1314">la</WORD>
<WORD coords="936,1313,1064,1276,1311">mas</WORD>
<WORD coords="1114,1308,1400,1246,1304">acertada</WORD>
<WORD coords="1455,1299,1727,1240,1295">elección</WORD>
<WORD coords="1787,1291,1850,1254,1290">se</WORD>
<WORD coords="1911,1309,2059,1251,1288">puso</WORD>
<WORD coords="2114,1284,2145,1231,1291">á</WORD>
<WORD coords="2204,1279,2261,1224,1278">la</WORD>
<WORD coords="2320,1274,2498,1216,1272">cabe-</WORD>
</LINE>
<LINE>
<WORD coords="171,1432,254,1393,1431">za</WORD>
<WORD coords="313,1427,413,1373,1426">del</WORD>
<WORD coords="472,1425,750,1369,1423">Batallón</WORD>
<WORD coords="811,1419,1024,1365,1417">Cuzco</WORD>
<WORD coords="1056,1430,1072,1404,1430">,</WORD>
<WORD coords="1106,1434,1318,1374,1410">parece</WORD>
<WORD coords="1380,1426,1498,1369,1405">que</WORD>
<WORD coords="1549,1402,1627,1366,1401">no</WORD>
<WORD coords="1679,1400,1762,1344,1400">ha</WORD>
<WORD coords="1823,1396,2031,1338,1394">vivido</WORD>
<WORD coords="2090,1408,2234,1349,1386">para</WORD>
<WORD coords="2286,1380,2337,1323,1379">si</WORD>
<WORD coords="2373,1390,2391,1364,1397">,</WORD>
<WORD coords="2416,1373,2502,1335,1372">si-</WORD>
</LINE>
<LINE>
<WORD coords="176,1535,255,1495,1534">no</WORD>
<WORD coords="308,1553,449,1495,1530">para</WORD>
<WORD coords="504,1547,790,1488,1525">procurar</WORD>
<WORD coords="846,1522,991,1469,1521">toda</WORD>
<WORD coords="1025,1520,1078,1467,1519">la</WORD>
<WORD coords="1130,1536,1479,1456,1513">perfección</WORD>
<WORD coords="1514,1525,1531,1495,1516">,</WORD>
<WORD coords="1560,1507,1637,1451,1506">de</WORD>
<WORD coords="1698,1523,1815,1466,1503">que</WORD>
<WORD coords="1868,1502,1934,1463,1501">es</WORD>
<WORD coords="1989,1510,2359,1432,1491">susceptible</WORD>
<WORD coords="2406,1481,2501,1443,1480">es-</WORD>
</LINE>
<LINE>
<WORD coords="173,1639,238,1596,1639">te</WORD>
<WORD coords="298,1638,507,1583,1636">ilustre</WORD>
<WORD coords="563,1647,786,1596,1631">cuerpo</WORD>
<WORD coords="837,1631,924,1575,1629">asi</WORD>
<WORD coords="985,1626,1058,1591,1625">en</WORD>
<WORD coords="1111,1624,1175,1571,1623">lo</WORD>
<WORD coords="1217,1622,1390,1565,1620">fisico</WORD>
<WORD coords="1418,1630,1435,1605,1619">,</WORD>
<WORD coords="1464,1616,1640,1578,1614">como</WORD>
<WORD coords="1699,1611,1772,1574,1610">ea</WORD>
<WORD coords="1831,1608,1891,1555,1607">lo</WORD>
<WORD coords="1954,1609,2163,1548,1605">moral</WORD>
<WORD coords="2254,1597,2505,1538,1595">Guiado</WORD>
</LINE>
<LINE>
<WORD coords="184,1744,261,1688,1743">de</WORD>
<WORD coords="309,1742,436,1696,1741">este</WORD>
<WORD coords="511,1758,809,1679,1737">principio</WORD>
<WORD coords="839,1750,854,1723,1742">,</WORD>
<WORD coords="923,1734,1136,1675,1732">anhela</WORD>
<WORD coords="1193,1731,1323,1671,1729">US.</WORD>
<WORD coords="1393,1743,1625,1684,1720">porque</WORD>
<WORD coords="1675,1719,1730,1663,1718">la</WORD>
<WORD coords="1789,1719,2160,1655,1714">Oficialidad</WORD>
<WORD coords="2207,1730,2242,1670,1726">y</WORD>
<WORD coords="2291,1708,2506,1652,1706">demás</WORD>
</LINE>
<LINE>
<WORD coords="185,1850,378,1794,1847">clases</WORD>
<WORD coords="432,1845,772,1787,1842">recuerden</WORD>
<WORD coords="826,1840,978,1802,1838">unos</WORD>
<WORD coords="1014,1852,1029,1825,1852">,</WORD>
<WORD coords="1097,1857,1136,1799,1855">y</WORD>
<WORD coords="1184,1853,1493,1775,1831">aprendan</WORD>
<WORD coords="1546,1826,1714,1781,1824">otros</WORD>
<WORD coords="1772,1824,1864,1769,1823">los</WORD>
<WORD coords="1909,1823,2243,1767,1819">elementos</WORD>
<WORD coords="2286,1814,2362,1758,1814">de</WORD>
<WORD coords="2416,1811,2503,1756,1810">las</WORD>
</LINE>
<LINE>
<WORD coords="185,1963,689,1896,1951">Matemáticas,</WORD>
<WORD coords="744,1947,771,1896,1946">á</WORD>
<WORD coords="828,1946,904,1891,1945">fin</WORD>
<WORD coords="966,1944,1041,1889,1943">de</WORD>
<WORD coords="1091,1942,1262,1899,1940">tener</WORD>
<WORD coords="1309,1939,1462,1901,1936">unos</WORD>
<WORD coords="1525,1934,1835,1876,1930">Militares</WORD>
<WORD coords="1863,1944,1882,1916,1944">,</WORD>
<WORD coords="1909,1945,2026,1891,1927">que</WORD>
<WORD coords="2058,1941,2075,1914,1938">,</WORD>
<WORD coords="2102,1926,2438,1865,1921">reuniendo</WORD>
<WORD coords="2472,1918,2507,1864,1918">á</WORD>
</LINE>
<LINE>
<WORD coords="186,2064,263,2024,2064">»u</WORD>
<WORD coords="308,2060,550,2005,2058">notorio</WORD>
<WORD coords="606,2057,777,2001,2055">valor</WORD>
<WORD coords="832,2051,887,2000,2050">la</WORD>
<WORD coords="941,2050,1243,1991,2048">suavidad</WORD>
<WORD coords="1310,2061,1430,2008,2044">que</WORD>
<WORD coords="1489,2043,1705,1986,2040">trahen</WORD>
<WORD coords="1765,2057,2020,1979,2035">consigo</WORD>
<WORD coords="2075,2032,2167,1980,2029">las</WORD>
<WORD coords="2222,2035,2509,1967,2023">ciencias,</WORD>
</LINE>
<LINE>
<WORD coords="185,2184,403,2111,2163">logren</WORD>
<WORD coords="448,2162,545,2125,2160">ser</WORD>
<WORD coords="597,2174,932,2103,2155">completos</WORD>
<WORD coords="978,2154,1051,2117,2153">en</WORD>
<WORD coords="1102,2152,1155,2096,2151">el</WORD>
<WORD coords="1216,2151,1372,2096,2148">Arte</WORD>
<WORD coords="1429,2148,1505,2092,2147">de</WORD>
<WORD coords="1562,2144,1612,2091,2144">la</WORD>
<WORD coords="1664,2147,1936,2088,2142">^Guerra.</WORD>
<WORD coords="2011,2142,2190,2085,2137">Estas</WORD>
<WORD coords="2250,2151,2514,2073,2128">prendas</WORD>
</LINE>
<LINE>
<WORD coords="186,2289,229,2234,2287">y</WORD>
<WORD coords="278,2285,386,2230,2266">por</WORD>
<WORD coords="443,2265,573,2222,2264">otra</WORD>
<WORD coords="630,2280,797,2217,2260">parte</WORD>
<WORD coords="859,2259,914,2205,2258">la</WORD>
<WORD coords="965,2257,1399,2198,2254">benevolencia</WORD>
<WORD coords="1470,2252,1545,2196,2251">de</WORD>
<WORD coords="1605,2252,1717,2193,2251">US</WORD>
<WORD coords="1801,2249,1930,2191,2248">acia</WORD>
<WORD coords="2003,2246,2089,2190,2246">mi</WORD>
<WORD coords="2167,2253,2522,2179,2236">individuo,</WORD>
</LINE>
<LINE>
<WORD coords="191,2392,423,2316,2370">ecsijen</WORD>
<WORD coords="483,2370,607,2330,2368">tina</WORD>
<WORD coords="650,2366,1104,2306,2363">demostración</WORD>
<WORD coords="1163,2360,1239,2304,2359">de</WORD>
<WORD coords="1296,2360,1382,2302,2359">mi</WORD>
<WORD coords="1425,2358,1944,2299,2354">reconocimiento</WORD>
<WORD coords="1974,2354,1990,2317,2354">:</WORD>
<WORD coords="2061,2369,2200,2311,2348">para</WORD>
<WORD coords="2250,2361,2520,2285,2341">cumplir</WORD>
</LINE>
<LINE>
<WORD coords="195,2480,270,2440,2478">en</WORD>
<WORD coords="322,2478,379,2423,2478">lo</WORD>
<WORD coords="432,2493,664,2417,2473">posible</WORD>
<WORD coords="710,2472,837,2425,2470">esta</WORD>
<WORD coords="889,2470,1088,2411,2467">deuda</WORD>
<WORD coords="1129,2488,1149,2452,2476">,</WORD>
<WORD coords="1202,2465,1456,2406,2463">ofrezco</WORD>
<WORD coords="1518,2462,1549,2408,2462">á</WORD>
<WORD coords="1592,2464,1726,2405,2462">US.</WORD>
<WORD coords="1782,2459,1908,2416,2458">este</WORD>
<WORD coords="1957,2459,2041,2403,2458">mi</WORD>
<WORD coords="2101,2455,2269,2408,2452">corto</WORD>
<WORD coords="2322,2448,2521,2392,2447">traba-</WORD>
</LINE>
<LINE>
<WORD coords="188,2610,261,2531,2583">jo</WORD>
<WORD coords="294,2599,308,2573,2599">,</WORD>
<WORD coords="356,2600,472,2546,2581">que</WORD>
<WORD coords="518,2596,758,2541,2578">aunque</WORD>
<WORD coords="808,2576,879,2539,2575">en</WORD>
<WORD coords="929,2574,978,2520,2573">si</WORD>
<WORD coords="1038,2573,1140,2536,2572">sea</WORD>
<WORD coords="1196,2590,1475,2515,2569">pequeño</WORD>
<WORD coords="1508,2585,1526,2557,2577">,</WORD>
<WORD coords="1568,2567,1631,2531,2567">se</WORD>
<WORD coords="1686,2569,1839,2506,2566">hará</WORD>
<WORD coords="1884,2583,2225,2505,2562">apreciaba</WORD>
<WORD coords="2280,2558,2331,2501,2557">si</WORD>
<WORD coords="2381,2556,2517,2495,2554">US.</WORD>
</LINE>
<LINE>
<WORD coords="197,2692,260,2637,2691">lo</WORD>
<WORD coords="315,2690,505,2643,2687">aceta.</WORD>
<WORD coords="601,2683,750,2627,2682">Esto</WORD>
<WORD coords="811,2680,875,2644,2680">es</WORD>
<WORD coords="933,2679,990,2625,2679">lo</WORD>
<WORD coords="1049,2697,1165,2641,2678">que</WORD>
<WORD coords="1222,2695,1515,2619,2675">pretendo</WORD>
<WORD coords="1552,2687,1567,2662,2687">,</WORD>
<WORD coords="1592,2693,1633,2636,2684">y</WORD>
<WORD coords="1681,2673,1737,2617,2672">el</WORD>
<WORD coords="1795,2693,1916,2632,2674">que</WORD>
<WORD coords="1972,2675,2105,2614,2673">ÜS.</WORD>
<WORD coords="2140,2670,2355,2621,2667">cuente</WORD>
<WORD coords="2403,2663,2527,2621,2662">con&gt;</WORD>
</LINE>
<LINE>
<WORD coords="204,2797,258,2740,2797">el</WORD>
<WORD coords="310,2798,510,2737,2794">afecto</WORD>
<WORD coords="557,2793,685,2752,2791">mas</WORD>
<WORD coords="744,2788,983,2731,2787">sincero</WORD>
<WORD coords="1014,2802,1031,2772,2802">,</WORD>
<WORD coords="1080,2805,1199,2747,2784">que</WORD>
<WORD coords="1257,2784,1313,2726,2784">le</WORD>
<WORD coords="1363,2802,1687,2721,2781">profesa—</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="863,3137,956,3075,3136">Su</WORD>
<WORD coords="1014,3137,1147,3093,3136">mas</WORD>
<WORD coords="1201,3138,1404,3081,3136">atento</WORD>
<WORD coords="1444,3136,1733,3077,3134">servidor</WORD>
<WORD coords="1778,3152,1819,3094,3152">y</WORD>
<WORD coords="1877,3153,2179,3073,3131">captllan.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1497,3497,1825,3421,3494">Manuel</WORD>
<WORD coords="1877,3520,2141,3423,3494">*Ayula&gt;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0005.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0006.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0006.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1442,698,2134,594,692">PROEMIO.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="873,780,954,716,778">El</WORD>
<WORD coords="997,778,1242,719,776">estadio</WORD>
<WORD coords="1303,777,1378,721,777">de</WORD>
<WORD coords="1438,782,1521,726,780">late</WORD>
<WORD coords="1576,790,1988,737,784">matemáticas</WORD>
<WORD coords="2049,810,2348,753,790">compone</WORD>
<WORD coords="2378,795,2498,755,794">uno</WORD>
<WORD coords="2553,797,2627,741,797">de</WORD>
<WORD coords="2660,796,2751,737,794">los</WORD>
<WORD coords="2794,817,2956,741,796">prin-</WORD>
</LINE>
<LINE>
<WORD coords="639,894,870,820,875">cipales</WORD>
<WORD coords="918,879,1120,841,877">ramos</WORD>
<WORD coords="1168,880,1242,826,880">de</WORD>
<WORD coords="1280,884,1619,825,881">educación</WORD>
<WORD coords="1654,900,1668,875,900">,</WORD>
<WORD coords="1708,905,1745,851,897">y</WORD>
<WORD coords="1792,889,1881,835,888">sin</WORD>
<WORD coords="1938,892,1995,838,891">el</WORD>
<WORD coords="2053,911,2169,858,894">que</WORD>
<WORD coords="2216,919,2436,859,897">apenas</WORD>
<WORD coords="2481,918,2671,843,898">podra</WORD>
<WORD coords="2721,901,2961,845,898">llamar-</WORD>
</LINE>
<LINE>
<WORD coords="626,980,695,941,979">se</WORD>
<WORD coords="760,981,834,942,980">un</WORD>
<WORD coords="890,983,1146,925,981">hombre</WORD>
<WORD coords="1205,986,1445,930,985">literato</WORD>
<WORD coords="1495,988,1540,932,988">ó&lt;</WORD>
<WORD coords="1580,996,1900,934,990">ilustrado.</WORD>
<WORD coords="1993,997,2110,941,996">Las</WORD>
<WORD coords="2149,1002,2579,943,1000">Matemáticas</WORD>
<WORD coords="2652,1001,2679,948,1001">á</WORD>
<WORD coords="2711,1007,2959,967,1004">manera</WORD>
</LINE>
<LINE>
<WORD coords="645,1085,745,1031,1083">del</WORD>
<WORD coords="806,1085,910,1030,1084">Sol</WORD>
<WORD coords="944,1100,960,1074,1099">,</WORD>
<WORD coords="1017,1090,1318,1031,1087">iluminan</WORD>
<WORD coords="1356,1111,1393,1055,1105">y</WORD>
<WORD coords="1441,1099,1720,1038,1094">vivifican</WORD>
<WORD coords="1753,1114,1770,1074,1114">i</WORD>
<WORD coords="1813,1099,1930,1043,1098">dan</WORD>
<WORD coords="1989,1106,2383,1048,1102">crecimiento</WORD>
<WORD coords="2425,1127,2465,1071,1118">y</WORD>
<WORD coords="2522,1110,2863,1053,1108">movilidad</WORD>
<WORD coords="2924,1112,2958,1055,1112">á</WORD>
</LINE>
<LINE>
<WORD coords="639,1189,820,1132,1187">todas</WORD>
<WORD coords="886,1190,973,1135,1189">las</WORD>
<WORD coords="1035,1193,1225,1138,1192">Artes</WORD>
<WORD coords="1293,1201,1572,1140,1197">liberales</WORD>
<WORD coords="1625,1221,1665,1165,1213">y</WORD>
<WORD coords="1736,1205,2091,1149,1203">mecánicas-</WORD>
<WORD coords="2112,1221,2128,1195,1221">,</WORD>
<WORD coords="2160,1224,2276,1172,1208">que</WORD>
<WORD coords="2337,1228,2621,1157,1210">privadas</WORD>
<WORD coords="2687,1213,2763,1159,1213">de</WORD>
<WORD coords="2850,1218,2953,1179,1216">sus</WORD>
</LINE>
<LINE>
<WORD coords="628,1295,933,1236,1294">benéficos</WORD>
<WORD coords="986,1318,1164,1260,1297">rayos</WORD>
<WORD coords="1197,1315,1214,1287,1315">,</WORD>
<WORD coords="1256,1320,1538,1247,1302">yacerían</WORD>
<WORD coords="1598,1311,1925,1251,1307">marchitas</WORD>
<WORD coords="1979,1329,2018,1274,1320">y</WORD>
<WORD coords="2076,1311,2209,1256,1310">casi-</WORD>
<WORD coords="2254,1333,2490,1257,1313">ineptas</WORD>
<WORD coords="2548,1331,2689,1279,1315">para</WORD>
<WORD coords="2739,1323,2952,1262,1320">fructi-</WORD>
</LINE>
<LINE>
<WORD coords="625,1401,789,1342,1399">ficar.</WORD>
<WORD coords="885,1404,1097,1345,1402">Todas</WORD>
<WORD coords="1150,1405,1237,1349,1404">las</WORD>
<WORD coords="1286,1411,1604,1349,1408">Naciones</WORD>
<WORD coords="1664,1414,1999,1356,1412">ilustradas</WORD>
<WORD coords="2058,1415,2145,1361,1414">las</WORD>
<WORD coords="2186,1417,2304,1361,1417">han</WORD>
<WORD coords="2350,1423,2664,1364,1419">cultivado</WORD>
<WORD coords="2696,1439,2713,1413,1439">,</WORD>
<WORD coords="2770,1446,2809,1391,1438">y</WORD>
<WORD coords="2867,1431,2952,1376,1428">las</WORD>
</LINE>
<LINE>
<WORD coords="620,1508,754,1464,1507">mas</WORD>
<WORD coords="815,1525,1131,1452,1507">opulentas</WORD>
<WORD coords="1179,1513,1373,1455,1511">deben</WORD>
<WORD coords="1423,1517,1501,1478,1516">su.</WORD>
<WORD coords="1552,1537,1812,1461,1518">riqueza</WORD>
<WORD coords="1872,1521,2012,1484,1520">mas-</WORD>
<WORD coords="2060,1522,2199,1465,1521">bien</WORD>
<WORD coords="2242,1522,2272,1469,1522">á</WORD>
<WORD coords="2330,1524,2431,1467,1523">losr</WORD>
<WORD coords="2473,1533,2956,1475,1528">conocimientos</WORD>
</LINE>
<LINE>
<WORD coords="638,1617,1077,1556,1614">Matemáticos</WORD>
<WORD coords="1132,1638,1442,1563,1619">aplicados</WORD>
<WORD coords="1498,1622,1649,1567,1622">alas</WORD>
<WORD coords="1713,1643,1944,1576,1625">Artes,</WORD>
<WORD coords="2002,1646,2119,1591,1627">que</WORD>
<WORD coords="2179,1628,2206,1575,1628">á</WORD>
<WORD coords="2260,1628,2345,1574,1628">las</WORD>
<WORD coords="2395,1632,2589,1576,1631">minas</WORD>
<WORD coords="2653,1634,2727,1578,1633">de</WORD>
<WORD coords="2786,1652,2957,1581,1634">plata</WORD>
</LINE>
<LINE>
<WORD coords="628,1739,670,1679,1734">y</WORD>
<WORD coords="725,1720,833,1684,1718">oro</WORD>
<WORD coords="870,1736,885,1709,1736">,</WORD>
<WORD coords="934,1740,1048,1687,1723">que</WORD>
<WORD coords="1105,1746,1352,1669,1724">abrigan</WORD>
<WORD coords="1410,1727,1482,1691,1726">en</WORD>
<WORD coords="1540,1730,1611,1692,1728">su</WORD>
<WORD coords="1674,1731,1842,1692,1728">seno.</WORD>
<WORD coords="1936,1731,2029,1676,1731">En</WORD>
<WORD coords="2085,1733,2140,1678,1732">el</WORD>
<WORD coords="2199,1735,2357,1678,1733">Perú</WORD>
<WORD coords="2439,1737,2503,1699,1736">se</WORD>
<WORD coords="2570,1740,2870,1686,1737">comenzó</WORD>
<WORD coords="2922,1742,2960,1687,1742">i</WORD>
</LINE>
<LINE>
<WORD coords="618,1827,898,1770,1825">estudiar</WORD>
<WORD coords="959,1833,1090,1785,1830">esta</WORD>
<WORD coords="1143,1831,1317,1776,1830">noble</WORD>
<WORD coords="1353,1834,1583,1776,1832">ciencia</WORD>
<WORD coords="1636,1857,1782,1799,1835">muy</WORD>
<WORD coords="1828,1838,2007,1783,1836">tarde</WORD>
<WORD coords="2043,1857,2057,1827,1857">,</WORD>
<WORD coords="2101,1863,2177,1801,1840">ya</WORD>
<WORD coords="2232,1841,2332,1803,1840">sea</WORD>
<WORD coords="2383,1863,2611,1804,1844">porque</WORD>
<WORD coords="2659,1845,2788,1790,1844">solo</WORD>
<WORD coords="2843,1847,2955,1792,1846">do-</WORD>
</LINE>
<LINE>
<WORD coords="621,1934,868,1877,1932">minaba</WORD>
<WORD coords="925,1935,978,1880,1935">el</WORD>
<WORD coords="1028,1956,1207,1893,1937">gusto</WORD>
<WORD coords="1258,1958,1368,1901,1939">por</WORD>
<WORD coords="1424,1942,1479,1884,1942">la</WORD>
<WORD coords="1533,1968,1833,1885,1944">Teología</WORD>
<WORD coords="1889,1954,1971,1911,1950">en-</WORD>
<WORD coords="2004,1951,2184,1893,1949">todas-</WORD>
<WORD coords="2227,1951,2312,1895,1950">las</WORD>
<WORD coords="2380,1967,2716,1893,1951">Escuelas,</WORD>
<WORD coords="2771,1954,2819,1895,1954">ó,</WORD>
<WORD coords="2877,1973,2961,1915,1957">ya</WORD>
</LINE>
<LINE>
<WORD coords="625,2039,1021,1981,2036">ciertamente</WORD>
<WORD coords="1081,2063,1312,2005,2043">porque</WORD>
<WORD coords="1363,2047,1412,1991,2046">el</WORD>
<WORD coords="1451,2069,1738,1994,2050">gobierno</WORD>
<WORD coords="1777,2069,2125,1999,2054">peninsular</WORD>
<WORD coords="2179,2055,2342,2001,2054">tenia</WORD>
<WORD coords="2395,2056,2672,1999,2054">abatidos</WORD>
<WORD coords="2728,2056,2811,2001,2055">los</WORD>
<WORD coords="2857,2060,2948,2015,2059">ta-</WORD>
</LINE>
<LINE>
<WORD coords="627,2141,822,2082,2139">lentos</WORD>
<WORD coords="875,2164,1193,2105,2145">peruanos.</WORD>
<WORD coords="1288,2153,1401,2096,2152">Me</WORD>
<WORD coords="1456,2172,1666,2117,2155">parece</WORD>
<WORD coords="1716,2177,2016,2116,2159">oportuno</WORD>
<WORD coords="2068,2161,2178,2105,2160">dar</WORD>
<WORD coords="2226,2164,2344,2125,2161">una</WORD>
<WORD coords="2394,2164,2617,2106,2161">tintura</WORD>
<WORD coords="2662,2168,2956,2106,2163">histórica</WORD>
</LINE>
<LINE>
<WORD coords="635,2246,712,2188,2246">de</WORD>
<WORD coords="758,2248,811,2190,2247">la</WORD>
<WORD coords="864,2274,1278,2196,2253">propagación</WORD>
<WORD coords="1339,2259,1411,2202,2258">de</WORD>
<WORD coords="1458,2261,1542,2204,2259">las</WORD>
<WORD coords="1596,2264,1857,2205,2262">ciencias</WORD>
<WORD coords="1916,2266,2148,2222,2264">esactas</WORD>
<WORD coords="2211,2265,2281,2231,2264">en</WORD>
<WORD coords="2333,2268,2577,2223,2266">nuestra</WORD>
<WORD coords="2618,2285,2959,2211,2268">repúblicas</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="865,2357,940,2301,2357">El</WORD>
<WORD coords="999,2380,1231,2302,2359">Virrey</WORD>
<WORD coords="1290,2365,1479,2309,2364">Amat</WORD>
<WORD coords="1553,2368,1656,2311,2367">fue</WORD>
<WORD coords="1718,2367,1768,2316,2367">el</WORD>
<WORD coords="1832,2389,1948,2334,2370">que</WORD>
<WORD coords="2005,2389,2312,2314,2370">plantifico</WORD>
<WORD coords="2361,2391,2467,2335,2371">por</WORD>
<WORD coords="2515,2389,2777,2317,2372">primera</WORD>
<WORD coords="2838,2376,2964,2336,2373">vez&apos;</WORD>
</LINE>
<LINE>
<WORD coords="617,2462,693,2424,2462">en</WORD>
<WORD coords="757,2465,936,2408,2463">Abril</WORD>
<WORD coords="991,2468,1063,2409,2466">dé</WORD>
<WORD coords="1132,2472,1292,2415,2469">17.66.</WORD>
<WORD coords="1331,2470,1383,2416,2469">la</WORD>
<WORD coords="1432,2474,1696,2417,2472">Cátedra</WORD>
<WORD coords="1757,2473,1831,2420,2473">de</WORD>
<WORD coords="1891,2477,2327,2420,2474">Matemáticas</WORD>
<WORD coords="2386,2477,2460,2442,2477">en</WORD>
<WORD coords="2518,2477,2565,2425,2476">la</WORD>
<WORD coords="2622,2480,2951,2422,2476">Universi-</WORD>
</LINE>
<LINE>
<WORD coords="621,2568,744,2510,2567">dad</WORD>
<WORD coords="806,2571,882,2516,2571">de</WORD>
<WORD coords="944,2575,1062,2518,2573">San</WORD>
<WORD coords="1118,2576,1370,2521,2575">Marcos</WORD>
<WORD coords="1433,2577,1507,2522,2577">de</WORD>
<WORD coords="1561,2579,1737,2522,2578">Lima</WORD>
<WORD coords="1788,2601,1930,2525,2578">bajo</WORD>
<WORD coords="1991,2579,2043,2529,2579">la</WORD>
<WORD coords="2104,2581,2474,2527,2580">instrucción</WORD>
<WORD coords="2546,2604,2581,2548,2593">y</WORD>
<WORD coords="2644,2583,2954,2529,2582">dirección</WORD>
</LINE>
<LINE>
<WORD coords="620,2674,728,2618,2673">del</WORD>
<WORD coords="791,2680,1024,2623,2676">celebre</WORD>
<WORD coords="1068,2682,1147,2625,2680">D.</WORD>
<WORD coords="1189,2684,1268,2627,2682">D.</WORD>
<WORD coords="1303,2683,1526,2627,2682">Cosme</WORD>
<WORD coords="1565,2685,1774,2628,2684">Bueno</WORD>
<WORD coords="1811,2700,1824,2655,2693">;</WORD>
<WORD coords="1868,2687,2063,2632,2686">Como</WORD>
<WORD coords="2122,2694,2210,2633,2688">Jos</WORD>
<WORD coords="2245,2688,2556,2632,2686">Militares</WORD>
<WORD coords="2617,2689,2810,2634,2687">deben</WORD>
<WORD coords="2865,2687,2956,2652,2687">es-</WORD>
</LINE>
<LINE>
<WORD coords="621,2778,713,2733,2777">tar</WORD>
<WORD coords="797,2800,1268,2730,2783">especialmente</WORD>
<WORD coords="1333,2791,1644,2732,2788">imbuidos</WORD>
<WORD coords="1696,2791,1770,2737,2790">de</WORD>
<WORD coords="1829,2793,1931,2757,2791">sus</WORD>
<WORD coords="2001,2811,2381,2737,2792">piincipios,</WORD>
<WORD coords="2444,2793,2530,2738,2793">los</WORD>
<WORD coords="2580,2793,2842,2737,2792">oficiales</WORD>
<WORD coords="2882,2812,2922,2757,2812">y</WORD>
</LINE>
<LINE>
<WORD coords="633,2886,890,2827,2883">cadetes</WORD>
<WORD coords="935,2887,1032,2829,2886">del</WORD>
<WORD coords="1100,2911,1424,2835,2889">Ejército,</WORD>
<WORD coords="1484,2904,1601,2849,2892">qiie</WORD>
<WORD coords="1658,2895,1719,2859,2894">se</WORD>
<WORD coords="1768,2898,1999,2837,2895">hallaba</WORD>
<WORD coords="2060,2897,2131,2863,2896">en</WORD>
<WORD coords="2191,2916,2430,2844,2897">aquella</WORD>
<WORD coords="2493,2916,2752,2843,2897">capital,</WORD>
<WORD coords="2817,2898,2951,2840,2897">fue-</WORD>
</LINE>
<LINE>
<WORD coords="627,2987,734,2952,2986">ron</WORD>
<WORD coords="800,2993,1067,2938,2990">también</WORD>
<WORD coords="1131,2994,1220,2941,2993">los</WORD>
<WORD coords="1269,3015,1570,2943,2996">primeros</WORD>
<WORD coords="1617,3020,1977,2946,3000">discípulos.</WORD>
<WORD coords="2072,3005,2283,2950,3003">Desde</WORD>
<WORD coords="2340,3023,2582,2950,3004">aquella</WORD>
<WORD coords="2637,3020,2823,2967,3001">época</WORD>
<WORD coords="2882,3002,2948,2966,3001">se</WORD>
</LINE>
<LINE>
<WORD coords="632,3096,908,3037,3094">hicieron</WORD>
<WORD coords="961,3100,1255,3064,3098">comunes</WORD>
<WORD coords="1311,3102,1382,3067,3101">en</WORD>
<WORD coords="1434,3103,1613,3048,3102">Lima</WORD>
<WORD coords="1673,3104,1765,3055,3104">los</WORD>
<WORD coords="1822,3122,2128,3053,3106">preciosos</WORD>
<WORD coords="2183,3108,2482,3065,3107">teoremas</WORD>
<WORD coords="2539,3130,2577,3073,3127">y</WORD>
<WORD coords="2613,3124,2955,3051,3104">problemas</WORD>
</LINE>
<LINE>
<WORD coords="617,3199,694,3142,3199">de</WORD>
<WORD coords="759,3202,1052,3146,3201">Euclides</WORD>
<WORD coords="1094,3206,1106,3172,3206">:</WORD>
<WORD coords="1168,3206,1229,3172,3204">se</WORD>
<WORD coords="1280,3226,1400,3171,3206">oyó</WORD>
<WORD coords="1455,3209,1698,3172,3206">resonar</WORD>
<WORD coords="1752,3209,1805,3156,3209">la</WORD>
<WORD coords="1846,3212,2111,3154,3210">formula</WORD>
<WORD coords="2156,3213,2253,3159,3211">del</WORD>
<WORD coords="2308,3212,2588,3159,3210">Binomio</WORD>
<WORD coords="2658,3210,2731,3156,3209">de</WORD>
<WORD coords="2765,3212,2956,3154,3208">New-</WORD>
</LINE>
<LINE>
<WORD coords="619,3306,727,3260,3305">ton</WORD>
<WORD coords="753,3309,767,3277,3310">:</WORD>
<WORD coords="852,3310,902,3255,3309">la</WORD>
<WORD coords="986,3314,1365,3257,3311">Cuadratura</WORD>
<WORD coords="1425,3311,1520,3258,3310">del</WORD>
<WORD coords="1576,3313,1807,3257,3311">circulo</WORD>
<WORD coords="1867,3316,2104,3262,3313">calentó</WORD>
<WORD coords="2165,3317,2193,3268,3317">á</WORD>
<WORD coords="2272,3317,2525,3261,3315">muchos</WORD>
<WORD coords="2602,3314,2654,3262,3314">la</WORD>
<WORD coords="2711,3314,2966,3260,3311">cabeza:,</WORD>
</LINE>
<LINE>
<WORD coords="612,3435,1019,3358,3413">&apos;germinaron</WORD>
<WORD coords="1054,3436,1068,3408,3429">,</WORD>
<WORD coords="1129,3422,1213,3385,3419">en,</WORD>
<WORD coords="1275,3423,1446,3385,3420">suma</WORD>
<WORD coords="1478,3435,1496,3408,3428">,</WORD>
<WORD coords="1550,3421,1748,3377,3419">tantos</WORD>
<WORD coords="1799,3421,1997,3366,3419">sabios</WORD>
<WORD coords="2028,3436,2043,3412,3429">,</WORD>
<WORD coords="2112,3423,2313,3368,3421">cuales</WORD>
<WORD coords="2362,3421,2572,3368,3420">hemos</WORD>
<WORD coords="2632,3415,2955,3361,3410">admirado</WORD>
</LINE>
<LINE>
<WORD coords="628,3518,700,3484,3518">en</WORD>
<WORD coords="763,3521,849,3468,3520">ios</WORD>
<WORD coords="920,3540,1203,3467,3523">Buenos.,</WORD>
<WORD coords="1252,3526,1519,3471,3525">Paredes</WORD>
<WORD coords="1548,3539,1569,3476,3532">¡</WORD>
<WORD coords="1626,3526,1922,3472,3525">Morenos</WORD>
<WORD coords="1956,3543,1972,3515,3542">,</WORD>
<WORD coords="2030,3542,2363,3463,3526">Unánues.,</WORD>
<WORD coords="2446,3526,2510,3472,3525">P.</WORD>
<WORD coords="2596,3520,2865,3464,3518">Romero</WORD>
<WORD coords="2912,3539,2954,3482,3539">y</WORD>
</LINE>
<LINE>
<WORD coords="619,3633,823,3580,3623">otros.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="885,3736,981,3675,3733">En</WORD>
<WORD coords="1033,3753,1355,3678,3734">Arequipa</WORD>
<WORD coords="1414,3755,1732,3684,3737">promovió</WORD>
<WORD coords="1787,3740,1857,3703,3739">su</WORD>
<WORD coords="1914,3740,1975,3703,3738">es</WORD>
<WORD coords="1984,3738,2048,3694,3738">tu</WORD>
<WORD coords="2058,3739,2158,3681,3737">dúo</WORD>
<WORD coords="2216,3738,2284,3682,3738">el</WORD>
<WORD coords="2326,3741,2421,3680,3739">Sr.</WORD>
<WORD coords="2485,3750,2724,3680,3734">Obispo</WORD>
<WORD coords="2786,3734,2949,3676,3734">Cha-</WORD>
</LINE>
<LINE>
<WORD coords="628,3835,740,3797,3833">vez</WORD>
<WORD coords="810,3833,885,3779,3832">de</WORD>
<WORD coords="934,3838,983,3791,3838">U</WORD>
<WORD coords="1028,3840,1199,3777,3837">Bosa</WORD>
<WORD coords="1257,3857,1365,3805,3838">por</WORD>
<WORD coords="1424,3843,1628,3788,3840">medio</WORD>
<WORD coords="1688,3843,1787,3789,3842">del</WORD>
<WORD coords="1857,3844,1914,3791,3842">P.</WORD>
<WORD coords="2004,3844,2411,3788,3842">Franciscano</WORD>
<WORD coords="2467,3859,2773,3786,3838">Matraya.</WORD>
<WORD coords="2874,3842,2960,3784,3841">£1</WORD>
</LINE>
<LINE>
<WORD coords="638,3956,886,3882,3936">Colejio</WORD>
<WORD coords="939,3944,1270,3883,3939">Seminario</WORD>
<WORD coords="1318,3943,1392,3889,3943">de</WORD>
<WORD coords="1432,3944,1546,3890,3944">San</WORD>
<WORD coords="1610,3947,1945,3893,3945">Gerónimo</WORD>
<WORD coords="1989,3946,2091,3891,3945">fue</WORD>
<WORD coords="2137,3948,2335,3891,3946">donde</WORD>
<WORD coords="2386,3962,2651,3892,3943">primero</WORD>
<WORD coords="2697,3944,2760,3910,3944">se</WORD>
<WORD coords="2819,3948,2952,3891,3944">die&gt;</WORD>
</LINE>
<LINE>
<WORD coords="622,4048,751,3992,4045">VOn</WORD>
<WORD coords="810,4046,1115,3987,4044">lecciones</WORD>
<WORD coords="1170,4049,1245,3990,4048">de</WORD>
<WORD coords="1312,4052,1741,3991,4049">Matemáticas</WORD>
<WORD coords="1794,4052,1907,4012,4051">con</WORD>
<WORD coords="1962,4053,2060,4006,4052">tan</WORD>
<WORD coords="2113,4052,2275,3994,4050">buen</WORD>
<WORD coords="2328,4065,2534,3994,4048">éxito,</WORD>
<WORD coords="2570,4068,2687,4009,4051">que</WORD>
<WORD coords="2737,4053,2942,3991,4049">áhorV</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0006.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0007.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0007.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1366,614,1484,524,610">V.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="270,703,400,644,702">casi</WORD>
<WORD coords="446,703,530,663,703">n&lt;*</WORD>
<WORD coords="589,702,654,665,702">se</WORD>
<WORD coords="707,704,787,665,703">ve</WORD>
<WORD coords="834,705,915,666,704">un</WORD>
<WORD coords="975,705,1321,647,703">estudiante</WORD>
<WORD coords="1393,721,1499,669,703">por</WORD>
<WORD coords="1546,705,1599,649,705">(a</WORD>
<WORD coords="1655,708,1806,649,706">calle</WORD>
<WORD coords="1836,721,1852,693,721">,</WORD>
<WORD coords="1909,728,2028,668,709">que</WORD>
<WORD coords="2071,710,2152,669,709">no</WORD>
<WORD coords="2217,708,2572,647,706">demuestre</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="268,808,327,752,807">el</WORD>
<WORD coords="408,808,676,763,807">teorema</WORD>
<WORD coords="749,808,826,753,808">de</WORD>
<WORD coords="893,809,1022,751,807">Pita</WORD>
<WORD coords="1031,831,1208,751,807">¿oras</WORD>
<WORD coords="1243,823,1257,798,816">,</WORD>
<WORD coords="1313,808,1391,753,808">de</WORD>
<WORD coords="1444,828,1562,774,809">que</WORD>
<WORD coords="1635,810,1688,754,809">el</WORD>
<WORD coords="1739,813,2053,756,811">cuadrado</WORD>
<WORD coords="2107,814,2183,756,813">de</WORD>
<WORD coords="2234,811,2291,755,811">la</WORD>
<WORD coords="2360,831,2581,754,811">Hypo*</WORD>
</LINE>
<LINE>
<WORD coords="267,914,482,867,912">tenu*a</WORD>
<WORD coords="545,912,610,876,911">es</WORD>
<WORD coords="667,932,835,857,911">igual</WORD>
<WORD coords="886,911,957,877,911">en</WORD>
<WORD coords="1016,929,1340,855,910">superficie</WORD>
<WORD coords="1406,913,1444,861,913">k</WORD>
<WORD coords="1498,912,1556,858,912">la</WORD>
<WORD coords="1599,914,1774,875,913">suma</WORD>
<WORD coords="1823,917,1899,859,915">de</WORD>
<WORD coords="1942,917,2037,860,915">los</WORD>
<WORD coords="2093,919,2437,862,918">cuadrados</WORD>
<WORD coords="2489,918,2569,860,917">de</WORD>
</LINE>
<LINE>
<WORD coords="266,1017,357,960,1016">los</WORD>
<WORD coords="393,1020,671,963,1015">Catetos.</WORD>
<WORD coords="743,1016,857,965,1015">Así</WORD>
<WORD coords="898,1032,913,1007,1025">,</WORD>
<WORD coords="943,1015,1018,981,1015">no</WORD>
<WORD coords="1065,1015,1176,980,1015">nos</WORD>
<WORD coords="1226,1017,1424,962,1016">deben</WORD>
<WORD coords="1466,1018,1735,962,1016">admirar</WORD>
<WORD coords="1796,1020,1888,967,1019">los</WORD>
<WORD coords="1942,1042,2263,983,1020">progresos</WORD>
<WORD coords="2315,1042,2433,985,1022">que</WORD>
<WORD coords="2462,1023,2584,964,1021">han</WORD>
</LINE>
<LINE>
<WORD coords="270,1122,472,1065,1120">hecho</WORD>
<WORD coords="527,1123,601,1087,1122">en</WORD>
<WORD coords="658,1122,815,1077,1121">estas</WORD>
<WORD coords="875,1123,1136,1066,1121">ciencias</WORD>
<WORD coords="1207,1122,1282,1067,1121">f&gt;.</WORD>
<WORD coords="1353,1140,1515,1067,1126">Juan</WORD>
<WORD coords="1589,1123,1665,1068,1122">de</WORD>
<WORD coords="1732,1123,1880,1068,1123">Dios</WORD>
<WORD coords="1934,1141,2241,1067,1124">Zalazar,</WORD>
<WORD coords="2292,1126,2347,1069,1125">el</WORD>
<WORD coords="2426,1124,2567,1070,1124">des-</WORD>
</LINE>
<LINE>
<WORD coords="265,1247,554,1170,1224">graciado</WORD>
<WORD coords="616,1248,868,1173,1226">Melgar</WORD>
<WORD coords="899,1243,916,1216,1236">,</WORD>
<WORD coords="991,1228,1069,1172,1226">D.</WORD>
<WORD coords="1145,1247,1306,1172,1233">Juan</WORD>
<WORD coords="1367,1230,1706,1172,1229">Gualberto</WORD>
<WORD coords="1794,1233,2083,1172,1230">Baldibia</WORD>
<WORD coords="2116,1248,2134,1217,1240">,</WORD>
<WORD coords="2213,1233,2296,1174,1231">D.</WORD>
<WORD coords="2352,1232,2572,1171,1230">Tadeo</WORD>
</LINE>
<LINE>
<WORD coords="265,1330,396,1271,1329">Cha</WORD>
<WORD coords="407,1332,521,1294,1330">vez</WORD>
<WORD coords="566,1349,604,1296,1341">y</WORD>
<WORD coords="648,1334,841,1288,1331">otros.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="536,1438,809,1380,1436">Nuestra</WORD>
<WORD coords="888,1458,1133,1382,1436">antigua</WORD>
<WORD coords="1215,1442,1256,1406,1442">e</WORD>
<WORD coords="1312,1442,1523,1383,1440">ilustre</WORD>
<WORD coords="1605,1460,1840,1386,1441">Capital</WORD>
<WORD coords="1896,1443,1996,1385,1442">del</WORD>
<WORD coords="2060,1444,2277,1386,1443">Cuzco</WORD>
<WORD coords="2309,1461,2335,1430,1453">,</WORD>
<WORD coords="2381,1445,2461,1406,1444">no</WORD>
<WORD coords="2512,1444,2581,1404,1444">se</WORD>
</LINE>
<LINE>
<WORD coords="260,1558,495,1500,1538">porque</WORD>
<WORD coords="549,1560,866,1485,1538">desgracia</WORD>
<WORD coords="901,1557,925,1528,1557">f</WORD>
<WORD coords="970,1541,1034,1506,1540">se</WORD>
<WORD coords="1092,1545,1393,1487,1542">descuido</WORD>
<WORD coords="1476,1546,1556,1510,1545">en</WORD>
<WORD coords="1621,1548,1826,1488,1546">imitar</WORD>
<WORD coords="1884,1549,1975,1493,1547">los</WORD>
<WORD coords="2030,1549,2221,1493,1548">bellos</WORD>
<WORD coords="2275,1572,2577,1491,1548">ejemplos</WORD>
</LINE>
<LINE>
<WORD coords="260,1661,378,1606,1642">que</WORD>
<WORD coords="428,1644,490,1589,1643">le</WORD>
<WORD coords="554,1662,949,1591,1643">presentaban</WORD>
<WORD coords="1015,1646,1192,1591,1645">Lima</WORD>
<WORD coords="1252,1668,1297,1609,1668">y</WORD>
<WORD coords="1354,1669,1676,1593,1649">Arequipa</WORD>
<WORD coords="1708,1631,1720,1619,1631">-</WORD>
<WORD coords="1705,1664,1731,1637,1664">r</WORD>
<WORD coords="1787,1651,1881,1594,1650">sin</WORD>
<WORD coords="1934,1673,2228,1598,1651">embargo</WORD>
<WORD coords="2287,1651,2362,1597,1650">de</WORD>
<WORD coords="2409,1654,2584,1609,1651">tener</WORD>
</LINE>
<LINE>
<WORD coords="255,1750,453,1704,1747">tantas</WORD>
<WORD coords="514,1751,810,1695,1749">Cátedras</WORD>
<WORD coords="862,1750,937,1697,1750">de</WORD>
<WORD coords="996,1754,1282,1697,1752">Filosofía</WORD>
<WORD coords="1311,1773,1327,1742,1773">,</WORD>
<WORD coords="1371,1777,1530,1717,1754">cuyo</WORD>
<WORD coords="1586,1756,1756,1718,1755">ramo</WORD>
<WORD coords="1801,1757,1852,1701,1755">la</WORD>
<WORD coords="1909,1757,2113,1699,1756">Física</WORD>
<WORD coords="2161,1758,2239,1720,1758">no</WORD>
<WORD coords="2284,1757,2348,1720,1757">se</WORD>
<WORD coords="2382,1774,2582,1700,1756">puede</WORD>
</LINE>
<LINE>
<WORD coords="255,1855,531,1798,1853">estudiar</WORD>
<WORD coords="581,1856,674,1800,1855">sin</WORD>
<WORD coords="736,1856,822,1800,1855">las</WORD>
<WORD coords="904,1858,1066,1804,1857">luces</WORD>
<WORD coords="1124,1859,1223,1805,1859">del</WORD>
<WORD coords="1286,1863,1538,1807,1860">Calculo</WORD>
<WORD coords="1598,1882,1637,1825,1872">y</WORD>
<WORD coords="1705,1863,1761,1807,1862">la</WORD>
<WORD coords="1810,1863,2188,1806,1862">Geometría.</WORD>
<WORD coords="2280,1864,2579,1804,1862">Fecundo</WORD>
</LINE>
<LINE>
<WORD coords="253,1957,324,1920,1957">su</WORD>
<WORD coords="383,1959,555,1904,1958">suelo</WORD>
<WORD coords="614,1961,689,1923,1960">en</WORD>
<WORD coords="724,1963,998,1907,1961">talentos</WORD>
<WORD coords="1044,1981,1213,1922,1964">aptos</WORD>
<WORD coords="1273,1985,1413,1930,1966">para</WORD>
<WORD coords="1466,1970,1611,1912,1968">toda</WORD>
<WORD coords="1657,1969,1784,1921,1968">arte</WORD>
<WORD coords="1814,1989,1854,1933,1980">y</WORD>
<WORD coords="1911,1971,2140,1912,1968">ciencia</WORD>
<WORD coords="2171,1977,2186,1953,1977">,</WORD>
<WORD coords="2225,1994,2241,1933,1990">¡</WORD>
<WORD coords="2271,1987,2387,1933,1970">que</WORD>
<WORD coords="2435,1968,2581,1911,1967">ade-</WORD>
</LINE>
<LINE>
<WORD coords="251,2062,445,2005,2061">lantos</WORD>
<WORD coords="497,2064,572,2029,2064">no</WORD>
<WORD coords="614,2066,866,2009,2065">hubiese</WORD>
<WORD coords="912,2068,1109,2012,2066">hecho</WORD>
<WORD coords="1161,2069,1229,2034,2068">en</WORD>
<WORD coords="1284,2071,1339,2017,2070">el</WORD>
<WORD coords="1393,2073,1563,2031,2072">vasto</WORD>
<WORD coords="1608,2092,1826,2037,2073">campo</WORD>
<WORD coords="1857,2075,1933,2016,2074">de</WORD>
<WORD coords="1988,2076,2075,2019,2074">las</WORD>
<WORD coords="2107,2074,2370,2015,2072">ciencias</WORD>
<WORD coords="2402,2073,2575,2033,2072">esao</WORD>
</LINE>
<LINE>
<WORD coords="255,2172,369,2113,2165">tas!</WORD>
<WORD coords="465,2169,623,2115,2167">Pero</WORD>
<WORD coords="682,2169,755,2134,2168">no</WORD>
<WORD coords="793,2183,809,2159,2178">,</WORD>
<WORD coords="867,2171,1060,2117,2169">Señor</WORD>
<WORD coords="1094,2186,1108,2142,2180">;</WORD>
<WORD coords="1161,2174,1217,2121,2173">la</WORD>
<WORD coords="1269,2177,1469,2121,2176">ruti&amp;a</WORD>
<WORD coords="1526,2178,1602,2123,2178">de</WORD>
<WORD coords="1667,2179,1867,2134,2178">tantos</WORD>
<WORD coords="1927,2200,2117,2122,2178">siglos</WORD>
<WORD coords="2180,2197,2300,2142,2178">que</WORD>
<WORD coords="2351,2178,2574,2120,2176">servil-</WORD>
</LINE>
<LINE>
<WORD coords="250,2270,453,2228,2269">mente</WORD>
<WORD coords="514,2271,602,2216,2270">los</WORD>
<WORD coords="654,2275,1034,2220,2272">encadenaba</WORD>
<WORD coords="1075,2285,1089,2247,2285">;</WORD>
<WORD coords="1132,2296,1336,2226,2279">Aquel</WORD>
<WORD coords="1394,2303,1563,2227,2282">Ergo</WORD>
<WORD coords="1605,2305,1646,2249,2305">y</WORD>
<WORD coords="1701,2310,1886,2231,2286">Atqui</WORD>
<WORD coords="1949,2286,2300,2226,2284">embutidos</WORD>
<WORD coords="2347,2283,2377,2228,2283">á</WORD>
<WORD coords="2420,2283,2583,2241,2281">mar-</WORD>
</LINE>
<LINE>
<WORD coords="253,2374,385,2319,2372">tillo</WORD>
<WORD coords="420,2391,435,2365,2388">,</WORD>
<WORD coords="495,2376,570,2340,2375">no</WORD>
<WORD coords="633,2398,775,2320,2378">digo</WORD>
<WORD coords="825,2379,894,2345,2378">en</WORD>
<WORD coords="957,2381,1038,2327,2379">las</WORD>
<WORD coords="1104,2389,1490,2326,2385">discusiones</WORD>
<WORD coords="1564,2391,1868,2334,2389">literarias</WORD>
<WORD coords="1900,2406,1916,2379,2406">,</WORD>
<WORD coords="1968,2411,2117,2353,2391">pero</WORD>
<WORD coords="2174,2391,2295,2350,2389">aun</WORD>
<WORD coords="2352,2388,2427,2349,2387">en</WORD>
<WORD coords="2487,2387,2575,2331,2385">las</WORD>
</LINE>
<LINE>
<WORD coords="250,2484,750,2429,2480">conversaciones</WORD>
<WORD coords="833,2491,1165,2429,2487">familiares</WORD>
<WORD coords="1199,2491,1209,2459,2491">:</WORD>
<WORD coords="1255,2511,1463,2438,2492">Aquel</WORD>
<WORD coords="1501,2512,1773,2437,2493">^iimtio</WORD>
<WORD coords="1799,2512,1816,2483,2504">,</WORD>
<WORD coords="1847,2496,2048,2451,2495">utriim</WORD>
<WORD coords="2101,2498,2276,2439,2496">detur</WORD>
<WORD coords="2327,2498,2572,2440,2496">univer*</WORD>
</LINE>
<LINE>
<WORD coords="244,2586,369,2534,2585">sale</WORD>
<WORD coords="426,2586,459,2553,2586">a</WORD>
<WORD coords="511,2608,690,2544,2588">parte</WORD>
<WORD coords="741,2591,828,2556,2590">reí</WORD>
<WORD coords="910,2612,1323,2541,2595">pronunciado</WORD>
<WORD coords="1383,2599,1494,2563,2598">con</WORD>
<WORD coords="1550,2601,1697,2558,2600">tono</WORD>
<WORD coords="1747,2623,2121,2545,2601">majestuoso</WORD>
<WORD coords="2154,2603,2170,2565,2603">:</WORD>
<WORD coords="2202,2622,2382,2546,2603">aquel</WORD>
<WORD coords="2432,2619,2573,2562,2600">pru-</WORD>
</LINE>
<LINE>
<WORD coords="250,2691,367,2637,2689">rito</WORD>
<WORD coords="422,2693,496,2639,2692">de</WORD>
<WORD coords="556,2694,753,2637,2693">hallar</WORD>
<WORD coords="809,2718,1168,2656,2698">argumento</WORD>
<WORD coords="1217,2720,1251,2666,2712">y</WORD>
<WORD coords="1314,2704,1633,2646,2702">dificultad</WORD>
<WORD coords="1685,2724,1826,2668,2705">para</WORD>
<WORD coords="1872,2705,2023,2649,2705">todo</WORD>
<WORD coords="2052,2722,2068,2694,2722">,</WORD>
<WORD coords="2112,2726,2152,2669,2718">y</WORD>
<WORD coords="2196,2711,2273,2655,2711">de</WORD>
<WORD coords="2306,2711,2571,2668,2707">conven-</WORD>
</LINE>
<LINE>
<WORD coords="248,2798,348,2763,2797">cer</WORD>
<WORD coords="403,2800,455,2745,2799">al</WORD>
<WORD coords="512,2803,888,2758,2800">sustentante</WORD>
<WORD coords="936,2822,1051,2771,2805">que</WORD>
<WORD coords="1098,2808,1153,2755,2807">lo</WORD>
<WORD coords="1212,2812,1426,2757,2809">blanco</WORD>
<WORD coords="1482,2812,1546,2777,2811">es</WORD>
<WORD coords="1616,2833,1808,2775,2811">negro</WORD>
<WORD coords="1855,2834,1895,2777,2823">y</WORD>
<WORD coords="1947,2813,2006,2757,2812">lo</WORD>
<WORD coords="2060,2835,2251,2776,2812">negro</WORD>
<WORD coords="2319,2827,2566,2757,2812">blanco,</WORD>
</LINE>
<LINE>
<WORD coords="252,2905,430,2847,2904">había</WORD>
<WORD coords="520,2931,845,2855,2906">estragado</WORD>
<WORD coords="925,2911,1002,2858,2910">de</WORD>
<WORD coords="1087,2917,1287,2875,2914">suelte</WORD>
<WORD coords="1372,2916,1422,2861,2915">el</WORD>
<WORD coords="1484,2941,1670,2874,2919">gustos</WORD>
<WORD coords="1736,2920,1811,2861,2918">de</WORD>
<WORD coords="1891,2920,1953,2864,2919">la</WORD>
<WORD coords="2019,2940,2331,2861,2918">juventud</WORD>
<WORD coords="2409,2915,2574,2870,2914">estu-</WORD>
</LINE>
<LINE>
<WORD coords="245,3011,420,2955,3009">diosa</WORD>
<WORD coords="458,3026,474,2999,3026">,</WORD>
<WORD coords="519,3030,635,2978,3013">que</WORD>
<WORD coords="696,3031,931,2962,3013">parecía</WORD>
<WORD coords="988,3035,1308,2964,3018">imposible</WORD>
<WORD coords="1369,3025,1651,2965,3022">hacerles</WORD>
<WORD coords="1721,3025,1911,2971,3023">sentir</WORD>
<WORD coords="1952,3023,2006,2969,3022">el</WORD>
<WORD coords="2066,3041,2402,2965,3019">agradable</WORD>
<WORD coords="2466,3019,2567,2979,3018">sa-</WORD>
</LINE>
<LINE>
<WORD coords="246,3114,355,3058,3112">bor</WORD>
<WORD coords="416,3115,490,3063,3115">de</WORD>
<WORD coords="556,3118,639,3064,3116">las</WORD>
<WORD coords="720,3124,1153,3064,3121">Matemáticas</WORD>
<WORD coords="1193,3130,1205,3095,3127">¡</WORD>
<WORD coords="1267,3125,1342,3091,3123">rao</WORD>
<WORD coords="1406,3126,1480,3073,3125">de</WORD>
<WORD coords="1539,3127,1669,3084,3125">otra</WORD>
<WORD coords="1747,3127,1992,3089,3125">manera</WORD>
<WORD coords="2026,3141,2041,3115,3141">,</WORD>
<WORD coords="2100,3144,2217,3089,3125">que</WORD>
<WORD coords="2268,3141,2570,3066,3121">aquellos,</WORD>
</LINE>
<LINE>
<WORD coords="248,3238,401,3183,3216">cuya</WORD>
<WORD coords="462,3243,678,3167,3220">lengua</WORD>
<WORD coords="737,3224,861,3186,3223">esta</WORD>
<WORD coords="927,3230,1256,3171,3227">habituada</WORD>
<WORD coords="1305,3227,1359,3175,3227">al</WORD>
<WORD coords="1412,3231,1608,3172,3229">fuerte</WORD>
<WORD coords="1663,3231,1949,3176,3229">estimulo</WORD>
<WORD coords="2028,3230,2107,3174,3229">ele</WORD>
<WORD coords="2162,3230,2254,3177,3230">los</WORD>
<WORD coords="2324,3242,2568,3171,3225">licores,</WORD>
</LINE>
<LINE>
<WORD coords="245,3325,520,3268,3322">detectan</WORD>
<WORD coords="592,3326,645,3274,3325">la</WORD>
<WORD coords="706,3330,971,3274,3327">dulzura</WORD>
<WORD coords="1033,3330,1103,3279,3330">ele</WORD>
<WORD coords="1165,3332,1218,3280,3331">la</WORD>
<WORD coords="1270,3340,1461,3281,3333">miel;</WORD>
<WORD coords="1520,3335,1607,3281,3334">asi</WORD>
<WORD coords="1663,3335,1943,3291,3334">nuestros</WORD>
<WORD coords="2006,3334,2326,3280,3332">Escolares</WORD>
<WORD coords="2387,3331,2560,3293,3330">acos-</WORD>
</LINE>
<LINE>
<WORD coords="243,3431,603,3375,3428">tumbrados</WORD>
<WORD coords="663,3431,717,3379,3431">al</WORD>
<WORD coords="768,3453,1001,3381,3433">picante</WORD>
<WORD coords="1056,3438,1154,3384,3437">del</WORD>
<WORD coords="1214,3437,1258,3406,3437">s&lt;</WORD>
<WORD coords="1286,3441,1460,3383,3439">fisma</WORD>
<WORD coords="1519,3458,1863,3385,3440">asqueaban</WORD>
<WORD coords="1909,3439,1962,3386,3439">el</WORD>
<WORD coords="2019,3440,2272,3383,3438">almíbar</WORD>
<WORD coords="2316,3439,2390,3384,3439">de</WORD>
<WORD coords="2444,3440,2562,3399,3438">una</WORD>
</LINE>
<LINE>
<WORD coords="243,3537,702,3478,3534">demostración</WORD>
<WORD coords="752,3541,981,3485,3538">cifrada</WORD>
<WORD coords="1037,3542,1106,3507,3541">en</WORD>
<WORD coords="1166,3543,1313,3508,3542">unas</WORD>
<WORD coords="1358,3565,1535,3509,3544">rayas</WORD>
<WORD coords="1585,3546,1865,3490,3544">sencillas</WORD>
<WORD coords="1893,3559,1916,3534,3559">v</WORD>
<WORD coords="1966,3546,2064,3502,3544">tan</WORD>
<WORD coords="2111,3544,2245,3490,3542">solo</WORD>
<WORD coords="2301,3564,2408,3508,3543">por</WORD>
<WORD coords="2442,3564,2562,3506,3543">que</WORD>
</LINE>
<LINE>
<WORD coords="239,3639,318,3599,3638">no</WORD>
<WORD coords="383,3641,561,3584,3640">había</WORD>
<WORD coords="609,3665,780,3589,3642">lugar</WORD>
<WORD coords="829,3662,963,3611,3644">para</WORD>
<WORD coords="1005,3647,1199,3605,3647">meter</WORD>
<WORD coords="1251,3649,1329,3614,3649">un</WORD>
<WORD coords="1360,3670,1723,3607,3648">argumento</WORD>
<WORD coords="1780,3670,2174,3597,3647">coneiuyente</WORD>
<WORD coords="2207,3647,2279,3612,3646">en</WORD>
<WORD coords="2325,3649,2556,3605,3646">contra.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="486,3747,545,3694,3747">A</WORD>
<WORD coords="601,3764,775,3711,3745">pesar</WORD>
<WORD coords="830,3749,907,3698,3748">de</WORD>
<WORD coords="964,3752,1120,3710,3750">estas</WORD>
<WORD coords="1179,3770,1695,3698,3752">preocupaciones</WORD>
<WORD coords="1731,3773,1751,3740,3763">,</WORD>
<WORD coords="1809,3753,1884,3717,3751">no</WORD>
<WORD coords="1938,3754,2197,3697,3750">faltaron</WORD>
<WORD coords="2260,3752,2551,3695,3751">hombres</WORD>
</LINE>
<LINE>
<WORD coords="235,3846,312,3790,3845">de</WORD>
<WORD coords="367,3853,869,3792,3848">discernimiento</WORD>
<WORD coords="903,3869,920,3843,3869">,</WORD>
<WORD coords="955,3870,1070,3820,3855">que</WORD>
<WORD coords="1115,3858,1474,3803,3856">conociesen</WORD>
<WORD coords="1526,3857,1582,3802,3856">el</WORD>
<WORD coords="1626,3857,1872,3822,3856">enorme</WORD>
<WORD coords="1919,3856,2114,3801,3855">hueco</WORD>
<WORD coords="2166,3868,2282,3819,3855">que</WORD>
<WORD coords="2339,3873,2553,3818,3851">prove-</WORD>
</LINE>
<LINE>
<WORD coords="237,3949,337,3897,3947">nia</WORD>
<WORD coords="381,3950,409,3902,3953">á</WORD>
<WORD coords="463,3953,549,3898,3952">las</WORD>
<WORD coords="599,3957,863,3902,3954">ciencias</WORD>
<WORD coords="928,3960,1001,3906,3958">de</WORD>
<WORD coords="1061,3959,1113,3906,3959">la</WORD>
<WORD coords="1174,3980,1525,3905,3958">ignorancia</WORD>
<WORD coords="1577,3959,1649,3905,3959">de</WORD>
<WORD coords="1702,3961,1789,3906,3959">las</WORD>
<WORD coords="1849,3960,2307,3904,3958">Matemáticas.</WORD>
<WORD coords="2403,3959,2546,3905,3957">Don</WORD>
</LINE>
<LINE>
<WORD coords="239,4061,572,3994,4056">Francisca</WORD>
<WORD coords="649,4086,1015,4005,4063">Rodrigues</WORD>
<WORD coords="1068,4071,1238,4010,4068">dictó</WORD>
<WORD coords="1322,4088,1580,4011,4067">algunos</WORD>
<WORD coords="1634,4087,1971,4008,4065">principios</WORD>
<WORD coords="2030,4067,2104,4027,4066">en</WORD>
<WORD coords="2159,4065,2216,4008,4064">el</WORD>
<WORD coords="2280,4081,2540,4004,4061">antiguo</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0007.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0008.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0008.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="654,714,694,656,714">C</WORD>
<WORD coords="812,664,842,656,681">&quot;</WORD>
<WORD coords="962,678,976,652,678">1</WORD>
<WORD coords="1054,700,1164,652,699">&quot;sn</WORD>
<WORD coords="1200,704,1514,642,697">Bernardo</WORD>
<WORD coords="1544,710,1560,682,710">,</WORD>
<WORD coords="1606,710,1748,654,690">pero</WORD>
<WORD coords="1800,692,1886,612,687">¡os</WORD>
<WORD coords="1936,704,2262,622,681">prejuicios</WORD>
<WORD coords="2316,698,2628,620,676">ahogaron</WORD>
<WORD coords="2684,674,2742,618,674">la</WORD>
<WORD coords="2794,674,2954,614,672">cien-</WORD>
</LINE>
<LINE>
<WORD coords="656,820,746,778,818">cia</WORD>
<WORD coords="790,814,860,780,814">tu</WORD>
<WORD coords="916,814,984,776,813">su</WORD>
<WORD coords="1046,812,1258,756,808">misma</WORD>
<WORD coords="1310,802,1502,746,799">Cana.</WORD>
<WORD coords="1602,796,1748,742,794">Pan</WORD>
<WORD coords="1804,792,2098,732,787">felicidad</WORD>
<WORD coords="2168,786,2248,732,786">de</WORD>
<WORD coords="2310,784,2396,730,782">las</WORD>
<WORD coords="2456,782,2634,732,780">letras</WORD>
<WORD coords="2690,780,2752,744,779">se</WORD>
<WORD coords="2806,778,2956,722,777">hizo</WORD>
</LINE>
<LINE>
<WORD coords="660,940,842,882,917">cargo</WORD>
<WORD coords="900,914,976,862,914">de</WORD>
<WORD coords="1026,912,1094,830,912">la&quot;</WORD>
<WORD coords="1142,914,1404,852,907">reforma</WORD>
<WORD coords="1446,902,1544,848,901">del</WORD>
<WORD coords="1590,900,1914,838,897">antedicho</WORD>
<WORD coords="1962,914,2186,836,891">colejio</WORD>
<WORD coords="2238,890,2290,832,889">el</WORD>
<WORD coords="2332,890,2428,832,888">Sr,</WORD>
<WORD coords="2496,888,2608,830,884">Dr.</WORD>
<WORD coords="2672,882,2764,832,882">Un</WORD>
<WORD coords="2824,880,2956,826,880">Mi-</WORD>
</LINE>
<LINE>
<WORD coords="680,1046,822,978,1022">guel</WORD>
<WORD coords="880,1020,1118,966,1016">Orosco</WORD>
<WORD coords="1152,1030,1168,1002,1022">,</WORD>
<WORD coords="1198,1014,1392,958,1010">actual</WORD>
<WORD coords="1412,1008,1580,954,1007">Dean</WORD>
<WORD coords="1626,1006,1702,950,1005">de</WORD>
<WORD coords="1760,1004,1886,958,1002">esta</WORD>
<WORD coords="1946,1020,2222,938,997">iglesia:</WORD>
<WORD coords="2278,996,2408,950,993">esta</WORD>
<WORD coords="2468,1008,2664,934,990">puede</WORD>
<WORD coords="2716,986,2958,932,984">llamar-</WORD>
</LINE>
<LINE>
<WORD coords="662,1130,728,1094,1129">se</WORD>
<WORD coords="792,1126,844,1072,1125">la</WORD>
<WORD coords="898,1140,1088,1084,1119">época</WORD>
<WORD coords="1142,1118,1216,1064,1118">de</WORD>
<WORD coords="1248,1118,1316,1062,1116">la</WORD>
<WORD coords="1366,1114,1790,1056,1110">introducción</WORD>
<WORD coords="1856,1108,1930,1052,1107">de</WORD>
<WORD coords="1982,1104,2066,1052,1103">las</WORD>
<WORD coords="2126,1102,2316,1046,1099">bellas</WORD>
<WORD coords="2386,1096,2544,1050,1094">artes</WORD>
<WORD coords="2600,1116,2636,1060,1110">y</WORD>
<WORD coords="2692,1094,2962,1034,1090">ciencias</WORD>
</LINE>
<LINE>
<WORD coords="660,1234,734,1198,1233">en</WORD>
<WORD coords="794,1232,844,1178,1231">el</WORD>
<WORD coords="898,1228,1128,1176,1226">Cuzco,</WORD>
<WORD coords="1216,1222,1306,1164,1221">La</WORD>
<WORD coords="1390,1218,1638,1162,1215">Música</WORD>
<WORD coords="1696,1214,1862,1168,1212">antes</WORD>
<WORD coords="1910,1212,2148,1152,1208">ved^dr</WORD>
<WORD coords="2198,1204,2224,1154,1207">á</WORD>
<WORD coords="2278,1202,2366,1148,1201">los</WORD>
<WORD coords="2404,1222,2668,1144,1198">jóvenes</WORD>
<WORD coords="2706,1200,2718,1186,1205">.</WORD>
<WORD coords="2780,1196,2958,1156,1194">como</WORD>
</LINE>
<LINE>
<WORD coords="658,1356,1020,1292,1335">corruptora</WORD>
<WORD coords="1080,1330,1154,1276,1330">de</WORD>
<WORD coords="1216,1328,1304,1274,1328">las</WORD>
<WORD coords="1356,1326,1736,1266,1322">costumbres</WORD>
<WORD coords="1764,1332,1782,1308,1325">,</WORD>
<WORD coords="1812,1318,1876,1282,1318">se</WORD>
<WORD coords="1934,1316,2236,1256,1311">enseñaba</WORD>
<WORD coords="2266,1308,2340,1270,1307">en</WORD>
<WORD coords="2394,1304,2456,1252,1302">S.</WORD>
<WORD coords="2508,1304,2724,1248,1302">Berna,</WORD>
<WORD coords="2744,1300,2820,1246,1299">do</WORD>
<WORD coords="2858,1314,2966,1256,1296">por</WORD>
</LINE>
<LINE>
<WORD coords="654,1468,986,1388,1444">principios</WORD>
<WORD coords="1020,1442,1036,1408,1439">:</WORD>
<WORD coords="1074,1436,1166,1382,1435">La</WORD>
<WORD coords="1220,1432,1358,1380,1432">aula</WORD>
<WORD coords="1416,1428,1492,1376,1427">de</WORD>
<WORD coords="1552,1448,1780,1370,1426">Dibujo</WORD>
<WORD coords="1812,1424,1984,1364,1423">hacía</WORD>
<WORD coords="2052,1424,2320,1358,1415">notables</WORD>
<WORD coords="2374,1426,2696,1370,1405">progresos</WORD>
<WORD coords="2752,1424,2886,1350,1402">bájo</WORD>
<WORD coords="2920,1402,2976,1348,1401">la</WORD>
</LINE>
<LINE>
<WORD coords="662,1554,1034,1494,1549">instrucción</WORD>
<WORD coords="1086,1544,1160,1488,1543">de</WORD>
<WORD coords="1214,1540,1292,1482,1538">D.</WORD>
<WORD coords="1362,1552,1702,1476,1535">Eustaquio</WORD>
<WORD coords="1760,1530,2048,1472,1525">Rebollar</WORD>
<WORD coords="2072,1526,2088,1492,1526">:</WORD>
<WORD coords="2120,1522,2174,1462,1521">el</WORD>
<WORD coords="2236,1522,2386,1462,1518">Alte</WORD>
<WORD coords="2442,1512,2520,1458,1512">de</WORD>
<WORD coords="2574,1512,2830,1452,1508">escribir</WORD>
<WORD coords="2864,1522,2972,1464,1504">por</WORD>
</LINE>
<LINE>
<WORD coords="664,1674,1016,1602,1653">Torquatro</WORD>
<WORD coords="1068,1648,1264,1590,1646">Torio</WORD>
<WORD coords="1310,1646,1420,1584,1643">alli</WORD>
<WORD coords="1478,1638,1516,1582,1638">h</WORD>
<WORD coords="1548,1638,1626,1602,1637">zo</WORD>
<WORD coords="1684,1636,1756,1598,1635">su</WORD>
<WORD coords="1814,1652,2074,1574,1630">especial</WORD>
<WORD coords="2134,1626,2364,1572,1622">asiento</WORD>
<WORD coords="2394,1620,2408,1586,1625">:</WORD>
<WORD coords="2460,1616,2550,1560,1615">La</WORD>
<WORD coords="2630,1614,2986,1548,1609">Gramática</WORD>
</LINE>
<LINE>
<WORD coords="668,1764,1012,1706,1760">Castellana</WORD>
<WORD coords="1068,1774,1100,1720,1763">y</WORD>
<WORD coords="1154,1752,1376,1694,1749">Latina</WORD>
<WORD coords="1424,1748,1486,1710,1747">se</WORD>
<WORD coords="1536,1744,1892,1684,1740">estudiaban</WORD>
<WORD coords="1948,1736,2058,1696,1734">con</WORD>
<WORD coords="2118,1732,2358,1690,1728">esmero</WORD>
<WORD coords="2388,1726,2402,1690,1730">:</WORD>
<WORD coords="2458,1722,2512,1668,1722">¡a</WORD>
<WORD coords="2576,1722,2864,1660,1717">Filosofía</WORD>
<WORD coords="2918,1712,2984,1674,1712">se</WORD>
</LINE>
<LINE>
<WORD coords="664,1870,896,1810,1868">enseñó</WORD>
<WORD coords="960,1866,1032,1826,1866">en</WORD>
<WORD coords="1090,1860,1146,1804,1859">el</WORD>
<WORD coords="1202,1876,1482,1798,1853">lenguaje</WORD>
<WORD coords="1540,1868,1754,1792,1845">vulgar</WORD>
<WORD coords="1806,1864,1998,1804,1841">según</WORD>
<WORD coords="2046,1838,2100,1782,1837">el</WORD>
<WORD coords="2160,1836,2300,1788,1833">voto</WORD>
<WORD coords="2356,1830,2432,1776,1830">de</WORD>
<WORD coords="2480,1828,2660,1770,1826">todos</WORD>
<WORD coords="2720,1820,2812,1766,1819">los</WORD>
<WORD coords="2886,1818,2984,1782,1818">sa-</WORD>
</LINE>
<LINE>
<WORD coords="666,1986,842,1918,1977">bios,</WORD>
<WORD coords="900,1982,1422,1904,1962">comprendiendo</WORD>
<WORD coords="1480,1974,1588,1918,1954">por</WORD>
<WORD coords="1652,1952,1722,1916,1952">su</WORD>
<WORD coords="1792,1948,1982,1892,1946">orden</WORD>
<WORD coords="2044,1946,2204,1898,1941">estos</WORD>
<WORD coords="2274,1938,2522,1898,1935">ramos,</WORD>
<WORD coords="2580,1930,2852,1872,1926">Historia</WORD>
<WORD coords="2912,1926,2992,1868,1925">de</WORD>
</LINE>
<LINE>
<WORD coords="668,2086,728,2030,2085">la</WORD>
<WORD coords="818,2080,1104,2016,2073">Filosefia</WORD>
<WORD coords="1140,2086,1156,2058,2086">,</WORD>
<WORD coords="1216,2086,1448,2008,2067">Lógica</WORD>
<WORD coords="1522,2076,1834,2000,2056">depurada</WORD>
<WORD coords="1892,2052,1966,1996,2051">de</WORD>
<WORD coords="2050,2048,2136,1994,2047">las</WORD>
<WORD coords="2214,2058,2484,1984,2040">inepcias</WORD>
<WORD coords="2542,2054,2996,1974,2030">peripatéticas,</WORD>
</LINE>
<LINE>
<WORD coords="668,2192,828,2136,2187">Arte</WORD>
<WORD coords="866,2182,1096,2124,2178">Critica</WORD>
<WORD coords="1148,2196,1182,2140,2184">y</WORD>
<WORD coords="1218,2172,1694,2108,2166">Hermenéutica</WORD>
<WORD coords="1724,2176,1742,2148,2173">,</WORD>
<WORD coords="1782,2170,2124,2096,2154">Principios</WORD>
<WORD coords="2156,2150,2230,2094,2149">de</WORD>
<WORD coords="2268,2154,2576,2086,2142">Retorica,</WORD>
<WORD coords="2610,2138,2984,2078,2134">Metafísica.</WORD>
</LINE>
<LINE>
<WORD coords="672,2312,896,2238,2291">Luego</WORD>
<WORD coords="928,2286,956,2236,2286">á</WORD>
<WORD coords="990,2286,1322,2222,2281">instancias</WORD>
<WORD coords="1354,2274,1456,2216,2273">del</WORD>
<WORD coords="1492,2272,1708,2214,2268">mismo</WORD>
<WORD coords="1736,2268,1836,2210,2264">Sr,</WORD>
<WORD coords="1874,2262,2102,2206,2259">Rector</WORD>
<WORD coords="2166,2254,2228,2218,2253">se</WORD>
<WORD coords="2284,2270,2488,2192,2248">siguió</WORD>
<WORD coords="2548,2244,2604,2190,2243">el</WORD>
<WORD coords="2640,2248,2898,2184,2239">estudio,</WORD>
<WORD coords="2918,2240,2998,2176,2239">de</WORD>
</LINE>
<LINE>
<WORD coords="672,2402,760,2346,2400">las</WORD>
<WORD coords="798,2398,1232,2332,2388">Matemáticas</WORD>
<WORD coords="1266,2396,1282,2370,2396">,</WORD>
<WORD coords="1308,2396,1464,2340,2380">cuya</WORD>
<WORD coords="1534,2374,1880,2320,2371">enseñanza</WORD>
<WORD coords="1930,2386,2250,2304,2360">promovió</WORD>
<WORD coords="2280,2374,2300,2346,2372">,</WORD>
<WORD coords="2330,2370,2436,2314,2352">por</WORD>
<WORD coords="2470,2348,2720,2304,2345">cuantos</WORD>
<WORD coords="2764,2344,3000,2286,2342">med.os</WORD>
</LINE>
<LINE>
<WORD coords="674,2510,732,2450,2508">le</WORD>
<WORD coords="786,2508,1002,2448,2502">fueron</WORD>
<WORD coords="1056,2512,1322,2434,2489">posibles</WORD>
<WORD coords="1352,2498,1366,2474,2491">,</WORD>
<WORD coords="1392,2484,1446,2430,2484">el</WORD>
<WORD coords="1480,2482,1678,2424,2479">actual</WORD>
<WORD coords="1728,2478,2248,2412,2470">Excelentísimo</WORD>
<WORD coords="2284,2460,2482,2404,2457">Señor</WORD>
<WORD coords="2524,2454,2880,2392,2449">Presidente</WORD>
<WORD coords="2920,2448,3002,2390,2448">D.</WORD>
</LINE>
<LINE>
<WORD coords="682,2630,956,2548,2610">Agustín</WORD>
<WORD coords="1050,2604,1392,2542,2597">Gamarrá,</WORD>
<WORD coords="1476,2606,1592,2550,2587">que</WORD>
<WORD coords="1654,2586,1684,2530,2584">á</WORD>
<WORD coords="1746,2582,1802,2528,2581">la</WORD>
<WORD coords="1854,2580,2046,2540,2577">sazón</WORD>
<WORD coords="2116,2592,2460,2510,2565">gobernaba</WORD>
<WORD coords="2518,2560,2646,2516,2559">este</WORD>
<WORD coords="2706,2574,3036,2504,2553">Departa-,</WORD>
</LINE>
<LINE>
<WORD coords="680,2722,888,2672,2718">mentó</WORD>
<WORD coords="942,2730,1090,2674,2710">poco</WORD>
<WORD coords="1154,2718,1416,2646,2701">después</WORD>
<WORD coords="1474,2694,1548,2638,2694">de</WORD>
<WORD coords="1606,2692,1790,2632,2689">haber</WORD>
<WORD coords="1832,2700,2180,2620,2679">cooperado</WORD>
<WORD coords="2236,2676,2268,2620,2679">á</WORD>
<WORD coords="2298,2672,2548,2626,2668">nuestra</WORD>
<WORD coords="2590,2686,2856,2610,2661">gloriosa</WORD>
<WORD coords="2914,2656,3004,2618,2656">in-</WORD>
</LINE>
<LINE>
<WORD coords="690,2840,1108,2760,2819">dependencia</WORD>
<WORD coords="1156,2812,1226,2776,2812">en</WORD>
<WORD coords="1286,2810,1342,2752,2806">i?.</WORD>
<WORD coords="1390,2804,1626,2744,2800">Batalla</WORD>
<WORD coords="1674,2796,1750,2740,2795">de</WORD>
<WORD coords="1812,2812,2174,2726,2786">Ayacucho.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="926,2924,1152,2868,2920">Nunca</WORD>
<WORD coords="1184,2916,1316,2878,2914">sera</WORD>
<WORD coords="1346,2918,1618,2856,2908">bastante</WORD>
<WORD coords="1654,2922,1920,2840,2897">elojiado</WORD>
<WORD coords="1970,2890,2096,2846,2889">este</WORD>
<WORD coords="2130,2886,2368,2828,2882">célebre</WORD>
<WORD coords="2404,2894,2770,2822,2876">Cuzqueüp,</WORD>
<WORD coords="2804,2888,2912,2830,2867">por</WORD>
<WORD coords="2940,2868,3014,2828,2867">su</WORD>
</LINE>
<LINE>
<WORD coords="678,3046,956,2988,3044">.«fien*</WORD>
<WORD coords="1006,3032,1138,2974,3026">«lo</WORD>
<WORD coords="1172,3022,1246,2986,3022">en</WORD>
<WORD coords="1294,3038,1594,2974,3014">propagar</WORD>
<WORD coords="1640,3006,1694,2954,3006">Sa</WORD>
<WORD coords="1738,3002,2096,2938,2997">ilustración</WORD>
<WORD coords="2154,2988,2228,2952,2987">en</WORD>
<WORD coords="2288,2984,2360,2948,2983">su</WORD>
<WORD coords="2416,2998,2544,2926,2980">pais</WORD>
<WORD coords="2586,2992,2602,2946,2996">;</WORD>
<WORD coords="2636,2994,2778,2938,2976">pero</WORD>
<WORD coords="2810,2992,3002,2932,2970">quien</WORD>
</LINE>
<LINE>
<WORD coords="682,3162,816,3110,3150">n*s</WORD>
<WORD coords="862,3144,914,3092,3143">le</WORD>
<WORD coords="972,3140,1234,3082,3134">robaron</WORD>
<WORD coords="1292,3126,1364,3090,3125">su</WORD>
<WORD coords="1418,3120,1696,3060,3117">atención</WORD>
<WORD coords="1752,3110,1870,3052,3106">han</WORD>
<WORD coords="1926,3104,2064,3044,3101">.ido</WORD>
<WORD coords="2126,3094,2214,3040,3094">las</WORD>
<WORD coords="2282,3092,2714,3036,3084">Matemáticas</WORD>
<WORD coords="2822,3078,3024,3024,3074">Asís,</WORD>
</LINE>
<LINE>
<WORD coords="682,3256,764,3196,3252">tía</WORD>
<WORD coords="818,3250,892,3196,3249">de</WORD>
<WORD coords="938,3246,1224,3184,3240">continuo</WORD>
<WORD coords="1268,3232,1296,3178,3230">á</WORD>
<WORD coords="1356,3228,1440,3174,3226">las</WORD>
<WORD coords="1504,3224,1918,3158,3216">conferencias</WORD>
<WORD coords="1960,3226,1996,3172,3217">y</WORD>
<WORD coords="2058,3202,2406,3158,3196">ecsamenes</WORD>
<WORD coords="2442,3192,2516,3134,3190">de</WORD>
<WORD coords="2548,3190,2652,3150,3188">sus</WORD>
<WORD coords="2688,3186,3022,3126,3183">diferentes</WORD>
</LINE>
<LINE>
<WORD coords="688,3362,916,3320,3358">ramos-</WORD>
<WORD coords="954,3352,1196,3288,3347">Premió</WORD>
<WORD coords="1230,3338,1300,3302,3338">en</WORD>
<WORD coords="1362,3332,1644,3274,3328">distintas</WORD>
<WORD coords="1702,3320,2018,3262,3315">ocasiones</WORD>
<WORD coords="2066,3306,2122,3252,3305">al</WORD>
<WORD coords="2154,3302,2528,3240,3296">catedrático</WORD>
<WORD coords="2558,3306,2574,3280,3307">,</WORD>
<WORD coords="2600,3310,2948,3230,3286">agregando</WORD>
<WORD coords="3000,3300,3050,3246,3284">a.</WORD>
</LINE>
<LINE>
<WORD coords="726,3468,766,3324,3468">I</WORD>
<WORD coords="794,3466,1120,3398,3459">honorario</WORD>
<WORD coords="1144,3456,1262,3396,3451">ISO</WORD>
<WORD coords="1294,3460,1466,3402,3439">pesos</WORD>
<WORD coords="1504,3454,1608,3396,3432">por</WORD>
<WORD coords="1638,3430,1754,3378,3428">año</WORD>
<WORD coords="1790,3424,1802,3388,3424">:</WORD>
<WORD coords="1830,3440,2236,3352,3412">proporcionó</WORD>
<WORD coords="2278,3402,2464,3348,3399">libros</WORD>
<WORD coords="2498,3396,2748,3342,3392">clasicos</WORD>
<WORD coords="2784,3392,2860,3338,3391">de</WORD>
<WORD coords="2890,3388,3004,3332,3387">Ma</WORD>
</LINE>
<LINE>
<WORD coords="722,3572,794,3532,3571">en</WORD>
<WORD coords="820,3568,1004,3512,3565">áticas</WORD>
<WORD coords="1036,3562,1090,3508,3562">a.</WORD>
<WORD coords="1122,3572,1382,3494,3555">Colejio,</WORD>
<WORD coords="1412,3564,1448,3508,3563">y</WORD>
<WORD coords="1474,3562,1612,3484,3539">b.jo</WORD>
<WORD coords="1644,3536,1746,3500,3534">sus</WORD>
<WORD coords="1778,3542,2086,3464,3523">auspicios</WORD>
<WORD coords="2122,3514,2188,3476,3512">se</WORD>
<WORD coords="2220,3526,2392,3456,3505">logro</WORD>
</LINE>
<LINE>
<WORD coords="696,3678,788,3622,3676">los</WORD>
<WORD coords="824,3674,1072,3622,3668">iover.es</WORD>
<WORD coords="1100,3662,1152,3610,3662">la</WORD>
<WORD coords="1190,3660,1588,3594,3652">Aritmética,</WORD>
<WORD coords="1624,3658,1918,3582,3636">Algebra,</WORD>
<WORD coords="1948,3628,2340,3570,3620">Geometría,</WORD>
<WORD coords="2354,3624,2864,3550,3600">Trigonometría</WORD>
<WORD coords="2898,3592,3030,3554,3590">.ec-</WORD>
</LINE>
<LINE>
<WORD coords="754,3778,768,3726,3776">,</WORD>
<WORD coords="842,3774,872,3740,3774">e</WORD>
<WORD coords="1004,3770,1316,3710,3765">secciones</WORD>
<WORD coords="1358,3758,1602,3696,3752">cónicas</WORD>
<WORD coords="1636,3760,1652,3734,3760">,</WORD>
<WORD coords="1700,3760,2068,3678,3735">Aplicación</WORD>
<WORD coords="2120,3726,2194,3670,3724">de</WORD>
<WORD coords="2258,3720,2316,3662,3720">i,</WORD>
<WORD coords="2360,3728,2632,3652,3706">Algebra</WORD>
<WORD coords="2686,3700,2714,3666,3700">a</WORD>
<WORD coords="2768,3698,2824,3646,3698">la</WORD>
<WORD coords="2866,3698,3034,3640,3695">Geo-</WORD>
</LINE>
<LINE>
<WORD coords="696,3890,972,3736,3881">Lula,</WORD>
<WORD coords="1048,3890,1544,3802,3864">Trigonometría</WORD>
<WORD coords="1626,3856,1932,3788,3844">esférica,</WORD>
<WORD coords="2008,3850,2334,3770,3830">Geografía</WORD>
<WORD coords="2424,3820,2880,3768,3810">astronómica,</WORD>
<WORD coords="2960,3800,3028,3758,3794">»■</WORD>
</LINE>
<LINE>
<WORD coords="701,3990,826,3936,3989">sica</WORD>
<WORD coords="874,3990,915,3947,3990">V</WORD>
<WORD coords="971,3990,1214,3920,3972">política</WORD>
<WORD coords="1247,3988,1283,3935,3977">y</WORD>
<WORD coords="1314,3967,1368,3916,3966">la</WORD>
<WORD coords="1405,3966,1750,3909,3957">Mecánica.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="874,4006,916,3946,4006">7</WORD>
<WORD coords="952,4092,1034,3944,4092">L</WORD>
<WORD coords="1090,4104,1392,4016,4075">principió</WORD>
<WORD coords="1426,4072,1456,4016,4072">á</WORD>
<WORD coords="1500,4086,1714,4006,4065">influjo</WORD>
<WORD coords="1768,4058,1874,3998,4056">del</WORD>
<WORD coords="1912,4052,2136,3994,4049">mismo</WORD>
<WORD coords="2166,4040,2362,3982,4037">Señor</WORD>
<WORD coords="2414,4032,2616,3986,4029">nuevo</WORD>
<WORD coords="2680,4020,2864,3978,4018">curso</WORD>
<WORD coords="2890,4038,3066,3950,4015">Ma-_</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0008.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0009.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0009.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1246,512,1494,418,508">VIL</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="202,612,538,537,596">temático,</WORD>
<WORD coords="594,618,709,558,599">que</WORD>
<WORD coords="763,600,827,562,599">se</WORD>
<WORD coords="881,620,1176,536,599">concluyó</WORD>
<WORD coords="1235,601,1264,567,601">a</WORD>
<WORD coords="1324,626,1653,528,607">pírincipipa</WORD>
<WORD coords="1709,611,1805,551,610">del</WORD>
<WORD coords="1860,618,2204,557,616">Rectorado</WORD>
<WORD coords="2259,621,2355,565,621">del</WORD>
<WORD coords="2417,625,2477,569,625">D</WORD>
<WORD coords="2482,632,2501,614,632">#</WORD>
</LINE>
<LINE>
<WORD coords="209,701,293,643,699">D.</WORD>
<WORD coords="341,701,558,645,700">Garlos</WORD>
<WORD coords="624,725,942,648,702">Gallegos.</WORD>
<WORD coords="1042,724,1210,653,706">Aquí</WORD>
<WORD coords="1267,712,1518,658,707">arrancó</WORD>
<WORD coords="1567,712,1619,658,712">el</WORD>
<WORD coords="1670,715,1792,661,714">hilo</WORD>
<WORD coords="1844,719,1917,664,718">de</WORD>
<WORD coords="1965,723,2037,686,722">su</WORD>
<WORD coords="2092,728,2232,673,726">vida</WORD>
<WORD coords="2285,731,2336,680,730">el</WORD>
<WORD coords="2393,738,2525,685,736">cul-</WORD>
</LINE>
<LINE>
<WORD coords="211,805,340,750,804">tivo</WORD>
<WORD coords="393,809,467,750,808">de</WORD>
<WORD coords="515,808,597,744,807">las</WORD>
<WORD coords="656,827,954,755,808">ciencias,</WORD>
<WORD coords="1012,813,1262,758,810">delicias</WORD>
<WORD coords="1317,815,1397,760,815">de</WORD>
<WORD coords="1481,820,1753,760,817">Newton</WORD>
<WORD coords="1799,825,1813,790,825">:</WORD>
<WORD coords="1912,828,2032,771,826">Las</WORD>
<WORD coords="2098,851,2533,773,840">Matemáticas</WORD>
</LINE>
<LINE>
<WORD coords="211,915,274,876,913">se</WORD>
<WORD coords="313,931,762,859,912">proscribieron</WORD>
<WORD coords="828,915,1004,880,914">como</WORD>
<WORD coords="1061,919,1361,859,917">fermento</WORD>
<WORD coords="1421,939,1743,880,922">corruptor</WORD>
<WORD coords="1795,929,1869,874,928">de</WORD>
<WORD coords="1934,931,1989,877,931">la</WORD>
<WORD coords="2057,960,2320,876,938">Relijion</WORD>
<WORD coords="2353,964,2373,932,956">,</WORD>
<WORD coords="2441,948,2522,896,947">la-</WORD>
</LINE>
<LINE>
<WORD coords="212,1021,638,964,1018">mentándolas</WORD>
<WORD coords="707,1019,757,965,1018">al</WORD>
<WORD coords="816,1021,1076,967,1019">rededor</WORD>
<WORD coords="1131,1023,1206,968,1022">de</WORD>
<WORD coords="1266,1025,1335,988,1024">su</WORD>
<WORD coords="1385,1028,1592,972,1026">tumba</WORD>
<WORD coords="1652,1030,1740,976,1029">los</WORD>
<WORD coords="1807,1035,2011,979,1033">recien</WORD>
<WORD coords="2078,1049,2375,985,1042">iniciados</WORD>
<WORD coords="2448,1056,2525,1019,1055">en</WORD>
</LINE>
<LINE>
<WORD coords="219,1123,323,1086,1122">sus</WORD>
<WORD coords="381,1125,688,1079,1123">teoremas</WORD>
<WORD coords="719,1132,733,1094,1134">;</WORD>
<WORD coords="782,1125,857,1071,1125">Se</WORD>
<WORD coords="908,1146,1154,1072,1127">leyeron</WORD>
<WORD coords="1215,1131,1287,1096,1130">en</WORD>
<WORD coords="1339,1132,1393,1077,1131">el</WORD>
<WORD coords="1475,1137,1797,1079,1134">Periódico</WORD>
<WORD coords="1860,1146,2181,1086,1142">Artículos</WORD>
<WORD coords="2244,1158,2519,1103,1154">comuni.</WORD>
</LINE>
<LINE>
<WORD coords="220,1226,409,1171,1225">cados</WORD>
<WORD coords="461,1229,669,1186,1227">contra</WORD>
<WORD coords="744,1230,903,1188,1229">estas</WORD>
<WORD coords="984,1252,1292,1180,1232">ciencias,</WORD>
<WORD coords="1348,1255,1832,1181,1238">apellidándolas</WORD>
<WORD coords="1899,1251,2222,1191,1246">Semillero</WORD>
<WORD coords="2249,1257,2324,1202,1256">de</WORD>
<WORD coords="2382,1268,2525,1209,1266">Ma.</WORD>
</LINE>
<LINE>
<WORD coords="215,1331,393,1295,1330">sones</WORD>
<WORD coords="427,1333,442,1301,1339">:</WORD>
<WORD coords="504,1335,810,1278,1333">Entonces</WORD>
<WORD coords="862,1336,921,1302,1335">se</WORD>
<WORD coords="983,1358,1405,1283,1338">improperaba</WORD>
<WORD coords="1449,1343,1521,1309,1343">en</WORD>
<WORD coords="1568,1345,1623,1293,1344">el</WORD>
<WORD coords="1685,1372,1926,1293,1348">Colejio</WORD>
<WORD coords="1989,1350,2017,1315,1350">a</WORD>
<WORD coords="2082,1352,2170,1298,1351">los</WORD>
<WORD coords="2226,1382,2525,1300,1362">Discipa*</WORD>
</LINE>
<LINE>
<WORD coords="212,1435,305,1380,1433">los</WORD>
<WORD coords="360,1436,434,1381,1435">de</WORD>
<WORD coords="494,1438,782,1383,1436">Euclides</WORD>
<WORD coords="830,1460,871,1405,1457">y</WORD>
<WORD coords="931,1444,1217,1387,1441">üh.fantj</WORD>
<WORD coords="1255,1459,1270,1434,1456">,</WORD>
<WORD coords="1297,1452,1776,1393,1448">nombrándolos</WORD>
<WORD coords="1839,1473,1946,1420,1454">por</WORD>
<WORD coords="2004,1462,2201,1402,1459">faonia</WORD>
<WORD coords="2226,1477,2523,1407,1469">Matemá»</WORD>
</LINE>
<LINE>
<WORD coords="219,1538,367,1495,1536">ticos</WORD>
<WORD coords="403,1542,416,1507,1547">:</WORD>
<WORD coords="477,1556,713,1487,1538">parecía</WORD>
<WORD coords="783,1544,1082,1488,1543">hallarnos</WORD>
<WORD coords="1152,1546,1220,1512,1546">en</WORD>
<WORD coords="1273,1568,1545,1498,1550">aquellos</WORD>
<WORD coords="1605,1576,1792,1500,1553">siglos</WORD>
<WORD coords="1854,1562,2138,1505,1560">barbaros</WORD>
<WORD coords="2175,1582,2190,1555,1582">,</WORD>
<WORD coords="2273,1585,2520,1529,1579">cuando</WORD>
</LINE>
<LINE>
<WORD coords="203,1657,583,1586,1640">apedreaban</WORD>
<WORD coords="634,1643,659,1609,1643">a</WORD>
<WORD coords="720,1644,773,1591,1644">la</WORD>
<WORD coords="839,1649,1130,1592,1646">Doncella</WORD>
<WORD coords="1180,1671,1441,1597,1652">Hipacia</WORD>
<WORD coords="1472,1672,1489,1645,1672">,</WORD>
<WORD coords="1555,1676,1952,1608,1660">reputándola</WORD>
<WORD coords="2017,1690,2206,1611,1666">Bruja</WORD>
<WORD coords="2252,1693,2361,1640,1678">por</WORD>
<WORD coords="2412,1692,2518,1653,1689">sus</WORD>
</LINE>
<LINE>
<WORD coords="200,1747,677,1690,1744">conocimientos</WORD>
<WORD coords="725,1772,1061,1695,1750">algébricos</WORD>
<WORD coords="1092,1768,1107,1743,1766">,</WORD>
<WORD coords="1154,1755,1190,1702,1759">ó</WORD>
<WORD coords="1246,1759,1441,1705,1758">cuado</WORD>
<WORD coords="1488,1768,1918,1705,1763">encarcelaban</WORD>
<WORD coords="1972,1790,2016,1733,1790">y</WORD>
<WORD coords="2080,1796,2508,1730,1783">martirizaban</WORD>
</LINE>
<LINE>
<WORD coords="199,1848,257,1792,1847">al</WORD>
<WORD coords="336,1850,532,1793,1848">Padre</WORD>
<WORD coords="593,1875,867,1797,1853">Rógerio</WORD>
<WORD coords="927,1858,1130,1801,1856">Bacon</WORD>
<WORD coords="1195,1863,1370,1824,1860">como</WORD>
<WORD coords="1420,1864,1449,1810,1865">á</WORD>
<WORD coords="1508,1866,1586,1830,1865">un</WORD>
<WORD coords="1669,1873,1994,1813,1869">hechicero</WORD>
<WORD coords="2050,1880,2182,1823,1877">solo</WORD>
<WORD coords="2255,1904,2288,1853,1904">p</WORD>
<WORD coords="2297,1891,2363,1857,1890">cr</WORD>
<WORD coords="2442,1887,2462,1865,1887">c</WORD>
<WORD coords="2476,1903,2514,1865,1903">U</WORD>
</LINE>
<LINE>
<WORD coords="203,1952,434,1896,1950">ciencia</WORD>
<WORD coords="494,1963,1107,1899,1958">fisico-mstematica.</WORD>
<WORD coords="1201,1966,1388,1910,1964">Sobre</WORD>
<WORD coords="1437,1968,1524,1914,1966">las</WORD>
<WORD coords="1584,1971,1790,1916,1969">ruinas</WORD>
<WORD coords="1833,1973,1908,1920,1973">de</WORD>
<WORD coords="1948,1977,2035,1922,1975">las</WORD>
<WORD coords="2079,2004,2517,1927,1993">Matemáticas</WORD>
</LINE>
<LINE>
<WORD coords="202,2053,267,2016,2052">se</WORD>
<WORD coords="321,2060,746,2009,2056">entronizaron</WORD>
<WORD coords="802,2061,873,2011,2061">de</WORD>
<WORD coords="929,2063,1124,2028,2062">nuevo</WORD>
<WORD coords="1174,2065,1226,2013,2065">el</WORD>
<WORD coords="1275,2071,1558,2012,2068">Barbara</WORD>
<WORD coords="1608,2074,1780,2018,2073">Celar</WORD>
<WORD coords="1787,2076,1873,2039,2076">em</WORD>
<WORD coords="1928,2098,1967,2043,2091">y</WORD>
<WORD coords="2029,2084,2113,2026,2081">las</WORD>
<WORD coords="2154,2108,2514,2037,2099">Categorías</WORD>
</LINE>
<LINE>
<WORD coords="199,2162,269,2117,2161">ée</WORD>
<WORD coords="309,2172,678,2107,2164">Aristóteles</WORD>
<WORD coords="710,2174,733,2134,2174">i</WORD>
<WORD coords="783,2167,837,2116,2167">el</WORD>
<WORD coords="865,2168,947,2116,2167">Er</WORD>
<WORD coords="947,2190,1209,2118,2170">-gotismo</WORD>
<WORD coords="1270,2178,1477,2124,2176">volvió</WORD>
<WORD coords="1510,2180,1540,2143,2180">a</WORD>
<WORD coords="1588,2184,1779,2140,2182">meter</WORD>
<WORD coords="1836,2189,1906,2153,2187">su</WORD>
<WORD coords="1958,2195,2137,2134,2191">ruido</WORD>
<WORD coords="2184,2200,2221,2164,2200">v</WORD>
<WORD coords="2252,2200,2517,2154,2200">oni^-ir</WORD>
</LINE>
<LINE>
<WORD coords="198,2264,288,2214,2263">los</WORD>
<WORD coords="351,2268,628,2214,2265">Escaños</WORD>
<WORD coords="678,2270,788,2235,2268">con</WORD>
<WORD coords="867,2273,966,2238,2271">sus</WORD>
<WORD coords="1047,2283,1514,2220,2278">desmesurados</WORD>
<WORD coords="1591,2306,1821,2233,2287">golpes.</WORD>
<WORD coords="1922,2318,2191,2242,2298">Empero</WORD>
<WORD coords="2225,2322,2240,2295,2322">,</WORD>
<WORD coords="2300,2329,2516,2275,2315">pronto</WORD>
</LINE>
<LINE>
<WORD coords="199,2370,339,2317,2368">cesó</WORD>
<WORD coords="387,2372,511,2331,2371">esta</WORD>
<WORD coords="553,2393,941,2323,2375">tempestad,</WORD>
<WORD coords="997,2380,1106,2344,2379">con</WORD>
<WORD coords="1169,2382,1219,2330,2382">el</WORD>
<WORD coords="1286,2388,1484,2331,2385">arribo</WORD>
<WORD coords="1530,2392,1630,2335,2390">del</WORD>
<WORD coords="1694,2399,1889,2339,2398">Señor</WORD>
<WORD coords="1910,2332,1920,2318,2394">&apos;</WORD>
<WORD coords="1947,2418,2302,2349,2409">Presidente</WORD>
<WORD coords="2353,2417,2378,2370,2417">á</WORD>
<WORD coords="2416,2421,2509,2388,2420">es-</WORD>
</LINE>
<LINE>
<WORD coords="197,2474,257,2429,2474">ta</WORD>
<WORD coords="306,2493,521,2423,2477">capital</WORD>
<WORD coords="556,2494,571,2470,2496">,</WORD>
<WORD coords="613,2485,978,2426,2483">ocasionado</WORD>
<WORD coords="1041,2504,1147,2452,2486">por</WORD>
<WORD coords="1209,2490,1326,2453,2490">una</WORD>
<WORD coords="1380,2498,1641,2438,2495">efímera</WORD>
<WORD coords="1710,2511,2062,2452,2505">revolución</WORD>
<WORD coords="2124,2531,2239,2481,2516">que</WORD>
<WORD coords="2291,2526,2509,2468,2520">estalló</WORD>
</LINE>
<LINE>
<WORD coords="195,2583,269,2546,2582">en</WORD>
<WORD coords="322,2585,455,2532,2584">ella.</WORD>
<WORD coords="571,2589,754,2532,2588">Tubo</WORD>
<WORD coords="804,2610,951,2554,2588">muy</WORD>
<WORD coords="1004,2590,1029,2540,2596">á</WORD>
<WORD coords="1076,2593,1194,2539,2592">mal</WORD>
<WORD coords="1245,2597,1305,2541,2596">S.</WORD>
<WORD coords="1364,2600,1436,2544,2600">E.</WORD>
<WORD coords="1503,2602,1557,2547,2601">la</WORD>
<WORD coords="1610,2612,1908,2556,2608">estación</WORD>
<WORD coords="1957,2615,2031,2562,2614">de</WORD>
<WORD coords="2077,2617,2131,2565,2617">la</WORD>
<WORD coords="2187,2622,2314,2587,2621">mas</WORD>
<WORD coords="2390,2630,2511,2573,2628">im-</WORD>
</LINE>
<LINE>
<WORD coords="194,2708,470,2645,2688">portante</WORD>
<WORD coords="535,2708,845,2637,2693">Cátedra,</WORD>
<WORD coords="898,2714,936,2660,2712">y</WORD>
<WORD coords="980,2701,1215,2643,2697">ordenó</WORD>
<WORD coords="1271,2706,1334,2668,2704">se</WORD>
<WORD coords="1378,2710,1671,2669,2707">renovase</WORD>
<WORD coords="1716,2713,1772,2659,2712">al</WORD>
<WORD coords="1832,2722,2139,2679,2719">momento</WORD>
<WORD coords="2172,2739,2190,2713,2734">,</WORD>
<WORD coords="2220,2729,2395,2691,2727">como</WORD>
<WORD coords="2430,2732,2508,2678,2732">de</WORD>
</LINE>
<LINE>
<WORD coords="188,2796,356,2737,2794">facto</WORD>
<WORD coords="411,2797,475,2761,2796">se</WORD>
<WORD coords="538,2819,802,2747,2799">cumplió</WORD>
<WORD coords="859,2800,965,2766,2800">con</WORD>
<WORD coords="1008,2819,1256,2751,2804">aplauso</WORD>
<WORD coords="1320,2812,1399,2754,2811">de</WORD>
<WORD coords="1463,2815,1552,2758,2814">los</WORD>
<WORD coords="1616,2823,1987,2763,2819">verdaderos</WORD>
<WORD coords="2034,2833,2259,2775,2828">sabios.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="434,2904,551,2851,2903">Asi</WORD>
<WORD coords="605,2905,668,2870,2904">es</WORD>
<WORD coords="716,2906,888,2871,2905">como</WORD>
<WORD coords="945,2908,973,2859,2916">á</WORD>
<WORD coords="1036,2917,1335,2858,2913">beneficio</WORD>
<WORD coords="1390,2919,1488,2863,2918">del</WORD>
<WORD coords="1549,2924,1743,2865,2923">Señor</WORD>
<WORD coords="1816,2935,2178,2873,2930">Presidente</WORD>
<WORD coords="2237,2944,2499,2882,2940">Gamar-</WORD>
</LINE>
<LINE>
<WORD coords="179,3006,245,2966,3005">ra</WORD>
<WORD coords="287,3008,401,2971,3007">van</WORD>
<WORD coords="467,3014,837,2954,3010">floreciendo</WORD>
<WORD coords="889,3015,973,2958,3013">las</WORD>
<WORD coords="1048,3023,1304,2964,3019">ciencias</WORD>
<WORD coords="1337,2967,1338,2965,2996">&apos;</WORD>
<WORD coords="1365,3026,1437,2990,3025">en</WORD>
<WORD coords="1484,3028,1537,2973,3027">el</WORD>
<WORD coords="1589,3034,1819,2975,3031">Cuzco.</WORD>
<WORD coords="1913,3035,1970,2979,3035">G</WORD>
<WORD coords="1998,3044,2230,3001,3041">amarra</WORD>
<WORD coords="2282,3045,2353,3011,3044">en</WORD>
<WORD coords="2409,3052,2501,2996,3049">los</WORD>
</LINE>
<LINE>
<WORD coords="179,3112,416,3056,3110">Anales</WORD>
<WORD coords="476,3121,771,3060,3114">literarios</WORD>
<WORD coords="830,3120,925,3067,3119">del</WORD>
<WORD coords="998,3142,1475,3069,3127">Departamento</WORD>
<WORD coords="1541,3137,1673,3098,3133">sera</WORD>
<WORD coords="1726,3140,2017,3083,3137">colocado</WORD>
<WORD coords="2095,3145,2165,3110,3144">en</WORD>
<WORD coords="2232,3167,2499,3097,3150">paralelo</WORD>
</LINE>
<LINE>
<WORD coords="181,3215,295,3179,3214">con</WORD>
<WORD coords="364,3238,704,3161,3218">Mecenas,</WORD>
<WORD coords="756,3228,926,3170,3226">León</WORD>
<WORD coords="981,3244,1092,3181,3234">10,</WORD>
<WORD coords="1151,3235,1309,3179,3234">Luiz</WORD>
<WORD coords="1363,3253,1485,3187,3241">14,</WORD>
<WORD coords="1544,3241,1770,3186,3239">Cosme</WORD>
<WORD coords="1830,3244,1903,3191,3243">de</WORD>
<WORD coords="1970,3252,2242,3193,3250">Mediéis</WORD>
<WORD coords="2301,3275,2340,3221,3267">y</WORD>
<WORD coords="2384,3259,2492,3203,3257">de-</WORD>
</LINE>
<LINE>
<WORD coords="174,3322,306,3282,3320">mas</WORD>
<WORD coords="364,3341,736,3284,3325">protectores</WORD>
<WORD coords="789,3332,862,3277,3331">de</WORD>
<WORD coords="920,3334,1002,3281,3333">las</WORD>
<WORD coords="1061,3340,1264,3285,3337">letras.</WORD>
<WORD coords="1358,3342,1431,3287,3340">El</WORD>
<WORD coords="1491,3343,1709,3288,3342">mismo</WORD>
<WORD coords="1766,3368,2029,3293,3349">ejemplo</WORD>
<WORD coords="2081,3359,2156,3303,3357">de</WORD>
<WORD coords="2217,3362,2288,3327,3361">su</WORD>
<WORD coords="2340,3366,2489,3311,3364">i&apos;us-</WORD>
</LINE>
<LINE>
<WORD coords="171,3426,263,3378,3424">tre</WORD>
<WORD coords="320,3430,558,3377,3428">cuñado</WORD>
<WORD coords="638,3456,810,3379,3433">sigue</WORD>
<WORD coords="885,3439,937,3386,3438">el</WORD>
<WORD coords="992,3443,1184,3386,3441">Señor</WORD>
<WORD coords="1237,3447,1504,3392,3446">Coronel</WORD>
<WORD coords="1557,3449,1633,3393,3448">D.</WORD>
<WORD coords="1683,3467,1839,3395,3455">Juan</WORD>
<WORD coords="1903,3465,2180,3400,3461">Bautista</WORD>
<WORD coords="2243,3469,2295,3410,3469">Z</WORD>
<WORD coords="2333,3473,2492,3417,3470">ibia-</WORD>
</LINE>
<LINE>
<WORD coords="171,3548,246,3491,3527">ga</WORD>
<WORD coords="275,3543,292,3519,3547">,</WORD>
<WORD coords="361,3551,665,3482,3535">poniendo</WORD>
<WORD coords="717,3541,862,3488,3540">todo</WORD>
<WORD coords="920,3563,1181,3497,3545">empeño</WORD>
<WORD coords="1228,3550,1301,3515,3549">en</WORD>
<WORD coords="1360,3569,1475,3517,3553">que</WORD>
<WORD coords="1544,3555,1705,3511,3554">estos</WORD>
<WORD coords="1761,3563,2096,3505,3559">elementos</WORD>
<WORD coords="2165,3570,2226,3536,3568">te</WORD>
<WORD coords="2290,3592,2408,3521,3574">pub</WORD>
<WORD coords="2440,3577,2488,3523,3577">i.</WORD>
</LINE>
<LINE>
<WORD coords="171,3650,329,3597,3633">quen</WORD>
<WORD coords="364,3652,380,3625,3654">,</WORD>
<WORD coords="435,3655,575,3603,3640">para</WORD>
<WORD coords="620,3648,990,3591,3645">comodidad</WORD>
<WORD coords="1048,3652,1079,3596,3654">é</WORD>
<WORD coords="1134,3657,1503,3597,3653">instrucción</WORD>
<WORD coords="1557,3660,1631,3605,3659">de</WORD>
<WORD coords="1691,3661,1778,3607,3660">los</WORD>
<WORD coords="1848,3673,2233,3610,3666">Estudiosos.</WORD>
<WORD coords="2332,3699,2480,3626,3682">Oja-</WORD>
</LINE>
<LINE>
<WORD coords="165,3736,224,3678,3735">la</WORD>
<WORD coords="270,3742,451,3686,3740">todos</WORD>
<WORD coords="512,3744,574,3710,3743">se</WORD>
<WORD coords="640,3749,846,3693,3746">vieran</WORD>
<WORD coords="896,3763,1211,3697,3757">animados</WORD>
<WORD coords="1270,3759,1345,3705,3758">de</WORD>
<WORD coords="1395,3761,1496,3718,3760">tan</WORD>
<WORD coords="1545,3766,1756,3709,3763">nobles</WORD>
<WORD coords="1833,3778,2255,3717,3771">sentimientos</WORD>
<WORD coords="2290,3797,2305,3771,3797">,</WORD>
<WORD coords="2361,3803,2480,3752,3791">q¡¿Q</WORD>
</LINE>
<LINE>
<WORD coords="164,3841,238,3806,3841">en</WORD>
<WORD coords="288,3860,502,3804,3843">pronto</WORD>
<WORD coords="554,3854,800,3812,3851">nuestro</WORD>
<WORD coords="840,3858,1051,3804,3857">Cuzco</WORD>
<WORD coords="1109,3863,1263,3808,3861">seria</WORD>
<WORD coords="1320,3865,1453,3822,3863">otra</WORD>
<WORD coords="1510,3869,1744,3816,3867">Atenas</WORD>
<WORD coords="1782,3882,1797,3839,3882">;</WORD>
<WORD coords="1848,3889,1994,3837,3873">pues</WORD>
<WORD coords="2067,3878,2152,3823,3877">las</WORD>
<WORD coords="2212,3893,2473,3828,3888">ciencias</WORD>
</LINE>
<LINE>
<WORD coords="153,3964,303,3905,3949">para</WORD>
<WORD coords="350,3973,674,3914,3954">progresar</WORD>
<WORD coords="717,3962,793,3924,3961">no</WORD>
<WORD coords="849,3969,1161,3910,3965">necesitan</WORD>
<WORD coords="1221,3972,1363,3932,3971">mas-</WORD>
<WORD coords="1434,3992,1555,3935,3975">que</WORD>
<WORD coords="1615,3975,1670,3917,3975">la</WORD>
<WORD coords="1731,3995,2103,3926,3979">protección.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0009.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0010.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0010.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0010.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0011.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0011.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="296,640,2340,424,632">ELEMENTOS</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1252,802,1392,736,801">DE</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="790,988,1842,888,981">MATEMATICAS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="580,1212,2042,1062,1204">ARITMETICA.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="779,1365,798,1349,1363">--</WORD>
<WORD coords="1030,1375,1591,1323,1368">o®®®®®®®®®®®&lt;&gt;</WORD>
<WORD coords="1603,1352,1656,1342,1352">—</WORD>
<WORD coords="1656,1353,1661,1342,1364">■</WORD>
<WORD coords="1672,1350,1675,1342,1350">■</WORD>
<WORD coords="1688,1350,1694,1339,1350">1</WORD>
<WORD coords="1810,1353,1827,1337,1353">*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="710,1582,1922,1482,1574">INTRODUCCION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="314,1710,372,1657,1708">1.</WORD>
<WORD coords="432,1707,878,1647,1700">Matemáticas</WORD>
<WORD coords="935,1696,1045,1659,1694">son</WORD>
<WORD coords="1117,1694,1205,1647,1693">las</WORD>
<WORD coords="1258,1693,1517,1655,1691">ciencias</WORD>
<WORD coords="1573,1714,1685,1654,1690">que</WORD>
<WORD coords="1743,1689,1951,1644,1688">tratan</WORD>
<WORD coords="2008,1687,2079,1630,1686">de</WORD>
<WORD coords="2135,1706,2469,1634,1685">averiguar</WORD>
</LINE>
<LINE>
<WORD coords="149,1820,240,1763,1819">fas</WORD>
<WORD coords="299,1816,623,1757,1811">relaciones</WORD>
<WORD coords="676,1826,716,1769,1826">y</WORD>
<WORD coords="771,1826,1169,1745,1801">propiedades</WORD>
<WORD coords="1212,1799,1286,1744,1798">de</WORD>
<WORD coords="1338,1800,1395,1744,1799">la</WORD>
<WORD coords="1442,1798,1747,1739,1796">cantidad.</WORD>
<WORD coords="1842,1795,2148,1734,1792">Cantidad</WORD>
<WORD coords="2201,1790,2260,1751,1789">es</WORD>
<WORD coords="2332,1791,2467,1735,1789">tod$</WORD>
</LINE>
<LINE>
<WORD coords="146,1938,373,1863,1919">aquello</WORD>
<WORD coords="417,1941,528,1879,1914">que</WORD>
<WORD coords="577,1934,770,1856,1910">puede</WORD>
<WORD coords="825,1908,925,1871,1906">ser</WORD>
<WORD coords="983,1925,1192,1867,1906">mayor</WORD>
<WORD coords="1227,1906,1260,1847,1905">ó</WORD>
<WORD coords="1301,1904,1511,1866,1903">menor</WORD>
<WORD coords="1539,1908,1562,1867,1906">;</WORD>
<WORD coords="1595,1902,1631,1846,1903">ó</WORD>
<WORD coords="1685,1903,1816,1845,1902">todo</WORD>
<WORD coords="1865,1900,1917,1841,1900">lo</WORD>
<WORD coords="1962,1922,2073,1860,1897">que</WORD>
<WORD coords="2117,1900,2178,1859,1899">es</WORD>
<WORD coords="2229,1916,2470,1849,1894">suscep-</WORD>
</LINE>
<LINE>
<WORD coords="146,2027,288,1969,2025">tible</WORD>
<WORD coords="337,2024,408,1968,2023">de</WORD>
<WORD coords="464,2021,735,1974,2018">aumento</WORD>
<WORD coords="786,2015,823,1960,2014">ó</WORD>
<WORD coords="876,2014,1245,1955,2010">diminución</WORD>
<WORD coords="1276,2014,1299,1974,2012">;</WORD>
<WORD coords="1341,2007,1432,1951,2007">asi</WORD>
<WORD coords="1494,2008,1558,1971,2007">es</WORD>
<WORD coords="1590,2008,1711,1968,2005">una</WORD>
<WORD coords="1750,2024,1969,1947,2003">piedra</WORD>
<WORD coords="1988,2008,2005,1986,2010">,</WORD>
<WORD coords="2067,2003,2151,1965,2002">un</WORD>
<WORD coords="2214,2002,2467,1951,2000">montea</WORD>
</LINE>
<LINE>
<WORD coords="140,2132,222,2075,2131">de</WORD>
<WORD coords="265,2147,427,2073,2126">trigo</WORD>
<WORD coords="461,2127,477,2112,2127">ft</WORD>
<WORD coords="502,2128,620,2068,2124">&amp;c.</WORD>
<WORD coords="670,2122,870,2065,2119">Como</WORD>
<WORD coords="904,2116,963,2065,2116">ia</WORD>
<WORD coords="1018,2115,1308,2057,2113">cantidad</WORD>
<WORD coords="1354,2113,1487,2058,2112">solo</WORD>
<WORD coords="1541,2111,1606,2076,2111">es</WORD>
<WORD coords="1670,2127,2037,2051,2108">susceptible</WORD>
<WORD coords="2083,2108,2160,2049,2106">de</WORD>
<WORD coords="2217,2106,2468,2067,2104">aumen-</WORD>
</LINE>
<LINE>
<WORD coords="137,2238,207,2193,2238">to</WORD>
<WORD coords="266,2236,302,2180,2234">ó</WORD>
<WORD coords="351,2232,739,2170,2228">diminución</WORD>
<WORD coords="772,2241,790,2212,2232">,</WORD>
<WORD coords="841,2224,906,2187,2223">se</WORD>
<WORD coords="962,2242,1137,2166,2220">sigue</WORD>
<WORD coords="1185,2240,1303,2183,2219">que</WORD>
<WORD coords="1374,2219,1461,2163,2218">las</WORD>
<WORD coords="1532,2218,1970,2159,2215">Matemáticas</WORD>
<WORD coords="2039,2212,2172,2156,2211">solo</WORD>
<WORD coords="2228,2227,2467,2152,2208">podran</WORD>
</LINE>
<LINE>
<WORD coords="129,2342,245,2286,2341">dar</WORD>
<WORD coords="294,2339,535,2278,2336">medios</WORD>
<WORD coords="598,2353,744,2294,2332">para</WORD>
<WORD coords="797,2354,1086,2282,2328">espresar</WORD>
<WORD coords="1126,2346,1145,2314,2346">,</WORD>
<WORD coords="1192,2349,1519,2280,2325">¡componer</WORD>
<WORD coords="1575,2346,1617,2286,2344">y</WORD>
<WORD coords="1696,2343,2119,2266,2321">descomponer</WORD>
<WORD coords="2170,2317,2259,2261,2316">las</WORD>
<WORD coords="2325,2316,2465,2277,2315">can-</WORD>
</LINE>
<LINE>
<WORD coords="138,2451,186,2394,2450">ti</WORD>
<WORD coords="196,2450,268,2393,2449">da</WORD>
<WORD coords="278,2448,409,2391,2447">des.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="295,2553,357,2504,2551">2.</WORD>
<WORD coords="405,2550,530,2494,2550">Las</WORD>
<WORD coords="589,2548,1025,2486,2545">Matemáticas</WORD>
<WORD coords="1071,2543,1133,2506,2542">se</WORD>
<WORD coords="1178,2542,1434,2484,2541">dividen</WORD>
<WORD coords="1487,2541,1561,2501,2539">en</WORD>
<WORD coords="1608,2559,1802,2492,2536">puras</WORD>
<WORD coords="1842,2555,1882,2498,2547">y</WORD>
<WORD coords="1929,2534,2138,2479,2532">mistas</WORD>
<WORD coords="2163,2548,2179,2500,2543">;</WORD>
<WORD coords="2253,2534,2320,2496,2533">se</WORD>
<WORD coords="2351,2530,2411,2474,2528">di</WORD>
<WORD coords="2435,2525,2463,2504,0">«</WORD>
</LINE>
<LINE>
<WORD coords="133,2660,248,2621,2659">cen</WORD>
<WORD coords="289,2659,489,2603,2656">Fura*</WORD>
<WORD coords="526,2668,648,2598,2658">Jas</WORD>
<WORD coords="690,2677,802,2614,2652">que</WORD>
<WORD coords="857,2651,1068,2605,2650">tratan</WORD>
<WORD coords="1118,2650,1189,2594,2649">de</WORD>
<WORD coords="1239,2648,1296,2593,2648">la</WORD>
<WORD coords="1353,2647,1648,2590,2645">cantidad</WORD>
<WORD coords="1673,2644,1778,2605,2644">con</WORD>
<WORD coords="1831,2642,1889,2588,2642">la</WORD>
<WORD coords="1938,2659,2154,2602,2639">mayor</WORD>
<WORD coords="2185,2638,2462,2582,2635">abstrac-</WORD>
</LINE>
<LINE>
<WORD coords="139,2766,271,2708,2764">ción</WORD>
<WORD coords="293,2777,466,2718,2761">¡esta</WORD>
<WORD coords="524,2767,626,2725,2760">es,</WORD>
<WORD coords="683,2759,776,2706,2758">sin</WORD>
<WORD coords="831,2758,1100,2700,2756">relación</WORD>
<WORD coords="1151,2754,1176,2702,2753">á</WORD>
<WORD coords="1232,2753,1318,2699,2752">las</WORD>
<WORD coords="1366,2771,1777,2693,2749">propiedades</WORD>
<WORD coords="1816,2748,2115,2691,2746">sensibles</WORD>
<WORD coords="2158,2767,2199,2710,2759">y</WORD>
<WORD coords="2255,2743,2461,2686,2741">fricas</WORD>
</LINE>
<LINE>
<WORD coords="131,2892,179,2833,2880">y</WORD>
<WORD coords="212,2869,342,2813,2867">solo</WORD>
<WORD coords="398,2867,472,2830,2866">en</WORD>
<WORD coords="532,2865,753,2820,2863">cuanto</WORD>
<WORD coords="807,2863,874,2827,2863">es</WORD>
<WORD coords="921,2881,1112,2824,2861">capaz</WORD>
<WORD coords="1164,2860,1245,2804,2859">de</WORD>
<WORD coords="1283,2859,1576,2811,2856">aumento</WORD>
<WORD coords="1628,2855,1673,2798,2856">é</WORD>
<WORD coords="1726,2856,2136,2795,2851">díminucicn.</WORD>
<WORD coords="2226,2885,2462,2794,2855">SeJIa-</WORD>
</LINE>
<LINE>
<WORD coords="134,2976,275,2938,2974">man</WORD>
<WORD coords="331,2972,753,2914,2969">Matemáticas</WORD>
<WORD coords="810,2970,1027,2915,2967">mistas</WORD>
<WORD coords="1077,2966,1170,2909,2965">las</WORD>
<WORD coords="1222,2987,1335,2926,2962">que</WORD>
<WORD coords="1378,2962,1733,2905,2959">consideran</WORD>
<WORD coords="1792,2958,1846,2902,2957">la</WORD>
<WORD coords="1899,2957,2190,2898,2954">cantidad</WORD>
<WORD coords="2256,2973,2458,2914,2952">r#v$j-</WORD>
</LINE>
<LINE>
<WORD coords="137,3080,265,3025,3079">tida</WORD>
<WORD coords="318,3078,388,3024,3077">de</WORD>
<WORD coords="444,3096,673,3022,3072">alguna</WORD>
<WORD coords="716,3096,1060,3015,3072">propiedad</WORD>
<WORD coords="1105,3070,1358,3011,3068">sensible</WORD>
<WORD coords="1377,3086,1407,3034,3083">;</WORD>
<WORD coords="1451,3083,1556,3029,3065">por</WORD>
<WORD coords="1611,3085,1926,3008,3062">ejemplo,</WORD>
<WORD coords="1978,3059,2085,3024,3058">son</WORD>
<WORD coords="2146,3057,2458,3002,3055">Materna,</WORD>
</LINE>
<LINE>
<WORD coords="135,3184,291,3129,3182">ticas</WORD>
<WORD coords="348,3184,560,3127,3182">mistas</WORD>
<WORD coords="614,3181,669,3127,3180">la</WORD>
<WORD coords="723,3181,1001,3124,3178">Estática</WORD>
<WORD coords="1034,3188,1051,3166,3188">,</WORD>
<WORD coords="1078,3195,1199,3138,3178">que</WORD>
<WORD coords="1251,3174,1405,3133,3173">trata</WORD>
<WORD coords="1443,3171,1541,3117,3170">del</WORD>
<WORD coords="1584,3187,1911,3110,3167">equilibrio</WORD>
<WORD coords="1943,3165,2018,3109,3164">de</WORD>
<WORD coords="2078,3162,2169,3108,3161">los</WORD>
<WORD coords="2199,3164,2454,3104,3160">solidos:</WORD>
</LINE>
<LINE>
<WORD coords="134,3291,194,3233,3289">la</WORD>
<WORD coords="268,3290,599,3234,3288">Dinámica</WORD>
<WORD coords="643,3306,763,3251,3286">que</WORD>
<WORD coords="841,3286,1172,3228,3282">considera</WORD>
<WORD coords="1217,3282,1296,3244,3281">su</WORD>
<WORD coords="1352,3281,1807,3219,3276">movimiento:</WORD>
<WORD coords="1865,3273,1921,3216,3272">la</WORD>
<WORD coords="2005,3283,2459,3212,3267">Hidrostatica,</WORD>
</LINE>
<LINE>
<WORD coords="139,3416,257,3357,3394">que</WORD>
<WORD coords="313,3394,468,3350,3392">trata</WORD>
<WORD coords="513,3393,613,3336,3392">del</WORD>
<WORD coords="664,3410,995,3333,3389">equilibrio</WORD>
<WORD coords="1054,3388,1131,3333,3387">de</WORD>
<WORD coords="1180,3387,1270,3331,3386">los</WORD>
<WORD coords="1326,3385,1500,3328,3383">fluid&lt;</WORD>
<WORD coords="1525,3384,1551,3345,3384">s</WORD>
<WORD coords="1585,3385,1600,3349,3386">:</WORD>
<WORD coords="1653,3380,1766,3323,3378">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="299,3500,354,3451,3499">3.</WORD>
<WORD coords="400,3499,495,3443,3498">La</WORD>
<WORD coords="554,3499,843,3442,3497">cantidad</WORD>
<WORD coords="882,3495,958,3458,3494">en</WORD>
<WORD coords="1013,3516,1258,3437,3492">general</WORD>
<WORD coords="1306,3511,1500,3433,3489">puede</WORD>
<WORD coords="1556,3490,1654,3450,3487">ser</WORD>
<WORD coords="1697,3488,1817,3430,3486">de,.</WORD>
<WORD coords="1816,3487,1930,3427,3483">dos</WORD>
<WORD coords="1984,3481,2200,3423,3479">modos</WORD>
<WORD coords="2233,3494,2250,3468,3491">,</WORD>
<WORD coords="2300,3478,2450,3421,3477">Dis-</WORD>
</LINE>
<LINE>
<WORD coords="140,3606,308,3559,3604">creta</WORD>
<WORD coords="361,3621,401,3567,3613">y</WORD>
<WORD coords="454,3605,739,3559,3603">continua</WORD>
<WORD coords="768,3602,788,3567,3602">i</WORD>
<WORD coords="838,3602,1125,3545,3600">cantidad</WORD>
<WORD coords="1174,3597,1440,3542,3595">discreta</WORD>
<WORD coords="1489,3594,1553,3556,3593">es</WORD>
<WORD coords="1591,3614,1826,3534,3591">aquella</WORD>
<WORD coords="1879,3607,2063,3550,3587">cuyas</WORD>
<WORD coords="2103,3609,2314,3541,3585">partes</WORD>
<WORD coords="2359,3582,2448,3546,3582">es-</WORD>
</LINE>
<LINE>
<WORD coords="138,3714,243,3667,3712">tán</WORD>
<WORD coords="295,3733,625,3655,3709">separadas</WORD>
<WORD coords="683,3709,837,3671,3708">unas</WORD>
<WORD coords="902,3708,974,3652,3707">de</WORD>
<WORD coords="1026,3707,1189,3660,3705">otras</WORD>
<WORD coords="1237,3703,1310,3666,3703">en</WORD>
<WORD coords="1371,3702,1429,3649,3702">la</WORD>
<WORD coords="1481,3700,1756,3641,3697">realidad</WORD>
<WORD coords="1782,3704,1806,3656,0">;</WORD>
<WORD coords="1806,3694,1924,3624,3694">%T</WORD>
<WORD coords="1938,3712,2131,3654,3691">según</WORD>
<WORD coords="2201,3690,2446,3641,3687">nuestro</WORD>
</LINE>
<LINE>
<WORD coords="135,3820,300,3763,3819">modo</WORD>
<WORD coords="361,3818,432,3763,3817">de</WORD>
<WORD coords="488,3817,762,3758,3814">concebir</WORD>
<WORD coords="793,3819,814,3778,3816">;</WORD>
<WORD coords="848,3814,929,3777,3813">un</WORD>
<WORD coords="980,3812,1232,3765,3810">monten</WORD>
<WORD coords="1275,3809,1351,3752,3808">de</WORD>
<WORD coords="1407,3824,1583,3767,3804">pesos</WORD>
<WORD coords="1626,3803,1816,3747,3800">duros</WORD>
<WORD coords="1871,3799,1936,3761,3798">es</WORD>
<WORD coords="1989,3795,2275,3738,3793">cantidad</WORD>
<WORD coords="2321,3791,2447,3735,3790">dis-</WORD>
</LINE>
<LINE>
<WORD coords="140,3926,304,3880,3925">creta</WORD>
<WORD coords="361,3925,438,3886,3924">en</WORD>
<WORD coords="483,3923,541,3866,3923">la</WORD>
<WORD coords="586,3923,865,3861,3921">realidad</WORD>
<WORD coords="892,3939,910,3907,3939">,</WORD>
<WORD coords="961,3940,1069,3880,3918">por</WORD>
<WORD coords="1100,3938,1220,3878,3918">que</WORD>
<WORD coords="1277,3915,1357,3876,3914">no</WORD>
<WORD coords="1400,3912,1604,3856,3911">tienen</WORD>
<WORD coords="1657,3929,1929,3850,3906">ninguna</WORD>
<WORD coords="1973,3903,2268,3845,3902">trabazón</WORD>
<WORD coords="2327,3916,2445,3854,3895">que</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0011.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0012.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0012.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1854,546,1926,450,546">%</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="711,677,805,616,676">tos</WORD>
<WORD coords="859,676,1070,618,671">enlaze</WORD>
<WORD coords="1101,677,1118,638,672">;</WORD>
<WORD coords="1170,668,1258,613,667">Tas</WORD>
<WORD coords="1293,683,1535,607,662">piedras</WORD>
<WORD coords="1592,659,1667,603,658">de</WORD>
<WORD coords="1721,659,1838,621,657">una</WORD>
<WORD coords="1882,674,2070,598,654">pared</WORD>
<WORD coords="2123,653,2230,616,652">son</WORD>
<WORD coords="2286,651,2573,593,650">cantidad</WORD>
<WORD coords="2635,643,2900,586,641">discreta</WORD>
<WORD coords="2933,642,3030,600,641">se-</WORD>
</LINE>
<LINE>
<WORD coords="719,802,844,745,781">gún</WORD>
<WORD coords="889,777,971,724,776">mi</WORD>
<WORD coords="1031,775,1217,718,773">modo</WORD>
<WORD coords="1277,771,1352,714,770">de</WORD>
<WORD coords="1412,767,1695,709,763">concebir</WORD>
<WORD coords="1730,775,1745,750,775">,</WORD>
<WORD coords="1802,778,1909,723,760">por</WORD>
<WORD coords="1970,777,2086,722,757">que</WORD>
<WORD coords="2133,756,2250,719,755">aun</WORD>
<WORD coords="2274,771,2373,719,755">jue</WORD>
<WORD coords="2438,754,2655,699,752">unidas</WORD>
<WORD coords="2715,750,3024,694,747">mediante</WORD>
</LINE>
<LINE>
<WORD coords="722,887,780,830,887">te</WORD>
<WORD coords="820,886,905,830,884">cal</WORD>
<WORD coords="945,898,961,872,888">,</WORD>
<WORD coords="1016,879,1105,826,878">las</WORD>
<WORD coords="1166,877,1490,816,872">considero</WORD>
<WORD coords="1542,870,1717,833,868">como</WORD>
<WORD coords="1775,885,2097,810,863">separadas</WORD>
<WORD coords="2146,860,2182,805,862">ó</WORD>
<WORD coords="2237,874,2342,821,857">por</WORD>
<WORD coords="2390,858,2594,802,857">medio</WORD>
<WORD coords="2624,856,2699,800,856">de</WORD>
<WORD coords="2754,853,3027,796,851">diferen-</WORD>
</LINE>
<LINE>
<WORD coords="716,991,809,945,989">tes</WORD>
<WORD coords="870,1008,1043,951,985">rayas</WORD>
<WORD coords="1092,1003,1212,947,984">que</WORD>
<WORD coords="1261,1001,1464,923,979">putdo</WORD>
<WORD coords="1511,983,1717,933,977">trazar</WORD>
<WORD coords="1774,976,1885,937,973">con</WORD>
<WORD coords="1944,973,2024,935,972">un</WORD>
<WORD coords="2059,971,2281,912,968">carbón</WORD>
<WORD coords="2303,982,2320,954,971">,</WORD>
<WORD coords="2353,968,2387,929,968">o</WORD>
<WORD coords="2444,986,2551,927,964">por</WORD>
<WORD coords="2582,964,2673,909,963">ios</WORD>
<WORD coords="2724,962,3051,915,958">contomos</WORD>
</LINE>
<LINE>
<WORD coords="719,1097,837,1056,1095">oue</WORD>
<WORD coords="888,1093,1124,1035,1089">limitan</WORD>
<WORD coords="1178,1087,1206,1038,1087">á</WORD>
<WORD coords="1269,1087,1481,1029,1086">dichas</WORD>
<WORD coords="1546,1097,1809,1028,1082">piedras,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="893,1198,932,1151,1198">4</WORD>
<WORD coords="1013,1199,1261,1139,1195">Unidad</WORD>
<WORD coords="1317,1192,1376,1156,1192">es</WORD>
<WORD coords="1435,1193,1554,1153,1191">una</WORD>
<WORD coords="1607,1210,1789,1144,1187">parte</WORD>
<WORD coords="1833,1188,1902,1133,1188">de</WORD>
<WORD coords="1955,1188,2012,1133,1188">¡a</WORD>
<WORD coords="2067,1187,2352,1129,1185">cantidad</WORD>
<WORD coords="2394,1184,2654,1128,1183">discreta</WORD>
<WORD coords="2721,1180,2956,1115,1174">tomada</WORD>
<WORD coords="3004,1170,3044,1132,1170">a</WORD>
</LINE>
<LINE>
<WORD coords="724,1310,971,1258,1304">nuestro</WORD>
<WORD coords="1029,1304,1289,1244,1299">arbitrio</WORD>
<WORD coords="1323,1311,1339,1287,1311">,</WORD>
<WORD coords="1360,1320,1519,1258,1298">para</WORD>
<WORD coords="1579,1314,1956,1241,1294">compararla</WORD>
<WORD coords="2019,1292,2125,1255,1291">con</WORD>
<WORD coords="2175,1290,2263,1236,1289">las</WORD>
<WORD coords="2320,1289,2515,1235,1288">demás</WORD>
<WORD coords="2570,1288,2638,1234,1288">de</WORD>
<WORD coords="2681,1287,2752,1251,1287">ni</WORD>
<WORD coords="2806,1302,3051,1222,1278">especie.</WORD>
</LINE>
<LINE>
<WORD coords="732,1413,997,1355,1409">Numero</WORD>
<WORD coords="1070,1408,1130,1371,1408">es</WORD>
<WORD coords="1187,1408,1245,1351,1407">la</WORD>
<WORD coords="1307,1407,1560,1365,1404">reunión</WORD>
<WORD coords="1618,1404,1688,1347,1402">de</WORD>
<WORD coords="1741,1403,1979,1346,1400">muchas</WORD>
<WORD coords="2037,1399,2327,1341,1396">unidades</WORD>
<WORD coords="2386,1395,2455,1340,1394">de</WORD>
<WORD coords="2531,1394,2650,1357,1393">una</WORD>
<WORD coords="2702,1391,2909,1349,1387">misma</WORD>
<WORD coords="2963,1382,3055,1345,1381">es-</WORD>
</LINE>
<LINE>
<WORD coords="721,1541,896,1463,1514">pecie</WORD>
<WORD coords="924,1520,945,1481,1517">;</WORD>
<WORD coords="1005,1514,1078,1477,1513">en</WORD>
<WORD coords="1132,1514,1211,1476,1513">ua</WORD>
<WORD coords="1272,1517,1525,1466,1512">montón</WORD>
<WORD coords="1596,1512,1671,1454,1511">de</WORD>
<WORD coords="1724,1528,1899,1472,1507">pesos</WORD>
<WORD coords="1958,1506,2147,1451,1504">duros</WORD>
<WORD coords="2181,1516,2197,1493,1510">,</WORD>
<WORD coords="2243,1501,2293,1447,1501">si</WORD>
<WORD coords="2354,1501,2523,1460,1500">tomo</WORD>
<WORD coords="2580,1499,2658,1463,1498">un</WORD>
<WORD coords="2724,1499,2853,1441,1495">solo</WORD>
<WORD coords="2909,1507,3055,1449,1486">peso</WORD>
</LINE>
<LINE>
<WORD coords="739,1643,880,1585,1621">para</WORD>
<WORD coords="933,1622,1106,1567,1621">saber</WORD>
<WORD coords="1153,1622,1411,1576,1619">cuantos</WORD>
<WORD coords="1457,1635,1635,1581,1617">pesos</WORD>
<WORD coords="1696,1616,1871,1579,1615">como</WORD>
<WORD coords="1929,1612,2054,1567,1611">este</WORD>
<WORD coords="2122,1630,2293,1553,1609">hy,</WORD>
<WORD coords="2356,1607,2537,1552,1606">dicho</WORD>
<WORD coords="2605,1622,2751,1568,1604">peso</WORD>
<WORD coords="2809,1599,2944,1559,1596">sera</WORD>
<WORD coords="3001,1594,3061,1538,1593">la</WORD>
</LINE>
<LINE>
<WORD coords="742,1733,980,1672,1730">Unidad</WORD>
<WORD coords="1017,1736,1033,1692,1736">%</WORD>
<WORD coords="1066,1747,1211,1690,1728">pero</WORD>
<WORD coords="1256,1727,1368,1671,1726">dos</WORD>
<WORD coords="1401,1740,1418,1713,1732">,</WORD>
<WORD coords="1467,1724,1589,1680,1723">tres</WORD>
<WORD coords="1637,1722,1674,1665,1722">ó</WORD>
<WORD coords="1710,1722,1852,1665,1720">diez</WORD>
<WORD coords="1913,1736,2089,1682,1717">pesos</WORD>
<WORD coords="2149,1717,2282,1678,1714">sera</WORD>
<WORD coords="2341,1714,2419,1677,1712">un</WORD>
<WORD coords="2474,1711,2726,1674,1709">numero</WORD>
<WORD coords="2762,1708,2775,1673,1712">:</WORD>
<WORD coords="2806,1704,2859,1649,1703">si</WORD>
<WORD coords="2890,1716,3062,1660,1697">quie-</WORD>
</LINE>
<LINE>
<WORD coords="744,1838,814,1796,1837">ro</WORD>
<WORD coords="864,1838,1142,1779,1835">abreviar</WORD>
<WORD coords="1198,1833,1253,1780,1832">la</WORD>
<WORD coords="1302,1833,1517,1787,1831">cuenta</WORD>
<WORD coords="1554,1846,1572,1817,1846">,</WORD>
<WORD coords="1622,1848,1823,1772,1827">puedo</WORD>
<WORD coords="1878,1825,2062,1768,1823">hacer</WORD>
<WORD coords="2122,1823,2381,1765,1820">muchos</WORD>
<WORD coords="2438,1818,2849,1756,1813">montoncitos</WORD>
<WORD coords="2897,1807,2972,1751,1806">de</WORD>
<WORD coords="3033,1806,3067,1765,1806">%</WORD>
</LINE>
<LINE>
<WORD coords="747,1945,894,1886,1944">diez</WORD>
<WORD coords="942,1962,1119,1906,1941">pesos</WORD>
<WORD coords="1154,1940,1303,1884,1939">cada</WORD>
<WORD coords="1336,1940,1456,1902,1937">uno</WORD>
<WORD coords="1509,1956,1547,1901,1945">y</WORD>
<WORD coords="1607,1934,1713,1897,1934">ver</WORD>
<WORD coords="1771,1934,2018,1886,1931">cuantos</WORD>
<WORD coords="2084,1931,2398,1883,1924">montones</WORD>
<WORD coords="2445,1941,2565,1867,1920">hay</WORD>
<WORD coords="2623,1919,2796,1883,1917">como</WORD>
<WORD coords="2857,1912,2911,1858,1911">el</WORD>
<WORD coords="2948,1929,3069,1870,1906">pri-</WORD>
</LINE>
<LINE>
<WORD coords="745,2054,966,1993,2049">mitivo</WORD>
<WORD coords="1000,2062,1017,2016,2054">;</WORD>
<WORD coords="1050,2047,1336,2003,2044">entonces</WORD>
<WORD coords="1394,2043,1449,1989,2042">la</WORD>
<WORD coords="1501,2043,1733,1985,2040">unidad</WORD>
<WORD coords="1779,2039,1911,2000,2037">sera</WORD>
<WORD coords="1972,2036,2024,1981,2035">el</WORD>
<WORD coords="2083,2033,2470,1974,2029">montoncito</WORD>
<WORD coords="2530,2026,2605,1972,2026">de</WORD>
<WORD coords="2666,2024,2695,1973,2029">á</WORD>
<WORD coords="2754,2022,2895,1967,2020">diez</WORD>
<WORD coords="2930,2036,2944,2009,2035">,</WORD>
<WORD coords="2973,2034,3076,1979,2016">pe-</WORD>
</LINE>
<LINE>
<WORD coords="757,2158,827,2118,2156">ro</WORD>
<WORD coords="887,2156,965,2100,2156">de</WORD>
<WORD coords="1023,2155,1103,2118,2155">un</WORD>
<WORD coords="1160,2153,1353,2095,2150">orden</WORD>
<WORD coords="1404,2167,1685,2092,2147">superior</WORD>
<WORD coords="1737,2162,2017,2097,2142">respecto</WORD>
<WORD coords="2075,2140,2151,2084,2140">de</WORD>
<WORD coords="2206,2138,2261,2083,2137">la</WORD>
<WORD coords="2314,2136,2544,2075,2133">unidad</WORD>
<WORD coords="2604,2148,2912,2071,2126">primitiva</WORD>
<WORD coords="2960,2135,3081,2080,2121">que</WORD>
</LINE>
<LINE>
<WORD coords="753,2265,863,2206,2264">fue</WORD>
<WORD coords="911,2265,991,2225,2263">un</WORD>
<WORD coords="1047,2279,1235,2225,2260">peso,</WORD>
<WORD coords="1260,2280,1300,2223,2269">y</WORD>
<WORD coords="1353,2258,1408,2201,2257">el</WORD>
<WORD coords="1446,2256,1701,2216,2253">numero</WORD>
<WORD coords="1749,2250,1922,2212,2248">serán</WORD>
<WORD coords="1977,2247,2012,2191,2246">ó</WORD>
<WORD coords="2066,2245,2179,2190,2244">dos</WORD>
<WORD coords="2207,2258,2221,2232,2250">,</WORD>
<WORD coords="2243,2242,2278,2188,2242">ó</WORD>
<WORD coords="2313,2242,2434,2199,2240">tres</WORD>
<WORD coords="2488,2238,2522,2183,2240">ó</WORD>
<WORD coords="2581,2237,2794,2194,2234">cuatro</WORD>
<WORD coords="2848,2230,3082,2175,2227">diezes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="924,2371,976,2323,2370">5.</WORD>
<WORD coords="1033,2371,1236,2314,2369">Como</WORD>
<WORD coords="1287,2368,1343,2312,2367">la</WORD>
<WORD coords="1396,2366,1683,2307,2363">cantidad</WORD>
<WORD coords="1730,2362,1801,2324,2360">en</WORD>
<WORD coords="1849,2380,2090,2301,2356">general</WORD>
<WORD coords="2150,2354,2213,2318,2353">es</WORD>
<WORD coords="2258,2353,2522,2295,2350">discreta</WORD>
<WORD coords="2579,2366,2618,2311,2359">y</WORD>
<WORD coords="2663,2343,2944,2282,2338">continua</WORD>
<WORD coords="2976,2346,2991,2318,2349">,</WORD>
<WORD coords="3022,2329,3089,2293,2329">se</WORD>
</LINE>
<LINE>
<WORD coords="768,2501,996,2425,2477">sigue,</WORD>
<WORD coords="1054,2497,1170,2441,2477">que</WORD>
<WORD coords="1241,2475,1329,2421,2474">las</WORD>
<WORD coords="1412,2472,1851,2413,2469">Matemáticas</WORD>
<WORD coords="1930,2482,2108,2426,2462">puras</WORD>
<WORD coords="2169,2460,2232,2424,2459">se</WORD>
<WORD coords="2308,2458,2561,2401,2455">dividen</WORD>
<WORD coords="2620,2454,2690,2416,2451">en</WORD>
<WORD coords="2759,2447,2990,2383,2441">Calculo</WORD>
<WORD coords="3049,2455,3092,2398,2455">y</WORD>
</LINE>
<LINE>
<WORD coords="774,2588,1131,2529,2583">Geometría.</WORD>
<WORD coords="1229,2582,1465,2525,2578">Calculo</WORD>
<WORD coords="1532,2578,1595,2542,2577">es</WORD>
<WORD coords="1644,2575,1696,2523,2575">la</WORD>
<WORD coords="1755,2573,1988,2515,2571">ciencia</WORD>
<WORD coords="2034,2569,2108,2512,2568">de</WORD>
<WORD coords="2155,2567,2206,2511,2566">la</WORD>
<WORD coords="2268,2565,2554,2506,2562">cantidad</WORD>
<WORD coords="2636,2559,2922,2501,2551">discreta.</WORD>
<WORD coords="3020,2542,3096,2487,2541">El</WORD>
</LINE>
<LINE>
<WORD coords="771,2690,1007,2635,2687">calculo</WORD>
<WORD coords="1047,2687,1110,2651,2686">es</WORD>
<WORD coords="1169,2686,1524,2629,2683">Antmttico</WORD>
<WORD coords="1584,2701,1621,2647,2700">y</WORD>
<WORD coords="1678,2699,1995,2622,2677">Algébrico</WORD>
<WORD coords="2028,2675,2047,2640,2674">:</WORD>
<WORD coords="2113,2674,2348,2614,2670">Calculo</WORD>
<WORD coords="2405,2688,2726,2611,2664">Agehriro</WORD>
<WORD coords="2776,2658,2931,2598,2654">*set</WORD>
<WORD coords="2983,2673,3096,2609,2648">que</WORD>
</LINE>
<LINE>
<WORD coords="770,2796,938,2750,2795">trata</WORD>
<WORD coords="996,2794,1065,2738,2793">de</WORD>
<WORD coords="1123,2792,1179,2738,2792">la</WORD>
<WORD coords="1231,2791,1520,2734,2789">cantidad</WORD>
<WORD coords="1566,2788,1827,2731,2785">discreta</WORD>
<WORD coords="1862,2797,1877,2773,2797">,</WORD>
<WORD coords="1939,2802,2363,2722,2777">espresandola</WORD>
<WORD coords="2416,2775,2487,2735,2774">en</WORD>
<WORD coords="2560,2792,2749,2714,2772">cifras</WORD>
<WORD coords="2804,2765,2874,2709,2764">de</WORD>
<WORD coords="2930,2760,3102,2702,2757">valor</WORD>
</LINE>
<LINE>
<WORD coords="771,2906,1260,2843,2901">indeterminado</WORD>
<WORD coords="1298,2913,1316,2887,2905">,</WORD>
<WORD coords="1358,2898,1564,2841,2896">cuales</WORD>
<WORD coords="1622,2894,1728,2858,2893">son</WORD>
<WORD coords="1787,2911,1897,2854,2891">por</WORD>
<WORD coords="1959,2890,2018,2836,2889">lo</WORD>
<WORD coords="2074,2888,2296,2850,2886">común</WORD>
<WORD coords="2346,2882,2430,2829,2882">las</WORD>
<WORD coords="2486,2882,2670,2828,2880">letras</WORD>
<WORD coords="2726,2873,2825,2815,2871">del</WORD>
<WORD coords="2865,2870,3105,2811,2864">Abece-</WORD>
</LINE>
<LINE>
<WORD coords="783,3011,959,2953,3008">dario</WORD>
<WORD coords="993,3021,1009,2976,3013">;</WORD>
<WORD coords="1056,3006,1112,2971,3006">v.</WORD>
<WORD coords="1150,3027,1204,2971,3018">g.</WORD>
<WORD coords="1270,3024,1415,2966,3003">para</WORD>
<WORD coords="1473,3019,1755,2961,3000">espresar</WORD>
<WORD coords="1813,2997,1947,2941,2996">cien</WORD>
<WORD coords="2005,2996,2272,2937,2992">caballos</WORD>
<WORD coords="2305,3007,2323,2979,2999">,</WORD>
<WORD coords="2362,2990,2751,2935,2987">llamaremos</WORD>
<WORD coords="2809,2977,2935,2930,2975">este</WORD>
<WORD coords="2995,2971,3103,2932,2970">nu-</WORD>
</LINE>
<LINE>
<WORD coords="784,3118,959,3079,3117">mero</WORD>
<WORD coords="1016,3115,1052,3079,3115">a</WORD>
<WORD coords="1082,3116,1098,3082,3114">:</WORD>
<WORD coords="1163,3112,1272,3056,3111">mil</WORD>
<WORD coords="1329,3111,1510,3056,3109">bacas</WORD>
<WORD coords="1569,3105,1926,3052,3103">liamaremo</WORD>
<WORD coords="1948,3101,1974,3066,3101">s</WORD>
<WORD coords="2035,3099,2088,3043,3098">b.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="954,3219,1017,3166,3218">6.</WORD>
<WORD coords="1074,3220,1306,3161,3215">Calculo</WORD>
<WORD coords="1358,3215,1708,3156,3211">Aritmético</WORD>
<WORD coords="1755,3210,1790,3175,3210">o</WORD>
<WORD coords="1843,3212,2207,3150,3205">Aritmética</WORD>
<WORD coords="2251,3204,2312,3164,3203">es</WORD>
<WORD coords="2374,3202,2430,3147,3201">la</WORD>
<WORD coords="2487,3201,2713,3144,3200">ciencia</WORD>
<WORD coords="2765,3221,2875,3156,3193">que</WORD>
<WORD coords="2918,3191,3114,3149,3186">averi-</WORD>
</LINE>
<LINE>
<WORD coords="785,3349,918,3289,3325">gua</WORD>
<WORD coords="973,3325,1059,3270,3323">las</WORD>
<WORD coords="1109,3322,1433,3266,3320">relaciones</WORD>
<WORD coords="1487,3337,1527,3280,3336">y</WORD>
<WORD coords="1581,3335,1982,3257,3312">propiedades</WORD>
<WORD coords="2043,3311,2111,3259,3310">de</WORD>
<WORD coords="2162,3310,2248,3254,3308">los</WORD>
<WORD coords="2294,3308,2571,3270,3306">números</WORD>
<WORD coords="2606,3321,2624,3296,3321">,</WORD>
<WORD coords="2669,3325,3120,3235,3295">espresandolos</WORD>
</LINE>
<LINE>
<WORD coords="802,3432,874,3393,3430">en</WORD>
<WORD coords="936,3451,1126,3371,3431">cifras</WORD>
<WORD coords="1179,3426,1250,3370,3425">de</WORD>
<WORD coords="1305,3425,1476,3367,3422">valor</WORD>
<WORD coords="1497,3444,1644,3364,3419">jijo,</WORD>
<WORD coords="1741,3417,1941,3364,3415">Antes</WORD>
<WORD coords="2000,3416,2076,3361,3415">de</WORD>
<WORD coords="2135,3431,2392,3375,3411">esponer</WORD>
<WORD coords="2439,3409,2493,3356,3409">el</WORD>
<WORD coords="2543,3408,2779,3355,3406">calculo</WORD>
<WORD coords="2826,3403,3125,3337,3397">aritmeti-</WORD>
</LINE>
<LINE>
<WORD coords="805,3535,878,3499,3534">co</WORD>
<WORD coords="915,3548,931,3523,3541">,</WORD>
<WORD coords="988,3534,1055,3480,3530">és</WORD>
<WORD coords="1101,3546,1617,3473,3528">importantísimo</WORD>
<WORD coords="1674,3542,2093,3466,3521">espiiquemas</WORD>
<WORD coords="2131,3539,2386,3464,3516">algunos</WORD>
<WORD coords="2440,3516,2735,3458,3513">términos</WORD>
<WORD coords="2792,3528,2834,3472,3528">y</WORD>
<WORD coords="2892,3530,3128,3462,3502">signos,</WORD>
</LINE>
<LINE>
<WORD coords="810,3658,930,3603,3639">que</WORD>
<WORD coords="985,3640,1137,3602,3638">usan</WORD>
<WORD coords="1196,3637,1284,3583,3636">los</WORD>
<WORD coords="1333,3638,1804,3574,3631">Matemáticos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="819,3816,1119,3755,3814">VOCES</WORD>
<WORD coords="1150,3814,1206,3757,3814">Y</WORD>
<WORD coords="1252,3823,1605,3751,3810">SIGNOS,</WORD>
<WORD coords="1638,3819,1831,3749,3808">QUE</WORD>
<WORD coords="1881,3808,2135,3745,3804">USAN</WORD>
<WORD coords="2183,3804,2349,3744,3802">LOS</WORD>
<WORD coords="2405,3801,3131,3727,3791">MATEMATICOS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="969,4000,1047,3921,4000">%</WORD>
<WORD coords="1132,4012,1483,3929,3990">Definición</WORD>
<WORD coords="1525,3985,1587,3947,3984">es</WORD>
<WORD coords="1645,3983,1768,3943,3983">una</WORD>
<WORD coords="1824,3985,2072,3923,3981">oración</WORD>
<WORD coords="2118,3982,2292,3921,3980">breve</WORD>
<WORD coords="2340,3999,2452,3937,3976">que</WORD>
<WORD coords="2509,3998,2735,3915,3973">esphca</WORD>
<WORD coords="2779,3970,2832,3911,3969">lo</WORD>
<WORD coords="2878,3995,2987,3930,3969">que</WORD>
<WORD coords="3017,3983,3147,3908,3964">ha^</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0012.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0013.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0013.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1306,494,1376,408,494">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="192,632,270,572,629">de</WORD>
<WORD coords="321,628,565,569,623">obscuro</WORD>
<WORD coords="613,621,683,579,621">en</WORD>
<WORD coords="729,619,786,563,619">la</WORD>
<WORD coords="828,619,965,578,617">cosa</WORD>
<WORD coords="1017,617,1047,579,617">o</WORD>
<WORD coords="1107,615,1174,576,614">en</WORD>
<WORD coords="1235,613,1289,559,613">el</WORD>
<WORD coords="1329,613,1567,557,611">nombre</WORD>
<WORD coords="1601,616,1620,577,615">;</WORD>
<WORD coords="1673,612,1726,575,612">v.</WORD>
<WORD coords="1768,630,1837,574,619">g.</WORD>
<WORD coords="1903,610,2207,552,608">Cantidad</WORD>
<WORD coords="2251,608,2313,573,608">es</WORD>
<WORD coords="2367,609,2515,552,608">todo</WORD>
</LINE>
<LINE>
<WORD coords="198,750,445,676,733">acuello</WORD>
<WORD coords="501,746,617,694,729">que</WORD>
<WORD coords="670,745,867,671,725">puede</WORD>
<WORD coords="928,723,1027,686,722">ser</WORD>
<WORD coords="1078,741,1290,685,718">mayor</WORD>
<WORD coords="1354,719,1390,668,721">ó</WORD>
<WORD coords="1452,723,1684,680,720">menor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="365,834,419,787,833">8.</WORD>
<WORD coords="518,851,910,778,829">Proposición</WORD>
<WORD coords="958,828,993,790,828">u</WORD>
<WORD coords="1047,828,1290,773,826">oración</WORD>
<WORD coords="1349,823,1407,788,822">es</WORD>
<WORD coords="1462,823,1538,788,822">un</WORD>
<WORD coords="1588,844,1826,767,824">juicio,</WORD>
<WORD coords="1890,823,1960,787,822">en</WORD>
<WORD coords="2008,847,2117,786,822">que</WORD>
<WORD coords="2170,820,2232,785,820">se</WORD>
<WORD coords="2294,845,2515,763,823">afirma</WORD>
</LINE>
<LINE>
<WORD coords="278,958,460,885,938">niega</WORD>
<WORD coords="505,957,621,894,936">por</WORD>
<WORD coords="666,957,952,879,932">palabras</WORD>
<WORD coords="1007,932,1126,895,931">una</WORD>
<WORD coords="1179,932,1314,895,931">cosa</WORD>
<WORD coords="1367,930,1437,877,929">de</WORD>
<WORD coords="1493,932,1566,885,932">oh</WORD>
<WORD coords="1593,935,1629,899,935">a</WORD>
<WORD coords="1658,947,1671,901,939">;</WORD>
<WORD coords="1742,932,1978,877,930">cuando</WORD>
<WORD coords="2027,929,2088,897,929">se</WORD>
<WORD coords="2133,927,2339,870,925">afirma</WORD>
<WORD coords="2378,938,2392,915,934">,</WORD>
<WORD coords="2452,924,2515,889,923">se</WORD>
</LINE>
<LINE>
<WORD coords="195,1044,378,989,1043">llama</WORD>
<WORD coords="429,1066,775,985,1044">afirmativa</WORD>
<WORD coords="816,1048,832,1027,1048">,</WORD>
<WORD coords="879,1058,915,1003,1048">y</WORD>
<WORD coords="966,1038,1203,983,1036">cuando</WORD>
<WORD coords="1265,1037,1326,1004,1036">&amp;e</WORD>
<WORD coords="1386,1057,1567,981,1036">niega</WORD>
<WORD coords="1601,1052,1616,1027,1052">,</WORD>
<WORD coords="1677,1056,1957,985,1036">negativu</WORD>
<WORD coords="1991,1041,2011,1005,1038">:</WORD>
<WORD coords="2066,1036,2120,983,1036">la</WORD>
<WORD coords="2202,1033,2518,974,1028">Aritméti-</WORD>
</LINE>
<LINE>
<WORD coords="197,1151,264,1114,1150">ca</WORD>
<WORD coords="324,1149,383,1114,1148">es</WORD>
<WORD coords="459,1147,574,1093,1146">útil</WORD>
<WORD coords="620,1149,653,1115,1149">a</WORD>
<WORD coords="709,1146,836,1089,1144">todo</WORD>
<WORD coords="890,1145,1126,1090,1144">hombre</WORD>
<WORD coords="1160,1156,1175,1133,1156">,</WORD>
<WORD coords="1224,1163,1611,1090,1143">proposición</WORD>
<WORD coords="1663,1146,1999,1091,1144">añrtntítiva</WORD>
<WORD coords="2037,1160,2052,1116,1153">;</WORD>
<WORD coords="2103,1146,2173,1109,1145">en</WORD>
<WORD coords="2227,1148,2284,1093,1147">la</WORD>
<WORD coords="2340,1146,2514,1089,1142">Arit-</WORD>
</LINE>
<LINE>
<WORD coords="198,1260,410,1201,1255">mética</WORD>
<WORD coords="465,1254,538,1216,1253">no</WORD>
<WORD coords="596,1252,659,1216,1252">se</WORD>
<WORD coords="713,1253,979,1216,1251">ensenan</WORD>
<WORD coords="1040,1250,1207,1213,1250">cosas</WORD>
<WORD coords="1252,1271,1585,1196,1249">imposibles</WORD>
<WORD coords="1616,1267,1632,1241,1267">,</WORD>
<WORD coords="1685,1274,1990,1198,1251">negativa.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="360,1360,418,1309,1359">9.</WORD>
<WORD coords="507,1360,767,1307,1357">Axioma</WORD>
<WORD coords="820,1356,879,1321,1355">es</WORD>
<WORD coords="952,1356,1071,1320,1355">una</WORD>
<WORD coords="1122,1378,1499,1302,1354">preposición</WORD>
<WORD coords="1562,1358,1666,1313,1357">tan</WORD>
<WORD coords="1723,1358,1888,1307,1356">ciara</WORD>
<WORD coords="1952,1381,1992,1321,1369">y</WORD>
<WORD coords="2039,1358,2312,1302,1357">evidente</WORD>
<WORD coords="2355,1380,2520,1314,1358">para</WORD>
</LINE>
<LINE>
<WORD coords="200,1468,365,1412,1466">todos</WORD>
<WORD coords="400,1480,417,1455,1480">,</WORD>
<WORD coords="468,1489,582,1429,1464">que</WORD>
<WORD coords="657,1463,728,1426,1463">no</WORD>
<WORD coords="803,1463,1063,1408,1461">necesita</WORD>
<WORD coords="1112,1462,1512,1407,1460">demostrarse</WORD>
<WORD coords="1543,1478,1557,1453,1471">,</WORD>
<WORD coords="1614,1464,1764,1411,1461">tales</WORD>
<WORD coords="1826,1461,1932,1429,1460">son</WORD>
<WORD coords="1991,1462,2081,1412,1461">los</WORD>
<WORD coords="2163,1489,2524,1408,1464">siguiente^;</WORD>
</LINE>
<LINE>
<WORD coords="200,1575,227,1525,1575">1</WORD>
<WORD coords="239,1583,258,1564,1583">%</WORD>
<WORD coords="275,1555,310,1520,1564">°</WORD>
<WORD coords="371,1574,509,1516,1572">Una</WORD>
<WORD coords="554,1569,690,1533,1568">cosa</WORD>
<WORD coords="748,1568,806,1534,1567">es</WORD>
<WORD coords="861,1588,1033,1515,1566">igual</WORD>
<WORD coords="1083,1567,1118,1533,1567">a</WORD>
<WORD coords="1175,1567,1228,1511,1566">ai</WORD>
<WORD coords="1286,1569,1511,1516,1567">misma.</WORD>
<WORD coords="1604,1570,1723,1516,1565">2.°</WORD>
<WORD coords="1782,1570,1863,1515,1569">El</WORD>
<WORD coords="1906,1568,2036,1513,1567">todo</WORD>
<WORD coords="2120,1568,2179,1534,1567">es</WORD>
<WORD coords="2250,1591,2420,1515,1570">igual</WORD>
<WORD coords="2465,1572,2528,1517,1571">ai</WORD>
</LINE>
<LINE>
<WORD coords="201,1698,482,1622,1674">conjunto</WORD>
<WORD coords="539,1676,609,1621,1675">de</WORD>
<WORD coords="661,1675,765,1636,1674">sus</WORD>
<WORD coords="821,1701,1025,1629,1673">partes</WORD>
<WORD coords="1058,1676,1071,1640,1675">;</WORD>
<WORD coords="1108,1673,1157,1625,1673">3,</WORD>
<WORD coords="1271,1673,1349,1619,1672">Lo</WORD>
<WORD coords="1384,1697,1494,1639,1672">que</WORD>
<WORD coords="1525,1693,1812,1620,1673">hagamos</WORD>
<WORD coords="1858,1674,1962,1637,1673">con</WORD>
<WORD coords="1996,1673,2050,1620,1673">el</WORD>
<WORD coords="2079,1678,2228,1621,1673">todo,</WORD>
<WORD coords="2264,1697,2531,1622,1674">quedara</WORD>
</LINE>
<LINE>
<WORD coords="202,1784,384,1720,1782">Hecho</WORD>
<WORD coords="416,1780,523,1744,1779">con</WORD>
<WORD coords="553,1779,608,1726,1778">el</WORD>
<WORD coords="632,1800,910,1724,1779">conjunto</WORD>
<WORD coords="943,1779,1010,1726,1778">de</WORD>
<WORD coords="1043,1779,1144,1742,1778">sus</WORD>
<WORD coords="1169,1800,1404,1734,1776">partes;</WORD>
<WORD coords="1438,1798,1478,1743,1788">y</WORD>
<WORD coords="1507,1777,1555,1726,1776">lo</WORD>
<WORD coords="1587,1803,1697,1743,1778">que</WORD>
<WORD coords="1726,1799,2017,1724,1778">hagamos</WORD>
<WORD coords="2052,1781,2158,1744,1780">con</WORD>
<WORD coords="2189,1780,2245,1727,1779">el</WORD>
<WORD coords="2275,1803,2528,1745,1779">conjun-</WORD>
</LINE>
<LINE>
<WORD coords="203,1886,260,1839,1885">to</WORD>
<WORD coords="294,1885,361,1831,1885">de</WORD>
<WORD coords="388,1885,477,1845,1884">las</WORD>
<WORD coords="499,1907,711,1840,1884">parte*</WORD>
<WORD coords="748,1900,764,1873,1900">,</WORD>
<WORD coords="794,1909,1059,1830,1883">quedara</WORD>
<WORD coords="1093,1883,1271,1829,1882">hecho</WORD>
<WORD coords="1302,1884,1408,1846,1883">con</WORD>
<WORD coords="1463,1884,1517,1829,1883">el</WORD>
<WORD coords="1554,1884,1705,1839,1883">todo.</WORD>
<WORD coords="1748,1906,2055,1829,1884">Ejemplo:</WORD>
<WORD coords="2087,1886,2135,1832,1885">si</WORD>
<WORD coords="2186,1906,2412,1847,1888">quemo</WORD>
<WORD coords="2460,1892,2541,1856,1890">un</WORD>
</LINE>
<LINE>
<WORD coords="204,1992,361,1934,1989">libro</WORD>
<WORD coords="390,2003,407,1979,1996">,</WORD>
<WORD coords="437,1989,499,1954,1989">sg</WORD>
<WORD coords="554,1990,785,1934,1989">habrán</WORD>
<WORD coords="835,2006,1140,1933,1987">quemado</WORD>
<WORD coords="1188,1988,1364,1934,1987">todas</WORD>
<WORD coords="1416,1990,1518,1953,1988">sus</WORD>
<WORD coords="1572,2009,1733,1932,1988">fojas</WORD>
<WORD coords="1764,1997,1777,1958,1993">;</WORD>
<WORD coords="1813,1989,1865,1937,1988">al</WORD>
<WORD coords="1912,1997,2214,1941,1991">contrario</WORD>
<WORD coords="2249,2016,2267,1982,2005">,</WORD>
<WORD coords="2302,1994,2348,1941,1994">«i</WORD>
<WORD coords="2386,2013,2533,1960,1996">que-</WORD>
</LINE>
<LINE>
<WORD coords="203,2101,307,2064,2100">mo</WORD>
<WORD coords="366,2100,518,2044,2098">cada</WORD>
<WORD coords="585,2119,718,2042,2096">foja</WORD>
<WORD coords="755,2111,771,2085,2111">,</WORD>
<WORD coords="830,2113,1094,2044,2096">quedará</WORD>
<WORD coords="1154,2116,1457,2043,2097">quemado</WORD>
<WORD coords="1512,2098,1660,2044,2098">todo</WORD>
<WORD coords="1715,2099,1767,2045,2099">el</WORD>
<WORD coords="1829,2100,2004,2045,2098">libro.</WORD>
<WORD coords="2089,2102,2129,2051,2100">4</WORD>
<WORD coords="2266,2100,2347,2046,2099">El</WORD>
<WORD coords="2401,2103,2535,2048,2101">todo</WORD>
</LINE>
<LINE>
<WORD coords="206,2207,265,2168,2205">es</WORD>
<WORD coords="318,2222,528,2165,2202">mayGr</WORD>
<WORD coords="582,2225,694,2164,2199">que</WORD>
<WORD coords="768,2224,1113,2145,2200">cualquiera</WORD>
<WORD coords="1170,2200,1238,2148,2200">de</WORD>
<WORD coords="1291,2203,1394,2167,2202">sus</WORD>
<WORD coords="1467,2224,1678,2157,2202">partes</WORD>
<WORD coords="1790,2204,1844,2156,2203">5.</WORD>
<WORD coords="1874,2184,1910,2151,2193">°</WORD>
<WORD coords="1965,2206,2147,2149,2204">Cosas</WORD>
<WORD coords="2197,2227,2433,2152,2205">iguales</WORD>
<WORD coords="2494,2210,2532,2172,2210">a</WORD>
</LINE>
<LINE>
<WORD coords="207,2308,328,2270,2307">una</WORD>
<WORD coords="388,2306,622,2261,2305">tercera</WORD>
<WORD coords="674,2306,780,2270,2305">son</WORD>
<WORD coords="832,2327,1064,2254,2305">iguales</WORD>
<WORD coords="1123,2308,1241,2263,2308">ent-¡</WORD>
<WORD coords="1264,2308,1293,2273,2308">e</WORD>
<WORD coords="1345,2316,1445,2255,2307">si;</WORD>
<WORD coords="1507,2308,1561,2274,2308">v.</WORD>
<WORD coords="1596,2328,1669,2274,2321">g..</WORD>
<WORD coords="1724,2324,1961,2254,2308">Quiero</WORD>
<WORD coords="2029,2325,2252,2256,2309">saber,</WORD>
<WORD coords="2307,2312,2355,2257,2312">si</WORD>
<WORD coords="2420,2318,2535,2261,2316">dos</WORD>
</LINE>
<LINE>
<WORD coords="211,2413,444,2369,2412">estacas</WORD>
<WORD coords="508,2412,568,2358,2412">A</WORD>
<WORD coords="613,2432,651,2377,2425">j</WORD>
<WORD coords="713,2418,764,2356,2418">B</WORD>
<WORD coords="815,2413,1097,2359,2412">clavadas</WORD>
<WORD coords="1147,2413,1218,2379,2413">en</WORD>
<WORD coords="1279,2420,1617,2357,2414">diferentes</WORD>
<WORD coords="1665,2416,1840,2360,2414">sitios</WORD>
<WORD coords="1901,2422,1976,2361,2418">de</WORD>
<WORD coords="2036,2417,2152,2381,2416">una</WORD>
<WORD coords="2204,2434,2387,2367,2418">pared</WORD>
<WORD coords="2443,2423,2538,2387,2422">se-</WORD>
</LINE>
<LINE>
<WORD coords="207,2519,311,2478,2517">rán</WORD>
<WORD coords="353,2540,581,2456,2516">iguales</WORD>
<WORD coords="616,2530,632,2485,2530">;</WORD>
<WORD coords="669,2534,812,2481,2517">pues</WORD>
<WORD coords="870,2519,1039,2475,2518">tomo</WORD>
<WORD coords="1090,2520,1166,2484,2518">un</WORD>
<WORD coords="1226,2525,1435,2475,2521">tercer</WORD>
<WORD coords="1480,2537,1617,2467,2522">palo</WORD>
<WORD coords="1678,2522,1790,2485,2521">con</WORD>
<WORD coords="1848,2539,2027,2468,2521">quien</WORD>
<WORD coords="2094,2525,2261,2469,2523">mido</WORD>
<WORD coords="2322,2529,2529,2475,2528">ambas</WORD>
</LINE>
<LINE>
<WORD coords="214,2627,447,2582,2625">estacas</WORD>
<WORD coords="486,2640,502,2614,2633">,</WORD>
<WORD coords="527,2626,579,2570,2625">si</WORD>
<WORD coords="637,2627,795,2570,2625">hallo</WORD>
<WORD coords="852,2645,967,2591,2627">que</WORD>
<WORD coords="1015,2627,1173,2582,2626">estas</WORD>
<WORD coords="1228,2626,1334,2591,2625">son</WORD>
<WORD coords="1381,2650,1618,2570,2626">iguales</WORD>
<WORD coords="1668,2626,1697,2591,2626">a</WORD>
<WORD coords="1758,2626,1813,2573,2626">la</WORD>
<WORD coords="1876,2629,2122,2574,2627">medida</WORD>
<WORD coords="2163,2640,2178,2619,2637">,</WORD>
<WORD coords="2215,2634,2371,2578,2632">debo</WORD>
<WORD coords="2403,2635,2541,2582,2634">afir-</WORD>
</LINE>
<LINE>
<WORD coords="213,2732,343,2694,2730">mar</WORD>
<WORD coords="402,2747,519,2693,2731">que</WORD>
<WORD coords="596,2731,688,2675,2730">las</WORD>
<WORD coords="749,2732,980,2686,2730">estacas</WORD>
<WORD coords="1044,2733,1102,2680,2733">A</WORD>
<WORD coords="1164,2753,1201,2696,2743">y</WORD>
<WORD coords="1265,2732,1315,2676,2732">B</WORD>
<WORD coords="1353,2747,1367,2722,2740">,</WORD>
<WORD coords="1401,2732,1508,2697,2731">son</WORD>
<WORD coords="1568,2753,1803,2679,2732">iguales</WORD>
<WORD coords="1857,2735,2024,2695,2734">entre</WORD>
<WORD coords="2086,2735,2157,2681,2734">si.</WORD>
<WORD coords="2249,2736,2295,2686,2734">6.</WORD>
<WORD coords="2333,2721,2366,2688,2727">°</WORD>
<WORD coords="2446,2745,2514,2686,2744">Si</WORD>
</LINE>
<LINE>
<WORD coords="213,2836,322,2797,2834">ton</WORD>
<WORD coords="360,2840,710,2779,2835">cantidades</WORD>
<WORD coords="769,2857,1000,2781,2835">iguales</WORD>
<WORD coords="1042,2837,1106,2800,2836">se</WORD>
<WORD coords="1171,2845,1367,2781,2837">hacen,</WORD>
<WORD coords="1412,2860,1794,2790,2840">operaciones</WORD>
<WORD coords="1853,2862,2084,2786,2841">iguales</WORD>
<WORD coords="2127,2862,2155,2828,2862">y</WORD>
<WORD coords="2195,2844,2279,2787,2843">los</WORD>
<WORD coords="2350,2848,2541,2773,2846">resuL</WORD>
</LINE>
<LINE>
<WORD coords="219,2939,386,2882,2938">tados</WORD>
<WORD coords="444,2940,626,2903,2939">serán</WORD>
<WORD coords="677,2960,932,2888,2939">iguales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="380,3044,472,2992,3045">10.</WORD>
<WORD coords="574,3046,855,2989,3044">Teorema</WORD>
<WORD coords="908,3046,967,3012,3046">es</WORD>
<WORD coords="1019,3049,1140,3010,3048">una</WORD>
<WORD coords="1177,3072,1565,2997,3051">proposición</WORD>
<WORD coords="1596,3073,1611,3043,3073">,</WORD>
<WORD coords="1673,3077,1784,3016,3053">que</WORD>
<WORD coords="1827,3075,1989,3011,3055">para</WORD>
<WORD coords="2047,3060,2373,3019,3058">convencer</WORD>
<WORD coords="2379,3061,2435,3006,3061">la</WORD>
<WORD coords="2471,3063,2542,3007,3062">de</WORD>
</LINE>
<LINE>
<WORD coords="215,3151,547,3092,3148">verdadera</WORD>
<WORD coords="580,3161,596,3139,3157">,</WORD>
<WORD coords="654,3153,915,3100,3150">necesita</WORD>
<WORD coords="973,3154,1042,3099,3153">de</WORD>
<WORD coords="1096,3158,1524,3101,3155">demostración</WORD>
<WORD coords="1537,3163,1553,3147,3163">„</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="377,3256,469,3205,3257">11.</WORD>
<WORD coords="531,3260,988,3200,3256">Demostración</WORD>
<WORD coords="1038,3259,1098,3225,3259">es</WORD>
<WORD coords="1139,3263,1216,3226,3262">un</WORD>
<WORD coords="1272,3266,1716,3210,3263">razonamiento</WORD>
<WORD coords="1743,3280,1759,3256,3280">,</WORD>
<WORD coords="1788,3280,1899,3220,3265">por</WORD>
<WORD coords="1929,3267,1985,3211,3266">el</WORD>
<WORD coords="2010,3290,2120,3232,3268">que</WORD>
<WORD coords="2162,3275,2525,3214,3269">declaramos</WORD>
</LINE>
<LINE>
<WORD coords="215,3380,328,3319,3356">que</WORD>
<WORD coords="380,3358,479,3302,3357">dos</WORD>
<WORD coords="536,3361,705,3322,3360">cosas</WORD>
<WORD coords="759,3366,1083,3310,3363">convienen</WORD>
<WORD coords="1141,3367,1312,3323,3365">entre</WORD>
<WORD coords="1337,3368,1394,3316,3368">¿i</WORD>
<WORD coords="1422,3383,1436,3359,3383">,</WORD>
<WORD coords="1457,3390,1575,3325,3368">por</WORD>
<WORD coords="1629,3370,1812,3315,3369">haber</WORD>
<WORD coords="1858,3374,1984,3318,3372">sido</WORD>
<WORD coords="2041,3394,2280,3320,3373">iguales-</WORD>
<WORD coords="2331,3378,2366,3344,3378">a</WORD>
<WORD coords="2420,3380,2540,3343,3378">una</WORD>
</LINE>
<LINE>
<WORD coords="218,3463,472,3415,3460">tercera.</WORD>
<WORD coords="571,3464,665,3410,3464">De</WORD>
<WORD coords="708,3484,849,3412,3466">aquí</WORD>
<WORD coords="910,3467,974,3432,3467">es</WORD>
<WORD coords="1059,3486,1176,3434,3470">que</WORD>
<WORD coords="1237,3471,1309,3437,3470">en</WORD>
<WORD coords="1365,3471,1414,3420,3470">la</WORD>
<WORD coords="1476,3496,1934,3418,3473">demostrado^</WORD>
<WORD coords="1992,3479,2054,3444,3477">se</WORD>
<WORD coords="2103,3481,2253,3422,3479">hace</WORD>
<WORD coords="2282,3483,2387,3447,3482">ver</WORD>
<WORD coords="2419,3501,2538,3449,3490">que</WORD>
</LINE>
<LINE>
<WORD coords="214,3565,273,3509,3564">la</WORD>
<WORD coords="335,3586,720,3511,3566">proposición</WORD>
<WORD coords="776,3574,1114,3518,3571">enunciada</WORD>
<WORD coords="1176,3578,1468,3523,3575">conviene</WORD>
<WORD coords="1542,3577,1656,3543,3576">con</WORD>
<WORD coords="1703,3580,1796,3527,3579">los</WORD>
<WORD coords="1857,3584,2136,3516,3582">ailomas</WORD>
<WORD coords="2168,3595,2183,3574,3592">,</WORD>
<WORD coords="2238,3590,2538,3533,3587">verdades</WORD>
</LINE>
<LINE>
<WORD coords="217,3672,645,3613,3670">demostradas</WORD>
<WORD coords="701,3694,741,3639,3688">y</WORD>
<WORD coords="791,3680,1210,3621,3676">definiciones.</WORD>
<WORD coords="1303,3689,1766,3627,3682">Demostración</WORD>
<WORD coords="1827,3689,2123,3635,3687">indirecta</WORD>
<WORD coords="2176,3691,2212,3637,3691">6</WORD>
<WORD coords="2278,3713,2392,3649,3692">por</WORD>
<WORD coords="2440,3694,2539,3640,3693">ab-</WORD>
</LINE>
<LINE>
<WORD coords="217,3773,403,3719,3770">surdo</WORD>
<WORD coords="457,3773,520,3740,3773">es</WORD>
<WORD coords="576,3795,837,3742,3775">suponer</WORD>
<WORD coords="896,3782,946,3727,3780">la</WORD>
<WORD coords="1003,3803,1388,3731,3784">proposición</WORD>
<WORD coords="1446,3788,1623,3751,3787">como</WORD>
<WORD coords="1697,3808,1890,3734,3791">falsa,</WORD>
<WORD coords="1951,3813,1986,3759,3804">y</WORD>
<WORD coords="2032,3795,2214,3739,3794">hacer</WORD>
<WORD coords="2282,3796,2384,3760,3795">ver</WORD>
<WORD coords="2443,3801,2536,3743,3798">ios</WORD>
</LINE>
<LINE>
<WORD coords="223,3878,520,3821,3875">absurdos</WORD>
<WORD coords="575,3882,612,3826,3888">ó</WORD>
<WORD coords="667,3892,1188,3830,3887">contradicciones</WORD>
<WORD coords="1222,3910,1239,3879,3910">&gt;</WORD>
<WORD coords="1295,3911,1410,3856,3894">que</WORD>
<WORD coords="1455,3899,1724,3848,3896">resultan</WORD>
<WORD coords="1781,3900,1857,3843,3900">de</WORD>
<WORD coords="1912,3903,2038,3861,3902">esta</WORD>
<WORD coords="2098,3926,2448,3847,3904">suposición</WORD>
<WORD coords="2497,3903,2536,3849,3903">ó</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0013.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0014.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0014.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1810,460,1876,372,460">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="929,594,1291,533,587">Demostrar</WORD>
<WORD coords="1327,597,1440,539,581">por</WORD>
<WORD coords="1498,581,1828,527,578">exhancion</WORD>
<WORD coords="1884,576,1946,540,575">es</WORD>
<WORD coords="1982,575,1996,540,575">:</WORD>
<WORD coords="2074,575,2317,518,572">afirmar</WORD>
<WORD coords="2376,570,2451,513,569">de</WORD>
<WORD coords="2499,571,2615,530,570">una</WORD>
<WORD coords="2678,587,2854,523,568">parte</WORD>
<WORD coords="2926,570,3012,527,569">un</WORD>
</LINE>
<LINE>
<WORD coords="683,701,949,624,695">¿tributo</WORD>
<WORD coords="971,709,987,683,708">,</WORD>
<WORD coords="1032,708,1293,639,689">después</WORD>
<WORD coords="1354,686,1427,633,685">de</WORD>
<WORD coords="1486,701,1703,629,681">probar</WORD>
<WORD coords="1763,698,1880,644,679">que</WORD>
<WORD coords="1929,678,2112,622,677">dicho</WORD>
<WORD coords="2162,676,2427,620,674">atributo</WORD>
<WORD coords="2480,673,2559,637,672">no</WORD>
<WORD coords="2622,674,2918,618,672">conviene</WORD>
<WORD coords="2979,674,3011,620,674">á</WORD>
</LINE>
<LINE>
<WORD coords="684,803,771,747,802">las</WORD>
<WORD coords="823,798,838,769,798">(</WORD>
<WORD coords="863,800,985,758,798">tras</WORD>
<WORD coords="1013,813,1027,787,805">,</WORD>
<WORD coords="1059,797,1272,741,794">siendo</WORD>
<WORD coords="1313,791,1626,733,788">necesario</WORD>
<WORD coords="1680,803,1796,752,784">que</WORD>
<WORD coords="1859,802,2171,745,781">convenga</WORD>
<WORD coords="2227,780,2253,726,782">á</WORD>
<WORD coords="2315,800,2530,724,779">alguna</WORD>
<WORD coords="2589,776,2664,723,776">de</WORD>
<WORD coords="2702,777,2850,724,776">ellas</WORD>
<WORD coords="2888,792,2903,746,788">;</WORD>
<WORD coords="2952,784,3012,741,776">v.</WORD>
</LINE>
<LINE>
<WORD coords="686,926,727,872,915">g</WORD>
<WORD coords="792,905,892,869,904">sea</WORD>
<WORD coords="946,905,1020,868,903">un</WORD>
<WORD coords="1071,900,1309,844,897">camino</WORD>
<WORD coords="1361,914,1476,860,893">que</WORD>
<WORD coords="1520,892,1581,858,892">se</WORD>
<WORD coords="1641,891,1851,835,889">divide</WORD>
<WORD coords="1912,887,1984,853,887">en</WORD>
<WORD coords="2041,886,2164,844,884">tres</WORD>
<WORD coords="2224,884,2425,849,883">ramos</WORD>
<WORD coords="2468,901,2548,831,884">A,</WORD>
<WORD coords="2587,883,2634,827,883">B</WORD>
<WORD coords="2676,900,2712,847,898">y</WORD>
<WORD coords="2768,897,3007,827,881">(púni-</WORD>
</LINE>
<LINE>
<WORD coords="681,1011,787,976,1010">cos</WORD>
<WORD coords="839,1026,944,972,1007">por</WORD>
<WORD coords="1022,1006,1223,949,1003">donde</WORD>
<WORD coords="1276,1002,1338,966,1001">se</WORD>
<WORD coords="1400,1020,1598,943,998">puede</WORD>
<WORD coords="1658,995,1845,939,992">andar</WORD>
<WORD coords="1878,1006,1892,960,1006">;</WORD>
<WORD coords="1948,1009,2231,935,989">quedaiá</WORD>
<WORD coords="2301,989,2695,932,987">demostrado</WORD>
<WORD coords="2750,1005,2866,951,987">que</WORD>
<WORD coords="2927,986,3013,928,985">mi</WORD>
</LINE>
<LINE>
<WORD coords="680,1116,910,1060,1113">caballo</WORD>
<WORD coords="970,1114,1032,1080,1113">se</WORD>
<WORD coords="1083,1113,1158,1057,1112">ha</WORD>
<WORD coords="1214,1111,1318,1055,1110">ido</WORD>
<WORD coords="1376,1127,1482,1070,1107">por</WORD>
<WORD coords="1522,1107,1578,1052,1106">el</WORD>
<WORD coords="1628,1120,1712,1050,1105">A,</WORD>
<WORD coords="1763,1101,1812,1044,1100">si</WORD>
<WORD coords="1867,1120,2095,1043,1097">pruebo</WORD>
<WORD coords="2152,1115,2269,1060,1096">que</WORD>
<WORD coords="2319,1097,2395,1060,1096">no</WORD>
<WORD coords="2431,1095,2503,1040,1095">ha</WORD>
<WORD coords="2553,1113,2767,1035,1093">pisado</WORD>
<WORD coords="2821,1095,3007,1038,1094">eirá-</WORD>
</LINE>
<LINE>
<WORD coords="686,1228,786,1185,1227">tno</WORD>
<WORD coords="843,1241,912,1166,1226">B,</WORD>
<WORD coords="953,1221,1007,1188,1221">n\</WORD>
<WORD coords="1070,1221,1118,1169,1221">e?</WORD>
<WORD coords="1184,1221,1259,1165,1221">C.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="853,1330,943,1283,1328">12.</WORD>
<WORD coords="1035,1326,1355,1268,1323">Frvb&apos;ema</WORD>
<WORD coords="1414,1324,1476,1287,1322">es</WORD>
<WORD coords="1531,1320,1653,1283,1319">una</WORD>
<WORD coords="1691,1341,2076,1262,1316">proposición</WORD>
<WORD coords="2109,1327,2125,1304,1321">,</WORD>
<WORD coords="2153,1313,2223,1275,1312">en</WORD>
<WORD coords="2276,1335,2386,1275,1311">que</WORD>
<WORD coords="2444,1310,2508,1273,1309">se</WORD>
<WORD coords="2558,1310,2722,1263,1308">trata</WORD>
<WORD coords="2781,1309,2849,1253,1308">de</WORD>
<WORD coords="2880,1309,3015,1271,1308">ave-</WORD>
</LINE>
<LINE>
<WORD coords="682,1464,902,1389,1442">r^uar</WORD>
<WORD coords="961,1457,1186,1384,1433">alguna</WORD>
<WORD coords="1243,1433,1475,1372,1428">verdad</WORD>
<WORD coords="1526,1430,1909,1370,1425">desconocida</WORD>
<WORD coords="1959,1422,1989,1386,1422">o</WORD>
<WORD coords="2063,1420,2243,1367,1419">hacer</WORD>
<WORD coords="2303,1418,2424,1381,1417">una</WORD>
<WORD coords="2506,1436,2842,1370,1413">operación.</WORD>
<WORD coords="2935,1412,3015,1352,1410">El</WORD>
</LINE>
<LINE>
<WORD coords="682,1574,997,1494,1547">problema</WORD>
<WORD coords="1058,1543,1266,1497,1540">consta</WORD>
<WORD coords="1317,1539,1392,1484,1538">de</WORD>
<WORD coords="1446,1537,1556,1483,1535">dos</WORD>
<WORD coords="1616,1555,1817,1489,1531">partes</WORD>
<WORD coords="1877,1531,2236,1474,1528">Resolución</WORD>
<WORD coords="2293,1546,2333,1489,1538">y</WORD>
<WORD coords="2400,1525,2864,1463,1520">Demostración</WORD>
<WORD coords="2898,1521,2914,1484,1525">;</WORD>
<WORD coords="2943,1515,3016,1478,1514">en</WORD>
</LINE>
<LINE>
<WORD coords="683,1661,738,1605,1659">la</WORD>
<WORD coords="805,1656,1155,1595,1649">resolución</WORD>
<WORD coords="1214,1648,1277,1613,1648">se</WORD>
<WORD coords="1337,1647,1454,1592,1645">dan</WORD>
<WORD coords="1514,1643,1602,1589,1642">las</WORD>
<WORD coords="1666,1661,1915,1584,1639">reglas,</WORD>
<WORD coords="1983,1654,2100,1599,1635">que</WORD>
<WORD coords="2151,1633,2214,1598,1633">se</WORD>
<WORD coords="2275,1632,2470,1576,1630">deben</WORD>
<WORD coords="2551,1646,2813,1569,1623">seguir,</WORD>
<WORD coords="2872,1639,3013,1581,1619">para</WORD>
</LINE>
<LINE>
<WORD coords="684,1767,761,1706,1766">ha</WORD>
<WORD coords="791,1762,879,1709,1761">lar</WORD>
<WORD coords="929,1759,984,1707,1759">lo</WORD>
<WORD coords="1045,1778,1161,1723,1758">que</WORD>
<WORD coords="1204,1755,1268,1720,1755">se</WORD>
<WORD coords="1333,1771,1621,1693,1750">pretende</WORD>
<WORD coords="1659,1762,1674,1716,1754">;</WORD>
<WORD coords="1710,1746,1782,1711,1746">en</WORD>
<WORD coords="1842,1745,1897,1689,1743">la</WORD>
<WORD coords="1963,1741,2416,1680,1737">demostración</WORD>
<WORD coords="2462,1734,2525,1697,1733">se</WORD>
<WORD coords="2580,1731,2729,1674,1729">hace</WORD>
<WORD coords="2763,1727,2869,1690,1726">ver</WORD>
<WORD coords="2898,1743,3019,1686,1726">que</WORD>
</LINE>
<LINE>
<WORD coords="684,1897,1078,1812,1868">practicando</WORD>
<WORD coords="1141,1863,1352,1805,1860">dichas</WORD>
<WORD coords="1408,1877,1605,1801,1855">reglas</WORD>
<WORD coords="1640,1871,1655,1842,1862">,</WORD>
<WORD coords="1682,1853,1746,1818,1853">se</WORD>
<WORD coords="1799,1869,2024,1793,1847">llegará</WORD>
<WORD coords="2074,1843,2100,1791,1845">á</WORD>
<WORD coords="2155,1842,2410,1787,1839">obtener</WORD>
<WORD coords="2453,1838,2513,1784,1837">lo</WORD>
<WORD coords="2545,1855,2662,1801,1836">que</WORD>
<WORD coords="2711,1832,2772,1797,1832">se</WORD>
<WORD coords="2834,1848,2997,1775,1829">pide.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="859,1976,949,1928,1974">13.</WORD>
<WORD coords="1011,1973,1318,1912,1967">Corolario</WORD>
<WORD coords="1380,1965,1417,1910,1963">6</WORD>
<WORD coords="1475,1962,1894,1903,1958">consecuencia</WORD>
<WORD coords="1943,1952,2003,1918,1952">es</WORD>
<WORD coords="2045,1950,2165,1914,1949">una</WORD>
<WORD coords="2215,1947,2411,1911,1946">nueva</WORD>
<WORD coords="2460,1965,2844,1884,1937">proposición</WORD>
<WORD coords="2864,1940,2879,1918,1945">,</WORD>
<WORD coords="2912,1956,3024,1894,1931">que</WORD>
</LINE>
<LINE>
<WORD coords="687,2086,753,2047,2084">se</WORD>
<WORD coords="798,2110,1012,2026,2084">infiere</WORD>
<WORD coords="1069,2077,1136,2021,2076">de</WORD>
<WORD coords="1186,2075,1325,2028,2072">otra</WORD>
<WORD coords="1366,2095,1479,2034,2069">que</WORD>
<WORD coords="1529,2069,1713,2009,2067">acaba</WORD>
<WORD coords="1771,2064,1842,2007,2062">de</WORD>
<WORD coords="1888,2060,2296,2004,2058">demostrarse</WORD>
<WORD coords="2319,2072,2335,2042,2066">,</WORD>
<WORD coords="2368,2052,2407,2016,2052">o</WORD>
<WORD coords="2455,2051,2527,1995,2050">de</WORD>
<WORD coords="2584,2049,2673,1993,2047">las</WORD>
<WORD coords="2718,2065,3025,1982,2047">definido*</WORD>
</LINE>
<LINE>
<WORD coords="698,2193,818,2153,2191">nes</WORD>
<WORD coords="892,2188,920,2154,2188">e</WORD>
<WORD coords="984,2205,1294,2123,2183">hipoteús,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="859,2295,953,2244,2292">14.</WORD>
<WORD coords="1053,2290,1281,2232,2287">Escolio</WORD>
<WORD coords="1329,2284,1391,2248,2283">es</WORD>
<WORD coords="1436,2283,1488,2226,2282">lo</WORD>
<WORD coords="1542,2281,1744,2224,2279">mismo</WORD>
<WORD coords="1797,2301,1909,2238,2276">que</WORD>
<WORD coords="1938,2296,2296,2216,2271">esplicaexon</WORD>
<WORD coords="2341,2267,2377,2211,2269">ó</WORD>
<WORD coords="2427,2266,2810,2206,2262">advertencia</WORD>
<WORD coords="2888,2274,2927,2217,2273">y</WORD>
<WORD coords="2960,2255,3025,2212,2253">se</WORD>
</LINE>
<LINE>
<WORD coords="693,2424,851,2364,2400">pone</WORD>
<WORD coords="896,2399,1098,2340,2396">donde</WORD>
<WORD coords="1159,2393,1451,2337,2390">conviene</WORD>
<WORD coords="1510,2404,1650,2350,2385">para</WORD>
<WORD coords="1707,2382,1937,2332,2381">aclarar</WORD>
<WORD coords="1984,2398,2165,2326,2376">algún</WORD>
<WORD coords="2218,2392,2426,2329,2372">punto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="869,2504,961,2456,2502">15.</WORD>
<WORD coords="1056,2501,1381,2441,2497">Postulado</WORD>
<WORD coords="1436,2494,1471,2440,2494">ó</WORD>
<WORD coords="1523,2515,1792,2435,2489">petición</WORD>
<WORD coords="1847,2486,1907,2451,2486">es</WORD>
<WORD coords="1957,2484,2078,2448,2483">una</WORD>
<WORD coords="2128,2504,2510,2420,2477">proposición</WORD>
<WORD coords="2555,2496,2831,2414,2470">practica</WORD>
<WORD coords="2858,2481,2875,2454,2481">,</WORD>
<WORD coords="2907,2486,3027,2418,2464">por</WORD>
</LINE>
<LINE>
<WORD coords="697,2615,758,2557,2613">la</WORD>
<WORD coords="819,2611,958,2555,2609">cual</WORD>
<WORD coords="1009,2607,1259,2568,2604">conocen</WORD>
<WORD coords="1312,2602,1479,2548,2600">todos</WORD>
<WORD coords="1516,2613,1531,2587,2613">,</WORD>
<WORD coords="1567,2620,1678,2560,2596">que</WORD>
<WORD coords="1734,2594,1796,2559,2593">se</WORD>
<WORD coords="1842,2616,2033,2534,2590">puede</WORD>
<WORD coords="2076,2588,2256,2534,2585">hacer</WORD>
<WORD coords="2305,2603,2532,2527,2580">alguna</WORD>
<WORD coords="2587,2579,2724,2541,2577">cosa</WORD>
<WORD coords="2779,2573,2875,2519,2571">sin</WORD>
<WORD coords="2926,2570,3029,2531,2569">ne-</WORD>
</LINE>
<LINE>
<WORD coords="698,2718,946,2659,2715">cesidad</WORD>
<WORD coords="986,2713,1056,2659,2712">de</WORD>
<WORD coords="1107,2713,1609,2652,2706">convencimiento</WORD>
<WORD coords="1636,2706,1650,2671,2703">:</WORD>
<WORD coords="1683,2701,1771,2647,2701">asi</WORD>
<WORD coords="1824,2700,1890,2664,2699">es</WORD>
<WORD coords="1936,2698,2064,2653,2695">esta</WORD>
<WORD coords="2096,2695,2110,2661,2696">:</WORD>
<WORD coords="2166,2693,2259,2638,2692">En</WORD>
<WORD coords="2319,2690,2436,2652,2689">vez</WORD>
<WORD coords="2476,2691,2552,2630,2688">de</WORD>
<WORD coords="2603,2685,2680,2647,2684">un</WORD>
<WORD coords="2736,2699,2879,2643,2678">peso</WORD>
<WORD coords="2914,2678,3028,2621,2678">du-</WORD>
</LINE>
<LINE>
<WORD coords="702,2828,771,2788,2826">ro</WORD>
<WORD coords="826,2842,1120,2767,2818">podemos</WORD>
<WORD coords="1166,2815,1367,2773,2813">tomar</WORD>
<WORD coords="1419,2811,1578,2755,2809">ocho</WORD>
<WORD coords="1627,2807,1823,2752,2805">reales</WORD>
<WORD coords="1875,2805,1912,2750,2804">ó</WORD>
<WORD coords="1956,2803,2103,2748,2801">diez</WORD>
<WORD coords="2156,2820,2196,2763,2810">y</WORD>
<WORD coords="2248,2796,2369,2741,2794">seis</WORD>
<WORD coords="2422,2794,2658,2735,2790">medios</WORD>
<WORD coords="2712,2787,2931,2729,2783">reales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="874,2929,970,2874,2926">16.</WORD>
<WORD coords="1025,2925,1203,2869,2923">Lema</WORD>
<WORD coords="1260,2921,1318,2885,2919">es</WORD>
<WORD coords="1362,2917,1482,2880,2916">una</WORD>
<WORD coords="1528,2934,1929,2857,2910">proposición</WORD>
<WORD coords="1966,2908,2207,2851,2905">tomada</WORD>
<WORD coords="2259,2903,2329,2848,2902">de</WORD>
<WORD coords="2379,2900,2514,2854,2898">otra</WORD>
<WORD coords="2556,2895,2780,2840,2893">ciencia</WORD>
<WORD coords="2827,2891,2854,2853,2891">o</WORD>
<WORD coords="2905,2888,3030,2842,2886">tra-</WORD>
</LINE>
<LINE>
<WORD coords="707,3039,846,2981,3037">tado</WORD>
<WORD coords="882,3052,903,3023,3043">,</WORD>
<WORD coords="964,3035,1072,2995,3032">con</WORD>
<WORD coords="1119,3030,1172,2974,3030">el</WORD>
<WORD coords="1205,3054,1312,2970,3044">fin</WORD>
<WORD coords="1366,3027,1433,2969,3025">de</WORD>
<WORD coords="1457,3044,1751,2964,3022">facilitar</WORD>
<WORD coords="1810,3036,1849,2979,3026">y</WORD>
<WORD coords="1895,3016,2184,2956,3012">abreviar</WORD>
<WORD coords="2231,3011,2288,2954,3009">la</WORD>
<WORD coords="2334,3027,2721,2946,3002">proposición</WORD>
<WORD coords="2781,3020,2892,2955,2993">que</WORD>
<WORD coords="2964,2996,3032,2951,2990">$e</WORD>
</LINE>
<LINE>
<WORD coords="722,3146,802,3104,3145">Va</WORD>
<WORD coords="860,3141,894,3107,3141">a</WORD>
<WORD coords="934,3161,1180,3082,3136">probar»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="877,3248,971,3195,3247">ir.</WORD>
<WORD coords="1061,3242,1190,3187,3241">Los</WORD>
<WORD coords="1250,3260,1459,3184,3238">signos</WORD>
<WORD coords="1508,3252,1626,3199,3235">que</WORD>
<WORD coords="1674,3232,1823,3194,3230">usan</WORD>
<WORD coords="1864,3229,1955,3173,3228">los</WORD>
<WORD coords="2023,3225,2463,3164,3220">Matemáticos</WORD>
<WORD coords="2502,3213,2610,3176,3212">son</WORD>
<WORD coords="2669,3209,2858,3163,3207">estos.</WORD>
<WORD coords="2919,3205,3033,3148,3203">Pa*</WORD>
</LINE>
<LINE>
<WORD coords="715,3356,781,3316,3354">ra</WORD>
<WORD coords="838,3352,1048,3312,3350">sumar</WORD>
<WORD coords="1111,3348,1165,3292,3347">el</WORD>
<WORD coords="1213,3346,1384,3292,3343">valor</WORD>
<WORD coords="1427,3344,1505,3287,3343">de</WORD>
<WORD coords="1567,3340,1680,3285,3338">dos</WORD>
<WORD coords="1727,3336,1765,3282,3335">ó</WORD>
<WORD coords="1821,3334,1950,3297,3331">mas</WORD>
<WORD coords="2014,3329,2303,3289,3326">números</WORD>
<WORD coords="2354,3323,2418,3287,3322">se</WORD>
<WORD coords="2477,3338,2629,3282,3316">pone</WORD>
<WORD coords="2683,3317,2812,3269,3314">este</WORD>
<WORD coords="2860,3331,3039,3259,3310">signo</WORD>
</LINE>
<LINE>
<WORD coords="716,3471,762,3406,3471">+</WORD>
<WORD coords="805,3473,820,3449,3473">,</WORD>
<WORD coords="853,3476,971,3421,3458">que</WORD>
<WORD coords="1028,3455,1091,3419,3454">se</WORD>
<WORD coords="1127,3473,1459,3395,3450">pronuncia</WORD>
<WORD coords="1516,3446,1640,3409,3445">mas</WORD>
<WORD coords="1674,3456,1689,3412,3448">;</WORD>
<WORD coords="1722,3441,1807,3385,3440">asi</WORD>
<WORD coords="1834,3453,1849,3428,3453">,</WORD>
<WORD coords="1881,3454,2018,3398,3434">para</WORD>
<WORD coords="2093,3448,2380,3390,3427">expresar</WORD>
<WORD coords="2442,3442,2557,3387,3421">que</WORD>
<WORD coords="2594,3418,2648,3367,3418">el</WORD>
<WORD coords="2703,3416,2734,3369,3426">3</WORD>
<WORD coords="2784,3415,2845,3382,3414">se</WORD>
<WORD coords="2895,3413,3042,3363,3411">aña-</WORD>
</LINE>
<LINE>
<WORD coords="716,3569,795,3512,3568">da</WORD>
<WORD coords="853,3566,905,3512,3564">al</WORD>
<WORD coords="937,3563,976,3515,3562">4</WORD>
<WORD coords="1014,3561,1076,3527,3561">se</WORD>
<WORD coords="1126,3558,1462,3502,3555">escribirán</WORD>
<WORD coords="1508,3553,1582,3498,3552">de</WORD>
<WORD coords="1631,3549,1758,3507,3548">este</WORD>
<WORD coords="1831,3546,2015,3487,3543">modo</WORD>
<WORD coords="2055,3554,2069,3531,3548">,</WORD>
<WORD coords="2099,3538,2139,3491,3540">4</WORD>
<WORD coords="2184,3550,2227,3486,3547">+</WORD>
<WORD coords="2274,3544,2334,3484,3540">3,</WORD>
<WORD coords="2370,3550,2409,3495,3546">y</WORD>
<WORD coords="2465,3527,2529,3491,3526">se</WORD>
<WORD coords="2592,3523,2683,3470,3523">lee</WORD>
<WORD coords="2733,3522,2773,3472,3532">4</WORD>
<WORD coords="2804,3520,2927,3481,3518">mas</WORD>
<WORD coords="2980,3516,3039,3467,3516">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="895,3669,986,3621,3667">18.</WORD>
<WORD coords="1087,3664,1232,3611,3663">Para</WORD>
<WORD coords="1290,3661,1482,3616,3659">restar</WORD>
<WORD coords="1536,3657,1617,3621,3655">un</WORD>
<WORD coords="1674,3654,1928,3613,3650">numero</WORD>
<WORD coords="1982,3646,2062,3590,3645">de</WORD>
<WORD coords="2116,3641,2253,3598,3639">otro</WORD>
<WORD coords="2307,3636,2368,3602,3635">se</WORD>
<WORD coords="2402,3635,2509,3597,3633">usa</WORD>
<WORD coords="2564,3631,2691,3585,3629">esta</WORD>
<WORD coords="2722,3627,2879,3572,3625">linea</WORD>
<WORD coords="2925,3624,3037,3568,3623">ho-</WORD>
</LINE>
<LINE>
<WORD coords="725,3783,988,3721,3776">rizontal</WORD>
<WORD coords="1218,3788,1375,3732,3769">,que</WORD>
<WORD coords="1424,3768,1491,3730,3764">«e</WORD>
<WORD coords="1544,3763,1633,3710,3763">lee</WORD>
<WORD coords="1693,3762,1889,3721,3759">menos</WORD>
<WORD coords="1916,3771,1931,3726,3771">;</WORD>
<WORD coords="1964,3778,2002,3721,3775">y</WORD>
<WORD coords="2050,3773,2264,3698,3751">quiere</WORD>
<WORD coords="2322,3758,2530,3688,3744">decir,</WORD>
<WORD coords="2592,3757,2708,3700,3735">que</WORD>
<WORD coords="2770,3732,2869,3675,3731">del</WORD>
<WORD coords="2928,3729,3041,3692,3728">nu-</WORD>
</LINE>
<LINE>
<WORD coords="728,3886,902,3846,3881">mero</WORD>
<WORD coords="957,3893,1071,3844,3876">que</WORD>
<WORD coords="1120,3875,1174,3823,3871">la</WORD>
<WORD coords="1229,3872,1520,3815,3870">antecede</WORD>
<WORD coords="1579,3867,1643,3833,3867">se</WORD>
<WORD coords="1686,3888,1889,3809,3866">rebaje</WORD>
<WORD coords="1942,3864,2000,3807,3862">el</WORD>
<WORD coords="2050,3860,2308,3818,3857">numero</WORD>
<WORD coords="2366,3871,2482,3813,3850">que</WORD>
<WORD coords="2539,3847,2593,3791,3846">la</WORD>
<WORD coords="2637,3863,2810,3786,3842">sigue</WORD>
<WORD coords="2842,3853,2860,3804,3856">;</WORD>
<WORD coords="2892,3836,2945,3798,3836">v.</WORD>
<WORD coords="2978,3856,3041,3795,3844">g.</WORD>
</LINE>
<LINE>
<WORD coords="732,3989,772,3940,3985">6</WORD>
<WORD coords="799,3982,882,3963,3982">—</WORD>
<WORD coords="908,3988,942,3938,3986">2</WORD>
<WORD coords="1000,3985,1064,3947,3984">se</WORD>
<WORD coords="1113,3982,1203,3926,3981">lee</WORD>
<WORD coords="1259,3976,1294,3926,3977">6</WORD>
<WORD coords="1343,3979,1536,3938,3976">menos</WORD>
<WORD coords="1587,3977,1647,3927,3976">2.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0014.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0015.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0015.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1328,534,1392,444,534">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="362,668,438,613,667">19</WORD>
<WORD coords="549,666,705,605,664">Para</WORD>
<WORD coords="761,680,1145,601,660">multiplicar</WORD>
<WORD coords="1202,656,1265,617,656">se</WORD>
<WORD coords="1314,655,1422,617,653">usa</WORD>
<WORD coords="1479,653,1555,596,652">de</WORD>
<WORD coords="1613,652,1670,594,651">la</WORD>
<WORD coords="1729,651,1881,611,650">cruz</WORD>
<WORD coords="1940,649,2016,591,649">de</WORD>
<WORD coords="2076,648,2196,588,647">San</WORD>
<WORD coords="2277,648,2534,588,646">Andrea</WORD>
</LINE>
<LINE>
<WORD coords="188,795,274,720,795">X</WORD>
<WORD coords="367,776,402,719,775">ó</WORD>
<WORD coords="450,774,524,717,774">de</WORD>
<WORD coords="579,773,657,736,772">un</WORD>
<WORD coords="729,770,859,716,769">solo</WORD>
<WORD coords="911,787,1099,721,766">punto</WORD>
<WORD coords="1160,788,1186,714,776">(</WORD>
<WORD coords="1220,765,1233,749,765">.</WORD>
<WORD coords="1267,781,1295,706,781">)</WORD>
<WORD coords="1352,781,1567,716,760">puesto</WORD>
<WORD coords="1618,758,1691,722,758">en</WORD>
<WORD coords="1768,759,1975,700,756">medio</WORD>
<WORD coords="2035,754,2110,697,753">de</WORD>
<WORD coords="2168,755,2278,698,754">dos</WORD>
<WORD coords="2323,754,2542,716,753">núme-</WORD>
</LINE>
<LINE>
<WORD coords="197,887,298,848,885">ros</WORD>
<WORD coords="330,891,348,869,891">,</WORD>
<WORD coords="393,902,428,845,890">y</WORD>
<WORD coords="478,879,542,842,878">se</WORD>
<WORD coords="588,893,919,818,876">pronuncia</WORD>
<WORD coords="977,894,1407,812,871">multiplicado^</WORD>
<WORD coords="1430,890,1548,824,868">por</WORD>
<WORD coords="1582,874,1598,830,873">\</WORD>
<WORD coords="1653,873,1708,829,873">v.</WORD>
<WORD coords="1778,886,1838,829,874">g.</WORD>
<WORD coords="1891,862,1925,813,867">5</WORD>
<WORD coords="2004,880,2079,807,880">X</WORD>
<WORD coords="2147,861,2187,808,866">4</WORD>
<WORD coords="2265,861,2303,804,866">ó</WORD>
<WORD coords="2357,874,2540,808,864">5,4,</WORD>
</LINE>
<LINE>
<WORD coords="203,996,268,956,995">se</WORD>
<WORD coords="319,991,483,936,989">leerá</WORD>
<WORD coords="531,989,565,940,989">5</WORD>
<WORD coords="622,1005,1026,924,982">multiplicado</WORD>
<WORD coords="1075,996,1186,939,976">por</WORD>
<WORD coords="1241,976,1303,925,976">4.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="367,1097,469,1046,1094">20.</WORD>
<WORD coords="562,1092,749,1036,1091">Estos</WORD>
<WORD coords="792,1109,1003,1035,1086">signos</WORD>
<WORD coords="1036,1078,1199,1060,1080">—</WORD>
<WORD coords="1231,1101,1250,1070,1093">,</WORD>
<WORD coords="1297,1085,1314,1050,1085">:</WORD>
<WORD coords="1379,1085,1444,1044,1084">se</WORD>
<WORD coords="1517,1083,1669,1043,1081">usan</WORD>
<WORD coords="1742,1101,1886,1041,1080">para</WORD>
<WORD coords="1946,1098,2159,1021,1076">partir.</WORD>
<WORD coords="2244,1075,2375,1017,1073">Los</WORD>
<WORD coords="2425,1070,2543,1013,1070">dos</WORD>
</LINE>
<LINE>
<WORD coords="208,1224,432,1157,1201">puntos</WORD>
<WORD coords="480,1199,543,1161,1198">se</WORD>
<WORD coords="589,1197,842,1141,1195">colocan</WORD>
<WORD coords="902,1193,1071,1147,1191">entre</WORD>
<WORD coords="1127,1191,1182,1135,1190">el</WORD>
<WORD coords="1235,1190,1494,1151,1188">numero</WORD>
<WORD coords="1576,1206,1693,1151,1187">que</WORD>
<WORD coords="1753,1186,1818,1149,1185">se</WORD>
<WORD coords="1869,1185,2029,1128,1183">hade</WORD>
<WORD coords="2098,1183,2340,1124,1180">dividir</WORD>
<WORD coords="2399,1197,2438,1139,1193">y</WORD>
<WORD coords="2490,1175,2550,1116,1174">el</WORD>
</LINE>
<LINE>
<WORD coords="209,1310,346,1264,1308">otro</WORD>
<WORD coords="406,1326,517,1267,1306">por</WORD>
<WORD coords="562,1324,746,1245,1302">quien</WORD>
<WORD coords="795,1301,858,1264,1301">se</WORD>
<WORD coords="919,1300,1131,1242,1298">divide</WORD>
<WORD coords="1170,1303,1187,1263,1299">;</WORD>
<WORD coords="1225,1295,1275,1240,1295">si</WORD>
<WORD coords="1333,1295,1396,1259,1294">se</WORD>
<WORD coords="1449,1296,1559,1257,1294">usa</WORD>
<WORD coords="1604,1292,1679,1237,1291">de</WORD>
<WORD coords="1735,1291,1790,1237,1291">la</WORD>
<WORD coords="1837,1312,1984,1253,1289">raya</WORD>
<WORD coords="2040,1288,2388,1228,1285">horizontal</WORD>
<WORD coords="2422,1299,2441,1270,1296">,</WORD>
<WORD coords="2488,1282,2548,1224,1281">el</WORD>
</LINE>
<LINE>
<WORD coords="210,1416,555,1356,1412">dividendo</WORD>
<WORD coords="612,1410,675,1374,1409">se</WORD>
<WORD coords="728,1426,957,1350,1405">pendra</WORD>
<WORD coords="1008,1404,1245,1347,1402">encima</WORD>
<WORD coords="1301,1420,1338,1365,1410">y</WORD>
<WORD coords="1400,1399,1454,1342,1398">el</WORD>
<WORD coords="1524,1398,1760,1342,1396">divisor</WORD>
<WORD coords="1794,1417,2016,1339,1395">debajo</WORD>
<WORD coords="2065,1393,2141,1336,1393">de</WORD>
<WORD coords="2182,1392,2297,1337,1390">ella</WORD>
<WORD coords="2334,1403,2350,1376,1403">,</WORD>
<WORD coords="2386,1408,2427,1351,1404">y</WORD>
<WORD coords="2476,1390,2543,1349,1389">se</WORD>
</LINE>
<LINE>
<WORD coords="209,1521,373,1464,1520">leerá</WORD>
<WORD coords="402,1534,421,1505,1525">,</WORD>
<WORD coords="475,1517,739,1459,1514">dividido</WORD>
<WORD coords="788,1534,904,1468,1512">por</WORD>
<WORD coords="938,1520,959,1479,1517">;</WORD>
<WORD coords="1004,1514,1041,1475,1514">v</WORD>
<WORD coords="1096,1533,1156,1475,1516">g.</WORD>
<WORD coords="1216,1509,1274,1455,1508">6:</WORD>
<WORD coords="1304,1509,1340,1460,1509">2</WORD>
<WORD coords="1376,1520,1393,1492,1513">,</WORD>
<WORD coords="1438,1507,1473,1451,1507">ó</WORD>
<WORD coords="1529,1503,1565,1453,1505">6</WORD>
<WORD coords="1615,1507,1678,1471,1506">se</WORD>
<WORD coords="1711,1506,1868,1450,1505">leerá</WORD>
<WORD coords="1920,1502,1961,1449,1504">6</WORD>
<WORD coords="2006,1502,2272,1439,1499">dividido</WORD>
<WORD coords="2312,1518,2432,1450,1494">por</WORD>
<WORD coords="2475,1495,2535,1445,1494">2,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1534,1606,1570,1557,1606">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="371,1695,468,1645,1693">21.</WORD>
<WORD coords="566,1692,639,1636,1691">El</WORD>
<WORD coords="691,1693,1002,1635,1691">resultado</WORD>
<WORD coords="1053,1695,1127,1634,1692">de</WORD>
<WORD coords="1184,1690,1333,1633,1690">toda</WORD>
<WORD coords="1407,1704,1735,1627,1682">operación</WORD>
<WORD coords="1791,1681,1855,1645,1680">se</WORD>
<WORD coords="1906,1700,2151,1642,1681">espresa</WORD>
<WORD coords="2203,1677,2292,1618,1676">así</WORD>
<WORD coords="2332,1686,2345,1661,1685">,</WORD>
<WORD coords="2381,1683,2488,1645,1683">===</WORD>
<WORD coords="2527,1689,2548,1660,1689">,</WORD>
</LINE>
<LINE>
<WORD coords="206,1833,254,1769,1817">y</WORD>
<WORD coords="299,1802,361,1766,1801">se</WORD>
<WORD coords="410,1801,501,1747,1800">lee</WORD>
<WORD coords="561,1820,734,1745,1799">igual</WORD>
<WORD coords="781,1798,816,1762,1798">a</WORD>
<WORD coords="850,1810,864,1787,1804">,</WORD>
<WORD coords="928,1798,964,1743,1797">ó</WORD>
<WORD coords="1020,1797,1151,1740,1796">vale</WORD>
<WORD coords="1182,1810,1200,1763,1803">;</WORD>
<WORD coords="1247,1797,1303,1758,1797">v.</WORD>
<WORD coords="1358,1816,1418,1758,1801">g.</WORD>
<WORD coords="1472,1792,1507,1742,1792">5</WORD>
<WORD coords="1580,1816,1662,1733,1804">+</WORD>
<WORD coords="1708,1790,1740,1739,1791">3</WORD>
<WORD coords="1793,1800,1898,1759,1800">=</WORD>
<WORD coords="1930,1790,1986,1739,1791">8.</WORD>
<WORD coords="2045,1788,2109,1749,1787">se</WORD>
<WORD coords="2155,1789,2315,1728,1788">leerá</WORD>
<WORD coords="2347,1785,2377,1733,1789">5</WORD>
<WORD coords="2417,1782,2545,1739,1781">mas</WORD>
</LINE>
<LINE>
<WORD coords="214,1912,249,1863,1912">3</WORD>
<WORD coords="310,1941,485,1853,1911">igual</WORD>
<WORD coords="532,1910,567,1872,1910">a</WORD>
<WORD coords="620,1911,656,1861,1911">8</WORD>
<WORD coords="694,1925,711,1894,1917">,</WORD>
<WORD coords="770,1907,808,1850,1908">ó</WORD>
<WORD coords="863,1908,994,1850,1906">vale</WORD>
<WORD coords="1040,1906,1096,1856,1906">8.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="708,2091,1215,2029,2088">ESPRESION</WORD>
<WORD coords="1263,2088,1321,2029,2088">O</WORD>
<WORD coords="1357,2090,2034,2021,2085">NUMERACION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="370,2274,469,2223,2271">22.</WORD>
<WORD coords="564,2270,696,2212,2268">Con</WORD>
<WORD coords="744,2266,834,2211,2265">los</WORD>
<WORD coords="884,2266,1176,2228,2265">números</WORD>
<WORD coords="1208,2264,1340,2208,2263">solo</WORD>
<WORD coords="1384,2265,1448,2227,2264">se</WORD>
<WORD coords="1500,2281,1742,2205,2262">pueden</WORD>
<WORD coords="1793,2261,1982,2202,2259">hacer</WORD>
<WORD coords="2039,2260,2161,2212,2257">tres</WORD>
<WORD coords="2217,2265,2424,2211,2251">cosas,</WORD>
<WORD coords="2454,2249,2545,2210,2248">es»</WORD>
</LINE>
<LINE>
<WORD coords="196,2407,511,2322,2381">fresarlos</WORD>
<WORD coords="541,2391,557,2365,2391">,</WORD>
<WORD coords="586,2396,990,2316,2373">componerlos</WORD>
<WORD coords="1050,2392,1092,2335,2392">y</WORD>
<WORD coords="1123,2392,1633,2313,2370">descomponerlos</WORD>
<WORD coords="1669,2381,1685,2336,2381">;</WORD>
<WORD coords="1716,2386,1860,2329,2366">pero</WORD>
<WORD coords="1896,2386,2089,2327,2363">según</WORD>
<WORD coords="2125,2362,2217,2307,2360">los</WORD>
<WORD coords="2273,2357,2543,2299,2355">difereu-</WORD>
</LINE>
<LINE>
<WORD coords="209,2489,299,2439,2487">tes</WORD>
<WORD coords="359,2484,579,2427,2482">modos</WORD>
<WORD coords="639,2481,714,2426,2481">de</WORD>
<WORD coords="764,2497,1094,2441,2478">componer</WORD>
<WORD coords="1141,2496,1179,2441,2494">y</WORD>
<WORD coords="1239,2493,1690,2421,2474">descomponer</WORD>
<WORD coords="1750,2491,1867,2436,2472">que</WORD>
<WORD coords="1912,2492,2035,2412,2470">hay</WORD>
<WORD coords="2059,2486,2075,2460,2472">,</WORD>
<WORD coords="2106,2469,2373,2409,2464">resultan</WORD>
<WORD coords="2427,2459,2551,2402,2458">seis</WORD>
</LINE>
<LINE>
<WORD coords="207,2609,602,2534,2588">operaciones</WORD>
<WORD coords="637,2600,653,2575,2593">,</WORD>
<WORD coords="687,2586,716,2533,2586">á</WORD>
<WORD coords="766,2586,940,2530,2584">saber</WORD>
<WORD coords="977,2586,991,2551,2584">:</WORD>
<WORD coords="1016,2583,1142,2538,2582">tres</WORD>
<WORD coords="1197,2581,1272,2526,2580">de</WORD>
<WORD coords="1323,2600,1745,2523,2578">composición</WORD>
<WORD coords="1800,2596,1919,2541,2578">que</WORD>
<WORD coords="1971,2575,2079,2540,2575">son</WORD>
<WORD coords="2101,2576,2320,2520,2574">Sumar</WORD>
<WORD coords="2327,2580,2344,2557,2580">%</WORD>
<WORD coords="2382,2568,2540,2510,2567">Muí*</WORD>
</LINE>
<LINE>
<WORD coords="207,2714,452,2643,2697">ttplicar</WORD>
<WORD coords="497,2716,537,2660,2706">y</WORD>
<WORD coords="596,2696,821,2640,2693">Eltvar</WORD>
<WORD coords="877,2693,913,2658,2693">a</WORD>
<WORD coords="961,2711,1268,2646,2689">potencias</WORD>
<WORD coords="1299,2705,1315,2676,2705">,</WORD>
<WORD coords="1343,2706,1378,2653,2696">y</WORD>
<WORD coords="1412,2687,1538,2642,2685">tres</WORD>
<WORD coords="1585,2685,1661,2629,2684">de</WORD>
<WORD coords="1710,2703,2246,2624,2683">descomposición</WORD>
<WORD coords="2277,2696,2397,2640,2677">que</WORD>
<WORD coords="2428,2674,2540,2633,2673">son</WORD>
</LINE>
<LINE>
<WORD coords="208,2808,437,2748,2805">Restar</WORD>
<WORD coords="472,2816,488,2791,2809">,</WORD>
<WORD coords="550,2802,806,2746,2800">Dividir</WORD>
<WORD coords="852,2818,891,2762,2808">y</WORD>
<WORD coords="949,2799,1258,2742,2796">Estraher</WORD>
<WORD coords="1306,2795,1525,2738,2793">raices.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="362,2914,459,2864,2911">23.</WORD>
<WORD coords="554,2911,956,2851,2906">Numeración</WORD>
<WORD coords="997,2903,1061,2868,2903">es</WORD>
<WORD coords="1112,2904,1228,2865,2902">una</WORD>
<WORD coords="1276,2920,1648,2843,2899">operación,</WORD>
<WORD coords="1695,2918,1820,2859,2899">que</WORD>
<WORD coords="1879,2898,1957,2840,2898">da</WORD>
<WORD coords="2032,2896,2272,2836,2894">medios</WORD>
<WORD coords="2309,2909,2329,2878,2909">,</WORD>
<WORD coords="2386,2910,2534,2848,2889">para</WORD>
</LINE>
<LINE>
<WORD coords="207,3039,488,2981,3018">espresar</WORD>
<WORD coords="540,3032,855,2956,3013">cualquier</WORD>
<WORD coords="907,3013,1165,2973,3010">numero</WORD>
<WORD coords="1220,3027,1328,2971,3007">por</WORD>
<WORD coords="1381,3028,1655,2951,3006">palabras</WORD>
<WORD coords="1716,3006,1755,2948,3007">ó</WORD>
<WORD coords="1810,3022,1925,2965,3003">por</WORD>
<WORD coords="1971,3003,2221,2946,3001">escrito.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="368,3126,467,3074,3124">24.</WORD>
<WORD coords="561,3121,894,3063,3120">Problema.</WORD>
<WORD coords="968,3139,1277,3063,3117">Espresar</WORD>
<WORD coords="1300,3137,1423,3069,3117">por</WORD>
<WORD coords="1469,3135,1760,3055,3112">palabras</WORD>
<WORD coords="1810,3110,1893,3070,3109">un</WORD>
<WORD coords="1940,3109,2182,3067,3108">numero</WORD>
<WORD coords="2232,3129,2353,3059,3106">por</WORD>
<WORD coords="2404,3106,2537,3064,3105">ere*</WORD>
</LINE>
<LINE>
<WORD coords="205,3233,340,3173,3230">eido</WORD>
<WORD coords="400,3252,512,3192,3227">que</WORD>
<WORD coords="562,3230,688,3192,3227">sea.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="365,3338,748,3278,3335">Resolución.</WORD>
<WORD coords="801,3358,1095,3278,3334">Escójase</WORD>
<WORD coords="1141,3337,1220,3298,3336">un</WORD>
<WORD coords="1275,3336,1604,3277,3334">individuo</WORD>
<WORD coords="1634,3347,1648,3320,3340">,</WORD>
<WORD coords="1675,3333,1732,3295,3333">v.</WORD>
<WORD coords="1758,3353,1812,3295,3339">g.</WORD>
<WORD coords="1871,3332,1949,3294,3331">un</WORD>
<WORD coords="1987,3350,2177,3289,3327">grano</WORD>
<WORD coords="2229,3326,2303,3269,3325">de</WORD>
<WORD coords="2352,3339,2540,3265,3322">maíz,</WORD>
</LINE>
<LINE>
<WORD coords="202,3462,318,3403,3441">por</WORD>
<WORD coords="362,3444,596,3387,3441">unidad</WORD>
<WORD coords="635,3461,992,3387,3443">primitiva,</WORD>
<WORD coords="1025,3444,1080,3388,3443">el</WORD>
<WORD coords="1131,3443,1266,3386,3442">cual</WORD>
<WORD coords="1310,3442,1700,3388,3440">llamaremos</WORD>
<WORD coords="1745,3440,1861,3400,3439">uno</WORD>
<WORD coords="1893,3451,1910,3406,3451">;</WORD>
<WORD coords="1943,3457,2343,3376,3432">agregúesele</WORD>
<WORD coords="2378,3440,2543,3384,3428">otro,</WORD>
</LINE>
<LINE>
<WORD coords="197,3571,239,3511,3560">y</WORD>
<WORD coords="298,3549,327,3496,3549">á</WORD>
<WORD coords="387,3549,518,3508,3548">este</WORD>
<WORD coords="581,3572,871,3493,3549">conjunto</WORD>
<WORD coords="930,3550,1250,3495,3549">llamemos</WORD>
<WORD coords="1306,3550,1409,3493,3549">do*</WORD>
<WORD coords="1445,3560,1463,3516,3553">;</WORD>
<WORD coords="1518,3547,1546,3494,3546">á</WORD>
<WORD coords="1614,3546,1744,3501,3545">este</WORD>
<WORD coords="1822,3563,2116,3489,3543">conjunto</WORD>
<WORD coords="2203,3539,2535,3482,3535">añádasele</WORD>
</LINE>
<LINE>
<WORD coords="198,3655,335,3608,3653">otro</WORD>
<WORD coords="366,3668,383,3643,3661">,</WORD>
<WORD coords="434,3654,489,3600,3653">la</WORD>
<WORD coords="546,3656,680,3602,3654">cual</WORD>
<WORD coords="737,3656,994,3599,3655">reunión</WORD>
<WORD coords="1046,3655,1112,3619,3655">se</WORD>
<WORD coords="1155,3656,1396,3600,3654">llamará</WORD>
<WORD coords="1440,3653,1565,3607,3651">tres</WORD>
<WORD coords="1593,3659,1611,3640,3659">,</WORD>
<WORD coords="1662,3673,1702,3614,3662">y</WORD>
<WORD coords="1747,3651,1835,3597,3650">asi</WORD>
<WORD coords="1891,3650,1963,3614,3649">en</WORD>
<WORD coords="2026,3647,2307,3591,3644">adelante</WORD>
<WORD coords="2356,3663,2535,3606,3643">agre*</WORD>
</LINE>
<LINE>
<WORD coords="199,3782,409,3705,3758">gando</WORD>
<WORD coords="459,3771,617,3724,3759">uno,</WORD>
<WORD coords="666,3761,755,3705,3760">les</WORD>
<WORD coords="802,3762,1089,3706,3760">daremos</WORD>
<WORD coords="1135,3761,1225,3705,3760">los</WORD>
<WORD coords="1291,3758,1580,3702,3757">nombres</WORD>
<WORD coords="1641,3757,1718,3701,3756">de</WORD>
<WORD coords="1771,3757,1981,3709,3754">cuatro</WORD>
<WORD coords="2016,3768,2032,3741,3762">,</WORD>
<WORD coords="2087,3751,2251,3696,3750">cinco</WORD>
<WORD coords="2286,3765,2302,3739,3764">,</WORD>
<WORD coords="2386,3763,2535,3694,3746">seis,</WORD>
</LINE>
<LINE>
<WORD coords="193,3865,345,3819,3863">siete</WORD>
<WORD coords="375,3879,387,3855,3872">,</WORD>
<WORD coords="423,3866,565,3811,3865">ocho</WORD>
<WORD coords="605,3885,622,3855,3876">,</WORD>
<WORD coords="648,3868,833,3829,3867">nueve</WORD>
<WORD coords="861,3882,880,3853,3876">,</WORD>
<WORD coords="912,3870,970,3813,3870">al</WORD>
<WORD coords="1033,3890,1341,3810,3866">agregado</WORD>
<WORD coords="1402,3865,1479,3809,3865">de</WORD>
<WORD coords="1533,3867,1722,3826,3865">nueve</WORD>
<WORD coords="1772,3881,1810,3825,3872">y</WORD>
<WORD coords="1857,3862,1974,3822,3861">une</WORD>
<WORD coords="2029,3864,2356,3805,3859">llamamos</WORD>
<WORD coords="2389,3856,2525,3803,3855">diez</WORD>
</LINE>
<LINE>
<WORD coords="195,3971,230,3929,3971">o</WORD>
<WORD coords="280,3975,521,3915,3972">decena.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1363,4052,1399,4002,4052">3</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0015.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0016.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0016.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1808,558,1876,472,558">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="851,682,941,626,682">La</WORD>
<WORD coords="1012,681,1251,626,679">Decena</WORD>
<WORD coords="1309,679,1686,632,675">tomaremos</WORD>
<WORD coords="1766,692,1874,639,673">por</WORD>
<WORD coords="1931,674,2130,636,673">nueva</WORD>
<WORD coords="2205,674,2439,617,673">unidad</WORD>
<WORD coords="2520,696,2560,639,687">y</WORD>
<WORD coords="2626,678,3016,630,675">cor¡ta.remo-s</WORD>
</LINE>
<LINE>
<WORD coords="686,793,860,734,790">hasta</WORD>
<WORD coords="909,787,1051,732,786">diez</WORD>
<WORD coords="1098,785,1272,749,783">como</WORD>
<WORD coords="1333,781,1389,728,781">lo</WORD>
<WORD coords="1439,781,1656,725,779">liemos</WORD>
<WORD coords="1704,781,1902,723,779">hecho</WORD>
<WORD coords="1959,779,2129,736,778">antes</WORD>
<WORD coords="2165,794,2180,768,787">,</WORD>
<WORD coords="2235,779,2522,724,777">diciendo</WORD>
<WORD coords="2554,779,2567,744,780">:</WORD>
<WORD coords="2630,781,2710,742,781">un</WORD>
<WORD coords="2756,781,2890,730,780">diez</WORD>
<WORD coords="2933,793,2948,769,787">,</WORD>
<WORD coords="2986,780,3020,725,780">ó</WORD>
</LINE>
<LINE>
<WORD coords="690,897,836,841,895">diez</WORD>
<WORD coords="885,893,1368,837,889">absolutamente</WORD>
<WORD coords="1406,900,1421,855,893">;</WORD>
<WORD coords="1480,885,1588,829,884">dos</WORD>
<WORD coords="1644,884,1852,830,883">dieces</WORD>
<WORD coords="1900,904,2014,848,884">que</WORD>
<WORD coords="2075,884,2390,830,882">llamamos</WORD>
<WORD coords="2444,886,2642,830,884">veinte</WORD>
<WORD coords="2678,891,2693,857,888">;</WORD>
<WORD coords="2725,885,2849,843,884">tres</WORD>
<WORD coords="2892,886,3024,830,885">die-</WORD>
</LINE>
<LINE>
<WORD coords="690,1002,795,965,1001">ces</WORD>
<WORD coords="844,1016,962,963,998">que</WORD>
<WORD coords="1021,995,1338,941,993">llamamos</WORD>
<WORD coords="1394,994,1626,938,992">treinta</WORD>
<WORD coords="1660,993,1673,958,993">:</WORD>
<WORD coords="1712,992,1921,948,990">cuatro</WORD>
<WORD coords="1978,991,2184,935,989">dieces</WORD>
<WORD coords="2233,1010,2348,955,990">que</WORD>
<WORD coords="2411,992,2728,937,990">llamamos</WORD>
<WORD coords="2774,993,3025,956,991">cuaren-</WORD>
</LINE>
<LINE>
<WORD coords="694,1107,757,1061,1106">ta</WORD>
<WORD coords="795,1109,809,1074,1106">;</WORD>
<WORD coords="857,1103,1029,1048,1102">cinco</WORD>
<WORD coords="1084,1101,1290,1045,1099">dieces</WORD>
<WORD coords="1352,1119,1468,1065,1100">que</WORD>
<WORD coords="1521,1101,1838,1045,1098">llamamos</WORD>
<WORD coords="1898,1098,2210,1044,1097">cincuenta</WORD>
<WORD coords="2239,1109,2253,1066,1103">;</WORD>
<WORD coords="2284,1097,2403,1043,1096">seis</WORD>
<WORD coords="2463,1100,2670,1043,1097">dieces</WORD>
<WORD coords="2712,1113,2726,1085,1112">,</WORD>
<WORD coords="2770,1111,3032,1052,1096">sesenta;</WORD>
</LINE>
<LINE>
<WORD coords="695,1215,849,1158,1212">siete</WORD>
<WORD coords="918,1220,1163,1155,1208">dieces,</WORD>
<WORD coords="1223,1220,1506,1161,1206">setenta;</WORD>
<WORD coords="1586,1207,1743,1150,1204">ocho</WORD>
<WORD coords="1825,1211,2076,1148,1202">dieces,</WORD>
<WORD coords="2139,1204,2432,1150,1202">ochenta*</WORD>
<WORD coords="2521,1207,2718,1169,1205">nueve</WORD>
<WORD coords="2798,1225,3036,1151,1206">dieces,</WORD>
</LINE>
<LINE>
<WORD coords="693,1322,953,1272,1318">noventa</WORD>
<WORD coords="988,1328,1003,1283,1321">;</WORD>
<WORD coords="1059,1315,1203,1259,1314">diez</WORD>
<WORD coords="1260,1314,1467,1259,1313">dieces</WORD>
<WORD coords="1509,1327,1523,1301,1327">,</WORD>
<WORD coords="1553,1330,1670,1276,1312">que</WORD>
<WORD coords="1721,1310,1788,1256,1309">lia</WORD>
<WORD coords="1804,1310,2038,1273,1308">Riamos</WORD>
<WORD coords="2085,1309,2275,1255,1307">ciento</WORD>
<WORD coords="2340,1308,2367,1273,1308">o</WORD>
<WORD coords="2425,1312,2692,1266,1308">centena.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="859,1426,1269,1368,1422">Tomaremos</WORD>
<WORD coords="1317,1440,1430,1385,1421">por</WORD>
<WORD coords="1477,1421,1708,1364,1418">unidad</WORD>
<WORD coords="1764,1419,1817,1364,1418">la</WORD>
<WORD coords="1877,1420,2122,1373,1417">centena</WORD>
<WORD coords="2153,1435,2191,1382,1427">y</WORD>
<WORD coords="2225,1418,2605,1372,1415">contaremos</WORD>
<WORD coords="2665,1417,2836,1361,1416">hasta</WORD>
<WORD coords="2866,1435,3038,1364,1419">diez,</WORD>
</LINE>
<LINE>
<WORD coords="699,1535,877,1496,1533">como</WORD>
<WORD coords="937,1531,989,1475,1531">si</WORD>
<WORD coords="1046,1531,1258,1472,1529">fueran</WORD>
<WORD coords="1338,1529,1641,1472,1526">unidades</WORD>
<WORD coords="1699,1544,2042,1468,1523">primitivas</WORD>
<WORD coords="2079,1539,2094,1514,1539">,</WORD>
<WORD coords="2141,1541,2283,1486,1522">pero</WORD>
<WORD coords="2331,1522,2381,1469,1521">al</WORD>
<WORD coords="2421,1540,2707,1468,1522">conjunto</WORD>
<WORD coords="2761,1526,2834,1470,1525">de</WORD>
<WORD coords="2897,1527,3040,1471,1525">diez</WORD>
</LINE>
<LINE>
<WORD coords="701,1640,983,1594,1638">centenas</WORD>
<WORD coords="1034,1638,1420,1584,1636">llamaremos</WORD>
<WORD coords="1454,1635,1559,1581,1634">mil</WORD>
<WORD coords="1603,1637,1632,1600,1637">o</WORD>
<WORD coords="1696,1636,1896,1581,1634">millar</WORD>
<WORD coords="1924,1647,1938,1604,1640">;</WORD>
<WORD coords="1979,1633,2350,1589,1632">tomaremos</WORD>
<WORD coords="2389,1634,2443,1580,1633">el</WORD>
<WORD coords="2504,1632,2704,1574,1629">miilar</WORD>
<WORD coords="2757,1650,2864,1595,1629">por</WORD>
<WORD coords="2910,1631,3044,1575,1630">uni-</WORD>
</LINE>
<LINE>
<WORD coords="704,1751,830,1691,1749">dad</WORD>
<WORD coords="889,1748,1193,1691,1746">contando</WORD>
<WORD coords="1261,1743,1438,1686,1742">hasta</WORD>
<WORD coords="1494,1748,1628,1687,1743">diez</WORD>
<WORD coords="1690,1744,1797,1687,1743">mil</WORD>
<WORD coords="1828,1751,1841,1711,1746">;</WORD>
<WORD coords="1896,1741,1951,1686,1740">lo</WORD>
<WORD coords="2009,1741,2231,1684,1739">mismo</WORD>
<WORD coords="2290,1740,2576,1683,1739">haremos</WORD>
<WORD coords="2642,1738,2749,1703,1737">con</WORD>
<WORD coords="2825,1736,2878,1683,1735">la</WORD>
<WORD coords="2938,1737,3044,1682,1736">de-</WORD>
</LINE>
<LINE>
<WORD coords="705,1861,853,1821,1858">cena</WORD>
<WORD coords="900,1858,975,1800,1857">de</WORD>
<WORD coords="1034,1859,1234,1800,1855">millar</WORD>
<WORD coords="1311,1853,1612,1797,1852">contando</WORD>
<WORD coords="1686,1851,1858,1794,1850">hasta</WORD>
<WORD coords="1919,1850,2048,1794,1849">cien</WORD>
<WORD coords="2102,1849,2204,1812,1849">mu</WORD>
<WORD coords="2235,1851,2254,1813,1850">;</WORD>
<WORD coords="2285,1847,2336,1793,1846">ei</WORD>
<WORD coords="2386,1845,2512,1792,1844">cien</WORD>
<WORD coords="2553,1847,2659,1791,1845">mil</WORD>
<WORD coords="2707,1846,2742,1789,1848">ó</WORD>
<WORD coords="2798,1844,3047,1799,1842">centena</WORD>
</LINE>
<LINE>
<WORD coords="706,1969,777,1914,1969">de</WORD>
<WORD coords="824,1966,1026,1911,1965">millar</WORD>
<WORD coords="1080,1964,1189,1929,1963">nos</WORD>
<WORD coords="1246,1963,1480,1911,1961">servirá</WORD>
<WORD coords="1539,1961,1613,1906,1960">de</WORD>
<WORD coords="1673,1962,1900,1903,1959">unidad</WORD>
<WORD coords="1929,1977,1965,1922,1966">y</WORD>
<WORD coords="2001,1956,2385,1913,1954">contaremos</WORD>
<WORD coords="2439,1954,2613,1904,1952">hasta</WORD>
<WORD coords="2676,1952,2818,1898,1951">diez</WORD>
<WORD coords="2878,1949,3047,1898,1948">cien-</WORD>
</LINE>
<LINE>
<WORD coords="709,2077,804,2032,2076">tos</WORD>
<WORD coords="862,2074,936,2018,2074">de</WORD>
<WORD coords="997,2088,1227,2017,2070">miles,</WORD>
<WORD coords="1279,2072,1333,2016,2070">el</WORD>
<WORD coords="1388,2071,1524,2014,2069">cual</WORD>
<WORD coords="1580,2088,1870,2011,2065">conjunto</WORD>
<WORD coords="1929,2064,2315,2009,2061">llamaremos</WORD>
<WORD coords="2366,2061,2576,2015,2059">cuento</WORD>
<WORD coords="2614,2060,2639,2024,2060">o</WORD>
<WORD coords="2696,2059,2918,2003,2057">m&apos;ü&apos;on.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="874,2181,950,2126,2180">Se</WORD>
<WORD coords="1013,2181,1233,2125,2179">vuelve</WORD>
<WORD coords="1288,2179,1321,2141,2179">a</WORD>
<WORD coords="1381,2194,1675,2139,2176">empezar</WORD>
<WORD coords="1725,2174,1915,2117,2173">desde</WORD>
<WORD coords="1974,2171,2026,2118,2170">la</WORD>
<WORD coords="2089,2171,2324,2114,2169">unidad</WORD>
<WORD coords="2383,2187,2693,2114,2166">primitiva</WORD>
<WORD coords="2756,2165,3047,2108,2163">añadien-</WORD>
</LINE>
<LINE>
<WORD coords="713,2292,794,2234,2291">do</WORD>
<WORD coords="851,2289,909,2234,2288">la</WORD>
<WORD coords="986,2308,1229,2233,2286">palabra</WORD>
<WORD coords="1294,2287,1495,2229,2285">millón</WORD>
<WORD coords="1557,2285,1587,2248,2285">a</WORD>
<WORD coords="1650,2283,1803,2225,2279">cada</WORD>
<WORD coords="1856,2279,2088,2222,2276">unidad</WORD>
<WORD coords="2126,2292,2142,2266,2292">,</WORD>
<WORD coords="2200,2296,2235,2242,2287">y</WORD>
<WORD coords="2296,2275,2532,2219,2273">cuando</WORD>
<WORD coords="2593,2272,2654,2239,2272">se</WORD>
<WORD coords="2714,2292,2911,2218,2270">llegue</WORD>
<WORD coords="2995,2270,3053,2215,2269">al</WORD>
</LINE>
<LINE>
<WORD coords="717,2408,933,2328,2396">¿pillen</WORD>
<WORD coords="981,2395,1052,2342,2395">de</WORD>
<WORD coords="1116,2394,1396,2338,2392">millones</WORD>
<WORD coords="1428,2407,1442,2382,2399">,</WORD>
<WORD coords="1475,2391,1537,2357,2390">se</WORD>
<WORD coords="1589,2390,1722,2335,2388">dirá</WORD>
<WORD coords="1780,2397,2022,2332,2385">Billón;</WORD>
<WORD coords="2075,2382,2127,2329,2381">al</WORD>
<WORD coords="2189,2382,2399,2327,2381">millón</WORD>
<WORD coords="2459,2380,2532,2326,2379">de</WORD>
<WORD coords="2595,2389,2879,2324,2375">billones,</WORD>
<WORD coords="2938,2374,3054,2319,2373">tri-</WORD>
</LINE>
<LINE>
<WORD coords="731,2516,905,2449,2504">llen;</WORD>
<WORD coords="976,2503,1027,2448,2502">al</WORD>
<WORD coords="1114,2505,1190,2446,2503">de</WORD>
<WORD coords="1274,2501,1551,2445,2498">trillones</WORD>
<WORD coords="1595,2474,1601,2468,2483">•</WORD>
<WORD coords="1661,2498,1995,2439,2493">cuadrillen</WORD>
<WORD coords="2032,2505,2044,2481,2505">,</WORD>
<WORD coords="2099,2510,2135,2455,2501">y</WORD>
<WORD coords="2187,2489,2274,2432,2488">asi</WORD>
<WORD coords="2327,2489,2398,2453,2488">en</WORD>
<WORD coords="2447,2488,2719,2432,2485">adelante</WORD>
<WORD coords="2750,2503,2763,2476,2503">,</WORD>
<WORD coords="2806,2511,3057,2433,2487">quillón,</WORD>
</LINE>
<LINE>
<WORD coords="722,2615,994,2557,2611">sestiilon</WORD>
<WORD coords="1030,2624,1045,2601,2624">,</WORD>
<WORD coords="1095,2632,1380,2551,2607">septillón</WORD>
<WORD coords="1477,2606,1712,2550,2604">ocüllon</WORD>
<WORD coords="1777,2604,1896,2547,2604">&amp;?c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="898,2721,1161,2663,2717">Escolio.</WORD>
<WORD coords="1230,2715,1587,2658,2712">Llamamos</WORD>
<WORD coords="1643,2712,1786,2674,2710">once</WORD>
<WORD coords="1832,2708,1885,2655,2708">el</WORD>
<WORD coords="1931,2729,2222,2651,2707">conjunto</WORD>
<WORD coords="2286,2704,2361,2648,2704">de</WORD>
<WORD coords="2409,2703,2558,2647,2702">diez</WORD>
<WORD coords="2608,2721,2644,2666,2714">y</WORD>
<WORD coords="2702,2702,2820,2666,2700">uno</WORD>
<WORD coords="2922,2701,3063,2645,2700">doce</WORD>
</LINE>
<LINE>
<WORD coords="725,2830,785,2773,2829">al</WORD>
<WORD coords="834,2827,910,2771,2827">de</WORD>
<WORD coords="966,2825,1102,2770,2824">diez</WORD>
<WORD coords="1163,2843,1201,2788,2835">y</WORD>
<WORD coords="1262,2827,1420,2767,2820">dos;</WORD>
<WORD coords="1476,2822,1634,2775,2820">trece</WORD>
<WORD coords="1681,2818,1739,2764,2817">al</WORD>
<WORD coords="1808,2816,1882,2763,2816">de</WORD>
<WORD coords="1945,2815,2081,2760,2813">diez</WORD>
<WORD coords="2134,2834,2172,2778,2824">y</WORD>
<WORD coords="2212,2813,2332,2768,2811">tres</WORD>
<WORD coords="2354,2819,2374,2777,2815">;</WORD>
<WORD coords="2409,2810,2646,2766,2808">catorce</WORD>
<WORD coords="2695,2807,2750,2753,2807">al</WORD>
<WORD coords="2811,2805,2887,2752,2805">de</WORD>
<WORD coords="2919,2805,3058,2749,2804">diez</WORD>
</LINE>
<LINE>
<WORD coords="727,2957,769,2899,2947">y</WORD>
<WORD coords="830,2937,1040,2890,2933">cuatro</WORD>
<WORD coords="1071,2933,1085,2901,2933">:</WORD>
<WORD coords="1129,2955,1341,2876,2929">quince</WORD>
<WORD coords="1397,2928,1449,2873,2927">al</WORD>
<WORD coords="1499,2927,1643,2871,2926">diez</WORD>
<WORD coords="1702,2945,1742,2889,2936">y</WORD>
<WORD coords="1794,2926,1991,2868,2922">cinco.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="902,3041,1385,2982,3037">Demostración,</WORD>
<WORD coords="1479,3032,1567,2978,3032">La</WORD>
<WORD coords="1645,3032,1837,2995,3031">razón</WORD>
<WORD coords="1906,3030,1979,2965,3030">dé</WORD>
<WORD coords="2042,3028,2130,2975,3027">las</WORD>
<WORD coords="2180,3046,2381,2971,3025">reg&apos;ps</WORD>
<WORD coords="2440,3043,2557,2987,3022">que</WORD>
<WORD coords="2619,3021,2837,2966,3018">hemos</WORD>
<WORD coords="2899,3016,3065,2959,3014">dado</WORD>
</LINE>
<LINE>
<WORD coords="737,3150,818,3113,3148">no</WORD>
<WORD coords="879,3150,941,3115,3149">es</WORD>
<WORD coords="992,3148,1122,3104,3147">ctra</WORD>
<WORD coords="1175,3165,1290,3111,3144">que</WORD>
<WORD coords="1345,3143,1400,3088,3142">la</WORD>
<WORD coords="1458,3142,1623,3104,3140">mera</WORD>
<WORD coords="1687,3139,2064,3082,3137">convención</WORD>
<WORD coords="2096,3138,2108,3103,3137">:</WORD>
<WORD coords="2172,3136,2240,3100,3134">su</WORD>
<WORD coords="2299,3133,2586,3077,3129">sencillez</WORD>
<WORD coords="2649,3124,2709,3091,3124">es</WORD>
<WORD coords="2773,3144,3075,3064,3124">palpable,</WORD>
</LINE>
<LINE>
<WORD coords="738,3277,889,3219,3258">pues</WORD>
<WORD coords="940,3256,1056,3219,3255">con</WORD>
<WORD coords="1117,3274,1299,3216,3252">pocas</WORD>
<WORD coords="1356,3270,1631,3194,3248">palabras</WORD>
<WORD coords="1694,3263,1989,3190,3243">podemos</WORD>
<WORD coords="2036,3244,2326,3186,3240">enunciar</WORD>
<WORD coords="2378,3239,2458,3203,3238">un</WORD>
<WORD coords="2518,3236,2772,3197,3233">numero</WORD>
<WORD coords="2830,3244,3073,3188,3227">aunque</WORD>
</LINE>
<LINE>
<WORD coords="748,3365,851,3329,3364">sea</WORD>
<WORD coords="898,3363,1154,3306,3361">infinito.</WORD>
<WORD coords="1240,3358,1545,3302,3356">También</WORD>
<WORD coords="1599,3354,1660,3320,3354">se</WORD>
<WORD coords="1708,3353,1899,3296,3352">funda</WORD>
<WORD coords="1955,3350,2028,3316,3350">en</WORD>
<WORD coords="2090,3350,2144,3295,3349">la</WORD>
<WORD coords="2199,3347,2553,3290,3344">naturaleza</WORD>
<WORD coords="2617,3341,2668,3288,3339">el</WORD>
<WORD coords="2704,3337,2909,3291,3334">contar</WORD>
<WORD coords="2945,3332,3077,3291,3330">soto</WORD>
</LINE>
<LINE>
<WORD coords="745,3472,919,3415,3470">hasta</WORD>
<WORD coords="955,3484,1136,3414,3468">diez;&apos;</WORD>
<WORD coords="1157,3478,1304,3431,3466">pues</WORD>
<WORD coords="1349,3463,1410,3431,3462">es</WORD>
<WORD coords="1454,3483,1599,3427,3463">muy</WORD>
<WORD coords="1642,3459,1953,3402,3456">verosímil</WORD>
<WORD coords="1989,3473,2104,3420,3454">que</WORD>
<WORD coords="2159,3452,2248,3400,3450">ios</WORD>
<WORD coords="2296,3451,2551,3393,3447">hombre</WORD>
<WORD coords="2593,3443,2656,3409,3443">se</WORD>
<WORD coords="2694,3439,2965,3387,3437">valiesen</WORD>
<WORD coords="3000,3434,3079,3380,3433">de</WORD>
</LINE>
<LINE>
<WORD coords="748,3577,841,3519,3576">los</WORD>
<WORD coords="898,3576,1043,3519,3575">diez</WORD>
<WORD coords="1103,3574,1295,3519,3573">dedos</WORD>
<WORD coords="1343,3571,1418,3517,3570">de</WORD>
<WORD coords="1478,3569,1579,3534,3568">sus</WORD>
<WORD coords="1638,3566,1848,3530,3563">manos</WORD>
<WORD coords="1924,3577,2066,3525,3560">para</WORD>
<WORD coords="2124,3558,2307,3502,3556">hacer</WORD>
<WORD coords="2386,3553,2487,3519,3552">sus</WORD>
<WORD coords="2541,3557,2844,3504,3547">cuentas,</WORD>
<WORD coords="2899,3542,3081,3502,3540">como</WORD>
</LINE>
<LINE>
<WORD coords="751,3685,818,3649,3684">se</WORD>
<WORD coords="881,3684,981,3629,3682">vio</WORD>
<WORD coords="1023,3682,1096,3644,3681">en</WORD>
<WORD coords="1171,3681,1260,3626,3680">ios</WORD>
<WORD coords="1331,3678,1641,3623,3676">Peruanos</WORD>
<WORD coords="1715,3671,1886,3625,3670">antes</WORD>
<WORD coords="1934,3671,2010,3615,3668">de</WORD>
<WORD coords="2077,3665,2130,3612,3665">la</WORD>
<WORD coords="2202,3680,2520,3604,3659">conquista</WORD>
<WORD coords="2558,3672,2572,3646,3672">,</WORD>
<WORD coords="2622,3676,2813,3618,3655">según</WORD>
<WORD coords="2871,3650,3084,3592,3648">refere</WORD>
</LINE>
<LINE>
<WORD coords="753,3792,1053,3734,3789">Herrera.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="916,3898,1021,3849,3896">25.</WORD>
<WORD coords="1111,3895,1188,3839,3895">Se</WORD>
<WORD coords="1240,3893,1423,3837,3892">llama</WORD>
<WORD coords="1474,3890,1732,3834,3887">Sistema,</WORD>
<WORD coords="1791,3886,1861,3831,3885">de</WORD>
<WORD coords="1919,3882,2310,3823,3878">numeracinn</WORD>
<WORD coords="2386,3872,2609,3816,3870">escrita</WORD>
<WORD coords="2666,3866,2720,3812,3865">el</WORD>
<WORD coords="2801,3882,3096,3805,3860">conjunte</WORD>
</LINE>
<LINE>
<WORD coords="763,4012,842,3955,4010">de</WORD>
<WORD coords="903,4009,1056,3969,4005">unos</WORD>
<WORD coords="1117,4020,1301,3964,3999">pocos</WORD>
<WORD coords="1353,4018,1618,3942,3996">signos,</WORD>
<WORD coords="1672,4011,1780,3956,3991">por</WORD>
<WORD coords="1828,3997,2034,3932,3988">medio</WORD>
<WORD coords="2094,3985,2169,3930,3984">de</WORD>
<WORD coords="2221,3981,2311,3928,3980">los</WORD>
<WORD coords="2375,3997,2490,3942,3980">que</WORD>
<WORD coords="2544,3975,2606,3940,3974">se</WORD>
<WORD coords="2668,3990,2866,3915,3969">puede</WORD>
<WORD coords="2909,3969,3103,3931,3966">^n-</WORD>
</LINE>
<LINE>
<WORD coords="757,4131,861,4063,4123">•túr</WORD>
<WORD coords="917,4120,999,4077,4118">ua</WORD>
<WORD coords="1053,4116,1309,4069,4112">numero</WORD>
<WORD coords="1358,4126,1467,4067,4106">por</WORD>
<WORD coords="1523,4105,1765,4043,4102">íafiaito</WORD>
<WORD coords="1816,4119,1934,4060,4098">que</WORD>
<WORD coords="1999,4098,2118,4057,4097">&amp;ea.</WORD>
<WORD coords="2210,4096,2274,4037,4096">A</WORD>
<WORD coords="2284,4108,2488,4049,4090">visque</WORD>
<WORD coords="2541,4086,2693,4027,4085">cada</WORD>
<WORD coords="2741,4079,2984,4019,4076">Nación</WORD>
<WORD coords="3021,4077,3104,4016,4074">ba</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0016.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0017.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0017.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="168,696,384,613,673">inicio</WORD>
<WORD coords="437,671,508,633,671">su</WORD>
<WORD coords="567,689,783,613,669">propio</WORD>
<WORD coords="831,682,1081,615,674">sísfema</WORD>
<WORD coords="1122,689,1137,660,689">,</WORD>
<WORD coords="1191,692,1340,636,671">pero</WORD>
<WORD coords="1400,677,1682,629,674">nosotros</WORD>
<WORD coords="1728,700,2038,616,678">s-egoirhos</WORD>
<WORD coords="2089,675,2142,620,673">el</WORD>
<WORD coords="2202,679,2332,642,678">rm?i</WORD>
<WORD coords="2370,689,2501,640,679">per-</WORD>
</LINE>
<LINE>
<WORD coords="174,778,339,717,775">fecto</WORD>
<WORD coords="374,791,391,765,791">,</WORD>
<WORD coords="427,795,543,741,776">que</WORD>
<WORD coords="611,777,669,741,776">es</WORD>
<WORD coords="717,777,771,724,776">el</WORD>
<WORD coords="826,799,1090,723,777">Deiup&apos;o</WORD>
<WORD coords="1152,780,1189,744,780">o</WORD>
<WORD coords="1241,800,1514,725,779">Arábigo</WORD>
<WORD coords="1573,785,1967,727,783">introducido</WORD>
<WORD coords="2026,805,2138,748,784">por</WORD>
<WORD coords="2197,786,2285,730,785">los</WORD>
<WORD coords="2345,787,2503,735,786">Ara-</WORD>
</LINE>
<LINE>
<WORD coords="173,882,280,825,880">bes</WORD>
<WORD coords="340,882,413,847,882">en</WORD>
<WORD coords="479,902,718,828,884">España</WORD>
<WORD coords="751,900,766,872,900">,</WORD>
<WORD coords="812,903,849,849,903">y</WORD>
<WORD coords="893,906,1233,829,882">divulgado</WORD>
<WORD coords="1294,885,1365,850,884">en</WORD>
<WORD coords="1428,890,1568,832,888">boda</WORD>
<WORD coords="1615,888,1666,834,887">ia</WORD>
<WORD coords="1741,910,1979,837,890">Kuropa</WORD>
<WORD coords="2041,909,2145,855,889">por</WORD>
<WORD coords="2197,892,2251,840,891">el</WORD>
<WORD coords="2307,898,2503,836,896">Botie-</WORD>
</LINE>
<LINE>
<WORD coords="181,988,417,930,986">dictino</WORD>
<WORD coords="455,990,679,934,988">Gerbe:</WORD>
<WORD coords="700,988,758,947,988">to</WORD>
<WORD coords="799,1006,813,977,1006">,</WORD>
<WORD coords="865,1006,979,956,989">que</WORD>
<WORD coords="1039,1008,1301,938,990">después</WORD>
<WORD coords="1338,999,1450,936,992">íue</WORD>
<WORD coords="1509,1013,1665,941,992">Papa</WORD>
<WORD coords="1727,998,2021,942,996">Silvestre</WORD>
<WORD coords="2059,998,2109,954,984">2&apos;</WORD>
<WORD coords="2141,981,2174,947,0">°</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="349,1094,495,1040,1094">Este</WORD>
<WORD coords="558,1095,806,1041,1094">sistema</WORD>
<WORD coords="867,1097,1075,1054,1096">consta</WORD>
<WORD coords="1132,1097,1205,1045,1096">de</WORD>
<WORD coords="1263,1098,1397,1045,1097">diez</WORD>
<WORD coords="1455,1103,1791,1059,1099">caracteres</WORD>
<WORD coords="1827,1119,1842,1092,1119">,</WORD>
<WORD coords="1877,1124,1991,1070,1105">que</WORD>
<WORD coords="2039,1105,2103,1070,1104">se</WORD>
<WORD coords="2163,1112,2385,1054,1108">llaman</WORD>
<WORD coords="2419,1116,2501,1060,1115">ch</WORD>
</LINE>
<LINE>
<WORD coords="165,1222,340,1142,1204">fras</WORD>
<WORD coords="393,1201,428,1145,1202">ó</WORD>
<WORD coords="472,1223,828,1148,1202">guarismos</WORD>
<WORD coords="861,1218,874,1191,1215">,</WORD>
<WORD coords="926,1213,960,1169,1209">y</WORD>
<WORD coords="1007,1205,1123,1168,1203">son-</WORD>
<WORD coords="1162,1204,1251,1152,1203">les</WORD>
<WORD coords="1314,1226,1475,1149,1206">siguí</WORD>
<WORD coords="1486,1211,1652,1163,1207">entes</WORD>
<WORD coords="1663,1217,1677,1169,1217">i</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="484,1334,2116,1262,1319">.1,2,3,4,5,6,7,8,9,0.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="349,1415,476,1358,1414">Les</WORD>
<WORD coords="537,1415,733,1379,1414">nueve</WORD>
<WORD coords="793,1437,1135,1361,1415">guarismos</WORD>
<WORD coords="1193,1436,1583,1378,1416">representan</WORD>
<WORD coords="1635,1422,1713,1372,1421">las</WORD>
<WORD coords="1777,1441,2049,1372,1424">palabras</WORD>
<WORD coords="2079,1433,2193,1392,1431">uno</WORD>
<WORD coords="2249,1434,2373,1379,1432">des.</WORD>
<WORD coords="2415,1444,2528,1381,1439">&amp;c.</WORD>
</LINE>
<LINE>
<WORD coords="196,1521,250,1467,1520">el</WORD>
<WORD coords="306,1522,527,1467,1520">ultimo</WORD>
<WORD coords="577,1520,639,1486,1520">se</WORD>
<WORD coords="704,1520,880,1467,1519">llama</WORD>
<WORD coords="933,1525,1067,1486,1522">cero</WORD>
<WORD coords="1117,1541,1154,1489,1539">y</WORD>
<WORD coords="1215,1537,1562,1483,1523">representa</WORD>
<WORD coords="1636,1528,1688,1474,1527">la</WORD>
<WORD coords="1734,1530,1887,1478,1529">nada</WORD>
<WORD coords="1926,1550,1941,1460,1544">\</WORD>
<WORD coords="1995,1538,2127,1479,1535">solo</WORD>
<WORD coords="2188,1544,2352,1487,1541">sirve</WORD>
<WORD coords="2422,1550,2527,1512,1550">¡,a-</WORD>
</LINE>
<LINE>
<WORD coords="185,1625,249,1589,1624">ra</WORD>
<WORD coords="298,1626,487,1572,1624">llenar</WORD>
<WORD coords="547,1634,652,1572,1626">los,</WORD>
<WORD coords="701,1628,929,1569,1627">huecos</WORD>
<WORD coords="994,1629,1195,1574,1628">donde</WORD>
<WORD coords="1264,1633,1410,1572,1630">falte</WORD>
<WORD coords="1485,1654,1663,1579,1630">algún</WORD>
<WORD coords="1718,1655,2029,1582,1636">guarismo</WORD>
<WORD coords="2091,1665,2505,1590,1649">significativo</WORD>
</LINE>
<LINE>
<WORD coords="186,1731,365,1691,1730">Como</WORD>
<WORD coords="424,1751,643,1689,1733">pronto</WORD>
<WORD coords="707,1738,1009,1699,1734">veremos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="348,1842,531,1783,1840">Todo</WORD>
<WORD coords="586,1842,638,1787,1841">el</WORD>
<WORD coords="684,1849,938,1787,1844">artificio</WORD>
<WORD coords="995,1848,1071,1791,1846">de</WORD>
<WORD coords="1130,1850,1258,1807,1849">este</WORD>
<WORD coords="1311,1855,1561,1798,1853">sistema</WORD>
<WORD coords="1622,1859,1885,1802,1857">consiste</WORD>
<WORD coords="1946,1860,2018,1824,1859">en</WORD>
<WORD coords="2076,1862,2228,1816,1858">este:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="348,1947,447,1896,1950">26.</WORD>
<WORD coords="485,1972,800,1893,1949">Principio</WORD>
<WORD coords="831,1976,1293,1895,1957">fundamental</WORD>
<WORD coords="1354,1961,1451,1905,1960">Un</WORD>
<WORD coords="1499,1981,1817,1926,1961">guarismo</WORD>
<WORD coords="1868,1964,1928,1930,1963">es</WORD>
<WORD coords="1987,1969,2121,1911,1966">diez</WORD>
<WORD coords="2175,1972,2345,1935,1970">veces</WORD>
<WORD coords="2405,1978,2534,1940,1977">ma-</WORD>
</LINE>
<LINE>
<WORD coords="181,2069,295,2011,2048">yor</WORD>
<WORD coords="328,2075,439,2017,2051">que</WORD>
<WORD coords="495,2054,548,2001,2053">el</WORD>
<WORD coords="592,2079,704,2021,2054">que</WORD>
<WORD coords="748,2058,810,2022,2056">se</WORD>
<WORD coords="869,2059,919,2007,2058">le</WORD>
<WORD coords="971,2080,1150,2024,2058">sigue</WORD>
<WORD coords="1198,2066,1231,2008,2065">á</WORD>
<WORD coords="1294,2064,1348,2009,2062">la</WORD>
<WORD coords="1405,2068,1679,2012,2065">derecha.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="350,2177,755,2103,2158">Esplicacion.</WORD>
<WORD coords="836,2163,909,2109,2162">El</WORD>
<WORD coords="968,2166,1138,2113,2164">valor</WORD>
<WORD coords="1199,2171,1393,2115,2169">deles</WORD>
<WORD coords="1444,2173,1638,2137,2171">nueve</WORD>
<WORD coords="1696,2195,2045,2121,2177">guarismos</WORD>
<WORD coords="2092,2209,2534,2131,2194">significativos</WORD>
</LINE>
<LINE>
<WORD coords="184,2264,250,2229,2263">es</WORD>
<WORD coords="300,2262,375,2208,2262">de</WORD>
<WORD coords="432,2265,543,2211,2264">dos</WORD>
<WORD coords="615,2271,893,2232,2267">maneras</WORD>
<WORD coords="930,2282,942,2260,2282">,</WORD>
<WORD coords="979,2294,1196,2220,2273">propio</WORD>
<WORD coords="1254,2297,1289,2242,2289">y</WORD>
<WORD coords="1348,2281,1598,2229,2280">relativo</WORD>
<WORD coords="1631,2287,1653,2249,2287">;</WORD>
<WORD coords="1689,2305,1908,2239,2281">propia</WORD>
<WORD coords="1963,2286,2023,2252,2285">es</WORD>
<WORD coords="2078,2292,2129,2232,2291">el</WORD>
<WORD coords="2172,2314,2286,2262,2301">que</WORD>
<WORD coords="2344,2301,2402,2267,2300">se</WORD>
<WORD coords="2448,2306,2523,2248,2306">ha</WORD>
</LINE>
<LINE>
<WORD coords="181,2392,372,2314,2370">fijado</WORD>
<WORD coords="416,2371,445,2320,2379">á</WORD>
<WORD coords="505,2372,655,2317,2371">cada</WORD>
<WORD coords="717,2376,836,2339,2375">uno</WORD>
<WORD coords="870,2390,885,2366,2389">,</WORD>
<WORD coords="918,2379,1003,2324,2378">asi</WORD>
<WORD coords="1042,2380,1095,2327,2379">el</WORD>
<WORD coords="1153,2382,1186,2332,2385">6</WORD>
<WORD coords="1233,2386,1374,2333,2383">vale-</WORD>
<WORD coords="1412,2389,1531,2335,2388">seis</WORD>
<WORD coords="1593,2393,1894,2336,2390">unidades</WORD>
<WORD coords="1931,2410,1945,2387,2403">,</WORD>
<WORD coords="1980,2396,2033,2344,2395">el</WORD>
<WORD coords="2088,2400,2120,2351,2400">7</WORD>
<WORD coords="2171,2404,2323,2349,2402">siete</WORD>
<WORD coords="2388,2412,2523,2356,2411">uni-</WORD>
</LINE>
<LINE>
<WORD coords="182,2485,372,2425,2480">ilades</WORD>
<WORD coords="410,2492,424,2469,2495">,</WORD>
<WORD coords="481,2486,590,2428,2484">&amp;-c.</WORD>
<WORD coords="686,2485,761,2428,2484">El</WORD>
<WORD coords="826,2488,993,2434,2486">valor</WORD>
<WORD coords="1047,2494,1297,2438,2491">relativo</WORD>
<WORD coords="1362,2500,1423,2465,2497">es</WORD>
<WORD coords="1501,2498,1551,2447,2497">el</WORD>
<WORD coords="1618,2511,1731,2468,2501">que</WORD>
<WORD coords="1794,2505,1958,2449,2503">tiene</WORD>
<WORD coords="2029,2508,2106,2474,2508">un</WORD>
<WORD coords="2201,2527,2410,2457,2512">guarís</WORD>
<WORD coords="2422,2520,2522,2474,2518">too</WORD>
</LINE>
<LINE>
<WORD coords="180,2607,373,2551,2585">según</WORD>
<WORD coords="407,2589,463,2534,2589">el</WORD>
<WORD coords="516,2614,690,2537,2590">lugar</WORD>
<WORD coords="745,2613,859,2559,2594">qne</WORD>
<WORD coords="916,2615,1110,2561,2596">ocupa</WORD>
<WORD coords="1174,2605,1475,2549,2601">contando</WORD>
<WORD coords="1510,2607,1585,2550,2606">de</WORD>
<WORD coords="1640,2612,1901,2553,2608">derecha</WORD>
<WORD coords="1957,2612,1983,2564,2612">á</WORD>
<WORD coords="2047,2625,2369,2560,2620">izouierda</WORD>
<WORD coords="2413,2607,2423,2598,2607">•</WORD>
<WORD coords="2459,2630,2525,2597,2629">ea</WORD>
</LINE>
<LINE>
<WORD coords="179,2707,375,2637,2691">decir,</WORD>
<WORD coords="431,2714,548,2660,2697">que</WORD>
<WORD coords="603,2698,657,2644,2697">el</WORD>
<WORD coords="713,2715,938,2645,2699">primer</WORD>
<WORD coords="986,2727,1156,2650,2703">logar</WORD>
<WORD coords="1210,2727,1596,2657,2709">empezando</WORD>
<WORD coords="1642,2714,1715,2657,2713">de</WORD>
<WORD coords="1779,2716,1830,2663,2715">la</WORD>
<WORD coords="1882,2725,2143,2666,2721">derecha</WORD>
<WORD coords="2179,2728,2239,2694,2727">es</WORD>
<WORD coords="2300,2733,2375,2677,2732">de</WORD>
<WORD coords="2437,2741,2523,2634,2738">¿s</WORD>
</LINE>
<LINE>
<WORD coords="179,2802,471,2745,2800">unidades</WORD>
<WORD coords="527,2822,920,2748,2804">primitivas;</WORD>
<WORD coords="987,2809,1040,2757,2809">el</WORD>
<WORD coords="1096,2834,1371,2759,2812">segundo</WORD>
<WORD coords="1431,2817,1507,2763,2817">de</WORD>
<WORD coords="1569,2820,1650,2765,2818">las</WORD>
<WORD coords="1708,2840,1989,2767,2824">decenas,</WORD>
<WORD coords="2057,2830,2109,2778,2829">el</WORD>
<WORD coords="2170,2839,2404,2791,2836">tercero</WORD>
<WORD coords="2437,2846,2523,2793,2844">.ei</WORD>
</LINE>
<LINE>
<WORD coords="179,2906,257,2849,2905">de</WORD>
<WORD coords="311,2907,394,2855,2906">las</WORD>
<WORD coords="453,2914,730,2865,2911">centenas</WORD>
<WORD coords="759,2929,776,2902,2927">,</WORD>
<WORD coords="832,2914,884,2860,2913">el</WORD>
<WORD coords="945,2920,1155,2874,2917">cuarto</WORD>
<WORD coords="1200,2920,1252,2866,2919">el</WORD>
<WORD coords="1314,2923,1388,2869,2922">de</WORD>
<WORD coords="1431,2926,1518,2871,2924">los</WORD>
<WORD coords="1571,2948,1878,2873,2928">millares,</WORD>
<WORD coords="1931,2933,1981,2881,2933">el</WORD>
<WORD coords="2023,2945,2233,2886,2938">quinto</WORD>
<WORD coords="2297,2945,2367,2891,2943">de</WORD>
<WORD coords="2430,2953,2518,2856,2947">f$¿</WORD>
</LINE>
<LINE>
<WORD coords="178,3015,430,2958,3013">docenas</WORD>
<WORD coords="485,3017,556,2963,3017">de</WORD>
<WORD coords="609,3021,807,2964,3018">millar</WORD>
<WORD coords="842,3036,856,3012,3034">,</WORD>
<WORD coords="890,3023,943,2968,3022">el</WORD>
<WORD coords="998,3026,1169,2982,3024">sesto</WORD>
<WORD coords="1227,3029,1303,2975,3028">de</WORD>
<WORD coords="1352,3030,1437,2978,3029">las</WORD>
<WORD coords="1476,3041,1757,2991,3036">centenas</WORD>
<WORD coords="1792,3038,1859,2985,3037">de</WORD>
<WORD coords="1907,3041,2105,2986,3039">milir</WORD>
<WORD coords="2140,3059,2153,3034,3058">,</WORD>
<WORD coords="2199,3058,2360,2977,3051">¿tos</WORD>
<WORD coords="2395,3059,2518,3000,3057">&lt;eis</WORD>
</LINE>
<LINE>
<WORD coords="179,3139,428,3062,3118">lugares</WORD>
<WORD coords="483,3143,824,3088,3125">componen</WORD>
<WORD coords="880,3130,960,3094,3129">un</WORD>
<WORD coords="1012,3148,1289,3077,3132">periodo.</WORD>
<WORD coords="1388,3138,1459,3082,3137">El</WORD>
<WORD coords="1520,3160,1798,3089,3138">segando</WORD>
<WORD coords="1867,3161,2119,3090,3147">periodo</WORD>
<WORD coords="2172,3154,2233,3119,3154">es</WORD>
<WORD coords="2290,3157,2366,3122,3156">re</WORD>
<WORD coords="2430,3162,2515,3108,3160">Lo-</WORD>
</LINE>
<LINE>
<WORD coords="177,3228,450,3171,3226">millones</WORD>
<WORD coords="489,3245,504,3219,3245">,</WORD>
<WORD coords="549,3249,665,3197,3231">que</WORD>
<WORD coords="720,3236,989,3181,3234">también</WORD>
<WORD coords="1034,3241,1196,3186,3239">tiene</WORD>
<WORD coords="1249,3248,1370,3192,3243">seis</WORD>
<WORD coords="1431,3267,1672,3192,3247">lugares</WORD>
<WORD coords="1739,3252,1811,3199,3251">de</WORD>
<WORD coords="1876,3255,1962,3201,3254">los</WORD>
<WORD coords="2022,3266,2136,3224,3259">que</WORD>
<WORD coords="2174,3261,2222,3209,3260">el</WORD>
<WORD coords="2293,3263,2515,3216,3261">nrmv^.</WORD>
</LINE>
<LINE>
<WORD coords="179,3331,249,3291,3330">ro</WORD>
<WORD coords="305,3333,369,3300,3333">es</WORD>
<WORD coords="416,3336,489,3283,3336">de</WORD>
<WORD coords="537,3339,621,3284,3338">las</WORD>
<WORD coords="655,3343,942,3286,3341">unidades</WORD>
<WORD coords="1002,3346,1075,3306,3346">de</WORD>
<WORD coords="1111,3350,1323,3295,3349">millón</WORD>
<WORD coords="1358,3366,1372,3342,3359">,</WORD>
<WORD coords="1405,3352,1454,3300,3351">el</WORD>
<WORD coords="1492,3376,1766,3304,3355">segundo</WORD>
<WORD coords="1821,3363,1894,3308,3362">de</WORD>
<WORD coords="1954,3366,2049,3311,3364">las.</WORD>
<WORD coords="2093,3373,2338,3312,3368">decenas</WORD>
</LINE>
<LINE>
<WORD coords="179,3436,235,3383,3435">el</WORD>
<WORD coords="292,3442,491,3397,3440">tercer</WORD>
<WORD coords="541,3463,796,3390,3446">perkdo</WORD>
<WORD coords="853,3450,918,3416,3449">es</WORD>
<WORD coords="964,3452,1039,3397,3451">de</WORD>
<WORD coords="1099,3456,1191,3399,3455">ius</WORD>
<WORD coords="1241,3461,1493,3398,3458">billones</WORD>
<WORD coords="1522,3478,1536,3450,3470">,</WORD>
<WORD coords="1567,3462,1620,3409,3462">el</WORD>
<WORD coords="1684,3469,1892,3429,3467">cv^uc</WORD>
<WORD coords="1952,3472,2025,3416,3471">de</WORD>
<WORD coords="2089,3477,2183,3418,3475">los</WORD>
<WORD coords="2218,3485,2491,3380,3480">trl-Unjh</WORD>
</LINE>
<LINE>
<WORD coords="178,3542,231,3489,3541">el</WORD>
<WORD coords="291,3563,504,3492,3547">quinto</WORD>
<WORD coords="559,3554,635,3494,3552">de</WORD>
<WORD coords="679,3555,769,3498,3554">los</WORD>
<WORD coords="828,3564,1231,3505,3560">cuadrUlones</WORD>
<WORD coords="1286,3584,1323,3531,3578">y</WORD>
<WORD coords="1375,3567,1459,3533,3566">asi</WORD>
<WORD coords="1514,3569,1587,3533,3568">en</WORD>
<WORD coords="1643,3581,1941,3518,3574">adelante.</WORD>
<WORD coords="2018,3589,2372,3526,3585">Entendido</WORD>
<WORD coords="2419,3595,2518,3478,3594">es&apos;</WORD>
</LINE>
<LINE>
<WORD coords="172,3666,280,3603,3648">to,</WORD>
<WORD coords="336,3659,615,3609,3655">tenemos</WORD>
<WORD coords="684,3666,1001,3605,3662">suficiente</WORD>
<WORD coords="1062,3686,1199,3633,3668">para</WORD>
<WORD coords="1263,3675,1534,3636,3672">resolver</WORD>
<WORD coords="1589,3677,1638,3623,3676">el</WORD>
<WORD coords="1692,3703,2015,3625,3682">siguióte;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="342,3760,421,3709,3760">2r</WORD>
<WORD coords="427,3760,442,3747,3773">-</WORD>
<WORD coords="534,3771,847,3709,3766">Problema</WORD>
<WORD coords="884,3775,901,3737,3781">\</WORD>
<WORD coords="938,3796,1243,3718,3776">Espresar</WORD>
<WORD coords="1286,3801,1405,3736,3782">po-r</WORD>
<WORD coords="1465,3790,1681,3729,3786">escrito</WORD>
<WORD coords="1734,3790,1811,3743,3788">uñ</WORD>
<WORD coords="1877,3794,2117,3755,3791">numero</WORD>
<WORD coords="2181,3808,2510,3751,3802">enunciado</WORD>
</LINE>
<LINE>
<WORD coords="169,3886,289,3820,3860">por</WORD>
<WORD coords="335,3890,665,3813,3870">palabras^,</WORD>
<WORD coords="754,3838,766,3828,3854">&apos;</WORD>
<WORD coords="850,3863,857,3857,3863">•</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="339,3986,725,3920,3980">¿(solución,</WORD>
<WORD coords="823,3991,870,3940,3982">i.</WORD>
<WORD coords="900,3974,939,3939,4002">o</WORD>
<WORD coords="1010,4022,1400,3942,3999">Averigüese</WORD>
<WORD coords="1484,4017,1744,3954,4006">*uanto&gt;</WORD>
<WORD coords="1791,4026,2090,3955,4010">peiiedos-</WORD>
<WORD coords="2157,4011,2295,3957,4010">abra</WORD>
<WORD coords="2311,4014,2374,3978,4011">ra</WORD>
<WORD coords="2451,4017,2504,3967,4016">el</WORD>
</LINE>
<LINE>
<WORD coords="178,4086,434,4035,4080">numero</WORD>
<WORD coords="490,4098,834,4037,4094">enunciado</WORD>
<WORD coords="866,4121,1043,4050,4085">j.^c</WORD>
<WORD coords="1105,4116,1517,4050,4112">Comienza</WORD>
<WORD coords="1573,4117,1602,4077,4117">a</WORD>
<WORD coords="1659,4118,1916,4060,4117">escnbir</WORD>
<WORD coords="1975,4122,2048,4066,4122">de</WORD>
<WORD coords="2093,4125,2422,4063,4120">isciuierda</WORD>
<WORD coords="2474,4121,2500,4089,4121">a</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0017.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0018.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0018.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1854,580,1914,488,580">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="734,736,996,672,730">derecha</WORD>
<WORD coords="1056,724,1112,664,723">el</WORD>
<WORD coords="1164,740,1394,660,715">primer</WORD>
<WORD coords="1452,730,1766,648,704">guarismo</WORD>
<WORD coords="1824,698,2168,636,696">enunciado</WORD>
<WORD coords="2192,704,2210,680,704">,</WORD>
<WORD coords="2240,710,2358,650,690">que</WORD>
<WORD coords="2412,704,2678,628,686">siempre</WORD>
<WORD coords="2736,682,2800,642,682">es</WORD>
<WORD coords="2842,682,2918,624,682">de</WORD>
<WORD coords="2950,678,3050,636,678">or-</WORD>
</LINE>
<LINE>
<WORD coords="736,842,854,786,838">den</WORD>
<WORD coords="906,844,1228,774,828">superior,</WORD>
<WORD coords="1278,842,1314,786,837">y</WORD>
<WORD coords="1372,832,1746,762,812">coloqúense</WORD>
<WORD coords="1804,806,1894,752,806">los</WORD>
<WORD coords="1966,804,2178,748,800">demás</WORD>
<WORD coords="2234,798,2304,762,797">en</WORD>
<WORD coords="2354,798,2458,760,796">sus</WORD>
<WORD coords="2510,812,2752,738,791">lugares</WORD>
<WORD coords="2808,806,3050,744,788">respec</WORD>
</LINE>
<LINE>
<WORD coords="730,946,894,890,943">tivos</WORD>
<WORD coords="926,956,944,926,955">,</WORD>
<WORD coords="972,954,1164,896,933">según</WORD>
<WORD coords="1218,930,1432,872,926">hemos</WORD>
<WORD coords="1480,922,1664,860,919">dicho</WORD>
<WORD coords="1702,940,1842,860,926">(26)</WORD>
<WORD coords="1876,928,1892,902,928">,</WORD>
<WORD coords="1928,930,2238,848,908">poniendo</WORD>
<WORD coords="2290,906,2430,866,904">cero</WORD>
<WORD coords="2484,904,2558,866,903">en</WORD>
<WORD coords="2588,904,2642,846,902">el</WORD>
<WORD coords="2692,918,2870,842,895">lugar</WORD>
<WORD coords="2900,894,3054,838,892">don-</WORD>
</LINE>
<LINE>
<WORD coords="736,1056,814,1000,1054">de</WORD>
<WORD coords="858,1048,944,926,1046">no&apos;</WORD>
<WORD coords="976,1064,1134,986,1042">haya</WORD>
<WORD coords="1174,1040,1474,976,1033">unidades</WORD>
<WORD coords="1526,1028,1880,968,1023">inferiores.</WORD>
<WORD coords="1940,1018,2064,962,1017">Por</WORD>
<WORD coords="2110,1038,2414,954,1012">ejemplo:</WORD>
<WORD coords="2468,1010,2794,948,1006">Escríbase</WORD>
<WORD coords="2836,1000,2894,944,1000">el</WORD>
<WORD coords="2942,998,3058,960,997">nu-</WORD>
</LINE>
<LINE>
<WORD coords="736,1168,792,1128,1168">re</WORD>
<WORD coords="806,1162,908,1122,1160">ero</WORD>
<WORD coords="974,1158,1200,1088,1153">Cuatro</WORD>
<WORD coords="1258,1144,1362,1084,1142">mil</WORD>
<WORD coords="1416,1162,1756,1082,1133">quinientos</WORD>
<WORD coords="1798,1130,1962,1072,1129">ocho.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="908,1280,1080,1204,1260">Aqui</WORD>
<WORD coords="1130,1254,1394,1200,1251">observo</WORD>
<WORD coords="1444,1264,1562,1208,1244">que</WORD>
<WORD coords="1614,1242,1740,1196,1240">este</WORD>
<WORD coords="1794,1238,2052,1196,1235">numero</WORD>
<WORD coords="2080,1232,2158,1190,1230">«o</WORD>
<WORD coords="2206,1246,2348,1190,1226">pasa</WORD>
<WORD coords="2390,1224,2490,1166,1223">del</WORD>
<WORD coords="2528,1240,2754,1164,1219">primer</WORD>
<WORD coords="2782,1236,3064,1152,1210">periodo;</WORD>
</LINE>
<LINE>
<WORD coords="742,1392,1008,1318,1373">después</WORD>
<WORD coords="1066,1364,1308,1302,1359">escribo</WORD>
<WORD coords="1358,1356,1412,1298,1354">el</WORD>
<WORD coords="1466,1352,1506,1300,1352">4</WORD>
<WORD coords="1550,1368,1666,1308,1347">que</WORD>
<WORD coords="1724,1344,1900,1304,1342">como</WORD>
<WORD coords="1950,1338,2056,1302,1337">son</WORD>
<WORD coords="2114,1338,2382,1278,1332">millares</WORD>
<WORD coords="2412,1344,2430,1316,1342">,</WORD>
<WORD coords="2468,1328,2668,1272,1326">deben</WORD>
<WORD coords="2724,1338,2952,1278,1319">ocupar</WORD>
<WORD coords="3008,1314,3068,1256,1313">el</WORD>
</LINE>
<LINE>
<WORD coords="742,1482,956,1432,1477">coarto</WORD>
<WORD coords="1010,1490,1184,1414,1470">Ingar</WORD>
<WORD coords="1218,1478,1234,1432,1478">;</WORD>
<WORD coords="1282,1480,1394,1422,1459">por</WORD>
<WORD coords="1470,1472,1898,1394,1450">consiguiente</WORD>
<WORD coords="1958,1444,2144,1386,1442">faltan</WORD>
<WORD coords="2198,1440,2322,1394,1438">tres</WORD>
<WORD coords="2390,1456,2638,1378,1433">lugares</WORD>
<WORD coords="2698,1446,2814,1390,1426">que</WORD>
<WORD coords="2876,1420,3068,1366,1418">llenar</WORD>
</LINE>
<LINE>
<WORD coords="744,1604,1010,1532,1584">después</WORD>
<WORD coords="1070,1576,1166,1520,1576">de!</WORD>
<WORD coords="1218,1572,1280,1522,1571">4.</WORD>
<WORD coords="1340,1588,1490,1510,1564">Sigo</WORD>
<WORD coords="1538,1560,1924,1496,1556">escribiendo</WORD>
<WORD coords="1972,1550,2026,1496,1550">la</WORD>
<WORD coords="2074,1568,2314,1488,1545">palabra</WORD>
<WORD coords="2346,1568,2692,1486,1537">quinientos</WORD>
<WORD coords="2728,1532,2766,1476,1541">ó</WORD>
<WORD coords="2800,1544,2816,1518,1547">,</WORD>
<WORD coords="2858,1542,3072,1472,1525">loque</WORD>
</LINE>
<LINE>
<WORD coords="746,1696,810,1658,1695">es</WORD>
<WORD coords="870,1690,974,1564,1689">kT</WORD>
<WORD coords="998,1684,1222,1628,1681">mismo</WORD>
<WORD coords="1256,1696,1274,1664,1686">,</WORD>
<WORD coords="1298,1676,1466,1618,1672">cinco</WORD>
<WORD coords="1526,1668,1752,1610,1665">cientos</WORD>
<WORD coords="1798,1662,1828,1624,1662">o</WORD>
<WORD coords="1884,1660,2166,1610,1656">centenas</WORD>
<WORD coords="2216,1670,2332,1614,1651">que</WORD>
<WORD coords="2390,1648,2584,1586,1644">deben</WORD>
<WORD coords="2636,1640,2792,1594,1638">estar</WORD>
<WORD coords="2836,1634,2910,1596,1633">en</WORD>
<WORD coords="2950,1630,3070,1586,1629">ter-</WORD>
</LINE>
<LINE>
<WORD coords="748,1800,852,1760,1799">cer</WORD>
<WORD coords="908,1814,1124,1742,1792">lugar,</WORD>
<WORD coords="1158,1808,1198,1750,1797">y</WORD>
<WORD coords="1242,1786,1418,1742,1781">como</WORD>
<WORD coords="1474,1774,1528,1718,1774">el</WORD>
<WORD coords="1586,1772,1628,1722,1772">4</WORD>
<WORD coords="1682,1786,1880,1728,1768">ocupa</WORD>
<WORD coords="1940,1764,1996,1708,1763">el</WORD>
<WORD coords="2046,1762,2254,1714,1759">cuarto</WORD>
<WORD coords="2312,1776,2484,1702,1754">lugar</WORD>
<WORD coords="2518,1766,2534,1738,1766">,</WORD>
<WORD coords="2566,1768,2802,1690,1744">pondré</WORD>
<WORD coords="2858,1740,2888,1690,1752">á</WORD>
<WORD coords="2930,1736,3078,1698,1735">con-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="750,1914,1072,1844,1903">tiruacion</WORD>
<WORD coords="1126,1894,1184,1838,1893">el</WORD>
<WORD coords="1238,1890,1270,1840,1895">5</WORD>
<WORD coords="1306,1902,1322,1876,1902">,</WORD>
<WORD coords="1352,1906,1390,1850,1903">y</WORD>
<WORD coords="1450,1882,1664,1822,1879">tetldre</WORD>
<WORD coords="1710,1876,1786,1822,1875">45</WORD>
<WORD coords="1818,1874,1836,1838,1874">:</WORD>
<WORD coords="1870,1872,2052,1814,1870">ahora</WORD>
<WORD coords="2112,1866,2176,1828,1865">se</WORD>
<WORD coords="2216,1864,2272,1826,1864">m</WORD>
<WORD coords="2282,1864,2312,1826,1882">*</WORD>
<WORD coords="2372,1858,2396,1826,1858">S</WORD>
<WORD coords="2404,1858,2418,1824,1858">&apos;</WORD>
<WORD coords="2430,1880,2546,1820,1857">gUe</WORD>
<WORD coords="2590,1854,2846,1792,1850">€scribir</WORD>
<WORD coords="2886,1850,2944,1792,1849">la</WORD>
<WORD coords="2976,1864,3010,1806,1864">P</WORD>
<WORD coords="3014,1904,3076,1804,1904">f</WORD>
</LINE>
<LINE>
<WORD coords="756,2022,926,1962,2014">1-bra</WORD>
<WORD coords="978,2008,1118,1950,2006">ocho</WORD>
<WORD coords="1180,2018,1296,1958,1997">que</WORD>
<WORD coords="1340,1994,1448,1956,1993">son</WORD>
<WORD coords="1496,1990,1788,1928,1985">unidades</WORD>
<WORD coords="1834,2002,2220,1922,1977">primitivas,</WORD>
<WORD coords="2264,1990,2422,1930,1969">cuyo</WORD>
<WORD coords="2478,1982,2656,1910,1961">lugar</WORD>
<WORD coords="2708,1958,2774,1920,1957">es</WORD>
<WORD coords="2830,1954,2886,1898,1953">el</WORD>
<WORD coords="2940,1968,3066,1892,1950">pri-</WORD>
</LINE>
<LINE>
<WORD coords="750,2130,810,2000,2128">,¡</WORD>
<WORD coords="822,2124,884,2086,2122">er</WORD>
<WORD coords="892,2118,924,2084,2118">o</WORD>
<WORD coords="976,2116,1054,2060,2114">de</WORD>
<WORD coords="1110,2128,1440,2046,2105">izquierda</WORD>
<WORD coords="1488,2098,1520,2042,2097">á</WORD>
<WORD coords="1572,2096,1834,2034,2091">derecha</WORD>
<WORD coords="1868,2100,1882,2054,2100">;</WORD>
<WORD coords="1918,2104,2062,2046,2084">pero</WORD>
<WORD coords="2114,2080,2292,2040,2078">como</WORD>
<WORD coords="2338,2074,2394,2016,2073">el</WORD>
<WORD coords="2440,2070,2694,2028,2066">numero</WORD>
<WORD coords="2742,2080,2894,2006,2059">llega</WORD>
<WORD coords="2938,2056,3078,1998,2054">has-</WORD>
</LINE>
<LINE>
<WORD coords="758,2234,822,2186,2233">ta</WORD>
<WORD coords="880,2228,936,2172,2227">el</WORD>
<WORD coords="996,2224,1210,2174,2220">cuarto</WORD>
<WORD coords="1254,2232,1428,2160,2210">lugar</WORD>
<WORD coords="1462,2224,1480,2194,2214">,</WORD>
<WORD coords="1522,2204,1656,2162,2202">sera</WORD>
<WORD coords="1696,2198,2010,2136,2194">necesario</WORD>
<WORD coords="2066,2190,2256,2122,2188">Herir</WORD>
<WORD coords="2298,2184,2410,2142,2180">con</WORD>
<WORD coords="2458,2178,2542,2138,2176">un</WORD>
<WORD coords="2592,2172,2732,2130,2170">cero</WORD>
<WORD coords="2776,2164,2830,2108,2163">el</WORD>
<WORD coords="2880,2162,3080,2104,2160">hueco</WORD>
</LINE>
<LINE>
<WORD coords="764,2340,840,2282,2339">de</WORD>
<WORD coords="896,2334,984,2280,2332">las</WORD>
<WORD coords="1038,2328,1302,2274,2323">decenas</WORD>
<WORD coords="1356,2338,1394,2280,2334">y</WORD>
<WORD coords="1450,2330,1632,2256,2311">luego</WORD>
<WORD coords="1680,2306,1918,2248,2302">colocar</WORD>
<WORD coords="1976,2314,2240,2238,2293">después</WORD>
<WORD coords="2286,2286,2338,2230,2285">el</WORD>
<WORD coords="2400,2284,2434,2236,2292">8</WORD>
<WORD coords="2460,2300,2476,2270,2300">,</WORD>
<WORD coords="2504,2302,2542,2244,2298">y</WORD>
<WORD coords="2588,2280,2940,2218,2272">tendremos</WORD>
<WORD coords="2988,2266,3082,2226,2266">es-</WORD>
</LINE>
<LINE>
<WORD coords="760,2448,922,2390,2443">crito</WORD>
<WORD coords="978,2436,1162,2376,2433">dicho</WORD>
<WORD coords="1220,2428,1478,2382,2424">numero</WORD>
<WORD coords="1530,2418,1606,2360,2417">de</WORD>
<WORD coords="1646,2414,1774,2366,2413">esta</WORD>
<WORD coords="1822,2408,2066,2364,2404">manera</WORD>
<WORD coords="2098,2400,2112,2364,2407">:</WORD>
<WORD coords="2162,2398,2346,2344,2398">4508.</WORD>
<WORD coords="2754,2440,2768,2428,2440">_</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="930,2550,992,2494,2549">Si</WORD>
<WORD coords="1054,2546,1108,2490,2545">el</WORD>
<WORD coords="1162,2544,1420,2500,2539">rumero</WORD>
<WORD coords="1470,2550,1800,2478,2525">propuesto</WORD>
<WORD coords="1856,2524,2128,2470,2516">constase</WORD>
<WORD coords="2182,2510,2258,2452,2509">de</WORD>
<WORD coords="2334,2506,2590,2442,2500">muchos</WORD>
<WORD coords="2642,2512,2972,2424,2482">periodos,</WORD>
<WORD coords="3028,2474,3090,2424,2473">al</WORD>
</LINE>
<LINE>
<WORD coords="766,2668,846,2606,2664">fin</WORD>
<WORD coords="908,2658,984,2602,2657">de</WORD>
<WORD coords="1040,2652,1192,2594,2650">cada</WORD>
<WORD coords="1260,2664,1518,2582,2640">periodo</WORD>
<WORD coords="1578,2632,1642,2596,2632">se</WORD>
<WORD coords="1704,2648,1934,2572,2626">pondrá</WORD>
<WORD coords="1990,2620,2104,2582,2619">nna</WORD>
<WORD coords="2158,2614,2332,2576,2612">coma</WORD>
<WORD coords="2366,2622,2382,2596,2622">,</WORD>
<WORD coords="2422,2622,2560,2566,2602">para</WORD>
<WORD coords="2614,2600,2810,2546,2596">evitar</WORD>
<WORD coords="2870,2594,3092,2534,2585">epota-</WORD>
</LINE>
<LINE>
<WORD coords="784,2718,788,2714,2718">■</WORD>
<WORD coords="802,2770,902,2714,2768">icn</WORD>
<WORD coords="932,2746,944,2732,2746">.</WORD>
<WORD coords="996,2762,1032,2726,2762">v</WORD>
<WORD coords="1114,2776,1154,2722,2776">g</WORD>
<WORD coords="1214,2754,1540,2682,2748">Escribase</WORD>
<WORD coords="1590,2742,1642,2684,2741">el</WORD>
<WORD coords="1688,2736,1944,2694,2733">numero</WORD>
<WORD coords="2002,2728,2358,2664,2720">veinticinco</WORD>
<WORD coords="2412,2712,2652,2654,2706">billones</WORD>
<WORD coords="2686,2714,2704,2686,2716">,</WORD>
<WORD coords="2754,2718,3094,2640,2688">qmnuntos</WORD>
</LINE>
<LINE>
<WORD coords="768,2880,892,2822,2876">teis</WORD>
<WORD coords="930,2872,1058,2754,2868">&apos;mil</WORD>
<WORD coords="1098,2866,1396,2800,2860">veintidós</WORD>
<WORD coords="1456,2850,1724,2792,2846">millones</WORD>
<WORD coords="1764,2852,1780,2830,2845">,</WORD>
<WORD coords="1824,2838,2172,2782,2833">seteaentos</WORD>
<WORD coords="2228,2824,2334,2766,2822">mil</WORD>
<WORD coords="2384,2820,2750,2756,2811">ochocientos</WORD>
<WORD coords="2802,2802,2948,2756,2799">tres.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="938,2992,1112,2916,2975">Aqui</WORD>
<WORD coords="1162,2970,1424,2910,2964">observo</WORD>
<WORD coords="1462,2976,1582,2918,2955">que</WORD>
<WORD coords="1626,2952,1680,2898,2951">el</WORD>
<WORD coords="1730,2950,1990,2906,2945">numero</WORD>
<WORD coords="2034,2958,2190,2882,2936">llega</WORD>
<WORD coords="2216,2934,2400,2874,2928">hasta</WORD>
<WORD coords="2452,2922,2506,2868,2921">el</WORD>
<WORD coords="2558,2936,2730,2864,2915">lugar</WORD>
<WORD coords="2778,2908,3104,2844,2904">deh.de.</WORD>
</LINE>
<LINE>
<WORD coords="772,3096,956,3054,3092">cenas</WORD>
<WORD coords="1000,3088,1096,3028,3085">de,</WORD>
<WORD coords="1156,3080,1356,3036,3077">tercer</WORD>
<WORD coords="1412,3088,1670,3004,3064">periodo</WORD>
<WORD coords="1704,3072,1720,3046,3072">,</WORD>
<WORD coords="1752,3072,1868,3016,3052">que</WORD>
<WORD coords="1928,3046,1992,3010,3046">es</WORD>
<WORD coords="2032,3044,2086,2988,3042">el</WORD>
<WORD coords="2132,3060,2412,2978,3036">segundo</WORD>
<WORD coords="2468,3046,2642,2972,3023">lugar</WORD>
<WORD coords="2692,3018,2994,2954,3012">contando</WORD>
<WORD coords="3026,3008,3104,2950,3007">de</WORD>
</LINE>
<LINE>
<WORD coords="778,3202,1044,3140,3196">deceba</WORD>
<WORD coords="1092,3198,1538,3120,3180">.izquierda;</WORD>
<WORD coords="1564,3172,1856,3106,3164">escribo,</WORD>
<WORD coords="1904,3174,2104,3116,3152">pues,</WORD>
<WORD coords="2152,3144,2204,3090,3144">el</WORD>
<WORD coords="2262,3140,2336,3090,3141">25</WORD>
<WORD coords="2396,3158,2432,3100,3155">y</WORD>
<WORD coords="2490,3152,2690,3090,3128">pongo</WORD>
<WORD coords="2740,3126,2858,3086,3124">una</WORD>
<WORD coords="2908,3118,3080,3080,3118">coma</WORD>
</LINE>
<LINE>
<WORD coords="782,3310,944,3252,3306">Paso</WORD>
<WORD coords="994,3308,1260,3244,3294">después</WORD>
<WORD coords="1320,3286,1372,3228,3285">al</WORD>
<WORD coords="1430,3298,1688,3216,3274">periodo</WORD>
<WORD coords="1744,3264,1818,3210,3264">de</WORD>
<WORD coords="1874,3262,1966,3206,3260">los</WORD>
<WORD coords="2016,3258,2300,3196,3250">millones</WORD>
<WORD coords="2342,3264,2382,3204,3261">y</WORD>
<WORD coords="2430,3252,2716,3180,3237">escribo,</WORD>
<WORD coords="2766,3252,2958,3190,3228">según</WORD>
<WORD coords="3014,3226,3106,3170,3225">la,</WORD>
</LINE>
<LINE>
<WORD coords="784,3416,896,3372,3413">reK</WORD>
<WORD coords="900,3406,986,3354,3406">&lt;as</WORD>
<WORD coords="1042,3402,1266,3344,3400">dadas,</WORD>
<WORD coords="1318,3392,1402,3334,3390">las</WORD>
<WORD coords="1452,3388,1752,3320,3379">unidades</WORD>
<WORD coords="1812,3366,1886,3328,3366">en</WORD>
<WORD coords="1946,3362,2048,3324,3361">sus</WORD>
<WORD coords="2096,3376,2338,3304,3352">lugares</WORD>
<WORD coords="2386,3364,2806,3294,3342">respectivos,</WORD>
<WORD coords="2852,3354,3106,3288,3332">pouien-</WORD>
</LINE>
<LINE>
<WORD coords="786,3518,870,3462,3517">do</WORD>
<WORD coords="992,3512,1080,3346,3512">J</WORD>
<WORD coords="1122,3506,1196,3470,3506">en</WORD>
<WORD coords="1250,3504,1362,3462,3500">una</WORD>
<WORD coords="1424,3496,1598,3450,3492">coma</WORD>
<WORD coords="1668,3482,1990,3412,3472">concluido</WORD>
<WORD coords="2038,3462,2092,3408,3462">el</WORD>
<WORD coords="2148,3476,2404,3398,3453">periodo</WORD>
<WORD coords="2464,3452,2484,3414,3458">,</WORD>
<WORD coords="2546,3464,2586,3410,3464">y</WORD>
<WORD coords="2672,3440,2760,3402,3440">as,</WORD>
<WORD coords="2810,3440,3110,3394,3435">continuo</WORD>
</LINE>
<LINE>
<WORD coords="784,3626,832,3462,3623">Í</WORD>
<WORD coords="872,3620,926,3576,3620">st</WORD>
<WORD coords="932,3618,964,3582,3618">a</WORD>
<WORD coords="1024,3616,1278,3554,3611">escribir</WORD>
<WORD coords="1336,3606,1392,3550,3606">e,</WORD>
<WORD coords="1446,3620,1700,3532,3595">periodo</WORD>
<WORD coords="1746,3586,1822,3526,3584">de</WORD>
<WORD coords="1878,3582,1968,3520,3582">ta.</WORD>
<WORD coords="2010,3570,2312,3506,3566">««dad.,</WORD>
<WORD coords="2362,3580,2704,3504,3550">primitivas</WORD>
<WORD coords="2736,3564,2758,3532,3570">,</WORD>
<WORD coords="2816,3546,2998,3504,3543">como</WORD>
<WORD coords="3042,3542,3110,3500,3541">se</WORD>
</LINE>
<LINE>
<WORD coords="790,3734,866,3692,3733">ve</WORD>
<WORD coords="912,3728,984,3688,3727">en</WORD>
<WORD coords="1044,3724,1172,3678,3721">esta</WORD>
<WORD coords="1230,3736,1564,3670,3712">espreston.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1582,3814,1658,3762,3813">25</WORD>
<WORD coords="1694,3826,1710,3798,3818">,</WORD>
<WORD coords="1734,3810,1976,3750,3806">506022</WORD>
<WORD coords="2008,3810,2022,3784,3803">,</WORD>
<WORD coords="2052,3796,2312,3734,3789">700803.</WORD>
</LINE>
<LINE>
<WORD coords="958,3944,1444,3872,3933">Demostración.</WORD>
<WORD coords="1544,3922,1640,3864,3919">En</WORD>
<WORD coords="1682,3914,1770,3860,3913">las</WORD>
<WORD coords="1818,3928,2018,3852,3908">reglas</WORD>
<WORD coords="2078,3902,2268,3844,3897">dadas</WORD>
<WORD coords="2316,3890,2396,3852,3890">no</WORD>
<WORD coords="2466,3884,2682,3826,3878">hemos</WORD>
<WORD coords="2722,3874,2924,3808,3866">hecho</WORD>
<WORD coords="2966,3860,3098,3818,3858">mas</WORD>
</LINE>
<LINE>
<WORD coords="798,4064,918,4016,4058">aue</WORD>
<WORD coords="980,4064,1190,3984,4041">seguir</WORD>
<WORD coords="1246,4034,1300,3982,4033">el</WORD>
<WORD coords="1368,4050,1672,3970,4024">principio</WORD>
<WORD coords="1726,4022,2156,3950,4012">fundamental</WORD>
<WORD coords="2210,4026,2352,3942,4008">(26)</WORD>
<WORD coords="2402,3992,2478,3956,3991">en</WORD>
<WORD coords="2530,4004,2774,3940,3979">que.se</WORD>
<WORD coords="2824,3972,3014,3912,3968">funda</WORD>
<WORD coords="3072,3964,3136,3908,3963">el</WORD>
</LINE>
<LINE>
<WORD coords="798,4170,1088,4008,4167">ZJ</WORD>
<WORD coords="1124,4162,1408,4084,4142">Arábigo</WORD>
<WORD coords="1442,4156,1458,4122,4156">,</WORD>
<WORD coords="1494,4156,1648,4092,4132">pues</WORD>
<WORD coords="1702,4128,2052,4070,4123">colocamos</WORD>
<WORD coords="2100,4114,2186,4058,4113">las</WORD>
<WORD coords="2242,4110,2546,4040,4102">unidades</WORD>
<WORD coords="2616,4098,2814,4046,4092">a.*».</WORD>
<WORD coords="2874,4082,2982,4038,4093">.«</WORD>
<WORD coords="3036,4092,3134,4008,4089">**</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0018.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0019.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0019.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1232,644,1304,558,644">9</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="102,762,282,698,740">gares</WORD>
<WORD coords="338,762,930,690,746">correspondientes,</WORD>
<WORD coords="1020,758,1116,698,758">La</WORD>
<WORD coords="1162,776,1368,722,760">coma,</WORD>
<WORD coords="1402,784,1522,728,766">que</WORD>
<WORD coords="1582,774,1948,712,771">ordenamos</WORD>
<WORD coords="1990,778,2058,736,777">se</WORD>
<WORD coords="2106,800,2302,738,780">ponga</WORD>
<WORD coords="2350,786,2410,726,784">ai</WORD>
</LINE>
<LINE>
<WORD coords="100,842,180,786,842">fin</WORD>
<WORD coords="222,846,298,788,845">de</WORD>
<WORD coords="352,850,500,790,847">cada</WORD>
<WORD coords="552,870,810,796,852">periodo</WORD>
<WORD coords="840,872,856,846,869">,</WORD>
<WORD coords="906,860,1036,804,858">solo</WORD>
<WORD coords="1082,864,1146,826,863">es</WORD>
<WORD coords="1204,886,1312,828,866">por</WORD>
<WORD coords="1358,876,1732,816,871">comodidad</WORD>
<WORD coords="1762,892,1780,862,885">,</WORD>
<WORD coords="1810,878,1838,824,878">á</WORD>
<WORD coords="1878,880,1958,820,880">fin</WORD>
<WORD coords="2014,882,2090,824,882">de</WORD>
<WORD coords="2142,890,2402,848,886">conocer</WORD>
</LINE>
<LINE>
<WORD coords="102,948,216,908,947">con</WORD>
<WORD coords="268,950,398,912,949">mas</WORD>
<WORD coords="456,956,732,896,953">claridad</WORD>
<WORD coords="786,962,844,906,961">el</WORD>
<WORD coords="900,986,1072,908,965">lugar</WORD>
<WORD coords="1130,972,1206,914,971">de</WORD>
<WORD coords="1254,972,1342,916,971">las</WORD>
<WORD coords="1382,980,1682,918,976">unidades</WORD>
<WORD coords="1710,996,1728,966,992">,</WORD>
<WORD coords="1768,988,2030,924,985">decenas</WORD>
<WORD coords="2086,1010,2126,952,1002">y</WORD>
<WORD coords="2172,994,2264,938,992">asi</WORD>
<WORD coords="2324,994,2404,956,994">en</WORD>
</LINE>
<LINE>
<WORD coords="102,1054,378,994,1052">adelante</WORD>
<WORD coords="414,1068,430,1022,1068">;</WORD>
<WORD coords="488,1080,668,1002,1056">luego</WORD>
<WORD coords="722,1066,852,1004,1058">£•?&lt;;•</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="264,1158,360,1110,1164">28.</WORD>
<WORD coords="456,1172,796,1102,1165">Corolario.</WORD>
<WORD coords="886,1196,1106,1116,1175">Luego</WORD>
<WORD coords="1164,1200,1328,1134,1180">para</WORD>
<WORD coords="1382,1184,1504,1126,1183">leer</WORD>
<WORD coords="1556,1186,1638,1146,1186">un</WORD>
<WORD coords="1714,1196,1958,1150,1192">numero</WORD>
<WORD coords="2012,1202,2232,1144,1200">escrito</WORD>
<WORD coords="2284,1210,2396,1164,1206">con</WORD>
</LINE>
<LINE>
<WORD coords="94,1262,336,1204,1261">muchas</WORD>
<WORD coords="384,1284,578,1208,1268">cifras</WORD>
<WORD coords="610,1284,626,1256,1285">,</WORD>
<WORD coords="682,1290,1008,1220,1276">podremos</WORD>
<WORD coords="1066,1286,1344,1226,1283">valemos</WORD>
<WORD coords="1400,1288,1500,1232,1287">del</WORD>
<WORD coords="1558,1294,1818,1236,1292">artificio</WORD>
<WORD coords="1874,1320,2202,1246,1303">siguiente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="262,1372,568,1310,1368">Divídase</WORD>
<WORD coords="616,1376,670,1320,1376">el</WORD>
<WORD coords="728,1386,982,1340,1382">numero</WORD>
<WORD coords="1042,1388,1116,1330,1387">de</WORD>
<WORD coords="1170,1390,1298,1344,1388">tres</WORD>
<WORD coords="1328,1392,1402,1354,1390">en</WORD>
<WORD coords="1450,1394,1570,1348,1393">tres</WORD>
<WORD coords="1628,1418,1970,1344,1401">guarismos</WORD>
<WORD coords="2028,1426,2138,1370,1408">por</WORD>
<WORD coords="2186,1418,2394,1356,1414">medio</WORD>
</LINE>
<LINE>
<WORD coords="90,1468,172,1410,1467">&lt;le</WORD>
<WORD coords="240,1476,448,1432,1471">comas</WORD>
<WORD coords="474,1490,490,1464,1496">,</WORD>
<WORD coords="542,1498,924,1430,1482">empezando</WORD>
<WORD coords="978,1490,1056,1434,1489">de</WORD>
<WORD coords="1140,1492,1196,1436,1492">la</WORD>
<WORD coords="1250,1498,1508,1438,1496">derecha</WORD>
<WORD coords="1544,1516,1566,1466,1510">;</WORD>
<WORD coords="1622,1504,1796,1446,1502">sobre</WORD>
<WORD coords="1854,1508,1908,1452,1507">el</WORD>
<WORD coords="1958,1530,2184,1454,1512">primer</WORD>
<WORD coords="2240,1540,2392,1480,1520">gua-</WORD>
</LINE>
<LINE>
<WORD coords="100,1574,290,1516,1572">rismo</WORD>
<WORD coords="348,1578,428,1520,1577">de</WORD>
<WORD coords="478,1580,530,1524,1580">la</WORD>
<WORD coords="596,1586,656,1536,1578">2.</WORD>
<WORD coords="680,1564,718,1530,1599">«</WORD>
<WORD coords="792,1594,1064,1532,1591">división</WORD>
<WORD coords="1118,1622,1386,1558,1600">póngase</WORD>
<WORD coords="1440,1604,1520,1566,1603">un</WORD>
<WORD coords="1578,1624,1766,1562,1607">punto</WORD>
<WORD coords="1802,1626,1820,1598,1619">,</WORD>
<WORD coords="1864,1612,1946,1574,1611">un</WORD>
<WORD coords="2004,1618,2030,1568,1618">1</WORD>
<WORD coords="2096,1624,2274,1564,1620">sobre</WORD>
<WORD coords="2328,1628,2388,1568,1627">el</WORD>
</LINE>
<LINE>
<WORD coords="92,1692,358,1620,1676">primero</WORD>
<WORD coords="388,1684,466,1626,1683">de</WORD>
<WORD coords="494,1688,548,1630,1686">la</WORD>
<WORD coords="580,1690,634,1638,1694">3.</WORD>
<WORD coords="658,1672,700,1636,1688">«</WORD>
<WORD coords="748,1698,1014,1636,1695">división</WORD>
<WORD coords="1044,1714,1062,1686,1709">,</WORD>
<WORD coords="1102,1704,1182,1664,1703">un</WORD>
<WORD coords="1242,1720,1428,1662,1706">punto</WORD>
<WORD coords="1484,1712,1662,1654,1710">sobre</WORD>
<WORD coords="1704,1714,1758,1660,1713">el</WORD>
<WORD coords="1814,1718,1892,1658,1717">de</WORD>
<WORD coords="1946,1720,2002,1662,1719">la</WORD>
<WORD coords="2042,1724,2102,1674,1724">4.</WORD>
<WORD coords="2126,1740,2210,1668,1724">«,</WORD>
<WORD coords="2234,1728,2312,1690,1727">un</WORD>
<WORD coords="2344,1732,2384,1680,1732">2</WORD>
</LINE>
<LINE>
<WORD coords="94,1786,274,1726,1783">sobre</WORD>
<WORD coords="320,1788,374,1734,1787">el</WORD>
<WORD coords="424,1792,508,1734,1791">de</WORD>
<WORD coords="552,1796,604,1740,1794">la</WORD>
<WORD coords="658,1798,718,1750,1798">5.</WORD>
<WORD coords="742,1780,780,1746,1796">«</WORD>
<WORD coords="850,1822,894,1766,1817">y</WORD>
<WORD coords="938,1806,1028,1750,1804">asi</WORD>
<WORD coords="1076,1808,1148,1770,1808">en</WORD>
<WORD coords="1202,1834,1516,1756,1814">adelante,</WORD>
<WORD coords="1570,1828,1926,1768,1824">alternando</WORD>
<WORD coords="1982,1846,2198,1786,1829">puntos</WORD>
<WORD coords="2228,1852,2266,1796,1843">y</WORD>
<WORD coords="2298,1834,2388,1778,1833">ci-</WORD>
</LINE>
<LINE>
<WORD coords="90,1888,218,1828,1886">fras</WORD>
<WORD coords="252,1904,272,1856,1911">;</WORD>
<WORD coords="344,1896,498,1838,1895">léase</WORD>
<WORD coords="536,1912,552,1886,1915">,</WORD>
<WORD coords="604,1908,952,1842,1903">finalmente</WORD>
<WORD coords="984,1928,1002,1896,1923">,</WORD>
<WORD coords="1056,1916,1206,1856,1914">cada</WORD>
<WORD coords="1260,1924,1528,1862,1920">divisioi*</WORD>
<WORD coords="1582,1928,1760,1888,1927">como</WORD>
<WORD coords="1810,1930,1860,1876,1930">si</WORD>
<WORD coords="1904,1936,2202,1878,1934">estubiera</WORD>
<WORD coords="2232,1958,2390,1884,1936">sola,</WORD>
</LINE>
<LINE>
<WORD coords="90,2000,434,1936,1995">añadiendo</WORD>
<WORD coords="486,2004,544,1946,2003">la</WORD>
<WORD coords="594,2006,708,1968,2006">voz</WORD>
<WORD coords="768,2010,876,1954,2009">mil</WORD>
<WORD coords="902,2028,920,1998,2024">,</WORD>
<WORD coords="976,2018,1178,1958,2015">donde</WORD>
<WORD coords="1234,2042,1388,1962,2022">haya</WORD>
<WORD coords="1442,2046,1628,1984,2029">punto</WORD>
<WORD coords="1660,2042,1680,1998,2040">;</WORD>
<WORD coords="1718,2038,1922,1978,2034">millón</WORD>
<WORD coords="1972,2040,2182,1982,2038">dondo</WORD>
<WORD coords="2220,2058,2382,1984,2040">haya</WORD>
</LINE>
<LINE>
<WORD coords="92,2094,124,2042,2094">J</WORD>
<WORD coords="160,2104,178,2062,2115">;</WORD>
<WORD coords="234,2104,418,2040,2099">billón</WORD>
<WORD coords="474,2110,676,2048,2108">donde</WORD>
<WORD coords="760,2136,918,2056,2115">haya</WORD>
<WORD coords="974,2120,1010,2070,2123">2</WORD>
<WORD coords="1044,2138,1062,2108,2132">,</WORD>
<WORD coords="1110,2126,1242,2064,2122">fcPc.</WORD>
<WORD coords="1272,2144,1294,2112,2134">,</WORD>
<WORD coords="1350,2134,1526,2090,2132">como</WORD>
<WORD coords="1592,2140,1658,2098,2138">se</WORD>
<WORD coords="1712,2142,1786,2100,2141">ve</WORD>
<WORD coords="1838,2142,1914,2102,2142">tu</WORD>
<WORD coords="1966,2146,2024,2086,2145">el</WORD>
<WORD coords="2072,2162,2380,2086,2146">siguiente</WORD>
</LINE>
<LINE>
<WORD coords="84,2206,350,2156,2203">numero</WORD>
<WORD coords="378,2208,396,2170,0">:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="602,2318,638,2268,2318">3</WORD>
<WORD coords="808,2328,830,2308,2333">•</WORD>
<WORD coords="992,2334,1030,2282,2334">2</WORD>
<WORD coords="1208,2340,1230,2320,2335">.</WORD>
<WORD coords="1392,2344,1416,2294,2344">i</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="600,2422,634,2372,2433">3</WORD>
<WORD coords="670,2440,688,2412,2442">,</WORD>
<WORD coords="714,2430,834,2376,2432">456</WORD>
<WORD coords="868,2446,884,2420,2445">,</WORD>
<WORD coords="918,2436,1034,2380,2437">700</WORD>
<WORD coords="1062,2454,1080,2426,2449">,</WORD>
<WORD coords="1106,2444,1228,2390,2442">029</WORD>
<WORD coords="1262,2460,1280,2430,2454">,</WORD>
<WORD coords="1310,2448,1432,2396,2447">500</WORD>
<WORD coords="1460,2464,1476,2438,2459">,</WORD>
<WORD coords="1504,2454,1626,2400,2452">034</WORD>
<WORD coords="1654,2472,1672,2442,2467">,</WORD>
<WORD coords="1700,2462,1840,2402,2460">671.</WORD>
</LINE>
<LINE>
<WORD coords="238,2532,382,2454,2522">Que</WORD>
<WORD coords="430,2526,496,2486,2525">se</WORD>
<WORD coords="552,2530,646,2470,2528">lee</WORD>
<WORD coords="682,2534,696,2496,2543">:</WORD>
<WORD coords="766,2538,914,2476,2535">Tres</WORD>
<WORD coords="972,2548,1242,2488,2544">trillones</WORD>
<WORD coords="1272,2566,1288,2538,2565">,</WORD>
<WORD coords="1342,2564,1782,2506,2557">cuatrocientos</WORD>
<WORD coords="1816,2570,2128,2512,2567">cincuenta</WORD>
<WORD coords="2176,2590,2220,2532,2583">y</WORD>
<WORD coords="2256,2576,2380,2516,2572">sei»</WORD>
</LINE>
<LINE>
<WORD coords="74,2620,186,2564,2619">mtl</WORD>
<WORD coords="210,2632,560,2578,2626">setecientos</WORD>
<WORD coords="592,2654,856,2576,2636">billones,</WORD>
<WORD coords="884,2654,1260,2590,2648">veintinueve</WORD>
<WORD coords="1314,2662,1426,2602,2658">mil</WORD>
<WORD coords="1466,2684,1806,2610,2664">quinientos</WORD>
<WORD coords="1844,2678,2110,2616,2675">millones</WORD>
<WORD coords="2140,2696,2160,2664,2694">,</WORD>
<WORD coords="2186,2692,2376,2632,2684">trem</WORD>
</LINE>
<LINE>
<WORD coords="76,2726,142,2676,2724">ta</WORD>
<WORD coords="188,2746,232,2688,2748">y</WORD>
<WORD coords="282,2734,488,2686,2731">cuatro</WORD>
<WORD coords="536,2736,644,2684,2736">mil</WORD>
<WORD coords="708,2752,1058,2688,2745">seiscientos</WORD>
<WORD coords="1100,2762,1332,2712,2758">setenta</WORD>
<WORD coords="1384,2784,1428,2726,2778">y</WORD>
<WORD coords="1480,2772,1616,2728,2769">uno.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="230,2834,326,2780,2841">29.</WORD>
<WORD coords="416,2846,676,2782,2841">Escolio.</WORD>
<WORD coords="762,2852,890,2792,2850">Los</WORD>
<WORD coords="946,2866,1286,2798,2861">Franceces</WORD>
<WORD coords="1350,2874,1402,2770,2872">ai</WORD>
<WORD coords="1462,2880,1664,2820,2876">millar</WORD>
<WORD coords="1718,2882,1796,2822,2881">de</WORD>
<WORD coords="1860,2888,2082,2830,2887">millón</WORD>
<WORD coords="2150,2896,2374,2834,2893">llaman</WORD>
</LINE>
<LINE>
<WORD coords="354,2942,386,2886,2958">á</WORD>
<WORD coords="436,2946,556,2906,2946">«ue</WORD>
<WORD coords="564,2946,586,2912,2946">S</WORD>
<WORD coords="592,2950,686,2904,2948">tro</WORD>
<WORD coords="746,2958,930,2896,2955">billón</WORD>
<WORD coords="976,2966,1196,2906,2963">llaman</WORD>
<WORD coords="1250,2978,1460,2918,2973">trilhn</WORD>
<WORD coords="1514,2998,1556,2942,2991">y</WORD>
<WORD coords="1604,2984,1692,2928,2982">asi</WORD>
<WORD coords="1746,2988,1818,2950,2988">en</WORD>
<WORD coords="1870,2996,2162,2934,2992">adelante.</WORD>
<WORD coords="2256,2998,2370,2942,2998">Es.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="76,3034,138,2988,3034">te</WORD>
<WORD coords="198,3046,418,3002,3042">m.smo</WORD>
<WORD coords="476,3056,724,2998,3052">método</WORD>
<WORD coords="768,3062,846,3002,3060">ha</WORD>
<WORD coords="902,3084,1208,3010,3068">adoptado</WORD>
<WORD coords="1258,3082,1528,3024,3080">Avelino</WORD>
<WORD coords="1580,3090,1738,3030,3087">Diaz</WORD>
<WORD coords="1772,3106,1792,3076,3103">,</WORD>
<WORD coords="1830,3100,2226,3038,3095">Catedrático</WORD>
<WORD coords="2282,3104,2364,3044,3103">de</WORD>
</LINE>
<LINE>
<WORD coords="80,3142,328,3080,3140">Fis.co.</WORD>
<WORD coords="344,3162,772,3090,3154">Matemáticas</WORD>
<WORD coords="828,3164,900,3128,3164">en</WORD>
<WORD coords="956,3172,1014,3112,3170">la</WORD>
<WORD coords="1066,3186,1492,3116,3180">Universidad</WORD>
<WORD coords="1548,3190,1624,3132,3189">de</WORD>
<WORD coords="1682,3220,2202,3134,3197">Buenos-Ayres.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="238,3248,336,3196,3255">30.</WORD>
<WORD coords="430,3256,554,3198,3254">Del</WORD>
<WORD coords="606,3286,910,3206,3264">principio</WORD>
<WORD coords="950,3280,1204,3224,3276">sentado</WORD>
<WORD coords="1260,3304,1408,3232,3294">(26)</WORD>
<WORD coords="1466,3292,1532,3254,3291">se</WORD>
<WORD coords="1580,3314,1754,3238,3294">sigue</WORD>
<WORD coords="1784,3314,1804,3286,3314">,</WORD>
<WORD coords="1858,3322,1976,3264,3302">que</WORD>
<WORD coords="2030,3306,2112,3266,3306">un</WORD>
<WORD coords="2166,3310,2366,3268,3309">nume.</WORD>
</LINE>
<LINE>
<WORD coords="74,3344,146,3304,3344">ro</WORD>
<WORD coords="188,3370,384,3298,3351">queda</WORD>
<WORD coords="434,3362,620,3298,3359">hecho</WORD>
<WORD coords="674,3366,748,3320,3366">w</WORD>
<WORD coords="796,3376,962,3334,3374">veces</WORD>
<WORD coords="1014,3404,1226,3344,3384">mayor</WORD>
<WORD coords="1278,3392,1352,3336,3391">de</WORD>
<WORD coords="1402,3394,1456,3336,3394">h</WORD>
<WORD coords="1512,3418,1626,3358,3397">que</WORD>
<WORD coords="1692,3420,1844,3362,3402">era,</WORD>
<WORD coords="1892,3406,2000,3366,3406">con</WORD>
<WORD coords="2048,3414,2168,3356,3411">solo</WORD>
<WORD coords="2216,3416,2368,3356,3415">aña-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="272,3460,352,3420,3459">un</WORD>
<WORD coords="410,3466,544,3426,3464">cero</WORD>
<WORD coords="634,3472,672,3436,3472">a</WORD>
<WORD coords="718,3476,790,3438,3475">su</WORD>
<WORD coords="850,3490,1122,3424,3483">derecha.</WORD>
<WORD coords="1208,3494,1274,3436,3494">Si</WORD>
<WORD coords="1332,3498,1388,3440,3498">al</WORD>
<WORD coords="1450,3506,1704,3462,3503">numero</WORD>
<WORD coords="1760,3510,1880,3460,3510">425</WORD>
<WORD coords="1938,3514,1990,3456,3512">le</WORD>
<WORD coords="2042,3524,2366,3462,3519">añadimos</WORD>
</LINE>
<LINE>
<WORD coords="64,3554,146,3516,3554">«n</WORD>
<WORD coords="196,3580,386,3522,3560">cero,</WORD>
<WORD coords="430,3572,562,3532,3570">sera</WORD>
<WORD coords="616,3594,812,3532,3583">4250,</WORD>
<WORD coords="862,3604,976,3550,3588">que</WORD>
<WORD coords="1034,3594,1098,3556,3593">es</WORD>
<WORD coords="1158,3596,1230,3546,3596">10</WORD>
<WORD coords="1282,3604,1458,3564,3601">veces</WORD>
<WORD coords="1520,3630,1732,3570,3609">mayor</WORD>
<WORD coords="1792,3632,1910,3578,3617">que</WORD>
<WORD coords="1966,3618,2022,3562,3618">el</WORD>
<WORD coords="2094,3640,2360,3566,3623">primiti.</WORD>
</LINE>
<LINE>
<WORD coords="64,3660,192,3616,3657">tivo</WORD>
<WORD coords="234,3682,250,3632,3691">;</WORD>
<WORD coords="300,3670,388,3616,3668">La</WORD>
<WORD coords="440,3680,630,3636,3676">razón</WORD>
<WORD coords="684,3684,752,3646,3684">es</WORD>
<WORD coords="790,3698,806,3674,3699">,</WORD>
<WORD coords="860,3706,970,3652,3692">por</WORD>
<WORD coords="1020,3716,1138,3660,3699">que</WORD>
<WORD coords="1192,3702,1248,3648,3701">el</WORD>
<WORD coords="1298,3704,1336,3656,3704">5</WORD>
<WORD coords="1364,3722,1384,3694,3722">,</WORD>
<WORD coords="1432,3726,1550,3672,3710">que</WORD>
<WORD coords="1594,3716,1760,3668,3714">antes</WORD>
<WORD coords="1818,3736,2136,3668,3722">espresaba</WORD>
<WORD coords="2198,3732,2358,3670,3730">Uní-</WORD>
</LINE>
<LINE>
<WORD coords="60,3764,170,3712,3762">des</WORD>
<WORD coords="234,3786,346,3732,3771">por</WORD>
<WORD coords="400,3780,558,3734,3777">estar</WORD>
<WORD coords="610,3786,688,3748,3785">eu</WORD>
<WORD coords="746,3808,974,3736,3793">primer</WORD>
<WORD coords="1034,3824,1252,3746,3803">lugar,</WORD>
<WORD coords="1300,3826,1412,3770,3809">por</WORD>
<WORD coords="1452,3812,1508,3758,3810">I.</WORD>
<WORD coords="1566,3820,1810,3760,3817">adición</WORD>
<WORD coords="1862,3824,1962,3766,3823">del</WORD>
<WORD coords="2008,3830,2150,3788,3827">cero</WORD>
<WORD coords="2208,3852,2358,3796,3836">que-</WORD>
</LINE>
<LINE>
<WORD coords="50,3950,134,3824,3950">J</WORD>
<WORD coords="186,3872,254,3834,3871">en</WORD>
<WORD coords="314,3878,372,3828,3876">2.</WORD>
<WORD coords="398,3864,434,3828,3864">o</WORD>
<WORD coords="514,3906,688,3828,3885">lugar</WORD>
<WORD coords="742,3912,782,3856,3912">y</WORD>
<WORD coords="836,3916,1080,3860,3900">espresa</WORD>
<WORD coords="1138,3914,1420,3852,3909">Decen&gt;8</WORD>
<WORD coords="1440,3862,1446,3852,3888">.</WORD>
<WORD coords="1544,3936,1660,3882,3922">qye</WORD>
<WORD coords="1874,3928,1946,3878,3928">IQ</WORD>
<WORD coords="1990,3936,2168,3894,3932">vcc&lt;¡s</WORD>
<WORD coords="2220,3940,2276,3902,3940">m</WORD>
<WORD coords="2286,3942,2352,3900,3942">^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="50,3984,232,3926,3970">yores</WORD>
<WORD coords="282,3998,402,3942,3983">que</WORD>
<WORD coords="462,3990,552,3930,3988">las</WORD>
<WORD coords="608,4002,906,3938,3997">unidades</WORD>
<WORD coords="940,4018,960,3970,4016">;</WORD>
<WORD coords="1018,4008,1074,3952,4008">el</WORD>
<WORD coords="1128,4026,1220,3962,4021">2,</WORD>
<WORD coords="1278,4034,1394,3978,4018">que</WORD>
<WORD coords="1452,4026,1620,3978,4023">antes</WORD>
<WORD coords="1670,4048,1994,3976,4032">espresaba</WORD>
<WORD coords="2048,4062,2350,3980,4040">Decenas,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1204,4120,1248,4064,4120">4</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0019.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0020.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0020.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1806,687,1988,597,687">1W</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="723,824,835,760,800">por</WORD>
<WORD coords="865,797,923,741,796">la</WORD>
<WORD coords="966,795,1226,735,792">adición,</WORD>
<WORD coords="1273,789,1380,730,788">del</WORD>
<WORD coords="1429,787,1569,743,784">cero</WORD>
<WORD coords="1627,801,1829,724,780">queda</WORD>
<WORD coords="1883,779,1954,745,779">en</WORD>
<WORD coords="2011,778,2214,732,776">tercer</WORD>
<WORD coords="2263,795,2444,718,770">lugtar</WORD>
<WORD coords="2493,785,2534,727,785">y</WORD>
<WORD coords="2592,786,2840,725,768">espresa</WORD>
<WORD coords="2873,775,3029,713,773">Ctn*</WORD>
</LINE>
<LINE>
<WORD coords="724,906,898,860,904">tenas</WORD>
<WORD coords="952,918,1068,858,900">qtte</WORD>
<WORD coords="1128,900,1239,858,897">son</WORD>
<WORD coords="1292,895,1366,842,893">10</WORD>
<WORD coords="1423,892,1603,850,889">veces</WORD>
<WORD coords="1655,906,1933,847,884">mayores</WORD>
<WORD coords="1981,902,2095,843,881">que</WORD>
<WORD coords="2148,880,2234,826,879">las</WORD>
<WORD coords="2291,879,2575,823,874">Decenas</WORD>
<WORD coords="2604,878,2621,854,881">,</WORD>
<WORD coords="2675,875,2774,817,873">del</WORD>
<WORD coords="2819,887,3041,822,880">mismo</WORD>
</LINE>
<LINE>
<WORD coords="730,1012,921,951,1007">ipodo</WORD>
<WORD coords="979,1001,1475,940,997">discurriríamos</WORD>
<WORD coords="1531,994,1628,937,992">del</WORD>
<WORD coords="1688,991,1728,941,991">4</WORD>
<WORD coords="1781,1011,1819,955,1000">y</WORD>
<WORD coords="1878,989,2089,934,987">demás</WORD>
<WORD coords="2143,1005,2488,927,982">guarismos</WORD>
<WORD coords="2549,993,2665,939,975">que</WORD>
<WORD coords="2696,997,2895,927,982">pueda</WORD>
<WORD coords="2926,992,3033,931,992">ha-</WORD>
</LINE>
<LINE>
<WORD coords="737,1116,847,1060,1113">ber</WORD>
<WORD coords="869,1113,883,1078,1113">:</WORD>
<WORD coords="943,1128,1129,1055,1108">luego</WORD>
<WORD coords="1182,1108,1554,1045,1101">habiéndose</WORD>
<WORD coords="1612,1097,1808,1039,1096">hecho</WORD>
<WORD coords="1863,1097,2013,1039,1094">cada</WORD>
<WORD coords="2069,1109,2234,1047,1089">paite</WORD>
<WORD coords="2294,1088,2429,1032,1086">diez</WORD>
<WORD coords="2491,1084,2674,1043,1081">veces</WORD>
<WORD coords="2722,1110,2955,1050,1089">mayor,</WORD>
<WORD coords="2985,1096,3042,1040,1095">lo</WORD>
</LINE>
<LINE>
<WORD coords="738,1219,927,1159,1216">habrá</WORD>
<WORD coords="988,1232,1277,1154,1211">quedado</WORD>
<WORD coords="1331,1207,1385,1151,1207">el</WORD>
<WORD coords="1423,1205,1570,1148,1202">todo</WORD>
<WORD coords="1629,1228,1936,1148,1202">(Axioma</WORD>
<WORD coords="1989,1200,2019,1151,1201">3</WORD>
<WORD coords="2070,1180,2102,1145,1180">c</WORD>
<WORD coords="2126,1217,2198,1143,1217">J.</WORD>
<WORD coords="2290,1195,2408,1140,1194">Del</WORD>
<WORD coords="2462,1194,2686,1138,1192">mismo</WORD>
<WORD coords="2741,1201,2928,1142,1197">modo</WORD>
<WORD coords="2988,1203,3052,1161,1201">se</WORD>
</LINE>
<LINE>
<WORD coords="743,1324,1148,1264,1322">demostraría</WORD>
<WORD coords="1178,1335,1195,1307,1335">,</WORD>
<WORD coords="1228,1338,1346,1279,1319">que</WORD>
<WORD coords="1395,1314,1748,1257,1311">añadiendo</WORD>
<WORD coords="1814,1308,1924,1254,1308">dos</WORD>
<WORD coords="1959,1308,2128,1272,1307">ceros</WORD>
<WORD coords="2162,1322,2178,1295,1316">,</WORD>
<WORD coords="2206,1306,2269,1270,1305">se</WORD>
<WORD coords="2322,1303,2471,1246,1302">hace</WORD>
<WORD coords="2530,1301,2584,1245,1300">el</WORD>
<WORD coords="2631,1303,2715,1259,1301">i&gt;u</WORD>
<WORD coords="2729,1305,2893,1264,1304">mero</WORD>
<WORD coords="2926,1309,3057,1253,1306">cien</WORD>
</LINE>
<LINE>
<WORD coords="751,1431,932,1391,1428">veces</WORD>
<WORD coords="980,1446,1190,1387,1424">mayor</WORD>
<WORD coords="1218,1425,1232,1389,1424">:</WORD>
<WORD coords="1261,1423,1312,1368,1422">si</WORD>
<WORD coords="1358,1422,1483,1375,1419">tres</WORD>
<WORD coords="1528,1420,1698,1379,1417">ceros</WORD>
<WORD coords="1723,1434,1742,1402,1434">t</WORD>
<WORD coords="1772,1417,1880,1359,1416">mil</WORD>
<WORD coords="1936,1417,2110,1375,1415">veces</WORD>
<WORD coords="2147,1416,2164,1381,1416">:</WORD>
<WORD coords="2217,1412,2267,1355,1411">si</WORD>
<WORD coords="2316,1412,2529,1354,1409">cúatro</WORD>
<WORD coords="2553,1424,2570,1394,1416">,</WORD>
<WORD coords="2616,1410,2768,1351,1408">diez</WORD>
<WORD coords="2821,1410,2927,1355,1408">mil</WORD>
<WORD coords="2959,1412,3062,1377,1412">ve.</WORD>
</LINE>
<LINE>
<WORD coords="755,1539,859,1496,1535">ees</WORD>
<WORD coords="907,1551,948,1495,1541">y</WORD>
<WORD coords="988,1531,1075,1475,1530">asi</WORD>
<WORD coords="1130,1529,1203,1491,1528">en</WORD>
<WORD coords="1251,1529,1544,1471,1526">adelante.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="919,1637,1015,1586,1636">31.</WORD>
<WORD coords="1109,1636,1447,1576,1633">Corolario.</WORD>
<WORD coords="1540,1651,1761,1574,1630">Luego</WORD>
<WORD coords="1817,1647,1926,1591,1627">por</WORD>
<WORD coords="2001,1628,2058,1571,1628">la</WORD>
<WORD coords="2112,1626,2298,1588,1624">razón</WORD>
<WORD coords="2369,1625,2635,1566,1622">anterior</WORD>
<WORD coords="2683,1630,2765,1586,1628">un</WORD>
<WORD coords="2820,1626,3068,1581,1623">numero</WORD>
</LINE>
<LINE>
<WORD coords="760,1769,875,1706,1744">que</WORD>
<WORD coords="942,1743,1126,1684,1740">acaba</WORD>
<WORD coords="1180,1741,1252,1702,1740">en</WORD>
<WORD coords="1308,1739,1472,1701,1737">ceros</WORD>
<WORD coords="1516,1753,1532,1726,1753">,</WORD>
<WORD coords="1585,1760,1851,1680,1735">quedara</WORD>
<WORD coords="1903,1736,2081,1680,1733">hecho</WORD>
<WORD coords="2142,1734,2215,1682,1733">10</WORD>
<WORD coords="2264,1733,2426,1693,1731">veces</WORD>
<WORD coords="2488,1730,2687,1691,1729">menor</WORD>
<WORD coords="2718,1739,2733,1719,1737">,</WORD>
<WORD coords="2787,1733,2893,1694,1732">con</WORD>
<WORD coords="2944,1731,3072,1675,1730">¿oh</WORD>
</LINE>
<LINE>
<WORD coords="771,1877,1034,1796,1851">quitarle</WORD>
<WORD coords="1090,1855,1170,1812,1852">un</WORD>
<WORD coords="1211,1848,1342,1810,1848">cero</WORD>
<WORD coords="1398,1848,1467,1790,1847">de</WORD>
<WORD coords="1528,1845,1584,1790,1845">la</WORD>
<WORD coords="1625,1844,1874,1789,1843">derecha</WORD>
<WORD coords="1902,1848,1923,1808,1845">;</WORD>
<WORD coords="1988,1842,2102,1791,1841">100</WORD>
<WORD coords="2158,1841,2326,1803,1839">veces,</WORD>
<WORD coords="2392,1839,2591,1800,1837">menor</WORD>
<WORD coords="2643,1835,2749,1797,1834">con</WORD>
<WORD coords="2805,1860,3075,1780,1838">quitarte</WORD>
</LINE>
<LINE>
<WORD coords="770,1967,877,1904,1960">do$</WORD>
<WORD coords="928,1960,1093,1921,1958">teros</WORD>
<WORD coords="1126,1970,1143,1944,1963">,</WORD>
<WORD coords="1195,1957,1297,1898,1955">&amp;c</WORD>
<WORD coords="1324,1960,1344,1919,1957">;</WORD>
<WORD coords="1376,1954,1462,1898,1953">asi</WORD>
<WORD coords="1487,1966,1502,1942,1952">,</WORD>
<WORD coords="1551,1952,1600,1896,1952">si</WORD>
<WORD coords="1656,1952,1710,1897,1951">al</WORD>
<WORD coords="1765,1952,1919,1901,1949">1000</WORD>
<WORD coords="1971,1949,2022,1895,1948">le</WORD>
<WORD coords="2079,1966,2425,1910,1946">separamos</WORD>
<WORD coords="2484,1944,2537,1889,1943">el</WORD>
<WORD coords="2590,1942,2727,1903,1939">cero</WORD>
<WORD coords="2787,1960,2895,1904,1940">por</WORD>
<WORD coords="2943,1945,3072,1908,1944">me-</WORD>
</LINE>
<LINE>
<WORD coords="774,2067,882,2008,2064">dio</WORD>
<WORD coords="936,2064,1011,2008,2063">de</WORD>
<WORD coords="1061,2064,1180,2024,2063">una</WORD>
<WORD coords="1243,2061,1418,2022,2060">coma</WORD>
<WORD coords="1475,2059,1550,2004,2059">de</WORD>
<WORD coords="1596,2058,1723,2013,2057">este</WORD>
<WORD coords="1773,2056,1957,2000,2055">modo</WORD>
<WORD coords="2009,2068,2247,2002,2056">100,0,</WORD>
<WORD coords="2308,2050,2370,2014,2050">se</WORD>
<WORD coords="2430,2050,2771,1989,2047">convertirá</WORD>
<WORD coords="2826,2047,2896,2012,2046">en</WORD>
<WORD coords="2961,2055,3075,1995,2050">100</WORD>
</LINE>
<LINE>
<WORD coords="774,2191,895,2135,2172">que</WORD>
<WORD coords="959,2170,1023,2135,2170">es</WORD>
<WORD coords="1074,2172,1149,2121,2171">10</WORD>
<WORD coords="1207,2172,1387,2130,2168">veces</WORD>
<WORD coords="1437,2169,1647,2128,2165">menor</WORD>
<WORD coords="1702,2181,1818,2127,2164">que</WORD>
<WORD coords="1901,2159,2002,2104,2159">mi!</WORD>
<WORD coords="2032,2160,2045,2126,2160">:</WORD>
<WORD coords="2109,2157,2158,2101,2156">si</WORD>
<WORD coords="2239,2155,2291,2101,2154">le</WORD>
<WORD coords="2353,2174,2658,2100,2153">quitamos</WORD>
<WORD coords="2725,2152,2835,2096,2151">dos</WORD>
<WORD coords="2871,2167,2884,2142,2163">,</WORD>
<WORD coords="2941,2156,3074,2118,2154">sera</WORD>
</LINE>
<LINE>
<WORD coords="781,2291,986,2217,2279">10,00,</WORD>
<WORD coords="1033,2275,1068,2221,2275">ó</WORD>
<WORD coords="1130,2275,1205,2225,2274">10</WORD>
<WORD coords="1316,2274,1373,2218,2274">A</WORD>
<WORD coords="1427,2271,1483,2217,2270">la</WORD>
<WORD coords="1535,2270,1703,2233,2269">coma</WORD>
<WORD coords="1763,2267,1826,2231,2267">se</WORD>
<WORD coords="1897,2266,2076,2210,2265">llama</WORD>
<WORD coords="2136,2283,2310,2207,2261">signo</WORD>
<WORD coords="2379,2272,2687,2202,2258">decimal,</WORD>
<WORD coords="2745,2278,2785,2222,2272">y</WORD>
<WORD coords="2844,2263,3080,2204,2259">cuando</WORD>
</LINE>
<LINE>
<WORD coords="783,2383,1080,2343,2380">concurra</WORD>
<WORD coords="1125,2379,1182,2324,2379">la</WORD>
<WORD coords="1230,2378,1403,2340,2377">coma</WORD>
<WORD coords="1451,2375,1710,2319,2373">decimal</WORD>
<WORD coords="1768,2371,1881,2334,2370">con</WORD>
<WORD coords="1908,2371,1963,2315,2370">la</WORD>
<WORD coords="1995,2369,2169,2331,2367">coma</WORD>
<WORD coords="2210,2383,2325,2329,2365">que</WORD>
<WORD coords="2375,2363,2502,2309,2362">solo</WORD>
<WORD coords="2550,2364,2712,2308,2360">sirve</WORD>
<WORD coords="2776,2379,2914,2328,2364">para</WORD>
<WORD coords="2960,2366,3086,2311,2364">leer</WORD>
</LINE>
<LINE>
<WORD coords="786,2487,828,2429,2486">ó</WORD>
<WORD coords="858,2486,1113,2429,2484">escribir</WORD>
<WORD coords="1169,2487,1249,2446,2486">un</WORD>
<WORD coords="1305,2483,1564,2443,2481">numero</WORD>
<WORD coords="1592,2497,1609,2467,2488">,</WORD>
<WORD coords="1659,2479,1787,2432,2478">esta</WORD>
<WORD coords="1852,2479,1916,2437,2477">se</WORD>
<WORD coords="1971,2501,2200,2417,2474">pondrá</WORD>
<WORD coords="2244,2473,2483,2417,2471">inversa</WORD>
<WORD coords="2539,2491,2575,2434,2489">y</WORD>
<WORD coords="2635,2488,2744,2431,2470">por</WORD>
<WORD coords="2795,2471,2854,2414,2470">la</WORD>
<WORD coords="2917,2489,3083,2426,2471">parte</WORD>
</LINE>
<LINE>
<WORD coords="788,2595,872,2536,2593">de</WORD>
<WORD coords="914,2592,1129,2534,2590">arriba.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1124,2671,1527,2609,2669">SISTEMA</WORD>
<WORD coords="1578,2666,2167,2605,2663">SEPTENARIO</WORD>
<WORD coords="2217,2661,2275,2605,2661">O</WORD>
<WORD coords="2325,2661,2755,2599,2658">ROMANO,</WORD>
</LINE>
<LINE>
<WORD coords="955,2777,1052,2726,2775">32.</WORD>
<WORD coords="1147,2773,1273,2718,2772">Los</WORD>
<WORD coords="1322,2772,1635,2716,2769">Romanos</WORD>
<WORD coords="1684,2787,2039,2712,2767">espresaban</WORD>
<WORD coords="2098,2767,2186,2714,2766">los</WORD>
<WORD coords="2233,2767,2520,2729,2763">números</WORD>
<WORD coords="2562,2782,2669,2727,2761">por</WORD>
<WORD coords="2705,2764,2791,2709,2763">las</WORD>
<WORD coords="2834,2765,2982,2708,2764">siete</WORD>
<WORD coords="3011,2765,3096,2709,2765">le-</WORD>
</LINE>
<LINE>
<WORD coords="795,2886,922,2837,2884">tras</WORD>
<WORD coords="979,2880,1087,2825,2879">del</WORD>
<WORD coords="1108,2878,1153,2827,2878">A</WORD>
<WORD coords="1192,2878,1395,2822,2876">fabeto</WORD>
<WORD coords="1445,2895,1822,2820,2874">siguientes;</WORD>
<WORD coords="1872,2875,1920,2818,2875">C</WORD>
<WORD coords="1972,2891,2086,2837,2873">que</WORD>
<WORD coords="2138,2876,2274,2818,2870">vaNj</WORD>
<WORD coords="2335,2871,2537,2815,2869">Ciento</WORD>
<WORD coords="2572,2873,2592,2833,2873">;</WORD>
<WORD coords="2628,2867,2698,2812,2867">D*</WORD>
<WORD coords="2748,2868,2783,2813,2870">ó</WORD>
<WORD coords="2820,2892,2905,2834,2885">13</WORD>
<WORD coords="2953,2870,3099,2813,2869">®&gt;ii¡.</WORD>
</LINE>
<LINE>
<WORD coords="801,2990,1036,2932,2986">nientos</WORD>
<WORD coords="1062,2990,1084,2950,2986">;</WORD>
<WORD coords="1141,2983,1170,2926,2983">I</WORD>
<WORD coords="1234,2983,1364,2926,2982">Uno</WORD>
<WORD coords="1385,2989,1406,2946,2984">;</WORD>
<WORD coords="1435,2978,1488,2923,2978">L</WORD>
<WORD coords="1537,2982,1862,2923,2978">Cincuenta</WORD>
<WORD coords="1885,2985,1905,2943,2969">;</WORD>
<WORD coords="1905,2953,1907,2946,2979">■</WORD>
<WORD coords="1957,2978,2035,2922,2978">M</WORD>
<WORD coords="2088,2976,2121,2922,2977">6</WORD>
<WORD coords="2194,2991,2286,2925,2984">OQ</WORD>
<WORD coords="2351,2975,2385,2922,2977">ó</WORD>
<WORD coords="2452,2997,2595,2918,2975">CI3</WORD>
<WORD coords="2663,2972,2781,2917,2971">Mil</WORD>
<WORD coords="2804,2979,2826,2939,2979">;</WORD>
<WORD coords="2861,2974,2919,2917,2974">V</WORD>
<WORD coords="2960,2976,3099,2918,2974">Cuí-</WORD>
</LINE>
<LINE>
<WORD coords="799,3092,866,3050,3092">co</WORD>
<WORD coords="901,3104,918,3057,3097">í</WORD>
<WORD coords="974,3091,1039,3029,3091">X</WORD>
<WORD coords="1093,3090,1283,3031,3085">Diez.</WORD>
<WORD coords="1378,3085,1507,3029,3083">Con</WORD>
<WORD coords="1561,3083,1719,3040,3082">estas</WORD>
<WORD coords="1778,3083,1955,3029,3082">lttras</WORD>
<WORD coords="2012,3087,2510,3022,3080">diferentemente</WORD>
<WORD coords="2586,3079,2951,3021,3076">conbinadas</WORD>
<WORD coords="3014,3081,3107,3043,3080">es-</WORD>
</LINE>
<LINE>
<WORD coords="806,3213,1108,3137,3191">presaban</WORD>
<WORD coords="1154,3189,1243,3134,3188">los</WORD>
<WORD coords="1287,3189,1573,3151,3187">números</WORD>
<WORD coords="1628,3188,1798,3131,3187">hasta</WORD>
<WORD coords="1829,3187,1965,3132,3186">cien</WORD>
<WORD coords="2015,3186,2121,3131,3185">mil</WORD>
<WORD coords="2178,3184,2530,3130,3182">solamente.</WORD>
<WORD coords="2624,3183,2770,3127,3180">Para</WORD>
<WORD coords="2815,3185,3113,3129,3182">entended</WORD>
</LINE>
<LINE>
<WORD coords="808,3298,939,3252,3296">este</WORD>
<WORD coords="990,3298,1240,3240,3293">sistema</WORD>
<WORD coords="1281,3293,1343,3258,3292">se</WORD>
<WORD coords="1385,3293,1535,3238,3292">debe</WORD>
<WORD coords="1588,3292,1757,3247,3291">tener</WORD>
<WORD coords="1821,3308,2091,3249,3290">presente</WORD>
<WORD coords="2126,3295,2142,3256,3292">\</WORD>
<WORD coords="2200,3290,2250,3242,3290">1,</WORD>
<WORD coords="2279,3270,2313,3236,3280">°</WORD>
<WORD coords="2371,3300,2510,3234,3287">Que</WORD>
<WORD coords="2572,3291,2807,3233,3286">cuando</WORD>
<WORD coords="2856,3286,2908,3232,3286">la</WORD>
<WORD coords="2969,3288,3015,3233,3288">C</WORD>
<WORD coords="3050,3291,3114,3249,3288">se</WORD>
</LINE>
<LINE>
<WORD coords="815,3417,1117,3360,3399">antepone</WORD>
<WORD coords="1182,3398,1212,3346,3398">á</WORD>
<WORD coords="1277,3398,1331,3344,3397">la</WORD>
<WORD coords="1384,3399,1412,3342,3399">I</WORD>
<WORD coords="1444,3412,1458,3386,3404">,</WORD>
<WORD coords="1505,3397,1580,3341,3395">ha</WORD>
<WORD coords="1613,3396,1689,3340,3395">de</WORD>
<WORD coords="1752,3396,1912,3350,3395">estar</WORD>
<WORD coords="1962,3397,2163,3343,3395">vuelta</WORD>
<WORD coords="2215,3392,2343,3338,3391">acia</WORD>
<WORD coords="2405,3392,2527,3349,3391">esta</WORD>
<WORD coords="2562,3398,2577,3361,3396">;</WORD>
<WORD coords="2635,3392,2691,3346,3392">2.</WORD>
<WORD coords="2810,3401,2948,3336,3388">Que</WORD>
<WORD coords="3000,3391,3131,3352,3390">una,</WORD>
</LINE>
<LINE>
<WORD coords="832,3504,984,3448,3503">letra</WORD>
<WORD coords="1014,3519,1029,3492,3511">,</WORD>
<WORD coords="1065,3503,1116,3446,3502">si</WORD>
<WORD coords="1175,3505,1241,3467,3503">es</WORD>
<WORD coords="1301,3524,1467,3448,3502">igual</WORD>
<WORD coords="1532,3503,1568,3468,3503">o</WORD>
<WORD coords="1618,3521,1828,3463,3501">mayor</WORD>
<WORD coords="1875,3518,1990,3465,3501">que</WORD>
<WORD coords="2041,3500,2094,3448,3499">la</WORD>
<WORD coords="2148,3520,2452,3445,3498">siguiente</WORD>
<WORD coords="2481,3513,2496,3486,3506">,</WORD>
<WORD coords="2526,3499,2591,3463,3496">se</WORD>
<WORD coords="2650,3500,2818,3460,3497">suma</WORD>
<WORD coords="2874,3494,2988,3456,3492">con</WORD>
<WORD coords="3021,3495,3119,3459,3495">es-</WORD>
</LINE>
<LINE>
<WORD coords="818,3609,877,3563,3607">ta</WORD>
<WORD coords="930,3626,946,3580,3626">;</WORD>
<WORD coords="997,3627,1139,3571,3608">pero</WORD>
<WORD coords="1214,3608,1266,3553,3607">si</WORD>
<WORD coords="1330,3606,1397,3571,3606">es</WORD>
<WORD coords="1457,3606,1668,3569,3604">menor</WORD>
<WORD coords="1724,3623,1840,3570,3605">que</WORD>
<WORD coords="1884,3605,1939,3551,3604">la</WORD>
<WORD coords="1998,3625,2296,3550,3603">siguiente</WORD>
<WORD coords="2328,3617,2345,3589,3611">,</WORD>
<WORD coords="2375,3605,2437,3566,3603">se</WORD>
<WORD coords="2509,3604,2668,3560,3602">resta</WORD>
<WORD coords="2718,3602,2793,3545,3601">de</WORD>
<WORD coords="2874,3602,2929,3548,3601">la</WORD>
<WORD coords="3001,3621,3123,3561,3601">que</WORD>
</LINE>
<LINE>
<WORD coords="822,3732,1019,3656,3711">sigue.</WORD>
<WORD coords="1114,3732,1455,3658,3710">Pongamos</WORD>
<WORD coords="1519,3730,1772,3659,3708">algunos</WORD>
<WORD coords="1829,3730,2148,3655,3708">ejemplos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="826,3817,900,3760,3816">II</WORD>
<WORD coords="925,3821,993,3799,3814">...</WORD>
<WORD coords="1029,3814,1064,3767,3814">2</WORD>
<WORD coords="1110,3828,1127,3783,3821">;</WORD>
<WORD coords="1177,3814,1274,3758,3813">VI</WORD>
<WORD coords="1309,3814,1321,3799,3814">.</WORD>
<WORD coords="1354,3814,1368,3800,3813">.</WORD>
<WORD coords="1398,3813,1436,3762,3813">6</WORD>
<WORD coords="1472,3827,1488,3781,3820">;</WORD>
<WORD coords="1540,3814,1669,3758,3813">Vtl</WORD>
<WORD coords="1705,3814,1754,3801,3813">..</WORD>
<WORD coords="1792,3823,1862,3765,3817">7;</WORD>
<WORD coords="1909,3815,1998,3757,3814">XI</WORD>
<WORD coords="2032,3816,2049,3799,3815">.</WORD>
<WORD coords="2087,3815,2100,3801,3814">.</WORD>
<WORD coords="2139,3813,2201,3762,3812">11</WORD>
<WORD coords="2242,3822,2255,3779,3818">;</WORD>
<WORD coords="2294,3814,2421,3754,3813">XV</WORD>
<WORD coords="2453,3813,2467,3797,3812">.</WORD>
<WORD coords="2500,3810,2513,3797,3811">.</WORD>
<WORD coords="2554,3810,2623,3762,3810">15</WORD>
<WORD coords="2659,3822,2675,3778,3817">;</WORD>
<WORD coords="2720,3811,2883,3751,3810">XIX</WORD>
<WORD coords="2913,3813,2927,3795,3813">.</WORD>
<WORD coords="2969,3813,2982,3800,3813">.</WORD>
<WORD coords="3026,3813,3126,3759,3811">19.</WORD>
</LINE>
<LINE>
<WORD coords="831,3922,1018,3860,3920">XXX</WORD>
<WORD coords="1048,3917,1060,3903,3917">.</WORD>
<WORD coords="1094,3919,1110,3902,3918">.</WORD>
<WORD coords="1144,3917,1218,3867,3916">30</WORD>
<WORD coords="1246,3934,1261,3887,3927">;</WORD>
<WORD coords="1296,3921,1409,3862,3920">XL</WORD>
<WORD coords="1444,3919,1457,3903,3919">.</WORD>
<WORD coords="1494,3923,1510,3905,3920">.</WORD>
<WORD coords="1542,3918,1621,3867,3917">40</WORD>
<WORD coords="1650,3932,1665,3885,3925">;</WORD>
<WORD coords="1707,3918,1925,3861,3917">XLIX</WORD>
<WORD coords="1957,3919,1972,3901,3918">.</WORD>
<WORD coords="2002,3917,2015,3902,3917">.</WORD>
<WORD coords="2046,3916,2126,3865,3916">49</WORD>
<WORD coords="2164,3927,2177,3886,3922">;</WORD>
<WORD coords="2212,3915,2267,3860,3915">X</WORD>
<WORD coords="2285,3916,2322,3865,3916">¿</WORD>
<WORD coords="2359,3915,2372,3902,3916">.</WORD>
<WORD coords="2409,3913,2421,3902,3915">.</WORD>
<WORD coords="2458,3915,2536,3864,3915">90</WORD>
<WORD coords="2570,3928,2585,3885,3923">;</WORD>
<WORD coords="2624,3918,2845,3860,3915">CCCC</WORD>
<WORD coords="2884,3918,2895,3904,3918">.</WORD>
<WORD coords="2936,3918,2949,3904,3918">.</WORD>
<WORD coords="2987,3931,3133,3869,3921">400;</WORD>
</LINE>
<LINE>
<WORD coords="838,4027,910,3957,4026">3M</WORD>
<WORD coords="933,4024,1419,3963,4022">DCCCXXXIl</WORD>
<WORD coords="1450,4026,1466,4008,4025">.</WORD>
<WORD coords="1501,4025,1516,4008,4025">.</WORD>
<WORD coords="1548,4030,1699,3974,4026">1832</WORD>
<WORD coords="1737,4055,1941,3954,4025">iíry&amp;</WORD>
<WORD coords="1964,4023,1981,4005,4025">.</WORD>
<WORD coords="2007,4027,2020,4006,4022">,</WORD>
<WORD coords="2055,4020,2213,3972,4019">5000</WORD>
<WORD coords="2245,4032,2262,3987,4032">;</WORD>
<WORD coords="2290,4045,2548,3965,4020">CCI^3</WORD>
<WORD coords="2577,4019,2587,4005,4020">.</WORD>
<WORD coords="2624,4021,2638,4004,4021">.</WORD>
<WORD coords="2666,4022,2863,3971,4020">loOOO</WORD>
<WORD coords="2885,4031,2898,3989,4029">¡</WORD>
<WORD coords="2934,4027,3136,3967,4026">CCÜ-</WORD>
</LINE>
<LINE>
<WORD coords="832,4156,1047,4053,4144">¿333</WORD>
<WORD coords="1082,4131,1098,4111,4131">.</WORD>
<WORD coords="1132,4129,1148,4109,4130">.</WORD>
<WORD coords="1184,4135,1452,4077,4129">100000..</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0020.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0021.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0021.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1242,638,1382,542,637">11</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="536,787,1164,719,780">DIFERENCIAS</WORD>
<WORD coords="1214,775,1332,720,775">DE</WORD>
<WORD coords="1383,776,1546,715,773">LOS</WORD>
<WORD coords="1593,775,2073,714,772">NUMEROS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="326,914,424,861,913">33.</WORD>
<WORD coords="516,911,588,854,910">El</WORD>
<WORD coords="639,911,892,872,908">numero</WORD>
<WORD coords="942,908,1004,871,907">se</WORD>
<WORD coords="1064,911,1274,851,907">divide</WORD>
<WORD coords="1339,904,1411,868,903">en</WORD>
<WORD coords="1469,911,1786,847,902">Abstracto</WORD>
<WORD coords="1833,921,1872,865,913">y</WORD>
<WORD coords="1938,905,2241,847,903">Concreto.</WORD>
<WORD coords="2302,904,2454,847,902">Ahs»</WORD>
</LINE>
<LINE>
<WORD coords="162,1024,358,970,1020">tracto</WORD>
<WORD coords="415,1017,482,981,1016">es</WORD>
<WORD coords="540,1034,715,960,1014">aqutl</WORD>
<WORD coords="755,1026,771,1001,1020">,</WORD>
<WORD coords="801,1014,984,977,1011">cuvas</WORD>
<WORD coords="1045,1014,1342,956,1011">unidades</WORD>
<WORD coords="1399,1008,1474,974,1007">no</WORD>
<WORD coords="1533,1009,1640,973,1007">son</WORD>
<WORD coords="1693,1007,1767,954,1007">de</WORD>
<WORD coords="1826,1025,2061,953,1006">especie</WORD>
<WORD coords="2091,1009,2458,955,1007">determina-</WORD>
</LINE>
<LINE>
<WORD coords="169,1123,248,1066,1121">da</WORD>
<WORD coords="283,1135,296,1091,1128">;</WORD>
<WORD coords="352,1121,527,1083,1120">como</WORD>
<WORD coords="587,1121,619,1071,1121">8</WORD>
<WORD coords="678,1121,720,1059,1118">ü</WORD>
<WORD coords="791,1116,906,1059,1115">och</WORD>
<WORD coords="933,1112,945,1084,1113">&gt;</WORD>
<WORD coords="1006,1127,1230,1078,1115">veces,</WORD>
<WORD coords="1274,1119,1364,1060,1115">sin</WORD>
<WORD coords="1425,1114,1794,1058,1112">determinar</WORD>
<WORD coords="1851,1133,1967,1077,1113">que</WORD>
<WORD coords="2024,1112,2183,1068,1111">estos</WORD>
<WORD coords="2239,1118,2279,1060,1116">8</WORD>
<WORD coords="2362,1115,2469,1079,1113">son</WORD>
</LINE>
<LINE>
<WORD coords="173,1240,480,1171,1225">caballos,</WORD>
<WORD coords="523,1244,698,1188,1223">pesos</WORD>
<WORD coords="753,1223,795,1165,1223">ü</WORD>
<WORD coords="848,1224,1151,1166,1219">hombres.</WORD>
<WORD coords="1241,1221,1528,1163,1219">Numero</WORD>
<WORD coords="1574,1221,1842,1175,1218">concreto</WORD>
<WORD coords="1902,1219,1964,1184,1218">es</WORD>
<WORD coords="2014,1237,2191,1165,1217">aquel</WORD>
<WORD coords="2234,1239,2250,1207,1239">,</WORD>
<WORD coords="2296,1240,2481,1185,1220">cuyas</WORD>
</LINE>
<LINE>
<WORD coords="178,1334,477,1276,1330">unidades</WORD>
<WORD coords="526,1329,633,1293,1328">son</WORD>
<WORD coords="692,1331,769,1275,1329">de</WORD>
<WORD coords="828,1344,1066,1271,1327">especie</WORD>
<WORD coords="1113,1329,1534,1269,1323">determinada</WORD>
<WORD coords="1581,1336,1596,1313,1331">,</WORD>
<WORD coords="1653,1327,1824,1289,1324">como</WORD>
<WORD coords="1881,1326,1924,1277,1325">8.</WORD>
<WORD coords="1969,1343,2140,1289,1324">pesos</WORD>
<WORD coords="2171,1339,2187,1313,1332">,</WORD>
<WORD coords="2232,1322,2267,1273,1324">6</WORD>
<WORD coords="2319,1323,2483,1290,1322">man-</WORD>
</LINE>
<LINE>
<WORD coords="188,1443,389,1401,1435">ganas.</WORD>
<WORD coords="478,1435,607,1381,1434">Los</WORD>
<WORD coords="654,1435,938,1396,1432">números</WORD>
<WORD coords="982,1431,1291,1389,1429">concretos</WORD>
<WORD coords="1344,1430,1446,1396,1428">son</WORD>
<WORD coords="1505,1450,1910,1375,1429">Homogéneos</WORD>
<WORD coords="1945,1431,1973,1395,1431">o</WORD>
<WORD coords="2012,1453,2483,1376,1429">Heterogéneos:</WORD>
</LINE>
<LINE>
<WORD coords="189,1566,606,1490,1545">Homogéneos</WORD>
<WORD coords="660,1542,772,1505,1541">son</WORD>
<WORD coords="832,1558,1104,1486,1539">aquellos</WORD>
<WORD coords="1165,1558,1347,1503,1538">cuyas</WORD>
<WORD coords="1411,1541,1706,1483,1536">unidades</WORD>
<WORD coords="1770,1537,1875,1504,1537">son</WORD>
<WORD coords="1954,1539,2028,1484,1538">de</WORD>
<WORD coords="2085,1536,2200,1502,1535">una</WORD>
<WORD coords="2268,1550,2498,1481,1535">misma,</WORD>
</LINE>
<LINE>
<WORD coords="189,1669,426,1594,1648">especie</WORD>
<WORD coords="460,1662,475,1635,1654">,</WORD>
<WORD coords="532,1646,681,1592,1645">tales</WORD>
<WORD coords="732,1645,840,1609,1644">son</WORD>
<WORD coords="897,1646,931,1594,1645">7</WORD>
<WORD coords="974,1645,1258,1588,1643">hombres</WORD>
<WORD coords="1289,1657,1304,1633,1651">,</WORD>
<WORD coords="1335,1644,1372,1597,1644">4</WORD>
<WORD coords="1426,1661,1710,1587,1646">hombres</WORD>
<WORD coords="1747,1651,1762,1612,1651">;</WORD>
<WORD coords="1800,1663,2242,1590,1644">Heterogéneos</WORD>
<WORD coords="2301,1661,2486,1609,1643">aque-</WORD>
</LINE>
<LINE>
<WORD coords="191,1755,306,1698,1753">llos</WORD>
<WORD coords="364,1773,547,1716,1751">cuyas</WORD>
<WORD coords="596,1752,893,1696,1750">unidades</WORD>
<WORD coords="941,1750,1049,1713,1749">son</WORD>
<WORD coords="1103,1750,1177,1694,1750">de</WORD>
<WORD coords="1228,1750,1555,1691,1748">diferentes</WORD>
<WORD coords="1609,1767,1881,1694,1748">especies</WORD>
<WORD coords="1919,1765,1936,1737,1757">,</WORD>
<WORD coords="1997,1749,2083,1693,1748">asi</WORD>
<WORD coords="2140,1750,2247,1713,1749">son</WORD>
<WORD coords="2300,1748,2337,1699,1749">6</WORD>
<WORD coords="2388,1767,2489,1714,1748">pe-</WORD>
</LINE>
<LINE>
<WORD coords="191,1863,290,1821,1861">sos</WORD>
<WORD coords="324,1871,338,1845,1865">,</WORD>
<WORD coords="386,1859,426,1809,1859">4</WORD>
<WORD coords="491,1859,840,1819,1856">manzanas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="351,1966,428,1905,1963">Se</WORD>
<WORD coords="482,1962,635,1905,1961">debe</WORD>
<WORD coords="677,1960,851,1916,1958">notar</WORD>
<WORD coords="886,1964,902,1928,1963">:</WORD>
<WORD coords="950,1962,1000,1911,1961">1.</WORD>
<WORD coords="1027,1942,1062,1904,1942">c</WORD>
<WORD coords="1107,1974,1250,1906,1962">Que</WORD>
<WORD coords="1312,1962,1401,1908,1961">los</WORD>
<WORD coords="1450,1963,1734,1925,1959">números</WORD>
<WORD coords="1790,1964,2119,1906,1961">abstractos</WORD>
<WORD coords="2167,1965,2345,1907,1962">todos</WORD>
<WORD coords="2378,1960,2489,1922,1959">son</WORD>
</LINE>
<LINE>
<WORD coords="186,2087,600,2011,2064">homogéneos</WORD>
<WORD coords="631,2069,647,2035,2068">;</WORD>
<WORD coords="702,2068,758,2019,2066">2.</WORD>
<WORD coords="876,2080,1015,2009,2064">Que</WORD>
<WORD coords="1070,2066,1125,2011,2065">la</WORD>
<WORD coords="1192,2087,1684,2011,2065">homogeneidad</WORD>
<WORD coords="1747,2066,1819,2011,2066">de</WORD>
<WORD coords="1873,2066,1962,2013,2066">los</WORD>
<WORD coords="2014,2069,2298,2032,2067">números</WORD>
<WORD coords="2350,2069,2493,2033,2066">con-</WORD>
</LINE>
<LINE>
<WORD coords="193,2169,392,2128,2168">cretos</WORD>
<WORD coords="447,2187,720,2113,2169">depende</WORD>
<WORD coords="755,2183,771,2157,2181">,</WORD>
<WORD coords="799,2180,885,2114,2169">de,</WORD>
<WORD coords="929,2188,1043,2135,2171">que</WORD>
<WORD coords="1090,2172,1192,2136,2171">sus</WORD>
<WORD coords="1237,2173,1533,2116,2171">unidades</WORD>
<WORD coords="1589,2192,1944,2135,2169">convengan</WORD>
<WORD coords="1996,2171,2065,2137,2170">en</WORD>
<WORD coords="2111,2175,2278,2132,2174">tener</WORD>
<WORD coords="2312,2191,2492,2122,2176">aquel</WORD>
</LINE>
<LINE>
<WORD coords="195,2278,462,2219,2273">atributo</WORD>
<WORD coords="511,2275,551,2218,2276">ó</WORD>
<WORD coords="612,2291,946,2219,2273">propiedad</WORD>
<WORD coords="978,2291,993,2264,2291">,</WORD>
<WORD coords="1029,2293,1143,2241,2277">que</WORD>
<WORD coords="1203,2279,1511,2223,2277">trabemos</WORD>
<WORD coords="1572,2280,1606,2245,2280">a</WORD>
<WORD coords="1654,2288,2161,2223,2278">consideración;</WORD>
<WORD coords="2228,2281,2280,2247,2281">v.</WORD>
<WORD coords="2316,2301,2373,2248,2289">g.</WORD>
<WORD coords="2429,2285,2494,2228,2284">Si</WORD>
</LINE>
<LINE>
<WORD coords="195,2377,432,2321,2375">calculo</WORD>
<WORD coords="473,2377,563,2322,2376">los</WORD>
<WORD coords="614,2381,903,2319,2377">hombres</WORD>
<WORD coords="946,2398,1058,2345,2380">que</WORD>
<WORD coords="1119,2401,1234,2326,2379">hay</WORD>
<WORD coords="1296,2383,1365,2347,2382">en</WORD>
<WORD coords="1421,2384,1536,2348,2383">una</WORD>
<WORD coords="1570,2383,1704,2348,2382">casa</WORD>
<WORD coords="1739,2390,1756,2372,2386">,</WORD>
<WORD coords="1783,2383,1814,2336,2383">3</WORD>
<WORD coords="1871,2387,2152,2332,2385">hombres</WORD>
<WORD coords="2184,2406,2220,2350,2396">y</WORD>
<WORD coords="2252,2387,2291,2337,2387">4</WORD>
<WORD coords="2320,2389,2495,2333,2387">hom-</WORD>
</LINE>
<LINE>
<WORD coords="193,2483,333,2425,2480">bres</WORD>
<WORD coords="377,2482,549,2444,2480">serán</WORD>
<WORD coords="607,2485,894,2445,2482">números</WORD>
<WORD coords="946,2508,1355,2428,2484">homogéneos</WORD>
<WORD coords="1388,2502,1403,2457,2500">;</WORD>
<WORD coords="1456,2499,1596,2452,2487">pero</WORD>
<WORD coords="1647,2489,1696,2435,2488">si</WORD>
<WORD coords="1765,2507,2052,2449,2490">computo</WORD>
<WORD coords="2112,2494,2199,2440,2492">los</WORD>
<WORD coords="2259,2496,2499,2440,2494">vivien-</WORD>
</LINE>
<LINE>
<WORD coords="192,2583,284,2538,2583">tes</WORD>
<WORD coords="345,2603,460,2549,2587">que</WORD>
<WORD coords="503,2605,619,2529,2585">hay</WORD>
<WORD coords="668,2587,739,2552,2587">en</WORD>
<WORD coords="799,2589,855,2536,2588">la</WORD>
<WORD coords="907,2589,1124,2534,2588">misma</WORD>
<WORD coords="1173,2593,1308,2555,2591">casa</WORD>
<WORD coords="1346,2606,1360,2581,2599">,</WORD>
<WORD coords="1414,2593,1455,2545,2593">4</WORD>
<WORD coords="1503,2596,1789,2536,2594">hombres</WORD>
<WORD coords="1830,2609,1844,2585,2602">,</WORD>
<WORD coords="1895,2595,1929,2545,2595">6</WORD>
<WORD coords="1972,2600,2234,2545,2597">caballos</WORD>
<WORD coords="2264,2615,2280,2591,2607">,</WORD>
<WORD coords="2314,2600,2344,2553,2600">3</WORD>
<WORD coords="2402,2602,2493,2566,2601">ar-</WORD>
</LINE>
<LINE>
<WORD coords="190,2689,368,2631,2687">boles</WORD>
<WORD coords="429,2691,598,2639,2689">serán</WORD>
<WORD coords="649,2695,936,2657,2693">números</WORD>
<WORD coords="995,2717,1407,2637,2696">homogéneos</WORD>
<WORD coords="1438,2715,1455,2687,2715">,</WORD>
<WORD coords="1487,2721,1634,2661,2700">pues</WORD>
<WORD coords="1689,2702,1874,2647,2700">todos</WORD>
<WORD coords="1932,2706,2268,2648,2703">convienen</WORD>
<WORD coords="2320,2705,2393,2671,2705">en</WORD>
<WORD coords="2441,2708,2498,2652,2707">el</WORD>
</LINE>
<LINE>
<WORD coords="194,2794,463,2737,2792">atributo</WORD>
<WORD coords="509,2801,789,2741,2797">viviente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="355,2899,451,2848,2901">34.</WORD>
<WORD coords="542,2904,602,2847,2904">A</WORD>
<WORD coords="640,2903,767,2865,2901">mas</WORD>
<WORD coords="803,2904,878,2848,2903">de</WORD>
<WORD coords="936,2905,1068,2861,2904">esto</WORD>
<WORD coords="1099,2919,1114,2895,2915">,</WORD>
<WORD coords="1155,2909,1216,2871,2908">se</WORD>
<WORD coords="1263,2912,1474,2853,2908">divide</WORD>
<WORD coords="1529,2912,1582,2855,2911">el</WORD>
<WORD coords="1629,2915,1884,2873,2913">numero</WORD>
<WORD coords="1929,2915,1999,2878,2914">en</WORD>
<WORD coords="2036,2919,2257,2858,2917">Entero</WORD>
<WORD coords="2288,2934,2301,2909,2934">,</WORD>
<WORD coords="2334,2935,2497,2863,2921">g¡ué*</WORD>
</LINE>
<LINE>
<WORD coords="196,3003,376,2943,3000">brado</WORD>
<WORD coords="408,3022,447,2965,3018">y</WORD>
<WORD coords="504,3006,690,2946,3004">Misto</WORD>
<WORD coords="699,3015,725,2992,3014">+</WORD>
<WORD coords="810,3010,1037,2953,3008">Entero</WORD>
<WORD coords="1102,3013,1168,2978,3012">es</WORD>
<WORD coords="1219,3014,1274,2959,3013">el</WORD>
<WORD coords="1324,3020,1577,2981,3017">numero</WORD>
<WORD coords="1628,3037,1743,2984,3020">que</WORD>
<WORD coords="1802,3020,2008,2982,3019">consta</WORD>
<WORD coords="2056,3019,2129,2968,3019">de</WORD>
<WORD coords="2178,3026,2480,2970,3023">unidades</WORD>
</LINE>
<LINE>
<WORD coords="196,3107,431,3052,3103">cabales</WORD>
<WORD coords="485,3128,522,3073,3123">y</WORD>
<WORD coords="574,3115,800,3070,3111">esactas</WORD>
<WORD coords="838,3128,854,3083,3123">;</WORD>
<WORD coords="908,3119,1006,3059,3114">asi,,</WORD>
<WORD coords="1049,3118,1152,3083,3117">son</WORD>
<WORD coords="1214,3120,1251,3074,3120">2</WORD>
<WORD coords="1308,3142,1483,3085,3122">pesos</WORD>
<WORD coords="1516,3138,1530,3111,3129">,</WORD>
<WORD coords="1576,3121,1620,3072,3115">6-</WORD>
<WORD coords="1671,3129,1863,3090,3123">varas,</WORD>
<WORD coords="1953,3152,2269,3069,3123">^¿lebrada</WORD>
<WORD coords="2317,3127,2380,3093,3126">es</WORD>
<WORD coords="2436,3128,2492,3074,3127">el</WORD>
</LINE>
<LINE>
<WORD coords="196,3221,313,3171,3205">que</WORD>
<WORD coords="362,3209,492,3155,3208">solo</WORD>
<WORD coords="552,3232,794,3178,3214">espresa</WORD>
<WORD coords="844,3237,1043,3175,3220">partes</WORD>
<WORD coords="1097,3225,1173,3166,3223">de</WORD>
<WORD coords="1217,3224,1271,3170,3223">la</WORD>
<WORD coords="1329,3227,1560,3170,3226">unidad</WORD>
<WORD coords="1609,3247,1721,3193,3227">que</WORD>
<WORD coords="1772,3229,1833,3195,3228">se</WORD>
<WORD coords="1890,3229,1964,3174,3229">ha</WORD>
<WORD coords="2011,3252,2235,3177,3229">elejido</WORD>
<WORD coords="2275,3244,2288,3202,3238">;</WORD>
<WORD coords="2336,3232,2390,3189,3232">ía</WORD>
<WORD coords="2424,3232,2486,3200,3232">es</WORD>
</LINE>
<LINE>
<WORD coords="196,3309,306,3273,3309">son</WORD>
<WORD coords="364,3312,396,3264,3320">3</WORD>
<WORD coords="456,3339,733,3279,3316">cuarta?,</WORD>
<WORD coords="759,3322,796,3273,3325">4</WORD>
<WORD coords="850,3326,1085,3288,3324">seseos</WORD>
<WORD coords="1128,3328,1201,3275,3327">de</WORD>
<WORD coords="1259,3331,1422,3294,3328">vara.</WORD>
<WORD coords="1513,3334,1794,3276,3332">Numero</WORD>
<WORD coords="1847,3337,2019,3291,3335">misto</WORD>
<WORD coords="2075,3337,2137,3305,3336">es</WORD>
<WORD coords="2181,3336,2232,3284,3336">el</WORD>
<WORD coords="2287,3356,2402,3296,3337">qué</WORD>
<WORD coords="2432,3340,2497,3285,3338">sé</WORD>
</LINE>
<LINE>
<WORD coords="195,3435,489,3367,3416">compone</WORD>
<WORD coords="541,3422,614,3368,3421">de</WORD>
<WORD coords="658,3429,865,3383,3425">entero</WORD>
<WORD coords="917,3449,957,3393,3449">y</WORD>
<WORD coords="1007,3451,1312,3378,3434">quebrado</WORD>
<WORD coords="1358,3442,1374,3405,3439">;</WORD>
<WORD coords="1407,3437,1461,3402,3437">v.</WORD>
<WORD coords="1514,3459,1556,3404,3449">g</WORD>
<WORD coords="1632,3440,1669,3391,3440">4</WORD>
<WORD coords="1723,3460,1896,3405,3440">pesos</WORD>
<WORD coords="1940,3461,1979,3407,3452">y</WORD>
<WORD coords="2020,3444,2222,3386,3442">medio</WORD>
<WORD coords="2258,3458,2271,3434,3450">,</WORD>
<WORD coords="2326,3443,2360,3393,3443">6</WORD>
<WORD coords="2398,3445,2494,3407,3444">va-</WORD>
</LINE>
<LINE>
<WORD coords="192,3519,287,3480,3517">ras</WORD>
<WORD coords="345,3541,383,3486,3533">y</WORD>
<WORD coords="438,3521,468,3475,3523">3</WORD>
<WORD coords="536,3533,805,3488,3527">cuartas*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="360,3627,431,3571,3625">JU</WORD>
<WORD coords="480,3646,788,3576,3632">quebrado</WORD>
<WORD coords="839,3638,904,3601,3637">se</WORD>
<WORD coords="961,3645,1288,3585,3642">subdivide</WORD>
<WORD coords="1335,3646,1406,3610,3646">en</WORD>
<WORD coords="1470,3651,1786,3589,3648">ghiebrado</WORD>
<WORD coords="1822,3674,1970,3609,3653">impr</WORD>
<WORD coords="1970,3651,2007,3617,3651">-o</WORD>
<WORD coords="2014,3667,2052,3610,3608">p</WORD>
<WORD coords="2067,3651,2109,3599,3651">&apos;o</WORD>
<WORD coords="2144,3656,2183,3600,3656">ó</WORD>
<WORD coords="2243,3663,2484,3605,3661">Niñe-</WORD>
</LINE>
<LINE>
<WORD coords="189,3728,256,3690,3727">ro</WORD>
<WORD coords="295,3752,681,3672,3733">faccionario</WORD>
<WORD coords="735,3752,771,3703,3752">y</WORD>
<WORD coords="830,3741,903,3707,3741">en</WORD>
<WORD coords="968,3762,1288,3690,3747">Quebrado</WORD>
<WORD coords="1365,3753,1433,3699,3752">de</WORD>
<WORD coords="1488,3776,1826,3702,3755">quebrado*.</WORD>
<WORD coords="1891,3774,2178,3678,3761">Québráá</WORD>
<WORD coords="2281,3790,2498,3715,3767">ínipl^</WORD>
</LINE>
<LINE>
<WORD coords="181,3854,289,3780,3838">fio</WORD>
<WORD coords="345,3832,408,3799,3831">es</WORD>
<WORD coords="463,3834,515,3780,3833">el</WORD>
<WORD coords="566,3856,682,3803,3838">que</WORD>
<WORD coords="732,3849,1067,3791,3845">reuniendo</WORD>
<WORD coords="1120,3869,1317,3812,3852">partes</WORD>
<WORD coords="1365,3857,1438,3801,3856">de</WORD>
<WORD coords="1491,3858,1542,3807,3857">la</WORD>
<WORD coords="1607,3864,1834,3812,3863">unidad</WORD>
<WORD coords="1875,3879,1888,3857,3879">,</WORD>
<WORD coords="1927,3890,2119,3794,3869">rgu&amp;l</WORD>
<WORD coords="2185,3874,2218,3821,3872">ó</WORD>
<WORD coords="2281,3871,2307,3839,3871">e</WORD>
<WORD coords="2351,3869,2496,3817,3868">cede</WORD>
</LINE>
<LINE>
<WORD coords="196,3931,224,3897,3931">a</WORD>
<WORD coords="281,3933,333,3882,3932">la</WORD>
<WORD coords="394,3957,668,3886,3938">unidad;</WORD>
<WORD coords="703,3946,789,3891,3945">asi</WORD>
<WORD coords="847,3953,966,3913,3950">son,</WORD>
<WORD coords="1011,3952,1044,3903,3955">3</WORD>
<WORD coords="1105,3975,1362,3903,3956">tercios,</WORD>
<WORD coords="1396,3960,1429,3915,3960">5</WORD>
<WORD coords="1494,3969,1774,3910,3964">mitades.</WORD>
<WORD coords="1867,3996,1964,3917,3983">%</WORD>
<WORD coords="2007,3971,2049,3922,3968">,V</WORD>
<WORD coords="2080,3975,2184,3944,3975">^</WORD>
<WORD coords="2245,3978,2314,3924,3977">de</WORD>
<WORD coords="2362,4005,2502,3896,3974">$i¿&gt;</WORD>
</LINE>
<LINE>
<WORD coords="198,4038,376,3979,4034">érado</WORD>
<WORD coords="421,4041,483,4007,4040">es</WORD>
<WORD coords="538,4046,592,3992,4045">el</WORD>
<WORD coords="649,4067,766,4012,4049">que</WORD>
<WORD coords="822,4074,1064,4017,4053">espresa</WORD>
<WORD coords="1119,4078,1316,4019,4061">partes</WORD>
<WORD coords="1366,4065,1437,4013,4065">de</WORD>
<WORD coords="1485,4069,1538,4015,4068">la</WORD>
<WORD coords="1587,4091,1754,4030,4072">parte</WORD>
<WORD coords="1814,4077,1887,4021,4077">d*</WORD>
<WORD coords="1938,4082,1991,4032,4082">¿a</WORD>
<WORD coords="2035,4086,2258,4027,4084">unidad</WORD>
<WORD coords="2290,4096,2308,4048,4088">¡</WORD>
<WORD coords="2350,4081,2402,4044,4081">v.</WORD>
<WORD coords="2438,4101,2482,4040,4101">g</WORD>
<WORD coords="2480,4092,2498,4061,4092">f</WORD>
</LINE>
<LINE>
<WORD coords="204,4143,293,4083,4142">ha</WORD>
<WORD coords="348,4150,541,4091,4147">mitad</WORD>
<WORD coords="596,4154,671,4096,4154">de</WORD>
<WORD coords="739,4159,855,4118,4157">una</WORD>
<WORD coords="909,4164,1098,4106,4161">tercia</WORD>
<WORD coords="1156,4169,1231,4110,4168">de</WORD>
<WORD coords="1283,4177,1450,4133,4172">vaia.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0021.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0022.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0022.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1798,612,1946,520,610">12</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="881,743,1312,672,728">Finalmente,</WORD>
<WORD coords="1365,729,1628,669,726">Numero</WORD>
<WORD coords="1692,748,1907,671,727">Dígito</WORD>
<WORD coords="1960,727,1988,690,727">o</WORD>
<WORD coords="2035,749,2254,668,726">Simple</WORD>
<WORD coords="2295,726,2357,689,725">es</WORD>
<WORD coords="2404,725,2458,670,725">el</WORD>
<WORD coords="2511,746,2628,689,728">que</WORD>
<WORD coords="2681,730,2889,682,728">consta</WORD>
<WORD coords="2940,730,3019,671,729">de</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="722,840,801,801,838">un</WORD>
<WORD coords="853,835,981,782,833">solo</WORD>
<WORD coords="1032,854,1384,778,831">guarismo,</WORD>
<WORD coords="1443,832,1620,796,830">como</WORD>
<WORD coords="1664,846,1884,779,839">5,9;</WORD>
<WORD coords="1940,852,2281,777,830">Compuesto</WORD>
<WORD coords="2335,830,2397,796,830">es</WORD>
<WORD coords="2446,829,2499,776,829">el</WORD>
<WORD coords="2555,848,2670,794,832">que</WORD>
<WORD coords="2719,832,2784,796,832">se</WORD>
<WORD coords="2845,834,3019,795,832">com-</WORD>
</LINE>
<LINE>
<WORD coords="721,964,873,906,941">pone</WORD>
<WORD coords="919,940,997,887,940">de</WORD>
<WORD coords="1057,938,1165,884,937">d-s</WORD>
<WORD coords="1214,936,1248,902,936">©</WORD>
<WORD coords="1298,938,1425,901,936">mas</WORD>
<WORD coords="1471,957,1810,882,937">guarismos</WORD>
<WORD coords="1843,951,1858,926,944">,</WORD>
<WORD coords="1916,937,2067,883,936">tales</WORD>
<WORD coords="2125,937,2230,900,936">son</WORD>
<WORD coords="2294,937,2369,889,936">10</WORD>
<WORD coords="2402,950,2414,925,943">,</WORD>
<WORD coords="2460,936,2599,883,935">250.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="885,1044,977,995,1043">35,</WORD>
<WORD coords="1036,1039,1040,1028,1041">.</WORD>
<WORD coords="1070,1045,1327,989,1043">Escolio.</WORD>
<WORD coords="1417,1044,1603,988,1043">Como</WORD>
<WORD coords="1661,1042,1717,989,1042">la</WORD>
<WORD coords="1773,1045,2004,988,1043">unidad</WORD>
<WORD coords="2060,1041,2123,1006,1041">es</WORD>
<WORD coords="2182,1065,2278,987,1051">(4)</WORD>
<WORD coords="2322,1043,2638,985,1040">arbitraria</WORD>
<WORD coords="2658,1057,2674,1032,1043">,</WORD>
<WORD coords="2705,1043,2768,1006,1042">se</WORD>
<WORD coords="2823,1063,3022,986,1042">sigue,</WORD>
</LINE>
<LINE>
<WORD coords="721,1171,839,1116,1150">qne</WORD>
<WORD coords="887,1151,970,1098,1150">las</WORD>
<WORD coords="1029,1168,1225,1104,1148">paites</WORD>
<WORD coords="1259,1149,1333,1096,1149">de</WORD>
<WORD coords="1391,1148,1444,1094,1148">la</WORD>
<WORD coords="1488,1149,1718,1092,1148">unidad</WORD>
<WORD coords="1770,1148,1857,1094,1147">las</WORD>
<WORD coords="1911,1164,2202,1091,1145">podemos</WORD>
<WORD coords="2232,1146,2430,1102,1145">tomar</WORD>
<WORD coords="2471,1147,2647,1110,1144">conreo</WORD>
<WORD coords="2696,1158,3018,1091,1148">unidades;</WORD>
</LINE>
<LINE>
<WORD coords="719,1260,806,1204,1256">asi</WORD>
<WORD coords="875,1274,1168,1202,1254">podemos</WORD>
<WORD coords="1223,1272,1466,1210,1254">reputar</WORD>
<WORD coords="1541,1269,1648,1217,1252">por</WORD>
<WORD coords="1704,1254,2004,1196,1250">unidades</WORD>
<WORD coords="2064,1248,2151,1195,1247">los</WORD>
<WORD coords="2204,1250,2395,1195,1248">reales</WORD>
<WORD coords="2422,1267,2441,1237,1252">,</WORD>
<WORD coords="2501,1252,2740,1196,1251">medios</WORD>
<WORD coords="2799,1271,3026,1196,1250">reales,</WORD>
</LINE>
<LINE>
<WORD coords="717,1363,1028,1305,1358">cuartillos</WORD>
<WORD coords="1080,1361,1187,1304,1358">&amp;c.</WORD>
<WORD coords="1250,1367,1365,1324,1359">que</WORD>
<WORD coords="1423,1357,1530,1321,1356">son</WORD>
<WORD coords="1591,1375,1788,1315,1357">partes</WORD>
<WORD coords="1840,1357,1914,1301,1355">de</WORD>
<WORD coords="1961,1355,2040,1320,1354">un</WORD>
<WORD coords="2102,1372,2262,1317,1353">peso.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="880,1465,1113,1409,1464">Vamos</WORD>
<WORD coords="1164,1464,1346,1409,1462">ahora</WORD>
<WORD coords="1400,1462,1427,1417,1462">á</WORD>
<WORD coords="1473,1480,1810,1426,1461">ocuparnos</WORD>
<WORD coords="1871,1462,1946,1406,1461">de</WORD>
<WORD coords="2007,1462,2094,1407,1461">las</WORD>
<WORD coords="2140,1480,2533,1403,1459">operaciones</WORD>
<WORD coords="2590,1484,2736,1407,1473">(22)</WORD>
<WORD coords="2781,1483,2897,1424,1463">que</WORD>
<WORD coords="2952,1466,3019,1424,1464">se</WORD>
</LINE>
<LINE>
<WORD coords="715,1573,907,1513,1571">hacen</WORD>
<WORD coords="960,1569,1071,1534,1569">con</WORD>
<WORD coords="1131,1571,1219,1517,1570">los</WORD>
<WORD coords="1270,1570,1558,1533,1568">números</WORD>
<WORD coords="1615,1570,1870,1524,1567">enteros.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1041,1749,1586,1689,1747">OPERACION</WORD>
<WORD coords="1636,1744,1753,1687,1744">DE</WORD>
<WORD coords="1799,1747,2128,1686,1745">SUMAR</WORD>
<WORD coords="2175,1745,2235,1684,1745">O</WORD>
<WORD coords="2282,1747,2715,1686,1744">ADICION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="881,1924,978,1873,1923">36.</WORD>
<WORD coords="1064,1923,1284,1867,1922">Sumar</WORD>
<WORD coords="1334,1922,1393,1887,1922">es</WORD>
<WORD coords="1451,1923,1661,1867,1922">reunir</WORD>
<WORD coords="1717,1921,1788,1882,1921">en</WORD>
<WORD coords="1838,1921,1919,1882,1920">un</WORD>
<WORD coords="1973,1919,2096,1863,1918">solo</WORD>
<WORD coords="2149,1919,2391,1880,1918">numero</WORD>
<WORD coords="2433,1918,2488,1862,1916">el</WORD>
<WORD coords="2525,1920,2694,1862,1918">valor</WORD>
<WORD coords="2743,1921,2816,1864,1921">de</WORD>
<WORD coords="2858,1923,2962,1865,1922">dos</WORD>
<WORD coords="2990,1925,3028,1882,1925">o</WORD>
</LINE>
<LINE>
<WORD coords="718,2031,843,1993,2029">mas</WORD>
<WORD coords="898,2031,1179,1991,2029">números</WORD>
<WORD coords="1231,2049,1656,1974,2027">homogéneos:</WORD>
<WORD coords="1696,2026,1748,1972,2025">la</WORD>
<WORD coords="1809,2044,2130,1969,2023">operación</WORD>
<WORD coords="2163,2040,2180,2013,2040">,</WORD>
<WORD coords="2232,2042,2337,1987,2023">por</WORD>
<WORD coords="2383,2024,2588,1968,2023">medio</WORD>
<WORD coords="2645,2023,2721,1966,2023">de</WORD>
<WORD coords="2780,2027,2835,1972,2026">la</WORD>
<WORD coords="2892,2031,3029,1976,2028">cual</WORD>
</LINE>
<LINE>
<WORD coords="715,2137,778,2101,2136">ae</WORD>
<WORD coords="844,2157,1075,2082,2133">ejecuta</WORD>
<WORD coords="1129,2137,1259,2091,2135">esto</WORD>
<WORD coords="1294,2151,1312,2121,2143">,</WORD>
<WORD coords="1356,2136,1421,2099,2134">se</WORD>
<WORD coords="1475,2133,1654,2080,2132">llama</WORD>
<WORD coords="1711,2133,1981,2076,2131">Adición.</WORD>
<WORD coords="2040,2129,2166,2071,2128">Los</WORD>
<WORD coords="2217,2129,2504,2092,2128">números</WORD>
<WORD coords="2542,2141,2559,2114,2141">,</WORD>
<WORD coords="2611,2147,2727,2093,2129">que</WORD>
<WORD coords="2798,2131,2860,2094,2130">se</WORD>
<WORD coords="2909,2133,3030,2077,2132">dan</WORD>
</LINE>
<LINE>
<WORD coords="714,2262,808,2205,2240">pai</WORD>
<WORD coords="827,2242,854,2207,2242">a</WORD>
<WORD coords="904,2251,1157,2205,2242">sumar,</WORD>
<WORD coords="1208,2241,1271,2206,2241">se</WORD>
<WORD coords="1324,2240,1542,2185,2238">llaman</WORD>
<WORD coords="1612,2241,1941,2179,2238">Sumandos</WORD>
<WORD coords="1993,2237,2029,2200,2237">o</WORD>
<WORD coords="2094,2239,2381,2179,2233">Partidas</WORD>
<WORD coords="2417,2246,2435,2196,2241">;</WORD>
<WORD coords="2491,2231,2545,2177,2230">el</WORD>
<WORD coords="2597,2236,2852,2196,2233">numero</WORD>
<WORD coords="2908,2254,3027,2198,2237">que</WORD>
</LINE>
<LINE>
<WORD coords="713,2366,957,2310,2346">espresa</WORD>
<WORD coords="1000,2346,1054,2292,2345">el</WORD>
<WORD coords="1114,2347,1281,2294,2345">valor</WORD>
<WORD coords="1323,2346,1397,2293,2345">de</WORD>
<WORD coords="1451,2346,1544,2291,2345">los</WORD>
<WORD coords="1603,2346,1814,2290,2344">demás</WORD>
<WORD coords="1864,2344,1928,2307,2343">se</WORD>
<WORD coords="1987,2342,2122,2286,2341">dice</WORD>
<WORD coords="2174,2341,2353,2286,2340">Suma</WORD>
<WORD coords="2392,2340,2424,2301,2340">o</WORD>
<WORD coords="2474,2360,2820,2283,2339">Agregado.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="884,2457,1203,2399,2453">Problema</WORD>
<WORD coords="1237,2457,1251,2422,2457">:</WORD>
<WORD coords="1300,2457,1515,2398,2453">Sumar</WORD>
<WORD coords="1560,2454,1834,2413,2451">números</WORD>
<WORD coords="1878,2468,2124,2394,2448">dígitos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="875,2562,1250,2504,2560">Resolución.</WORD>
<WORD coords="1298,2563,1592,2507,2560">Súmense</WORD>
<WORD coords="1651,2558,1765,2504,2557">dos</WORD>
<WORD coords="1816,2557,2101,2518,2554">números</WORD>
<WORD coords="2133,2570,2149,2542,2570">,</WORD>
<WORD coords="2180,2574,2361,2498,2553">luego</WORD>
<WORD coords="2409,2553,2442,2516,2553">a</WORD>
<WORD coords="2489,2551,2617,2504,2549">esta</WORD>
<WORD coords="2650,2551,2821,2512,2550">suma</WORD>
<WORD coords="2851,2570,3028,2510,2550">agre-</WORD>
</LINE>
<LINE>
<WORD coords="712,2685,962,2611,2662">gúesete</WORD>
<WORD coords="1014,2667,1148,2622,2665">otro</WORD>
<WORD coords="1198,2669,1451,2632,2667">numero</WORD>
<WORD coords="1479,2684,1497,2657,2684">,</WORD>
<WORD coords="1524,2686,1563,2631,2676">y</WORD>
<WORD coords="1618,2666,1704,2611,2664">asi</WORD>
<WORD coords="1752,2665,1824,2629,2665">en</WORD>
<WORD coords="1878,2664,2170,2609,2663">adelante.</WORD>
<WORD coords="2266,2664,2414,2608,2662">Para</WORD>
<WORD coords="2455,2661,2700,2603,2659">hacerlo</WORD>
<WORD coords="2751,2658,2864,2618,2656">con</WORD>
<WORD coords="2894,2659,3028,2616,2657">m»8</WORD>
</LINE>
<LINE>
<WORD coords="711,2775,1011,2714,2771">facilidad</WORD>
<WORD coords="1069,2794,1321,2729,2773">tengase</WORD>
<WORD coords="1375,2773,1454,2718,2773">de</WORD>
<WORD coords="1509,2773,1811,2718,2772">memoria</WORD>
<WORD coords="1868,2771,1922,2721,2771">la</WORD>
<WORD coords="1975,2791,2282,2713,2768">siguiente</WORD>
<WORD coords="2319,2776,2336,2736,2776">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1409,2939,1692,2881,2937">TABLA</WORD>
<WORD coords="1746,2936,1975,2879,2936">PARÍ</WORD>
<WORD coords="2020,2937,2359,2876,2934">SUMAR.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="722,3104,751,3052,3104">1</WORD>
<WORD coords="788,3124,826,3067,3114">y</WORD>
<WORD coords="862,3104,887,3056,3104">1</WORD>
<WORD coords="925,3106,1033,3068,3103">snn</WORD>
<WORD coords="1066,3103,1100,3054,3103">2</WORD>
<WORD coords="1133,3129,1149,3052,3116">j</WORD>
<WORD coords="1187,3103,1220,3054,3103">2</WORD>
<WORD coords="1252,3121,1291,3065,3113">y</WORD>
<WORD coords="1323,3105,1373,3054,3104">2.</WORD>
<WORD coords="1390,3106,1403,3091,3106">.</WORD>
<WORD coords="1446,3108,1490,3053,3108">4</WORD>
<WORD coords="1526,3125,1542,3045,3112">|</WORD>
<WORD coords="1581,3099,1611,3051,3099">3</WORD>
<WORD coords="1647,3120,1685,3065,3109">y</WORD>
<WORD coords="1718,3098,1749,3049,3098">3</WORD>
<WORD coords="1786,3102,1798,3087,3100">.</WORD>
<WORD coords="1845,3097,1880,3047,3097">6</WORD>
<WORD coords="1919,3121,1928,3041,3110">j</WORD>
<WORD coords="1965,3099,2004,3049,3099">4</WORD>
<WORD coords="2032,3117,2070,3064,3107">y</WORD>
<WORD coords="2103,3098,2142,3047,3098">4</WORD>
<WORD coords="2169,3098,2182,3084,3098">.</WORD>
<WORD coords="2231,3097,2263,3050,3097">8</WORD>
<WORD coords="2304,3116,2315,3041,3107">|</WORD>
<WORD coords="2352,3096,2386,3048,3097">5</WORD>
<WORD coords="2417,3116,2454,3060,3107">y</WORD>
<WORD coords="2488,3095,2545,3046,3095">5.</WORD>
<WORD coords="2582,3093,2657,3043,3094">10</WORD>
<WORD coords="2692,3112,2715,3035,3105">[</WORD>
<WORD coords="2740,3089,2777,3038,3093">6</WORD>
<WORD coords="2808,3104,2844,3050,3101">y</WORD>
<WORD coords="2874,3087,2933,3034,3090">6.</WORD>
<WORD coords="2971,3088,3046,3035,3087">12</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="715,3216,747,3165,3216">1</WORD>
<WORD coords="783,3231,820,3175,3222">y</WORD>
<WORD coords="857,3213,889,3167,3215">2</WORD>
<WORD coords="1059,3213,1090,3166,3213">3</WORD>
<WORD coords="1131,3237,1141,3161,3225">j</WORD>
<WORD coords="1179,3214,1212,3169,3214">2</WORD>
<WORD coords="1247,3233,1286,3178,3223">y</WORD>
<WORD coords="1318,3214,1395,3162,3211">3..</WORD>
<WORD coords="1446,3211,1479,3165,3211">5</WORD>
<WORD coords="1519,3232,1528,3159,3221">¡</WORD>
<WORD coords="1566,3210,1598,3163,3210">3</WORD>
<WORD coords="1631,3230,1669,3176,3220">y</WORD>
<WORD coords="1699,3210,1781,3159,3209">4..</WORD>
<WORD coords="1832,3209,1865,3157,3209">7</WORD>
<WORD coords="1901,3233,2049,3149,3211">|~4,y</WORD>
<WORD coords="2081,3207,2116,3160,3207">5</WORD>
<WORD coords="2121,3229,2162,3193,3229">y</WORD>
<WORD coords="2206,3210,2248,3150,3210">9</WORD>
<WORD coords="2285,3228,2300,3150,3228">J</WORD>
<WORD coords="2338,3203,2370,3158,3204">5</WORD>
<WORD coords="2411,3223,2449,3167,3214">y</WORD>
<WORD coords="2483,3202,2534,3152,3202">6.</WORD>
<WORD coords="2577,3206,2643,3148,3206">H</WORD>
<WORD coords="2683,3221,2822,3143,3207">|.6y</WORD>
<WORD coords="2859,3191,2911,3140,3195">7.</WORD>
<WORD coords="2952,3189,3049,3140,3188">13.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="711,3321,742,3270,3321">1</WORD>
<WORD coords="780,3338,815,3284,3330">y</WORD>
<WORD coords="853,3322,997,3272,3318">3.,...</WORD>
<WORD coords="1033,3320,1073,3267,3320">4</WORD>
<WORD coords="1111,3339,1119,3263,3329">|</WORD>
<WORD coords="1159,3320,1193,3272,3320">2</WORD>
<WORD coords="1225,3339,1261,3284,3329">y</WORD>
<WORD coords="1295,3320,1375,3271,3318">4..</WORD>
<WORD coords="1422,3318,1459,3269,3318">6</WORD>
<WORD coords="1500,3339,1509,3264,3327">j</WORD>
<WORD coords="1548,3316,1579,3269,3316">3</WORD>
<WORD coords="1617,3336,1652,3281,3325">y</WORD>
<WORD coords="1684,3315,1762,3267,3314">5..</WORD>
<WORD coords="1814,3313,1846,3267,3313">8</WORD>
<WORD coords="1884,3335,1898,3258,3324">|</WORD>
<WORD coords="1936,3312,1984,3267,3311">4-</WORD>
<WORD coords="1995,3330,2026,3279,3314">y</WORD>
<WORD coords="2048,3312,2131,3231,3312">1.</WORD>
<WORD coords="2174,3317,2247,3264,3315">10</WORD>
<WORD coords="2285,3332,2294,3256,3323">¡</WORD>
<WORD coords="2334,3309,2364,3265,3311">5</WORD>
<WORD coords="2399,3329,2433,3276,3321">y</WORD>
<WORD coords="2469,3310,2520,3260,3310">7.</WORD>
<WORD coords="2561,3309,2631,3261,3310">12</WORD>
<WORD coords="2673,3330,2683,3253,3322">\</WORD>
<WORD coords="2720,3305,2754,3255,3309">6</WORD>
<WORD coords="2787,3323,2821,3269,3318">y</WORD>
<WORD coords="2856,3303,2909,3256,3306">8.</WORD>
<WORD coords="2940,3299,3036,3247,3298">14.</WORD>
</LINE>
<LINE>
<WORD coords="715,3435,747,3386,3435">1</WORD>
<WORD coords="784,3448,821,3394,3440">y</WORD>
<WORD coords="855,3432,1007,3381,3431">4....</WORD>
<WORD coords="1044,3429,1079,3382,3429">5</WORD>
<WORD coords="1116,3454,1128,3376,3442">|</WORD>
<WORD coords="1167,3430,1200,3384,3430">2</WORD>
<WORD coords="1232,3442,1272,3393,3437">y</WORD>
<WORD coords="1304,3433,1389,3380,3429">5,.</WORD>
<WORD coords="1441,3429,1472,3377,3429">7</WORD>
<WORD coords="1509,3448,1522,3372,3436">|</WORD>
<WORD coords="1562,3424,1592,3377,3424">3</WORD>
<WORD coords="1623,3443,1658,3388,3433">y</WORD>
<WORD coords="1694,3423,1775,3371,3421">6..</WORD>
<WORD coords="1824,3425,1860,3369,3425">9</WORD>
<WORD coords="1896,3442,1911,3363,3431">|</WORD>
<WORD coords="1947,3417,1997,3368,3426">4</WORD>
<WORD coords="2015,3435,2048,3381,3421">y</WORD>
<WORD coords="2087,3417,2165,3365,3416">7..</WORD>
<WORD coords="2201,3415,2263,3365,3416">11</WORD>
<WORD coords="2308,3438,2323,3359,3429">|</WORD>
<WORD coords="2362,3412,2393,3368,3416">5</WORD>
<WORD coords="2425,3431,2462,3377,3426">y</WORD>
<WORD coords="2495,3411,2545,3366,3413">8.</WORD>
<WORD coords="2589,3410,2655,3364,3413">13</WORD>
<WORD coords="2695,3434,2707,3356,3427">¡</WORD>
<WORD coords="2738,3410,2779,3360,3415">6</WORD>
<WORD coords="2810,3430,2847,3375,3425">y</WORD>
<WORD coords="2881,3411,2936,3358,3413">9.</WORD>
<WORD coords="2973,3412,3046,3360,3411">1$</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="711,3539,742,3488,3539">1</WORD>
<WORD coords="779,3560,820,3502,3548">y</WORD>
<WORD coords="850,3537,885,3491,3538">5</WORD>
<WORD coords="1032,3537,1073,3486,3537">6</WORD>
<WORD coords="1112,3557,1124,3484,3546">j</WORD>
<WORD coords="1159,3535,1193,3489,3535">2</WORD>
<WORD coords="1224,3556,1265,3499,3547">y</WORD>
<WORD coords="1296,3538,1377,3486,3535">6..</WORD>
<WORD coords="1428,3533,1460,3485,3533">8</WORD>
<WORD coords="1502,3548,1511,3477,3538">|</WORD>
<WORD coords="1552,3528,1581,3483,3528">3</WORD>
<WORD coords="1618,3548,1652,3493,3538">y</WORD>
<WORD coords="1687,3529,1742,3477,3527">7.</WORD>
<WORD coords="1781,3527,1854,3478,3526">10</WORD>
<WORD coords="1889,3548,1899,3471,3537">|</WORD>
<WORD coords="1937,3523,1979,3475,3524">4</WORD>
<WORD coords="2004,3543,2042,3488,3534">y</WORD>
<WORD coords="2078,3526,2160,3475,3523">8..</WORD>
<WORD coords="2199,3519,2267,3474,3521">12</WORD>
<WORD coords="2304,3542,2323,3428,3534">j</WORD>
<WORD coords="2359,3517,2393,3471,3521">5</WORD>
<WORD coords="2424,3537,2462,3481,3531">y</WORD>
<WORD coords="2496,3518,2550,3464,3519">9.</WORD>
<WORD coords="2589,3520,2680,3464,3519">14.</WORD>
<WORD coords="2714,3541,2744,3459,3541">J.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="714,3650,745,3599,3650">1</WORD>
<WORD coords="785,3662,820,3610,3653">y</WORD>
<WORD coords="853,3645,889,3596,3644">6</WORD>
<WORD coords="1039,3643,1072,3593,3643">7</WORD>
<WORD coords="1110,3665,1122,3589,3653">|</WORD>
<WORD coords="1159,3642,1192,3597,3642">2</WORD>
<WORD coords="1223,3661,1258,3606,3650">y</WORD>
<WORD coords="1297,3640,1373,3590,3638">7..</WORD>
<WORD coords="1423,3633,1458,3584,3633">9</WORD>
<WORD coords="1497,3615,1506,3581,3624">*</WORD>
<WORD coords="1544,3633,1577,3586,3633">3</WORD>
<WORD coords="1611,3654,1652,3598,3643">y</WORD>
<WORD coords="1684,3632,1738,3585,3632">S.</WORD>
<WORD coords="1778,3632,1843,3583,3632">11</WORD>
<WORD coords="1885,3652,1896,3574,3642">]</WORD>
<WORD coords="1934,3629,1973,3579,3631">4</WORD>
<WORD coords="2001,3648,2036,3592,3640">y</WORD>
<WORD coords="2072,3628,2151,3574,3628">9..</WORD>
<WORD coords="2185,3628,2253,3576,3628">13</WORD>
<WORD coords="2291,3648,2307,3568,3648">|</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="716,3755,746,3704,3755">1</WORD>
<WORD coords="782,3771,821,3716,3761">y</WORD>
<WORD coords="853,3752,887,3700,3751">7</WORD>
<WORD coords="921,3751,1009,3734,3748">....</WORD>
<WORD coords="1044,3748,1076,3701,3748">8</WORD>
<WORD coords="1115,3770,1126,3692,3758">|</WORD>
<WORD coords="1165,3747,1198,3700,3747">2</WORD>
<WORD coords="1231,3768,1270,3712,3759">y</WORD>
<WORD coords="1299,3750,1354,3690,3746">8.</WORD>
<WORD coords="1390,3747,1461,3695,3745">10</WORD>
<WORD coords="1499,3764,1510,3687,3753">|</WORD>
<WORD coords="1548,3740,1579,3691,3741">3</WORD>
<WORD coords="1611,3761,1646,3705,3753">y</WORD>
<WORD coords="1682,3745,1766,3687,3742">9..</WORD>
<WORD coords="1785,3740,1856,3690,3740">12</WORD>
<WORD coords="1895,3758,1916,3679,3758">[</WORD>
</LINE>
<LINE>
<WORD coords="717,3867,747,3817,3867">1</WORD>
<WORD coords="781,3881,819,3825,3866">y</WORD>
<WORD coords="1044,3852,1079,3804,3852">9</WORD>
<WORD coords="1117,3854,1131,3797,3854">I</WORD>
<WORD coords="1164,3852,1200,3806,3852">2</WORD>
<WORD coords="1229,3875,1271,3815,3864">y</WORD>
<WORD coords="1301,3854,1379,3802,3852">9„</WORD>
<WORD coords="1421,3851,1487,3801,3851">11</WORD>
<WORD coords="1527,3870,1544,3791,3870">|</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="716,3975,748,3923,3975">%</WORD>
<WORD coords="780,3986,820,3930,3976">y</WORD>
<WORD coords="852,3967,1103,3910,3963">9.....10.</WORD>
<WORD coords="1147,3982,1172,3902,3982">I</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0022.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0023.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0023.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1214,398,1371,305,397">13</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="112,550,150,487,550">9</WORD>
<WORD coords="176,566,216,506,556">y</WORD>
<WORD coords="252,547,491,427,547">r*.14</WORD>
<WORD coords="546,559,563,479,559">f</WORD>
<WORD coords="597,535,631,485,535">8</WORD>
<WORD coords="655,554,696,495,542">y</WORD>
<WORD coords="728,531,764,479,530">9</WORD>
<WORD coords="795,530,808,514,530">.</WORD>
<WORD coords="841,528,915,471,527">16</WORD>
<WORD coords="950,535,966,466,532">|</WORD>
<WORD coords="999,521,1038,466,525">9</WORD>
<WORD coords="1063,540,1097,480,535">y</WORD>
<WORD coords="1133,518,1209,464,520">9..</WORD>
<WORD coords="1258,516,1353,458,515">18.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="114,653,150,598,653">7</WORD>
<WORD coords="181,670,215,614,659">y</WORD>
<WORD coords="249,649,284,600,649">8</WORD>
<WORD coords="361,651,487,594,647">.15</WORD>
<WORD coords="551,663,566,587,661">|</WORD>
<WORD coords="601,659,800,583,641">8y9..</WORD>
<WORD coords="837,634,910,579,635">17</WORD>
<WORD coords="946,655,962,574,655">|</WORD>
</LINE>
<LINE>
<WORD coords="113,761,151,703,761">7</WORD>
<WORD coords="176,778,216,719,765">y</WORD>
<WORD coords="248,750,283,701,751">9</WORD>
<WORD coords="407,750,497,697,749">16.</WORD>
<WORD coords="539,770,555,692,770">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="271,860,367,806,856">37.</WORD>
<WORD coords="463,852,782,794,850">Problema</WORD>
<WORD coords="811,852,828,813,849">:</WORD>
<WORD coords="879,846,1096,789,844">Sumar</WORD>
<WORD coords="1152,840,1429,797,837">números</WORD>
<WORD coords="1482,856,1867,783,833">compuestos*</WORD>
</LINE>
<LINE>
<WORD coords="279,961,661,902,958">Resolución.</WORD>
<WORD coords="708,954,826,900,949">1.°</WORD>
<WORD coords="901,965,1289,894,945">Coloqúense</WORD>
<WORD coords="1343,941,1431,887,940">los</WORD>
<WORD coords="1505,940,1836,883,937">sumandos</WORD>
<WORD coords="1889,936,2046,893,934">unos</WORD>
<WORD coords="2105,952,2327,873,932">debajo</WORD>
<WORD coords="2373,932,2454,869,930">de</WORD>
</LINE>
<LINE>
<WORD coords="119,1081,337,1024,1069">•tros,</WORD>
<WORD coords="393,1065,469,1010,1065">de</WORD>
<WORD coords="518,1063,703,1005,1060">modo</WORD>
<WORD coords="754,1074,872,1021,1056">que</WORD>
<WORD coords="922,1053,986,1017,1052">se</WORD>
<WORD coords="1049,1067,1505,989,1046">correspondan</WORD>
<WORD coords="1551,1043,1853,985,1040">unidades</WORD>
<WORD coords="1911,1059,2136,981,1037">debajo</WORD>
<WORD coords="2190,1038,2267,982,1037">de</WORD>
<WORD coords="2314,1035,2452,976,1033">uni-</WORD>
</LINE>
<LINE>
<WORD coords="125,1180,314,1118,1174">dades</WORD>
<WORD coords="347,1186,364,1158,1177">,</WORD>
<WORD coords="408,1169,669,1114,1166">decenas</WORD>
<WORD coords="715,1181,935,1106,1160">debajo</WORD>
<WORD coords="970,1157,1046,1102,1157">de</WORD>
<WORD coords="1090,1155,1355,1099,1151">decenas</WORD>
<WORD coords="1391,1151,1515,1090,1149">fcfc.</WORD>
<WORD coords="1574,1167,1616,1111,1159">y</WORD>
<WORD coords="1663,1145,1848,1091,1144">tírese</WORD>
<WORD coords="1899,1145,2025,1101,1142">una</WORD>
<WORD coords="2087,1162,2232,1103,1141">raya</WORD>
<WORD coords="2284,1140,2455,1080,1137">hori-</WORD>
</LINE>
<LINE>
<WORD coords="127,1280,329,1222,1276">zontal</WORD>
<WORD coords="365,1287,380,1243,1280">;</WORD>
<WORD coords="427,1273,549,1218,1267">2.°</WORD>
<WORD coords="611,1285,980,1210,1265">Empiezese</WORD>
<WORD coords="1039,1278,1148,1221,1259">por</WORD>
<WORD coords="1205,1258,1260,1203,1258">la</WORD>
<WORD coords="1313,1275,1578,1201,1253">primera</WORD>
<WORD coords="1635,1251,1919,1194,1249">columna</WORD>
<WORD coords="1968,1247,2046,1191,1246">de</WORD>
<WORD coords="2103,1246,2162,1190,1245">la</WORD>
<WORD coords="2189,1244,2459,1184,1243">derecha</WORD>
</LINE>
<LINE>
<WORD coords="126,1384,159,1330,1383">á</WORD>
<WORD coords="204,1383,409,1343,1380">sumar</WORD>
<WORD coords="465,1377,640,1320,1375">todas</WORD>
<WORD coords="693,1373,780,1318,1372">las</WORD>
<WORD coords="823,1370,1124,1312,1367">unidades</WORD>
<WORD coords="1159,1378,1176,1352,1378">,</WORD>
<WORD coords="1202,1383,1244,1325,1372">y</WORD>
<WORD coords="1300,1361,1355,1305,1361">si</WORD>
<WORD coords="1405,1359,1461,1304,1358">la</WORD>
<WORD coords="1517,1358,1693,1318,1356">suma</WORD>
<WORD coords="1740,1353,1872,1299,1352">solo</WORD>
<WORD coords="1934,1352,1999,1315,1351">se</WORD>
<WORD coords="2044,1362,2341,1311,1348">compone</WORD>
<WORD coords="2378,1348,2457,1291,1347">de</WORD>
</LINE>
<LINE>
<WORD coords="126,1491,431,1431,1487">unidades</WORD>
<WORD coords="509,1481,668,1438,1480">estas</WORD>
<WORD coords="706,1477,769,1440,1476">se</WORD>
<WORD coords="817,1492,1012,1436,1473">ponen</WORD>
<WORD coords="1056,1487,1318,1416,1469">después</WORD>
<WORD coords="1369,1464,1444,1408,1463">de</WORD>
<WORD coords="1491,1462,1548,1409,1461">la</WORD>
<WORD coords="1606,1479,1747,1422,1458">raya</WORD>
<WORD coords="1808,1479,2028,1400,1456">debajo</WORD>
<WORD coords="2084,1455,2159,1399,1454">de</WORD>
<WORD coords="2203,1453,2290,1397,1452">las</WORD>
<WORD coords="2321,1452,2459,1397,1450">uni-</WORD>
</LINE>
<LINE>
<WORD coords="132,1595,326,1538,1593">dades</WORD>
<WORD coords="360,1591,376,1556,1589">:</WORD>
<WORD coords="431,1587,482,1532,1587">si</WORD>
<WORD coords="536,1585,598,1551,1584">se</WORD>
<WORD coords="655,1600,950,1543,1580">compone</WORD>
<WORD coords="1009,1576,1086,1522,1576">de</WORD>
<WORD coords="1136,1574,1339,1519,1572">dieces</WORD>
<WORD coords="1401,1569,1637,1512,1566">cabales</WORD>
<WORD coords="1675,1580,1695,1552,1575">,</WORD>
<WORD coords="1750,1563,1812,1527,1562">se</WORD>
<WORD coords="1874,1580,2027,1523,1560">pone</WORD>
<WORD coords="2091,1561,2171,1523,1559">un</WORD>
<WORD coords="2221,1557,2363,1518,1556">cero</WORD>
<WORD coords="2419,1574,2465,1515,1574">y</WORD>
</LINE>
<LINE>
<WORD coords="134,1699,198,1661,1698">se</WORD>
<WORD coords="256,1715,533,1638,1693">guardan</WORD>
<WORD coords="584,1690,671,1637,1690">las</WORD>
<WORD coords="716,1690,979,1633,1685">decenas</WORD>
<WORD coords="1020,1685,1027,1663,1685">:</WORD>
<WORD coords="1038,1698,1182,1641,1678">para</WORD>
<WORD coords="1237,1677,1535,1619,1674">sumarlas</WORD>
<WORD coords="1581,1672,1694,1631,1670">con</WORD>
<WORD coords="1753,1666,1809,1612,1665">el</WORD>
<WORD coords="1855,1686,2082,1609,1664">primer</WORD>
<WORD coords="2148,1683,2467,1606,1660">guarismo</WORD>
</LINE>
<LINE>
<WORD coords="133,1804,209,1749,1803">de</WORD>
<WORD coords="262,1802,319,1747,1801">la</WORD>
<WORD coords="379,1821,654,1742,1798">segunda</WORD>
<WORD coords="704,1797,991,1740,1792">columna</WORD>
<WORD coords="1015,1788,1033,1751,1786">:</WORD>
<WORD coords="1088,1786,1140,1733,1785">si</WORD>
<WORD coords="1197,1784,1404,1734,1780">consta</WORD>
<WORD coords="1460,1781,1538,1724,1780">de</WORD>
<WORD coords="1605,1788,1867,1723,1778">decenas</WORD>
<WORD coords="1923,1793,1965,1735,1787">y</WORD>
<WORD coords="2013,1770,2311,1709,1767">unidades</WORD>
<WORD coords="2339,1780,2355,1752,1780">,</WORD>
<WORD coords="2400,1765,2467,1725,1764">se</WORD>
</LINE>
<LINE>
<WORD coords="134,1913,412,1852,1909">escriben</WORD>
<WORD coords="471,1907,556,1853,1906">las</WORD>
<WORD coords="613,1905,910,1843,1900">unidades</WORD>
<WORD coords="949,1919,985,1860,1906">y</WORD>
<WORD coords="1042,1894,1131,1839,1893">las</WORD>
<WORD coords="1182,1893,1446,1839,1889">decenas</WORD>
<WORD coords="1493,1886,1556,1851,1885">se</WORD>
<WORD coords="1607,1883,1893,1843,1881">reservan</WORD>
<WORD coords="1957,1894,2101,1836,1873">para</WORD>
<WORD coords="2165,1873,2468,1814,1869">sumarlas</WORD>
</LINE>
<LINE>
<WORD coords="131,2019,251,1980,2018">con</WORD>
<WORD coords="312,2016,371,1961,2015">la</WORD>
<WORD coords="426,2013,709,1957,2010">columna</WORD>
<WORD coords="764,2006,840,1948,2006">de</WORD>
<WORD coords="911,2003,995,1949,2002">las</WORD>
<WORD coords="1053,2001,1361,1946,1997">decenas;</WORD>
<WORD coords="1411,1994,1465,1944,1993">3.</WORD>
<WORD coords="1490,1974,1525,1937,1984">°</WORD>
<WORD coords="1608,1992,1866,1935,1986">Súmese</WORD>
<WORD coords="1931,2000,2195,1927,1981">después</WORD>
<WORD coords="2251,1976,2309,1920,1975">la</WORD>
<WORD coords="2366,1973,2470,1937,1972">co-</WORD>
</LINE>
<LINE>
<WORD coords="138,2124,344,2067,2121">lumna</WORD>
<WORD coords="394,2117,478,2061,2117">de</WORD>
<WORD coords="551,2114,636,2059,2114">las</WORD>
<WORD coords="677,2123,990,2057,2109">decenas,</WORD>
<WORD coords="1022,2105,1309,2046,2103">teniendo</WORD>
<WORD coords="1365,2101,1631,2040,2097">cuidado</WORD>
<WORD coords="1681,2093,1755,2037,2092">de</WORD>
<WORD coords="1822,2091,2029,2051,2089">sumar</WORD>
<WORD coords="2081,2083,2193,2045,2082">con</WORD>
<WORD coords="2247,2080,2302,2024,2079">el</WORD>
<WORD coords="2350,2096,2474,2019,2077">pri-</WORD>
</LINE>
<LINE>
<WORD coords="134,2230,268,2190,2227">mer</WORD>
<WORD coords="331,2245,644,2167,2221">guarismo</WORD>
<WORD coords="701,2216,789,2162,2215">las</WORD>
<WORD coords="867,2214,1129,2159,2211">decenas</WORD>
<WORD coords="1177,2221,1294,2169,2206">que</WORD>
<WORD coords="1359,2204,1424,2167,2204">se</WORD>
<WORD coords="1478,2223,1823,2142,2198">guardaron</WORD>
<WORD coords="1858,2211,1875,2182,2211">,</WORD>
<WORD coords="1928,2213,2233,2130,2188">poniendo</WORD>
<WORD coords="2294,2185,2475,2130,2183">dece-</WORD>
</LINE>
<LINE>
<WORD coords="137,2333,248,2296,2331">nas</WORD>
<WORD coords="305,2330,542,2270,2327">cuando</WORD>
<WORD coords="588,2324,645,2269,2323">la</WORD>
<WORD coords="712,2322,889,2283,2320">suma</WORD>
<WORD coords="941,2319,1023,2282,2318">no</WORD>
<WORD coords="1079,2334,1238,2260,2314">llega</WORD>
<WORD coords="1284,2311,1314,2260,2311">á</WORD>
<WORD coords="1373,2311,1518,2253,2309">diez</WORD>
<WORD coords="1550,2309,1566,2275,2308">:</WORD>
<WORD coords="1622,2305,1762,2265,2303">cero</WORD>
<WORD coords="1791,2318,1810,2289,2313">,</WORD>
<WORD coords="1866,2302,2109,2239,2298">cuando</WORD>
<WORD coords="2172,2309,2474,2246,2290">compone</WORD>
</LINE>
<LINE>
<WORD coords="134,2437,343,2380,2435">dieces</WORD>
<WORD coords="389,2454,641,2376,2430">justos,</WORD>
<WORD coords="687,2447,726,2390,2436">y</WORD>
<WORD coords="770,2425,820,2369,2425">si</WORD>
<WORD coords="877,2443,1020,2386,2422">pasa</WORD>
<WORD coords="1072,2421,1149,2365,2420">de</WORD>
<WORD coords="1193,2418,1329,2363,2417">diez</WORD>
<WORD coords="1368,2434,1387,2402,2424">,</WORD>
<WORD coords="1413,2415,1717,2357,2412">escríbase</WORD>
<WORD coords="1765,2409,1821,2352,2408">el</WORD>
<WORD coords="1875,2407,2133,2365,2403">numero</WORD>
<WORD coords="2188,2417,2321,2358,2398">que</WORD>
<WORD coords="2377,2395,2471,2357,2394">es-</WORD>
</LINE>
<LINE>
<WORD coords="132,2542,285,2484,2541">cede</WORD>
<WORD coords="335,2559,375,2503,2547">y</WORD>
<WORD coords="424,2536,648,2482,2535">llévese</WORD>
<WORD coords="702,2533,758,2479,2532">el</WORD>
<WORD coords="815,2530,949,2487,2529">otro</WORD>
<WORD coords="1004,2546,1141,2489,2526">para</WORD>
<WORD coords="1191,2525,1459,2467,2521">sumarlo</WORD>
<WORD coords="1517,2517,1629,2480,2516">con</WORD>
<WORD coords="1664,2515,1721,2460,2514">ei</WORD>
<WORD coords="1774,2533,2003,2458,2511">primer</WORD>
<WORD coords="2048,2526,2356,2446,2503">guarismo</WORD>
<WORD coords="2392,2500,2474,2443,2500">de</WORD>
</LINE>
<LINE>
<WORD coords="134,2647,193,2591,2646">la</WORD>
<WORD coords="249,2645,529,2590,2643">columna</WORD>
<WORD coords="588,2660,888,2583,2637">siguiente</WORD>
<WORD coords="922,2638,942,2600,2635">:</WORD>
<WORD coords="999,2633,1084,2577,2632">asi</WORD>
<WORD coords="1139,2630,1204,2594,2630">se</WORD>
<WORD coords="1257,2628,1545,2570,2625">continúa</WORD>
<WORD coords="1604,2622,1773,2566,2620">hasta</WORD>
<WORD coords="1831,2639,2020,2564,2616">llegar</WORD>
<WORD coords="2063,2611,2094,2560,2618">á</WORD>
<WORD coords="2145,2612,2201,2557,2611">la</WORD>
<WORD coords="2251,2610,2474,2553,2607">ultima</WORD>
</LINE>
<LINE>
<WORD coords="131,2752,417,2695,2749">columna</WORD>
<WORD coords="476,2746,551,2691,2745">de</WORD>
<WORD coords="605,2744,662,2690,2743">la</WORD>
<WORD coords="703,2759,1024,2684,2739">izquierda</WORD>
<WORD coords="1055,2751,1072,2724,2751">,</WORD>
<WORD coords="1114,2755,1153,2700,2744">y</WORD>
<WORD coords="1211,2733,1261,2678,2732">si</WORD>
<WORD coords="1320,2732,1394,2696,2731">en</WORD>
<WORD coords="1449,2729,1578,2687,2728">esta</WORD>
<WORD coords="1638,2727,1811,2687,2725">suma</WORD>
<WORD coords="1865,2723,2140,2665,2718">resultan</WORD>
<WORD coords="2198,2732,2463,2659,2712">algunas</WORD>
</LINE>
<LINE>
<WORD coords="136,2859,436,2799,2854">unidades</WORD>
<WORD coords="484,2851,559,2797,2850">de</WORD>
<WORD coords="618,2867,857,2791,2847">especie</WORD>
<WORD coords="911,2862,1190,2787,2841">superior</WORD>
<WORD coords="1222,2854,1238,2827,2846">,</WORD>
<WORD coords="1291,2839,1446,2793,2836">estas</WORD>
<WORD coords="1500,2834,1564,2798,2834">se</WORD>
<WORD coords="1623,2832,1942,2761,2829">colocarán</WORD>
<WORD coords="1999,2824,2027,2772,2830">á</WORD>
<WORD coords="2090,2822,2144,2767,2821">la</WORD>
<WORD coords="2195,2837,2472,2762,2819">izquier-</WORD>
</LINE>
<LINE>
<WORD coords="139,2967,218,2906,2965">da</WORD>
<WORD coords="249,2960,348,2905,2959">del</WORD>
<WORD coords="412,2978,724,2901,2955">guarismo</WORD>
<WORD coords="758,2970,874,2916,2951">que</WORD>
<WORD coords="921,2950,983,2915,2949">se</WORD>
<WORD coords="1036,2948,1113,2890,2948">ha</WORD>
<WORD coords="1161,2947,1384,2888,2944">escrito</WORD>
<WORD coords="1417,2961,1636,2884,2940">debajo</WORD>
<WORD coords="1688,2938,1764,2882,2938">de</WORD>
<WORD coords="1805,2936,1861,2881,2936">la</WORD>
<WORD coords="1899,2935,2115,2875,2931">ultima</WORD>
<WORD coords="2159,2927,2467,2871,2924">columna.</WORD>
</LINE>
<LINE>
<WORD coords="221,3084,514,3008,3062">Ejemplo.</WORD>
<WORD coords="604,3060,899,3003,3056">Súmense</WORD>
<WORD coords="934,3054,1023,3000,3053">los</WORD>
<WORD coords="1084,3053,1370,3012,3049">números</WORD>
<WORD coords="1424,3059,1509,2993,3048">A,</WORD>
<WORD coords="1541,3055,1617,2988,3045">B,</WORD>
<WORD coords="1649,3042,1719,2987,3042">C.</WORD>
<WORD coords="1890,3035,1923,2989,3041">8</WORD>
<WORD coords="1971,3033,2002,2988,3040">5</WORD>
<WORD coords="2047,3030,2088,2983,3030">O</WORD>
<WORD coords="2127,3030,2160,2983,3039">8</WORD>
<WORD coords="2298,3029,2381,2978,3028">A.</WORD>
</LINE>
<LINE>
<WORD coords="304,3171,645,3109,3165">Colocadas</WORD>
<WORD coords="694,3163,781,3107,3162">las</WORD>
<WORD coords="838,3161,1135,3102,3158">unidades</WORD>
<WORD coords="1176,3177,1316,3099,3154">bajo</WORD>
<WORD coords="1352,3153,1429,3095,3152">de</WORD>
<WORD coords="1481,3148,1566,3095,3148">las</WORD>
<WORD coords="1602,3147,1734,3088,3144">uni-</WORD>
<WORD coords="1898,3138,1936,3087,3145">9</WORD>
<WORD coords="1978,3138,2015,3087,3145">6</WORD>
<WORD coords="2056,3138,2097,3090,3138">O</WORD>
<WORD coords="2139,3137,2173,3089,3145">5</WORD>
<WORD coords="2310,3136,2385,3077,3136">B»</WORD>
</LINE>
<LINE>
<WORD coords="139,3276,329,3218,3273">dades</WORD>
<WORD coords="360,3277,375,3255,3274">,</WORD>
<WORD coords="408,3271,495,3218,3270">las</WORD>
<WORD coords="540,3269,798,3213,3267">decenas</WORD>
<WORD coords="830,3281,1049,3208,3263">debajo</WORD>
<WORD coords="1082,3262,1156,3207,3261">de</WORD>
<WORD coords="1182,3260,1269,3206,3259">las</WORD>
<WORD coords="1303,3258,1562,3202,3255">decenas</WORD>
<WORD coords="1594,3265,1722,3195,3250">fcfc,</WORD>
<WORD coords="1968,3241,2005,3191,3254">6</WORD>
<WORD coords="2046,3242,2088,3196,3242">O</WORD>
<WORD coords="2132,3242,2167,3196,3250">2</WORD>
<WORD coords="2308,3240,2382,3184,3240">C.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="137,3390,424,3323,3377">empiezo</WORD>
<WORD coords="494,3373,524,3322,3372">á</WORD>
<WORD coords="598,3372,803,3333,3370">sumar</WORD>
<WORD coords="888,3368,943,3314,3367">la</WORD>
<WORD coords="995,3367,1277,3310,3364">columna</WORD>
<WORD coords="1350,3360,1610,3300,3357">derecha</WORD>
<WORD coords="1683,3371,1725,3315,3366">y</WORD>
<WORD coords="1813,3340,1842,3296,3340">v</WORD>
<WORD coords="1840,3342,1952,3325,3353">—</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="137,3505,284,3430,3484">digo</WORD>
<WORD coords="316,3484,331,3449,3482">:</WORD>
<WORD coords="388,3481,421,3434,3481">8</WORD>
<WORD coords="474,3499,512,3444,3488">y</WORD>
<WORD coords="567,3477,602,3431,3477">5</WORD>
<WORD coords="660,3478,766,3440,3476">son</WORD>
<WORD coords="835,3475,904,3424,3474">13</WORD>
<WORD coords="962,3494,1002,3435,3483">y</WORD>
<WORD coords="1069,3472,1106,3424,3471">2</WORD>
<WORD coords="1156,3471,1268,3430,3469">son</WORD>
<WORD coords="1324,3466,1391,3417,3465">15</WORD>
<WORD coords="1423,3470,1444,3430,3468">/</WORD>
<WORD coords="1509,3460,1583,3423,3459">en</WORD>
<WORD coords="1636,3458,1707,3409,3460">15</WORD>
<WORD coords="1799,3457,1919,3407,3462">18</WORD>
<WORD coords="1969,3454,2003,3403,3460">7</WORD>
<WORD coords="2055,3454,2244,3404,3455">15..</WORD>
<WORD coords="2303,3453,2384,3396,3451">D.</WORD>
</LINE>
<LINE>
<WORD coords="133,3591,433,3533,3587">unidades</WORD>
<WORD coords="489,3602,609,3529,3584">hay</WORD>
<WORD coords="645,3583,672,3534,3582">1</WORD>
<WORD coords="724,3582,948,3526,3579">decena</WORD>
<WORD coords="1001,3596,1039,3541,3585">y</WORD>
<WORD coords="1098,3575,1133,3527,3574">5</WORD>
<WORD coords="1188,3574,1484,3513,3569">unidades</WORD>
<WORD coords="1513,3579,1528,3554,3579">,</WORD>
<WORD coords="1555,3583,1704,3526,3563">pues</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="132,3695,349,3641,3693">coloco</WORD>
<WORD coords="390,3691,475,3638,3690">las</WORD>
<WORD coords="528,3689,563,3642,3689">5</WORD>
<WORD coords="617,3689,915,3630,3686">unidades</WORD>
<WORD coords="962,3703,1179,3626,3681">debajo</WORD>
<WORD coords="1232,3679,1308,3623,3678">de</WORD>
<WORD coords="1350,3677,1407,3623,3676">la</WORD>
<WORD coords="1453,3673,1735,3617,3671">columna</WORD>
<WORD coords="1787,3667,1864,3611,3666">de</WORD>
<WORD coords="1916,3664,2217,3603,3660">unidades</WORD>
<WORD coords="2272,3676,2312,3620,3675">y</WORD>
<WORD coords="2350,3658,2461,3601,3657">He-</WORD>
</LINE>
<LINE>
<WORD coords="133,3802,216,3741,3801">*b</WORD>
<WORD coords="262,3802,383,3759,3798">una</WORD>
<WORD coords="439,3799,666,3740,3796">decena</WORD>
<WORD coords="717,3814,862,3754,3793">para</WORD>
<WORD coords="923,3793,1189,3733,3789">sumaria</WORD>
<WORD coords="1243,3783,1356,3745,3782">con</WORD>
<WORD coords="1401,3783,1459,3725,3782">la</WORD>
<WORD coords="1509,3781,1795,3721,3778">columna</WORD>
<WORD coords="1866,3792,2171,3710,3768">siguiente</WORD>
<WORD coords="2220,3767,2300,3708,3766">de</WORD>
<WORD coords="2351,3766,2459,3705,3765">de-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0023.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0024.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0024.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="734,633,915,586,631">cenas</WORD>
<WORD coords="947,635,964,596,644">:</WORD>
<WORD coords="998,641,1178,597,639">como</WORD>
<WORD coords="1223,642,1302,600,641">no</WORD>
<WORD coords="1354,665,1477,586,643">hay</WORD>
<WORD coords="1530,669,1797,590,648">ninguna</WORD>
<WORD coords="1841,657,2072,598,654">decena</WORD>
<WORD coords="2100,672,2117,644,666">,</WORD>
<WORD coords="2146,661,2384,601,658">escribo</WORD>
<WORD coords="2428,663,2488,606,662">la</WORD>
<WORD coords="2541,666,2778,608,665">unidad</WORD>
<WORD coords="2816,674,2913,608,672">dfr</WORD>
<WORD coords="2958,677,3069,598,677">áfe</WORD>
</LINE>
<LINE>
<WORD coords="735,736,886,694,734">cena</WORD>
<WORD coords="944,757,1064,702,741">que</WORD>
<WORD coords="1137,748,1407,692,744">reservé.</WORD>
<WORD coords="1501,751,1657,694,750">Páso</WORD>
<WORD coords="1717,753,1746,701,755">á</WORD>
<WORD coords="1795,755,1849,699,754">la</WORD>
<WORD coords="1899,761,2135,714,758">tercera</WORD>
<WORD coords="2196,766,2477,708,763">columna</WORD>
<WORD coords="2549,770,2626,713,768">de</WORD>
<WORD coords="2679,774,2958,726,771">centenas</WORD>
<WORD coords="3024,799,3083,730,781">jt</WORD>
</LINE>
<LINE>
<WORD coords="729,859,878,783,837">digo</WORD>
<WORD coords="908,843,924,808,843">:</WORD>
<WORD coords="979,841,1012,796,853">5</WORD>
<WORD coords="1052,865,1095,808,862">y</WORD>
<WORD coords="1146,848,1183,796,854">6</WORD>
<WORD coords="1226,849,1335,812,847">son</WORD>
<WORD coords="1375,854,1439,801,855">11</WORD>
<WORD coords="1487,874,1527,818,867">y</WORD>
<WORD coords="1554,854,1589,803,857">6</WORD>
<WORD coords="1623,857,1730,820,855">son</WORD>
<WORD coords="1783,859,1857,808,859">17</WORD>
<WORD coords="1883,877,1900,849,877">,</WORD>
<WORD coords="1935,885,2135,826,862">pongo</WORD>
<WORD coords="2196,866,2250,811,866">e!</WORD>
<WORD coords="2312,870,2348,817,870">7</WORD>
<WORD coords="2376,889,2415,833,880">y</WORD>
<WORD coords="2455,871,2612,814,870">llevo</WORD>
<WORD coords="2669,875,2787,836,874">uno</WORD>
<WORD coords="2822,877,2836,844,877">:</WORD>
<WORD coords="2873,881,3063,821,879">Sumo</WORD>
</LINE>
<LINE>
<WORD coords="729,942,792,884,941">la</WORD>
<WORD coords="839,950,1122,891,947">columna</WORD>
<WORD coords="1161,952,1237,896,951">de</WORD>
<WORD coords="1287,959,1556,898,956">millares</WORD>
<WORD coords="1611,963,1688,904,962">de</WORD>
<WORD coords="1747,966,1873,921,964">este</WORD>
<WORD coords="1929,967,2113,913,966">modo</WORD>
<WORD coords="2146,970,2159,933,970">:</WORD>
<WORD coords="2215,971,2251,922,971">8</WORD>
<WORD coords="2301,992,2342,937,983">y</WORD>
<WORD coords="2388,974,2413,925,974">1</WORD>
<WORD coords="2480,995,2598,939,977">que</WORD>
<WORD coords="2666,981,2901,924,978">llevaba</WORD>
<WORD coords="2949,984,3063,945,983">son</WORD>
</LINE>
<LINE>
<WORD coords="729,1045,774,989,1059">9</WORD>
<WORD coords="822,1068,864,1010,1070">y</WORD>
<WORD coords="915,1066,987,998,1063">9,</WORD>
<WORD coords="1043,1058,1153,1016,1055">son</WORD>
<WORD coords="1210,1072,1336,1001,1066">18,</WORD>
<WORD coords="1394,1084,1591,1024,1062">pongo</WORD>
<WORD coords="1645,1067,1679,1017,1070">8</WORD>
<WORD coords="1727,1088,1769,1031,1080">y</WORD>
<WORD coords="1812,1070,1870,1016,1070">el</WORD>
<WORD coords="1919,1073,1944,1022,1073">1</WORD>
<WORD coords="2013,1076,2225,1019,1074">coloco</WORD>
<WORD coords="2283,1077,2314,1023,1077">á</WORD>
<WORD coords="2368,1079,2422,1025,1078">la</WORD>
<WORD coords="2474,1101,2793,1025,1082">izquierda</WORD>
<WORD coords="2842,1087,2940,1033,1087">del</WORD>
<WORD coords="3004,1095,3063,1040,1092">8,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="895,1166,1380,1097,1158">Demostración.</WORD>
<WORD coords="1470,1173,1698,1111,1170">Sumar</WORD>
<WORD coords="1754,1175,1818,1138,1174">es</WORD>
<WORD coords="1868,1180,2080,1123,1177">reunir</WORD>
<WORD coords="2123,1180,2197,1143,1179">en</WORD>
<WORD coords="2254,1181,2331,1145,1180">un</WORD>
<WORD coords="2388,1185,2518,1129,1183">solo</WORD>
<WORD coords="2570,1189,2827,1150,1188">numero</WORD>
<WORD coords="2872,1191,2925,1135,1190">el</WORD>
<WORD coords="2958,1192,3062,1154,1191">va-</WORD>
</LINE>
<LINE>
<WORD coords="729,1255,823,1196,1255">lor</WORD>
<WORD coords="875,1260,953,1201,1258">de</WORD>
<WORD coords="999,1263,1115,1204,1262">dos</WORD>
<WORD coords="1169,1266,1210,1210,1274">ó</WORD>
<WORD coords="1279,1269,1411,1227,1268">mas</WORD>
<WORD coords="1464,1276,1751,1233,1273">números</WORD>
<WORD coords="1805,1303,2220,1221,1281">homogéneos</WORD>
<WORD coords="2269,1306,2414,1235,1296">(36)</WORD>
<WORD coords="2464,1303,2489,1256,1297">;</WORD>
<WORD coords="2555,1292,2708,1235,1290">Pero</WORD>
<WORD coords="2770,1295,2861,1239,1294">los</WORD>
<WORD coords="2933,1301,3074,1252,1297">trer</WORD>
</LINE>
<LINE>
<WORD coords="727,1372,1065,1312,1368">sumandos</WORD>
<WORD coords="1123,1389,1214,1321,1376">A,</WORD>
<WORD coords="1271,1392,1349,1320,1377">B,</WORD>
<WORD coords="1402,1382,1452,1322,1382">C</WORD>
<WORD coords="1500,1385,1715,1323,1383">hemos</WORD>
<WORD coords="1768,1391,2041,1323,1389">reunido&apos;</WORD>
<WORD coords="2077,1392,2151,1355,1392">en</WORD>
<WORD coords="2196,1394,2251,1338,1394">el</WORD>
<WORD coords="2309,1398,2565,1358,1396">numero</WORD>
<WORD coords="2618,1398,2674,1342,1398">D</WORD>
<WORD coords="2705,1413,2724,1384,1413">,</WORD>
<WORD coords="2750,1416,2899,1360,1399">pues</WORD>
<WORD coords="2952,1403,3056,1345,1401">he-</WORD>
</LINE>
<LINE>
<WORD coords="732,1471,867,1428,1471">mos</WORD>
<WORD coords="921,1480,1182,1420,1477">reunido</WORD>
<WORD coords="1241,1485,1420,1426,1483">todas</WORD>
<WORD coords="1463,1488,1550,1430,1486">las</WORD>
<WORD coords="1604,1493,1905,1435,1491">unidades</WORD>
<WORD coords="1940,1510,1958,1482,1503">,</WORD>
<WORD coords="1997,1497,2175,1441,1496">todas</WORD>
<WORD coords="2243,1501,2327,1443,1499">las</WORD>
<WORD coords="2396,1520,2694,1445,1501">decenas,</WORD>
<WORD coords="2736,1502,2909,1446,1501">todas</WORD>
<WORD coords="2977,1507,3069,1447,1503">las</WORD>
</LINE>
<LINE>
<WORD coords="726,1583,1012,1532,1576">centenas</WORD>
<WORD coords="1052,1600,1089,1544,1598">y</WORD>
<WORD coords="1148,1585,1222,1546,1584">en</WORD>
<WORD coords="1274,1607,1521,1535,1590">general</WORD>
<WORD coords="1572,1597,1749,1538,1595">todas</WORD>
<WORD coords="1803,1598,1893,1542,1597">las</WORD>
<WORD coords="1953,1618,2150,1556,1600">partes</WORD>
<WORD coords="2182,1602,2257,1546,1602">de</WORD>
<WORD coords="2302,1623,2418,1568,1605">que</WORD>
<WORD coords="2471,1605,2534,1569,1605">se</WORD>
<WORD coords="2592,1625,2930,1568,1606">componen</WORD>
<WORD coords="2975,1612,3068,1554,1607">lo»</WORD>
</LINE>
<LINE>
<WORD coords="725,1686,1058,1628,1682">sumandos</WORD>
<WORD coords="1086,1702,1109,1651,1702">;</WORD>
<WORD coords="1156,1713,1341,1633,1690">luego</WORD>
<WORD coords="1386,1697,1444,1637,1696">la</WORD>
<WORD coords="1489,1699,1744,1642,1697">reunión</WORD>
<WORD coords="1803,1703,1879,1645,1702">de</WORD>
<WORD coords="1921,1705,2099,1649,1703">todas</WORD>
<WORD coords="2152,1707,2312,1663,1706">estas</WORD>
<WORD coords="2365,1728,2563,1665,1708">partes</WORD>
<WORD coords="2620,1728,2947,1655,1709">espresada</WORD>
<WORD coords="2990,1714,3074,1670,1713">e*</WORD>
</LINE>
<LINE>
<WORD coords="722,1785,784,1729,1784">ei</WORD>
<WORD coords="831,1794,1088,1750,1791">numero</WORD>
<WORD coords="1149,1795,1208,1739,1795">D</WORD>
<WORD coords="1265,1813,1577,1747,1799">espresará</WORD>
<WORD coords="1628,1826,1672,1755,1804">(</WORD>
<WORD coords="1679,1808,1918,1766,1806">axioma</WORD>
<WORD coords="1971,1809,2091,1758,1803">3.*</WORD>
<WORD coords="2116,1826,2162,1752,1826">J</WORD>
<WORD coords="2218,1813,2271,1757,1811">la</WORD>
<WORD coords="2312,1814,2565,1758,1812">reunión</WORD>
<WORD coords="2616,1815,2690,1758,1814">de</WORD>
<WORD coords="2742,1817,2831,1757,1813">los</WORD>
<WORD coords="2862,1834,3070,1759,1815">todos,</WORD>
</LINE>
<LINE>
<WORD coords="720,1910,841,1852,1893">que</WORD>
<WORD coords="885,1897,991,1856,1895">era</WORD>
<WORD coords="1048,1905,1133,1842,1898">L.</WORD>
<WORD coords="1188,1916,1273,1843,1909">Q.</WORD>
<WORD coords="1327,1908,1411,1849,1905">D.</WORD>
<WORD coords="1472,1908,1553,1851,1907">D.</WORD>
<WORD coords="1641,1911,1725,1853,1910">Lo</WORD>
<WORD coords="1785,1924,1922,1854,1912">§ne</WORD>
<WORD coords="1987,1918,2178,1859,1915">Debía</WORD>
<WORD coords="2231,1920,2673,1863,1919">Demostrarse.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="887,2000,982,1949,2003">38.</WORD>
<WORD coords="1017,2008,1158,1946,2002">Esc*</WORD>
<WORD coords="1194,2012,1454,1948,2009">Cuando</WORD>
<WORD coords="1501,2012,1596,1955,2011">los</WORD>
<WORD coords="1627,2016,1960,1960,2014">sumandos</WORD>
<WORD coords="2007,2037,2344,1982,2019">componen</WORD>
<WORD coords="2394,2025,2706,1970,2023">columnas</WORD>
<WORD coords="2759,2042,2906,1985,2022">muy</WORD>
<WORD coords="2949,2023,3069,1968,2022">lar»</WORD>
</LINE>
<LINE>
<WORD coords="718,2122,879,2060,2101">gas,</WORD>
<WORD coords="934,2106,1062,2051,2104">será</WORD>
<WORD coords="1125,2133,1324,2054,2111">mejor</WORD>
<WORD coords="1366,2133,1613,2075,2115">separar</WORD>
<WORD coords="1676,2119,1754,2059,2119">de</WORD>
<WORD coords="1810,2122,1931,2065,2121">seis</WORD>
<WORD coords="1986,2124,2061,2085,2123">en</WORD>
<WORD coords="2117,2126,2240,2069,2125">seis</WORD>
<WORD coords="2302,2132,2639,2073,2128">sumandos</WORD>
<WORD coords="2674,2128,2687,2092,2128">:</WORD>
<WORD coords="2731,2129,2916,2070,2127">hacer</WORD>
<WORD coords="2965,2142,3097,2083,2132">stt-v</WORD>
</LINE>
<LINE>
<WORD coords="722,2207,852,2164,2206">mas</WORD>
<WORD coords="909,2226,1209,2154,2211">parciales</WORD>
<WORD coords="1252,2238,1294,2177,2238">y</WORD>
<WORD coords="1349,2239,1615,2161,2220">después</WORD>
<WORD coords="1667,2227,1962,2170,2224">reunirías</WORD>
<WORD coords="2016,2228,2088,2191,2228">en</WORD>
<WORD coords="2146,2231,2264,2190,2230">una</WORD>
<WORD coords="2320,2232,2494,2195,2231">suma</WORD>
<WORD coords="2554,2235,2726,2180,2233">total.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="811,2313,909,2256,2316">39.</WORD>
<WORD coords="997,2322,1196,2260,2317">Escoh</WORD>
<WORD coords="1238,2325,1389,2264,2322">Para</WORD>
<WORD coords="1435,2327,1775,2270,2325">ecsaminar</WORD>
<WORD coords="1827,2331,1878,2275,2330">si</WORD>
<WORD coords="1925,2332,1978,2277,2330">la</WORD>
<WORD coords="2030,2334,2203,2297,2333">suma</WORD>
<WORD coords="2235,2336,2362,2291,2335">esta</WORD>
<WORD coords="2396,2336,2532,2279,2335">bien</WORD>
<WORD coords="2574,2340,2764,2281,2337">hecha</WORD>
<WORD coords="2795,2355,2812,2323,2346">,</WORD>
<WORD coords="2841,2337,2904,2300,2336">se</WORD>
<WORD coords="2938,2339,3075,2282,2338">vol*</WORD>
</LINE>
<LINE>
<WORD coords="719,2418,866,2364,2417">*erá</WORD>
<WORD coords="922,2420,955,2362,2427">á</WORD>
<WORD coords="1005,2424,1216,2383,2422">sumar</WORD>
<WORD coords="1268,2429,1348,2367,2428">de</WORD>
<WORD coords="1406,2453,1588,2373,2430">abajo</WORD>
<WORD coords="1643,2433,1672,2379,2434">á</WORD>
<WORD coords="1734,2436,1931,2379,2433">arriba</WORD>
<WORD coords="1965,2457,2005,2399,2447">y</WORD>
<WORD coords="2037,2438,2087,2381,2437">si</WORD>
<WORD coords="2138,2441,2260,2384,2438">sale</WORD>
<WORD coords="2304,2441,2361,2385,2440">la</WORD>
<WORD coords="2412,2443,2629,2387,2442">misma</WORD>
<WORD coords="2679,2443,2849,2405,2441">suma</WORD>
<WORD coords="2873,2456,2887,2431,2456">,</WORD>
<WORD coords="2920,2460,3066,2402,2443">pue-</WORD>
</LINE>
<LINE>
<WORD coords="717,2522,795,2462,2522">éc</WORD>
<WORD coords="850,2525,973,2484,2524">uno</WORD>
<WORD coords="1027,2528,1186,2482,2527">estar</WORD>
<WORD coords="1226,2554,1449,2493,2533">seguro</WORD>
<WORD coords="1500,2537,1579,2477,2536">de</WORD>
<WORD coords="1629,2536,1705,2499,2536">no</WORD>
<WORD coords="1747,2539,2003,2482,2538">haberse</WORD>
<WORD coords="2089,2561,2477,2488,2544">equivocado</WORD>
<WORD coords="2514,2561,2530,2512,2554">;</WORD>
<WORD coords="2584,2547,2620,2491,2547">ó</WORD>
<WORD coords="2677,2547,2941,2491,2546">también</WORD>
<WORD coords="3001,2555,3096,2506,2548">se,</WORD>
</LINE>
<LINE>
<WORD coords="718,2630,1010,2588,2628">sumaran</WORD>
<WORD coords="1075,2636,1163,2574,2634">las</WORD>
<WORD coords="1223,2641,1477,2581,2638">mismas</WORD>
<WORD coords="1535,2660,1810,2587,2641">partidas</WORD>
<WORD coords="1836,2659,1853,2633,2649">,</WORD>
<WORD coords="1884,2649,2305,2591,2647">comenzando</WORD>
<WORD coords="2364,2667,2471,2612,2650">por</WORD>
<WORD coords="2528,2651,2582,2597,2651">la</WORD>
<WORD coords="2646,2653,2923,2600,2652">columna</WORD>
<WORD coords="2972,2652,3064,2596,2652">iz.</WORD>
</LINE>
<LINE>
<WORD coords="722,2752,1020,2675,2733">quierda,</WORD>
<WORD coords="1065,2755,1374,2682,2739">poniendo</WORD>
<WORD coords="1433,2744,1521,2688,2743">las</WORD>
<WORD coords="1581,2749,1845,2688,2747">decenas</WORD>
<WORD coords="1900,2770,2019,2715,2752">que</WORD>
<WORD coords="2086,2754,2351,2699,2753">resulten</WORD>
<WORD coords="2404,2758,2479,2700,2757">de</WORD>
<WORD coords="2522,2757,2612,2701,2756">las</WORD>
<WORD coords="2660,2762,2864,2724,2760">sumas</WORD>
<WORD coords="2925,2777,3060,2720,2759">par-</WORD>
</LINE>
<LINE>
<WORD coords="719,2839,906,2781,2837">ciales</WORD>
<WORD coords="963,2843,1043,2802,2842">un</WORD>
<WORD coords="1088,2865,1265,2786,2843">lugar</WORD>
<WORD coords="1322,2849,1492,2801,2847">antes</WORD>
<WORD coords="1529,2852,1545,2815,2853">:</WORD>
<WORD coords="1631,2856,1915,2816,2854">súmense</WORD>
<WORD coords="1944,2872,1963,2844,2864">,</WORD>
<WORD coords="2011,2857,2079,2822,2856">en</WORD>
<WORD coords="2126,2860,2205,2800,2858">fin</WORD>
<WORD coords="2239,2875,2255,2848,2868">,</WORD>
<WORD coords="2336,2861,2422,2806,2860">las</WORD>
<WORD coords="2495,2863,2697,2825,2862">sumas</WORD>
<WORD coords="2760,2881,3062,2807,2862">parciales</WORD>
</LINE>
<LINE>
<WORD coords="720,2944,837,2902,2943">con</WORD>
<WORD coords="895,2947,986,2887,2945">las</WORD>
<WORD coords="1044,2951,1307,2891,2949">decenas</WORD>
<WORD coords="1354,2970,1471,2917,2954">que</WORD>
<WORD coords="1531,2977,1753,2910,2956">tengan</WORD>
<WORD coords="1806,2986,2051,2903,2960">debajo.</WORD>
<WORD coords="2142,2989,2447,2909,2965">Ejemplo.</WORD>
<WORD coords="2536,2971,2806,2910,2969">Veamos</WORD>
<WORD coords="2893,2969,2944,2913,2969">si</WORD>
<WORD coords="2994,2973,3071,2916,2972">1*</WORD>
</LINE>
<LINE>
<WORD coords="719,3051,902,3007,3050">suma</WORD>
<WORD coords="953,3055,1010,2992,3055">D</WORD>
<WORD coords="1057,3055,1258,3008,3052">estara</WORD>
<WORD coords="1304,3057,1444,2999,3056">bien</WORD>
<WORD coords="1501,3062,1717,3001,3060">hecha.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="890,3162,1235,3097,3157">Comienzo</WORD>
<WORD coords="1284,3177,1393,3123,3160">por</WORD>
<WORD coords="1447,3165,1502,3108,3164">la</WORD>
<WORD coords="1552,3171,1836,3112,3168">columna</WORD>
<WORD coords="1886,3192,2208,3116,3174">izquierda</WORD>
<WORD coords="2263,3196,2303,3137,3196">y</WORD>
</LINE>
<LINE>
<WORD coords="718,3280,869,3194,3257">digo</WORD>
<WORD coords="926,3260,961,3209,3265">8</WORD>
<WORD coords="1004,3280,1043,3223,3275">y</WORD>
<WORD coords="1099,3263,1137,3210,3267">9</WORD>
<WORD coords="1178,3265,1289,3227,3263">son</WORD>
<WORD coords="1342,3270,1416,3208,3270">17</WORD>
<WORD coords="1468,3290,1509,3233,3280">y</WORD>
<WORD coords="1557,3271,1596,3221,3271">8</WORD>
<WORD coords="1639,3272,1746,3237,3271">son</WORD>
<WORD coords="1791,3275,1869,3228,3274">25</WORD>
<WORD coords="1901,3291,1915,3266,3291">,</WORD>
<WORD coords="1963,3301,2164,3244,3278">pongo</WORD>
<WORD coords="2197,3281,2249,3228,3280">el</WORD>
<WORD coords="2284,3285,2320,3233,3285">5</WORD>
</LINE>
<LINE>
<WORD coords="721,3385,947,3296,3360">debajo</WORD>
<WORD coords="977,3385,1015,3328,3380">y</WORD>
<WORD coords="1054,3368,1111,3311,3367">el</WORD>
<WORD coords="1169,3372,1208,3321,3374">2</WORD>
<WORD coords="1265,3372,1343,3333,3371">un</WORD>
<WORD coords="1394,3394,1570,3317,3372">lugar</WORD>
<WORD coords="1594,3377,1731,3333,3376">ante</WORD>
<WORD coords="1791,3393,1815,3345,3393">;</WORD>
<WORD coords="1852,3397,1993,3326,3380">páso</WORD>
<WORD coords="2025,3383,2054,3329,3383">á</WORD>
<WORD coords="2105,3385,2157,3333,3384">la</WORD>
<WORD coords="2190,3387,2320,3343,3384">otra</WORD>
</LINE>
<LINE>
<WORD coords="719,3469,1009,3408,3464">columna</WORD>
<WORD coords="1062,3493,1101,3433,3493">y</WORD>
<WORD coords="1169,3495,1318,3417,3471">digo</WORD>
<WORD coords="1352,3476,1368,3439,3476">:</WORD>
<WORD coords="1442,3474,1478,3425,3475">9</WORD>
<WORD coords="1530,3495,1569,3441,3487">y</WORD>
<WORD coords="1631,3480,1668,3429,3480">7</WORD>
<WORD coords="1727,3481,1833,3446,3480">son</WORD>
<WORD coords="1906,3484,1977,3433,3483">16</WORD>
<WORD coords="2021,3504,2064,3449,3494">y</WORD>
<WORD coords="2108,3485,2144,3436,3485">9</WORD>
<WORD coords="2196,3489,2307,3451,3487">son</WORD>
</LINE>
<LINE>
<WORD coords="721,3556,852,3495,3551">25,</WORD>
<WORD coords="876,3550,1086,3493,3547">coloco</WORD>
<WORD coords="1126,3553,1182,3498,3552">el</WORD>
<WORD coords="1242,3556,1278,3507,3557">5</WORD>
<WORD coords="1330,3574,1370,3518,3566">y</WORD>
<WORD coords="1429,3556,1483,3503,3555">el</WORD>
<WORD coords="1532,3557,1567,3510,3558">2</WORD>
<WORD coords="1622,3558,1681,3505,3557">lo</WORD>
<WORD coords="1733,3564,1974,3509,3562">escribo</WORD>
<WORD coords="2024,3568,2100,3531,3567">un</WORD>
<WORD coords="2155,3588,2326,3515,3567">lugar</WORD>
</LINE>
<LINE>
<WORD coords="721,3627,892,3586,3624">antes</WORD>
<WORD coords="924,3644,942,3595,3641">;</WORD>
<WORD coords="978,3633,1154,3593,3630">sumo</WORD>
<WORD coords="1207,3635,1264,3577,3634">la</WORD>
<WORD coords="1311,3638,1592,3581,3635">columna</WORD>
<WORD coords="1645,3641,1722,3585,3640">de</WORD>
<WORD coords="1792,3646,2092,3590,3644">unidades</WORD>
<WORD coords="2142,3666,2181,3613,3657">y</WORD>
<WORD coords="2239,3649,2332,3594,3648">di-</WORD>
</LINE>
<LINE>
<WORD coords="719,3727,801,3668,3702">go</WORD>
<WORD coords="829,3705,842,3670,3711">:</WORD>
<WORD coords="890,3707,922,3658,3712">7</WORD>
<WORD coords="967,3725,1002,3673,3721">y</WORD>
<WORD coords="1063,3709,1097,3662,3713">8</WORD>
<WORD coords="1156,3714,1264,3677,3712">son</WORD>
<WORD coords="1316,3717,1386,3668,3716">15</WORD>
<WORD coords="1441,3727,1478,3680,3722">y</WORD>
<WORD coords="1540,3718,1575,3666,3718">7</WORD>
<WORD coords="1634,3721,1742,3685,3719">son</WORD>
<WORD coords="1809,3739,1938,3677,3731">22,</WORD>
<WORD coords="1998,3748,2197,3689,3724">pongo</WORD>
<WORD coords="2253,3728,2310,3676,3728">el</WORD>
</LINE>
<LINE>
<WORD coords="720,3788,762,3738,3793">2</WORD>
<WORD coords="812,3803,849,3742,3800">y</WORD>
<WORD coords="902,3785,988,3734,3785">las</WORD>
<WORD coords="1038,3793,1202,3744,3790">otras</WORD>
<WORD coords="1245,3796,1356,3739,3795">dos</WORD>
<WORD coords="1403,3799,1661,3741,3796">decenas</WORD>
<WORD coords="1706,3805,1949,3747,3803">escribo</WORD>
<WORD coords="2007,3807,2083,3772,3806">un</WORD>
<WORD coords="2136,3828,2309,3757,3807">lugar</WORD>
</LINE>
<LINE>
<WORD coords="725,3882,942,3821,3865">antes,</WORD>
<WORD coords="993,3871,1125,3826,3868">esto</WORD>
<WORD coords="1164,3872,1230,3836,3872">es</WORD>
<WORD coords="1303,3897,1522,3821,3875">debajo</WORD>
<WORD coords="1577,3880,1676,3824,3879">del</WORD>
<WORD coords="1730,3882,1788,3836,3882">5,</WORD>
<WORD coords="1882,3888,2096,3824,3885">Ahora</WORD>
<WORD coords="2143,3890,2320,3853,3889">sumo</WORD>
</LINE>
<LINE>
<WORD coords="719,3953,804,3892,3952">de</WORD>
<WORD coords="851,3954,1053,3910,3951">nuevo</WORD>
<WORD coords="1116,3955,1209,3893,3954">los</WORD>
<WORD coords="1257,3979,1607,3902,3961">guarismos</WORD>
<WORD coords="1664,3985,1784,3925,3966">que</WORD>
<WORD coords="1854,3967,1920,3928,3967">se</WORD>
<WORD coords="1974,3973,2174,3911,3970">hallen</WORD>
<WORD coords="2237,3974,2314,3932,3973">en</WORD>
<WORD coords="2440,3976,2478,3925,3974">2</WORD>
<WORD coords="2525,3990,2562,3922,3982">7,</WORD>
<WORD coords="2607,3979,2639,3927,3978">7</WORD>
<WORD coords="2684,3977,2722,3928,3977">2</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2510,3180,2545,3130,3180">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2677,3180,2711,3126,3180">7</WORD>
<WORD coords="2759,3179,2794,3164,3178">..</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2852,3180,2939,3125,3179">A.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2528,3283,2563,3234,3283">9</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2611,3286,2644,3235,3286">7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2690,3283,2723,3236,3283">8</WORD>
<WORD coords="2770,3285,2810,3270,3284">..</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2861,3286,2936,3227,3283">B.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2527,3385,2560,3341,3385">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2610,3385,2644,3337,3385">9</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2693,3388,2724,3339,3388">7</WORD>
<WORD coords="2777,3387,2810,3372,3385">..</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2867,3389,2940,3333,3389">C.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2454,3572,2488,3525,3572">2</WORD>
<WORD coords="2540,3571,2570,3523,3571">7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2622,3570,2654,3523,3570">7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2700,3580,2734,3526,3580">%</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2876,3576,2957,3519,3574">ü.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2439,3732,2474,3686,3733">2</WORD>
<WORD coords="2519,3734,2553,3687,3734">5</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2603,3733,2636,3687,3733">5</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2686,3733,2743,3684,3732">2.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2515,3813,2550,3767,3813">2</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2599,3813,2632,3767,3813">2</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0024.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0025.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0025.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1252,630,1420,468,617">tf</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="156,666,440,600,660">cpíumna</WORD>
<WORD coords="468,668,488,640,678">,</WORD>
<WORD coords="554,682,598,624,680">y</WORD>
<WORD coords="650,672,830,624,668">«orno</WORD>
<WORD coords="884,676,1108,612,670">resulta</WORD>
<WORD coords="1184,672,1240,614,672">la</WORD>
<WORD coords="1318,678,1540,620,675">misma</WORD>
<WORD coords="1612,684,1784,638,682">svma</WORD>
<WORD coords="1852,692,2012,626,689">2772</WORD>
<WORD coords="2096,714,2216,650,695">que</WORD>
<WORD coords="2274,704,2442,650,699">antes</WORD>
</LINE>
<LINE>
<WORD coords="156,786,456,708,764">cepcluyo</WORD>
<WORD coords="500,788,620,730,770">que</WORD>
<WORD coords="676,774,808,728,772">esta</WORD>
<WORD coords="862,776,1002,716,774">bien</WORD>
<WORD coords="1052,780,1268,718,775">hechi.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="566,944,1108,876,940">OPERACION</WORD>
<WORD coords="1190,946,1308,890,946">DE</WORD>
<WORD coords="1388,970,2050,894,960">MULTIPLICAR</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1020,1048,1056,992,1053">ó</WORD>
<WORD coords="1100,1074,1608,996,1054">multiplicación.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="252,1202,352,1148,1208">40;</WORD>
<WORD coords="406,1228,788,1146,1207">Multiplicar</WORD>
<WORD coords="840,1212,900,1174,1212">es</WORD>
<WORD coords="952,1218,1144,1166,1215">temor</WORD>
<WORD coords="1198,1222,1228,1182,1222">o</WORD>
<WORD coords="1258,1226,1462,1184,1223">sumar</WORD>
<WORD coords="1512,1226,1602,1188,1226">un</WORD>
<WORD coords="1644,1238,1884,1190,1233">numero</WORD>
<WORD coords="1914,1242,2118,1192,1240">tantas</WORD>
<WORD coords="2146,1250,2310,1210,1248">veces</WORD>
<WORD coords="2342,1266,2358,1238,1266">,</WORD>
<WORD coords="2386,1268,2486,1212,1256">ce.</WORD>
</LINE>
<LINE>
<WORD coords="146,1312,234,1270,1312">»o</WORD>
<WORD coords="276,1320,566,1256,1316">unidades</WORD>
<WORD coords="618,1318,776,1262,1317">tiene</WORD>
<WORD coords="816,1322,942,1274,1320">otro</WORD>
<WORD coords="970,1336,992,1286,1335">;</WORD>
<WORD coords="1006,1334,1020,1314,1335">,</WORD>
<WORD coords="1046,1324,1128,1270,1323">asi</WORD>
<WORD coords="1152,1340,1168,1316,1335">,</WORD>
<WORD coords="1204,1330,1258,1274,1329">si</WORD>
<WORD coords="1288,1330,1342,1276,1329">al</WORD>
<WORD coords="1394,1332,1438,1282,1332">4.</WORD>
<WORD coords="1490,1334,1546,1278,1333">lo</WORD>
<WORD coords="1604,1362,2080,1286,1343">multiplicamos</WORD>
<WORD coords="2136,1370,2244,1318,1354">por</WORD>
<WORD coords="2288,1374,2486,1238,1360">3,&apos;to-*</WORD>
</LINE>
<LINE>
<WORD coords="150,1420,458,1374,1416">litaremos</WORD>
<WORD coords="500,1424,622,1374,1421">tres</WORD>
<WORD coords="678,1426,856,1386,1423">veces</WORD>
<WORD coords="906,1426,960,1372,1425">al</WORD>
<WORD coords="998,1428,1038,1378,1435">4</WORD>
<WORD coords="1084,1444,1196,1392,1431">por</WORD>
<WORD coords="1248,1454,1366,1398,1437">que</WORD>
<WORD coords="1406,1438,1460,1384,1438">el</WORD>
<WORD coords="1516,1438,1548,1390,1440">3</WORD>
<WORD coords="1596,1448,1754,1388,1443">tiene</WORD>
<WORD coords="1804,1446,1834,1398,1446">3</WORD>
<WORD coords="1888,1460,2184,1398,1456">unidades</WORD>
<WORD coords="2218,1474,2236,1448,1468">,</WORD>
<WORD coords="2266,1462,2346,1350,1463">de&apos;</WORD>
<WORD coords="2374,1466,2476,1428,1466">es-</WORD>
</LINE>
<LINE>
<WORD coords="148,1522,208,1468,1519">ta</WORD>
<WORD coords="262,1526,556,1482,1521">manera:</WORD>
<WORD coords="586,1528,628,1476,1537">4</WORD>
<WORD coords="670,1548,714,1482,1548">+</WORD>
<WORD coords="758,1530,796,1486,1541">4</WORD>
<WORD coords="842,1540,888,1476,1543">+</WORD>
<WORD coords="928,1532,966,1482,1539">4</WORD>
<WORD coords="1006,1544,1114,1506,1539">=_</WORD>
<WORD coords="1160,1540,1252,1488,1541">12;</WORD>
<WORD coords="1342,1544,1434,1486,1544">La</WORD>
<WORD coords="1488,1564,1814,1496,1549">operación</WORD>
<WORD coords="1868,1578,1976,1522,1559">por</WORD>
<WORD coords="2030,1566,2234,1508,1564">medio</WORD>
<WORD coords="2302,1568,2380,1512,1568">de</WORD>
<WORD coords="2416,1572,2432,1516,1572">l</WORD>
<WORD coords="2440,1578,2476,1536,1578">a</WORD>
</LINE>
<LINE>
<WORD coords="150,1632,284,1568,1626">cual</WORD>
<WORD coords="354,1628,420,1590,1627">se</WORD>
<WORD coords="464,1650,700,1576,1631">ejecuta</WORD>
<WORD coords="746,1638,878,1590,1635">esto</WORD>
<WORD coords="920,1640,984,1600,1639">se</WORD>
<WORD coords="1030,1640,1048,1588,1645">1</WORD>
<WORD coords="1074,1644,1210,1606,1643">ama</WORD>
<WORD coords="1266,1670,1726,1592,1650">multiplicación</WORD>
<WORD coords="1758,1682,1782,1646,1681">,</WORD>
<WORD coords="1836,1680,1952,1628,1666">que</WORD>
<WORD coords="2010,1670,2144,1614,1668">solo</WORD>
<WORD coords="2212,1674,2276,1638,1673">se</WORD>
<WORD coords="2346,1678,2472,1622,1676">dis-</WORD>
</LINE>
<LINE>
<WORD coords="146,1752,372,1678,1728">t^gue</WORD>
<WORD coords="416,1736,492,1676,1735">de</WORD>
<WORD coords="540,1736,594,1680,1735">la</WORD>
<WORD coords="656,1760,948,1682,1739">adición,</WORD>
<WORD coords="994,1746,1066,1710,1746">en</WORD>
<WORD coords="1122,1750,1218,1712,1748">ser</WORD>
<WORD coords="1268,1754,1356,1696,1752">los</WORD>
<WORD coords="1408,1762,1738,1706,1759">sumandos</WORD>
<WORD coords="1798,1788,2054,1708,1770">iguales.</WORD>
<WORD coords="2146,1776,2218,1718,1775">El</WORD>
<WORD coords="2258,1786,2470,1742,1780">num«.</WORD>
</LINE>
<LINE>
<WORD coords="144,1834,216,1784,1834">ró</WORD>
<WORD coords="274,1854,416,1800,1836">que-</WORD>
<WORD coords="440,1840,504,1800,1840">se</WORD>
<WORD coords="558,1844,634,1784,1843">ha</WORD>
<WORD coords="666,1844,744,1786,1844">de</WORD>
<WORD coords="790,1850,990,1800,1847">tomar</WORD>
<WORD coords="1030,1854,1250,1794,1852">ciertas</WORD>
<WORD coords="1300,1862,1480,1820,1858">veces</WORD>
<WORD coords="1514,1878,1530,1852,1872">,</WORD>
<WORD coords="1554,1866,1618,1828,1864">se</WORD>
<WORD coords="1676,1872,1852,1816,1870">llama</WORD>
<WORD coords="1886,1902,2350,1820,1879">multiplicando,</WORD>
<WORD coords="2380,1892,2510,1832,1890">tal?</WORD>
</LINE>
<LINE>
<WORD coords="148,1960,218,1900,1940">e.|</WORD>
<WORD coords="262,1940,316,1886,1940">el</WORD>
<WORD coords="360,1948,452,1892,1946">4-.,</WORD>
<WORD coords="504,1948,562,1890,1947">el</WORD>
<WORD coords="606,1972,916,1910,1950">numero,</WORD>
<WORD coords="960,1974,1078,1920,1958">que</WORD>
<WORD coords="1134,1962,1246,1922,1960">cen</WORD>
<WORD coords="1300,1966,1406,1928,1965">sus</WORD>
<WORD coords="1482,1978,1782,1916,1974">unidades</WORD>
<WORD coords="1840,1998,2082,1944,1980">espresa</WORD>
<WORD coords="2144,1984,2156,1932,1984">|</WORD>
<WORD coords="2164,1988,2228,1950,1987">as</WORD>
<WORD coords="2286,1996,2470,1954,1993">veces</WORD>
</LINE>
<LINE>
<WORD coords="148,2062,264,2004,2044">que</WORD>
<WORD coords="322,2048,388,2010,2046">se</WORD>
<WORD coords="432,2050,508,1992,2049">ha</WORD>
<WORD coords="550,2054,626,1996,2053">de</WORD>
<WORD coords="658,2060,854,2010,2056">tomar</WORD>
<WORD coords="902,2060,956,2006,2060">el</WORD>
<WORD coords="1004,2084,1466,2010,2066">multiplicando</WORD>
<WORD coords="1494,2094,1514,2062,2086">,</WORD>
<WORD coords="1542,2078,1606,2040,2078">se</WORD>
<WORD coords="1654,2084,1834,2024,2080">llama</WORD>
<WORD coords="1888,2108,2348,2032,2090">multiplicador,</WORD>
<WORD coords="2382,2102,2468,2046,2100">tal</WORD>
</LINE>
<LINE>
<WORD coords="146,2146,212,2110,2146">es</WORD>
<WORD coords="266,2148,320,2094,2148">el</WORD>
<WORD coords="382,2170,562,2098,2152">Sjlo</WORD>
<WORD coords="616,2176,734,2120,2160">que</WORD>
<WORD coords="810,2168,1040,2112,2164">resulta</WORD>
<WORD coords="1106,2172,1184,2112,2171">de</WORD>
<WORD coords="1232,2174,1290,2116,2173">la</WORD>
<WORD coords="1364,2192,1690,2126,2179">operación</WORD>
<WORD coords="1744,2186,1808,2150,2186">se</WORD>
<WORD coords="1854,2194,2032,2134,2191">llama</WORD>
<WORD coords="2080,2216,2372,2142,2199">producto</WORD>
<WORD coords="2422,2210,2464,2154,2210">6</WORD>
</LINE>
<LINE>
<WORD coords="122,2274,348,2192,2255">Jacto,</WORD>
<WORD coords="400,2256,486,2216,2254">as,</WORD>
<WORD coords="536,2258,602,2220,2258">es</WORD>
<WORD coords="646,2266,826,2204,2261">ell2.&apos;</WORD>
<WORD coords="906,2268,980,2212,2268">El</WORD>
<WORD coords="1040,2294,1506,2218,2277">multiplicando</WORD>
<WORD coords="1562,2306,1606,2248,2306">y</WORD>
<WORD coords="1660,2314,2116,2236,2295">multiplicador</WORD>
<WORD coords="2148,2322,2364,2246,2309">juntos</WORD>
<WORD coords="2396,2318,2462,2276,2317">se</WORD>
</LINE>
<LINE>
<WORD coords="142,2358,362,2298,2355">Maman</WORD>
<WORD coords="396,2380,796,2306,2364">producentes</WORD>
<WORD coords="848,2372,886,2316,2372">6</WORD>
<WORD coords="922,2398,1222,2316,2380">factores,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="220,2462,320,2408,2470">41.</WORD>
<WORD coords="414,2474,608,2408,2467">Coral.</WORD>
<WORD coords="652,2476,728,2418,2482">£1</WORD>
<WORD coords="780,2494,1080,2426,2480">producto</WORD>
<WORD coords="1130,2492,1294,2432,2490">debe</WORD>
<WORD coords="1332,2498,1428,2458,2495">ser</WORD>
<WORD coords="1468,2528,1852,2440,2504">homogéneo</WORD>
<WORD coords="1892,2516,2004,2476,2514">con</WORD>
<WORD coords="2054,2520,2108,2464,2519">el</WORD>
<WORD coords="2164,2530,2460,2468,2525">multioli.</WORD>
</LINE>
<LINE>
<WORD coords="138,2580,378,2508,2563">eando;</WORD>
<WORD coords="434,2594,664,2532,2573">porque</WORD>
<WORD coords="718,2580,774,2524,2579">el</WORD>
<WORD coords="822,2602,1120,2532,2588">producto</WORD>
<WORD coords="1192,2618,1550,2554,2601">representa</WORD>
<WORD coords="1614,2612,1664,2554,2611">la</WORD>
<WORD coords="1724,2620,1896,2580,2616">SUir¡a</WORD>
<WORD coords="1948,2642,1988,2586,2628">y</WORD>
<WORD coords="2044,2624,2098,2572,2624">el</WORD>
<WORD coords="2160,2648,2456,2574,2631">mukipli.</WORD>
</LINE>
<LINE>
<WORD coords="136,2674,330,2618,2672">cando</WORD>
<WORD coords="384,2696,626,2640,2679">espresa</WORD>
<WORD coords="672,2690,762,2628,2687">ios</WORD>
<WORD coords="800,2696,1134,2642,2693">sumandos</WORD>
<WORD coords="1166,2716,1188,2664,2716">;</WORD>
<WORD coords="1216,2718,1356,2662,2702">pero</WORD>
<WORD coords="1410,2712,1500,2654,2708">los</WORD>
<WORD coords="1546,2724,1878,2668,2716">sumandos</WORD>
<WORD coords="1924,2746,1958,2690,2738">y</WORD>
<WORD coords="2012,2730,2066,2674,2729">la</WORD>
<WORD coords="2118,2736,2290,2698,2734">suma</WORD>
<WORD coords="2344,2738,2454,2680,2737">de.</WORD>
</LINE>
<LINE>
<WORD coords="130,2778,244,2722,2778">ben</WORD>
<WORD coords="296,2782,392,2744,2782">,er</WORD>
<WORD coords="440,2786,516,2728,2785">de</WORD>
<WORD coords="564,2790,680,2752,2788">una</WORD>
<WORD coords="738,2798,956,2736,2794">misma</WORD>
<WORD coords="1010,2820,1252,2752,2803">especie</WORD>
<WORD coords="1298,2836,1432,2756,2825">[36]</WORD>
<WORD coords="1462,2830,1480,2782,2830">;</WORD>
<WORD coords="1520,2838,1708,2764,2820">!u^&gt;</WORD>
<WORD coords="1960,2834,2028,2780,2834">Rl</WORD>
<WORD coords="2082,2842,2448,2786,2838">multiplica-</WORD>
</LINE>
<LINE>
<WORD coords="126,2888,246,2828,2884">dor</WORD>
<WORD coords="290,2888,442,2830,2886">debe</WORD>
<WORD coords="498,2892,596,2854,2890">ser</WORD>
<WORD coords="646,2896,724,2858,2896">un</WORD>
<WORD coords="772,2904,1030,2862,2901">numero</WORD>
<WORD coords="1068,2916,1332,2852,2911">abstract</WORD>
<WORD coords="1356,2918,1392,2884,2916">,.</WORD>
<WORD coords="1486,2930,1744,2872,2926">Cmnd»</WORD>
<WORD coords="1798,2936,1862,2900,2935">se</WORD>
<WORD coords="1924,2938,2104,2904,2937">ce-</WORD>
</LINE>
<LINE>
<WORD coords="112,2990,314,2944,2987">meros</WORD>
<WORD coords="372,3002,716,2938,2996">abstractos</WORD>
<WORD coords="748,3018,766,2990,3018">,</WORD>
<WORD coords="820,3010,976,2950,3007">nada</WORD>
<WORD coords="1028,3034,1292,2954,3016">importa</WORD>
<WORD coords="1334,3054,1666,2962,3027">distinguir</WORD>
<WORD coords="1710,3036,1764,2982,3036">al</WORD>
<WORD coords="1822,3046,2120,2986,3044">mukibbc</WORD>
</LINE>
<LINE>
<WORD coords="124,3113,610,3038,3095">multiplicador.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="196,3202,296,3150,3209">42.</WORD>
<WORD coords="384,3212,686,3146,3207">Teorema</WORD>
<WORD coords="724,3216,744,3180,3226">,</WORD>
<WORD coords="786,3218,870,3162,3218">El</WORD>
<WORD coords="878,3240,1172,3170,3225">producto</WORD>
<WORD coords="1198,3234,1274,3192,3232">no</WORD>
<WORD coords="1310,3234,1376,3198,3234">se</WORD>
<WORD coords="1432,3242,1604,3186,3240">muda</WORD>
<WORD coords="1634,3266,1714,3208,3246">ya</WORD>
<WORD coords="1768,3250,1830,3212,3249">se</WORD>
<WORD coords="1874,3254,2004,3208,3254">t.m-</WORD>
<WORD coords="2054,3260,2108,3206,3256">,1</WORD>
<WORD coords="2154,3278,2438,3158,3266">íuhifk</WORD>
</LINE>
<LINE>
<WORD coords="102,3306,292,3248,3302">sondo</WORD>
<WORD coords="344,3328,464,3262,3309">por</WORD>
<WORD coords="508,3348,1060,3260,3319">multiplicador^</WORD>
<WORD coords="1106,3362,1654,3276,3341">el^ulupUcador</WORD>
<WORD coords="1698,3372,1814,3310,3350">por</WORD>
<WORD coords="1872,3364,2012,3302,3362">muH</WORD>
<WORD coords="2046,3384,2158,3312,3366">pHc</WORD>
<WORD coords="2164,3376,2198,3262,3376">\</WORD>
<WORD coords="2204,3370,2288,3314,3369">nd</WORD>
<WORD coords="2292,3350,2302,3338,3352">,</WORD>
<WORD coords="2342,3354,2362,3342,3354">.</WORD>
<WORD coords="2398,3374,2438,3318,3374">&amp;</WORD>
</LINE>
<LINE>
<WORD coords="100,3406,160,3350,3405">lo</WORD>
<WORD coords="210,3428,324,3372,3411">que</WORD>
<WORD coords="380,3416,444,3378,3416">es</WORD>
<WORD coords="498,3420,558,3362,3419">lo</WORD>
<WORD coords="612,3430,836,3366,3426">mismo</WORD>
<WORD coords="860,3432,878,3394,3441">:</WORD>
<WORD coords="910,3432,970,3378,3431">el</WORD>
<WORD coords="1016,3442,1200,3382,3438">orden</WORD>
<WORD coords="1244,3444,1314,3388,3444">de</WORD>
<WORD coords="1366,3450,1452,3392,3448">ios</WORD>
<WORD coords="1482,3476,1686,3396,3459">Jacto,</WORD>
<WORD coords="1706,3476,1776,3350,3472">j</WORD>
<WORD coords="1820,3468,1892,3428,3466">no</WORD>
<WORD coords="1950,3470,1984,3432,3470">a</WORD>
<WORD coords="2038,3470,2066,3368,3470">&apos;c</WORD>
<WORD coords="2108,3472,2140,3438,3472">u</WORD>
</LINE>
<LINE>
<WORD coords="96,3515,291,3466,3510">mudo.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2172,2943,2280,2910,2941">fot»</WORD>
<WORD coords="2335,2944,2452,2913,2943">r-n.</WORD>
</LINE>
<LINE>
<WORD coords="2168,3051,2285,3005,3049">ndu</WORD>
<WORD coords="2342,3060,2444,2998,3060">áéi</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2108,3472,2141,3437,3472">a</WORD>
<WORD coords="2200,3473,2247,3435,3473">ti</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="258,3640,740,3564,3629">Demostración,</WORD>
<WORD coords="776,3642,842,3584,3642">Si</WORD>
<WORD coords="898,3664,1242,3608,3652">queremos&quot;</WORD>
<WORD coords="1262,3682,1636,3606,3663">multiplicar</WORD>
<WORD coords="1668,3674,1724,3618,3674">el</WORD>
<WORD coords="1778,3680,1820,3626,3680">4</WORD>
<WORD coords="1874,3698,1906,3644,3698">P</WORD>
<WORD coords="1916,3682,1980,3646,3681">or</WORD>
<WORD coords="2024,3682,2056,3634,3682">3</WORD>
<WORD coords="2092,3708,2114,3674,3706">,</WORD>
<WORD coords="2156,3680,2226,3582,3680">L</WORD>
<WORD coords="2232,3704,2308,3656,3704">m</WORD>
</LINE>
<LINE>
<WORD coords="92,3720,228,3676,3719">«os</WORD>
<WORD coords="282,3724,312,3688,3724">e</WORD>
<WORD coords="324,3726,336,3670,3744">,</WORD>
<WORD coords="392,3730,434,3678,3746">4</WORD>
<WORD coords="478,3738,600,3690,3734">tres</WORD>
<WORD coords="652,3764,882,3704,3744">veces;</WORD>
<WORD coords="930,3756,966,3714,3756">o</WORD>
<WORD coords="1016,3784,1580,3698,3763">descomponiendo</WORD>
<WORD coords="1628,3780,1778,3724,3778">cada</WORD>
<WORD coords="1830,3784,1868,3738,3784">4</WORD>
<WORD coords="1918,3790,1990,3692,3789">¡»</WORD>
<WORD coords="2050,3796,2148,3758,3795">8US</WORD>
<WORD coords="2208,3802,2384,3740,3799">ütísk</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="88,3928,196,3880,3928">»o</WORD>
<WORD coords="304,3940,380,3878,3939">de</WORD>
<WORD coords="388,3928,408,3882,3928">,</WORD>
<WORD coords="396,3834,466,3798,3833">SU</WORD>
<WORD coords="462,3940,756,3800,3940">Zr°-</WORD>
<WORD coords="814,3866,830,3838,3898">&apos;</WORD>
<WORD coords="862,3870,1012,3816,3859">PUCS</WORD>
<WORD coords="1062,3862,1116,3804,3861">61</WORD>
<WORD coords="1174,3878,1486,3814,3871">ttSUltad0</WORD>
<WORD coords="1522,3904,1676,3830,3906">^&apos;</WORD>
<WORD coords="1726,3916,1926,3800,3916">*&gt;J</WORD>
<WORD coords="1978,3904,2114,3862,3903">-ra</WORD>
<WORD coords="2174,3908,2230,3850,3907">el</WORD>
<WORD coords="2276,3910,2422,3846,3907">mi,-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2238,3695,2432,3657,3691">rrtare-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0025.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0026.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0026.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1798,466,1947,375,463">16</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2250,545,2291,495,545">4</WORD>
<WORD coords="2337,550,2442,512,547">=</WORD>
<WORD coords="2490,545,2686,480,540">1+1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2251,630,2291,581,630">4</WORD>
<WORD coords="2336,631,2442,596,630">=</WORD>
<WORD coords="2491,620,2513,573,625">1</WORD>
<WORD coords="2565,632,2608,572,631">+</WORD>
<WORD coords="2659,616,2682,571,616">1</WORD>
</LINE>
<LINE>
<WORD coords="2254,713,2511,657,708">4=1</WORD>
<WORD coords="2567,712,2609,652,710">+</WORD>
<WORD coords="2662,696,2681,649,696">1</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2740,538,2779,476,538">+</WORD>
<WORD coords="2828,535,2854,482,536">1</WORD>
<WORD coords="2904,545,2949,482,541">+</WORD>
<WORD coords="2995,535,3027,481,535">1</WORD>
</LINE>
<LINE>
<WORD coords="2735,616,2780,557,616">+</WORD>
<WORD coords="2831,615,2852,568,615">1</WORD>
<WORD coords="2904,626,2948,566,621">+</WORD>
<WORD coords="2996,616,3040,564,616">*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2736,691,2775,639,694">+</WORD>
<WORD coords="2825,695,2848,648,696">1</WORD>
<WORD coords="2903,706,2947,643,702">+</WORD>
<WORD coords="2996,694,3025,645,694">1</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2216,870,2285,822,869">12</WORD>
<WORD coords="2331,876,2436,838,869">=</WORD>
<WORD coords="2483,863,2514,817,863">3</WORD>
<WORD coords="2574,871,2692,808,866">+3</WORD>
<WORD coords="2738,871,2784,803,865">+</WORD>
<WORD coords="2829,855,2863,807,857">3</WORD>
<WORD coords="2910,868,2953,803,868">+</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="881,586,1106,524,582">Doade</WORD>
<WORD coords="1164,577,1559,518,569">observamos</WORD>
<WORD coords="1592,576,1607,550,576">,</WORD>
<WORD coords="1668,577,1786,523,559">que</WORD>
<WORD coords="1834,556,1882,510,555">isa</WORD>
<WORD coords="1953,557,2127,514,554">suma</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="719,675,794,619,672">de</WORD>
<WORD coords="824,671,916,615,666">ios</WORD>
<WORD coords="961,664,1086,621,662">tres</WORD>
<WORD coords="1146,657,1387,610,653">cuatros</WORD>
<WORD coords="1427,648,1489,613,647">es</WORD>
<WORD coords="1548,663,1712,586,641">igual</WORD>
<WORD coords="1766,638,1793,592,643">á</WORD>
<WORD coords="1849,637,1903,583,636">la</WORD>
<WORD coords="1952,635,2125,598,633">suma</WORD>
</LINE>
<LINE>
<WORD coords="721,754,777,701,754">d&lt;</WORD>
<WORD coords="881,738,886,734,738">-</WORD>
<WORD coords="920,747,943,710,747">s</WORD>
<WORD coords="1006,743,1212,699,738">cuatro</WORD>
<WORD coords="1254,734,1450,683,730">treces</WORD>
<WORD coords="1494,710,1505,690,719">&lt;</WORD>
<WORD coords="1571,742,1746,672,724">ftegd</WORD>
<WORD coords="1796,718,1856,665,717">lo</WORD>
<WORD coords="1899,716,2125,677,714">mismo</WORD>
</LINE>
<LINE>
<WORD coords="721,835,786,801,833">es</WORD>
<WORD coords="828,830,1023,790,826">tomar</WORD>
<WORD coords="1089,822,1129,774,818">4</WORD>
<WORD coords="1176,814,1351,778,813">veces</WORD>
<WORD coords="1415,808,1445,761,816">3</WORD>
<WORD coords="1469,824,1485,799,823">,</WORD>
<WORD coords="1543,823,1658,770,804">que</WORD>
<WORD coords="1739,799,1771,752,804">3</WORD>
<WORD coords="1832,797,2009,759,794">veces</WORD>
<WORD coords="2058,810,2121,746,801">4;</WORD>
</LINE>
<LINE>
<WORD coords="721,930,757,881,921">y</WORD>
<WORD coords="821,913,999,872,907">como</WORD>
<WORD coords="1062,901,1163,847,899">del</WORD>
<WORD coords="1202,897,1422,840,893">mismo</WORD>
<WORD coords="1464,888,1647,828,884">modo</WORD>
<WORD coords="1690,882,2113,828,876">demostraría-</WORD>
</LINE>
<LINE>
<WORD coords="722,997,854,959,993">mos</WORD>
<WORD coords="888,988,962,936,988">de</WORD>
<WORD coords="1007,989,1359,922,977">cualquiera</WORD>
<WORD coords="1413,971,1546,928,969">otro</WORD>
<WORD coords="1600,967,1857,923,963">numero</WORD>
<WORD coords="1892,975,1909,946,972">,</WORD>
<WORD coords="1939,956,2124,902,955">resul-</WORD>
</LINE>
<LINE>
<WORD coords="721,1054,745,1032,1054">♦</WORD>
<WORD coords="765,1066,776,1043,1066">,</WORD>
<WORD coords="840,1054,851,1020,1054">i</WORD>
<WORD coords="864,1066,894,1036,1066">a</WORD>
<WORD coords="946,1066,1091,1011,1064">verd</WORD>
<WORD coords="1137,1063,1174,1008,1063">d</WORD>
<WORD coords="1233,1058,1329,1003,1056">dei</WORD>
<WORD coords="1387,1053,1685,1010,1050">teorema.</WORD>
<WORD coords="3024,1066,3044,1019,1066">i</WORD>
</LINE>
<LINE>
<WORD coords="806,1154,882,1104,1152">43</WORD>
<WORD coords="1000,1152,1196,1082,1152">¿W.</WORD>
<WORD coords="1292,1138,1514,1082,1134">Puesto</WORD>
<WORD coords="1560,1148,1676,1092,1129">que</WORD>
<WORD coords="1732,1128,1786,1070,1126">el</WORD>
<WORD coords="1832,1122,2022,1064,1120">orden</WORD>
<WORD coords="2082,1118,2156,1062,1117">de</WORD>
<WORD coords="2188,1114,2278,1058,1114">los</WORD>
<WORD coords="2308,1116,2570,1054,1110">factores</WORD>
<WORD coords="2626,1104,2706,1066,1102">«o</WORD>
<WORD coords="2750,1100,2938,1042,1097">altera</WORD>
<WORD coords="2988,1096,3048,1028,1095">el</WORD>
</LINE>
<LINE>
<WORD coords="728,1254,1078,1172,1234">producto,</WORD>
<WORD coords="1128,1226,1194,1188,1225">se</WORD>
<WORD coords="1256,1240,1470,1164,1216">sigue,</WORD>
<WORD coords="1524,1230,1642,1174,1211">que</WORD>
<WORD coords="1700,1210,1772,1170,1208">en</WORD>
<WORD coords="1812,1206,1930,1166,1204">una</WORD>
<WORD coords="1988,1216,2312,1142,1196">operación</WORD>
<WORD coords="2372,1194,2658,1132,1189">indicad.</WORD>
<WORD coords="2712,1204,2788,1146,1204">P«</WORD>
<WORD coords="2796,1178,2832,1124,1178">d</WORD>
<WORD coords="2842,1178,3048,1132,1176">™»°*</WORD>
</LINE>
<LINE>
<WORD coords="730,1318,968,1260,1314">colocar</WORD>
<WORD coords="1008,1312,1096,1258,1310">los</WORD>
<WORD coords="1148,1306,1414,1234,1301">tactores</WORD>
<WORD coords="1498,1294,1570,1256,1293">en</WORD>
<WORD coords="1618,1290,1670,1236,1290">el</WORD>
<WORD coords="1718,1306,1890,1234,1286">lugar</WORD>
<WORD coords="1944,1300,2062,1246,1283">que</WORD>
<WORD coords="2118,1298,2440,1238,1273">queramos</WORD>
<WORD coords="2466,1286,2490,1238,1286">;</WORD>
<WORD coords="2534,1266,2566,1234,1266">v</WORD>
<WORD coords="2620,1286,2664,1232,1286">g</WORD>
<WORD coords="2736,1266,2798,1210,1263">Si</WORD>
<WORD coords="2856,1258,2920,1222,1258">se</WORD>
<WORD coords="2948,1258,3048,1218,1257">me</WORD>
</LINE>
<LINE>
<WORD coords="730,1318,758,1282,1318">C</WORD>
<WORD coords="736,1422,876,1342,1396">pide</WORD>
<WORD coords="932,1410,1050,1356,1395">que</WORD>
<WORD coords="1110,1400,1582,1324,1382">multipliqué</WORD>
<WORD coords="1638,1390,1746,1332,1370">por</WORD>
<WORD coords="1800,1366,1834,1318,1366">3</WORD>
<WORD coords="1942,1382,1980,1328,1372">y</WORD>
<WORD coords="2040,1382,2156,1324,1361">que</WORD>
<WORD coords="2206,1436,2338,1314,1357">eje</WORD>
<WORD coords="2380,1368,2464,1316,1350">pr.</WORD>
<WORD coords="2492,1350,2676,1294,1347">dacto</WORD>
<WORD coords="2756,1342,2788,1308,1342">o</WORD>
<WORD coords="2840,1338,3046,1284,1336">mulu-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="732,1574,902,1440,1566">r£</WORD>
<WORD coords="910,1478,940,1442,1478">e</WORD>
<WORD coords="934,1558,956,1510,1558">2</WORD>
<WORD coords="984,1572,1184,1424,1552">yV,</WORD>
<WORD coords="1228,1550,1268,1496,1547">*</WORD>
<WORD coords="1288,1544,1588,1406,1540">ÍSE</WORD>
<WORD coords="1640,1536,1728,1414,1535">a7i</WORD>
<WORD coords="1778,1528,1812,1482,1529">3</WORD>
<WORD coords="1844,1550,1914,1402,1547">¿</WORD>
<WORD coords="1942,1544,2274,1392,1535">alAi</WORD>
<WORD coords="2252,1438,2286,1390,1438">5</WORD>
<WORD coords="2304,1518,2526,1396,1513">30.°Se</WORD>
<WORD coords="2580,1512,2854,1450,1504">-dviertc</WORD>
<WORD coords="2932,1516,3052,1458,1498">que</WORD>
</LINE>
<LINE>
<WORD coords="736,1642,974,1546,1640">ctrV/n</WORD>
<WORD coords="1034,1638,1152,1600,1636">uno</WORD>
<WORD coords="1198,1632,1238,1574,1629">ó</WORD>
<WORD coords="1284,1626,1492,1566,1622">ambos</WORD>
<WORD coords="1524,1620,1786,1562,1615">factores</WORD>
<WORD coords="1838,1608,1946,1570,1607">son</WORD>
<WORD coords="1986,1606,2272,1546,1603">¿ronero»</WORD>
<WORD coords="2320,1596,2642,1534,1592">enlazado,</WORD>
<WORD coords="2690,1586,2800,1546,1583">con</WORD>
<WORD coords="2844,1580,2900,1522,1579">el</WORD>
<WORD coords="2930,1596,3056,1538,1576">sig-</WORD>
</LINE>
<LINE>
<WORD coords="736,1706,810,1610,1706">?</WORD>
<WORD coords="872,1718,964,1598,1718">2</WORD>
<WORD coords="1010,1718,1046,1666,1712">ó</WORD>
<WORD coords="1094,1706,1172,1692,1706">-</WORD>
<WORD coords="1260,1710,1326,1672,1709">se</WORD>
<WORD coords="1382,1704,1576,1646,1702">deben</WORD>
<WORD coords="1634,1696,1914,1652,1691">encerrar</WORD>
<WORD coords="1974,1686,2192,1630,1684">dentro</WORD>
<WORD coords="2242,1682,2316,1626,1681">de</WORD>
<WORD coords="2374,1676,2456,1636,1675">un</WORD>
<WORD coords="2514,1688,2846,1622,1666">párente.»</WORD>
<WORD coords="2876,1680,2916,1622,1681">y</WORD>
<WORD coords="2950,1672,3058,1620,1654">po-</WORD>
</LINE>
<LINE>
<WORD coords="1070,1818,1246,1742,1796">signo</WORD>
<WORD coords="1314,1788,1390,1732,1787">&lt;ie</WORD>
<WORD coords="1480,1788,1954,1718,1775">multiplicación</WORD>
<WORD coords="2032,1776,2152,1730,1765">en,</WORD>
<WORD coords="2168,1764,2420,1704,1760">medio,</WORD>
<WORD coords="2478,1754,2552,1698,1753">de</WORD>
<WORD coords="2606,1748,2738,1706,1746">este</WORD>
<WORD coords="2814,1752,3062,1684,1736">««te.</WORD>
</LINE>
<LINE>
<WORD coords="1128,1884,1406,1772,1871">Ll).</WORD>
<WORD coords="1434,1882,1550,1828,1864">que</WORD>
<WORD coords="1596,1882,1956,1794,1854">ejecutando</WORD>
<WORD coords="1986,1850,2052,1812,1848">es</WORD>
<WORD coords="2078,1846,2138,1794,1846">lo</WORD>
<WORD coords="2168,1846,2390,1804,1841">mismo</WORD>
<WORD coords="2434,1854,2548,1798,1835">que</WORD>
<WORD coords="2582,1846,2702,1776,1840">5&gt;&lt;</WORD>
<WORD coords="2756,1824,2796,1772,1834">4</WORD>
<WORD coords="2824,1832,2930,1790,1838">=</WORD>
<WORD coords="2956,1820,3062,1772,1818">20.</WORD>
</LINE>
<LINE>
<WORD coords="742,1916,772,1850,1916">1</WORD>
<WORD coords="818,1968,906,1842,1957">¿</WORD>
<WORD coords="1018,1960,1176,1842,1960">*ob</WORD>
<WORD coords="1206,1960,1336,1918,1957">ema</WORD>
<WORD coords="1374,1954,1388,1916,1954">;</WORD>
<WORD coords="1442,1966,1820,1884,1944">Multiplicar</WORD>
<WORD coords="1850,1932,1930,1894,1932">«n</WORD>
<WORD coords="1974,1950,2164,1874,1935">úfiffiío</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="908,2052,1058,1912,2050">ic/</WORD>
<WORD coords="1074,2044,1296,1912,2040">¿r</WORD>
<WORD coords="1372,2036,1640,1974,2031">Tómese</WORD>
<WORD coords="1674,2030,1748,1966,2026">de</WORD>
<WORD coords="1782,2022,2076,1956,2017">memoria</WORD>
<WORD coords="2122,2010,2178,1956,2010">la</WORD>
<WORD coords="2206,2012,2364,1952,2007">tabla</WORD>
<WORD coords="2392,2018,2410,1988,2018">,</WORD>
<WORD coords="2448,2018,2564,1960,1998">que</WORD>
<WORD coords="2616,1992,2864,1942,1988">«vento</WORD>
<WORD coords="2896,1982,3062,1924,1980">Pit*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="758,2162,992,2098,2136">govas,</WORD>
<WORD coords="1036,2148,1362,2066,2123">siguiente.</WORD>
<WORD coords="1408,2202,1728,2132,2194">TAfiLA</WORD>
<WORD coords="1802,2188,2400,2120,2182">piTAG0RICA&gt;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1016,2318,1082,2250,2318">A</WORD>
<WORD coords="2584,2268,2704,2192,2262">,B</WORD>
<WORD coords="2712,2248,2726,2234,2248">-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1186,2634,1424,2520,2628">1\1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1229,2716,1264,2670,2716">2</WORD>
<WORD coords="1302,2716,1315,2639,2716">I</WORD>
<WORD coords="1393,2715,1432,2669,2715">4</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1370,3205,1444,3154,3202">10</WORD>
<WORD coords="1537,3192,1603,3144,3191">15</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1247,3368,1283,3319,3367">6</WORD>
<WORD coords="1375,3367,1445,3318,3365">12</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1255,3530,1286,3480,3530">7</WORD>
<WORD coords="1324,3638,1339,3509,3583">|</WORD>
<WORD coords="1379,3526,1452,3478,3525">14</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1260,3691,1294,3644,3691">8</WORD>
<WORD coords="1333,3700,1342,3669,3695">,</WORD>
<WORD coords="1384,3691,1457,3638,3689">16</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1267,3851,1299,3804,3851">9</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1720,2535,1759,2486,2535">4</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1883,2530,1915,2481,2530">5</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2047,2522,2080,2472,2522">6</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2176,2616,2300,2460,2602">-1</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2376,2511,2407,2463,2511">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1728,2698,1759,2651,2698">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1851,2695,1923,2646,2694">10</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2016,2687,2082,2640,2686">12</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2180,2678,2250,2630,2677">14</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2343,2673,2413,2624,2672">16</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1696,2860,1763,2813,2859">12</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1856,2857,1924,2810,2856">15</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1976,2879,1979,2842,2876">í</WORD>
<WORD coords="2018,2849,2088,2800,2848">18</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2176,2843,2243,2797,2842">21</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2342,2835,2417,2786,2834">24</WORD>
</LINE>
</PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
<REGION>
<PARAGRAPH></PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1704,3036,1765,2981,3032">íp</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1698,3185,1772,3138,3184">20</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1543,3357,1608,3311,3356">18</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1538,3518,1603,3472,3517">21</WORD>
<WORD coords="1652,3518,1670,3460,3518">I</WORD>
<WORD coords="1703,3515,1774,3468,3513">28</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1332,3868,1680,3704,3854">\7AjA</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1544,3683,1621,3639,3679">24</WORD>
<WORD coords="1657,3650,1672,3607,3662">*</WORD>
<WORD coords="1710,3675,1783,3628,3674">32</WORD>
<WORD coords="1821,3693,1950,3623,3677">,40</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1857,3020,1933,2974,3017">20</WORD>
<WORD coords="2018,3009,2096,2961,3010">24</WORD>
<WORD coords="2135,3028,2145,2984,3019">|</WORD>
<WORD coords="2180,3007,2254,2959,3006">28</WORD>
</LINE>
<LINE>
<WORD coords="1859,3185,1928,3141,3184">25</WORD>
</LINE>
<LINE>
<WORD coords="1870,3344,1939,3298,3343">30</WORD>
</LINE>
<LINE>
<WORD coords="1871,3507,1936,3461,3505">35</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2027,3173,2101,3126,3172">30</WORD>
<WORD coords="2138,3282,2151,3148,3226">j</WORD>
<WORD coords="2190,3167,2258,3118,3166">35</WORD>
</LINE>
<LINE>
<WORD coords="2029,3336,2102,3285,3336">36</WORD>
<WORD coords="2140,3343,2149,3299,3338">{</WORD>
<WORD coords="2190,3331,2266,3283,3329">42</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2027,3499,2104,3451,3497">42</WORD>
</LINE>
<LINE>
<WORD coords="2033,3661,2108,3614,3660">48</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1718,3839,1793,3784,3836">36</WORD>
<WORD coords="1828,3835,1842,3764,3835">I</WORD>
<WORD coords="1876,3833,1951,3782,3832">45</WORD>
<WORD coords="1990,3846,2010,3770,3838">\</WORD>
<WORD coords="2042,3822,2119,3773,3821">54</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2189,3492,2265,3440,3490">49</WORD>
</LINE>
<LINE>
<WORD coords="2195,3654,2268,3611,3651">5o</WORD>
</LINE>
<LINE>
<WORD coords="2201,3813,2273,3765,3812">63</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2512,2992,2583,2941,2991">36</WORD>
</LINE>
<LINE>
<WORD coords="2508,3157,2582,3108,3156">45</WORD>
</LINE>
<LINE>
<WORD coords="2515,3318,2593,3268,3317">54</WORD>
</LINE>
<LINE>
<WORD coords="2517,3478,2592,3427,3476">63</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2358,3644,2436,3594,3643">64</WORD>
<WORD coords="2522,3642,2595,3589,3640">72</WORD>
</LINE>
<LINE>
<WORD coords="2364,3812,2437,3760,3809">72</WORD>
<WORD coords="2474,3810,2485,3672,3810">I</WORD>
<WORD coords="2522,3801,2592,3751,3800">81</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0026.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0027.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0027.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1274,568,1422,472,567">17</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="346,647,502,585,646">Para</WORD>
<WORD coords="553,652,785,592,648">firmar</WORD>
<WORD coords="834,654,960,607,653">esta</WORD>
<WORD coords="1013,655,1169,598,654">tabla</WORD>
<WORD coords="1203,661,1219,639,661">,</WORD>
<WORD coords="1251,657,1313,622,656">se</WORD>
<WORD coords="1372,663,1644,604,660">escriben</WORD>
<WORD coords="1694,664,1785,607,663">los</WORD>
<WORD coords="1838,666,1877,613,666">9</WORD>
<WORD coords="1921,689,2261,611,669">guarismos</WORD>
<WORD coords="2311,694,2500,615,673">sígni.</WORD>
</LINE>
<LINE>
<WORD coords="182,750,223,691,750">fi</WORD>
<WORD coords="264,752,459,694,749">ativos</WORD>
<WORD coords="520,755,708,698,753">desde</WORD>
<WORD coords="793,758,851,703,758">A</WORD>
<WORD coords="908,759,1084,702,758">hasta</WORD>
<WORD coords="1139,761,1188,705,761">C</WORD>
<WORD coords="1224,761,1241,725,762">:</WORD>
<WORD coords="1298,781,1563,707,763">después</WORD>
<WORD coords="1619,769,1684,730,767">se</WORD>
<WORD coords="1738,771,1910,733,769">suma</WORD>
<WORD coords="1970,774,2120,719,773">cada</WORD>
<WORD coords="2183,795,2499,721,775">guarismo</WORD>
</LINE>
<LINE>
<WORD coords="181,876,435,800,854">consigo</WORD>
<WORD coords="480,859,699,803,857">mismo</WORD>
<WORD coords="734,874,751,847,874">,</WORD>
<WORD coords="780,878,817,826,873">y</WORD>
<WORD coords="872,863,996,818,861">esta</WORD>
<WORD coords="1050,866,1225,828,864">suma</WORD>
<WORD coords="1281,867,1345,830,866">se</WORD>
<WORD coords="1399,869,1609,813,868">coloca</WORD>
<WORD coords="1654,871,1686,818,871">á</WORD>
<WORD coords="1740,877,1998,818,874">derecha</WORD>
<WORD coords="2042,879,2150,821,878">da*</WORD>
<WORD coords="2197,895,2495,822,878">primero;</WORD>
</LINE>
<LINE>
<WORD coords="185,980,368,902,959">luego</WORD>
<WORD coords="416,961,543,916,960">esta</WORD>
<WORD coords="612,965,786,927,963">suma</WORD>
<WORD coords="846,965,907,930,965">se</WORD>
<WORD coords="960,968,1132,931,967">suma</WORD>
<WORD coords="1186,969,1299,932,969">con</WORD>
<WORD coords="1358,971,1417,915,970">el</WORD>
<WORD coords="1473,974,1693,919,972">mismo</WORD>
<WORD coords="1748,996,2063,927,978">guarismo</WORD>
<WORD coords="2099,999,2116,972,999">,</WORD>
<WORD coords="2164,1003,2206,946,995">y</WORD>
<WORD coords="2266,988,2496,940,985">estotra</WORD>
</LINE>
<LINE>
<WORD coords="182,1074,358,1027,1065">ayma</WORD>
<WORD coords="410,1067,473,1032,1066">se</WORD>
<WORD coords="525,1085,678,1031,1066">pone</WORD>
<WORD coords="733,1069,763,1017,1073">á</WORD>
<WORD coords="815,1074,1243,1017,1072">continuación</WORD>
<WORD coords="1298,1075,1372,1021,1075">de</WORD>
<WORD coords="1423,1077,1479,1023,1077">la</WORD>
<WORD coords="1543,1094,1658,1044,1080">que</WORD>
<WORD coords="1717,1082,1779,1047,1081">se</WORD>
<WORD coords="1841,1085,1991,1029,1084">tubo</WORD>
<WORD coords="2044,1087,2210,1041,1085">antes</WORD>
<WORD coords="2245,1103,2263,1075,1103">,</WORD>
<WORD coords="2313,1108,2355,1050,1100">y</WORD>
<WORD coords="2400,1092,2493,1036,1090">asi</WORD>
</LINE>
<LINE>
<WORD coords="171,1169,247,1130,1168">*e</WORD>
<WORD coords="305,1171,591,1115,1168">continúa</WORD>
<WORD coords="649,1175,819,1116,1172">hasta</WORD>
<WORD coords="868,1177,1056,1119,1175">llenar</WORD>
<WORD coords="1110,1178,1196,1122,1177">las</WORD>
<WORD coords="1247,1182,1441,1143,1180">nueve</WORD>
<WORD coords="1481,1185,1723,1129,1183">casillas</WORD>
<WORD coords="1752,1193,1778,1153,1190">y</WORD>
<WORD coords="1809,1188,1869,1152,1188">v.</WORD>
<WORD coords="1903,1209,1943,1154,1200">g</WORD>
<WORD coords="2028,1191,2053,1143,1191">1</WORD>
<WORD coords="2110,1214,2150,1159,1204">y</WORD>
<WORD coords="2203,1195,2231,1146,1195">i</WORD>
<WORD coords="2292,1193,2402,1157,1192">son</WORD>
<WORD coords="2431,1205,2495,1147,1200">2,</WORD>
</LINE>
<LINE>
<WORD coords="180,1294,382,1232,1269">pongo</WORD>
<WORD coords="419,1273,473,1221,1273">el</WORD>
<WORD coords="520,1275,555,1229,1280">2</WORD>
<WORD coords="605,1297,872,1221,1277">después</WORD>
<WORD coords="932,1282,1029,1225,1281">del</WORD>
<WORD coords="1084,1283,1109,1234,1284">1</WORD>
<WORD coords="1150,1297,1169,1250,1291">;</WORD>
<WORD coords="1215,1285,1251,1236,1285">2</WORD>
<WORD coords="1294,1305,1335,1247,1295">y</WORD>
<WORD coords="1396,1286,1421,1237,1286">1</WORD>
<WORD coords="1469,1290,1577,1250,1288">son</WORD>
<WORD coords="1632,1289,1664,1239,1289">3</WORD>
<WORD coords="1708,1310,1825,1254,1293">que</WORD>
<WORD coords="1882,1294,1941,1238,1293">lo</WORD>
<WORD coords="1998,1318,2198,1257,1296">pongo</WORD>
<WORD coords="2255,1298,2287,1260,1298">a</WORD>
<WORD coords="2347,1299,2492,1260,1298">con-</WORD>
</LINE>
<LINE>
<WORD coords="174,1378,484,1318,1376">tinuación</WORD>
<WORD coords="543,1381,641,1326,1380">del</WORD>
<WORD coords="698,1383,734,1336,1383">2</WORD>
<WORD coords="795,1390,907,1329,1383">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="342,1482,496,1426,1480">Para</WORD>
<WORD coords="554,1486,746,1428,1485">hallar</WORD>
<WORD coords="797,1488,850,1434,1487">el</WORD>
<WORD coords="927,1507,1227,1436,1494">producto</WORD>
<WORD coords="1283,1502,1359,1442,1501">de</WORD>
<WORD coords="1414,1504,1527,1447,1503">dos</WORD>
<WORD coords="1574,1507,1858,1467,1505">números</WORD>
<WORD coords="1906,1513,1967,1471,1513">v.</WORD>
<WORD coords="2022,1530,2081,1474,1518">g.</WORD>
<WORD coords="2140,1513,2219,1455,1513">de</WORD>
<WORD coords="2271,1513,2312,1460,1513">4</WORD>
<WORD coords="2364,1530,2474,1472,1512">por</WORD>
</LINE>
<LINE>
<WORD coords="172,1584,227,1527,1583">el</WORD>
<WORD coords="266,1585,299,1537,1592">8</WORD>
<WORD coords="325,1599,339,1571,1603">,</WORD>
<WORD coords="368,1588,617,1531,1586">buscare</WORD>
<WORD coords="673,1590,728,1536,1589">la</WORD>
<WORD coords="787,1596,992,1537,1592">casilla</WORD>
<WORD coords="1053,1602,1254,1544,1599">donde</WORD>
<WORD coords="1300,1608,1592,1567,1605">concurre</WORD>
<WORD coords="1648,1610,1702,1554,1609">la</WORD>
<WORD coords="1747,1612,1846,1555,1611">fila</WORD>
<WORD coords="1903,1614,1980,1557,1613">de</WORD>
<WORD coords="2029,1618,2272,1562,1616">casillas</WORD>
<WORD coords="2328,1617,2480,1562,1616">don-</WORD>
</LINE>
<LINE>
<WORD coords="170,1686,246,1631,1686">de</WORD>
<WORD coords="305,1691,436,1642,1689">está</WORD>
<WORD coords="483,1691,538,1637,1691">el</WORD>
<WORD coords="589,1694,631,1644,1700">4</WORD>
<WORD coords="676,1697,792,1657,1696">con</WORD>
<WORD coords="835,1698,890,1643,1697">la</WORD>
<WORD coords="943,1701,1040,1645,1700">fila</WORD>
<WORD coords="1086,1705,1163,1649,1704">de</WORD>
<WORD coords="1226,1710,1464,1653,1707">casillas</WORD>
<WORD coords="1517,1714,1717,1656,1712">donde</WORD>
<WORD coords="1776,1715,1841,1680,1714">se</WORD>
<WORD coords="1898,1719,2056,1661,1717">halla</WORD>
<WORD coords="2103,1722,2158,1667,1721">el</WORD>
<WORD coords="2218,1728,2292,1665,1727">8,</WORD>
<WORD coords="2326,1741,2365,1686,1733">y</WORD>
<WORD coords="2420,1725,2478,1668,1724">el</WORD>
</LINE>
<LINE>
<WORD coords="164,1814,463,1740,1796">producto</WORD>
<WORD coords="515,1802,646,1765,1801">sera</WORD>
<WORD coords="692,1804,745,1749,1803">la</WORD>
<WORD coords="801,1809,1008,1752,1807">casilla</WORD>
<WORD coords="1067,1812,1141,1756,1811">de</WORD>
<WORD coords="1193,1819,1484,1776,1816">concurso</WORD>
<WORD coords="1514,1835,1530,1808,1835">,</WORD>
<WORD coords="1586,1839,1702,1785,1820">que</WORD>
<WORD coords="1749,1840,1889,1769,1824">aqui</WORD>
<WORD coords="1941,1825,2004,1790,1824">es</WORD>
<WORD coords="2053,1828,2150,1776,1826">32.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="322,1908,425,1852,1909">45.</WORD>
<WORD coords="519,1914,887,1850,1907">Problema:</WORD>
<WORD coords="952,1938,1331,1859,1917">Multiplicar</WORD>
<WORD coords="1383,1923,1464,1884,1922">un</WORD>
<WORD coords="1517,1929,1759,1887,1926">numero</WORD>
<WORD coords="1833,1952,2163,1885,1930">compuesto</WORD>
<WORD coords="2223,1952,2344,1884,1935">por</WORD>
<WORD coords="2400,1938,2484,1895,1936">un</WORD>
</LINE>
<LINE>
<WORD coords="159,2031,357,1951,2010">dígito</WORD>
<WORD coords="394,2025,409,1999,2023">,</WORD>
<WORD coords="460,2012,491,1975,2012">o</WORD>
<WORD coords="544,2013,626,1976,2013">un</WORD>
<WORD coords="668,2039,862,1959,2016">dígito</WORD>
<WORD coords="907,2041,1029,1974,2022">por</WORD>
<WORD coords="1077,2023,1159,1986,2023">un</WORD>
<WORD coords="1218,2049,1569,1985,2029">compuerto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="317,2120,690,2059,2116">Resolución,</WORD>
<WORD coords="791,2123,839,2065,2123">i.</WORD>
<WORD coords="870,2104,903,2071,2104">o</WORD>
<WORD coords="954,2130,1223,2069,2127">Tómese</WORD>
<WORD coords="1284,2148,1392,2095,2132">por</WORD>
<WORD coords="1426,2158,1889,2083,2139">multiplicando</WORD>
<WORD coords="1918,2146,1971,2091,2145">al</WORD>
<WORD coords="2015,2149,2272,2110,2148">numero</WORD>
<WORD coords="2307,2153,2475,2113,2151">com-</WORD>
</LINE>
<LINE>
<WORD coords="155,2237,368,2176,2220">puesto</WORD>
<WORD coords="423,2241,465,2186,2240">y</WORD>
<WORD coords="520,2240,627,2186,2223">por</WORD>
<WORD coords="685,2247,1140,2172,2228">multiplicador</WORD>
<WORD coords="1180,2234,1230,2182,2233">al</WORD>
<WORD coords="1279,2258,1477,2181,2238">dígito</WORD>
<WORD coords="1505,2241,1519,2206,2241">:</WORD>
<WORD coords="1571,2264,1895,2190,2245">coloqúese</WORD>
<WORD coords="1943,2253,2070,2209,2252">este</WORD>
<WORD coords="2126,2276,2347,2197,2253">debajo</WORD>
<WORD coords="2397,2258,2476,2202,2257">de</WORD>
</LINE>
<LINE>
<WORD coords="151,2322,238,2264,2321">las</WORD>
<WORD coords="279,2327,588,2271,2326">unidades</WORD>
<WORD coords="645,2331,745,2273,2330">del</WORD>
<WORD coords="806,2354,1162,2293,2335">compuesto</WORD>
<WORD coords="1188,2359,1227,2304,2352">y</WORD>
<WORD coords="1280,2345,1464,2288,2342">tírese</WORD>
<WORD coords="1527,2349,1644,2311,2348">una</WORD>
<WORD coords="1691,2372,1842,2313,2351">raya</WORD>
<WORD coords="1902,2374,2017,2320,2357">por</WORD>
<WORD coords="2061,2358,2115,2301,2357">la</WORD>
<WORD coords="2168,2378,2337,2316,2360">parte</WORD>
<WORD coords="2383,2365,2475,2308,2364">in-</WORD>
</LINE>
<LINE>
<WORD coords="146,2441,373,2369,2425">ferior;</WORD>
<WORD coords="461,2432,579,2378,2433">2.0</WORD>
<WORD coords="645,2455,1013,2380,2438">fimpiezese</WORD>
<WORD coords="1083,2461,1195,2406,2443">por</WORD>
<WORD coords="1266,2447,1320,2391,2446">la</WORD>
<WORD coords="1373,2452,1634,2394,2450">derecha</WORD>
<WORD coords="1681,2461,1709,2406,2461">á</WORD>
<WORD coords="1788,2481,2158,2406,2462">multiplicar</WORD>
<WORD coords="2224,2470,2276,2415,2469">el</WORD>
<WORD coords="2354,2488,2475,2414,2469">pri.</WORD>
</LINE>
<LINE>
<WORD coords="140,2531,271,2492,2530">mer</WORD>
<WORD coords="335,2551,644,2481,2535">guarismo</WORD>
<WORD coords="702,2542,800,2486,2541">del</WORD>
<WORD coords="869,2563,1333,2491,2545">multiplicando</WORD>
<WORD coords="1394,2572,1502,2517,2554">por</WORD>
<WORD coords="1573,2557,1628,2504,2557">el</WORD>
<WORD coords="1693,2587,2189,2508,2565">multiplicador,</WORD>
<WORD coords="2274,2598,2469,2538,2576">según</WORD>
</LINE>
<LINE>
<WORD coords="138,2636,196,2577,2636">la</WORD>
<WORD coords="257,2639,415,2583,2637">tabla</WORD>
<WORD coords="467,2665,804,2587,2644">pitagórica</WORD>
<WORD coords="838,2662,854,2637,2662">,</WORD>
<WORD coords="911,2665,948,2613,2662">y</WORD>
<WORD coords="1005,2650,1061,2598,2650">el</WORD>
<WORD coords="1111,2669,1413,2599,2654">producto</WORD>
<WORD coords="1473,2666,1781,2607,2662">escríbase</WORD>
<WORD coords="1833,2688,2096,2613,2671">después</WORD>
<WORD coords="2144,2678,2220,2623,2677">de</WORD>
<WORD coords="2268,2680,2319,2626,2679">la</WORD>
<WORD coords="2377,2685,2468,2646,2683">ra-</WORD>
</LINE>
<LINE>
<WORD coords="136,2759,214,2700,2740">ya</WORD>
<WORD coords="259,2766,479,2686,2742">debajo</WORD>
<WORD coords="511,2746,587,2691,2745">de</WORD>
<WORD coords="649,2749,734,2695,2748">las</WORD>
<WORD coords="787,2755,1087,2696,2752">unidades</WORD>
<WORD coords="1122,2758,1199,2701,2757">de</WORD>
<WORD coords="1237,2761,1336,2703,2759">los</WORD>
<WORD coords="1394,2768,1659,2705,2763">factores</WORD>
<WORD coords="1693,2776,1710,2737,2776">;</WORD>
<WORD coords="1737,2787,1878,2734,2772">pero</WORD>
<WORD coords="1935,2777,2011,2720,2776">de</WORD>
<WORD coords="2073,2782,2258,2727,2781">modo</WORD>
<WORD coords="2298,2798,2314,2773,2798">,</WORD>
<WORD coords="2344,2803,2464,2750,2789">que</WORD>
</LINE>
<LINE>
<WORD coords="137,2842,190,2787,2842">si</WORD>
<WORD coords="237,2844,292,2790,2844">el</WORD>
<WORD coords="344,2863,639,2794,2849">producto</WORD>
<WORD coords="684,2852,773,2817,2852">se.</WORD>
<WORD coords="801,2877,1096,2819,2856">compone</WORD>
<WORD coords="1147,2863,1279,2809,2862">solo</WORD>
<WORD coords="1304,2867,1412,2794,2866">&apos;de</WORD>
<WORD coords="1465,2892,1815,2817,2871">unidades,</WORD>
<WORD coords="1854,2883,2015,2837,2881">estas</WORD>
<WORD coords="2080,2886,2143,2850,2885">se</WORD>
<WORD coords="2202,2889,2455,2833,2887">escribi-</WORD>
</LINE>
<LINE>
<WORD coords="136,2945,243,2907,2945">rán</WORD>
<WORD coords="279,2958,295,2916,2964">;</WORD>
<WORD coords="350,2950,401,2897,2949">si</WORD>
<WORD coords="459,2952,523,2918,2951">se</WORD>
<WORD coords="566,2975,861,2918,2956">compone</WORD>
<WORD coords="911,2963,987,2905,2962">de</WORD>
<WORD coords="1046,2968,1251,2910,2966">dieces</WORD>
<WORD coords="1286,2992,1490,2914,2971">justos</WORD>
<WORD coords="1525,2989,1542,2962,2984">,</WORD>
<WORD coords="1588,2979,1653,2942,2978">se</WORD>
<WORD coords="1694,2999,1923,2928,2982">pondrá</WORD>
<WORD coords="1982,2990,2060,2952,2989">un</WORD>
<WORD coords="2103,2996,2242,2955,2993">cero</WORD>
<WORD coords="2297,3015,2331,2961,3008">y</WORD>
<WORD coords="2392,3002,2461,2961,2999">se</WORD>
</LINE>
<LINE>
<WORD coords="135,3055,496,3011,3051">reservaran</WORD>
<WORD coords="553,3059,640,3004,3058">las</WORD>
<WORD coords="694,3067,953,3006,3064">decenas</WORD>
<WORD coords="1007,3086,1150,3032,3070">para</WORD>
<WORD coords="1202,3080,1508,3021,3076">añadirlas</WORD>
<WORD coords="1538,3081,1595,3028,3080">al</WORD>
<WORD coords="1653,3103,1949,3032,3087">producto</WORD>
<WORD coords="1997,3096,2098,3037,3094">del</WORD>
<WORD coords="2143,3118,2461,3045,3100">guarismo</WORD>
</LINE>
<LINE>
<WORD coords="135,3159,497,3101,3154">immediato</WORD>
<WORD coords="544,3164,673,3107,3162">acia</WORD>
<WORD coords="724,3167,777,3112,3166">la</WORD>
<WORD coords="825,3188,1148,3113,3171">izquierda</WORD>
<WORD coords="1178,3178,1191,3143,3180">:</WORD>
<WORD coords="1230,3197,1269,3142,3189">y</WORD>
<WORD coords="1304,3180,1356,3125,3180">si</WORD>
<WORD coords="1417,3189,1691,3132,3185">contiene</WORD>
<WORD coords="1753,3195,2011,3135,3193">decenas</WORD>
<WORD coords="2061,3218,2097,3165,3212">y</WORD>
<WORD coords="2135,3207,2437,3149,3204">unidades</WORD>
</LINE>
<LINE>
<WORD coords="138,3254,208,3217,3253">se</WORD>
<WORD coords="251,3264,580,3206,3259">escribirán</WORD>
<WORD coords="631,3267,716,3211,3266">las</WORD>
<WORD coords="770,3275,1068,3216,3272">unidades</WORD>
<WORD coords="1130,3298,1166,3243,3292">y</WORD>
<WORD coords="1222,3282,1305,3230,3281">las</WORD>
<WORD coords="1365,3290,1622,3232,3288">decenas</WORD>
<WORD coords="1675,3293,1740,3258,3292">se</WORD>
<WORD coords="1793,3316,2139,3246,3298">guardaran</WORD>
<WORD coords="2183,3325,2323,3269,3305">para</WORD>
<WORD coords="2354,3311,2460,3198,3309">su!</WORD>
</LINE>
<LINE>
<WORD coords="132,3361,356,3308,3360">«arlas</WORD>
<WORD coords="404,3364,516,3329,3364">con</WORD>
<WORD coords="573,3369,628,3316,3368">el</WORD>
<WORD coords="683,3390,981,3320,3375">producto</WORD>
<WORD coords="1036,3382,1132,3326,3381">del</WORD>
<WORD coords="1191,3409,1502,3331,3387">guarismo</WORD>
<WORD coords="1561,3417,1859,3340,3395">siguiente</WORD>
<WORD coords="1894,3414,1911,3369,3409">;</WORD>
<WORD coords="1944,3404,1998,3353,3398">3.</WORD>
<WORD coords="2027,3387,2061,3350,3387">o</WORD>
<WORD coords="2121,3416,2455,3352,3411">Continúe-</WORD>
</LINE>
<LINE>
<WORD coords="125,3464,197,3427,3463">*e</WORD>
<WORD coords="257,3487,719,3413,3469">multiplicando</WORD>
<WORD coords="765,3492,1146,3423,3481">del/mismo</WORD>
<WORD coords="1187,3491,1370,3436,3490">modo</WORD>
<WORD coords="1425,3496,1604,3439,3494">todos</WORD>
<WORD coords="1662,3501,1750,3445,3499">los</WORD>
<WORD coords="1793,3524,2140,3450,3506">guarismos</WORD>
<WORD coords="2177,3518,2277,3461,3516">del</WORD>
<WORD coords="2334,3524,2450,3483,3522">nu-</WORD>
</LINE>
<LINE>
<WORD coords="126,3569,299,3529,3567">mero</WORD>
<WORD coords="351,3593,710,3535,3575">compuesto</WORD>
<WORD coords="744,3600,851,3547,3583">por</WORD>
<WORD coords="904,3586,959,3535,3585">el</WORD>
<WORD coords="1007,3612,1202,3535,3591">dígito</WORD>
<WORD coords="1223,3609,1239,3584,3609">,</WORD>
<WORD coords="1268,3616,1309,3560,3611">y</WORD>
<WORD coords="1364,3606,1747,3544,3601">escribiendo</WORD>
<WORD coords="1803,3610,1891,3556,3608">ios</WORD>
<WORD coords="1942,3631,2272,3559,3616">productos</WORD>
<WORD coords="2304,3640,2444,3584,3624">par.</WORD>
</LINE>
<LINE>
<WORD coords="125,3674,310,3619,3671">cíales</WORD>
<WORD coords="310,3669,315,3640,3695">i</WORD>
<WORD coords="364,3699,585,3621,3676">debajo</WORD>
<WORD coords="643,3683,718,3628,3682">de</WORD>
<WORD coords="774,3686,863,3633,3685">los</WORD>
<WORD coords="922,3712,1267,3641,3694">guarismos</WORD>
<WORD coords="1325,3702,1424,3647,3701">del</WORD>
<WORD coords="1470,3725,1854,3667,3708">compuesto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="293,3778,578,3702,3756">Ejemplo.</WORD>
<WORD coords="670,3789,1143,3709,3768">Multipliqúese</WORD>
<WORD coords="1216,3779,1268,3725,3778">el</WORD>
<WORD coords="1318,3786,1574,3743,3782">numero</WORD>
<WORD coords="1626,3789,1684,3738,3789">A</WORD>
<WORD coords="1756,3806,1865,3755,3795">por</WORD>
<WORD coords="2028,3802,2066,3751,3802">2</WORD>
<WORD coords="2109,3804,2147,3753,3804">5</WORD>
<WORD coords="2191,3804,2230,3751,3799">6</WORD>
<WORD coords="2391,3794,2429,3759,3794">a</WORD>
</LINE>
<LINE>
<WORD coords="122,3832,180,3776,3838">«1</WORD>
<WORD coords="244,3833,296,3778,3833">B</WORD>
<WORD coords="317,3875,344,3822,3875">;</WORD>
<WORD coords="401,3855,517,3803,3838">que</WORD>
<WORD coords="566,3847,894,3790,3843">indicando</WORD>
<WORD coords="952,3853,1086,3817,3852">sera</WORD>
<WORD coords="1140,3858,1257,3807,3857">256</WORD>
<WORD coords="1284,3873,1344,3808,3868">*</WORD>
<WORD coords="1391,3863,1450,3814,3863">4.</WORD>
<WORD coords="1756,3812,1792,3766,3812">F</WORD>
<WORD coords="2195,3888,2237,3838,3875">4</WORD>
<WORD coords="2379,3892,2433,3838,3892">B</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="287,3929,633,3861,3921">Colocados</WORD>
<WORD coords="686,3928,778,3872,3927">los</WORD>
<WORD coords="839,3936,1103,3872,3933">factores</WORD>
<WORD coords="1136,3951,1154,3926,3948">,</WORD>
<WORD coords="1206,3945,1382,3903,3942">como</WORD>
<WORD coords="1424,3947,1491,3908,3946">se</WORD>
<WORD coords="1552,3951,1626,3911,3951">ve</WORD>
<WORD coords="1669,3954,1746,3913,3953">en</WORD>
<WORD coords="1796,3957,1855,3897,3956">el</WORD>
<WORD coords="2282,3894,2331,3876,3894">&quot;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1137,4020,1177,3968,4020">6</WORD>
<WORD coords="1963,4044,1993,3992,4052">1</WORD>
<WORD coords="2038,4043,2082,3994,4043">O</WORD>
<WORD coords="2120,4047,2157,4000,4051">2</WORD>
<WORD coords="2200,4050,2242,4000,4053">4</WORD>
<WORD coords="2282,4053,2298,4033,4054">•</WORD>
<WORD coords="2319,4055,2336,4034,4055">•</WORD>
<WORD coords="2381,4057,2436,3996,4057">C</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0027.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0028.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0028.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="779,717,1055,643,702">cuadro,</WORD>
<WORD coords="1104,717,1391,640,697">empiezo</WORD>
<WORD coords="1444,693,1474,657,693">a</WORD>
<WORD coords="1532,704,1903,630,686">multiplicar</WORD>
<WORD coords="1963,700,2071,643,680">por</WORD>
<WORD coords="2124,677,2247,619,677">las/</WORD>
<WORD coords="2286,676,2585,612,670">unidades</WORD>
<WORD coords="2642,667,2741,608,665">del</WORD>
<WORD coords="2799,679,3095,603,661">multvplir</WORD>
</LINE>
<LINE>
<WORD coords="781,808,976,751,806">cando</WORD>
<WORD coords="1029,824,1068,768,823">y</WORD>
<WORD coords="1123,822,1271,746,800">digo</WORD>
<WORD coords="1306,803,1323,767,800">:</WORD>
<WORD coords="1360,798,1400,749,796">4</WORD>
<WORD coords="1469,795,1648,759,793">veces</WORD>
<WORD coords="1694,792,1730,739,790">6</WORD>
<WORD coords="1788,788,1895,753,786">son</WORD>
<WORD coords="1942,786,2021,736,785">24</WORD>
<WORD coords="2048,800,2066,773,800">,</WORD>
<WORD coords="2124,800,2322,743,776">pongo</WORD>
<WORD coords="2379,774,2431,721,773">ei</WORD>
<WORD coords="2476,773,2516,723,778">4</WORD>
<WORD coords="2576,788,2794,713,768">debajo</WORD>
<WORD coords="2848,763,2923,710,763">de</WORD>
<WORD coords="3009,764,3096,709,762">las</WORD>
</LINE>
<LINE>
<WORD coords="776,913,1078,852,909">unidades</WORD>
<WORD coords="1140,905,1219,845,904">He</WORD>
<WORD coords="1277,902,1366,848,901">los</WORD>
<WORD coords="1420,900,1681,844,897">factores</WORD>
<WORD coords="1735,914,1773,860,903">y</WORD>
<WORD coords="1822,892,1980,839,890">llevo</WORD>
<WORD coords="2040,886,2074,840,886">2</WORD>
<WORD coords="2137,884,2395,830,880">decenas</WORD>
<WORD coords="2432,894,2447,867,894">,</WORD>
<WORD coords="2500,897,2539,841,896">y</WORD>
<WORD coords="2588,895,2832,818,870">prosigo</WORD>
<WORD coords="2859,872,2873,836,887">:</WORD>
<WORD coords="2905,870,2944,820,878">4</WORD>
<WORD coords="2996,866,3097,831,865">ve-</WORD>
</LINE>
<LINE>
<WORD coords="781,1015,882,976,1014">ces</WORD>
<WORD coords="939,1012,973,964,1011">5</WORD>
<WORD coords="1031,1010,1138,973,1009">son</WORD>
<WORD coords="1192,1009,1273,958,1008">20</WORD>
<WORD coords="1321,1022,1359,970,1013">y</WORD>
<WORD coords="1417,1005,1454,956,1005">2</WORD>
<WORD coords="1510,1021,1624,965,1000">que</WORD>
<WORD coords="1679,999,1915,942,997">lavaba</WORD>
<WORD coords="1947,993,2054,956,992">son</WORD>
<WORD coords="2099,989,2174,943,989">22</WORD>
<WORD coords="2209,1002,2224,976,996">,</WORD>
<WORD coords="2259,986,2499,929,983">escribo</WORD>
<WORD coords="2553,981,2609,925,980">el</WORD>
<WORD coords="2669,977,2703,931,983">2</WORD>
<WORD coords="2763,994,2799,941,992">y</WORD>
<WORD coords="2844,974,3004,921,972">llevo</WORD>
<WORD coords="3036,987,3096,923,978">2,</WORD>
</LINE>
<LINE>
<WORD coords="777,1140,819,1081,1127">y</WORD>
<WORD coords="872,1115,1164,1058,1113">continúo</WORD>
<WORD coords="1219,1113,1505,1053,1110">diciendo</WORD>
<WORD coords="1540,1107,1554,1073,1106">:</WORD>
<WORD coords="1589,1105,1627,1055,1104">4</WORD>
<WORD coords="1671,1103,1848,1066,1101">veces</WORD>
<WORD coords="1908,1101,1942,1053,1099">2</WORD>
<WORD coords="1976,1098,2080,1061,1097">son</WORD>
<WORD coords="2144,1094,2177,1046,1095">8</WORD>
<WORD coords="2236,1111,2273,1056,1103">y</WORD>
<WORD coords="2327,1091,2361,1043,1093">2</WORD>
<WORD coords="2419,1105,2535,1052,1087">que</WORD>
<WORD coords="2593,1085,2825,1027,1082">llevaba</WORD>
<WORD coords="2862,1077,2969,1039,1076">son</WORD>
<WORD coords="3007,1087,3102,1025,1078">10,</WORD>
</LINE>
<LINE>
<WORD coords="779,1244,983,1185,1220">pongo</WORD>
<WORD coords="1052,1221,1192,1183,1220">cero</WORD>
<WORD coords="1267,1239,1304,1183,1227">y</WORD>
<WORD coords="1378,1216,1433,1161,1215">el</WORD>
<WORD coords="1499,1215,1525,1166,1214">1</WORD>
<WORD coords="1597,1213,1805,1156,1211">coloco</WORD>
<WORD coords="1875,1215,1947,1172,1212">en</WORD>
<WORD coords="2000,1209,2081,1169,1207">un</WORD>
<WORD coords="2133,1228,2306,1148,1202">lugar</WORD>
<WORD coords="2375,1199,2542,1153,1196">antes</WORD>
<WORD coords="2574,1207,2591,1181,1207">,</WORD>
<WORD coords="2652,1213,2690,1155,1210">y</WORD>
<WORD coords="2746,1207,2929,1144,1186">tengo</WORD>
<WORD coords="2986,1199,3118,1138,1178">que.</WORD>
</LINE>
<LINE>
<WORD coords="779,1329,900,1275,1327">256</WORD>
<WORD coords="908,1345,995,1273,1345">X</WORD>
<WORD coords="1047,1326,1088,1274,1325">4</WORD>
<WORD coords="1147,1325,1184,1268,1324">ó</WORD>
<WORD coords="1234,1323,1273,1273,1323">4</WORD>
<WORD coords="1303,1336,1371,1270,1336">X</WORD>
<WORD coords="1422,1320,1539,1268,1320">256</WORD>
<WORD coords="1570,1304,1674,1289,1313">—</WORD>
<WORD coords="1709,1317,1882,1263,1315">1024.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1032,1430,1517,1375,1426">Demostración.</WORD>
<WORD coords="1611,1436,2001,1363,1417">Multiplicar</WORD>
<WORD coords="2075,1412,2139,1376,1412">es</WORD>
<WORD coords="2217,1409,2413,1366,1408">tomar</WORD>
<WORD coords="2464,1406,2545,1367,1405">un</WORD>
<WORD coords="2602,1403,2856,1359,1398">numero</WORD>
<WORD coords="2906,1392,3118,1346,1389">tantas,</WORD>
</LINE>
<LINE>
<WORD coords="784,1541,964,1498,1537">veces</WORD>
<WORD coords="1009,1535,1185,1496,1533">como</WORD>
<WORD coords="1232,1532,1531,1473,1528">unidades</WORD>
<WORD coords="1578,1529,1738,1470,1525">tiene</WORD>
<WORD coords="1797,1521,1929,1477,1520">otro</WORD>
<WORD coords="1992,1542,2132,1462,1524">(40)</WORD>
<WORD coords="2173,1521,2187,1482,1521">;</WORD>
<WORD coords="2222,1531,2369,1476,1511">pero</WORD>
<WORD coords="2423,1509,2495,1474,1508">en</WORD>
<WORD coords="2540,1507,2595,1451,1506">el</WORD>
<WORD coords="2652,1524,2953,1444,1499">ejemplo,</WORD>
<WORD coords="2984,1511,3100,1454,1491">que</WORD>
</LINE>
<LINE>
<WORD coords="787,1645,1114,1585,1640">acabamos</WORD>
<WORD coords="1170,1638,1246,1580,1636">de</WORD>
<WORD coords="1294,1652,1480,1595,1633">poner</WORD>
<WORD coords="1510,1648,1527,1619,1639">,</WORD>
<WORD coords="1574,1630,1790,1574,1627">hemos</WORD>
<WORD coords="1846,1628,2096,1567,1624">tomado</WORD>
<WORD coords="2167,1618,2220,1564,1617">el</WORD>
<WORD coords="2272,1629,2734,1552,1610">multiplicando</WORD>
<WORD coords="2784,1603,2840,1550,1603">A</WORD>
<WORD coords="2906,1599,3117,1548,1597">tantal</WORD>
</LINE>
<LINE>
<WORD coords="788,1747,969,1708,1745">veces</WORD>
<WORD coords="1026,1748,1204,1705,1742">como</WORD>
<WORD coords="1247,1741,1547,1682,1737">unidades</WORD>
<WORD coords="1602,1735,1764,1678,1732">tiene</WORD>
<WORD coords="1819,1729,1874,1674,1728">el</WORD>
<WORD coords="1923,1743,2375,1665,1722">multiplicador</WORD>
<WORD coords="2439,1716,2487,1662,1716">B</WORD>
<WORD coords="2521,1716,2534,1682,1719">:</WORD>
<WORD coords="2570,1727,2713,1676,1711">pues</WORD>
<WORD coords="2759,1707,2970,1651,1703">hemos</WORD>
<WORD coords="3008,1698,3096,1657,1698">to-</WORD>
</LINE>
<LINE>
<WORD coords="788,1852,974,1794,1850">mado</WORD>
<WORD coords="1024,1846,1064,1797,1846">4</WORD>
<WORD coords="1119,1846,1298,1808,1844">veces</WORD>
<WORD coords="1355,1842,1442,1787,1841">las</WORD>
<WORD coords="1505,1843,1803,1780,1836">unidades</WORD>
<WORD coords="1822,1849,1836,1823,1836">,</WORD>
<WORD coords="1861,1836,1901,1783,1834">4</WORD>
<WORD coords="1943,1832,2120,1793,1828">veces</WORD>
<WORD coords="2174,1825,2261,1771,1824">las</WORD>
<WORD coords="2317,1831,2619,1767,1818">decenas,</WORD>
<WORD coords="2672,1814,2712,1765,1819">4</WORD>
<WORD coords="2766,1809,2938,1772,1807">veces</WORD>
<WORD coords="2973,1823,3101,1748,1801">&amp;?c,</WORD>
</LINE>
<LINE>
<WORD coords="789,1977,831,1917,1965">y</WORD>
<WORD coords="887,1953,1064,1917,1952">como</WORD>
<WORD coords="1111,1951,1324,1895,1949">hemos</WORD>
<WORD coords="1377,1947,1638,1888,1944">sumado</WORD>
<WORD coords="1696,1940,1750,1886,1939">al</WORD>
<WORD coords="1804,1939,2023,1881,1936">mismo</WORD>
<WORD coords="2074,1944,2305,1878,1930">tiempo</WORD>
<WORD coords="2358,1925,2535,1870,1922">todos</WORD>
<WORD coords="2611,1918,2702,1865,1917">los</WORD>
<WORD coords="2773,1934,3100,1857,1908">productos</WORD>
</LINE>
<LINE>
<WORD coords="790,2081,1086,2001,2056">parciales</WORD>
<WORD coords="1132,2052,1203,2015,2051">en</WORD>
<WORD coords="1254,2052,1309,1995,2051">el</WORD>
<WORD coords="1350,2051,1607,2009,2046">numero</WORD>
<WORD coords="1642,2045,1689,1989,2045">C</WORD>
<WORD coords="1725,2057,1742,2030,2049">,</WORD>
<WORD coords="1781,2041,2005,1985,2039">resulta</WORD>
<WORD coords="2062,2061,2213,1988,2043">fax,</WORD>
<WORD coords="2276,2036,2332,1982,2034">3,</WORD>
<WORD coords="2356,2004,2393,1975,2020">*</WORD>
<WORD coords="2418,2043,2462,1970,2043">)</WORD>
<WORD coords="2516,2044,2632,1988,2023">que</WORD>
<WORD coords="2690,2028,2815,1977,2022">este</WORD>
<WORD coords="2871,2016,3008,1977,2014">sera</WORD>
<WORD coords="3044,2011,3112,1953,2011">el</WORD>
</LINE>
<LINE>
<WORD coords="796,2193,1100,2104,2160">producto</WORD>
<WORD coords="1150,2156,1298,2099,2154">total</WORD>
<WORD coords="1347,2153,1424,2096,2152">L.</WORD>
<WORD coords="1484,2163,1566,2093,2155">Q.</WORD>
<WORD coords="1622,2149,1701,2092,2149">D.</WORD>
<WORD coords="1758,2146,1836,2090,2145">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="959,2267,1063,2212,2265">46.</WORD>
<WORD coords="1151,2266,1414,2202,2260">Escolio.</WORD>
<WORD coords="1500,2263,1608,2197,2258">Un</WORD>
<WORD coords="1652,2252,1906,2211,2249">numero</WORD>
<WORD coords="1964,2260,2387,2183,2241">multiplicado</WORD>
<WORD coords="2425,2252,2535,2197,2233">por</WORD>
<WORD coords="2592,2232,2619,2185,2237">1</WORD>
<WORD coords="2682,2229,2745,2193,2227">es</WORD>
<WORD coords="2777,2246,2943,2169,2223">igual</WORD>
<WORD coords="2989,2221,3019,2168,2231">á</WORD>
<WORD coords="3056,2235,3123,2164,2220">t\</WORD>
</LINE>
<LINE>
<WORD coords="797,2382,1024,2315,2370">ipismo</WORD>
<WORD coords="1056,2381,1072,2354,2381">,</WORD>
<WORD coords="1104,2386,1250,2328,2364">pues</WORD>
<WORD coords="1289,2364,1438,2307,2361">todo</WORD>
<WORD coords="1486,2358,1742,2317,2356">numero</WORD>
<WORD coords="1773,2353,1838,2317,2351">es</WORD>
<WORD coords="1871,2352,1987,2314,2349">una</WORD>
<WORD coords="2044,2346,2165,2310,2345">vez</WORD>
<WORD coords="2197,2349,2516,2284,2339">sumando;</WORD>
<WORD coords="2549,2335,2633,2279,2334">asi</WORD>
<WORD coords="2669,2333,2704,2286,2342">4</WORD>
<WORD coords="2734,2351,2801,2280,2351">X</WORD>
<WORD coords="2858,2327,2882,2279,2327">1</WORD>
<WORD coords="2918,2337,3021,2297,2343">==</WORD>
<WORD coords="3050,2324,3090,2275,2324">4</WORD>
<WORD coords="3095,2328,3110,2310,2328">*</WORD>
</LINE>
<LINE>
<WORD coords="803,2494,1023,2419,2474">Luego</WORD>
<WORD coords="1073,2472,1109,2435,2472">a</WORD>
<WORD coords="1163,2470,1293,2413,2468">todo</WORD>
<WORD coords="1347,2467,1588,2424,2463">numera</WORD>
<WORD coords="1648,2459,1699,2405,2459">le</WORD>
<WORD coords="1745,2478,2018,2400,2454">podemos</WORD>
<WORD coords="2084,2470,2275,2405,2448">pmer</WORD>
<WORD coords="2327,2465,2441,2402,2441">por</WORD>
<WORD coords="2493,2465,2707,2382,2445">fictor</WORD>
<WORD coords="2767,2435,2824,2382,2434">la</WORD>
<WORD coords="2890,2431,3128,2371,2427">unidad</WORD>
</LINE>
<LINE>
<WORD coords="806,2581,907,2540,2580">sin</WORD>
<WORD coords="962,2601,1072,2538,2576">que</WORD>
<WORD coords="1122,2573,1186,2537,2573">se</WORD>
<WORD coords="1238,2573,1425,2516,2570">altere</WORD>
<WORD coords="1459,2581,1474,2536,2581">;</WORD>
<WORD coords="1507,2585,1616,2528,2565">por</WORD>
<WORD coords="1661,2583,2077,2503,2559">consiguiente</WORD>
<WORD coords="2126,2552,2183,2500,2551">lo</WORD>
<WORD coords="2244,2549,2465,2495,2547">mismo</WORD>
<WORD coords="2507,2544,2569,2509,2543">es</WORD>
<WORD coords="2620,2542,2651,2496,2549">8</WORD>
<WORD coords="2708,2560,2823,2505,2541">que</WORD>
<WORD coords="2884,2535,2916,2488,2546">8</WORD>
<WORD coords="2970,2554,3039,2483,2554">X</WORD>
<WORD coords="3071,2536,3122,2484,2533">l.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="970,2682,1071,2629,2680">47.</WORD>
<WORD coords="1161,2680,1337,2619,2677">Esc*</WORD>
<WORD coords="1391,2676,1496,2618,2673">Un</WORD>
<WORD coords="1543,2670,1797,2629,2666">numero</WORD>
<WORD coords="1841,2675,2262,2600,2657">multiplicado</WORD>
<WORD coords="2320,2671,2427,2615,2652">por</WORD>
<WORD coords="2469,2649,2607,2611,2647">cero</WORD>
<WORD coords="2654,2644,2716,2609,2643">es</WORD>
<WORD coords="2767,2665,2930,2589,2642">igual</WORD>
<WORD coords="2964,2641,2991,2590,2648">á</WORD>
<WORD coords="3028,2643,3124,2606,2642">ce-</WORD>
<WORD coords="3173,2605,3183,2594,2605">&apos;</WORD>
</LINE>
<LINE>
<WORD coords="808,2804,902,2747,2791">10,</WORD>
<WORD coords="932,2786,990,2748,2784">v.</WORD>
<WORD coords="1050,2805,1108,2748,2788">g.</WORD>
<WORD coords="1158,2780,1190,2733,2780">3</WORD>
<WORD coords="1245,2795,1371,2728,2786">XO</WORD>
<WORD coords="1400,2785,1505,2747,2779">=</WORD>
<WORD coords="1547,2773,1587,2725,2773">O</WORD>
<WORD coords="1612,2787,1628,2761,2779">,</WORD>
<WORD coords="1656,2771,1693,2711,2771">ó</WORD>
<WORD coords="1744,2786,1959,2715,2786">0X3</WORD>
<WORD coords="1988,2773,2092,2734,2773">s=</WORD>
<WORD coords="2116,2759,2155,2712,2759">O</WORD>
<WORD coords="2191,2766,2205,2728,2766">;</WORD>
<WORD coords="2239,2776,2345,2721,2755">por</WORD>
<WORD coords="2378,2772,2495,2717,2753">que</WORD>
<WORD coords="2548,2750,2622,2695,2749">de</WORD>
<WORD coords="2666,2750,2862,2704,2747">tomar</WORD>
<WORD coords="2907,2748,2983,2710,2746">un</WORD>
<WORD coords="3019,2746,3125,2710,2745">nu.</WORD>
</LINE>
<LINE>
<WORD coords="810,2893,983,2851,2890">Hiero</WORD>
<WORD coords="1019,2908,1301,2831,2887">ninguna</WORD>
<WORD coords="1366,2883,1475,2845,2882">vez</WORD>
<WORD coords="1536,2880,1575,2823,2878">ó</WORD>
<WORD coords="1640,2876,1718,2819,2875">de</WORD>
<WORD coords="1768,2873,1965,2828,2870">tomar</WORD>
<WORD coords="2011,2868,2263,2809,2865">muchas</WORD>
<WORD coords="2324,2861,2503,2823,2858">veces</WORD>
<WORD coords="2569,2866,2765,2797,2853">nada,</WORD>
<WORD coords="2832,2853,3131,2794,2850">resultará</WORD>
</LINE>
<LINE>
<WORD coords="813,3012,1082,2939,2995">siempre</WORD>
<WORD coords="1129,2991,1311,2934,2989">nada.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="977,3099,1076,3047,3095">48.</WORD>
<WORD coords="1166,3095,1309,3037,3092">Esc.</WORD>
<WORD coords="1403,3089,1557,3033,3088">Para</WORD>
<WORD coords="1606,3100,1980,3025,3081">multiplicar</WORD>
<WORD coords="2053,3078,2133,3039,3076">un</WORD>
<WORD coords="2201,3074,2455,3031,3070">numero</WORD>
<WORD coords="2515,3083,2623,3027,3063">por</WORD>
<WORD coords="2669,3074,2788,3011,3067">10,</WORD>
<WORD coords="2844,3060,2960,3010,3063">100</WORD>
<WORD coords="3010,3103,3142,2997,3068">tf¿|</WORD>
</LINE>
<LINE>
<WORD coords="820,3209,952,3158,3206">esto</WORD>
<WORD coords="1010,3202,1074,3164,3201">es</WORD>
<WORD coords="1107,3214,1124,3187,3214">,</WORD>
<WORD coords="1167,3216,1277,3159,3196">por</WORD>
<WORD coords="1333,3194,1390,3138,3193">la</WORD>
<WORD coords="1438,3193,1666,3133,3190">unidad</WORD>
<WORD coords="1712,3207,1968,3128,3185">seguida</WORD>
<WORD coords="2029,3181,2104,3127,3181">de</WORD>
<WORD coords="2156,3178,2324,3141,3176">ceros</WORD>
<WORD coords="2353,3188,2369,3163,3184">,</WORD>
<WORD coords="2400,3173,2474,3137,3172">no</WORD>
<WORD coords="2521,3186,2640,3114,3169">hay</WORD>
<WORD coords="2675,3165,2802,3127,3162">mas</WORD>
<WORD coords="2847,3178,2961,3127,3161">que</WORD>
<WORD coords="2996,3161,3139,3110,3160">aña-</WORD>
</LINE>
<LINE>
<WORD coords="823,3312,981,3254,3308">dirle</WORD>
<WORD coords="1036,3304,1129,3249,3303">los</WORD>
<WORD coords="1188,3300,1358,3261,3298">ceros</WORD>
<WORD coords="1409,3314,1526,3259,3295">que</WORD>
<WORD coords="1582,3313,1752,3238,3291">sigan</WORD>
<WORD coords="1808,3289,1837,3237,3288">á</WORD>
<WORD coords="1892,3287,1946,3235,3286">la</WORD>
<WORD coords="1998,3286,2229,3228,3282">unidad</WORD>
<WORD coords="2266,3294,2281,3248,3290">;</WORD>
<WORD coords="2320,3277,2370,3243,3275">v.</WORD>
<WORD coords="2405,3298,2466,3242,3287">g.</WORD>
<WORD coords="2521,3273,2592,3225,3276">25</WORD>
<WORD coords="2625,3280,2694,3217,3280">X</WORD>
<WORD coords="2758,3268,2828,3221,3273">\0</WORD>
<WORD coords="2858,3254,2956,3239,3270">—</WORD>
<WORD coords="2988,3276,3129,3214,3266">250;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="825,3416,904,3363,3415">25</WORD>
<WORD coords="959,3430,1028,3355,3430">X</WORD>
<WORD coords="1058,3408,1171,3356,3406">100</WORD>
<WORD coords="1200,3413,1304,3375,3417">=</WORD>
<WORD coords="1333,3402,1493,3350,3400">2500</WORD>
<WORD coords="1497,3398,1508,3386,3408">&apos;</WORD>
<WORD coords="1607,3397,1704,3341,3396">De</WORD>
<WORD coords="1748,3410,1886,3354,3392">aqU1</WORD>
<WORD coords="1960,3388,2022,3353,3387">Se</WORD>
<WORD coords="2064,3386,2300,3330,3383">deduce</WORD>
<WORD coords="2335,3395,2350,3369,3411">&apos;</WORD>
<WORD coords="2406,3396,2516,3341,3377">qU€</WORD>
<WORD coords="2566,3374,2645,3337,3373">UU</WORD>
<WORD coords="2704,3370,2945,3332,3367">numer0</WORD>
<WORD coords="3008,3366,3115,3329,3365">oca</WORD>
<WORD coords="3122,3358,3143,3345,3358">&quot;</WORD>
</LINE>
<LINE>
<WORD coords="830,3519,975,3455,3514">hado</WORD>
<WORD coords="1035,3511,1105,3473,3511">en</WORD>
<WORD coords="1156,3508,1322,3469,3507">ceros</WORD>
<WORD coords="1378,3503,1442,3466,3503">se</WORD>
<WORD coords="1512,3522,1700,3443,3499">puede</WORD>
<WORD coords="1752,3511,2163,3442,3490">descomponer</WORD>
<WORD coords="2213,3483,2281,3447,3482">en</WORD>
<WORD coords="2340,3481,2442,3427,3479">dos</WORD>
<WORD coords="2480,3498,2760,3420,3475">factores</WORD>
<WORD coords="2786,3481,2800,3460,3484">,</WORD>
<WORD coords="2873,3474,2987,3432,3470">uno</WORD>
<WORD coords="3032,3489,3149,3429,3466">que</WORD>
</LINE>
<LINE>
<WORD coords="831,3621,1015,3579,3618">serán</WORD>
<WORD coords="1068,3615,1154,3559,3614">los</WORD>
<WORD coords="1203,3632,1555,3553,3607">guarismos</WORD>
<WORD coords="1610,3623,2054,3540,3599">significativos</WORD>
<WORD coords="2086,3593,2096,3580,3593">.</WORD>
<WORD coords="2125,3609,2165,3553,3599">y</WORD>
<WORD coords="2220,3586,2346,3542,3585">otro</WORD>
<WORD coords="2398,3605,2508,3545,3580">que</WORD>
<WORD coords="2556,3577,2614,3543,3576">es</WORD>
<WORD coords="2672,3574,2727,3522,3573">la</WORD>
<WORD coords="2776,3572,3008,3516,3570">unidad</WORD>
<WORD coords="3052,3567,3145,3529,3567">se.</WORD>
</LINE>
<LINE>
<WORD coords="828,3744,1021,3663,3720">guida</WORD>
<WORD coords="1074,3718,1144,3662,3718">de</WORD>
<WORD coords="1175,3717,1257,3663,3715">los</WORD>
<WORD coords="1299,3714,1465,3674,3712">ceros</WORD>
<WORD coords="1512,3730,1622,3670,3706">que</WORD>
<WORD coords="1662,3704,1821,3652,3702">tenia</WORD>
<WORD coords="1868,3699,1923,3642,3698">el</WORD>
<WORD coords="1953,3696,2193,3655,3692">numero</WORD>
<WORD coords="2226,3700,2242,3657,3699">;</WORD>
<WORD coords="2288,3688,2373,3653,3686">asi</WORD>
<WORD coords="2423,3686,2578,3637,3686">2500</WORD>
<WORD coords="2603,3690,2708,3651,3686">j—</WORD>
<WORD coords="2739,3677,2809,3629,3683">25</WORD>
<WORD coords="2872,3697,2937,3632,3697">X</WORD>
<WORD coords="3010,3672,3123,3622,3672">l00</WORD>
<WORD coords="3129,3673,3146,3653,3673">&apos;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1000,3822,1101,3769,3820">49.</WORD>
<WORD coords="1196,3820,1391,3761,3817">Corol.</WORD>
<WORD coords="1481,3829,1697,3757,3809">Luego</WORD>
<WORD coords="1760,3824,1903,3766,3803">para</WORD>
<WORD coords="1961,3812,2332,3738,3793">multiplicar</WORD>
<WORD coords="2389,3790,2465,3753,3788">un</WORD>
<WORD coords="2544,3785,2796,3743,3781">numero</WORD>
<WORD coords="2858,3794,2965,3741,3775">por</WORD>
<WORD coords="3020,3774,3156,3729,3773">otro</WORD>
</LINE>
<LINE>
<WORD coords="842,3947,963,3887,3926">que</WORD>
<WORD coords="1013,3942,1189,3879,3922">tenga</WORD>
<WORD coords="1235,3922,1316,3883,3920">un</WORD>
<WORD coords="1355,3918,1485,3862,3916">solo</WORD>
<WORD coords="1530,3936,1839,3857,3910">guarismo</WORD>
<WORD coords="1886,3923,2289,3842,3898">significativo</WORD>
<WORD coords="2335,3913,2594,3836,3891">seguido</WORD>
<WORD coords="2652,3886,2728,3832,3885">de</WORD>
<WORD coords="2769,3881,2938,3845,3879">ceros</WORD>
<WORD coords="2972,3890,2987,3868,3893">,</WORD>
<WORD coords="3018,3878,3156,3824,3877">bas-</WORD>
</LINE>
<LINE>
<WORD coords="846,4041,911,3990,4040">ta</WORD>
<WORD coords="962,4050,1332,3968,4030">multiplicar</WORD>
<WORD coords="1401,4026,1585,3962,4023">dichj</WORD>
<WORD coords="1647,4019,1902,3975,4016">numero</WORD>
<WORD coords="1965,4029,2079,3968,4007">por</WORD>
<WORD coords="2151,4004,2208,3947,4003">el</WORD>
<WORD coords="2259,4022,2569,3945,4000">guarismo</WORD>
<WORD coords="2642,4014,3049,3929,3988">«ignifi-ativo</WORD>
<WORD coords="3113,4000,3157,3941,4000">y</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0028.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0029.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0029.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1244,536,1382,446,536">19</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="150,647,365,582,641">añadir</WORD>
<WORD coords="424,639,480,581,638">al</WORD>
<WORD coords="539,652,835,579,634">producto</WORD>
<WORD coords="914,632,1005,575,630">los</WORD>
<WORD coords="1078,628,1248,590,626">ceros</WORD>
<WORD coords="1313,643,1424,590,624">que</WORD>
<WORD coords="1479,640,1598,567,621">hay</WORD>
<WORD coords="1671,634,1931,563,615">después</WORD>
<WORD coords="1987,610,2082,556,609">del</WORD>
<WORD coords="2143,626,2451,555,609">guarismo</WORD>
</LINE>
<LINE>
<WORD coords="149,766,550,687,742">significativo</WORD>
<WORD coords="584,760,599,712,750">;</WORD>
<WORD coords="629,740,682,705,740">v.</WORD>
<WORD coords="736,760,793,705,745">g.</WORD>
<WORD coords="850,737,903,681,737">si</WORD>
<WORD coords="959,752,1171,677,732">quiero</WORD>
<WORD coords="1231,745,1602,673,726">multiplicar</WORD>
<WORD coords="1639,723,1716,674,724">46</WORD>
<WORD coords="1781,740,1886,683,719">por</WORD>
<WORD coords="1944,730,2107,669,721">200,</WORD>
<WORD coords="2162,728,2453,661,713">multipü-</WORD>
</LINE>
<LINE>
<WORD coords="145,854,279,807,849">tare</WORD>
<WORD coords="325,849,380,796,849">el</WORD>
<WORD coords="429,849,521,797,848">46.</WORD>
<WORD coords="572,866,677,809,845">por</WORD>
<WORD coords="728,844,764,799,844">2</WORD>
<WORD coords="848,863,889,807,851">y</WORD>
<WORD coords="963,839,1014,786,838">al</WORD>
<WORD coords="1067,856,1360,784,834">producto</WORD>
<WORD coords="1417,831,1491,781,831">92</WORD>
<WORD coords="1545,831,1596,778,830">le</WORD>
<WORD coords="1656,828,1902,771,824">añadiré</WORD>
<WORD coords="1966,821,2050,769,819">los</WORD>
<WORD coords="2112,821,2221,763,819">dos</WORD>
<WORD coords="2282,820,2452,785,817">ceros</WORD>
</LINE>
<LINE>
<WORD coords="152,957,261,899,954">del</WORD>
<WORD coords="312,972,764,897,951">multiplicador</WORD>
<WORD coords="819,966,853,915,955">y</WORD>
<WORD coords="902,945,1030,911,945">sera</WORD>
<WORD coords="1084,946,1137,893,944">el</WORD>
<WORD coords="1202,961,1498,885,937">producto</WORD>
<WORD coords="1552,936,1731,886,934">9200.</WORD>
<WORD coords="1823,929,1908,877,928">La</WORD>
<WORD coords="1956,928,2139,892,926">razón</WORD>
<WORD coords="2199,924,2260,891,923">es</WORD>
<WORD coords="2297,942,2312,878,940">¿</WORD>
<WORD coords="2348,939,2451,872,928">pé»</WORD>
</LINE>
<LINE>
<WORD coords="154,1080,271,1023,1059">que</WORD>
<WORD coords="316,1074,872,999,1055">descomponiendo</WORD>
<WORD coords="921,1052,972,1000,1051">el</WORD>
<WORD coords="1019,1052,1097,996,1052">f&quot;</WORD>
<WORD coords="1118,1061,1261,1008,1046">t&gt;r,</WORD>
<WORD coords="1316,1061,1430,1008,1042">que</WORD>
<WORD coords="1487,1042,1662,984,1040">acaba</WORD>
<WORD coords="1716,1035,1783,1001,1033">en</WORD>
<WORD coords="1848,1032,2014,998,1030">ceros</WORD>
<WORD coords="2065,1030,2135,996,1029">en</WORD>
<WORD coords="2185,1028,2291,976,1028">do,</WORD>
<WORD coords="2327,1029,2358,973,1029">f</WORD>
<WORD coords="2371,1028,2450,994,1027">te</WORD>
</LINE>
<LINE>
<WORD coords="152,1164,313,1119,1162">lores</WORD>
<WORD coords="346,1184,369,1146,1173">,</WORD>
<WORD coords="401,1162,749,1105,1159">tendremos</WORD>
<WORD coords="800,1174,914,1122,1156">que</WORD>
<WORD coords="962,1155,1038,1105,1155">46</WORD>
<WORD coords="1075,1165,1137,1101,1165">X</WORD>
<WORD coords="1176,1152,1293,1102,1152">200</WORD>
<WORD coords="1322,1135,1422,1121,1146">—</WORD>
<WORD coords="1454,1146,1528,1092,1149">46</WORD>
<WORD coords="1585,1147,1652,1092,1147">X</WORD>
<WORD coords="1680,1140,1711,1095,1149">2</WORD>
<WORD coords="1767,1160,1836,1089,1160">X</WORD>
<WORD coords="1876,1138,1983,1089,1136">100</WORD>
<WORD coords="2016,1152,2032,1103,1156">5</WORD>
<WORD coords="2084,1134,2139,1101,1133">ac</WORD>
<WORD coords="2139,1152,2151,1103,1152">J</WORD>
<WORD coords="2165,1134,2221,1098,1132">111</WORD>
<WORD coords="2282,1132,2377,1093,1131">Un</WORD>
<WORD coords="2390,1131,2449,1098,1131">^</WORD>
</LINE>
<LINE>
<WORD coords="155,1269,286,1232,1266">mes</WORD>
<WORD coords="340,1283,457,1229,1265">que</WORD>
<WORD coords="508,1280,875,1208,1260">multiplicar</WORD>
<WORD coords="926,1260,1005,1209,1259">46</WORD>
<WORD coords="1069,1273,1171,1222,1254">por</WORD>
<WORD coords="1230,1253,1262,1208,1253">2</WORD>
<WORD coords="1320,1271,1433,1220,1251">que</WORD>
<WORD coords="1495,1250,1569,1196,1248">da</WORD>
<WORD coords="1605,1249,1678,1200,1248">92</WORD>
<WORD coords="1708,1261,1721,1235,1261">,</WORD>
<WORD coords="1749,1267,1788,1211,1259">y</WORD>
<WORD coords="1836,1247,1958,1197,1244">este</WORD>
<WORD coords="2017,1261,2307,1185,1238">producto</WORD>
<WORD coords="2342,1256,2450,1198,1237">por</WORD>
</LINE>
<LINE>
<WORD coords="160,1378,277,1324,1378">X00</WORD>
<WORD coords="309,1387,323,1324,1387">J</WORD>
<WORD coords="380,1388,521,1332,1369">par-a</WORD>
<WORD coords="581,1367,638,1315,1366">lo</WORD>
<WORD coords="693,1385,809,1330,1366">que</WORD>
<WORD coords="868,1365,1031,1312,1363">basta</WORD>
<WORD coords="1076,1360,1347,1305,1358">añadirle</WORD>
<WORD coords="1403,1378,1535,1300,1365">[48]</WORD>
<WORD coords="1582,1354,1689,1299,1352">dos</WORD>
<WORD coords="1753,1351,1943,1314,1349">ceros.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="310,1477,410,1426,1474">50.</WORD>
<WORD coords="459,1468,468,1458,1468">•</WORD>
<WORD coords="508,1474,822,1417,1471">Problema</WORD>
<WORD coords="850,1471,865,1435,1471">:</WORD>
<WORD coords="957,1487,1333,1409,1464">Multiplicar</WORD>
<WORD coords="1387,1461,1464,1424,1461">un</WORD>
<WORD coords="1495,1459,1732,1420,1458">numero</WORD>
<WORD coords="1789,1476,2115,1408,1453">compuesto</WORD>
<WORD coords="2158,1473,2274,1405,1448">por</WORD>
<WORD coords="2314,1449,2443,1402,1446">otro</WORD>
</LINE>
<LINE>
<WORD coords="147,1602,500,1533,1579">compuesto,</WORD>
<WORD coords="558,1582,562,1576,1582">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="305,1686,677,1626,1682">Resolución.</WORD>
<WORD coords="770,1683,882,1627,1682">l.°</WORD>
<WORD coords="985,1683,1252,1623,1678">Tómese</WORD>
<WORD coords="1319,1695,1429,1639,1674">por</WORD>
<WORD coords="1476,1692,1924,1615,1669">multiplicador</WORD>
<WORD coords="1954,1670,2007,1615,1669">el</WORD>
<WORD coords="2046,1667,2297,1631,1666">numero</WORD>
<WORD coords="2333,1684,2447,1629,1667">que</WORD>
</LINE>
<LINE>
<WORD coords="143,1807,320,1741,1786">$enga</WORD>
<WORD coords="379,1788,586,1751,1787">menos</WORD>
<WORD coords="647,1807,988,1731,1784">guarismos</WORD>
<WORD coords="1041,1802,1078,1747,1800">y</WORD>
<WORD coords="1133,1799,1455,1728,1780">coloqúese</WORD>
<WORD coords="1510,1797,1729,1722,1777">debajo</WORD>
<WORD coords="1804,1775,1900,1720,1774">del</WORD>
<WORD coords="1976,1773,2107,1729,1771">otro</WORD>
<WORD coords="2167,1789,2448,1735,1770">numero,</WORD>
</LINE>
<LINE>
<WORD coords="138,1893,217,1835,1891">de</WORD>
<WORD coords="265,1893,447,1836,1890">modo</WORD>
<WORD coords="507,1911,621,1856,1891">que</WORD>
<WORD coords="681,1890,764,1837,1889">las</WORD>
<WORD coords="808,1890,1104,1833,1887">unidades</WORD>
<WORD coords="1166,1887,1330,1843,1885">estén</WORD>
<WORD coords="1392,1904,1610,1827,1882">debajo</WORD>
<WORD coords="1669,1881,1744,1825,1881">de</WORD>
<WORD coords="1805,1878,1890,1825,1878">las</WORD>
<WORD coords="1948,1877,2242,1821,1875">unidades</WORD>
<WORD coords="2280,1891,2296,1865,1886">,</WORD>
<WORD coords="2355,1875,2444,1825,1875">las</WORD>
</LINE>
<LINE>
<WORD coords="138,1996,397,1939,1994">decenas</WORD>
<WORD coords="456,2017,674,1941,1994">debajo</WORD>
<WORD coords="714,1995,789,1941,1995">de</WORD>
<WORD coords="839,1994,925,1942,1993">las</WORD>
<WORD coords="989,1991,1245,1937,1989">decenas</WORD>
<WORD coords="1444,2008,1482,1952,1998">y</WORD>
<WORD coords="1536,1986,1717,1932,1984">tirese</WORD>
<WORD coords="1773,1984,1888,1947,1982">una</WORD>
<WORD coords="1947,1983,2099,1926,1981">linea</WORD>
<WORD coords="2157,1984,2445,1929,1981">horizon-</WORD>
</LINE>
<LINE>
<WORD coords="135,2118,253,2048,2101">tal;</WORD>
<WORD coords="312,2103,367,2056,2099">2.</WORD>
<WORD coords="393,2084,427,2049,2089">°</WORD>
<WORD coords="460,2120,933,2047,2101">Multipliqúese</WORD>
<WORD coords="987,2103,1131,2044,2099">todo</WORD>
<WORD coords="1177,2100,1230,2045,2097">el</WORD>
<WORD coords="1286,2113,1745,2040,2095">multiplicando</WORD>
<WORD coords="1793,2112,1898,2056,2092">por</WORD>
<WORD coords="1931,2092,1985,2036,2091">el</WORD>
<WORD coords="2041,2107,2262,2035,2086">primer</WORD>
<WORD coords="2295,2108,2442,2050,2086">gua.</WORD>
</LINE>
<LINE>
<WORD coords="142,2208,331,2152,2206">rismo</WORD>
<WORD coords="388,2206,464,2151,2206">de</WORD>
<WORD coords="522,2207,575,2152,2206">la</WORD>
<WORD coords="638,2207,896,2150,2205">derecha</WORD>
<WORD coords="953,2203,1050,2149,2202">del</WORD>
<WORD coords="1130,2221,1581,2147,2200">multiplicador</WORD>
<WORD coords="1637,2221,1774,2143,2210">(45)</WORD>
<WORD coords="1843,2218,1880,2163,2210">y</WORD>
<WORD coords="1949,2198,2289,2141,2196">escríbanse</WORD>
<WORD coords="2352,2197,2442,2145,2195">los</WORD>
</LINE>
<LINE>
<WORD coords="141,2333,469,2257,2309">productos</WORD>
<WORD coords="527,2329,819,2256,2308">parciales</WORD>
<WORD coords="878,2330,1096,2253,2307">debajo</WORD>
<WORD coords="1151,2306,1224,2253,2306">de</WORD>
<WORD coords="1285,2306,1336,2253,2305">la</WORD>
<WORD coords="1396,2326,1588,2271,2305">raya,</WORD>
<WORD coords="1643,2316,2023,2249,2303">empezando</WORD>
<WORD coords="2085,2301,2156,2246,2300">de</WORD>
<WORD coords="2194,2323,2444,2245,2300">-debajo</WORD>
</LINE>
<LINE>
<WORD coords="145,2415,241,2360,2413">del</WORD>
<WORD coords="299,2434,526,2361,2414">primer</WORD>
<WORD coords="579,2436,888,2359,2413">guarismo</WORD>
<WORD coords="935,2413,1032,2359,2412">del</WORD>
<WORD coords="1106,2432,1558,2355,2411">multiplicador</WORD>
<WORD coords="1612,2424,1626,2379,2417">;</WORD>
<WORD coords="1665,2411,1713,2361,2411">3.</WORD>
<WORD coords="1816,2426,2284,2350,2407">Multipliqúese</WORD>
<WORD coords="2321,2409,2450,2365,2407">-Ira</WORD>
</LINE>
<LINE>
<WORD coords="146,2519,263,2483,2519">vez</WORD>
<WORD coords="320,2519,467,2463,2518">todo</WORD>
<WORD coords="520,2520,574,2464,2519">el</WORD>
<WORD coords="628,2535,1091,2462,2518">multiplicando</WORD>
<WORD coords="1151,2535,1259,2482,2516">por</WORD>
<WORD coords="1313,2518,1366,2464,2517">el</WORD>
<WORD coords="1437,2538,1711,2462,2515">segundo</WORD>
<WORD coords="1761,2536,2070,2459,2513">guarismo</WORD>
<WORD coords="2125,2513,2223,2459,2512">del</WORD>
<WORD coords="2285,2514,2443,2460,2513">mu!*</WORD>
</LINE>
<LINE>
<WORD coords="142,2644,468,2568,2623">tiplicador</WORD>
<WORD coords="492,2638,507,2612,2638">,</WORD>
<WORD coords="538,2645,573,2588,2635">y</WORD>
<WORD coords="606,2625,660,2570,2623">el</WORD>
<WORD coords="695,2639,989,2568,2622">producto</WORD>
<WORD coords="1038,2627,1099,2587,2624">se</WORD>
<WORD coords="1132,2639,1451,2574,2621">empezará</WORD>
<WORD coords="1486,2620,1513,2586,2620">a</WORD>
<WORD coords="1548,2621,1798,2565,2619">escribir</WORD>
<WORD coords="1838,2619,2025,2563,2618">desde</WORD>
<WORD coords="2069,2619,2120,2565,2618">el</WORD>
<WORD coords="2154,2640,2302,2585,2617">segu</WORD>
<WORD coords="2323,2617,2438,2565,2616">ido</WORD>
</LINE>
<LINE>
<WORD coords="146,2750,457,2671,2727">guarismo</WORD>
<WORD coords="487,2729,585,2672,2728">del</WORD>
<WORD coords="631,2746,1083,2671,2726">multiplicador</WORD>
<WORD coords="1116,2728,1128,2693,2726">:</WORD>
<WORD coords="1160,2725,1254,2672,2724">del</WORD>
<WORD coords="1311,2725,1530,2673,2724">mismo</WORD>
<WORD coords="1580,2725,1763,2669,2724">modo</WORD>
<WORD coords="1797,2724,1858,2688,2723">se</WORD>
<WORD coords="1913,2724,2262,2669,2722">continuará</WORD>
<WORD coords="2297,2721,2448,2666,2720">mul-</WORD>
</LINE>
<LINE>
<WORD coords="150,2849,484,2776,2831">tiplicando</WORD>
<WORD coords="542,2833,690,2776,2831">todo</WORD>
<WORD coords="743,2832,797,2777,2831">el</WORD>
<WORD coords="852,2834,1104,2794,2831">numero</WORD>
<WORD coords="1157,2847,1435,2774,2829">superior</WORD>
<WORD coords="1465,2845,1572,2792,2829">por</WORD>
<WORD coords="1629,2829,1806,2773,2827">todos</WORD>
<WORD coords="1838,2828,1926,2774,2826">los</WORD>
<WORD coords="1975,2847,2315,2771,2825">guarismos</WORD>
<WORD coords="2350,2826,2450,2771,2825">del</WORD>
</LINE>
<LINE>
<WORD coords="149,2953,604,2879,2935">mu&apos;tiplicador</WORD>
<WORD coords="634,2952,650,2924,2952">,</WORD>
<WORD coords="692,2954,989,2881,2934">poniendo</WORD>
<WORD coords="1041,2934,1130,2880,2933">los</WORD>
<WORD coords="1187,2948,1513,2877,2931">productos</WORD>
<WORD coords="1564,2931,1710,2897,2931">unos</WORD>
<WORD coords="1774,2951,1991,2877,2930">debajo</WORD>
<WORD coords="2047,2930,2121,2877,2930">de</WORD>
<WORD coords="2194,2930,2354,2889,2929">otros</WORD>
<WORD coords="2407,2949,2447,2894,2949">y</WORD>
</LINE>
<LINE>
<WORD coords="146,3056,527,2985,3039">empezando</WORD>
<WORD coords="564,3039,590,2986,3039">á</WORD>
<WORD coords="624,3041,967,2986,3039">escribirlos</WORD>
<WORD coords="1013,3058,1231,2984,3038">debajo</WORD>
<WORD coords="1278,3037,1354,2982,3036">de</WORD>
<WORD coords="1412,3036,1464,2983,3035">la</WORD>
<WORD coords="1519,3036,1668,2979,3033">cifra</WORD>
<WORD coords="1729,3051,2218,2980,3033">mu&apos;tip&apos;icadora</WORD>
<WORD coords="2256,3046,2270,3003,3041">;</WORD>
<WORD coords="2305,3034,2359,2987,3034">4.</WORD>
<WORD coords="2390,3015,2425,2981,3015">°</WORD>
</LINE>
<LINE>
<WORD coords="143,3146,360,3088,3143">Tirese</WORD>
<WORD coords="416,3161,676,3090,3143">después</WORD>
<WORD coords="718,3146,835,3110,3145">una</WORD>
<WORD coords="897,3164,1035,3109,3144">raya</WORD>
<WORD coords="1092,3163,1309,3087,3141">debajo</WORD>
<WORD coords="1358,3141,1432,3087,3140">de</WORD>
<WORD coords="1491,3138,1579,3088,3137">los</WORD>
<WORD coords="1629,3158,1885,3084,3137">product</WORD>
<WORD coords="1909,3137,1955,3104,3137">)s</WORD>
<WORD coords="2018,3154,2347,3082,3135">parciales,</WORD>
<WORD coords="2408,3159,2449,3103,3159">y</WORD>
</LINE>
<LINE>
<WORD coords="144,3254,200,3193,3252">la</WORD>
<WORD coords="247,3251,420,3211,3249">suma</WORD>
<WORD coords="468,3250,541,3195,3249">de</WORD>
<WORD coords="594,3250,772,3194,3249">todos</WORD>
<WORD coords="825,3250,970,3196,3248">ellos</WORD>
<WORD coords="1028,3250,1162,3210,3248">sera</WORD>
<WORD coords="1208,3246,1261,3191,3245">el</WORD>
<WORD coords="1320,3263,1611,3189,3243">producto</WORD>
<WORD coords="1668,3242,1815,3189,3241">total</WORD>
<WORD coords="1865,3263,2107,3186,3241">pedido.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="303,3374,592,3299,3353">Ejemplo.</WORD>
<WORD coords="683,3372,1154,3298,3352">Multipliqúese</WORD>
<WORD coords="1233,3350,1289,3296,3350">el</WORD>
<WORD coords="1368,3354,1622,3312,3349">numero</WORD>
<WORD coords="1972,3348,2003,3302,3349">8</WORD>
<WORD coords="2126,3349,2159,3299,3349">6</WORD>
<WORD coords="2209,3351,2329,3302,3350">5..</WORD>
<WORD coords="2392,3352,2443,3298,3352">A.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="146,3460,205,3404,3460">A</WORD>
<WORD coords="243,3459,255,3445,3459">.</WORD>
<WORD coords="292,3461,306,3445,3460">.</WORD>
<WORD coords="342,3460,496,3409,3459">8065</WORD>
<WORD coords="558,3479,670,3422,3458">por</WORD>
<WORD coords="733,3460,785,3403,3460">B</WORD>
<WORD coords="820,3459,832,3444,3459">.</WORD>
<WORD coords="868,3459,879,3445,3459">.</WORD>
<WORD coords="909,3459,1052,3407,3457">423.</WORD>
<WORD coords="2054,3452,2093,3405,3454">4</WORD>
<WORD coords="2136,3453,2171,3408,3455">2</WORD>
<WORD coords="2218,3456,2332,3406,3454">3,,</WORD>
<WORD coords="2402,3456,2452,3401,3456">B</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="382,3566,695,3509,3564">Colocado</WORD>
<WORD coords="775,3564,830,3510,3564">el</WORD>
<WORD coords="939,3568,1195,3525,3562">numero</WORD>
<WORD coords="1251,3561,1458,3521,3559">menor</WORD>
<WORD coords="1513,3556,1619,3501,3556">de-</WORD>
<WORD coords="2008,3548,2103,3538,3547">—</WORD>
<WORD coords="2103,3547,2113,3537,3560">•</WORD>
<WORD coords="2139,3542,2144,3540,3547">-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="130,3685,269,3608,3663">bajo</WORD>
<WORD coords="330,3668,425,3611,3665">del</WORD>
<WORD coords="489,3687,697,3632,3667">mayor</WORD>
<WORD coords="730,3684,749,3655,3676">,</WORD>
<WORD coords="799,3669,975,3633,3667">como</WORD>
<WORD coords="1025,3670,1087,3634,3668">se</WORD>
<WORD coords="1146,3669,1217,3634,3668">ve</WORD>
<WORD coords="1270,3667,1299,3618,3666">á</WORD>
<WORD coords="1358,3664,1412,3613,3664">la</WORD>
<WORD coords="1471,3666,1623,3628,3662">mar-</WORD>
<WORD coords="1891,3662,1924,3619,3664">2</WORD>
<WORD coords="1969,3663,2008,3615,3664">4</WORD>
<WORD coords="2058,3662,2168,3612,3663">19</WORD>
<WORD coords="2214,3663,2248,3617,3663">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="137,3765,251,3709,3743">gen</WORD>
<WORD coords="278,3748,291,3715,3748">;</WORD>
<WORD coords="325,3749,662,3693,3747">Comienzo</WORD>
<WORD coords="697,3748,725,3699,3748">á</WORD>
<WORD coords="787,3757,1153,3695,3747">multiplicar</WORD>
<WORD coords="1199,3750,1345,3695,3748">todo</WORD>
<WORD coords="1395,3745,1442,3694,3745">el</WORD>
<WORD coords="1477,3750,1599,3696,3746">muí</WORD>
<WORD coords="1814,3745,1837,3700,3746">1</WORD>
<WORD coords="1892,3742,1925,3694,3744">6</WORD>
<WORD coords="1979,3744,1998,3702,3745">1</WORD>
<WORD coords="2055,3741,2087,3695,3744">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="136,3840,485,3772,3823">tip&apos;icando.</WORD>
<WORD coords="524,3830,579,3778,3830">A</WORD>
<WORD coords="642,3846,749,3794,3829">por</WORD>
<WORD coords="795,3830,846,3776,3828">el</WORD>
<WORD coords="911,3846,1136,3775,3827">primer</WORD>
<WORD coords="1189,3848,1497,3775,3825">guarismo</WORD>
<WORD coords="1528,3826,1623,3771,3825">del</WORD>
<WORD coords="1726,3823,1757,3777,3825">3</WORD>
<WORD coords="1808,3823,1840,3780,3824">2</WORD>
<WORD coords="1888,3822,1920,3779,3824">2</WORD>
<WORD coords="1969,3823,2002,3775,3824">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="135,3922,590,3852,3904">multiplicador</WORD>
<WORD coords="639,3911,714,3875,3910">en</WORD>
<WORD coords="790,3908,915,3866,3907">esta</WORD>
<WORD coords="971,3908,1164,3852,3906">forma</WORD>
<WORD coords="1197,3914,1213,3879,3910">;</WORD>
<WORD coords="1270,3907,1302,3861,3907">3</WORD>
<WORD coords="1350,3907,1526,3871,3906">veces</WORD>
<WORD coords="1583,3908,1627,3859,3903">5.</WORD>
<WORD coords="2006,3902,2014,3885,3902">«</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="135,3987,245,3942,3983">ton</WORD>
<WORD coords="292,4007,404,3940,3997">15,</WORD>
<WORD coords="452,4014,652,3953,3990">pongo</WORD>
<WORD coords="711,3992,767,3936,3991">el</WORD>
<WORD coords="819,3988,854,3942,3989">5</WORD>
<WORD coords="911,4013,1130,3935,3989">debajo</WORD>
<WORD coords="1188,3993,1287,3935,3991">del</WORD>
<WORD coords="1348,3988,1380,3939,3989">3</WORD>
<WORD coords="1432,4008,1470,3951,4000">y</WORD>
<WORD coords="1511,3992,1620,3933,3990">lie-</WORD>
<WORD coords="1725,3994,2335,3935,3991">341149o..</WORD>
<WORD coords="2387,3994,2435,3938,3994">C</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0029.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0030.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0030.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1946,540,2092,452,539">20</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="861,637,943,601,636">vo</WORD>
<WORD coords="1007,638,1035,586,638">1</WORD>
<WORD coords="1073,650,1090,605,643">;</WORD>
<WORD coords="1154,637,1185,589,636">3</WORD>
<WORD coords="1247,636,1426,597,634">veces</WORD>
<WORD coords="1480,632,1517,580,632">6</WORD>
<WORD coords="1543,643,1562,618,643">t</WORD>
<WORD coords="1615,632,1687,581,631">18</WORD>
<WORD coords="1744,652,1786,594,642">y</WORD>
<WORD coords="1844,632,1871,583,632">1</WORD>
<WORD coords="1960,651,2073,598,630">qne</WORD>
<WORD coords="2132,632,2286,575,630">lltba</WORD>
<WORD coords="2324,644,2339,617,637">,</WORD>
<WORD coords="2398,629,2472,578,629">19</WORD>
<WORD coords="2507,644,2521,618,644">,</WORD>
<WORD coords="2575,649,2776,592,626">pongo</WORD>
<WORD coords="2829,629,2867,576,630">9</WORD>
<WORD coords="2952,650,3179,571,627">debajo</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="863,743,942,689,742">de</WORD>
<WORD coords="1030,740,1112,689,739">las</WORD>
<WORD coords="1172,740,1424,686,738">decenas</WORD>
<WORD coords="1482,757,1521,703,747">y</WORD>
<WORD coords="1579,737,1738,684,735">llevo</WORD>
<WORD coords="1799,738,1824,693,738">1</WORD>
<WORD coords="1867,751,1884,704,743">;</WORD>
<WORD coords="1944,736,1978,688,735">3</WORD>
<WORD coords="2033,735,2212,699,734">veces</WORD>
<WORD coords="2268,733,2309,687,733">O</WORD>
<WORD coords="2368,733,2430,699,732">es</WORD>
<WORD coords="2487,733,2528,687,733">O</WORD>
<WORD coords="2562,749,2579,722,749">,</WORD>
<WORD coords="2632,753,2780,697,733">pues</WORD>
<WORD coords="2862,754,3059,698,733">pongo</WORD>
<WORD coords="3117,733,3181,678,733">el</WORD>
</LINE>
<LINE>
<WORD coords="872,848,901,799,848">1</WORD>
<WORD coords="964,862,1079,810,845">que</WORD>
<WORD coords="1129,857,1329,790,843">llevé;</WORD>
<WORD coords="1384,842,1414,795,842">3</WORD>
<WORD coords="1466,842,1642,806,841">veces</WORD>
<WORD coords="1701,842,1733,794,842">8</WORD>
<WORD coords="1767,846,1781,826,843">,</WORD>
<WORD coords="1841,841,1920,793,841">24</WORD>
<WORD coords="1951,856,1966,829,856">,</WORD>
<WORD coords="2020,863,2215,803,835">pongo</WORD>
<WORD coords="2275,840,2315,789,840">4</WORD>
<WORD coords="2364,859,2401,802,849">y</WORD>
<WORD coords="2450,838,2610,785,837">llevo</WORD>
<WORD coords="2664,837,2700,790,838">2</WORD>
<WORD coords="2766,856,2883,802,839">que</WORD>
<WORD coords="2942,838,3002,783,837">lo</WORD>
<WORD coords="3073,838,3180,801,837">es-</WORD>
</LINE>
<LINE>
<WORD coords="873,954,1042,898,952">cribo</WORD>
<WORD coords="1098,949,1127,898,949">á</WORD>
<WORD coords="1171,949,1226,896,949">la</WORD>
<WORD coords="1284,966,1604,892,946">izquierda</WORD>
<WORD coords="1652,946,1748,892,945">del</WORD>
<WORD coords="1806,945,1863,896,942">4-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1122,1057,1279,1004,1055">Paso</WORD>
<WORD coords="1336,1054,1364,1003,1054">á</WORD>
<WORD coords="1420,1068,1786,997,1050">multiplicar</WORD>
<WORD coords="1842,1051,1989,997,1049">todo</WORD>
<WORD coords="2056,1052,2109,996,1050">el</WORD>
<WORD coords="2170,1069,2629,993,1048">multiplicando</WORD>
<WORD coords="2692,1049,2748,995,1049">A</WORD>
<WORD coords="2809,1066,2920,1009,1046">por</WORD>
<WORD coords="2967,1049,3020,992,1048">el</WORD>
<WORD coords="3093,1047,3188,1009,1046">se-</WORD>
</LINE>
<LINE>
<WORD coords="875,1190,1078,1111,1165">gundo</WORD>
<WORD coords="1130,1181,1437,1106,1158">guarismo</WORD>
<WORD coords="1492,1156,1528,1109,1156">2</WORD>
<WORD coords="1591,1156,1689,1101,1155">del</WORD>
<WORD coords="1741,1173,2194,1099,1153">multiplicador</WORD>
<WORD coords="2251,1153,2301,1098,1153">B</WORD>
<WORD coords="2346,1172,2384,1117,1172">y</WORD>
<WORD coords="2437,1174,2579,1095,1152">digo</WORD>
<WORD coords="2615,1152,2626,1119,1153">:</WORD>
<WORD coords="2665,1152,2698,1105,1153">2</WORD>
<WORD coords="2736,1151,2913,1112,1149">veces</WORD>
<WORD coords="2972,1151,3007,1104,1152">5</WORD>
<WORD coords="3036,1167,3054,1138,1167">,</WORD>
<WORD coords="3089,1167,3192,1103,1157">10,</WORD>
</LINE>
<LINE>
<WORD coords="873,1292,1074,1235,1269">pongo</WORD>
<WORD coords="1224,1285,1439,1208,1262">debajo</WORD>
<WORD coords="1485,1262,1558,1208,1261">de</WORD>
<WORD coords="1604,1260,1660,1207,1259">la</WORD>
<WORD coords="1718,1259,1867,1202,1257">cifra</WORD>
<WORD coords="1917,1274,2410,1201,1255">multiplicadora</WORD>
<WORD coords="2465,1256,2497,1210,1257">2</WORD>
<WORD coords="2552,1275,2592,1220,1266">y</WORD>
<WORD coords="2635,1255,2795,1202,1254">llevo</WORD>
<WORD coords="2863,1257,2885,1210,1257">1</WORD>
<WORD coords="2931,1272,2946,1228,1265">;</WORD>
<WORD coords="2982,1259,3016,1212,1258">2</WORD>
<WORD coords="3086,1257,3190,1221,1256">ve-</WORD>
</LINE>
<LINE>
<WORD coords="872,1379,975,1341,1377">ces</WORD>
<WORD coords="1026,1388,1107,1324,1378">6,</WORD>
<WORD coords="1167,1373,1237,1325,1372">12</WORD>
<WORD coords="1284,1389,1320,1335,1379">y</WORD>
<WORD coords="1381,1369,1406,1322,1369">1</WORD>
<WORD coords="1468,1385,1583,1330,1366">que</WORD>
<WORD coords="1638,1364,1873,1308,1362">llevaba</WORD>
<WORD coords="1931,1374,2052,1315,1367">13,</WORD>
<WORD coords="2134,1381,2335,1324,1358">pongo</WORD>
<WORD coords="2396,1357,2428,1310,1360">3</WORD>
<WORD coords="2472,1379,2508,1324,1371">y</WORD>
<WORD coords="2556,1359,2716,1305,1358">llevo</WORD>
<WORD coords="2773,1376,2853,1315,1367">1;</WORD>
<WORD coords="2909,1363,2944,1316,1363">2</WORD>
<WORD coords="3003,1364,3188,1324,1362">veces</WORD>
</LINE>
<LINE>
<WORD coords="966,1482,1030,1448,1481">es</WORD>
<WORD coords="1152,1494,1166,1468,1483">,</WORD>
<WORD coords="1207,1478,1446,1419,1475">escribo</WORD>
<WORD coords="1508,1472,1561,1418,1471">el</WORD>
<WORD coords="1628,1470,1655,1422,1470">1</WORD>
<WORD coords="1731,1488,1847,1432,1470">que</WORD>
<WORD coords="1900,1468,2133,1411,1466">llevaba</WORD>
<WORD coords="2167,1479,2184,1433,1474">;</WORD>
<WORD coords="2242,1468,2278,1419,1468">2</WORD>
<WORD coords="2354,1468,2530,1428,1466">veces</WORD>
<WORD coords="2581,1484,2842,1415,1474">8,16,</WORD>
<WORD coords="2894,1485,3095,1428,1464">pongo</WORD>
<WORD coords="3149,1464,3190,1411,1464">6</WORD>
</LINE>
<LINE>
<WORD coords="878,1613,917,1555,1602">y</WORD>
<WORD coords="980,1591,1007,1542,1590">1</WORD>
<WORD coords="1066,1590,1093,1537,1589">á</WORD>
<WORD coords="1150,1588,1220,1552,1587">su</WORD>
<WORD coords="1275,1603,1617,1524,1582">izquierda.</WORD>
<WORD coords="3163,1586,3184,1547,1586">i</WORD>
</LINE>
<LINE>
<WORD coords="1131,1700,1488,1634,1689">Multiplico</WORD>
<WORD coords="1541,1703,1800,1631,1684">después</WORD>
<WORD coords="1853,1682,2000,1626,1681">todo</WORD>
<WORD coords="2057,1681,2113,1624,1680">el</WORD>
<WORD coords="2174,1697,2638,1621,1676">multiplicando</WORD>
<WORD coords="2694,1694,2805,1638,1675">por</WORD>
<WORD coords="2867,1677,2921,1623,1677">el</WORD>
<WORD coords="2990,1677,3195,1631,1675">tercer</WORD>
</LINE>
<LINE>
<WORD coords="884,1829,1195,1748,1802">guarismo</WORD>
<WORD coords="1250,1796,1347,1741,1795">del</WORD>
<WORD coords="1396,1809,1848,1733,1790">multiplicador</WORD>
<WORD coords="1891,1806,2008,1752,1788">que</WORD>
<WORD coords="2063,1786,2126,1750,1785">es</WORD>
<WORD coords="2177,1788,2214,1729,1788">4</WORD>
<WORD coords="2251,1800,2268,1773,1800">,</WORD>
<WORD coords="2326,1803,2363,1748,1802">y</WORD>
<WORD coords="2415,1802,2560,1727,1781">digo</WORD>
<WORD coords="2592,1785,2608,1748,1786">:</WORD>
<WORD coords="2638,1780,2681,1730,1783">4</WORD>
<WORD coords="2734,1780,2912,1743,1778">veces</WORD>
<WORD coords="2968,1780,3003,1731,1783">5</WORD>
<WORD coords="3035,1796,3054,1766,1796">,</WORD>
<WORD coords="3088,1797,3194,1730,1784">20,</WORD>
</LINE>
<LINE>
<WORD coords="887,1931,1084,1873,1906">pongo</WORD>
<WORD coords="1136,1904,1179,1855,1904">O</WORD>
<WORD coords="1228,1921,1445,1844,1900">debajo</WORD>
<WORD coords="1502,1897,1598,1841,1896">del</WORD>
<WORD coords="1651,1895,1691,1844,1895">4</WORD>
<WORD coords="1727,1913,1764,1859,1902">y</WORD>
<WORD coords="1812,1892,1972,1838,1891">llevo</WORD>
<WORD coords="2023,1891,2061,1843,1891">2</WORD>
<WORD coords="2113,1910,2153,1855,1900">y</WORD>
<WORD coords="2203,1889,2291,1833,1888">asi</WORD>
<WORD coords="2357,1886,2644,1830,1884">continúo</WORD>
<WORD coords="2699,1900,2808,1848,1883">por</WORD>
<WORD coords="2861,1884,3039,1829,1883">todos</WORD>
<WORD coords="3103,1884,3197,1829,1882">los</WORD>
</LINE>
<LINE>
<WORD coords="887,2036,1225,1959,2010">guarismos</WORD>
<WORD coords="1278,2005,1377,1950,2004">del</WORD>
<WORD coords="1436,2016,1892,1942,1999">multiplicando</WORD>
<WORD coords="1936,1996,2108,1941,1995">Insta</WORD>
<WORD coords="2157,1994,2211,1941,1993">el</WORD>
<WORD coords="2263,1994,2479,1937,1992">uUimo</WORD>
<WORD coords="2513,1989,2546,1942,1992">8</WORD>
<WORD coords="2580,1989,2595,1955,1992">:</WORD>
<WORD coords="2634,1987,2753,1932,1986">tiro</WORD>
<WORD coords="2796,1989,2852,1935,1988">la</WORD>
<WORD coords="2902,2006,3063,1950,1985">raya,</WORD>
<WORD coords="3092,1988,3197,1950,1986">su-</WORD>
</LINE>
<LINE>
<WORD coords="887,2125,991,2087,2123">mo</WORD>
<WORD coords="1044,2141,1234,2080,2119">según</WORD>
<WORD coords="1284,2135,1478,2059,2112">reglas</WORD>
<WORD coords="1529,2110,1708,2054,2109">todos</WORD>
<WORD coords="1766,2108,1856,2051,2106">los</WORD>
<WORD coords="1905,2124,2234,2048,2102">productos</WORD>
<WORD coords="2284,2120,2572,2041,2097">parciales</WORD>
<WORD coords="2606,2115,2623,2084,2115">,</WORD>
<WORD coords="2674,2116,2714,2058,2110">y</WORD>
<WORD coords="2785,2095,2842,2042,2094">la</WORD>
<WORD coords="2886,2094,3058,2053,2091">suma</WORD>
<WORD coords="3141,2093,3193,2034,2093">C</WORD>
</LINE>
<LINE>
<WORD coords="889,2229,1022,2192,2228">sera</WORD>
<WORD coords="1073,2224,1129,2169,2223">el</WORD>
<WORD coords="1169,2239,1466,2165,2219">producto</WORD>
<WORD coords="1508,2216,1660,2160,2214">total</WORD>
<WORD coords="1709,2231,1960,2155,2210">pedido.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1136,2330,1616,2268,2324">Demostración.</WORD>
<WORD coords="1706,2338,1907,2262,2316">Según</WORD>
<WORD coords="1959,2316,2233,2268,2313">nuestras</WORD>
<WORD coords="2290,2331,2485,2256,2309">reglas</WORD>
<WORD coords="2519,2322,2537,2297,2316">,</WORD>
<WORD coords="2584,2307,2645,2269,2307">se</WORD>
<WORD coords="2689,2306,2768,2249,2305">ha</WORD>
<WORD coords="2821,2318,3195,2244,2301">multiplica-</WORD>
</LINE>
<LINE>
<WORD coords="888,2447,970,2389,2445">do</WORD>
<WORD coords="1024,2442,1171,2384,2441">todo</WORD>
<WORD coords="1218,2435,1273,2380,2434">el</WORD>
<WORD coords="1331,2447,1792,2368,2425">multiplicando</WORD>
<WORD coords="1834,2424,1887,2369,2424">A</WORD>
<WORD coords="1934,2441,2043,2382,2419">por</WORD>
<WORD coords="2087,2419,2171,2365,2418">las</WORD>
<WORD coords="2227,2418,2524,2359,2415">unidades</WORD>
<WORD coords="2563,2427,2578,2401,2427">,</WORD>
<WORD coords="2621,2429,2727,2373,2409">por</WORD>
<WORD coords="2779,2407,2866,2353,2406">las</WORD>
<WORD coords="2926,2406,3188,2350,2402">decenas</WORD>
</LINE>
<LINE>
<WORD coords="890,2573,931,2513,2569">y</WORD>
<WORD coords="980,2566,1088,2511,2547">por</WORD>
<WORD coords="1124,2546,1207,2493,2545">las</WORD>
<WORD coords="1269,2542,1544,2496,2539">centenas</WORD>
<WORD coords="1580,2550,1596,2521,2540">,</WORD>
<WORD coords="1648,2531,1776,2486,2529">esto</WORD>
<WORD coords="1816,2527,1878,2492,2527">es</WORD>
<WORD coords="1913,2542,1929,2516,2542">,</WORD>
<WORD coords="1983,2544,2089,2488,2524">por</WORD>
<WORD coords="2146,2523,2323,2466,2522">todas</WORD>
<WORD coords="2365,2519,2451,2465,2518">las</WORD>
<WORD coords="2507,2536,2703,2470,2514">partes</WORD>
<WORD coords="2741,2513,2840,2456,2510">del</WORD>
<WORD coords="2896,2523,3193,2450,2506">multipli-</WORD>
</LINE>
<LINE>
<WORD coords="891,2655,1078,2599,2654">cador</WORD>
<WORD coords="1107,2666,1124,2620,2666">;</WORD>
<WORD coords="1167,2669,1348,2595,2649">luego</WORD>
<WORD coords="1395,2644,1447,2590,2644">sí</WORD>
<WORD coords="1504,2643,1811,2600,2639">sumamos</WORD>
<WORD coords="1870,2633,2030,2588,2631">estos</WORD>
<WORD coords="2101,2647,2424,2571,2625">productos</WORD>
<WORD coords="2497,2638,2785,2563,2617">parciales</WORD>
<WORD coords="2818,2629,2835,2602,2629">,</WORD>
<WORD coords="2908,2613,2964,2556,2611">la</WORD>
<WORD coords="3022,2613,3197,2570,2610">suma</WORD>
</LINE>
<LINE>
<WORD coords="897,2762,949,2708,2762">C</WORD>
<WORD coords="1001,2777,1310,2642,2756">esp&apos;resavá</WORD>
<WORD coords="1329,2775,1518,2700,2750">&quot;(ax.</WORD>
<WORD coords="1582,2746,1635,2699,2742">3.</WORD>
<WORD coords="1658,2720,1696,2691,2728">*</WORD>
<WORD coords="1722,2761,1768,2688,2761">J</WORD>
<WORD coords="1830,2741,1885,2685,2741">el</WORD>
<WORD coords="1937,2756,2238,2680,2734">producto</WORD>
<WORD coords="2294,2730,2467,2673,2728">total.</WORD>
<WORD coords="2566,2731,2825,2667,2721">Ahora,</WORD>
<WORD coords="2893,2714,3069,2677,2713">como</WORD>
<WORD coords="3121,2712,3199,2657,2711">de</WORD>
</LINE>
<LINE>
<WORD coords="894,2882,1267,2809,2862">multiplicar</WORD>
<WORD coords="1324,2858,1379,2805,2858">el</WORD>
<WORD coords="1432,2874,1707,2797,2853">segundo</WORD>
<WORD coords="1762,2871,2072,2791,2845">guarismo</WORD>
<WORD coords="2118,2840,2216,2784,2839">del</WORD>
<WORD coords="2274,2849,2768,2773,2829">multiplicador,</WORD>
<WORD coords="2834,2837,2953,2782,2820">que</WORD>
<WORD coords="3021,2815,3085,2779,2814">es</WORD>
<WORD coords="3141,2818,3201,2759,2816">el</WORD>
</LINE>
<LINE>
<WORD coords="897,2979,974,2922,2977">de</WORD>
<WORD coords="1036,2972,1292,2917,2968">decenas</WORD>
<WORD coords="1324,2982,1342,2952,2982">,</WORD>
<WORD coords="1376,2982,1484,2927,2962">por</WORD>
<WORD coords="1529,2962,1608,2924,2959">un</WORD>
<WORD coords="1669,2956,1797,2903,2955">solo</WORD>
<WORD coords="1850,2974,2157,2896,2948">guarismo</WORD>
<WORD coords="2211,2942,2307,2887,2941">del</WORD>
<WORD coords="2361,2951,2820,2874,2931">multiplicando</WORD>
<WORD coords="2870,2927,3070,2869,2924">hande</WORD>
<WORD coords="3107,2920,3200,2884,2919">re-</WORD>
</LINE>
<LINE>
<WORD coords="896,3082,1089,3026,3078">saltar</WORD>
<WORD coords="1135,3075,1391,3022,3071">decenas</WORD>
<WORD coords="1427,3081,1443,3037,3073">;</WORD>
<WORD coords="1513,3065,1869,3009,3061">deberemos</WORD>
<WORD coords="1917,3074,2234,2995,3050">principiar</WORD>
<WORD coords="2290,3045,2317,2994,3046">á</WORD>
<WORD coords="2379,3042,2631,2984,3038">escribir</WORD>
<WORD coords="2711,3033,2835,2987,3031">este</WORD>
<WORD coords="2895,3046,3196,2971,3023">producto</WORD>
</LINE>
<LINE>
<WORD coords="894,3187,1090,3130,3183">desde</WORD>
<WORD coords="1130,3179,1187,3125,3178">el</WORD>
<WORD coords="1244,3194,1519,3117,3172">segundo</WORD>
<WORD coords="1571,3187,1745,3116,3166">lugar</WORD>
<WORD coords="1796,3163,1898,3108,3161">del</WORD>
<WORD coords="1933,3177,2226,3103,3155">producto</WORD>
<WORD coords="2275,3150,2536,3093,3146">anterior</WORD>
<WORD coords="2568,3155,2583,3130,3155">,</WORD>
<WORD coords="2617,3157,2757,3100,3137">para</WORD>
<WORD coords="2817,3152,2933,3097,3132">que</WORD>
<WORD coords="2956,3129,3216,3088,3126">^cor-</WORD>
</LINE>
<LINE>
<WORD coords="898,3304,1244,3230,3284">respondan</WORD>
<WORD coords="1289,3279,1362,3243,3279">en</WORD>
<WORD coords="1416,3275,1696,3220,3273">columna</WORD>
<WORD coords="1750,3269,1832,3216,3267">las</WORD>
<WORD coords="1893,3265,2187,3206,3260">unidades</WORD>
<WORD coords="2247,3255,2319,3200,3254">de</WORD>
<WORD coords="2367,3252,2447,3215,3250">un</WORD>
<WORD coords="2491,3247,2710,3192,3243">mismo</WORD>
<WORD coords="2776,3259,2963,3182,3236">grado</WORD>
<WORD coords="3014,3253,3054,3197,3256">y</WORD>
<WORD coords="3142,3232,3209,3193,3230">se</WORD>
</LINE>
<LINE>
<WORD coords="901,3413,1105,3337,3392">pueda</WORD>
<WORD coords="1161,3389,1427,3329,3386">hacerla</WORD>
<WORD coords="1478,3381,1671,3342,3379">suma.</WORD>
<WORD coords="1761,3372,1957,3318,3369">Como</WORD>
<WORD coords="2010,3366,2065,3313,3365">el</WORD>
<WORD coords="2124,3362,2344,3307,3359">mismo</WORD>
<WORD coords="2393,3354,2851,3294,3348">razonamiento</WORD>
<WORD coords="2911,3358,3218,3283,3334">podemoá</WORD>
</LINE>
<LINE>
<WORD coords="903,3499,1089,3442,3495">hacer</WORD>
<WORD coords="1145,3495,1219,3440,3494">de</WORD>
<WORD coords="1268,3505,1685,3430,3485">cualesquiera</WORD>
<WORD coords="1733,3478,1894,3432,3475">otros</WORD>
<WORD coords="1924,3471,2208,3430,3465">números</WORD>
<WORD coords="2270,3475,2384,3424,3458">que</WORD>
<WORD coords="2445,3455,2506,3420,3454">se</WORD>
<WORD coords="2559,3451,2668,3415,3450">nos</WORD>
<WORD coords="2714,3448,2831,3394,3447">den</WORD>
<WORD coords="2890,3462,3031,3404,3440">para</WORD>
<WORD coords="3064,3440,3221,3384,3439">mul-</WORD>
</LINE>
<LINE>
<WORD coords="905,3621,1148,3545,3599">tiplicar</WORD>
<WORD coords="1191,3609,1205,3585,3602">,</WORD>
<WORD coords="1248,3596,1472,3539,3592">resulta</WORD>
<WORD coords="1557,3587,1635,3533,3587">L.</WORD>
<WORD coords="1687,3595,1768,3528,3586">Q.</WORD>
<WORD coords="1830,3579,1907,3524,3579">D.</WORD>
<WORD coords="1959,3576,2040,3519,3576">H.</WORD>
<WORD coords="2133,3592,2533,3503,3561">(Hacerse).</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1073,3705,1173,3656,3702">51.</WORD>
<WORD coords="1267,3700,1469,3641,3698">Escol.</WORD>
<WORD coords="1562,3693,1818,3633,3688">Cuando</WORD>
<WORD coords="1867,3683,1986,3644,3680">uno</WORD>
<WORD coords="2049,3676,2085,3622,3674">ó</WORD>
<WORD coords="2131,3673,2337,3616,3668">ambos</WORD>
<WORD coords="2389,3666,2654,3608,3661">factores</WORD>
<WORD coords="2714,3658,2938,3601,3656">acaban</WORD>
<WORD coords="2994,3655,3066,3616,3653">en</WORD>
<WORD coords="3128,3649,3226,3613,3648">ce-</WORD>
</LINE>
<LINE>
<WORD coords="905,3817,979,3777,3815">TO</WORD>
<WORD coords="1075,3809,1173,3691,3808">se&apos;</WORD>
<WORD coords="1208,3807,1455,3749,3803">abrevia</WORD>
<WORD coords="1506,3798,1561,3744,3797">la</WORD>
<WORD coords="1621,3811,1944,3733,3788">operación</WORD>
<WORD coords="1976,3797,1992,3771,3794">,</WORD>
<WORD coords="2041,3791,2598,3713,3770">multiplicándolos</WORD>
<WORD coords="2634,3779,2651,3751,3778">,</WORD>
<WORD coords="2680,3764,2855,3723,3760">como</WORD>
<WORD coords="2912,3758,3069,3699,3756">sino&quot;</WORD>
<WORD coords="3108,3755,3225,3698,3755">ha-</WORD>
</LINE>
<LINE>
<WORD coords="915,3924,1083,3800,3918">biJse</WORD>
<WORD coords="1143,3913,1294,3858,3911">tales</WORD>
<WORD coords="1354,3906,1525,3870,3904">ceros</WORD>
<WORD coords="1562,3916,1577,3891,3916">,</WORD>
<WORD coords="1621,3921,1661,3865,3908">y</WORD>
<WORD coords="1710,3896,2052,3832,3890">añadiendo</WORD>
<WORD coords="2103,3882,2157,3827,3881">al</WORD>
<WORD coords="2214,3895,2506,3820,3872">producto</WORD>
<WORD coords="2560,3867,2758,3825,3865">tantos</WORD>
<WORD coords="2813,3867,2984,3828,3863">ceros</WORD>
<WORD coords="3048,3860,3229,3819,3857">cuan-</WORD>
</LINE>
<LINE>
<WORD coords="919,4029,1019,3982,4028">tos</WORD>
<WORD coords="1070,4042,1187,3965,4021">hay</WORD>
<WORD coords="1250,4017,1307,3971,4016">al</WORD>
<WORD coords="1359,4013,1441,3958,4012">fin</WORD>
<WORD coords="1498,4010,1573,3954,4010">de</WORD>
<WORD coords="1614,4008,1825,3947,4002">ambos</WORD>
<WORD coords="1861,3997,2124,3940,3992">Actores</WORD>
<WORD coords="2173,4008,2414,3931,3980">juntos-</WORD>
<WORD coords="2512,3974,2642,3917,3973">Los</WORD>
<WORD coords="2693,3973,2960,3913,3969">factores</WORD>
<WORD coords="3015,3968,3079,3929,3967">se</WORD>
<WORD coords="3128,3963,3235,3922,3962">co-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0030.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0031.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0031.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1274,702,1414,612,701">21</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="180,780,357,717,778">tocan</WORD>
<WORD coords="410,785,590,736,781">como</WORD>
<WORD coords="634,785,701,744,784">se</WORD>
<WORD coords="752,786,826,742,784">ve</WORD>
<WORD coords="871,788,944,747,788">en</WORD>
<WORD coords="993,790,1087,731,789">los</WORD>
<WORD coords="1132,814,1432,735,795">ejemplos</WORD>
<WORD coords="1477,827,1811,742,804">siguientes</WORD>
<WORD coords="1865,813,1922,756,813">A</WORD>
<WORD coords="1977,832,2019,775,826">y</WORD>
<WORD coords="2058,820,2134,759,818">B.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="510,943,552,892,953">4</WORD>
<WORD coords="591,944,628,896,954">2</WORD>
<WORD coords="1753,979,2121,918,964">45000</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="517,1047,552,997,1048">3</WORD>
<WORD coords="596,1047,634,1000,1048">4</WORD>
<WORD coords="671,1049,717,1002,1049">O</WORD>
<WORD coords="757,1050,797,1002,1050">O</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="421,1259,535,1207,1259">16</WORD>
<WORD coords="580,1260,615,1211,1260">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1757,1073,1795,1025,1073">2</WORD>
<WORD coords="1841,1074,1877,1024,1074">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1147,1189,1267,1106,1165">(B)</WORD>
<WORD coords="2278,1220,2373,1139,1199">(A</WORD>
<WORD coords="2379,1222,2414,1139,1200">)</WORD>
<WORD coords="2480,1175,2497,1118,1175">I</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1676,1284,1788,1234,1284">13</WORD>
<WORD coords="1834,1288,1872,1238,1288">5</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="336,1362,366,1308,1362">1</WORD>
<WORD coords="414,1362,450,1314,1362">2</WORD>
<WORD coords="496,1362,534,1312,1362">6</WORD>
<WORD coords="1666,1384,1708,1332,1384">9</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="334,1580,942,1516,1577">14280000</WORD>
<WORD coords="976,1584,1038,1532,1580">O.</WORD>
<WORD coords="1592,1596,1710,1544,1595">10</WORD>
<WORD coords="1752,1596,1784,1546,1596">3</WORD>
<WORD coords="1830,1608,2032,1552,1605">500</WORD>
<WORD coords="2070,1616,2132,1562,1614">0.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="406,1734,500,1676,1733">La</WORD>
<WORD coords="540,1738,734,1694,1736">razón</WORD>
<WORD coords="784,1738,862,1682,1738">de</WORD>
<WORD coords="910,1744,1038,1696,1742">esta</WORD>
<WORD coords="1088,1764,1350,1690,1750">practica</WORD>
<WORD coords="1396,1756,1464,1714,1755">es</WORD>
<WORD coords="1494,1770,1512,1740,1770">,</WORD>
<WORD coords="1574,1776,1692,1720,1761">que</WORD>
<WORD coords="1764,1766,1856,1706,1764">Jos</WORD>
<WORD coords="1938,1778,2200,1710,1773">factores</WORD>
<WORD coords="2278,1788,2492,1728,1783">termi.</WORD>
</LINE>
<LINE>
<WORD coords="160,1834,354,1776,1833">nados</WORD>
<WORD coords="396,1838,474,1798,1837">en</WORD>
<WORD coords="522,1842,666,1802,1840">cero</WORD>
<WORD coords="712,1844,804,1786,1842">los</WORD>
<WORD coords="864,1864,1158,1790,1849">podernos</WORD>
<WORD coords="1216,1876,1660,1798,1858">descomponer</WORD>
<WORD coords="1708,1890,1854,1812,1877">(48)</WORD>
<WORD coords="1910,1874,1982,1836,1873">en</WORD>
<WORD coords="2044,1880,2160,1822,1878">dos</WORD>
<WORD coords="2218,1890,2486,1822,1886">factores</WORD>
</LINE>
<LINE>
<WORD coords="154,1958,198,1900,1962">y</WORD>
<WORD coords="240,1946,522,1898,1943">entonces</WORD>
<WORD coords="552,1954,902,1892,1950">tendremos</WORD>
<WORD coords="940,1956,1012,1918,1955">en</WORD>
<WORD coords="1044,1958,1098,1902,1958">el</WORD>
<WORD coords="1154,1982,1420,1904,1962">ejemplo</WORD>
<WORD coords="1450,1966,1504,1910,1966">B</WORD>
<WORD coords="1560,1970,1684,1924,1969">esta</WORD>
<WORD coords="1718,1994,2028,1922,1976">espresion</WORD>
<WORD coords="2058,1986,2078,1946,1985">:</WORD>
<WORD coords="2100,1984,2176,1930,1983">42</WORD>
<WORD coords="2208,2006,2276,1936,2006">X</WORD>
<WORD coords="2328,1992,2490,1940,1991">1000</WORD>
</LINE>
<LINE>
<WORD coords="158,2062,230,1988,2062">X</WORD>
<WORD coords="276,2046,354,1994,2054">34</WORD>
<WORD coords="382,2066,450,1998,2066">X</WORD>
<WORD coords="518,2050,634,2000,2053">100</WORD>
<WORD coords="660,2064,678,2040,2072">,</WORD>
<WORD coords="732,2072,772,2016,2072">y</WORD>
<WORD coords="816,2058,998,2016,2056">como</WORD>
<WORD coords="1046,2060,1104,2004,2060">el</WORD>
<WORD coords="1160,2066,1350,2008,2064">orden</WORD>
<WORD coords="1414,2070,1490,2012,2070">de</WORD>
<WORD coords="1556,2074,1646,2018,2072">los</WORD>
<WORD coords="1700,2086,1962,2018,2079">factores</WORD>
<WORD coords="2020,2084,2102,2048,2084">no</WORD>
<WORD coords="2172,2096,2362,2036,2090">altera</WORD>
<WORD coords="2418,2100,2478,2042,2098">el</WORD>
</LINE>
<LINE>
<WORD coords="154,2168,498,2092,2149">producto,</WORD>
<WORD coords="540,2172,870,2098,2156">podremos</WORD>
<WORD coords="938,2166,1176,2104,2162">indicar</WORD>
<WORD coords="1218,2168,1296,2110,2168">de</WORD>
<WORD coords="1350,2174,1476,2126,2171">esta</WORD>
<WORD coords="1544,2184,1808,2134,2179">suerte:</WORD>
<WORD coords="1890,2186,1964,2138,2186">42</WORD>
<WORD coords="2002,2210,2068,2142,2210">X</WORD>
<WORD coords="2104,2192,2176,2140,2191">34</WORD>
<WORD coords="2216,2216,2284,2148,2216">X</WORD>
<WORD coords="2326,2200,2480,2148,2198">&apos;000</WORD>
</LINE>
<LINE>
<WORD coords="154,2266,224,2198,2266">X</WORD>
<WORD coords="280,2254,394,2202,2259">100</WORD>
<WORD coords="422,2268,440,2222,2268">;</WORD>
<WORD coords="478,2274,620,2202,2256">aqui</WORD>
<WORD coords="676,2260,742,2222,2259">se</WORD>
<WORD coords="798,2262,874,2224,2262">ve</WORD>
<WORD coords="926,2284,1044,2228,2267">que</WORD>
<WORD coords="1078,2268,1134,2214,2268">el</WORD>
<WORD coords="1188,2274,1270,2220,2274">42</WORD>
<WORD coords="1314,2274,1380,2238,2274">se</WORD>
<WORD coords="1436,2278,1512,2224,2278">ha</WORD>
<WORD coords="1564,2280,1642,2224,2280">de</WORD>
<WORD coords="1692,2308,2062,2230,2288">multiplicar</WORD>
<WORD coords="2114,2314,2218,2258,2296">por</WORD>
<WORD coords="2270,2300,2348,2250,2299">34</WORD>
<WORD coords="2414,2304,2474,2246,2303">lo</WORD>
</LINE>
<LINE>
<WORD coords="150,2372,270,2314,2357">qne</WORD>
<WORD coords="318,2358,394,2302,2358">da</WORD>
<WORD coords="446,2362,594,2312,2366">1428</WORD>
<WORD coords="630,2378,650,2350,2382">,</WORD>
<WORD coords="672,2368,850,2326,2366">como</WORD>
<WORD coords="890,2374,1016,2326,2372">este</WORD>
<WORD coords="1068,2396,1370,2324,2379">producto</WORD>
<WORD coords="1400,2386,1464,2348,2385">se</WORD>
<WORD coords="1496,2390,1648,2328,2388">debe</WORD>
<WORD coords="1708,2416,2080,2338,2395">multiplicar</WORD>
<WORD coords="2122,2420,2230,2362,2403">por</WORD>
<WORD coords="2288,2420,2470,2358,2410">1000,</WORD>
</LINE>
<LINE>
<WORD coords="146,2462,380,2402,2460">bastará</WORD>
<WORD coords="438,2470,712,2408,2466">añadirle</WORD>
<WORD coords="768,2474,892,2426,2472">tres</WORD>
<WORD coords="944,2480,1116,2438,2478">ceros</WORD>
<WORD coords="1152,2508,1288,2426,2496">[48]</WORD>
<WORD coords="1318,2502,1336,2474,2502">,</WORD>
<WORD coords="1370,2504,1412,2450,2500">y</WORD>
<WORD coords="1468,2496,1770,2434,2492">debiendo</WORD>
<WORD coords="1810,2504,2084,2444,2500">también</WORD>
<WORD coords="2126,2510,2258,2462,2507">este</WORD>
<WORD coords="2316,2518,2466,2474,2515">nue-</WORD>
</LINE>
<LINE>
<WORD coords="144,2564,224,2524,2564">vo</WORD>
<WORD coords="274,2584,576,2510,2568">producto</WORD>
<WORD coords="632,2596,1082,2518,2578">multiplicarse</WORD>
<WORD coords="1132,2604,1240,2548,2588">por</WORD>
<WORD coords="1302,2594,1418,2540,2592">100</WORD>
<WORD coords="1460,2594,1516,2538,2593">le</WORD>
<WORD coords="1570,2604,1960,2540,2600">añadiremos</WORD>
<WORD coords="2018,2610,2182,2560,2606">otros</WORD>
<WORD coords="2212,2616,2324,2558,2615">dos</WORD>
<WORD coords="2362,2622,2464,2582,2620">ce-</WORD>
</LINE>
<LINE>
<WORD coords="140,2666,240,2624,2666">ros</WORD>
<WORD coords="270,2686,288,2656,2692">,</WORD>
<WORD coords="344,2674,458,2630,2672">con</WORD>
<WORD coords="504,2676,566,2618,2675">lo</WORD>
<WORD coords="620,2694,738,2636,2680">que</WORD>
<WORD coords="792,2700,994,2628,2685">queda</WORD>
<WORD coords="1046,2698,1440,2634,2693">demostrada</WORD>
<WORD coords="1492,2706,1738,2656,2701">nuestra</WORD>
<WORD coords="1796,2726,2058,2652,2710">practica</WORD>
<WORD coords="2090,2728,2110,2678,2724">;</WORD>
<WORD coords="2164,2720,2262,2658,2719">Lo</WORD>
<WORD coords="2308,2726,2454,2666,2723">mis.</WORD>
</LINE>
<LINE>
<WORD coords="140,2770,244,2730,2770">nao</WORD>
<WORD coords="294,2778,566,2716,2776">diremos</WORD>
<WORD coords="624,2784,724,2726,2784">del</WORD>
<WORD coords="780,2808,1050,2732,2788">ejemplo</WORD>
<WORD coords="1116,2800,1200,2742,2798">A,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="302,2880,404,2830,2888">52.</WORD>
<WORD coords="488,2902,686,2824,2887">Mpeal,</WORD>
<WORD coords="776,2898,1032,2834,2894">Cuando</WORD>
<WORD coords="1076,2900,1130,2846,2900">el</WORD>
<WORD coords="1216,2932,1676,2852,2913">multiplicador</WORD>
<WORD coords="1718,2926,1882,2864,2924">tiene</WORD>
<WORD coords="1936,2932,2108,2884,2931">eeros</WORD>
<WORD coords="2160,2944,2450,2876,2939">interme-</WORD>
</LINE>
<LINE>
<WORD coords="142,2982,278,2922,2980">d.os</WORD>
<WORD coords="306,2998,326,2970,3006">,</WORD>
<WORD coords="370,2984,436,2948,2984">se</WORD>
<WORD coords="492,2992,736,2932,2988">abrevia</WORD>
<WORD coords="786,2996,838,2940,2995">la</WORD>
<WORD coords="892,3018,1218,2948,3003">operación</WORD>
<WORD coords="1272,3014,1382,2974,3012">con</WORD>
<WORD coords="1436,3020,1568,2964,3018">solo</WORD>
<WORD coords="1618,3048,1990,2972,3028">mult.plicar</WORD>
<WORD coords="2044,3038,2134,2980,3036">los</WORD>
<WORD coords="2210,3056,2450,2988,3044">guarís,</WORD>
</LINE>
<LINE>
<WORD coords="132,3084,268,3044,3082">mos</WORD>
<WORD coords="320,3108,758,3034,3094">sicativos</WORD>
<WORD coords="806,3104,908,3044,3101">del</WORD>
<WORD coords="964,3130,1420,3052,3112">multiplicador</WORD>
<WORD coords="1488,3140,1596,3086,3123">por</WORD>
<WORD coords="1644,3130,1794,3074,3129">todo</WORD>
<WORD coords="1860,3134,1918,3078,3134">el</WORD>
<WORD coords="1978,3158,2446,3084,3145">mullicando</WORD>
</LINE>
<LINE>
<WORD coords="132,3186,226,3146,3186">sm</WORD>
<WORD coords="278,3190,460,3130,3189">hacer</WORD>
<WORD coords="506,3196,646,3158,3195">caso</WORD>
<WORD coords="706,3202,784,3146,3200">de</WORD>
<WORD coords="834,3208,924,3148,3204">los</WORD>
<WORD coords="982,3214,1152,3172,3212">ceros</WORD>
<WORD coords="1184,3226,1202,3204,3226">,</WORD>
<WORD coords="1232,3238,1610,3170,3223">empezando</WORD>
<WORD coords="1640,3230,1670,3196,3230">a</WORD>
<WORD coords="1726,3240,1980,3180,3236">escribir</WORD>
<WORD coords="2034,3244,2126,3186,3242">los</WORD>
<WORD coords="2178,3262,2442,3192,3248">produc</WORD>
</LINE>
<LINE>
<WORD coords="130,3288,226,3240,3286">tos</WORD>
<WORD coords="286,3308,580,3240,3294">parciales</WORD>
<WORD coords="638,3326,860,3246,3303">debajo</WORD>
<WORD coords="908,3312,1010,3254,3310">del</WORD>
<WORD coords="1054,3336,1366,3264,3319">guarismo</WORD>
<WORD coords="1396,3344,1892,3274,3331">^multiplicador.</WORD>
<WORD coords="1978,3348,2072,3286,3346">La</WORD>
<WORD coords="2130,3354,2316,3312,3352">razón</WORD>
<WORD coords="2348,3356,2410,3320,3356">es</WORD>
</LINE>
<LINE>
<WORD coords="124,3412,356,3350,3391">parque</WORD>
<WORD coords="396,3398,454,3344,3398">el</WORD>
<WORD coords="502,3418,800,3350,3405">producto</WORD>
<WORD coords="830,3430,1054,3360,3416">parcial</WORD>
<WORD coords="1108,3440,1228,3384,3423">que</WORD>
<WORD coords="1272,3434,1588,3374,3429">resultaría</WORD>
<WORD coords="1634,3438,1710,3380,3437">de</WORD>
<WORD coords="1742,3466,2112,3388,3446">multiplicar</WORD>
<WORD coords="2152,3458,2292,3414,3457">cero</WORD>
<WORD coords="2324,3468,2436,3420,3460">por</WORD>
</LINE>
<LINE>
<WORD coords="122,3492,176,3444,3492">el</WORD>
<WORD coords="224,3520,682,3446,3503">multiphcando</WORD>
<WORD coords="742,3516,896,3462,3514">seria</WORD>
<WORD coords="982,3524,1098,3484,3523">una</WORD>
<WORD coords="1170,3530,1326,3472,3527">linea</WORD>
<WORD coords="1374,3534,1450,3476,3533">de</WORD>
<WORD coords="1516,3538,1618,3498,3537">ce-</WORD>
<WORD coords="2148,3560,2186,3508,3560">6</WORD>
<WORD coords="2232,3562,2266,3512,3562">3</WORD>
<WORD coords="2314,3566,2346,3518,3566">8</WORD>
<WORD coords="2390,3570,2434,3518,3570">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="114,3600,214,3554,3598">tos</WORD>
<WORD coords="240,3612,256,3590,3620">,</WORD>
<WORD coords="310,3622,426,3568,3606">que</WORD>
<WORD coords="482,3610,554,3574,3610">en</WORD>
<WORD coords="600,3618,756,3562,3615">nada</WORD>
<WORD coords="808,3646,1076,3564,3622">influyen</WORD>
<WORD coords="1128,3632,1204,3594,3632">en</WORD>
<WORD coords="1280,3636,1336,3580,3634">la</WORD>
<WORD coords="1392,3642,1568,3600,3638">suma</WORD>
<WORD coords="1596,3660,1620,3626,3660">,</WORD>
<WORD coords="2144,3668,2186,3614,3668">4</WORD>
<WORD coords="2390,3672,2426,3622,3670">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="114,3702,224,3664,3701">con</WORD>
<WORD coords="278,3708,362,3654,3707">tal</WORD>
<WORD coords="392,3730,508,3676,3712">que</WORD>
<WORD coords="554,3716,644,3658,3715">los</WORD>
<WORD coords="692,3738,1018,3670,3726">productos</WORD>
<WORD coords="1062,3732,1130,3694,3732">se</WORD>
<WORD coords="1178,3742,1450,3684,3738">escriban</WORD>
<WORD coords="1500,3748,1604,3688,3747">de-</WORD>
<WORD coords="1744,3750,1848,3726,3759">—</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="116,3828,254,3748,3807">bajo</WORD>
<WORD coords="318,3814,394,3758,3813">de</WORD>
<WORD coords="470,3818,528,3762,3817">la</WORD>
<WORD coords="602,3826,752,3766,3822">cifra</WORD>
<WORD coords="810,3856,1318,3776,3837">multiplicador*</WORD>
<WORD coords="1408,3858,1610,3788,3854">Véase</WORD>
<WORD coords="2068,3872,2182,3820,3872">19</WORD>
<WORD coords="2226,3878,2336,3828,3877">15</WORD>
<WORD coords="2378,3880,2418,3832,3880">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="112,3908,170,3854,3917">«1</WORD>
<WORD coords="208,3938,474,3856,3917">ejemplo</WORD>
<WORD coords="522,3950,848,3866,3929">siguiente.</WORD>
<WORD coords="1812,3970,1852,3918,3970">2</WORD>
<WORD coords="1896,3972,1934,3922,3972">5</WORD>
<WORD coords="1978,3976,2016,3924,3975">5</WORD>
<WORD coords="2058,3974,2094,3924,3974">3</WORD>
<WORD coords="2136,3976,2176,3926,3976">6</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1176,4160,1212,4104,4160">7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1804,4188,2404,4128,4182">35555153</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0031.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0032.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0032.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1824,762,1968,666,760">22</WORD>
<WORD coords="2570,812,2620,746,812">4</WORD>
</LINE>
<LINE>
<WORD coords="1140,924,1370,852,917">USOS</WORD>
<WORD coords="1416,908,1538,848,908">DE</WORD>
<WORD coords="1600,902,1722,844,901">LA</WORD>
<WORD coords="1782,902,2628,816,887">MULTIPLICACION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="892,1080,968,1024,1076">53</WORD>
<WORD coords="1024,1074,1260,1012,1069">Primer</WORD>
<WORD coords="1284,1066,1418,1024,1063">uso.</WORD>
<WORD coords="1456,1064,1700,996,1056">Cuando</WORD>
<WORD coords="1736,1050,1800,1014,1050">se</WORD>
<WORD coords="1852,1072,2056,990,1043">quiere</WORD>
<WORD coords="2098,1040,2412,988,1036">aumentar</WORD>
<WORD coords="2442,1034,2474,992,1034">o</WORD>
<WORD coords="2504,1032,2684,976,1028">hacer</WORD>
<WORD coords="2712,1026,2898,968,1023">cierto</WORD>
<WORD coords="2936,1022,3050,978,1021">nu-</WORD>
</LINE>
<LINE>
<WORD coords="730,1192,890,1142,1187">mero</WORD>
<WORD coords="922,1182,990,1124,1181">de</WORD>
<WORD coords="1034,1178,1200,1134,1174">veces</WORD>
<WORD coords="1232,1180,1442,1126,1167">mayor</WORD>
<WORD coords="1472,1162,1508,1126,1162">a</WORD>
<WORD coords="1538,1162,1616,1122,1161">un</WORD>
<WORD coords="1648,1156,1888,1114,1153">numero</WORD>
<WORD coords="1926,1166,1940,1140,1157">,</WORD>
<WORD coords="1964,1148,2042,1112,1148">str</WORD>
<WORD coords="2074,1146,2130,1090,1146">le</WORD>
<WORD coords="2184,1154,2524,1080,1137">multiplica</WORD>
<WORD coords="2556,1152,2664,1094,1132">por</WORD>
<WORD coords="2718,1128,2772,1074,1128">el</WORD>
<WORD coords="2804,1126,3060,1080,1123">numero</WORD>
</LINE>
<LINE>
<WORD coords="734,1306,854,1250,1290">que</WORD>
<WORD coords="904,1284,1018,1244,1283">con</WORD>
<WORD coords="1046,1282,1150,1242,1280">sus</WORD>
<WORD coords="1180,1278,1480,1212,1272">unidades</WORD>
<WORD coords="1524,1282,1768,1222,1261">espresa</WORD>
<WORD coords="1798,1256,1886,1200,1254">las</WORD>
<WORD coords="1920,1252,2100,1212,1250">veces</WORD>
<WORD coords="2154,1266,2270,1208,1245">que</WORD>
<WORD coords="2300,1242,2362,1202,1241">se</WORD>
<WORD coords="2394,1240,2450,1184,1240">le</WORD>
<WORD coords="2484,1256,2692,1180,1236">quiere</WORD>
<WORD coords="2724,1242,3062,1184,1229">aumentar,</WORD>
</LINE>
<LINE>
<WORD coords="736,1398,780,1354,1398">T</WORD>
<WORD coords="828,1410,868,1354,1399">g</WORD>
<WORD coords="930,1390,996,1328,1388">Si</WORD>
<WORD coords="1026,1384,1082,1328,1384">al</WORD>
<WORD coords="1114,1384,1148,1334,1384">5</WORD>
<WORD coords="1178,1400,1394,1320,1377">quiero</WORD>
<WORD coords="1422,1372,1668,1312,1370">hacerle</WORD>
<WORD coords="1710,1364,1752,1312,1363">4</WORD>
<WORD coords="1794,1362,1970,1320,1359">veces</WORD>
<WORD coords="2012,1374,2228,1312,1353">mayor</WORD>
<WORD coords="2256,1352,2316,1292,1351">lo</WORD>
<WORD coords="2360,1362,2756,1284,1340">multiplicare</WORD>
<WORD coords="2776,1356,2882,1290,1332">por</WORD>
<WORD coords="2882,1334,2962,1280,1336">;4</WORD>
<WORD coords="2980,1344,2996,1316,1354">,</WORD>
<WORD coords="3020,1348,3062,1290,1348">y</WORD>
</LINE>
<LINE>
<WORD coords="742,1502,952,1438,1498">Undre</WORD>
<WORD coords="988,1512,1100,1450,1491">que</WORD>
<WORD coords="1124,1490,1202,1436,1486">20</WORD>
<WORD coords="1230,1484,1368,1444,1484">sera</WORD>
<WORD coords="1398,1480,1438,1428,1480">4</WORD>
<WORD coords="1466,1480,1632,1434,1477">veces</WORD>
<WORD coords="1686,1488,1894,1428,1467">mayor</WORD>
<WORD coords="1924,1480,2042,1424,1461">que</WORD>
<WORD coords="2068,1458,2102,1410,1460">5</WORD>
<WORD coords="2134,1456,2170,1402,1459">ó</WORD>
<WORD coords="2204,1474,2322,1416,1457">que</WORD>
<WORD coords="2374,1452,2428,1396,1451">le</WORD>
<WORD coords="2488,1448,2760,1388,1444">contiene</WORD>
<WORD coords="2792,1438,2834,1388,1450">4</WORD>
<WORD coords="2864,1434,3066,1394,1433">veces.</WORD>
</LINE>
<LINE>
<WORD coords="744,1604,826,1544,1603">Se</WORD>
<WORD coords="902,1600,1054,1540,1598">debe</WORD>
<WORD coords="1084,1602,1378,1530,1589">advertir,</WORD>
<WORD coords="1408,1604,1524,1546,1583">que</WORD>
<WORD coords="1580,1582,1782,1532,1577">tomar</WORD>
<WORD coords="1834,1574,1894,1514,1574">*</WORD>
<WORD coords="1934,1588,2232,1504,1566">duplo,*</WORD>
<WORD coords="2302,1582,2590,1496,1557">triplo,*</WORD>
<WORD coords="2638,1560,3070,1478,1542">cuadruplo,*</WORD>
</LINE>
<LINE>
<WORD coords="746,1724,1056,1644,1703">quintuplo</WORD>
<WORD coords="1082,1700,1198,1640,1697">«ce.</WORD>
<WORD coords="1228,1694,1308,1636,1694">de</WORD>
<WORD coords="1354,1692,1434,1650,1691">un</WORD>
<WORD coords="1462,1688,1720,1642,1684">numero</WORD>
<WORD coords="1752,1692,1770,1666,1685">,</WORD>
<WORD coords="1790,1678,1828,1620,1678">ó</WORD>
<WORD coords="1860,1696,1978,1638,1675">que</WORD>
<WORD coords="2036,1688,2310,1610,1665">duplicar</WORD>
<WORD coords="2338,1678,2356,1648,1678">,</WORD>
<WORD coords="2382,1678,2662,1600,1655">triplicar</WORD>
<WORD coords="2688,1664,2704,1636,1667">,</WORD>
<WORD coords="2734,1662,3076,1582,1642">cuadrupla</WORD>
</LINE>
<LINE>
<WORD coords="754,1812,864,1770,1810">car</WORD>
<WORD coords="898,1822,914,1794,1822">,</WORD>
<WORD coords="956,1828,1368,1742,1800">quintuplicar</WORD>
<WORD coords="1396,1812,1414,1782,1809">,</WORD>
<WORD coords="1434,1806,1804,1728,1787">sestuphcar</WORD>
<WORD coords="1836,1796,1854,1768,1796">,</WORD>
<WORD coords="1880,1796,2250,1716,1773">centuplicar</WORD>
<WORD coords="2282,1768,2362,1728,1767">un</WORD>
<WORD coords="2408,1764,2664,1720,1759">numero</WORD>
<WORD coords="2700,1774,2718,1740,1771">,</WORD>
<WORD coords="2746,1752,2810,1714,1752">es</WORD>
<WORD coords="2838,1750,2900,1694,1749">lo</WORD>
<WORD coords="2934,1746,3076,1704,1744">mis-</WORD>
</LINE>
<LINE>
<WORD coords="754,1916,860,1874,1915">no</WORD>
<WORD coords="916,1928,1034,1870,1909">que</WORD>
<WORD coords="1088,1920,1522,1834,1900">multiplicarlo</WORD>
<WORD coords="1580,1910,1690,1852,1889">por</WORD>
<WORD coords="1746,1888,1784,1836,1888">2</WORD>
<WORD coords="1816,1898,1832,1870,1891">,</WORD>
<WORD coords="1888,1882,1922,1832,1883">3</WORD>
<WORD coords="1954,1896,1974,1868,1890">,</WORD>
<WORD coords="2022,1878,2064,1830,1881">4</WORD>
<WORD coords="2094,1890,2110,1864,1887">,</WORD>
<WORD coords="2168,1874,2204,1824,1879">5</WORD>
<WORD coords="2232,1890,2250,1862,1887">,</WORD>
<WORD coords="2306,1874,2344,1818,1879">6</WORD>
<WORD coords="2374,1886,2394,1854,1885">,</WORD>
<WORD coords="2454,1868,2588,1816,1866">100.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="922,2014,1022,1958,2012">54.</WORD>
<WORD coords="1108,2010,1230,1952,2004">2.©</WORD>
<WORD coords="1300,2004,1542,1942,2001">Cuando</WORD>
<WORD coords="1590,1996,1864,1934,1992">conocido</WORD>
<WORD coords="1920,1986,1976,1930,1985">el</WORD>
<WORD coords="2016,1984,2186,1928,1982">valer</WORD>
<WORD coords="2218,1978,2294,1922,1978">de</WORD>
<WORD coords="2342,1976,2462,1932,1974">una</WORD>
<WORD coords="2506,1980,2772,1908,1967">unidad,</WORD>
<WORD coords="2816,1960,2888,1922,1960">se</WORD>
<WORD coords="2922,1980,3084,1918,1956">quie-</WORD>
</LINE>
<LINE>
<WORD coords="760,2124,830,2082,2124">te</WORD>
<WORD coords="908,2136,1244,2058,2116">averiguar</WORD>
<WORD coords="1288,2108,1346,2050,2108">el</WORD>
<WORD coords="1420,2104,1592,2044,2102">valor</WORD>
<WORD coords="1662,2096,1734,2038,2096">de</WORD>
<WORD coords="1808,2092,2048,2034,2089">muchas</WORD>
<WORD coords="2078,2092,2098,2068,2087">,</WORD>
<WORD coords="2164,2084,2228,2046,2084">se</WORD>
<WORD coords="2288,2092,2626,2018,2074">multiplica</WORD>
<WORD coords="2684,2072,2738,2014,2070">el</WORD>
<WORD coords="2794,2066,2962,2008,2063">valor</WORD>
<WORD coords="3012,2060,3088,2004,2060">de</WORD>
</LINE>
<LINE>
<WORD coords="758,2230,820,2170,2229">la</WORD>
<WORD coords="862,2226,1094,2162,2221">unidad</WORD>
<WORD coords="1150,2234,1266,2172,2215">por</WORD>
<WORD coords="1322,2212,1380,2152,2211">el</WORD>
<WORD coords="1452,2206,1708,2162,2202">numero</WORD>
<WORD coords="1764,2196,1840,2140,2196">de</WORD>
<WORD coords="1900,2200,2098,2136,2190">ellas;</WORD>
<WORD coords="2158,2186,2218,2150,2186">v.</WORD>
<WORD coords="2264,2204,2320,2148,2196">g.</WORD>
<WORD coords="2410,2202,2434,2144,2197">}</WORD>
<WORD coords="2466,2180,2704,2120,2175">Cuanto</WORD>
<WORD coords="2780,2170,2954,2112,2167">valen</WORD>
<WORD coords="3014,2162,3092,2110,2162">25</WORD>
</LINE>
<LINE>
<WORD coords="762,2330,944,2288,2329">varas</WORD>
<WORD coords="1010,2324,1088,2264,2324">de</WORD>
<WORD coords="1156,2338,1316,2262,2318">paño</WORD>
<WORD coords="1394,2314,1428,2254,2313">á</WORD>
<WORD coords="1470,2312,1506,2260,2312">2</WORD>
<WORD coords="1556,2324,1734,2262,2306">pesos</WORD>
<WORD coords="1792,2302,1982,2242,2300">vara?</WORD>
<WORD coords="2076,2306,2506,2226,2287">Multiplicaré</WORD>
<WORD coords="2572,2278,2628,2222,2278">el</WORD>
<WORD coords="2698,2278,2954,2232,2273">numero</WORD>
<WORD coords="3018,2270,3096,2210,2269">de</WORD>
</LINE>
<LINE>
<WORD coords="766,2438,946,2394,2435">varas</WORD>
<WORD coords="1000,2432,1078,2378,2432">25</WORD>
<WORD coords="1128,2448,1238,2382,2428">por</WORD>
<WORD coords="1318,2426,1378,2360,2424">el</WORD>
<WORD coords="1466,2418,1638,2356,2414">valor</WORD>
<WORD coords="1712,2412,1788,2350,2412">de</WORD>
<WORD coords="1862,2410,1986,2364,2407">una</WORD>
<WORD coords="2040,2424,2158,2360,2402">que</WORD>
<WORD coords="2214,2398,2282,2358,2396">es</WORD>
<WORD coords="2340,2392,2380,2342,2398">2</WORD>
<WORD coords="2414,2408,2432,2376,2408">,</WORD>
<WORD coords="2474,2412,2510,2350,2408">y</WORD>
<WORD coords="2568,2392,2628,2328,2390">el</WORD>
<WORD coords="2670,2402,2966,2320,2378">producto</WORD>
<WORD coords="3020,2374,3102,2318,2373">50</WORD>
</LINE>
<LINE>
<WORD coords="768,2560,950,2500,2541">pesos</WORD>
<WORD coords="1006,2540,1138,2476,2536">será</WORD>
<WORD coords="1194,2532,1252,2472,2531">el</WORD>
<WORD coords="1304,2530,1476,2468,2527">valor</WORD>
<WORD coords="1536,2522,1612,2460,2521">de</WORD>
<WORD coords="1658,2518,1868,2456,2515">todas.</WORD>
<WORD coords="1996,2476,2004,2460,2476">&apos;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="940,2644,1042,2590,2642">55.</WORD>
<WORD coords="1132,2640,1298,2580,2636">Para</WORD>
<WORD coords="1354,2632,1596,2568,2628">reducir</WORD>
<WORD coords="1646,2624,1938,2560,2619">unidades</WORD>
<WORD coords="1986,2612,2058,2556,2612">de</WORD>
<WORD coords="2106,2628,2332,2548,2605">especie</WORD>
<WORD coords="2384,2620,2666,2540,2598">superior</WORD>
<WORD coords="2726,2590,2762,2554,2590">a</WORD>
<WORD coords="2812,2588,3104,2532,2584">unidades</WORD>
</LINE>
<LINE>
<WORD coords="778,2758,858,2694,2758">&amp;</WORD>
<WORD coords="900,2766,1124,2688,2745">especie</WORD>
<WORD coords="1176,2762,1438,2676,2740">inferior</WORD>
<WORD coords="1472,2746,1490,2716,2739">,</WORD>
<WORD coords="1552,2732,1618,2690,2731">se</WORD>
<WORD coords="1672,2740,2016,2664,2721">multiplica</WORD>
<WORD coords="2074,2716,2128,2658,2714">el</WORD>
<WORD coords="2184,2710,2438,2668,2706">numero</WORD>
<WORD coords="2498,2702,2574,2648,2702">de</WORD>
<WORD coords="2650,2700,2948,2638,2694">unidades</WORD>
<WORD coords="3004,2686,3102,2648,2686">su-</WORD>
</LINE>
<LINE>
<WORD coords="784,2868,1058,2796,2851">periores</WORD>
<WORD coords="1120,2864,1230,2804,2842">por</WORD>
<WORD coords="1284,2844,1342,2784,2842">el</WORD>
<WORD coords="1392,2842,1650,2796,2837">numero</WORD>
<WORD coords="1704,2834,1786,2774,2833">de</WORD>
<WORD coords="1828,2828,2132,2764,2822">unidades</WORD>
<WORD coords="2178,2816,2502,2756,2811">inferiores</WORD>
<WORD coords="2548,2806,2624,2748,2805">de</WORD>
<WORD coords="2682,2820,2800,2764,2801">que</WORD>
<WORD coords="2844,2798,2908,2760,2797">se</WORD>
<WORD coords="2940,2794,3106,2754,2793">com-</WORD>
</LINE>
<LINE>
<WORD coords="788,2976,948,2918,2957">pone</WORD>
<WORD coords="1000,2956,1122,2914,2953">una</WORD>
<WORD coords="1172,2950,1406,2884,2946">unidad</WORD>
<WORD coords="1456,2958,1754,2880,2938">superior.</WORD>
<WORD coords="1844,2950,2114,2866,2925">Ejemplo</WORD>
<WORD coords="2148,2924,2168,2886,2924">;</WORD>
<WORD coords="2200,2932,2444,2858,2913">Quiero</WORD>
<WORD coords="2482,2912,2726,2852,2908">reducir</WORD>
<WORD coords="2784,2902,2818,2854,2913">8</WORD>
<WORD coords="2874,2900,3044,2858,2897">varas</WORD>
<WORD coords="3074,2896,3106,2856,2896">a</WORD>
</LINE>
<LINE>
<WORD coords="792,3064,1080,3012,3060">cuartas:</WORD>
<WORD coords="1110,3056,1256,3014,3054">veré</WORD>
<WORD coords="1306,3052,1384,2992,3051">de</WORD>
<WORD coords="1420,3046,1664,2994,3043">cuantas</WORD>
<WORD coords="1702,3038,1940,2988,3034">cuartas</WORD>
<WORD coords="1990,3048,2108,2990,3028">que</WORD>
<WORD coords="2162,3028,2272,2988,3025">son</WORD>
<WORD coords="2318,3022,2620,2958,3015">unidades</WORD>
<WORD coords="2670,3014,3014,2950,3004">inferiores,</WORD>
<WORD coords="3042,2998,3106,2958,2997">se</WORD>
</LINE>
<LINE>
<WORD coords="800,3182,1098,3120,3163">compone</WORD>
<WORD coords="1154,3162,1278,3116,3158">una</WORD>
<WORD coords="1328,3152,1478,3110,3151">vara</WORD>
<WORD coords="1534,3164,1654,3106,3145">que</WORD>
<WORD coords="1710,3140,1778,3102,3140">es</WORD>
<WORD coords="1828,3138,1886,3082,3138">la</WORD>
<WORD coords="1942,3136,2176,3074,3133">unidad</WORD>
<WORD coords="2220,3142,2498,3068,3124">superior</WORD>
<WORD coords="2530,3132,2544,3088,3132">;</WORD>
<WORD coords="2592,3138,2632,3082,3135">y</WORD>
<WORD coords="2688,3114,2864,3072,3111">como</WORD>
<WORD coords="2904,3108,2960,3052,3106">la</WORD>
<WORD coords="3010,3102,3114,3064,3102">va-</WORD>
</LINE>
<LINE>
<WORD coords="802,3270,872,3228,3270">ra</WORD>
<WORD coords="926,3266,990,3228,3266">se</WORD>
<WORD coords="1044,3278,1340,3218,3260">compone</WORD>
<WORD coords="1398,3256,1480,3196,3255">de</WORD>
<WORD coords="1536,3254,1746,3202,3249">cuatro</WORD>
<WORD coords="1796,3250,2092,3196,3240">cuartas,</WORD>
<WORD coords="2144,3244,2556,3172,3228">multiplicare</WORD>
<WORD coords="2608,3224,2646,3174,3230">8</WORD>
<WORD coords="2698,3238,2808,3176,3215">por</WORD>
<WORD coords="2862,3212,2904,3160,3224">4</WORD>
<WORD coords="2932,3228,2948,3198,3232">,</WORD>
<WORD coords="2988,3226,3026,3170,3231">y</WORD>
<WORD coords="3060,3206,3118,3156,3205">el</WORD>
</LINE>
<LINE>
<WORD coords="804,3376,1064,3330,3370">■umero</WORD>
<WORD coords="1124,3368,1200,3314,3365">32</WORD>
<WORD coords="1256,3362,1366,3322,3361">son</WORD>
<WORD coords="1422,3358,1514,3300,3357">las</WORD>
<WORD coords="1568,3354,1806,3304,3351">cuartas</WORD>
<WORD coords="1866,3366,1984,3306,3345">que</WORD>
<WORD coords="2040,3362,2160,3286,3341">hay</WORD>
<WORD coords="2214,3336,2284,3300,3336">en</WORD>
<WORD coords="2336,3334,2372,3286,3341">8</WORD>
<WORD coords="2432,3332,2632,3290,3329">varas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="974,3474,1032,3422,3466">2.</WORD>
<WORD coords="1054,3452,1094,3414,3452">o</WORD>
<WORD coords="1200,3484,1474,3402,3462">Ejemplo</WORD>
<WORD coords="1504,3460,1520,3422,3460">:</WORD>
<WORD coords="1572,3482,1596,3422,3469">¿</WORD>
<WORD coords="1628,3456,1892,3398,3452">Cuantas</WORD>
<WORD coords="1944,3446,2128,3408,3444">onzas</WORD>
<WORD coords="2184,3452,2306,3384,3439">hay</WORD>
<WORD coords="2354,3436,2426,3400,3436">en</WORD>
<WORD coords="2476,3436,2520,3384,3438">4</WORD>
<WORD coords="2560,3448,2860,3368,3424">quintales</WORD>
<WORD coords="2890,3420,2916,3364,3430">?</WORD>
<WORD coords="2952,3434,3124,3370,3420">Aqu»</WORD>
</LINE>
<LINE>
<WORD coords="822,3582,1078,3516,3577">debería</WORD>
<WORD coords="1120,3586,1492,3510,3568">multiplicar</WORD>
<WORD coords="1536,3562,1592,3506,3562">el</WORD>
<WORD coords="1640,3560,1896,3516,3556">numero</WORD>
<WORD coords="1950,3550,2026,3494,3550">de</WORD>
<WORD coords="2084,3548,2384,3488,3542">unidades</WORD>
<WORD coords="2434,3556,2776,3478,3532">superiores</WORD>
<WORD coords="2810,3546,2926,3488,3525">que</WORD>
<WORD coords="2968,3522,3030,3486,3520">es</WORD>
<WORD coords="3060,3528,3132,3470,3524">4;</WORD>
</LINE>
<LINE>
<WORD coords="818,3704,930,3642,3680">por</WORD>
<WORD coords="984,3678,1044,3622,3678">el</WORD>
<WORD coords="1100,3678,1356,3634,3674">numero</WORD>
<WORD coords="1402,3672,1482,3612,3671">de</WORD>
<WORD coords="1526,3668,1712,3626,3664">onzas</WORD>
<WORD coords="1750,3660,1828,3602,3660">de</WORD>
<WORD coords="1858,3676,1978,3618,3657">que</WORD>
<WORD coords="2026,3652,2088,3614,3651">se</WORD>
<WORD coords="2134,3664,2428,3606,3644">compone</WORD>
<WORD coords="2470,3640,2550,3602,3639">un</WORD>
<WORD coords="2608,3654,2836,3574,3631">qu.ntal</WORD>
<WORD coords="2876,3644,2894,3616,3647">,</WORD>
<WORD coords="2920,3644,3034,3588,3624">que</WORD>
<WORD coords="3064,3624,3134,3578,3623">eS</WORD>
</LINE>
<LINE>
<WORD coords="828,3792,988,3732,3787">1600</WORD>
<WORD coords="1022,3794,1040,3748,3794">;</WORD>
<WORD coords="1092,3798,1238,3740,3779">pero</WORD>
<WORD coords="1282,3778,1466,3736,3776">como</WORD>
<WORD coords="1514,3772,1594,3732,3770">no</WORD>
<WORD coords="1648,3768,1712,3730,3767">es</WORD>
<WORD coords="1766,3764,1914,3706,3762">fácil</WORD>
<WORD coords="1970,3758,2294,3712,3753">conservar</WORD>
<WORD coords="2350,3746,2428,3710,3745">en</WORD>
<WORD coords="2470,3746,2528,3690,3745">la</WORD>
<WORD coords="2570,3742,2860,3694,3736">memoria</WORD>
<WORD coords="2906,3730,2962,3674,3729">el</WORD>
<WORD coords="3014,3728,3128,3690,3727">nu-</WORD>
</LINE>
<LINE>
<WORD coords="832,3896,1006,3848,3889">jnero</WORD>
<WORD coords="1064,3884,1142,3826,3884">de</WORD>
<WORD coords="1192,3882,1498,3820,3879">unidades</WORD>
<WORD coords="1548,3874,1872,3812,3870">inferiores</WORD>
<WORD coords="1922,3864,2002,3806,3863">de</WORD>
<WORD coords="2058,3874,2174,3820,3857">que</WORD>
<WORD coords="2224,3852,2286,3816,3852">se</WORD>
<WORD coords="2338,3864,2634,3808,3846">compone</WORD>
<WORD coords="2688,3842,2742,3788,3842">la</WORD>
<WORD coords="2772,3840,3004,3774,3834">un.dad</WORD>
<WORD coords="3032,3832,3140,3794,3831">su-</WORD>
</LINE>
<LINE>
<WORD coords="830,4014,1038,3934,3990">perior</WORD>
<WORD coords="1074,4008,1358,3926,3984">.cuando</WORD>
<WORD coords="1416,3998,1538,3924,3979">hay</WORD>
<WORD coords="1584,3978,1764,3930,3973">otras</WORD>
<WORD coords="1826,3988,1940,3930,3969">que</WORD>
<WORD coords="1970,3964,2360,3900,3958">intermedian</WORD>
<WORD coords="2390,3964,2406,3918,3962">;</WORD>
<WORD coords="2434,3952,2502,3914,3951">es</WORD>
<WORD coords="2550,3966,2744,3890,3945">mejor</WORD>
<WORD coords="2794,3960,2832,3904,3960">y</WORD>
<WORD coords="2876,3938,3140,3898,3936">masco-</WORD>
</LINE>
<LINE>
<WORD coords="836,4100,1024,4036,4096">modo</WORD>
<WORD coords="1080,4090,1326,4032,4087">reducir</WORD>
<WORD coords="1376,4084,1466,4026,4082">las</WORD>
<WORD coords="1524,4080,1822,4018,4076">unidades</WORD>
<WORD coords="1876,4086,2222,4010,4066">superiores</WORD>
<WORD coords="2268,4058,2298,4006,4061">á</WORD>
<WORD coords="2356,4058,2442,4002,4056">las</WORD>
<WORD coords="2486,4054,3020,3994,4046">inmediatamente</WORD>
<WORD coords="3050,4050,3140,3996,4050">W</WORD>
</LINE>
<LINE>
<WORD coords="834,4214,1142,4138,4206">frrioreM</WORD>
<WORD coords="1178,4212,1362,4136,4193">l*ego</WORD>
<WORD coords="1412,4190,1574,4138,4186">estas</WORD>
<WORD coords="1638,4184,1672,4126,4183">á</WORD>
<WORD coords="1722,4182,1814,4122,4180">las</WORD>
<WORD coords="1866,4180,2166,4112,4174">unidades</WORD>
<WORD coords="2224,4168,2544,4104,4163">inferiores</WORD>
<WORD coords="2598,4176,2720,4112,4155">que</WORD>
<WORD coords="2788,4150,2880,4092,4150">las</WORD>
<WORD coords="2920,4166,3142,4100,4143">siguen</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0032.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0033.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0033.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1192,688,1340,594,686">23</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="110,837,152,774,825">y</WORD>
<WORD coords="182,813,265,755,812">así</WORD>
<WORD coords="322,810,395,770,809">en</WORD>
<WORD coords="447,813,746,749,807">adelante.</WORD>
<WORD coords="837,806,930,746,805">En</WORD>
<WORD coords="989,804,1041,746,802">el</WORD>
<WORD coords="1074,827,1334,747,801">ejemplo</WORD>
<WORD coords="1371,818,1507,763,800">pro-</WORD>
</LINE>
<LINE>
<WORD coords="113,938,332,870,915">puesto</WORD>
<WORD coords="382,913,659,855,911">reduciré</WORD>
<WORD coords="700,910,790,855,909">los</WORD>
<WORD coords="822,928,1118,853,908">quintales</WORD>
<WORD coords="1169,905,1195,857,906">á</WORD>
<WORD coords="1230,921,1500,849,903">arrobas,</WORD>
</LINE>
<LINE>
<WORD coords="114,1019,202,964,1018">las</WORD>
<WORD coords="264,1016,508,959,1015">arrobas</WORD>
<WORD coords="541,1014,568,963,1014">á</WORD>
<WORD coords="601,1014,782,958,1013">libras</WORD>
<WORD coords="821,1026,836,1001,1026">,</WORD>
<WORD coords="880,1034,922,976,1023">y</WORD>
<WORD coords="972,1010,1054,959,1010">las</WORD>
<WORD coords="1096,1012,1277,956,1010">libras</WORD>
<WORD coords="1323,1009,1353,955,1010">á</WORD>
<WORD coords="1404,1007,1479,972,1006">on</WORD>
<WORD coords="1499,997,1510,984,997">-</WORD>
</LINE>
<LINE>
<WORD coords="108,1125,217,1083,1122">zas</WORD>
<WORD coords="249,1122,264,1085,1121">:</WORD>
<WORD coords="311,1120,366,1064,1119">el</WORD>
<WORD coords="396,1120,651,1081,1119">numero</WORD>
<WORD coords="754,1118,915,1065,1117">6400</WORD>
<WORD coords="967,1116,1140,1077,1115">serán</WORD>
<WORD coords="1185,1115,1271,1060,1114">las</WORD>
<WORD coords="1328,1114,1509,1070,1113">Onzas</WORD>
</LINE>
<LINE>
<WORD coords="140,1236,226,1188,1228">iue</WORD>
<WORD coords="283,1224,345,1188,1223">se</WORD>
<WORD coords="384,1225,630,1168,1223">buscan.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="277,1326,426,1269,1325">Para</WORD>
<WORD coords="479,1328,770,1271,1326">entender</WORD>
<WORD coords="805,1328,859,1271,1327">el</WORD>
<WORD coords="887,1351,1150,1271,1325">ejemplo</WORD>
<WORD coords="1184,1343,1201,1314,1335">,</WORD>
<WORD coords="1225,1328,1494,1268,1326">diremos</WORD>
</LINE>
<LINE>
<WORD coords="109,1451,226,1395,1434">que</WORD>
<WORD coords="273,1433,355,1396,1432">un</WORD>
<WORD coords="411,1450,640,1377,1432">quintal</WORD>
<WORD coords="706,1435,862,1378,1433">tiene</WORD>
<WORD coords="921,1434,961,1384,1433">4</WORD>
<WORD coords="1019,1433,1261,1377,1431">arrobas</WORD>
<WORD coords="1297,1444,1313,1400,1438">;</WORD>
<WORD coords="1373,1432,1490,1394,1431">una</WORD>
</LINE>
<LINE>
<WORD coords="110,1537,323,1481,1535">arroba</WORD>
<WORD coords="372,1537,448,1488,1536">25</WORD>
<WORD coords="501,1536,682,1480,1535">libras</WORD>
<WORD coords="718,1549,733,1504,1543">;</WORD>
<WORD coords="780,1537,896,1501,1536">una</WORD>
<WORD coords="948,1538,1098,1481,1536">libra</WORD>
<WORD coords="1148,1538,1219,1483,1537">16</WORD>
<WORD coords="1277,1539,1486,1500,1536">onzas:</WORD>
</LINE>
<LINE>
<WORD coords="111,1640,227,1602,1638">una</WORD>
<WORD coords="286,1640,444,1603,1639">onza</WORD>
<WORD coords="493,1640,565,1588,1639">16</WORD>
<WORD coords="624,1640,902,1583,1639">adarmes</WORD>
<WORD coords="938,1648,954,1608,1647">;</WORD>
<WORD coords="1027,1647,1105,1605,1644">un</WORD>
<WORD coords="1164,1642,1409,1585,1641">adarme</WORD>
<WORD coords="1461,1640,1494,1591,1640">3</WORD>
</LINE>
<LINE>
<WORD coords="108,1759,416,1686,1743">tomines;</WORD>
<WORD coords="476,1744,555,1708,1743">un</WORD>
<WORD coords="603,1744,796,1689,1743">tomin</WORD>
<WORD coords="850,1745,919,1697,1744">12</WORD>
<WORD coords="965,1766,1203,1709,1744">granos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="272,1849,392,1792,1842">&amp;°</WORD>
<WORD coords="489,1869,757,1788,1846">Ejemplo</WORD>
<WORD coords="803,1868,966,1803,1848">para</WORD>
<WORD coords="1027,1869,1341,1794,1849">practicar</WORD>
<WORD coords="1387,1873,1506,1805,1852">por</WORD>
</LINE>
<LINE>
<WORD coords="112,1951,167,1894,1946">&amp;</WORD>
<WORD coords="180,1950,220,1915,1952">■:</WORD>
<WORD coords="275,1951,512,1895,1950">Cuanto</WORD>
<WORD coords="583,1953,715,1897,1952">vale</WORD>
<WORD coords="774,1953,889,1915,1951">una</WORD>
<WORD coords="948,1955,1160,1898,1952">arroba</WORD>
<WORD coords="1216,1956,1291,1901,1955">de</WORD>
<WORD coords="1353,1975,1513,1902,1957">plata</WORD>
</LINE>
<LINE>
<WORD coords="114,2053,153,2016,2053">a</WORD>
<WORD coords="198,2054,403,1998,2053">medio</WORD>
<WORD coords="460,2057,585,2000,2055">real</WORD>
<WORD coords="638,2056,691,1999,2055">el</WORD>
<WORD coords="740,2057,986,1999,2056">adarme</WORD>
<WORD coords="1019,2056,1040,2000,2056">?</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2000,798,2038,746,798">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1991,902,2045,852,901">4.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1924,1114,1948,1065,1113">1</WORD>
<WORD coords="2000,1111,2051,1061,1110">6.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1922,1219,1957,1171,1218">2</WORD>
<WORD coords="2004,1216,2056,1170,1214">5.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2195,812,2409,742,800">Qjínt.</WORD>
</LINE>
<LINE>
<WORD coords="2183,908,2411,833,905">Arrobi</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2185,1218,2314,1162,1215">Lib.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1904,1432,1937,1382,1431">8</WORD>
<WORD coords="1980,1428,2022,1381,1428">O</WORD>
</LINE>
<LINE>
<WORD coords="1824,1536,1856,1486,1536">3</WORD>
<WORD coords="1904,1536,1938,1489,1536">2</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1833,1749,1872,1696,1749">4</WORD>
<WORD coords="1994,1748,2053,1699,1747">0.</WORD>
</LINE>
<LINE>
<WORD coords="1752,1853,1947,1801,1852">16..</WORD>
<WORD coords="1997,1854,2048,1838,1854">..</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2167,1748,2307,1690,1746">Lib.</WORD>
</LINE>
<LINE>
<WORD coords="2165,1857,2330,1799,1855">Onz.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1751,2064,1788,2012,2064">6</WORD>
<WORD coords="1832,2064,1871,2014,2064">4</WORD>
<WORD coords="1992,2066,2117,2015,2064">0..</WORD>
<WORD coords="2166,2067,2331,2009,2064">Onz.</WORD>
</LINE>
<LINE>
<WORD coords="289,2221,831,2159,2217">OPERACION</WORD>
<WORD coords="881,2219,998,2162,2218">DE</WORD>
<WORD coords="1047,2228,1408,2162,2224">RESTAR</WORD>
<WORD coords="1457,2227,1513,2169,2227">O</WORD>
<WORD coords="1557,2229,2221,2163,2227">SUSTRACCION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="271,2379,367,2325,2380">56.</WORD>
<WORD coords="452,2379,680,2319,2377">Restar</WORD>
<WORD coords="710,2397,728,2367,2392">,</WORD>
<WORD coords="775,2387,1091,2328,2381">sustraher</WORD>
<WORD coords="1139,2384,1170,2346,2384">o</WORD>
<WORD coords="1225,2407,1466,2329,2385">rebajar</WORD>
<WORD coords="1523,2386,1583,2349,2385">es</WORD>
<WORD coords="1655,2410,1860,2332,2386">quitar</WORD>
<WORD coords="1915,2390,1994,2352,2389">un</WORD>
<WORD coords="2047,2390,2288,2351,2388">numero</WORD>
<WORD coords="2342,2386,2415,2331,2385">de</WORD>
</LINE>
<LINE>
<WORD coords="112,2484,239,2429,2482">ttro</WORD>
<WORD coords="282,2502,637,2426,2481">homogéneo</WORD>
<WORD coords="665,2498,682,2470,2498">,</WORD>
<WORD coords="731,2502,891,2437,2483">para</WORD>
<WORD coords="945,2507,1277,2433,2485">averiguar</WORD>
<WORD coords="1331,2489,1402,2453,2489">su</WORD>
<WORD coords="1448,2512,1797,2424,2492">diferencia.</WORD>
<WORD coords="1893,2491,1963,2438,2491">El</WORD>
<WORD coords="2028,2497,2283,2457,2493">numero</WORD>
<WORD coords="2332,2490,2410,2436,2489">de</WORD>
</LINE>
<LINE>
<WORD coords="110,2601,290,2529,2582">quien</WORD>
<WORD coords="344,2584,408,2547,2583">se</WORD>
<WORD coords="458,2603,624,2531,2584">quita</WORD>
<WORD coords="680,2587,716,2532,2589">ó</WORD>
<WORD coords="762,2609,962,2532,2586">rebaja</WORD>
<WORD coords="997,2601,1012,2577,2596">,</WORD>
<WORD coords="1058,2590,1120,2554,2588">se</WORD>
<WORD coords="1164,2592,1342,2536,2590">llama</WORD>
<WORD coords="1384,2596,1706,2537,2594">Minuendo</WORD>
<WORD coords="1742,2597,1754,2563,2596">:</WORD>
<WORD coords="1794,2596,1855,2562,2595">se</WORD>
<WORD coords="1889,2597,2022,2543,2596">dice</WORD>
<WORD coords="2054,2598,2408,2532,2596">susirahen?</WORD>
</LINE>
<LINE>
<WORD coords="106,2689,178,2632,2687">do</WORD>
<WORD coords="230,2688,284,2633,2687">el</WORD>
<WORD coords="339,2688,592,2651,2687">numero</WORD>
<WORD coords="655,2709,770,2655,2690">que</WORD>
<WORD coords="843,2691,906,2656,2691">se</WORD>
<WORD coords="954,2707,1165,2639,2693">quita:</WORD>
<WORD coords="1213,2696,1265,2642,2695">el</WORD>
<WORD coords="1315,2700,1570,2661,2697">numero</WORD>
<WORD coords="1628,2718,1743,2664,2701">que</WORD>
<WORD coords="1798,2702,2024,2648,2700">resulta</WORD>
<WORD coords="2098,2702,2160,2667,2701">se</WORD>
<WORD coords="2231,2701,2413,2647,2699">llama</WORD>
</LINE>
<LINE>
<WORD coords="109,2791,297,2733,2790">Resta</WORD>
<WORD coords="325,2800,342,2778,2800">%</WORD>
<WORD coords="426,2795,643,2737,2792">Ecceso</WORD>
<WORD coords="697,2794,727,2756,2794">o</WORD>
<WORD coords="781,2820,1153,2738,2797">Diferencia.</WORD>
<WORD coords="1246,2800,1336,2741,2799">La</WORD>
<WORD coords="1390,2820,1711,2747,2801">operación</WORD>
<WORD coords="1785,2822,1893,2769,2804">por</WORD>
<WORD coords="1947,2805,2148,2750,2804">medio</WORD>
<WORD coords="2220,2806,2294,2753,2806">de</WORD>
<WORD coords="2355,2810,2412,2753,2808">la</WORD>
</LINE>
<LINE>
<WORD coords="110,2894,245,2838,2893">cual</WORD>
<WORD coords="303,2896,368,2859,2895">se</WORD>
<WORD coords="420,2918,655,2841,2897">ejecuta</WORD>
<WORD coords="710,2901,838,2854,2897">esto</WORD>
<WORD coords="870,2907,888,2887,2906">,</WORD>
<WORD coords="933,2903,994,2866,2902">se</WORD>
<WORD coords="1041,2904,1214,2848,2901">llama</WORD>
<WORD coords="1265,2910,1668,2850,2906">Sustracción.</WORD>
<WORD coords="1761,2910,1854,2856,2909">En</WORD>
<WORD coords="1905,2911,2029,2869,2910">esta</WORD>
<WORD coords="2088,2929,2411,2857,2911">operación</WORD>
</LINE>
<LINE>
<WORD coords="108,3001,390,2939,2997">indicada</WORD>
<WORD coords="445,3002,480,2952,3006">5</WORD>
<WORD coords="511,2990,589,2977,3000">—</WORD>
<WORD coords="617,3000,647,2952,3005">3</WORD>
<WORD coords="675,2990,778,2976,3000">—</WORD>
<WORD coords="815,3006,845,2958,3008">2</WORD>
<WORD coords="879,3021,895,2995,3015">,</WORD>
<WORD coords="948,3008,1002,2953,3007">el</WORD>
<WORD coords="1048,3010,1083,2960,3010">5</WORD>
<WORD coords="1131,3009,1193,2974,3008">es</WORD>
<WORD coords="1246,3012,1299,2956,3010">el</WORD>
<WORD coords="1346,3015,1677,2957,3012">minuendo</WORD>
<WORD coords="1702,3031,1721,3002,3023">,</WORD>
<WORD coords="1768,3016,1824,2962,3015">el</WORD>
<WORD coords="1879,3015,1912,2967,3014">3</WORD>
<WORD coords="1958,3014,2011,2962,3013">el</WORD>
<WORD coords="2058,3017,2409,2959,3016">sustrahen-</WORD>
</LINE>
<LINE>
<WORD coords="107,3100,188,3044,3100">do</WORD>
<WORD coords="235,3122,273,3065,3116">y</WORD>
<WORD coords="332,3102,390,3048,3102">el</WORD>
<WORD coords="440,3105,474,3056,3108">2</WORD>
<WORD coords="521,3105,576,3050,3104">el</WORD>
<WORD coords="635,3123,883,3072,3108">ecceso,</WORD>
<WORD coords="930,3114,1089,3067,3112">resta</WORD>
<WORD coords="1139,3115,1175,3058,3115">ó</WORD>
<WORD coords="1231,3119,1585,3059,3116">diferencia.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="266,3206,364,3154,3208">57.</WORD>
<WORD coords="455,3210,651,3152,3209">Como</WORD>
<WORD coords="699,3213,754,3156,3211">el</WORD>
<WORD coords="800,3217,1128,3159,3215">minuendo</WORD>
<WORD coords="1182,3220,1247,3183,3219">es</WORD>
<WORD coords="1299,3222,1376,3185,3220">un</WORD>
<WORD coords="1434,3221,1580,3165,3220">todo</WORD>
<WORD coords="1637,3222,1713,3166,3221">de</WORD>
<WORD coords="1771,3241,1961,3166,3223">quien</WORD>
<WORD coords="2007,3224,2069,3188,3224">se</WORD>
<WORD coords="2125,3223,2178,3168,3223">le</WORD>
<WORD coords="2240,3241,2409,3167,3223">quita</WORD>
</LINE>
<LINE>
<WORD coords="107,3307,223,3269,3306">una</WORD>
<WORD coords="276,3324,439,3264,3308">parte</WORD>
<WORD coords="469,3325,486,3298,3322">,</WORD>
<WORD coords="543,3314,677,3259,3313">cual</WORD>
<WORD coords="718,3315,779,3280,3315">es</WORD>
<WORD coords="829,3318,881,3262,3317">el</WORD>
<WORD coords="924,3324,1322,3266,3321">sustrahendo</WORD>
<WORD coords="1363,3338,1378,3293,3331">;</WORD>
<WORD coords="1428,3325,1491,3290,3324">se</WORD>
<WORD coords="1549,3326,1782,3271,3325">deduce</WORD>
<WORD coords="1848,3328,1897,3282,3325">1.</WORD>
<WORD coords="1924,3310,1958,3275,3315">°</WORD>
<WORD coords="2039,3345,2153,3293,3327">que</WORD>
<WORD coords="2209,3328,2262,3274,3327">el</WORD>
<WORD coords="2298,3328,2409,3272,3327">mi-</WORD>
</LINE>
<LINE>
<WORD coords="104,3410,346,3355,3408">nuendo</WORD>
<WORD coords="396,3415,550,3357,3413">debe</WORD>
<WORD coords="604,3417,701,3381,3417">ser</WORD>
<WORD coords="752,3444,1131,3362,3422">homogéneo</WORD>
<WORD coords="1180,3427,1289,3392,3426">con</WORD>
<WORD coords="1337,3429,1389,3375,3428">el</WORD>
<WORD coords="1452,3431,1851,3373,3428">sustrahendo</WORD>
<WORD coords="1890,3445,1904,3400,3439">;</WORD>
<WORD coords="1953,3433,2067,3379,3427">2.°</WORD>
<WORD coords="2135,3447,2273,3378,3434">Que</WORD>
<WORD coords="2328,3433,2408,3396,3432">un</WORD>
</LINE>
<LINE>
<WORD coords="105,3515,361,3473,3513">numero</WORD>
<WORD coords="413,3542,623,3482,3518">mayor</WORD>
<WORD coords="675,3524,753,3486,3523">no</WORD>
<WORD coords="808,3527,870,3490,3526">se</WORD>
<WORD coords="930,3546,1124,3476,3528">puede</WORD>
<WORD coords="1173,3533,1364,3466,3530">restar</WORD>
<WORD coords="1408,3533,1482,3477,3532">de</WORD>
<WORD coords="1538,3534,1615,3498,3533">un</WORD>
<WORD coords="1664,3536,1919,3499,3535">numero</WORD>
<WORD coords="1971,3536,2177,3501,3536">menor</WORD>
<WORD coords="2208,3553,2224,3527,3553">,</WORD>
<WORD coords="2262,3554,2408,3504,3538">pues</WORD>
</LINE>
<LINE>
<WORD coords="107,3617,182,3562,3616">de</WORD>
<WORD coords="229,3617,286,3564,3617">lo</WORD>
<WORD coords="338,3626,637,3569,3623">contrario</WORD>
<WORD coords="717,3629,772,3573,3628">la</WORD>
<WORD coords="834,3644,998,3588,3631">parte</WORD>
<WORD coords="1056,3634,1212,3580,3633">seria</WORD>
<WORD coords="1277,3656,1486,3600,3636">mayor</WORD>
<WORD coords="1532,3655,1647,3601,3636">que</WORD>
<WORD coords="1703,3640,1756,3586,3640">el</WORD>
<WORD coords="1815,3640,1958,3584,3638">todo</WORD>
<WORD coords="1988,3657,2004,3630,3648">,</WORD>
<WORD coords="2052,3640,2110,3587,3639">lo</WORD>
<WORD coords="2169,3658,2283,3605,3640">que</WORD>
<WORD coords="2342,3643,2408,3607,3643">es</WORD>
</LINE>
<LINE>
<WORD coords="106,3719,185,3681,3718">un</WORD>
<WORD coords="236,3725,495,3667,3722">absurdo</WORD>
<WORD coords="533,3740,549,3694,3738">;</WORD>
<WORD coords="599,3728,651,3679,3727">3.</WORD>
<WORD coords="765,3746,904,3676,3733">Que</WORD>
<WORD coords="959,3755,1242,3691,3737">tampoco</WORD>
<WORD coords="1292,3756,1583,3686,3738">podemos</WORD>
<WORD coords="1641,3742,1827,3701,3741">restar</WORD>
<WORD coords="1879,3742,1956,3687,3741">de</WORD>
<WORD coords="2012,3744,2092,3706,3743">un</WORD>
<WORD coords="2149,3745,2405,3708,3744">numero</WORD>
</LINE>
<LINE>
<WORD coords="110,3821,242,3778,3820">otro</WORD>
<WORD coords="297,3841,413,3788,3825">que</WORD>
<WORD coords="471,3827,523,3775,3826">le</WORD>
<WORD coords="583,3832,681,3796,3831">sea</WORD>
<WORD coords="738,3855,895,3780,3834">igual</WORD>
<WORD coords="928,3854,946,3825,3854">,</WORD>
<WORD coords="1006,3858,1112,3802,3838">por</WORD>
<WORD coords="1159,3860,1274,3806,3843">que</WORD>
<WORD coords="1338,3843,1619,3795,3841">entonces</WORD>
<WORD coords="1689,3844,1742,3791,3843">la</WORD>
<WORD coords="1809,3861,1972,3803,3845">parte</WORD>
<WORD coords="2027,3847,2178,3792,3845">seria</WORD>
<WORD coords="2242,3867,2407,3795,3847">igual</WORD>
</LINE>
<LINE>
<WORD coords="110,3922,159,3869,3919">al</WORD>
<WORD coords="204,3926,348,3869,3925">todo</WORD>
<WORD coords="382,3945,397,3916,3945">,</WORD>
<WORD coords="454,3949,567,3896,3933">que</WORD>
<WORD coords="621,3939,886,3883,3936">también</WORD>
<WORD coords="937,3942,1000,3905,3942">es</WORD>
<WORD coords="1052,3944,1130,3907,3943">un</WORD>
<WORD coords="1203,3965,1626,3892,3944">desproposito</WORD>
<WORD coords="1658,3954,1674,3915,3950">;</WORD>
<WORD coords="1719,3947,1792,3893,3947">de</WORD>
<WORD coords="1845,3950,2044,3894,3948">donde</WORD>
<WORD coords="2101,3950,2163,3915,3949">se</WORD>
<WORD coords="2231,3971,2403,3895,3949">sigue</WORD>
</LINE>
<LINE>
<WORD coords="110,4047,226,3993,4026">que</WORD>
<WORD coords="280,4036,313,4003,4036">n</WORD>
<WORD coords="424,4059,543,3979,4035">hay</WORD>
<WORD coords="613,4045,947,3981,4041">diferencia</WORD>
<WORD coords="1005,4047,1039,3992,4047">ó</WORD>
<WORD coords="1095,4071,1213,3993,4048">hay</WORD>
<WORD coords="1265,4052,1405,4012,4051">cero</WORD>
<WORD coords="1454,4056,1785,3993,4053">deferencia</WORD>
<WORD coords="1869,4058,2033,4011,4056">entre</WORD>
<WORD coords="2117,4057,2402,4015,4053">numeroa</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="73,4098,87,4067,4119">*</WORD>
<WORD coords="120,4158,369,4078,4139">iguale».</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0033.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0034.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0034.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1900,686,2044,598,686">24</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="973,785,1073,731,783">58.</WORD>
<WORD coords="1165,783,1497,703,779">tórolario.</WORD>
<WORD coords="1585,778,1649,721,778">Sí</WORD>
<WORD coords="1687,777,1740,719,776">al</WORD>
<WORD coords="1794,778,2126,720,775">minuendo</WORD>
<WORD coords="2173,790,2718,718,772">descomponemos</WORD>
<WORD coords="2749,772,2821,731,772">en</WORD>
<WORD coords="2853,772,2963,714,771">dos</WORD>
<WORD coords="2992,794,3131,730,771">par-</WORD>
</LINE>
<LINE>
<WORD coords="831,889,929,842,887">tes</WORD>
<WORD coords="963,901,979,877,893">,</WORD>
<WORD coords="1025,886,1102,832,885">de</WORD>
<WORD coords="1146,887,1232,833,885">las</WORD>
<WORD coords="1273,903,1389,848,884">que</WORD>
<WORD coords="1447,883,1563,845,882">una</WORD>
<WORD coords="1624,882,1734,842,881">sea</WORD>
<WORD coords="1784,901,1949,826,879">igual</WORD>
<WORD coords="1996,878,2051,824,878">al</WORD>
<WORD coords="2093,880,2497,820,877">sustrahendo</WORD>
<WORD coords="2554,895,2593,839,887">y</WORD>
<WORD coords="2652,875,2783,829,873">esta</WORD>
<WORD coords="2838,891,3002,830,873">parte</WORD>
<WORD coords="3075,876,3132,821,876">ía</WORD>
</LINE>
<LINE>
<WORD coords="816,995,1198,936,991">destruimos</WORD>
<WORD coords="1247,990,1284,935,990">ó</WORD>
<WORD coords="1337,1005,1685,943,986">reputamos</WORD>
<WORD coords="1735,1003,1842,948,983">por</WORD>
<WORD coords="1902,983,2058,928,982">nada</WORD>
<WORD coords="2090,998,2106,969,990">,</WORD>
<WORD coords="2131,981,2238,944,980">nos</WORD>
<WORD coords="2285,981,2510,924,979">vendrá</WORD>
<WORD coords="2544,994,2650,941,976">por</WORD>
<WORD coords="2696,976,2855,930,975">resta</WORD>
<WORD coords="2910,979,2965,924,978">la</WORD>
<WORD coords="3001,982,3134,933,978">otra</WORD>
</LINE>
<LINE>
<WORD coords="819,1117,991,1051,1094">parte</WORD>
<WORD coords="1047,1095,1351,1040,1092">existente</WORD>
<WORD coords="1385,1101,1400,1062,1099">;</WORD>
<WORD coords="1433,1098,1489,1057,1091">v.</WORD>
<WORD coords="1539,1109,1599,1056,1103">g.</WORD>
<WORD coords="1652,1108,1792,1053,1089">para</WORD>
<WORD coords="1846,1088,2033,1044,1086">restar</WORD>
<WORD coords="2092,1085,2168,1030,1084">de</WORD>
<WORD coords="2214,1083,2250,1033,1084">9</WORD>
<WORD coords="2295,1084,2348,1030,1083">el</WORD>
<WORD coords="2400,1083,2442,1027,1089">4</WORD>
<WORD coords="2468,1096,2484,1071,1096">,</WORD>
<WORD coords="2515,1097,3134,1021,1080">descompondremos</WORD>
</LINE>
<LINE>
<WORD coords="816,1202,873,1146,1200">el</WORD>
<WORD coords="922,1199,963,1148,1199">9</WORD>
<WORD coords="1008,1199,1078,1164,1198">en</WORD>
<WORD coords="1133,1198,1164,1152,1198">5</WORD>
<WORD coords="1209,1222,1398,1143,1207">+4,</WORD>
<WORD coords="1449,1197,1850,1141,1194">reduzcamos</WORD>
<WORD coords="1895,1193,1926,1140,1192">á</WORD>
<WORD coords="1982,1191,2024,1142,1191">O</WORD>
<WORD coords="2080,1189,2134,1132,1188">el</WORD>
<WORD coords="2179,1189,2217,1139,1189">4</WORD>
<WORD coords="2247,1204,2263,1176,1204">,</WORD>
<WORD coords="2302,1208,2344,1148,1198">y</WORD>
<WORD coords="2392,1187,2740,1130,1184">tendremos</WORD>
<WORD coords="2792,1183,2827,1135,1186">5</WORD>
<WORD coords="2899,1189,2981,1129,1185">de</WORD>
<WORD coords="3011,1185,3133,1146,1183">res-</WORD>
</LINE>
<LINE>
<WORD coords="816,1307,895,1260,1305">ta.</WORD>
<WORD coords="984,1325,1201,1250,1302">Luego</WORD>
<WORD coords="1263,1320,1585,1246,1299">podremos</WORD>
<WORD coords="1645,1297,1822,1243,1296">decir</WORD>
<WORD coords="1865,1314,1982,1261,1296">que</WORD>
<WORD coords="2041,1295,2238,1248,1293">restar</WORD>
<WORD coords="2291,1292,2349,1256,1291">es</WORD>
<WORD coords="2402,1291,2669,1234,1287">destruir</WORD>
<WORD coords="2723,1288,2754,1252,1288">o</WORD>
<WORD coords="2798,1289,2998,1242,1288">tomar</WORD>
<WORD coords="3045,1291,3138,1248,1290">vm</WORD>
</LINE>
<LINE>
<WORD coords="816,1413,1059,1372,1409">numero</WORD>
<WORD coords="1113,1427,1283,1354,1406">igual</WORD>
<WORD coords="1335,1407,1397,1349,1407">al</WORD>
<WORD coords="1437,1405,1831,1347,1402">sustrahendo</WORD>
<WORD coords="1886,1403,1950,1344,1402">al</WORD>
<WORD coords="1994,1401,2297,1341,1398">contrario</WORD>
<WORD coords="2343,1397,2412,1340,1396">de</WORD>
<WORD coords="2463,1396,2514,1342,1395">lo</WORD>
<WORD coords="2564,1416,2672,1354,1392">que</WORD>
<WORD coords="2724,1392,2807,1354,1390">es*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="977,1513,1057,1461,1512">59</WORD>
<WORD coords="1172,1513,1491,1455,1510">Problema</WORD>
<WORD coords="1528,1513,1544,1477,1509">:</WORD>
<WORD coords="1628,1506,1854,1450,1504">Restar</WORD>
<WORD coords="1914,1505,1995,1468,1505">un</WORD>
<WORD coords="2039,1504,2279,1465,1503">numero</WORD>
<WORD coords="2332,1502,2401,1447,1500">de</WORD>
<WORD coords="2456,1499,2606,1452,1497">otro.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="978,1618,1354,1561,1615">Resolución.</WORD>
<WORD coords="1450,1615,1501,1567,1612">1.</WORD>
<WORD coords="1674,1628,2021,1557,1610">Coloqúese</WORD>
<WORD coords="2067,1607,2122,1553,1606">el</WORD>
<WORD coords="2181,1607,2581,1548,1604">sustrahendo</WORD>
<WORD coords="2634,1625,2852,1546,1601">debajo</WORD>
<WORD coords="2882,1601,2980,1544,1599">del</WORD>
<WORD coords="3015,1602,3131,1545,1602">mi-</WORD>
</LINE>
<LINE>
<WORD coords="819,1723,1063,1669,1721">nuendo</WORD>
<WORD coords="1096,1736,1113,1709,1728">,</WORD>
<WORD coords="1179,1721,1255,1666,1720">de</WORD>
<WORD coords="1333,1720,1514,1663,1719">modo</WORD>
<WORD coords="1573,1734,1687,1681,1718">que</WORD>
<WORD coords="1746,1718,1809,1681,1717">se</WORD>
<WORD coords="1863,1735,2313,1660,1714">correspondan</WORD>
<WORD coords="2389,1713,2689,1655,1710">unidades</WORD>
<WORD coords="2769,1726,2987,1648,1703">debajo</WORD>
<WORD coords="3051,1707,3132,1648,1705">de</WORD>
</LINE>
<LINE>
<WORD coords="825,1830,1122,1769,1825">unidades</WORD>
<WORD coords="1146,1839,1161,1812,1823">,</WORD>
<WORD coords="1189,1823,1446,1770,1823">decenas</WORD>
<WORD coords="1501,1844,1718,1768,1823">debajo</WORD>
<WORD coords="1771,1822,1846,1766,1821">de</WORD>
<WORD coords="1893,1821,2162,1764,1818">decenas</WORD>
<WORD coords="2204,1820,2314,1762,1817">&amp;c.</WORD>
<WORD coords="2368,1837,2405,1781,1827">y</WORD>
<WORD coords="2466,1817,2654,1763,1815">tírese</WORD>
<WORD coords="2687,1816,2803,1774,1812">una</WORD>
<WORD coords="2851,1831,2992,1772,1809">raya</WORD>
<WORD coords="3025,1808,3132,1752,1808">de»</WORD>
</LINE>
<LINE>
<WORD coords="824,1955,963,1879,1932">bajo</WORD>
<WORD coords="1011,1931,1109,1877,1930">del</WORD>
<WORD coords="1168,1931,1571,1872,1928">sustrahendo</WORD>
<WORD coords="1607,1941,1623,1895,1935">;</WORD>
<WORD coords="1675,1929,1731,1880,1926">2.</WORD>
<WORD coords="1755,1909,1792,1873,1916">°</WORD>
<WORD coords="1872,1928,2277,1869,1924">Comienzese</WORD>
<WORD coords="2329,1921,2405,1865,1921">de</WORD>
<WORD coords="2452,1920,2508,1866,1919">la</WORD>
<WORD coords="2561,1920,2738,1882,1919">mano</WORD>
<WORD coords="2789,1917,3049,1858,1914">derecha</WORD>
<WORD coords="3098,1914,3131,1859,1914">á</WORD>
</LINE>
<LINE>
<WORD coords="822,2039,931,2001,2037">ver</WORD>
<WORD coords="973,2037,1028,1982,2036">la</WORD>
<WORD coords="1087,2036,1427,1977,2033">diferencia</WORD>
<WORD coords="1481,2052,1705,1976,2031">parcial</WORD>
<WORD coords="1736,2044,1753,2018,2044">,</WORD>
<WORD coords="1799,2049,1916,1995,2031">que</WORD>
<WORD coords="1951,2049,2065,1973,2028">hay</WORD>
<WORD coords="2124,2029,2222,1973,2027">del</WORD>
<WORD coords="2270,2048,2581,1969,2024">guarismo</WORD>
<WORD coords="2617,2045,2892,1967,2021">superior</WORD>
<WORD coords="2937,2019,2988,1965,2018">al</WORD>
<WORD coords="3046,2017,3135,1962,2016">in-</WORD>
</LINE>
<LINE>
<WORD coords="820,2145,1010,2087,2142">ferior</WORD>
<WORD coords="1065,2161,1104,2105,2151">y</WORD>
<WORD coords="1161,2141,1458,2085,2139">escríbase</WORD>
<WORD coords="1512,2137,1566,2083,2137">el</WORD>
<WORD coords="1621,2137,1831,2099,2135">ecceso</WORD>
<WORD coords="1878,2156,2019,2078,2133">bajo</WORD>
<WORD coords="2065,2134,2141,2078,2133">de</WORD>
<WORD coords="2176,2133,2229,2078,2132">la</WORD>
<WORD coords="2292,2151,2426,2093,2130">raya</WORD>
<WORD coords="2458,2147,2475,2118,2147">,</WORD>
<WORD coords="2500,2151,2855,2071,2128">ejecutando</WORD>
<WORD coords="2903,2127,2962,2073,2126">lo</WORD>
<WORD coords="2991,2127,3136,2071,2125">mis-</WORD>
</LINE>
<LINE>
<WORD coords="825,2251,926,2212,2249">mo</WORD>
<WORD coords="987,2248,1100,2211,2247">con</WORD>
<WORD coords="1148,2247,1237,2191,2246">las</WORD>
<WORD coords="1289,2246,1545,2189,2244">decenas</WORD>
<WORD coords="1568,2261,1586,2231,2243">,</WORD>
<WORD coords="1629,2243,1907,2196,2241">centenas</WORD>
<WORD coords="1933,2256,1951,2228,2247">,</WORD>
<WORD coords="2014,2239,2276,2183,2237">millares</WORD>
<WORD coords="2359,2240,2461,2180,2235">&amp;?c</WORD>
<WORD coords="2497,2240,2513,2205,2240">;</WORD>
<WORD coords="2562,2241,2616,2185,2238">3,</WORD>
<WORD coords="2639,2218,2676,2183,2228">°</WORD>
<WORD coords="2760,2234,3012,2174,2230">Cuando</WORD>
<WORD coords="3067,2231,3123,2174,2230">el</WORD>
</LINE>
<LINE>
<WORD coords="825,2378,1141,2298,2353">guarismo</WORD>
<WORD coords="1202,2352,1276,2295,2351">de</WORD>
<WORD coords="1334,2351,1532,2295,2349">arriba</WORD>
<WORD coords="1585,2348,1649,2311,2348">es</WORD>
<WORD coords="1706,2348,1916,2308,2346">menor</WORD>
<WORD coords="1979,2364,2095,2307,2343">que</WORD>
<WORD coords="2146,2342,2201,2287,2342">el</WORD>
<WORD coords="2259,2342,2333,2285,2341">de</WORD>
<WORD coords="2410,2361,2585,2283,2340">abajo</WORD>
<WORD coords="2618,2356,2636,2327,2350">,</WORD>
<WORD coords="2688,2343,2754,2299,2339">se</WORD>
<WORD coords="2833,2335,2984,2278,2334">debe</WORD>
<WORD coords="3040,2333,3134,2287,2332">to-</WORD>
</LINE>
<LINE>
<WORD coords="826,2464,959,2424,2461">mar</WORD>
<WORD coords="1014,2461,1130,2422,2459">una</WORD>
<WORD coords="1178,2461,1411,2401,2457">unidad</WORD>
<WORD coords="1474,2456,1572,2399,2454">del</WORD>
<WORD coords="1646,2474,1958,2396,2452">guarismo</WORD>
<WORD coords="2019,2471,2423,2391,2446">significativo</WORD>
<WORD coords="2479,2446,2828,2389,2442">inmediato</WORD>
<WORD coords="2906,2437,3037,2383,2436">acia</WORD>
<WORD coords="3082,2435,3140,2379,2434">la</WORD>
</LINE>
<LINE>
<WORD coords="826,2583,1151,2508,2565">izquierda</WORD>
<WORD coords="1181,2576,1200,2549,2569">,</WORD>
<WORD coords="1246,2562,1299,2508,2561">la</WORD>
<WORD coords="1348,2562,1483,2504,2561">cual</WORD>
<WORD coords="1539,2560,1765,2502,2558">unidad</WORD>
<WORD coords="1819,2557,1996,2519,2556">como</WORD>
<WORD coords="2028,2555,2161,2500,2553">vale</WORD>
<WORD coords="2227,2553,2303,2504,2552">10</WORD>
<WORD coords="2358,2570,2499,2493,2561">(26)</WORD>
<WORD coords="2530,2567,2805,2499,2546">respecto</WORD>
<WORD coords="2866,2541,2963,2484,2540">del</WORD>
<WORD coords="2996,2560,3145,2501,2538">gua-</WORD>
</LINE>
<LINE>
<WORD coords="828,2672,1019,2616,2670">rismo</WORD>
<WORD coords="1077,2688,1195,2632,2670">que</WORD>
<WORD coords="1248,2667,1372,2612,2666">está</WORD>
<WORD coords="1420,2666,1451,2614,2665">á</WORD>
<WORD coords="1500,2665,1763,2602,2664">derecha</WORD>
<WORD coords="1797,2677,1815,2650,2669">,</WORD>
<WORD coords="1861,2662,1924,2626,2661">se</WORD>
<WORD coords="1986,2661,2220,2603,2659">añaden</WORD>
<WORD coords="2278,2659,2441,2613,2656">estos</WORD>
<WORD coords="2500,2656,2642,2599,2655">diez</WORD>
<WORD coords="2701,2653,2755,2596,2651">al</WORD>
<WORD coords="2831,2670,3148,2592,2647">guarismo</WORD>
</LINE>
<LINE>
<WORD coords="828,2777,1043,2736,2775">menor</WORD>
<WORD coords="1089,2796,1126,2738,2785">y</WORD>
<WORD coords="1160,2774,1444,2728,2771">entonces</WORD>
<WORD coords="1502,2770,1565,2733,2769">se</WORD>
<WORD coords="1606,2769,1754,2710,2766">hace</WORD>
<WORD coords="1812,2766,1866,2710,2766">la</WORD>
<WORD coords="1921,2776,2133,2719,2763">resta;</WORD>
<WORD coords="2187,2781,2330,2725,2761">pero</WORD>
<WORD coords="2386,2760,2439,2705,2759">al</WORD>
<WORD coords="2490,2758,2681,2712,2757">restar</WORD>
<WORD coords="2734,2756,2791,2700,2755">el</WORD>
<WORD coords="2839,2753,2971,2707,2752">c-tro</WORD>
<WORD coords="3000,2771,3145,2712,2751">gua-</WORD>
</LINE>
<LINE>
<WORD coords="832,2880,1022,2823,2878">rismo</WORD>
<WORD coords="1071,2877,1403,2821,2875">inmediato</WORD>
<WORD coords="1443,2874,1505,2837,2873">se</WORD>
<WORD coords="1542,2874,1597,2819,2873">le</WORD>
<WORD coords="1657,2873,1815,2815,2871">hade</WORD>
<WORD coords="1874,2891,2111,2811,2868">rebajar</WORD>
<WORD coords="2161,2867,2217,2810,2866">la</WORD>
<WORD coords="2261,2867,2494,2808,2864">unidad</WORD>
<WORD coords="2554,2881,2668,2824,2862">que</WORD>
<WORD coords="2736,2860,2800,2824,2859">se</WORD>
<WORD coords="2856,2858,2911,2804,2857">le</WORD>
<WORD coords="2952,2868,3155,2814,2855">tomo;</WORD>
</LINE>
<LINE>
<WORD coords="839,2989,900,2904,2989">i.</WORD>
<WORD coords="926,2966,963,2929,2968">°</WORD>
<WORD coords="1045,2983,1109,2926,2983">Si</WORD>
<WORD coords="1166,2980,1221,2925,2980">el</WORD>
<WORD coords="1272,3003,1638,2924,2979">guarismo,</WORD>
<WORD coords="1692,2975,1766,2922,2975">de</WORD>
<WORD coords="1822,2994,2003,2919,2973">quien</WORD>
<WORD coords="2053,2972,2115,2936,2971">se</WORD>
<WORD coords="2166,2971,2242,2916,2970">ha</WORD>
<WORD coords="2289,2969,2364,2913,2969">de</WORD>
<WORD coords="2412,2969,2618,2924,2966">tomar</WORD>
<WORD coords="2664,2965,2719,2911,2964">la</WORD>
<WORD coords="2791,2963,3020,2906,2961">unidad</WORD>
<WORD coords="3075,2961,3153,2903,2959">de</WORD>
</LINE>
<LINE>
<WORD coords="833,3090,1066,3032,3087">decena</WORD>
<WORD coords="1099,3099,1113,3075,3092">,</WORD>
<WORD coords="1144,3086,1314,3029,3085">fuese</WORD>
<WORD coords="1370,3100,1543,3046,3083">cero,</WORD>
<WORD coords="1572,3082,1635,3046,3081">se</WORD>
<WORD coords="1700,3081,1926,3023,3078">tomará</WORD>
<WORD coords="1983,3076,2080,3021,3075">del</WORD>
<WORD coords="2139,3094,2437,3019,3072">siguiente</WORD>
<WORD coords="2493,3092,2530,3035,3083">y</WORD>
<WORD coords="2563,3070,2616,3014,3069">si</WORD>
<WORD coords="2670,3069,2793,3026,3068">este</WORD>
<WORD coords="2838,3067,3010,3008,3066">fuese</WORD>
<WORD coords="3057,3064,3155,3028,3063">ce-</WORD>
</LINE>
<LINE>
<WORD coords="838,3196,913,3155,3195">ro</WORD>
<WORD coords="949,3208,966,3180,3200">,</WORD>
<WORD coords="1018,3192,1082,3156,3191">se</WORD>
<WORD coords="1134,3191,1368,3136,3189">tomará</WORD>
<WORD coords="1427,3188,1525,3133,3187">del</WORD>
<WORD coords="1576,3208,1887,3129,3183">guarismo</WORD>
<WORD coords="1948,3200,2350,3122,3176">significativo</WORD>
<WORD coords="2411,3194,2525,3140,3175">que</WORD>
<WORD coords="2597,3193,2858,3118,3172">primero</WORD>
<WORD coords="2937,3169,3155,3128,3166">©curra</WORD>
</LINE>
<LINE>
<WORD coords="839,3304,973,3243,3300">acia</WORD>
<WORD coords="1034,3315,1350,3238,3294">izquierda</WORD>
<WORD coords="1386,3297,1403,3260,3294">:</WORD>
<WORD coords="1452,3291,1509,3240,3291">el</WORD>
<WORD coords="1558,3291,1697,3253,3290">cero</WORD>
<WORD coords="1752,3291,1790,3235,3289">ó</WORD>
<WORD coords="1848,3288,2023,3248,3285">ceros</WORD>
<WORD coords="2084,3305,2203,3245,3284">que</WORD>
<WORD coords="2281,3283,2681,3223,3280">intermedian</WORD>
<WORD coords="2734,3277,2798,3241,3276">se</WORD>
<WORD coords="2872,3276,3151,3217,3272">conside-</WORD>
</LINE>
<LINE>
<WORD coords="844,3404,1017,3348,3402">rarán</WORD>
<WORD coords="1049,3401,1225,3363,3399">como</WORD>
<WORD coords="1270,3398,1321,3343,3398">si</WORD>
<WORD coords="1374,3399,1587,3339,3396">fueran</WORD>
<WORD coords="1633,3395,1856,3355,3393">nueves</WORD>
<WORD coords="1877,3407,1897,3377,3407">t</WORD>
<WORD coords="1922,3409,1962,3354,3401">y</WORD>
<WORD coords="2015,3389,2077,3354,3388">se</WORD>
<WORD coords="2130,3410,2403,3332,3387">rebajará</WORD>
<WORD coords="2442,3387,2559,3349,3385">una</WORD>
<WORD coords="2607,3387,2836,3326,3383">unidad</WORD>
<WORD coords="2880,3379,2979,3323,3378">del</WORD>
<WORD coords="3030,3394,3151,3315,3374">pri-</WORD>
</LINE>
<LINE>
<WORD coords="839,3508,973,3466,3505">mer</WORD>
<WORD coords="1029,3524,1339,3448,3501">guarismo</WORD>
<WORD coords="1383,3519,1786,3442,3497">significativo</WORD>
<WORD coords="1827,3515,2153,3439,3492">siguiente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1007,3629,1296,3551,3606">Ejemplo.</WORD>
<WORD coords="1373,3603,1578,3545,3600">Véase</WORD>
<WORD coords="1632,3600,1686,3546,3599">la</WORD>
<WORD coords="1734,3599,2068,3539,3596">diferencia</WORD>
<WORD coords="2123,3611,2238,3556,3592">que</WORD>
<WORD coords="2311,3610,2431,3537,3591">hay</WORD>
<WORD coords="2593,3591,2627,3541,3594">8</WORD>
<WORD coords="2670,3589,2711,3541,3589">O</WORD>
<WORD coords="2750,3588,2792,3540,3588">O</WORD>
<WORD coords="2829,3588,2872,3537,3592">4</WORD>
<WORD coords="2913,3585,2951,3538,3591">5</WORD>
<WORD coords="2995,3586,3037,3568,3589">,.</WORD>
<WORD coords="3083,3590,3151,3530,3590">A</WORD>
</LINE>
<LINE>
<WORD coords="844,3714,1016,3668,3711">entre</WORD>
<WORD coords="1060,3710,1148,3657,3709">los</WORD>
<WORD coords="1201,3710,1490,3668,3707">números</WORD>
<WORD coords="1547,3706,1608,3649,3706">A</WORD>
<WORD coords="1673,3725,1713,3667,3715">y</WORD>
<WORD coords="1770,3705,1823,3647,3705">B</WORD>
<WORD coords="1863,3718,1882,3689,3718">,</WORD>
<WORD coords="1932,3720,2048,3664,3701">que</WORD>
<WORD coords="2100,3698,2436,3641,3697">indicando</WORD>
<WORD coords="2605,3697,2638,3643,3699">7</WORD>
<WORD coords="2681,3696,2721,3647,3698">4</WORD>
<WORD coords="2762,3696,2797,3650,3698">2</WORD>
<WORD coords="2842,3695,2879,3645,3698">6</WORD>
<WORD coords="2922,3693,2958,3644,3697">3</WORD>
<WORD coords="3009,3692,3044,3676,3694">..</WORD>
<WORD coords="3094,3693,3153,3631,3693">B</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="856,3819,994,3778,3816">sera</WORD>
<WORD coords="1044,3814,1103,3761,3814">A</WORD>
<WORD coords="1136,3801,1209,3789,3807">—</WORD>
<WORD coords="1237,3812,1311,3757,3812">B.</WORD>
<WORD coords="2588,3789,2607,3773,3789">&quot;</WORD>
<WORD coords="2627,3790,2651,3774,3790">&quot;</WORD>
<WORD coords="3111,3790,3146,3769,3801">&quot;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1011,3917,1322,3863,3915">Colocado</WORD>
<WORD coords="1373,3915,1428,3860,3914">el</WORD>
<WORD coords="1483,3917,1880,3855,3912">sustrahendo</WORD>
<WORD coords="1936,3913,1987,3856,3913">B</WORD>
<WORD coords="2041,3932,2256,3855,3909">debajo</WORD>
<WORD coords="2309,3907,2410,3848,3905">del</WORD>
<WORD coords="2576,3903,2618,3854,3903">O</WORD>
<WORD coords="2662,3903,2695,3855,3906">5</WORD>
<WORD coords="2746,3904,2778,3855,3907">7</WORD>
<WORD coords="2824,3902,2859,3853,3906">8</WORD>
<WORD coords="2903,3902,2940,3854,3906">2</WORD>
<WORD coords="3072,3903,3148,3843,3903">C.</WORD>
</LINE>
<LINE>
<WORD coords="848,4033,1187,3965,4024">minuendo</WORD>
<WORD coords="1218,4035,1234,4010,4028">,</WORD>
<WORD coords="1277,4022,1453,3984,4020">como</WORD>
<WORD coords="1498,4019,1562,3984,4018">se</WORD>
<WORD coords="1633,4023,1704,3985,4022">ve</WORD>
<WORD coords="1770,4021,1824,3964,4019">al</WORD>
<WORD coords="1890,4020,2029,3962,4018">lado</WORD>
<WORD coords="2063,4030,2080,4004,4029">,</WORD>
<WORD coords="2127,4028,2408,3958,4013">empiezo</WORD>
</LINE>
<LINE>
<WORD coords="850,4155,962,4095,4134">por</WORD>
<WORD coords="1013,4133,1098,4077,4131">las</WORD>
<WORD coords="1155,4129,1453,4068,4126">unidades</WORD>
<WORD coords="1497,4144,1535,4088,4144">y</WORD>
<WORD coords="1589,4146,1735,4067,4123">digo</WORD>
<WORD coords="1771,4126,1789,4091,4126">:</WORD>
<WORD coords="1834,4143,2015,4053,4123">quien</WORD>
<WORD coords="2069,4123,2143,4064,4122">de</WORD>
<WORD coords="2200,4121,2234,4071,4121">5</WORD>
<WORD coords="2294,4134,2462,4063,4118">quita</WORD>
<WORD coords="2508,4114,2542,4065,4117">3</WORD>
<WORD coords="2600,4117,2800,4066,4114">restan</WORD>
<WORD coords="2851,4113,2888,4061,4122">2</WORD>
<WORD coords="2910,4131,2931,4097,4120">,</WORD>
<WORD coords="2970,4112,3155,4050,4110">escri*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0034.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0035.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0035.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1204,540,1348,454,540">25</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="109,643,189,581,642">fco</WORD>
<WORD coords="242,643,298,587,642">el</WORD>
<WORD coords="339,645,378,591,651">2</WORD>
<WORD coords="427,669,647,588,645">debajo</WORD>
<WORD coords="702,650,801,591,648">del</WORD>
<WORD coords="849,663,925,600,658">3;</WORD>
<WORD coords="976,670,1097,613,649">voy</WORD>
<WORD coords="1152,653,1181,601,655">á</WORD>
<WORD coords="1242,656,1296,604,655">la</WORD>
<WORD coords="1343,663,1625,604,659">columna</WORD>
<WORD coords="1678,685,1980,606,663">siguiente</WORD>
<WORD coords="2041,667,2119,609,666">de</WORD>
<WORD coords="2170,670,2260,610,668">las</WORD>
<WORD coords="2311,670,2427,613,670">-de-</WORD>
</LINE>
<LINE>
<WORD coords="109,751,286,710,748">cenas</WORD>
<WORD coords="333,768,374,713,768">y</WORD>
<WORD coords="430,773,627,696,751">digo:</WORD>
<WORD coords="685,773,868,701,754">quien</WORD>
<WORD coords="922,756,996,700,755">de</WORD>
<WORD coords="1050,758,1092,707,759">4</WORD>
<WORD coords="1128,777,1296,705,761">quita</WORD>
<WORD coords="1329,763,1371,710,770">6</WORD>
<WORD coords="1397,778,1413,752,765">,</WORD>
<WORD coords="1469,765,1545,730,765">no</WORD>
<WORD coords="1594,784,1790,717,769">puede</WORD>
<WORD coords="1857,786,2004,733,769">ser,</WORD>
<WORD coords="2086,774,2283,717,772">añado</WORD>
<WORD coords="2361,774,2438,723,774">10</WORD>
</LINE>
<LINE>
<WORD coords="105,854,160,798,852">al</WORD>
<WORD coords="215,851,259,802,858">4</WORD>
<WORD coords="308,875,349,818,870">y</WORD>
<WORD coords="401,855,508,819,854">son</WORD>
<WORD coords="563,859,635,809,861">14</WORD>
<WORD coords="686,879,722,824,879">y</WORD>
<WORD coords="780,881,927,805,859">digo</WORD>
<WORD coords="960,864,975,826,865">:</WORD>
<WORD coords="1036,882,1218,809,862">quien</WORD>
<WORD coords="1278,865,1353,811,864">de</WORD>
<WORD coords="1416,868,1491,817,868">14</WORD>
<WORD coords="1523,884,1690,805,871">quita</WORD>
<WORD coords="1740,872,1778,820,872">6</WORD>
<WORD coords="1837,882,2038,830,874">restan</WORD>
<WORD coords="2095,878,2132,829,878">8</WORD>
<WORD coords="2161,892,2179,865,892">,</WORD>
<WORD coords="2227,899,2430,840,875">pongo</WORD>
</LINE>
<LINE>
<WORD coords="98,956,156,902,960">«1</WORD>
<WORD coords="206,958,257,909,958">a</WORD>
<WORD coords="294,982,517,904,959">debajo</WORD>
<WORD coords="565,963,661,908,962">del</WORD>
<WORD coords="720,963,756,913,966">6</WORD>
<WORD coords="793,971,807,933,971">;</WORD>
<WORD coords="865,983,1005,929,966">paflD</WORD>
<WORD coords="1047,966,1074,915,968">á</WORD>
<WORD coords="1138,969,1193,914,968">la</WORD>
<WORD coords="1233,971,1365,925,969">otra</WORD>
<WORD coords="1417,978,1693,919,973">columna</WORD>
<WORD coords="1741,999,1781,943,999">y</WORD>
<WORD coords="1838,999,1984,926,978">digo</WORD>
<WORD coords="2018,982,2034,947,982">:</WORD>
<WORD coords="2092,983,2169,927,982">de</WORD>
<WORD coords="2225,995,2301,930,989">9,</WORD>
<WORD coords="2355,998,2417,935,989">2,</WORD>
</LINE>
<LINE>
<WORD coords="98,1074,184,1006,1070">7,</WORD>
<WORD coords="229,1063,466,1007,1061">escribo</WORD>
<WORD coords="512,1064,564,1010,1064">el</WORD>
<WORD coords="622,1067,657,1014,1071">7</WORD>
<WORD coords="720,1091,979,1013,1068">debajo;</WORD>
<WORD coords="1045,1089,1188,1036,1072">paso</WORD>
<WORD coords="1236,1075,1267,1024,1075">á</WORD>
<WORD coords="1326,1077,1379,1021,1075">la</WORD>
<WORD coords="1434,1083,1716,1025,1079">columna</WORD>
<WORD coords="1772,1106,2076,1029,1084">siguiente</WORD>
<WORD coords="2136,1103,2175,1050,1103">y</WORD>
<WORD coords="2228,1106,2402,1030,1083">digo:</WORD>
</LINE>
<LINE>
<WORD coords="91,1165,167,1108,1164">de</WORD>
<WORD coords="222,1182,427,1112,1174">9,4,</WORD>
<WORD coords="476,1168,512,1121,1174">5</WORD>
<WORD coords="574,1188,692,1134,1172">que</WORD>
<WORD coords="746,1174,982,1120,1172">escribo</WORD>
<WORD coords="1031,1201,1249,1122,1176">debajo</WORD>
<WORD coords="1286,1193,1304,1148,1193">;</WORD>
<WORD coords="1365,1200,1510,1146,1181">paso</WORD>
<WORD coords="1569,1185,1599,1135,1185">á</WORD>
<WORD coords="1659,1188,1715,1132,1186">la</WORD>
<WORD coords="1757,1191,2043,1137,1189">columna</WORD>
<WORD coords="2107,1189,2407,1134,1187">inmedía-</WORD>
</LINE>
<LINE>
<WORD coords="84,1266,144,1220,1266">ta</WORD>
<WORD coords="172,1283,189,1254,1283">,</WORD>
<WORD coords="245,1291,414,1232,1269">cuyo,</WORD>
<WORD coords="455,1292,765,1220,1274">guarismo</WORD>
<WORD coords="820,1277,853,1231,1280">8</WORD>
<WORD coords="896,1298,1100,1227,1281">quedó</WORD>
<WORD coords="1145,1284,1218,1247,1283">en</WORD>
<WORD coords="1270,1287,1306,1233,1287">7</WORD>
<WORD coords="1362,1305,1470,1250,1287">por</WORD>
<WORD coords="1513,1293,1757,1232,1290">haberle</WORD>
<WORD coords="1825,1295,2075,1241,1294">tomado</WORD>
<WORD coords="2122,1296,2241,1258,1295">una</WORD>
<WORD coords="2284,1297,2426,1238,1295">uni^</WORD>
</LINE>
<LINE>
<WORD coords="82,1373,206,1315,1372">dad</WORD>
<WORD coords="249,1386,266,1361,1388">,</WORD>
<WORD coords="319,1395,357,1338,1395">y</WORD>
<WORD coords="418,1398,565,1320,1377">digo</WORD>
<WORD coords="598,1380,614,1346,1385">:</WORD>
<WORD coords="675,1380,751,1325,1380">de</WORD>
<WORD coords="810,1397,889,1330,1392">7,</WORD>
<WORD coords="931,1403,1008,1333,1393">7,</WORD>
<WORD coords="1050,1387,1095,1338,1387">O</WORD>
<WORD coords="1139,1409,1257,1352,1390">que</WORD>
<WORD coords="1313,1391,1376,1334,1390">lo</WORD>
<WORD coords="1423,1396,1664,1339,1393">escribo</WORD>
<WORD coords="1699,1417,1785,1360,1409">,y</WORD>
<WORD coords="1847,1399,1904,1342,1399">la</WORD>
<WORD coords="1957,1401,2293,1343,1400">diferencia</WORD>
<WORD coords="2320,1400,2418,1352,1399">to-</WORD>
</LINE>
<LINE>
<WORD coords="81,1477,166,1422,1476">tal</WORD>
<WORD coords="219,1478,351,1425,1477">será</WORD>
<WORD coords="409,1480,462,1426,1479">el</WORD>
<WORD coords="524,1484,781,1446,1483">numero</WORD>
<WORD coords="848,1489,923,1432,1488">C.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="238,1583,333,1531,1587">60.</WORD>
<WORD coords="433,1590,626,1531,1588">CoroL</WORD>
<WORD coords="720,1597,977,1537,1594">Cuando</WORD>
<WORD coords="1034,1600,1089,1545,1599">el</WORD>
<WORD coords="1132,1623,1446,1548,1604">guarismo</WORD>
<WORD coords="1475,1623,1492,1595,1616">,</WORD>
<WORD coords="1531,1609,1606,1553,1609">de</WORD>
<WORD coords="1641,1628,1823,1555,1612">quien</WORD>
<WORD coords="1854,1614,1917,1576,1613">se</WORD>
<WORD coords="1955,1614,2127,1572,1610">toma</WORD>
<WORD coords="2185,1609,2241,1553,1608">la</WORD>
<WORD coords="2274,1610,2410,1551,1608">uni-</WORD>
</LINE>
<LINE>
<WORD coords="72,1685,196,1627,1684">dad</WORD>
<WORD coords="234,1700,250,1674,1703">,</WORD>
<WORD coords="305,1688,367,1653,1688">es</WORD>
<WORD coords="415,1690,439,1646,1698">1</WORD>
<WORD coords="478,1706,495,1681,1706">,</WORD>
<WORD coords="549,1712,815,1641,1694">quedará</WORD>
<WORD coords="877,1700,948,1665,1699">en</WORD>
<WORD coords="1006,1721,1081,1653,1702">O,</WORD>
<WORD coords="1141,1724,1183,1669,1724">y</WORD>
<WORD coords="1235,1724,1377,1670,1707">para</WORD>
<WORD coords="1433,1716,1690,1658,1713">restarle</WORD>
<WORD coords="1751,1717,1815,1679,1716">se</WORD>
<WORD coords="1869,1719,1921,1661,1716">le</WORD>
<WORD coords="1969,1718,2225,1661,1716">añadirá</WORD>
<WORD coords="2291,1718,2415,1677,1716">una</WORD>
</LINE>
<LINE>
<WORD coords="68,1791,304,1733,1789">decena</WORD>
<WORD coords="340,1797,517,1757,1795">como</WORD>
<WORD coords="580,1803,798,1742,1801">hemos</WORD>
<WORD coords="847,1808,1029,1749,1806">dicho</WORD>
<WORD coords="1084,1819,1307,1758,1812">arriba.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="225,1906,711,1841,1900">Demostración.</WORD>
<WORD coords="805,1912,902,1853,1911">En</WORD>
<WORD coords="952,1913,1005,1859,1913">el</WORD>
<WORD coords="1065,1919,1251,1863,1917">modo</WORD>
<WORD coords="1311,1922,1387,1867,1922">de</WORD>
<WORD coords="1436,1944,1740,1872,1927">proceder</WORD>
<WORD coords="1768,1949,1885,1895,1931">que</WORD>
<WORD coords="1948,1933,2164,1875,1930">hemos</WORD>
<WORD coords="2198,1930,2405,1873,1928">obser-</WORD>
</LINE>
<LINE>
<WORD coords="74,2001,235,1943,2000">vado</WORD>
<WORD coords="265,2006,463,1948,2003">arriba</WORD>
<WORD coords="487,2018,501,1994,2024">,</WORD>
<WORD coords="535,2013,747,1951,2010">hemos</WORD>
<WORD coords="795,2019,1093,1960,2016">colocado</WORD>
<WORD coords="1154,2024,1240,1968,2023">las</WORD>
<WORD coords="1294,2033,1659,1971,2028">diferencias</WORD>
<WORD coords="1718,2052,2062,1980,2034">parciales,</WORD>
<WORD coords="2132,2052,2247,1998,2033">que</WORD>
<WORD coords="2277,2054,2403,1977,2032">hay</WORD>
</LINE>
<LINE>
<WORD coords="60,2103,229,2059,2102">entre</WORD>
<WORD coords="261,2107,347,2051,2105">las</WORD>
<WORD coords="376,2132,695,2053,2110">unidades,</WORD>
<WORD coords="722,2118,808,2061,2116">las</WORD>
<WORD coords="840,2141,1120,2064,2122">decenas,</WORD>
<WORD coords="1152,2128,1237,2073,2127">las</WORD>
<WORD coords="1270,2134,1555,2087,2131">centenas</WORD>
<WORD coords="1592,2137,1701,2079,2137">&amp;c.</WORD>
<WORD coords="1733,2138,1809,2084,2137">de</WORD>
<WORD coords="1841,2141,1930,2086,2139">los</WORD>
<WORD coords="1963,2140,2073,2086,2139">dos</WORD>
<WORD coords="2105,2142,2402,2103,2139">numeres</WORD>
</LINE>
<LINE>
<WORD coords="65,2228,425,2168,2210">propuestos</WORD>
<WORD coords="480,2218,542,2162,2218">A</WORD>
<WORD coords="600,2238,640,2185,2238">y</WORD>
<WORD coords="692,2243,780,2166,2221">B;</WORD>
<WORD coords="827,2243,865,2189,2238">y</WORD>
<WORD coords="920,2228,1094,2191,2227">como</WORD>
<WORD coords="1153,2233,1239,2178,2232">las</WORD>
<WORD coords="1295,2239,1660,2178,2235">diferencias</WORD>
<WORD coords="1715,2244,1798,2188,2243">de</WORD>
<WORD coords="1855,2246,2000,2192,2245">cada</WORD>
<WORD coords="2054,2265,2221,2201,2244">parte</WORD>
<WORD coords="2255,2248,2401,2209,2246">reu-</WORD>
</LINE>
<LINE>
<WORD coords="64,2312,241,2256,2311">nidas</WORD>
<WORD coords="294,2317,365,2281,2316">en</WORD>
<WORD coords="417,2318,470,2263,2317">el</WORD>
<WORD coords="527,2376,782,2285,2325">npmero</WORD>
<WORD coords="845,2331,892,2275,2331">C</WORD>
<WORD coords="952,2337,1190,2275,2334">forman</WORD>
<WORD coords="1250,2340,1306,2284,2339">la</WORD>
<WORD coords="1362,2346,1695,2284,2342">diferencia</WORD>
<WORD coords="1755,2351,1831,2294,2350">de</WORD>
<WORD coords="1876,2353,1969,2295,2350">los</WORD>
<WORD coords="2001,2356,2179,2299,2354">todos</WORD>
<WORD coords="2220,2378,2396,2301,2356">(Av.</WORD>
</LINE>
<LINE>
<WORD coords="65,2413,98,2364,2413">3</WORD>
<WORD coords="109,2434,301,2362,2434">«*J,</WORD>
<WORD coords="358,2424,421,2386,2423">se</WORD>
<WORD coords="476,2448,700,2371,2426">sigue,</WORD>
<WORD coords="745,2452,863,2397,2435">que</WORD>
<WORD coords="942,2439,995,2383,2437">la</WORD>
<WORD coords="1073,2448,1413,2383,2444">diferencia</WORD>
<WORD coords="1466,2451,1619,2396,2449">tctal</WORD>
<WORD coords="1678,2472,1880,2400,2456">queda</WORD>
<WORD coords="1936,2480,2261,2405,2461">espresada</WORD>
<WORD coords="2313,2463,2393,2423,2462">en</WORD>
</LINE>
<LINE>
<WORD coords="61,2518,120,2459,2517">la</WORD>
<WORD coords="169,2528,454,2469,2523">cantidad</WORD>
<WORD coords="516,2548,591,2476,2532">C,</WORD>
<WORD coords="638,2536,710,2477,2533">L.</WORD>
<WORD coords="760,2552,841,2482,2543">Q.</WORD>
<WORD coords="900,2540,979,2485,2540">D.</WORD>
<WORD coords="1036,2546,1113,2490,2544">D,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="223,2632,438,2571,2628">Ahora</WORD>
<WORD coords="468,2650,483,2622,2654">,</WORD>
<WORD coords="559,2638,633,2601,2637">en</WORD>
<WORD coords="687,2640,739,2585,2640">el</WORD>
<WORD coords="783,2664,1049,2589,2645">ejemplo</WORD>
<WORD coords="1098,2663,1496,2599,2655">antecedente</WORD>
<WORD coords="1581,2664,1635,2606,2662">al</WORD>
<WORD coords="1683,2668,1876,2622,2666">restar</WORD>
<WORD coords="1931,2672,1986,2616,2671">el</WORD>
<WORD coords="2013,2674,2049,2622,2674">6</WORD>
<WORD coords="2079,2674,2174,2617,2673">del</WORD>
<WORD coords="2205,2674,2245,2622,2674">4</WORD>
<WORD coords="2274,2678,2381,2618,2677">he-</WORD>
</LINE>
<LINE>
<WORD coords="47,2728,182,2688,2727">mos</WORD>
<WORD coords="236,2737,503,2681,2734">añadido</WORD>
<WORD coords="563,2746,706,2687,2742">diez</WORD>
<WORD coords="755,2747,810,2694,2746">al</WORD>
<WORD coords="856,2750,896,2698,2754">4</WORD>
<WORD coords="923,2771,964,2716,2764">y</WORD>
<WORD coords="1021,2754,1109,2699,2753">los</WORD>
<WORD coords="1171,2759,1282,2702,2758">dos</WORD>
<WORD coords="1346,2765,1517,2727,2763">ceros</WORD>
<WORD coords="1599,2787,1716,2734,2771">que</WORD>
<WORD coords="1773,2794,2037,2720,2775">siguen,</WORD>
<WORD coords="2090,2780,2179,2723,2779">ios</WORD>
<WORD coords="2266,2781,2377,2725,2781">he-</WORD>
</LINE>
<LINE>
<WORD coords="44,2832,177,2792,2831">mos</WORD>
<WORD coords="232,2846,634,2787,2839">considerado</WORD>
<WORD coords="686,2853,860,2813,2851">como</WORD>
<WORD coords="914,2878,1180,2820,2858">nueves,</WORD>
<WORD coords="1254,2884,1296,2828,2876">y</WORD>
<WORD coords="1337,2867,1398,2832,2866">se</WORD>
<WORD coords="1459,2872,1537,2813,2872">ha</WORD>
<WORD coords="1591,2899,1887,2820,2876">rebajado</WORD>
<WORD coords="1961,2884,2074,2846,2883">una</WORD>
<WORD coords="2141,2885,2376,2827,2883">unidad</WORD>
</LINE>
<LINE>
<WORD coords="39,2936,138,2879,2934">del</WORD>
<WORD coords="207,2939,241,2892,2958">8</WORD>
<WORD coords="270,2959,289,2912,2963">;</WORD>
<WORD coords="347,2945,400,2889,2943">la</WORD>
<WORD coords="449,2951,635,2911,2948">razón</WORD>
<WORD coords="680,2956,754,2899,2954">de</WORD>
<WORD coords="813,2960,944,2915,2958">esto</WORD>
<WORD coords="999,2964,1066,2927,2963">es</WORD>
<WORD coords="1100,2981,1117,2954,2981">,</WORD>
<WORD coords="1197,2986,1307,2932,2969">por</WORD>
<WORD coords="1364,2993,1484,2938,2975">que</WORD>
<WORD coords="1546,2996,1689,2940,2980">para</WORD>
<WORD coords="1748,3004,2020,2928,2985">ejecutar</WORD>
<WORD coords="2077,2987,2131,2933,2986">la</WORD>
<WORD coords="2190,3010,2377,2946,2986">resta,</WORD>
</LINE>
<LINE>
<WORD coords="34,3041,171,2986,3038">solo</WORD>
<WORD coords="224,3054,630,3006,3048">necesitamos</WORD>
<WORD coords="683,3063,900,3007,3061">añadir</WORD>
<WORD coords="957,3070,1073,3031,3068">una</WORD>
<WORD coords="1117,3080,1351,3018,3075">decena</WORD>
<WORD coords="1400,3082,1457,3026,3081">al</WORD>
<WORD coords="1508,3101,1819,3029,3084">guarismo</WORD>
<WORD coords="1874,3091,2086,3054,3090">menor</WORD>
<WORD coords="2117,3093,2131,3056,3093">:</WORD>
<WORD coords="2170,3095,2374,3047,3092">tome-</WORD>
</LINE>
<LINE>
<WORD coords="32,3144,167,3103,3143">mos</WORD>
<WORD coords="205,3158,220,3134,3167">,</WORD>
<WORD coords="284,3167,434,3114,3152">pues</WORD>
<WORD coords="469,3174,486,3143,3175">,</WORD>
<WORD coords="571,3161,668,3104,3160">del</WORD>
<WORD coords="752,3186,1063,3114,3169">guarismo</WORD>
<WORD coords="1109,3177,1143,3129,3177">8</WORD>
<WORD coords="1231,3182,1346,3146,3181">una</WORD>
<WORD coords="1408,3188,1636,3130,3186">unidad</WORD>
<WORD coords="1665,3204,1681,3176,3196">,</WORD>
<WORD coords="1726,3189,1781,3134,3188">la</WORD>
<WORD coords="1861,3213,1978,3159,3195">que</WORD>
<WORD coords="2039,3214,2149,3159,3195">por</WORD>
<WORD coords="2202,3199,2368,3153,3197">estar</WORD>
</LINE>
<LINE>
<WORD coords="24,3248,101,3210,3246">«n</WORD>
<WORD coords="159,3252,278,3199,3234">4.o</WORD>
<WORD coords="330,3254,346,3201,3254">l</WORD>
<WORD coords="356,3256,388,3222,3256">U</WORD>
<WORD coords="396,3278,436,3222,3278">g</WORD>
<WORD coords="440,3260,504,3223,3259">ar</WORD>
<WORD coords="556,3284,832,3225,3266">respecto</WORD>
<WORD coords="872,3275,969,3219,3274">del</WORD>
<WORD coords="1000,3279,1041,3227,3279">4</WORD>
<WORD coords="1069,3292,1087,3266,3289">,</WORD>
<WORD coords="1140,3286,1348,3229,3283">valdrá</WORD>
<WORD coords="1377,3314,1516,3234,3314">[26J</WORD>
<WORD coords="1564,3293,1669,3239,3293">mil</WORD>
<WORD coords="1725,3297,1764,3241,3297">ó</WORD>
<WORD coords="1822,3302,1966,3242,3299">diez</WORD>
<WORD coords="2011,3324,2350,3258,3303">centenas;</WORD>
</LINE>
<LINE>
<WORD coords="22,3373,301,3298,3354">dejemos</WORD>
<WORD coords="353,3359,391,3308,3373">9</WORD>
<WORD coords="441,3371,723,3323,3367">centenas</WORD>
<WORD coords="781,3376,854,3339,3375">en</WORD>
<WORD coords="897,3380,968,3344,3378">su</WORD>
<WORD coords="1019,3390,1300,3331,3385">columna</WORD>
<WORD coords="1355,3411,1691,3341,3393">respectiva</WORD>
<WORD coords="1721,3416,1740,3385,3416">,</WORD>
<WORD coords="1794,3419,1903,3364,3402">por</WORD>
<WORD coords="1975,3410,2053,3370,3408">no</WORD>
<WORD coords="2113,3418,2348,3363,3414">necesi-</WORD>
</LINE>
<LINE>
<WORD coords="22,3462,205,3407,3459">tarlas</WORD>
<WORD coords="237,3477,253,3452,3484">,</WORD>
<WORD coords="312,3486,351,3432,3489">y</WORD>
<WORD coords="400,3479,693,3414,3473">llevemos</WORD>
<WORD coords="740,3485,856,3447,3483">una</WORD>
<WORD coords="930,3491,1178,3447,3488">centena</WORD>
<WORD coords="1210,3499,1229,3461,3497">;</WORD>
<WORD coords="1273,3495,1349,3440,3494">de</WORD>
<WORD coords="1398,3497,1524,3453,3496">esta</WORD>
<WORD coords="1574,3523,1919,3447,3503">rebajemos</WORD>
<WORD coords="1983,3513,2056,3464,3512">10</WORD>
<WORD coords="2110,3537,2152,3478,3537">y</WORD>
<WORD coords="2203,3539,2355,3485,3523">que-</WORD>
</LINE>
<LINE>
<WORD coords="20,3565,205,3506,3562">daran</WORD>
<WORD coords="255,3568,293,3518,3584">9</WORD>
<WORD coords="337,3596,643,3516,3575">decenas,</WORD>
<WORD coords="674,3601,791,3549,3585">que</WORD>
<WORD coords="845,3595,1112,3537,3591">también</WORD>
<WORD coords="1156,3598,1242,3545,3596">las</WORD>
<WORD coords="1293,3616,1659,3548,3603">pondremos</WORD>
<WORD coords="1718,3609,1791,3574,3609">en</WORD>
<WORD coords="1851,3610,1905,3557,3610">la</WORD>
<WORD coords="1959,3626,2236,3568,3621">columna</WORD>
<WORD coords="2273,3635,2349,3579,3633">de</WORD>
</LINE>
<LINE>
<WORD coords="12,3672,271,3610,3668">decenas</WORD>
<WORD coords="310,3691,327,3663,3697">,</WORD>
<WORD coords="376,3694,412,3641,3698">y</WORD>
<WORD coords="474,3681,564,3624,3681">bs</WORD>
<WORD coords="618,3685,692,3637,3691">10</WORD>
<WORD coords="748,3717,1176,3652,3695">agregaremos</WORD>
<WORD coords="1249,3703,1305,3649,3703">al</WORD>
<WORD coords="1349,3727,1661,3652,3708">guarismo</WORD>
<WORD coords="1717,3726,1799,3664,3722">4;</WORD>
<WORD coords="1858,3743,2036,3661,3717">luego</WORD>
<WORD coords="2096,3729,2167,3693,3727">en</WORD>
<WORD coords="2229,3739,2348,3698,3735">vez</WORD>
<WORD coords="2407,3672,2427,3639,3672">?</WORD>
</LINE>
<LINE>
<WORD coords="14,3770,91,3716,3770">de</WORD>
<WORD coords="150,3798,405,3725,3780">escribir</WORD>
<WORD coords="450,3785,541,3729,3784">los</WORD>
<WORD coords="599,3801,830,3752,3793">nueves</WORD>
<WORD coords="888,3799,960,3764,3798">en</WORD>
<WORD coords="1033,3805,1122,3749,3804">los</WORD>
<WORD coords="1149,3800,1156,3791,3810">.</WORD>
<WORD coords="1179,3832,1422,3753,3810">lugares</WORD>
<WORD coords="1482,3816,1559,3759,3815">de</WORD>
<WORD coords="1610,3819,1699,3764,3817">los</WORD>
<WORD coords="1759,3823,1934,3784,3821">ceros</WORD>
<WORD coords="1967,3841,1984,3812,3841">,</WORD>
<WORD coords="2046,3847,2343,3778,3837">podemos</WORD>
</LINE>
<LINE>
<WORD coords="12,3885,343,3831,3880">ntenerlos</WORD>
<WORD coords="400,3889,470,3852,3889">en</WORD>
<WORD coords="521,3894,577,3837,3892">la</WORD>
<WORD coords="637,3905,932,3848,3900">memoria</WORD>
<WORD coords="964,3922,982,3894,3917">,</WORD>
<WORD coords="1029,3913,1207,3872,3910">como</WORD>
<WORD coords="1256,3914,1313,3860,3914">lo</WORD>
<WORD coords="1355,3920,1572,3860,3917">hemos</WORD>
<WORD coords="1621,3928,1837,3865,3924">hecho.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="175,4014,271,3936,4014">H</WORD>
<WORD coords="360,4000,462,3937,3998">De</WORD>
<WORD coords="511,4003,575,3942,4001">la</WORD>
<WORD coords="625,4015,1007,3954,4008">sustracción</WORD>
<WORD coords="1055,4017,1121,3979,4016">se</WORD>
<WORD coords="1179,4022,1286,3982,4021">usa</WORD>
<WORD coords="1313,4041,1335,4007,4030">,</WORD>
<WORD coords="1383,4030,1622,3970,4027">cuando</WORD>
<WORD coords="1676,4033,1743,3993,4032">se</WORD>
<WORD coords="1786,4061,2082,3983,4038">averigua</WORD>
<WORD coords="2135,4048,2189,3989,4046">la</WORD>
<WORD coords="2239,4050,2334,3993,4050">di-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0035.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0036.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0036.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="824,730,1098,660,721">fcrencia</WORD>
<WORD coords="1140,732,1260,674,715">que</WORD>
<WORD coords="1316,728,1438,654,711">hay</WORD>
<WORD coords="1490,706,1658,658,704">entre</WORD>
<WORD coords="1716,700,1828,642,698">dos</WORD>
<WORD coords="1888,698,2176,634,692">aceros</WORD>
<WORD coords="2208,704,2230,652,699">;</WORD>
<WORD coords="2284,686,2342,648,686">v.</WORD>
<WORD coords="2402,704,2442,642,699">g</WORD>
<WORD coords="2518,682,2580,620,688">&amp;</WORD>
<WORD coords="2636,696,2754,636,677">que</WORD>
<WORD coords="2802,692,2926,616,674">hay</WORD>
<WORD coords="2984,670,3160,622,668">entre</WORD>
</LINE>
<LINE>
<WORD coords="826,828,948,786,824">una</WORD>
<WORD coords="982,822,1186,762,820">deuda</WORD>
<WORD coords="1232,820,1270,780,820">v</WORD>
<WORD coords="1326,820,1410,778,818">un</WORD>
<WORD coords="1462,830,1616,772,808">pag.»</WORD>
<WORD coords="1648,812,1664,774,809">;</WORD>
<WORD coords="1702,806,1876,760,802">entre,</WORD>
<WORD coords="1924,798,1978,744,797">el</WORD>
<WORD coords="2028,796,2286,756,793">numero</WORD>
<WORD coords="2340,790,2416,734,789">de</WORD>
<WORD coords="2478,788,2630,732,784">años</WORD>
<WORD coords="2696,778,2774,742,778">en</WORD>
<WORD coords="2820,796,2932,742,777">que</WORD>
<WORD coords="2994,772,3176,734,770">suce-</WORD>
</LINE>
<LINE>
<WORD coords="832,932,948,870,928">dió,</WORD>
<WORD coords="1002,926,1084,888,925">un</WORD>
<WORD coords="1124,924,1334,864,921">hecho</WORD>
<WORD coords="1386,938,1424,878,927">y</WORD>
<WORD coords="1474,916,1532,858,915">el</WORD>
<WORD coords="1586,912,1702,858,910">año</WORD>
<WORD coords="1758,908,1834,870,907">en</WORD>
<WORD coords="1880,922,1998,868,903">que</WORD>
<WORD coords="2070,900,2180,864,898">nos</WORD>
<WORD coords="2226,902,2558,838,896">hallamos.</WORD>
<WORD coords="2650,908,2938,832,891">Ejemfiia.</WORD>
<WORD coords="3036,878,3184,822,873">üou</WORD>
</LINE>
<LINE>
<WORD coords="844,1040,1180,966,1031">Francisco</WORD>
<WORD coords="1244,1028,1498,970,1023">Pizarro</WORD>
<WORD coords="1550,1020,1664,980,1019">con</WORD>
<WORD coords="1716,1016,1818,976,1014">sus</WORD>
<WORD coords="1884,1014,1924,958,1011">4</WORD>
<WORD coords="1970,1008,2302,952,1003">hermanos</WORD>
<WORD coords="2346,1020,2390,948,1013">y</WORD>
<WORD coords="2444,998,2584,942,997">Don</WORD>
<WORD coords="2648,1008,2856,936,991">Diego</WORD>
<WORD coords="2916,984,2992,930,983">de</WORD>
<WORD coords="3062,980,3178,924,978">Al-</WORD>
</LINE>
<LINE>
<WORD coords="842,1156,1068,1066,1135">magró</WORD>
<WORD coords="1116,1132,1398,1086,1129">entraron</WORD>
<WORD coords="1454,1128,1486,1090,1128">a</WORD>
<WORD coords="1518,1140,1874,1062,1119">conquistar</WORD>
<WORD coords="1930,1116,1984,1058,1114">el</WORD>
<WORD coords="2038,1112,2198,1052,1108">Pevü</WORD>
<WORD coords="2242,1106,2314,1072,1106">en</WORD>
<WORD coords="2356,1104,2408,1050,1104">el</WORD>
<WORD coords="2476,1104,2592,1048,1103">año</WORD>
<WORD coords="2640,1100,2712,1038,1100">de</WORD>
<WORD coords="2770,1096,2916,1040,1086">1531</WORD>
<WORD coords="2916,1112,3024,1038,1112">&quot;f</WORD>
<WORD coords="3030,1088,3154,1030,1084">Gar</WORD>
<WORD coords="3142,1148,3182,1060,1148">;</WORD>
</LINE>
<LINE>
<WORD coords="842,1248,946,1188,1241">al.</WORD>
<WORD coords="1010,1242,1060,1182,1242">L</WORD>
<WORD coords="1132,1238,1186,1184,1237">9.</WORD>
<WORD coords="1256,1238,1320,1180,1238">C.</WORD>
<WORD coords="1400,1248,1554,1174,1248">14J</WORD>
<WORD coords="1588,1252,1606,1200,1240">;</WORD>
<WORD coords="1674,1228,1738,1190,1227">se</WORD>
<WORD coords="1820,1242,2120,1172,1219">pregunta</WORD>
<WORD coords="2180,1194,2194,1180,1194">-</WORD>
<WORD coords="2176,1238,2196,1200,1238">(</WORD>
<WORD coords="2224,1212,2476,1166,1210">cuantos</WORD>
<WORD coords="2538,1206,2686,1154,1204">años</WORD>
<WORD coords="2752,1202,2872,1144,1199">han</WORD>
<WORD coords="2940,1194,3212,1134,1192">corrido&apos;</WORD>
</LINE>
<LINE>
<WORD coords="850,1362,1028,1230,1350">h^ta</WORD>
<WORD coords="1068,1346,1122,1288,1345">el</WORD>
<WORD coords="1178,1362,1458,1292,1339">presente</WORD>
<WORD coords="1506,1336,1604,1222,1336">de&apos;</WORD>
<WORD coords="1648,1336,1804,1254,1335">iM</WORD>
<WORD coords="1832,1328,1854,1272,1327">?</WORD>
<WORD coords="1950,1326,2068,1268,1324">Del</WORD>
<WORD coords="2114,1322,2228,1268,1321">año</WORD>
<WORD coords="2270,1338,2546,1270,1313">presente</WORD>
<WORD coords="2580,1310,2808,1248,1309">restaré</WORD>
<WORD coords="2854,1304,2910,1248,1303">el</WORD>
<WORD coords="2948,1302,3072,1240,1300">afeo,</WORD>
<WORD coords="3096,1298,3174,1240,1297">de</WORD>
</LINE>
<LINE>
<WORD coords="856,1460,1010,1404,1460">J531</WORD>
<WORD coords="1042,1472,1062,1440,1462">,</WORD>
<WORD coords="1114,1452,1166,1394,1452">la</WORD>
<WORD coords="1222,1448,1562,1380,1444">diferencia</WORD>
<WORD coords="1616,1438,1726,1388,1437">301</WORD>
<WORD coords="1774,1436,1884,1396,1434">son</WORD>
<WORD coords="1928,1432,2020,1376,1430">los</WORD>
<WORD coords="2066,1430,2214,1372,1426">años</WORD>
<WORD coords="2268,1424,2570,1362,1420">corridos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1142,1570,1694,1468,1552">pPEHACtÓN</WORD>
<WORD coords="1750,1542,1870,1484,1541">DS</WORD>
<WORD coords="1926,1538,2298,1472,1533">DIVIDIR</WORD>
<WORD coords="2356,1526,2418,1470,1526">O</WORD>
<WORD coords="2474,1524,2920,1456,1519">DIVISION.</WORD>
</LINE>
<LINE>
<WORD coords="1024,1670,1122,1614,1666">62.</WORD>
<WORD coords="1220,1662,1478,1600,1657">Dividir</WORD>
<WORD coords="1524,1654,1556,1614,1654">o</WORD>
<WORD coords="1606,1672,1818,1596,1646">partir</WORD>
<WORD coords="1868,1648,1932,1608,1646">es</WORD>
<WORD coords="1976,1660,2312,1584,1639">averiguar</WORD>
<WORD coords="2356,1634,2606,1584,1630">cuantas</WORD>
<WORD coords="2654,1628,2824,1586,1623">veces</WORD>
<WORD coords="2868,1620,2950,1580,1619">un</WORD>
<WORD coords="2996,1616,3194,1572,1613">ñame,</WORD>
</LINE>
<LINE>
<WORD coords="880,1780,950,1734,1778">to</WORD>
<WORD coords="1000,1772,1272,1712,1769">contiene</WORD>
<WORD coords="1320,1764,1358,1728,1764">a</WORD>
<WORD coords="1388,1762,1518,1714,1761">otro</WORD>
<WORD coords="1544,1766,1566,1724,1766">i</WORD>
<WORD coords="1598,1758,1684,1698,1756">asi</WORD>
<WORD coords="1734,1756,1784,1700,1755">si</WORD>
<WORD coords="1830,1770,2050,1694,1750">quiero</WORD>
<WORD coords="2096,1746,2328,1686,1742">dividir</WORD>
<WORD coords="2372,1738,2414,1690,1741">&amp;</WORD>
<WORD coords="2458,1750,2562,1698,1735">por</WORD>
<WORD coords="2596,1734,2636,1684,1739">4</WORD>
<WORD coords="2662,1746,2680,1720,1745">,</WORD>
<WORD coords="2722,1730,2982,1664,1724">buscaré</WORD>
<WORD coords="3028,1718,3208,1678,1717">cha-</WORD>
</LINE>
<LINE>
<WORD coords="864,1884,962,1834,1881">tas</WORD>
<WORD coords="1016,1876,1200,1836,1874">veces,</WORD>
<WORD coords="1242,1872,1522,1814,1866">contiene</WORD>
<WORD coords="1570,1862,1624,1808,1861">el</WORD>
<WORD coords="1668,1860,1702,1812,1859">8</WORD>
<WORD coords="1752,1858,1806,1804,1857">al</WORD>
<WORD coords="1846,1860,1886,1806,1860">4</WORD>
<WORD coords="1918,1874,2002,1816,1866">,y</WORD>
<WORD coords="2054,1852,2288,1794,1848">hallaré</WORD>
<WORD coords="2336,1862,2454,1806,1844">que</WORD>
<WORD coords="2510,1840,2566,1786,1839">le</WORD>
<WORD coords="2620,1836,2896,1778,1832">contiene</WORD>
<WORD coords="2938,1826,2974,1778,1837">2</WORD>
<WORD coords="3008,1834,3202,1782,1821">veces;</WORD>
</LINE>
<LINE>
<WORD coords="870,1988,928,1930,1988">la</WORD>
<WORD coords="984,2000,1314,1922,1979">operación</WORD>
<WORD coords="1364,1994,1476,1932,1972">por</WORD>
<WORD coords="1546,1972,1760,1910,1968">medio</WORD>
<WORD coords="1808,1964,1884,1908,1963">de</WORD>
<WORD coords="1938,1958,2000,1904,1958">la</WORD>
<WORD coords="2052,1958,2188,1898,1957">cual</WORD>
<WORD coords="2246,1952,2308,1914,1951">se</WORD>
<WORD coords="2364,1970,2602,1892,1945">ejecuta</WORD>
<WORD coords="2662,1940,2790,1898,1938">esto</WORD>
<WORD coords="2824,1950,2842,1922,1952">,</WORD>
<WORD coords="2916,1930,2980,1894,1929">se</WORD>
<WORD coords="3038,1926,3226,1874,1925">llama</WORD>
</LINE>
<LINE>
<WORD coords="884,2100,1204,2032,2090">Vwision.</WORD>
<WORD coords="1296,2080,1372,2024,2080">El</WORD>
<WORD coords="1426,2078,1688,2036,2075">numero</WORD>
<WORD coords="1742,2086,1862,2030,2068">que</WORD>
<WORD coords="1942,2062,2224,2004,2059">contiene</WORD>
<WORD coords="2278,2054,2330,1986,2052">ál</WORD>
<WORD coords="2384,2050,2518,2010,2049">otro</WORD>
<WORD coords="2578,2048,2622,2012,2048">o</WORD>
<WORD coords="2668,2046,2720,1994,2046">el</WORD>
<WORD coords="2780,2042,3034,2000,2040">numero</WORD>
<WORD coords="3088,2052,3204,1994,2033">que</WORD>
</LINE>
<LINE>
<WORD coords="884,2200,952,2158,2199">se</WORD>
<WORD coords="1000,2194,1078,2138,2194">ha</WORD>
<WORD coords="1158,2192,1236,2132,2192">dé</WORD>
<WORD coords="1300,2186,1536,2124,2182">dividir</WORD>
<WORD coords="1566,2194,1584,2166,2187">,</WORD>
<WORD coords="1638,2180,1704,2140,2178">se</WORD>
<WORD coords="1756,2174,1946,2118,2172">llama</WORD>
<WORD coords="2016,2166,2358,2104,2162">Dividendo</WORD>
<WORD coords="2394,2158,2408,2122,2161">:</WORD>
<WORD coords="2470,2156,2536,2098,2155">el</WORD>
<WORD coords="2582,2154,2838,2112,2150">numero</WORD>
<WORD coords="2894,2166,3010,2110,2147">que</WORD>
<WORD coords="3076,2140,3208,2100,2139">esta</WORD>
</LINE>
<LINE>
<WORD coords="884,2308,1216,2240,2300">contenido</WORD>
<WORD coords="1260,2294,1298,2238,2294">ó</WORD>
<WORD coords="1350,2308,1530,2230,2289">aquel</WORD>
<WORD coords="1578,2304,1688,2244,2283">por</WORD>
<WORD coords="1726,2298,1914,2220,2277">quien</WORD>
<WORD coords="1970,2272,2034,2236,2272">se</WORD>
<WORD coords="2074,2270,2154,2212,2269">ha</WORD>
<WORD coords="2198,2266,2274,2212,2266">de</WORD>
<WORD coords="2326,2284,2512,2206,2260">partir</WORD>
<WORD coords="2546,2272,2562,2246,2271">,</WORD>
<WORD coords="2608,2256,2670,2222,2256">se</WORD>
<WORD coords="2722,2254,2858,2198,2252">dice</WORD>
<WORD coords="2934,2252,3220,2190,2246">Divisor,</WORD>
</LINE>
<LINE>
<WORD coords="894,2414,962,2354,2411">el&apos;</WORD>
<WORD coords="1006,2406,1264,2362,2404">numero</WORD>
<WORD coords="1322,2416,1442,2358,2396">que</WORD>
<WORD coords="1498,2408,1740,2348,2388">espresa</WORD>
<WORD coords="1792,2382,1882,2328,2381">las</WORD>
<WORD coords="1924,2380,2104,2340,2377">veces</WORD>
<WORD coords="2162,2390,2280,2336,2371">que</WORD>
<WORD coords="2322,2368,2378,2314,2368">el</WORD>
<WORD coords="2436,2366,2786,2304,2361">dividendo</WORD>
<WORD coords="2836,2358,3112,2312,2354">contiene</WORD>
<WORD coords="3170,2354,3230,2298,2354">al</WORD>
</LINE>
<LINE>
<WORD coords="894,2526,1184,2456,2511">divisor,</WORD>
<WORD coords="1242,2506,1306,2468,2504">se</WORD>
<WORD coords="1360,2502,1498,2444,2499">dice</WORD>
<WORD coords="1548,2500,1732,2438,2494">Cueto</WORD>
<WORD coords="1786,2488,1824,2432,2487">ó</WORD>
<WORD coords="1890,2486,2164,2426,2481">Cociente</WORD>
<WORD coords="2188,2482,2208,2440,2481">;</WORD>
<WORD coords="2248,2474,2302,2420,2474">el</WORD>
<WORD coords="2346,2474,2684,2412,2468">dividendo</WORD>
<WORD coords="2718,2484,2752,2428,2482">y</WORD>
<WORD coords="2810,2462,3044,2406,2459">d.visor</WORD>
<WORD coords="3088,2480,3230,2404,2458">jun,</WORD>
</LINE>
<LINE>
<WORD coords="912,2622,1012,2574,2619">tos</WORD>
<WORD coords="1066,2616,1132,2578,2616">se</WORD>
<WORD coords="1190,2612,1410,2556,2610">llaman</WORD>
<WORD coords="1478,2604,1798,2540,2599">Terminen</WORD>
<WORD coords="1854,2592,1928,2536,2591">de</WORD>
<WORD coords="1976,2586,2042,2532,2586">la</WORD>
<WORD coords="2094,2584,2380,2524,2580">división.</WORD>
<WORD coords="2446,2574,2540,2518,2573">En</WORD>
<WORD coords="2592,2570,2718,2526,2569">esta</WORD>
<WORD coords="2776,2582,3104,2508,2563">operación</WORD>
<WORD coords="3150,2564,3238,2524,2564">m.</WORD>
</LINE>
<LINE>
<WORD coords="904,2730,1128,2656,2722">dica&apos;da</WORD>
<WORD coords="1158,2718,1256,2654,2700">&apos;8&lt;:</WORD>
<WORD coords="1282,2714,1356,2648,2714">M</WORD>
<WORD coords="1406,2714,1444,2656,2711">ó</WORD>
<WORD coords="1498,2708,1558,2648,2707">1¿&gt;</WORD>
<WORD coords="1602,2722,1734,2660,2702">&apos;que</WORD>
<WORD coords="1774,2698,1840,2662,2697">es</WORD>
<WORD coords="1878,2696,1942,2638,2695">lo</WORD>
<WORD coords="1994,2692,2216,2634,2688">mismo</WORD>
<WORD coords="2276,2682,2308,2638,2687">8</WORD>
<WORD coords="2340,2690,2446,2650,2691">=</WORD>
<WORD coords="2470,2680,2504,2630,2686">2</WORD>
<WORD coords="2540,2694,2558,2666,2693">,</WORD>
<WORD coords="2586,2676,2640,2618,2676">el</WORD>
<WORD coords="2674,2676,2714,2624,2681">8,</WORD>
<WORD coords="2754,2674,2818,2636,2673">es</WORD>
<WORD coords="2870,2672,2924,2616,2671">el</WORD>
<WORD coords="2958,2670,3244,2606,2668">dividen-</WORD>
</LINE>
<LINE>
<WORD coords="908,2846,1014,2772,2830">do,</WORD>
<WORD coords="1048,2828,1110,2770,2824">él</WORD>
<WORD coords="1138,2824,1180,2772,2823">4</WORD>
<WORD coords="1212,2822,1268,2764,2821">el</WORD>
<WORD coords="1300,2818,1536,2760,2814">divisor</WORD>
<WORD coords="1562,2834,1602,2774,2823">y</WORD>
<WORD coords="1630,2812,1680,2756,2812">e!</WORD>
<WORD coords="1710,2808,1746,2758,2809">2</WORD>
<WORD coords="1780,2804,1834,2748,2803">el</WORD>
<WORD coords="1868,2806,2160,2742,2798">cociente.</WORD>
<WORD coords="2274,2790,2314,2740,2790">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1078,2932,1158,2878,2928">63</WORD>
<WORD coords="1270,2924,1694,2860,2920">Observación.</WORD>
<WORD coords="1788,2908,1940,2852,2906">Para</WORD>
<WORD coords="1986,2902,2162,2846,2900">saber</WORD>
<WORD coords="2192,2898,2438,2850,2894">cuantas</WORD>
<WORD coords="2472,2890,2656,2848,2889">vece*</WORD>
<WORD coords="2706,2886,2786,2846,2885">un</WORD>
<WORD coords="2818,2882,3072,2840,2878">numero</WORD>
<WORD coords="3108,2874,3252,2836,2871">con.</WORD>
</LINE>
<LINE>
<WORD coords="912,3044,1080,2984,3042">tkne</WORD>
<WORD coords="1136,3036,1168,2984,3036">á</WORD>
<WORD coords="1228,3044,1406,2986,3030">otro,</WORD>
<WORD coords="1454,3024,1514,2986,3024">v.</WORD>
<WORD coords="1576,3040,1636,2984,3026">g.</WORD>
<WORD coords="1690,3016,1746,2960,3015">el</WORD>
<WORD coords="1788,3014,1820,2964,3012">8</WORD>
<WORD coords="1868,3010,1922,2954,3009">el</WORD>
<WORD coords="1974,3020,2052,2960,3012">4,</WORD>
<WORD coords="2100,3002,2160,2948,3002">lo</WORD>
<WORD coords="2204,3000,2330,2962,2998">mas</WORD>
<WORD coords="2392,2994,2574,2938,2992">obvio</WORD>
<WORD coords="2632,3010,2672,2952,3007">y</WORD>
<WORD coords="2718,2988,2952,2928,2984">natural</WORD>
<WORD coords="2996,2982,3128,2944,2980">sera</WORD>
<WORD coords="3160,2978,3252,2940,2977">sa-</WORD>
</LINE>
<LINE>
<WORD coords="922,3148,1028,3108,3146">car</WORD>
<WORD coords="1078,3144,1120,3084,3142">ó</WORD>
<WORD coords="1158,3140,1352,3092,3136">restar</WORD>
<WORD coords="1398,3132,1650,3082,3127">cuantas</WORD>
<WORD coords="1704,3122,1882,3082,3118">veces</WORD>
<WORD coords="1940,3114,2004,3076,3113">se</WORD>
<WORD coords="2064,3124,2270,3050,3106">pueda</WORD>
<WORD coords="2308,3104,2362,3046,3102">el</WORD>
<WORD coords="2396,3104,2434,3052,3107">4</WORD>
<WORD coords="2478,3098,2576,3042,3098">del</WORD>
<WORD coords="2628,3096,2662,3048,3103">8</WORD>
<WORD coords="2724,3092,2798,3038,3092">de</WORD>
<WORD coords="2858,3090,2984,3044,3089">este</WORD>
<WORD coords="3044,3088,3262,3028,3085">triodo!</WORD>
</LINE>
<LINE>
<WORD coords="928,3254,966,3202,3247">8</WORD>
<WORD coords="994,3240,1074,3226,3240">-</WORD>
<WORD coords="1102,3246,1142,3196,3239">4</WORD>
<WORD coords="1172,3232,1272,3204,3230">~~</WORD>
<WORD coords="1298,3240,1336,3188,3240">4</WORD>
<WORD coords="1368,3250,1384,3224,3244">,</WORD>
<WORD coords="1416,3238,1536,3196,3235">una</WORD>
<WORD coords="1564,3230,1680,3192,3230">vez</WORD>
<WORD coords="1712,3242,1730,3194,3234">;</WORD>
<WORD coords="1772,3226,1814,3174,3220">4</WORD>
<WORD coords="1838,3212,1910,3198,3213">-</WORD>
<WORD coords="1942,3218,1980,3170,3217">4</WORD>
<WORD coords="2006,3216,2112,3162,3216">BS</WORD>
<WORD coords="2214,3226,2232,3198,3219">,</WORD>
<WORD coords="2304,3226,2338,3172,3222">y</WORD>
<WORD coords="2392,3206,2568,3166,3203">como</WORD>
<WORD coords="2612,3200,2674,3164,3200">se</WORD>
<WORD coords="2726,3198,2806,3140,3197">ha</WORD>
<WORD coords="2856,3194,3096,3134,3190">restado</WORD>
<WORD coords="3146,3188,3262,3132,3187">doa</WORD>
</LINE>
<LINE>
<WORD coords="932,3360,1122,3314,3355">veces</WORD>
<WORD coords="1156,3366,1174,3336,3356">,</WORD>
<WORD coords="1230,3346,1502,3290,3342">diremos</WORD>
<WORD coords="1548,3354,1664,3298,3335">que</WORD>
<WORD coords="1738,3328,1792,3272,3328">el</WORD>
<WORD coords="1852,3326,1886,3276,3324">8</WORD>
<WORD coords="1946,3322,2224,3268,3319">contiene</WORD>
<WORD coords="2282,3314,2336,3258,3313">al</WORD>
<WORD coords="2374,3312,2414,3262,3313">4</WORD>
<WORD coords="2468,3308,2580,3252,3307">dos</WORD>
<WORD coords="2640,3304,2840,3266,3302">veces.</WORD>
<WORD coords="2930,3298,3128,3242,3294">Como</WORD>
<WORD coords="3164,3292,3260,3254,3292">es,</WORD>
</LINE>
<LINE>
<WORD coords="932,3464,1004,3412,3464">te</WORD>
<WORD coords="1044,3458,1268,3398,3454">mismo</WORD>
<WORD coords="1296,3448,1360,3410,3448">se</WORD>
<WORD coords="1408,3446,1562,3388,3443">hace</WORD>
<WORD coords="1614,3458,1722,3398,3436">por</WORD>
<WORD coords="1766,3432,1826,3378,3431">la</WORD>
<WORD coords="1870,3428,2144,3370,3424">división</WORD>
<WORD coords="2180,3436,2198,3408,3428">,</WORD>
<WORD coords="2262,3418,2324,3382,3418">se</WORD>
<WORD coords="2372,3424,2650,3360,3412">deduce,</WORD>
<WORD coords="2708,3424,2824,3370,3405">que</WORD>
<WORD coords="2884,3400,2938,3346,3399">la</WORD>
<WORD coords="2998,3396,3276,3344,3394">dtv.s.oa</WORD>
</LINE>
<LINE>
<WORD coords="950,3568,1020,3526,3564">,e</WORD>
<WORD coords="1066,3562,1294,3502,3559">reduce</WORD>
<WORD coords="1346,3554,1378,3504,3553">á</WORD>
<WORD coords="1430,3552,1486,3496,3551">la</WORD>
<WORD coords="1540,3566,1870,3484,3540">operación</WORD>
<WORD coords="1912,3534,1988,3478,3534">de</WORD>
<WORD coords="2042,3540,2274,3484,3527">restar,</WORD>
<WORD coords="2320,3524,2774,3456,3514">considerando,</WORD>
<WORD coords="2814,3508,2870,3448,3506">al</WORD>
<WORD coords="2930,3504,3282,3442,3499">dividendo-</WORD>
</LINE>
<LINE>
<WORD coords="952,3672,1028,3628,3672">W</WORD>
<WORD coords="1036,3668,1138,3628,3666">mo</WORD>
<WORD coords="1172,3662,1508,3598,3658">minuendo</WORD>
<WORD coords="1544,3664,1560,3636,3656">,</WORD>
<WORD coords="1604,3648,1658,3592,3647">al</WORD>
<WORD coords="1712,3644,1946,3584,3640">divisor</WORD>
<WORD coords="1996,3634,2174,3594,3631">como</WORD>
<WORD coords="2216,3628,2620,3562,3620">sustrahendo</WORD>
<WORD coords="2672,3634,2710,3580,3628">y</WORD>
<WORD coords="2768,3612,2822,3558,3612">al</WORD>
<WORD coords="2872,3608,3142,3552,3604">cociente</WORD>
<WORD coords="3174,3600,3198,3566,3600">c</WORD>
<WORD coords="3254,3588,3272,3574,3588">.</WORD>
</LINE>
<LINE>
<WORD coords="950,3782,1062,3726,3778">tep</WORD>
<WORD coords="1104,3768,1162,3712,3767">el</WORD>
<WORD coords="1218,3766,1476,3722,3762">numero</WORD>
<WORD coords="1522,3758,1600,3698,3757">de</WORD>
<WORD coords="1656,3752,1876,3702,3748">restas.</WORD>
<WORD coords="1960,3744,2262,3678,3735">También</WORD>
<WORD coords="2320,3728,2382,3692,3728">se</WORD>
<WORD coords="2432,3726,2642,3666,3723">infiere</WORD>
<WORD coords="2678,3730,2694,3710,3731">,</WORD>
<WORD coords="2722,3734,2838,3680,3716">que</WORD>
<WORD coords="2892,3712,2946,3658,3711">el</WORD>
<WORD coords="2992,3708,3274,3654,3705">dmden-</WORD>
</LINE>
<LINE>
<WORD coords="954,3880,1042,3820,3879">do</WORD>
<WORD coords="1096,3892,1136,3828,3882">y</WORD>
<WORD coords="1186,3872,1426,3810,3866">divisor</WORD>
<WORD coords="1474,3864,1668,3802,3858">deben</WORD>
<WORD coords="1714,3854,1812,3814,3852">ser</WORD>
<WORD coords="1866,3860,2284,3790,3840">homogéneos</WORD>
<WORD coords="2308,3848,2330,3818,3848">,</WORD>
<WORD coords="2362,3850,2508,3792,3829">pues</WORD>
<WORD coords="2554,3826,2612,3772,3826">lo</WORD>
<WORD coords="2664,3824,2772,3784,3822">son</WORD>
<WORD coords="2830,3818,2886,3762,3818">el</WORD>
<WORD coords="2948,3816,3284,3754,3812">rmnuerd©</WORD>
</LINE>
<LINE>
<WORD coords="966,3992,1006,3934,3986">y</WORD>
<WORD coords="1064,3980,1468,3910,3971">sustrahendo</WORD>
<WORD coords="1526,3986,1692,3902,3970">(57).</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1314,4076,1666,4004,4071">ICeoteiBa:</WORD>
<WORD coords="1748,4064,1832,3992,4064">Mi</WORD>
<WORD coords="1866,4062,2198,3988,4057">dividendo:</WORD>
<WORD coords="2236,4080,2320,4000,4066">«;</WORD>
<WORD coords="2340,4070,2550,3980,4049">f*ede-</WORD>
<WORD coords="2570,4038,2938,3972,4034">«omiderer</WORD>
<WORD coords="2980,4028,3170,3972,4026">tmV</WORD>
<WORD coords="3196,4032,3296,3966,4022">t*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0036.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0037.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0037.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1276,552,1424,432,552">á*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="269,677,473,599,674">ódúcio</WORD>
<WORD coords="502,691,518,663,690">,</WORD>
<WORD coords="556,689,735,609,671">alijos</WORD>
<WORD coords="772,694,1049,612,670">fictores</WORD>
<WORD coords="1102,668,1209,631,667">son</WORD>
<WORD coords="1265,667,1318,615,667">el</WORD>
<WORD coords="1359,669,1590,611,667">divisor</WORD>
<WORD coords="1647,687,1687,633,677">y</WORD>
<WORD coords="1738,668,1794,613,667">el</WORD>
<WORD coords="1850,668,2141,613,666">cociente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="348,782,430,707,780">Óí</WORD>
<WORD coords="445,780,821,731,777">mostración.</WORD>
<WORD coords="921,776,997,719,775">El</WORD>
<WORD coords="1052,788,1348,716,771">producto</WORD>
<WORD coords="1406,778,1680,728,772">contiene</WORD>
<WORD coords="1741,775,1935,731,772">tantas</WORD>
<WORD coords="1998,772,2172,734,770">veces</WORD>
<WORD coords="2233,769,2312,733,768">un</WORD>
<WORD coords="2378,766,2502,712,766">&apos;ac-</WORD>
</LINE>
<LINE>
<WORD coords="188,885,285,842,884">tor</WORD>
<WORD coords="333,882,506,848,881">como</WORD>
<WORD coords="558,883,860,827,880">unidades</WORD>
<WORD coords="912,878,1072,823,877">tiene</WORD>
<WORD coords="1129,877,1179,825,876">el</WORD>
<WORD coords="1228,876,1359,835,875">otro</WORD>
<WORD coords="1389,892,1406,867,892">,</WORD>
<WORD coords="1453,893,1604,841,877">pues</WORD>
<WORD coords="1656,879,1879,826,876">resulta</WORD>
<WORD coords="1935,877,2009,822,876">de</WORD>
<WORD coords="2065,875,2265,833,873">tomar</WORD>
<WORD coords="2315,871,2510,830,870">tant&lt;s</WORD>
</LINE>
<LINE>
<WORD coords="178,989,359,951,987">veces</WORD>
<WORD coords="394,986,449,934,986">el</WORD>
<WORD coords="501,1003,971,931,984">multiplicando</WORD>
<WORD coords="1007,982,1180,948,981">como</WORD>
<WORD coords="1213,984,1513,926,980">unidades</WORD>
<WORD coords="1560,982,1717,927,981">tiene</WORD>
<WORD coords="1752,983,1806,932,982">el</WORD>
<WORD coords="1837,998,2288,926,979">mu&apos;tiplicador</WORD>
<WORD coords="2320,1000,2453,922,983">[4-0]</WORD>
<WORD coords="2484,991,2502,943,991">\</WORD>
</LINE>
<LINE>
<WORD coords="189,1111,279,1054,1089">peí</WORD>
<WORD coords="301,1090,335,1058,1090">o</WORD>
<WORD coords="386,1091,441,1036,1090">el</WORD>
<WORD coords="494,1091,835,1034,1089">dividendo</WORD>
<WORD coords="884,1090,1160,1036,1088">contiene</WORD>
<WORD coords="1220,1089,1273,1034,1088">al</WORD>
<WORD coords="1304,1086,1537,1032,1085">divisor</WORD>
<WORD coords="1597,1086,1791,1043,1084">tantas</WORD>
<WORD coords="1847,1087,2024,1052,1085">veces</WORD>
<WORD coords="2050,1101,2068,1077,1094">,</WORD>
<WORD coords="2101,1086,2343,1045,1084">cuantas</WORD>
<WORD coords="2380,1078,2509,1026,1077">uni-</WORD>
</LINE>
<LINE>
<WORD coords="186,1197,376,1141,1194">dades</WORD>
<WORD coords="437,1195,597,1138,1193">tiene</WORD>
<WORD coords="657,1193,708,1142,1192">el</WORD>
<WORD coords="792,1197,1060,1139,1193">cociente</WORD>
<WORD coords="1088,1206,1104,1184,1206">,</WORD>
<WORD coords="1161,1215,1352,1158,1192">según</WORD>
<WORD coords="1431,1192,1489,1139,1191">lo</WORD>
<WORD coords="1548,1197,1812,1131,1194">definido</WORD>
<WORD coords="1846,1206,1860,1160,1206">;</WORD>
<WORD coords="1918,1213,2095,1141,1191">luego</WORD>
<WORD coords="2179,1201,2287,1141,1194">Src,</WORD>
<WORD coords="2380,1206,2513,1141,1200">Co.fl</WORD>
</LINE>
<LINE>
<WORD coords="192,1303,388,1244,1301">tf-cto</WORD>
<WORD coords="421,1315,436,1290,1312">,</WORD>
<WORD coords="488,1310,815,1246,1310">8:4r=&apos;2</WORD>
<WORD coords="849,1314,862,1290,1314">,</WORD>
<WORD coords="920,1321,954,1265,1311">y</WORD>
<WORD coords="1020,1299,1050,1252,1300">8</WORD>
<WORD coords="1224,1300,1251,1286,1300">-</WORD>
<WORD coords="1285,1314,1355,1242,1314">X</WORD>
<WORD coords="1381,1299,1419,1252,1300">^</WORD>
<WORD coords="1451,1312,1467,1289,1306">»</WORD>
<WORD coords="1523,1300,1722,1243,1297">donde</WORD>
<WORD coords="1779,1303,1988,1264,1298">vemos</WORD>
<WORD coords="2061,1314,2178,1264,1301">que</WORD>
<WORD coords="2256,1303,2307,1246,1303">e!</WORD>
<WORD coords="2361,1303,2523,1246,1300">divi-</WORD>
</LINE>
<LINE>
<WORD coords="193,1410,464,1351,1408">dendos</WORD>
<WORD coords="529,1408,592,1374,1407">es</WORD>
<WORD coords="641,1430,806,1355,1407">igual</WORD>
<WORD coords="870,1408,921,1354,1407">al</WORD>
<WORD coords="975,1406,1246,1355,1405">cociente</WORD>
<WORD coords="1311,1405,1343,1361,1405">2</WORD>
<WORD coords="1397,1422,1820,1350,1403">multiplicado</WORD>
<WORD coords="1882,1425,1989,1371,1405">por</WORD>
<WORD coords="2053,1405,2106,1352,1404">el</WORD>
<WORD coords="2161,1408,2402,1349,1404">divisor</WORD>
<WORD coords="2459,1407,2521,1358,1406">4.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="361,1513,460,1462,1512">65.</WORD>
<WORD coords="561,1513,755,1457,1511">Corol.</WORD>
<WORD coords="845,1533,1062,1457,1509">Luego</WORD>
<WORD coords="1108,1509,1160,1456,1508">el</WORD>
<WORD coords="1221,1523,1528,1454,1508">problema</WORD>
<WORD coords="1586,1511,1811,1455,1508">dividir</WORD>
<WORD coords="1852,1510,1930,1475,1510">un</WORD>
<WORD coords="1986,1512,2225,1476,1510">numero</WORD>
<WORD coords="2253,1533,2365,1475,1508">por</WORD>
<WORD coords="2395,1515,2539,1465,1509">otro.</WORD>
</LINE>
<LINE>
<WORD coords="193,1617,257,1580,1616">ae</WORD>
<WORD coords="311,1617,533,1561,1615">reduce</WORD>
<WORD coords="597,1618,632,1583,1618">a</WORD>
<WORD coords="685,1616,914,1572,1614">estotro</WORD>
<WORD coords="948,1615,961,1580,1615">:</WORD>
<WORD coords="1009,1615,1164,1559,1614">dado</WORD>
<WORD coords="1222,1614,1302,1577,1614">un</WORD>
<WORD coords="1354,1636,1644,1559,1614">producto</WORD>
<WORD coords="1702,1636,1743,1579,1611">ij</WORD>
<WORD coords="1791,1617,1904,1578,1616">uno</WORD>
<WORD coords="1962,1617,2032,1562,1616">de</WORD>
<WORD coords="2090,1615,2190,1580,1614">sus</WORD>
<WORD coords="2218,1636,2429,1559,1617">factor</WORD>
<WORD coords="2446,1614,2504,1579,1613">es</WORD>
<WORD coords="2511,1627,2532,1597,1627">%</WORD>
</LINE>
<LINE>
<WORD coords="197,1720,402,1664,1718">hallar</WORD>
<WORD coords="447,1723,503,1665,1721">el</WORD>
<WORD coords="551,1721,680,1676,1720">otro</WORD>
<WORD coords="715,1743,893,1665,1724">Jacto</WORD>
<WORD coords="905,1721,951,1685,1717">r.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="363,1825,460,1773,1824">66.</WORD>
<WORD coords="560,1825,656,1774,1825">Pr&lt;</WORD>
<WORD coords="682,1825,882,1771,1823">bieroa</WORD>
<WORD coords="916,1825,930,1791,1825">:</WORD>
<WORD coords="1022,1826,1275,1770,1824">Dividir</WORD>
<WORD coords="1330,1827,1413,1789,1826">un</WORD>
<WORD coords="1467,1827,1709,1789,1825">numero</WORD>
<WORD coords="1756,1847,1953,1771,1826">dígito</WORD>
<WORD coords="2000,1847,2120,1783,1827">por</WORD>
<WORD coords="2177,1825,2305,1780,1824">ttro</WORD>
<WORD coords="2364,1844,2526,1768,1823">dígi-</WORD>
</LINE>
<LINE>
<WORD coords="193,1932,254,1880,1930">to</WORD>
<WORD coords="288,1945,302,1920,1937">,</WORD>
<WORD coords="357,1930,394,1875,1930">ó</WORD>
<WORD coords="437,1930,516,1894,1930">un</WORD>
<WORD coords="562,1948,893,1886,1929">compuesto</WORD>
<WORD coords="953,1930,1023,1876,1929">de</WORD>
<WORD coords="1068,1930,1173,1876,1929">dos</WORD>
<WORD coords="1222,1951,1413,1873,1932">cfras</WORD>
<WORD coords="1446,1947,1470,1920,1947">r</WORD>
<WORD coords="1513,1951,1659,1888,1930">pero</WORD>
<WORD coords="1712,1954,1828,1896,1931">que</WORD>
<WORD coords="1875,1931,1931,1879,1931">la</WORD>
<WORD coords="1982,1956,2142,1876,1935">cifra</WORD>
<WORD coords="2198,1954,2523,1878,1931">izquierda</WORD>
</LINE>
<LINE>
<WORD coords="192,2033,292,1996,2032">tea</WORD>
<WORD coords="353,2034,552,1998,2032">menor</WORD>
<WORD coords="598,2057,709,1998,2033">que</WORD>
<WORD coords="757,2033,810,1980,2033">el</WORD>
<WORD coords="866,2055,1056,1979,2034">digito</WORD>
<WORD coords="1094,2048,1110,2024,2042">,</WORD>
<WORD coords="1165,2037,1447,1979,2033">dividirlo</WORD>
<WORD coords="1497,2055,1621,1994,2033">por</WORD>
<WORD coords="1681,2035,1766,1999,2035">un</WORD>
<WORD coords="1812,2056,2024,1981,2035">dígito..</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="352,2138,710,2083,2136">Resolución</WORD>
<WORD coords="824,2141,871,2094,2140">1.</WORD>
<WORD coords="905,2122,939,2088,2132">°</WORD>
<WORD coords="1048,2161,1370,2087,2142">Rusquese</WORD>
<WORD coords="1437,2142,1509,2107,2141">en</WORD>
<WORD coords="1569,2140,1623,2089,2140">la</WORD>
<WORD coords="1668,2141,1827,2087,2139">tabla</WORD>
<WORD coords="1894,2164,2228,2088,2142">pitagórica</WORD>
<WORD coords="2288,2146,2366,2109,2145">un</WORD>
<WORD coords="2413,2148,2525,2092,2145">n&apos;u-</WORD>
</LINE>
<LINE>
<WORD coords="191,2249,360,2205,2240">■rjero</WORD>
<WORD coords="419,2260,535,2208,2244">que</WORD>
<WORD coords="597,2261,1016,2190,2243">multiplicado</WORD>
<WORD coords="1072,2262,1177,2210,2244">por</WORD>
<WORD coords="1222,2246,1278,2193,2245">el</WORD>
<WORD coords="1329,2245,1565,2190,2244">divisor</WORD>
<WORD coords="1627,2244,1704,2190,2243">dé</WORD>
<WORD coords="1766,2245,1845,2209,2244">un</WORD>
<WORD coords="1895,2264,2155,2195,2246">product</WORD>
<WORD coords="2179,2244,2189,2218,2244">&gt;</WORD>
<WORD coords="2226,2261,2242,2238,2261">,</WORD>
<WORD coords="2273,2267,2391,2215,2250">que</WORD>
<WORD coords="2423,2252,2529,2214,2250">sea</WORD>
</LINE>
<LINE>
<WORD coords="186,2364,354,2291,2343">igual</WORD>
<WORD coords="396,2346,434,2292,2348">ó</WORD>
<WORD coords="491,2365,608,2312,2348">que</WORD>
<WORD coords="668,2350,794,2313,2349">mas</WORD>
<WORD coords="847,2350,910,2316,2350">se</WORD>
<WORD coords="966,2350,1019,2298,2349">le</WORD>
<WORD coords="1072,2364,1413,2297,2350">aprocsime</WORD>
<WORD coords="1447,2354,1507,2297,2353">al</WORD>
<WORD coords="1553,2351,1892,2296,2350">dividendo</WORD>
<WORD coords="1931,2366,1946,2342,2366">,</WORD>
<WORD coords="1983,2373,2023,2318,2363">y</WORD>
<WORD coords="2069,2354,2121,2304,2353">el</WORD>
<WORD coords="2161,2354,2241,2300,2353">tai</WORD>
<WORD coords="2304,2362,2548,2319,2354">nume-.-</WORD>
</LINE>
<LINE>
<WORD coords="191,2451,257,2412,2445">?o</WORD>
<WORD coords="328,2450,389,2415,2448">se</WORD>
<WORD coords="429,2450,458,2415,2450">a</WORD>
<WORD coords="508,2457,562,2398,2454">el</WORD>
<WORD coords="609,2456,878,2398,2453">cociente</WORD>
<WORD coords="942,2471,1165,2397,2454">pedido</WORD>
<WORD coords="1204,2436,1222,2423,2445">*</WORD>
<WORD coords="1265,2456,1321,2409,2455">2.</WORD>
<WORD coords="1437,2457,1506,2401,2457">Si</WORD>
<WORD coords="1555,2455,1608,2403,2455">el</WORD>
<WORD coords="1672,2476,1968,2404,2455">producto</WORD>
<WORD coords="2154,2478,2540,2405,2459">multiplicar,</WORD>
</LINE>
<LINE>
<WORD coords="191,2553,244,2500,2552">el</WORD>
<WORD coords="303,2556,573,2501,2554">cociente</WORD>
<WORD coords="625,2577,731,2523,2557">por</WORD>
<WORD coords="790,2559,844,2505,2558">el</WORD>
<WORD coords="902,2560,1138,2505,2559">divisor</WORD>
<WORD coords="1195,2562,1368,2505,2561">fuese</WORD>
<WORD coords="1424,2564,1635,2526,2562">menor</WORD>
<WORD coords="1707,2581,1824,2528,2564">que</WORD>
<WORD coords="1890,2564,1940,2512,2563">el</WORD>
<WORD coords="2012,2564,2349,2510,2563">dívideodo</WORD>
<WORD coords="2384,2577,2399,2555,2571">,</WORD>
<WORD coords="2458,2565,2523,2529,2564">se</WORD>
</LINE>
<LINE>
<WORD coords="194,2659,419,2608,2657">restará</WORD>
<WORD coords="478,2660,553,2608,2659">de</WORD>
<WORD coords="605,2663,728,2620,2661">este</WORD>
<WORD coords="760,2671,782,2630,2668">;</WORD>
<WORD coords="820,2664,872,2609,2663">la</WORD>
<WORD coords="933,2665,1090,2622,2663">resta</WORD>
<WORD coords="1150,2666,1214,2631,2665">se</WORD>
<WORD coords="1281,2668,1574,2608,2666">escribirá</WORD>
<WORD coords="1631,2669,1743,2632,2668">con</WORD>
<WORD coords="1804,2667,1854,2615,2666">el</WORD>
<WORD coords="1920,2687,2098,2615,2666">signo</WORD>
<WORD coords="2288,2669,2337,2617,2668">al</WORD>
<WORD coords="2384,2671,2527,2616,2669">lado</WORD>
</LINE>
<LINE>
<WORD coords="196,2766,296,2708,2764">del</WORD>
<WORD coords="356,2769,631,2710,2765">cociente</WORD>
<WORD coords="668,2783,685,2757,2777">,</WORD>
<WORD coords="736,2768,800,2734,2767">se</WORD>
<WORD coords="860,2769,911,2715,2768">le</WORD>
<WORD coords="962,2772,1143,2717,2769">tirará</WORD>
<WORD coords="1194,2774,1310,2737,2772">una</WORD>
<WORD coords="1383,2795,1529,2738,2775">raya</WORD>
<WORD coords="1608,2793,1716,2737,2774">por</WORD>
<WORD coords="1771,2797,1989,2720,2774">debajo</WORD>
<WORD coords="2019,2791,2033,2765,2791">,</WORD>
<WORD coords="2069,2796,2107,2741,2786">y</WORD>
<WORD coords="2160,2776,2221,2743,2775">se</WORD>
<WORD coords="2276,2780,2526,2722,2777">esciibi-</WORD>
</LINE>
<LINE>
<WORD coords="196,2875,263,2831,2869">?a</WORD>
<WORD coords="331,2869,381,2813,2868">el</WORD>
<WORD coords="438,2872,671,2815,2869">divisor</WORD>
<WORD coords="717,2896,935,2817,2872">debsjo</WORD>
<WORD coords="992,2874,1065,2820,2873">de</WORD>
<WORD coords="1110,2875,1161,2822,2875">la</WORD>
<WORD coords="1210,2898,1406,2842,2876">raya*.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="357,2997,648,2919,2974">Ejemplo.</WORD>
<WORD coords="745,2980,1041,2921,2978">Divídase</WORD>
<WORD coords="1104,2984,1173,2935,2983">12</WORD>
<WORD coords="1209,3002,1317,2946,2983">por</WORD>
<WORD coords="1365,2984,1403,2937,2984">4</WORD>
<WORD coords="1433,3006,1671,2928,2984">j,&apos;buseo</WORD>
<WORD coords="1732,2986,1809,2950,2984">un</WORD>
<WORD coords="1855,2986,2108,2947,2984">numero</WORD>
<WORD coords="2141,2998,2160,2974,2998">^</WORD>
<WORD coords="2190,3003,2306,2953,2988">que</WORD>
<WORD coords="2367,2990,2522,2933,2989">mul-</WORD>
</LINE>
<LINE>
<WORD coords="209,3090,503,3022,3075">tiplicado</WORD>
<WORD coords="563,3093,664,3044,3077">peí</WORD>
<WORD coords="743,3083,782,3035,3084">4</WORD>
<WORD coords="840,3090,1151,3034,3085">produzca</WORD>
<WORD coords="1237,3088,1305,3042,3087">12</WORD>
<WORD coords="1328,3113,1353,3076,3113">%</WORD>
<WORD coords="1418,3110,1453,3056,3100">y</WORD>
<WORD coords="1528,3090,1703,3056,3089">como</WORD>
<WORD coords="1758,3087,1777,3058,3087">e</WORD>
<WORD coords="1796,3089,1884,3043,3088">ste</WORD>
<WORD coords="1945,3090,2008,3056,3090">es</WORD>
<WORD coords="2082,3091,2134,3039,3090">el</WORD>
<WORD coords="2212,3093,2245,3046,3093">3</WORD>
<WORD coords="2288,3109,2301,3085,3109">,</WORD>
<WORD coords="2374,3120,2527,3065,3100">pues,</WORD>
</LINE>
<LINE>
<WORD coords="223,3184,255,3132,3187">3</WORD>
<WORD coords="305,3204,368,3141,3199">&gt;&lt;</WORD>
<WORD coords="423,3184,461,3134,3187">4</WORD>
<WORD coords="506,3194,607,3157,3193">z=z</WORD>
<WORD coords="641,3187,708,3139,3187">12</WORD>
<WORD coords="743,3201,759,3177,3201">,</WORD>
<WORD coords="806,3210,952,3133,3188">digo</WORD>
<WORD coords="1008,3209,1123,3157,3191">que</WORD>
<WORD coords="1175,3191,1226,3141,3191">el</WORD>
<WORD coords="1281,3193,1549,3141,3192">cociente</WORD>
<WORD coords="1610,3194,1673,3160,3193">es</WORD>
<WORD coords="1734,3196,1791,3147,3194">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="358,3310,624,3233,3287">Ejemplo</WORD>
<WORD coords="683,3291,803,3239,3288">2.°</WORD>
<WORD coords="919,3296,1256,3239,3294">Dividj.nse</WORD>
<WORD coords="1313,3298,1383,3248,3298">16</WORD>
<WORD coords="1428,3298,1599,3263,3297">varas</WORD>
<WORD coords="1649,3299,1813,3257,3297">entre</WORD>
<WORD coords="1877,3300,1912,3250,3300">6</WORD>
<WORD coords="1983,3307,2269,3245,3303">hombres</WORD>
<WORD coords="2304,3312,2317,3276,3312">:</WORD>
<WORD coords="2376,3315,2522,3258,3314">bus-</WORD>
</LINE>
<LINE>
<WORD coords="193,3390,268,3354,3389">co</WORD>
<WORD coords="314,3390,392,3354,3389">un</WORD>
<WORD coords="453,3394,708,3352,3393">numero</WORD>
<WORD coords="771,3414,885,3361,3395">que</WORD>
<WORD coords="936,3419,1358,3346,3398">multiplicado</WORD>
<WORD coords="1413,3420,1521,3366,3402">por</WORD>
<WORD coords="1584,3402,1621,3352,3402">6</WORD>
<WORD coords="1682,3420,1998,3350,3404">produzca</WORD>
<WORD coords="2039,3406,2090,3356,3406">el</WORD>
<WORD coords="2154,3411,2225,3361,3410">16</WORD>
<WORD coords="2261,3429,2275,3362,3429">\</WORD>
<WORD coords="2334,3435,2372,3381,3427">y</WORD>
<WORD coords="2425,3420,2518,3366,3418">dj.</WORD>
</LINE>
<LINE>
<WORD coords="192,3516,292,3461,3495">go;</WORD>
<WORD coords="334,3495,353,3450,3502">1</WORD>
<WORD coords="421,3500,534,3462,3498">vez</WORD>
<WORD coords="578,3499,615,3447,3504">6</WORD>
<WORD coords="662,3500,724,3466,3499">es</WORD>
<WORD coords="771,3500,807,3451,3504">6</WORD>
<WORD coords="840,3518,855,3491,3513">,</WORD>
<WORD coords="896,3504,1020,3461,3502">este</WORD>
<WORD coords="1085,3519,1343,3452,3504">product</WORD>
<WORD coords="1368,3503,1380,3478,3506">)</WORD>
<WORD coords="1429,3508,1493,3472,3506">es</WORD>
<WORD coords="1546,3508,1753,3475,3507">men-v</WORD>
<WORD coords="1823,3528,1937,3476,3510">que</WORD>
<WORD coords="2000,3511,2050,3461,3510">ei</WORD>
<WORD coords="2113,3524,2454,3460,3518">dividendo</WORD>
</LINE>
<LINE>
<WORD coords="193,3618,340,3563,3599">pues</WORD>
<WORD coords="400,3606,730,3543,3600">continúo:</WORD>
<WORD coords="791,3607,827,3560,3609">2</WORD>
<WORD coords="909,3608,1086,3573,3607">veces</WORD>
<WORD coords="1147,3609,1183,3560,3610">6</WORD>
<WORD coords="1240,3612,1284,3579,3612">s&lt;</WORD>
<WORD coords="1311,3612,1353,3577,3612">n</WORD>
<WORD coords="1427,3612,1497,3565,3611">12</WORD>
<WORD coords="1532,3626,1553,3602,3626">r</WORD>
<WORD coords="1596,3632,1711,3580,3614">que</WORD>
<WORD coords="1765,3616,1885,3573,3615">tam</WORD>
<WORD coords="1901,3630,2049,3579,3615">poco</WORD>
<WORD coords="2122,3618,2184,3585,3617">es</WORD>
<WORD coords="2245,3641,2408,3574,3623">igual</WORD>
<WORD coords="2462,3630,2515,3578,3628">al</WORD>
</LINE>
<LINE>
<WORD coords="192,3722,580,3649,3704">drt&apos;Ldend&lt;n-;</WORD>
<WORD coords="624,3732,870,3659,3708">prosigo</WORD>
<WORD coords="907,3714,922,3682,3716">:</WORD>
<WORD coords="968,3712,998,3665,3715">3</WORD>
<WORD coords="1051,3716,1227,3679,3713">veces</WORD>
<WORD coords="1287,3717,1323,3668,3718">6</WORD>
<WORD coords="1381,3716,1487,3682,3715">son</WORD>
<WORD coords="1550,3736,1665,3673,3728">18,</WORD>
<WORD coords="1715,3738,1855,3667,3720">aqui</WORD>
<WORD coords="1918,3723,1974,3670,3722">el</WORD>
<WORD coords="2058,3728,2128,3664,3728">tÓ</WORD>
<WORD coords="2177,3723,2238,3691,3722">es</WORD>
<WORD coords="2298,3749,2511,3695,3729">mayor</WORD>
</LINE>
<LINE>
<WORD coords="193,3825,308,3771,3807">que</WORD>
<WORD coords="350,3808,403,3757,3808">el</WORD>
<WORD coords="449,3814,787,3757,3811">dividendo</WORD>
<WORD coords="850,3816,921,3766,3817">16</WORD>
<WORD coords="975,3835,1012,3783,3835">y</WORD>
<WORD coords="1071,3837,1183,3784,3817">por</WORD>
<WORD coords="1236,3819,1292,3766,3818">lo</WORD>
<WORD coords="1361,3821,1581,3765,3820">mismo</WORD>
<WORD coords="1640,3822,1693,3771,3822">el</WORD>
<WORD coords="1754,3826,1948,3768,3824">factor</WORD>
<WORD coords="2006,3825,2037,3778,3825">3</WORD>
<WORD coords="2077,3826,2151,3793,3825">no</WORD>
<WORD coords="2190,3833,2250,3796,3832">es</WORD>
<WORD coords="2294,3833,2347,3781,3832">ei</WORD>
<WORD coords="2414,3835,2519,3801,3834">co-</WORD>
</LINE>
<LINE>
<WORD coords="180,3914,397,3869,3910">ciente.</WORD>
<WORD coords="495,3933,783,3860,3915">Pondré,</WORD>
<WORD coords="832,3937,1021,3884,3919">pues,</WORD>
<WORD coords="1081,3937,1187,3887,3921">por</WORD>
<WORD coords="1231,3924,1498,3870,3921">cociente</WORD>
<WORD coords="1542,3924,1576,3879,3924">2</WORD>
<WORD coords="1641,3942,1743,3890,3924">por</WORD>
<WORD coords="1797,3958,1911,3893,3929">q.jje</WORD>
<WORD coords="1979,3929,2065,3875,3928">da</WORD>
<WORD coords="2121,3933,2196,3899,3933">un</WORD>
<WORD coords="2249,3951,2510,3884,3934">prodoc-</WORD>
</LINE>
<LINE>
<WORD coords="176,4019,353,3967,4014">ttí!2</WORD>
<WORD coords="403,4040,520,3984,4023">que</WORD>
<WORD coords="562,4025,691,3985,4024">mas</WORD>
<WORD coords="744,4026,810,3988,4025">se</WORD>
<WORD coords="862,4049,1205,3972,4028">aprocsima</WORD>
<WORD coords="1260,4033,1316,3972,4030">al</WORD>
<WORD coords="1375,4045,1493,3956,4033">Í6¿</WORD>
<WORD coords="1535,4033,1646,3992,4031">veo</WORD>
<WORD coords="1707,4032,1761,3981,4031">la</WORD>
<WORD coords="1803,4036,2136,3977,4034">diferencia</WORD>
<WORD coords="2208,4040,2281,3983,4040">de</WORD>
<WORD coords="2350,4040,2517,3997,4039">e*toa</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0037.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0038.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0038.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="284,1504,428,1380,1504">II</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1894,528,2038,438,527">28</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="794,654,908,592,651">dos</WORD>
<WORD coords="963,650,1253,609,648">numeres</WORD>
<WORD coords="1299,669,1340,609,668">y</WORD>
<WORD coords="1394,668,1541,589,646">digo</WORD>
<WORD coords="1576,649,1593,613,647">:</WORD>
<WORD coords="1681,645,1758,589,645">de</WORD>
<WORD coords="1813,645,1885,597,645">12</WORD>
<WORD coords="1942,645,1969,611,645">a</WORD>
<WORD coords="2028,644,2100,592,643">í6</WORD>
<WORD coords="2159,644,2272,607,643">van</WORD>
<WORD coords="2311,643,2352,591,643">4</WORD>
<WORD coords="2384,657,2399,630,657">,</WORD>
<WORD coords="2426,663,2626,603,640">pongo</WORD>
<WORD coords="2672,644,2725,587,643">el</WORD>
<WORD coords="2783,644,2822,592,644">4</WORD>
<WORD coords="2866,642,2894,605,642">a</WORD>
<WORD coords="2939,640,2994,585,640">la</WORD>
<WORD coords="3031,640,3140,583,639">de-</WORD>
</LINE>
<LINE>
<WORD coords="792,756,973,698,752">recha</WORD>
<WORD coords="1035,753,1137,697,752">del</WORD>
<WORD coords="1196,753,1468,699,751">cociente</WORD>
<WORD coords="1516,764,1598,704,754">2,</WORD>
<WORD coords="1655,750,1710,696,749">le</WORD>
<WORD coords="1764,750,1883,695,749">tiro</WORD>
<WORD coords="1929,752,2047,714,750">una</WORD>
<WORD coords="2090,769,2235,713,748">raya</WORD>
<WORD coords="2287,767,2321,712,757">y</WORD>
<WORD coords="2384,747,2619,692,745">escribo</WORD>
<WORD coords="2671,767,2889,691,746">debajo</WORD>
<WORD coords="2935,744,3142,690,742">dees,</WORD>
</LINE>
<LINE>
<WORD coords="786,857,847,811,856">ta</WORD>
<WORD coords="893,857,946,805,856">el</WORD>
<WORD coords="997,858,1233,802,856">divisor</WORD>
<WORD coords="1266,857,1301,806,857">6</WORD>
<WORD coords="1325,870,1340,846,870">,</WORD>
<WORD coords="1370,876,1560,820,855">según</WORD>
<WORD coords="1608,855,1668,821,855">se</WORD>
<WORD coords="1716,857,1791,820,856">ve</WORD>
<WORD coords="1848,874,1989,800,855">aquí</WORD>
<WORD coords="2040,855,2326,799,853">indicado</WORD>
<WORD coords="2356,870,2598,801,856">,16:6</WORD>
<WORD coords="2629,861,2735,823,861">z^z</WORD>
<WORD coords="2760,852,2790,807,852">2</WORD>
<WORD coords="2821,875,2901,793,852">-|-</WORD>
<WORD coords="2938,846,2977,799,849">4</WORD>
<WORD coords="3004,858,3019,836,855">,</WORD>
<WORD coords="3045,847,3140,808,846">es-</WORD>
</LINE>
<LINE>
<WORD coords="792,963,854,920,963">to</WORD>
<WORD coords="889,962,951,929,962">es</WORD>
<WORD coords="985,981,1100,927,962">que</WORD>
<WORD coords="1158,962,1229,912,962">16</WORD>
<WORD coords="1263,962,1437,927,961">varas</WORD>
<WORD coords="1485,961,1729,907,960">dividas</WORD>
<WORD coords="1774,962,1941,917,959">entre</WORD>
<WORD coords="1975,959,2011,910,959">6</WORD>
<WORD coords="2040,960,2327,905,959">hombres</WORD>
<WORD coords="2364,975,2379,949,967">,</WORD>
<WORD coords="2408,958,2493,906,957">les</WORD>
<WORD coords="2542,959,2684,905,958">cabe</WORD>
<WORD coords="2718,957,2747,905,958">á</WORD>
<WORD coords="2937,950,2975,899,950">6</WORD>
</LINE>
<LINE>
<WORD coords="789,1070,906,1014,1068">d©s</WORD>
<WORD coords="957,1067,1131,1030,1066">varas</WORD>
<WORD coords="1183,1067,1423,1012,1066">cabales</WORD>
<WORD coords="1461,1067,1588,1031,1065">mas</WORD>
<WORD coords="1645,1067,1854,1020,1064">cuatro</WORD>
<WORD coords="1898,1065,2135,1028,1064">sesmos</WORD>
<WORD coords="2185,1065,2260,1009,1064">de</WORD>
<WORD coords="2321,1065,2487,1028,1063">vara,</WORD>
<WORD coords="3066,1072,3095,1023,1072">1</WORD>
</LINE>
<LINE>
<WORD coords="983,1172,1045,1117,1171">Si</WORD>
<WORD coords="1115,1172,1205,1118,1172">los</WORD>
<WORD coords="1279,1172,1560,1117,1170">residuos</WORD>
<WORD coords="1634,1170,1980,1115,1169">éstubieran</WORD>
<WORD coords="2056,1170,2310,1114,1168">escritos</WORD>
<WORD coords="2390,1167,2466,1115,1167">de</WORD>
<WORD coords="2532,1169,2659,1127,1168">esta</WORD>
<WORD coords="2734,1170,2978,1130,1168">manera</WORD>
<WORD coords="3012,1174,3027,1137,1174">:</WORD>
<WORD coords="3062,1174,3100,1127,1174">2</WORD>
</LINE>
<LINE>
<WORD coords="784,1295,1387,1227,1283">2,3,4,1,</WORD>
<WORD coords="1472,1274,1502,1229,1274">3</WORD>
<WORD coords="1539,1288,1555,1263,1281">,</WORD>
<WORD coords="1642,1273,1677,1226,1274">5</WORD>
<WORD coords="1710,1284,1726,1263,1279">,</WORD>
<WORD coords="1834,1272,1866,1225,1274">3</WORD>
<WORD coords="1899,1286,1915,1261,1280">,</WORD>
<WORD coords="2044,1275,2108,1239,1274">se</WORD>
<WORD coords="2197,1274,2424,1219,1272">leerían</WORD>
<WORD coords="2496,1274,2581,1220,1273">asi</WORD>
<WORD coords="2638,1275,2653,1238,1275">:</WORD>
<WORD coords="2726,1277,2809,1239,1277">un</WORD>
<WORD coords="2881,1298,3108,1240,1276">según»</WORD>
</LINE>
<LINE>
<WORD coords="789,1380,845,1308,1361">3&quot;</WORD>
<WORD coords="959,1385,1009,1309,1364">5*</WORD>
<WORD coords="1136,1385,1173,1335,1385">6</WORD>
<WORD coords="1278,1386,1337,1311,1374">~7</WORD>
<WORD coords="1454,1385,1523,1308,1363">~8</WORD>
<WORD coords="1644,1383,1720,1332,1382">14</WORD>
<WORD coords="1806,1379,1900,1302,1379">lo</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="789,1467,863,1411,1467">do</WORD>
<WORD coords="916,1468,947,1429,1468">o</WORD>
<WORD coords="1004,1468,1085,1429,1467">un</WORD>
<WORD coords="1140,1467,1324,1411,1466">medio</WORD>
<WORD coords="1359,1482,1375,1454,1473">,</WORD>
<WORD coords="1432,1464,1535,1410,1464">dos</WORD>
<WORD coords="1587,1464,1800,1418,1463">tercios</WORD>
<WORD coords="1836,1477,1852,1453,1470">,</WORD>
<WORD coords="1901,1463,2028,1417,1462">tres</WORD>
<WORD coords="2090,1485,2331,1406,1459">quintos</WORD>
<WORD coords="2364,1475,2379,1448,1469">,</WORD>
<WORD coords="2457,1460,2665,1411,1457">cuatro</WORD>
<WORD coords="2724,1464,2944,1419,1461">sesmos</WORD>
<WORD coords="2974,1472,2990,1452,1470">,</WORD>
<WORD coords="3042,1468,3127,1427,1467">un</WORD>
</LINE>
<LINE>
<WORD coords="788,1596,1039,1522,1574">séptimo</WORD>
<WORD coords="1075,1594,1093,1561,1583">,</WORD>
<WORD coords="1172,1573,1296,1530,1572">tres</WORD>
<WORD coords="1367,1573,1625,1518,1570">ochavos</WORD>
<WORD coords="1659,1585,1676,1558,1577">,</WORD>
<WORD coords="1715,1570,1880,1514,1569">cinco</WORD>
<WORD coords="1937,1568,2171,1522,1567">catorce</WORD>
<WORD coords="2200,1565,2340,1529,1564">avos</WORD>
<WORD coords="2367,1574,2383,1554,1571">,</WORD>
<WORD coords="2415,1565,2537,1520,1564">tres</WORD>
<WORD coords="2581,1564,2832,1509,1563">decimos</WORD>
<WORD coords="2924,1569,3125,1513,1568">Cuan-</WORD>
</LINE>
<LINE>
<WORD coords="790,1681,873,1625,1680">do</WORD>
<WORD coords="921,1680,972,1628,1679">el</WORD>
<WORD coords="1032,1682,1287,1643,1679">numero</WORD>
<WORD coords="1346,1697,1463,1642,1679">que</WORD>
<WORD coords="1522,1676,1646,1634,1675">esta</WORD>
<WORD coords="1703,1696,1927,1620,1674">debajo</WORD>
<WORD coords="1990,1674,2065,1618,1673">de</WORD>
<WORD coords="2118,1673,2176,1619,1672">la</WORD>
<WORD coords="2232,1692,2378,1635,1671">raya</WORD>
<WORD coords="2421,1670,2482,1636,1670">es</WORD>
<WORD coords="2544,1669,2570,1623,1672">1</WORD>
<WORD coords="2628,1688,2887,1614,1669">seguido</WORD>
<WORD coords="2921,1671,2994,1616,1671">de</WORD>
<WORD coords="3029,1673,3128,1637,1673">ce-</WORD>
</LINE>
<LINE>
<WORD coords="786,1789,889,1748,1786">ros</WORD>
<WORD coords="912,1801,930,1776,1786">,</WORD>
<WORD coords="977,1786,1041,1749,1785">se</WORD>
<WORD coords="1087,1784,1142,1731,1784">ie</WORD>
<WORD coords="1190,1784,1385,1727,1783">añade</WORD>
<WORD coords="1435,1783,1487,1728,1782">la</WORD>
<WORD coords="1537,1801,1775,1727,1781">palabra</WORD>
<WORD coords="1824,1781,2001,1725,1780">esimo</WORD>
<WORD coords="2029,1786,2052,1746,1786">;</WORD>
<WORD coords="2109,1796,2255,1743,1778">pero</WORD>
<WORD coords="2327,1777,2382,1722,1776">si</WORD>
<WORD coords="2437,1777,2491,1721,1776">el</WORD>
<WORD coords="2540,1776,2796,1736,1773">numero</WORD>
<WORD coords="2867,1775,2932,1739,1775">es</WORD>
<WORD coords="2992,1779,3130,1733,1777">otro</WORD>
</LINE>
<LINE>
<WORD coords="794,1910,1151,1835,1890">cualquiera</WORD>
<WORD coords="1208,1905,1565,1843,1887">compuesto</WORD>
<WORD coords="1593,1902,1608,1875,1894">,</WORD>
<WORD coords="1653,1886,1716,1850,1885">se</WORD>
<WORD coords="1779,1884,1833,1830,1884">le</WORD>
<WORD coords="1886,1886,2085,1828,1883">añade</WORD>
<WORD coords="2132,1883,2187,1830,1883">la</WORD>
<WORD coords="2244,1882,2364,1843,1881">voz</WORD>
<WORD coords="2411,1882,2540,1843,1881">avo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1043,1996,1527,1937,1993">Demostración,</WORD>
<WORD coords="1618,1990,1710,1935,1989">La</WORD>
<WORD coords="1758,2010,2024,1938,1990">primera</WORD>
<WORD coords="2079,2011,2245,1934,1987">regla</WORD>
<WORD coords="2299,1988,2360,1951,1987">es</WORD>
<WORD coords="2420,1987,2579,1931,1985">clara</WORD>
<WORD coords="2612,2002,2629,1975,2002">,</WORD>
<WORD coords="2673,2002,2818,1950,1984">pues</WORD>
<WORD coords="2878,1985,2942,1950,1984">se</WORD>
<WORD coords="2990,1994,3128,1928,1986">fun,</WORD>
</LINE>
<LINE>
<WORD coords="790,2106,868,2049,2106">da</WORD>
<WORD coords="916,2104,987,2067,2104">en</WORD>
<WORD coords="1047,2103,1100,2049,2102">el</WORD>
<WORD coords="1159,2103,1436,2058,2101">teorema</WORD>
<WORD coords="1489,2123,1625,2043,2110">[64]</WORD>
<WORD coords="1660,2112,1675,2066,2105">;</WORD>
<WORD coords="1730,2098,1783,2043,2097">la</WORD>
<WORD coords="1832,2096,2021,2059,2095">razón</WORD>
<WORD coords="2075,2114,2184,2059,2094">por</WORD>
<WORD coords="2240,2116,2356,2060,2095">que</WORD>
<WORD coords="2403,2096,2454,2037,2095">la</WORD>
<WORD coords="2504,2091,2665,2045,2090">resta</WORD>
<WORD coords="2715,2089,2779,2054,2088">se</WORD>
<WORD coords="2835,2091,2985,2034,2090">debe</WORD>
<WORD coords="3020,2110,3124,2055,2092">po-</WORD>
</LINE>
<LINE>
<WORD coords="789,2212,901,2171,2211">ner</WORD>
<WORD coords="951,2210,1010,2153,2209">al</WORD>
<WORD coords="1067,2209,1204,2152,2208">lado</WORD>
<WORD coords="1254,2207,1352,2150,2206">del</WORD>
<WORD coords="1417,2226,1736,2150,2204">cociente,</WORD>
<WORD coords="1789,2222,1825,2168,2212">y</WORD>
<WORD coords="1888,2202,1941,2147,2202">el</WORD>
<WORD coords="1998,2201,2239,2145,2199">divisor</WORD>
<WORD coords="2296,2218,2514,2142,2197">debajo</WORD>
<WORD coords="2548,2214,2564,2184,2207">,</WORD>
<WORD coords="2619,2194,2683,2159,2193">es</WORD>
<WORD coords="2730,2195,2885,2148,2192">esta.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1041,2317,1238,2258,2314">Como</WORD>
<WORD coords="1283,2312,1577,2256,2310">debemos</WORD>
<WORD coords="1630,2328,1893,2253,2308">repartir</WORD>
<WORD coords="1945,2326,2054,2270,2306">por</WORD>
<WORD coords="2106,2326,2272,2249,2304">igual</WORD>
<WORD coords="2330,2302,2506,2247,2301">todas</WORD>
<WORD coords="2560,2301,2648,2246,2300">las</WORD>
<WORD coords="2744,2299,2816,2246,2302">16</WORD>
<WORD coords="2862,2300,3037,2261,2297">varas</WORD>
<WORD coords="3099,2305,3134,2268,2305">a</WORD>
</LINE>
<LINE>
<WORD coords="789,2423,883,2365,2422">los</WORD>
<WORD coords="934,2420,970,2370,2420">6</WORD>
<WORD coords="1020,2421,1308,2364,2418">hombres</WORD>
<WORD coords="1345,2434,1360,2406,2426">,</WORD>
<WORD coords="1414,2418,1498,2363,2416">las</WORD>
<WORD coords="1557,2416,1599,2367,2416">4</WORD>
<WORD coords="1646,2433,1763,2379,2415">que</WORD>
<WORD coords="1827,2418,2050,2357,2413">sobran</WORD>
<WORD coords="2094,2410,2173,2375,2410">no</WORD>
<WORD coords="2247,2411,2331,2355,2410">las</WORD>
<WORD coords="2378,2409,2592,2351,2406">hemos</WORD>
<WORD coords="2647,2403,2722,2348,2403">de</WORD>
<WORD coords="2771,2407,2943,2353,2405">botar</WORD>
<WORD coords="3004,2405,3034,2352,2408">á</WORD>
<WORD coords="3083,2453,3164,2350,2406">la^</WORD>
</LINE>
<LINE>
<WORD coords="794,2544,996,2473,2526">calle;</WORD>
<WORD coords="1045,2525,1174,2471,2524">será</WORD>
<WORD coords="1211,2537,1227,2512,2537">,</WORD>
<WORD coords="1260,2542,1407,2486,2522">pues</WORD>
<WORD coords="1442,2538,1462,2510,2537">,</WORD>
<WORD coords="1499,2536,1949,2463,2517">indispensable</WORD>
<WORD coords="2000,2534,2117,2480,2515">que</WORD>
<WORD coords="2178,2513,2329,2458,2513">cada</WORD>
<WORD coords="2385,2513,2508,2476,2511">una</WORD>
<WORD coords="2557,2509,2636,2454,2509">de</WORD>
<WORD coords="2694,2511,2852,2467,2509">estas</WORD>
<WORD coords="2899,2510,2959,2455,2509">la</WORD>
<WORD coords="3004,2556,3166,2455,2510">des-^</WORD>
</LINE>
<LINE>
<WORD coords="792,2650,1270,2594,2629">compongamos</WORD>
<WORD coords="1326,2627,1398,2592,2627">en</WORD>
<WORD coords="1451,2627,1572,2571,2626">seis</WORD>
<WORD coords="1624,2625,1830,2583,2623">trozos</WORD>
<WORD coords="1868,2643,2101,2565,2618">iguales</WORD>
<WORD coords="2149,2618,2447,2562,2617">llamados</WORD>
<WORD coords="2505,2615,2728,2579,2613">sesmos</WORD>
<WORD coords="2763,2630,2779,2603,2630">,</WORD>
<WORD coords="2834,2634,2873,2579,2627">y</WORD>
<WORD coords="2923,2615,3137,2560,2613">demos</WORD>
<WORD coords="3186,2606,3193,2592,2606">-</WORD>
</LINE>
<LINE>
<WORD coords="797,2737,829,2686,2735">á</WORD>
<WORD coords="889,2734,1039,2679,2733">cada</WORD>
<WORD coords="1095,2734,1351,2678,2732">hombre</WORD>
<WORD coords="1414,2731,1494,2695,2730">un</WORD>
<WORD coords="1550,2730,1752,2693,2728">sesmo</WORD>
<WORD coords="1803,2746,1908,2692,2726">por</WORD>
<WORD coords="1965,2726,2113,2670,2725">cada</WORD>
<WORD coords="2171,2724,2307,2687,2722">vara</WORD>
<WORD coords="2333,2735,2352,2690,2735">;</WORD>
<WORD coords="2390,2739,2530,2687,2720">pero</WORD>
<WORD coords="2593,2720,2679,2667,2719">las</WORD>
<WORD coords="2729,2720,2900,2682,2717">varas</WORD>
<WORD coords="2941,2719,3046,2684,2718">son</WORD>
<WORD coords="3075,2731,3137,2669,2726">4;</WORD>
</LINE>
<LINE>
<WORD coords="817,2861,1001,2786,2840">luego</WORD>
<WORD coords="1053,2838,1080,2788,2838">á</WORD>
<WORD coords="1148,2839,1297,2783,2837">cada</WORD>
<WORD coords="1357,2835,1487,2779,2834">hon</WORD>
<WORD coords="1513,2834,1620,2779,2833">bre</WORD>
<WORD coords="1678,2832,1918,2781,2831">tocarán</WORD>
<WORD coords="1960,2832,1998,2784,2831">4</WORD>
<WORD coords="2042,2831,2273,2794,2828">sesmos</WORD>
<WORD coords="2333,2827,2405,2773,2826">de</WORD>
<WORD coords="2469,2826,2630,2790,2825">vara.</WORD>
<WORD coords="2721,2825,2933,2768,2823">Ahora</WORD>
<WORD coords="2969,2845,2990,2810,2837">,</WORD>
<WORD coords="3034,2825,3134,2787,2824">co-</WORD>
</LINE>
<LINE>
<WORD coords="801,2951,906,2913,2950">mo</WORD>
<WORD coords="951,2947,1007,2895,2947">la</WORD>
<WORD coords="1062,2947,1221,2902,2946">sesta</WORD>
<WORD coords="1270,2951,1433,2900,2941">parte</WORD>
<WORD coords="1483,2943,1558,2888,2942">de</WORD>
<WORD coords="1619,2941,1765,2887,2940">cada</WORD>
<WORD coords="1815,2941,2045,2883,2938">unidad</WORD>
<WORD coords="2077,2939,2138,2903,2938">es</WORD>
<WORD coords="2191,2957,2352,2881,2935">igual</WORD>
<WORD coords="2406,2958,2553,2886,2942">fax.</WORD>
<WORD coords="2590,2933,2644,2884,2924">3-</WORD>
<WORD coords="2670,2913,2706,2885,2925">°</WORD>
<WORD coords="2732,2945,2777,2873,2941">)</WORD>
<WORD coords="2820,2928,2846,2877,2933">á</WORD>
<WORD coords="2880,2927,2934,2877,2926">la</WORD>
<WORD coords="2967,2930,3130,2883,2927">sesta</WORD>
</LINE>
<LINE>
<WORD coords="797,3076,970,3010,3052">parte</WORD>
<WORD coords="1022,3052,1123,2996,3051">del</WORD>
<WORD coords="1174,3051,1320,2996,3049">todo</WORD>
<WORD coords="1344,3063,1360,3037,3047">,</WORD>
<WORD coords="1394,3047,1457,3012,3047">se</WORD>
<WORD coords="1504,3068,1675,2992,3045">sigue</WORD>
<WORD coords="1740,3062,1854,3012,3045">que</WORD>
<WORD coords="1903,3043,1930,2992,3043">á</WORD>
<WORD coords="1991,3043,2140,2988,3042">cad-i</WORD>
<WORD coords="2191,3041,2445,2984,3039">hombre</WORD>
<WORD coords="2498,3037,2551,2984,3037">le</WORD>
<WORD coords="2612,3036,2786,2983,3035">cabrá</WORD>
<WORD coords="2849,3036,2903,2983,3034">la</WORD>
<WORD coords="2967,3039,3128,2995,3036">sesta</WORD>
</LINE>
<LINE>
<WORD coords="806,3179,982,3116,3158">parte</WORD>
<WORD coords="1039,3156,1139,3102,3155">del</WORD>
<WORD coords="1183,3155,1222,3106,3155">4</WORD>
<WORD coords="1269,3173,1385,3118,3154">que</WORD>
<WORD coords="1441,3153,1504,3117,3152">es</WORD>
<WORD coords="1564,3150,1616,3098,3149">el</WORD>
<WORD coords="1646,3162,1828,3095,3148">todo;</WORD>
<WORD coords="1863,3169,2004,3114,3149">pero</WORD>
<WORD coords="2047,3148,2244,3105,3146">tomar</WORD>
<WORD coords="2274,3146,2331,3092,3145">la</WORD>
<WORD coords="2362,3144,2396,3095,3146">6</WORD>
<WORD coords="2446,3121,2480,3089,3134">^</WORD>
<WORD coords="2534,3160,2697,3099,3142">parte</WORD>
<WORD coords="2731,3141,2827,3087,3141">del</WORD>
<WORD coords="2883,3140,2923,3092,3144">4</WORD>
<WORD coords="2953,3159,3130,3085,3139">equi-</WORD>
</LINE>
<LINE>
<WORD coords="801,3266,951,3207,3264">vale*</WORD>
<WORD coords="976,3262,1006,3225,3262">a</WORD>
<WORD coords="1062,3264,1295,3205,3260">dividir</WORD>
<WORD coords="1347,3259,1387,3211,3259">4</WORD>
<WORD coords="1437,3276,1544,3221,3256">por</WORD>
<WORD coords="1589,3270,1673,3205,3265">6,</WORD>
<WORD coords="1746,3275,2072,3200,3253">operación</WORD>
<WORD coords="2122,3271,2236,3218,3252">que</WORD>
<WORD coords="2293,3252,2355,3218,3251">se</WORD>
<WORD coords="2405,3250,2605,3195,3248">indica</WORD>
<WORD coords="2657,3266,2961,3193,3246">poniendo</WORD>
<WORD coords="3013,3248,3133,3210,3247">una</WORD>
</LINE>
<LINE>
<WORD coords="803,3389,954,3330,3369">raya</WORD>
<WORD coords="1017,3388,1236,3309,3366">debajo</WORD>
<WORD coords="1290,3364,1389,3308,3362">del</WORD>
<WORD coords="1435,3363,1474,3314,3363">4</WORD>
<WORD coords="1528,3382,1567,3327,3380">y</WORD>
<WORD coords="1622,3378,1882,3305,3360">después</WORD>
<WORD coords="1916,3358,1991,3304,3357">de</WORD>
<WORD coords="2043,3376,2281,3303,3356">aquella</WORD>
<WORD coords="2340,3356,2393,3301,3355">el</WORD>
<WORD coords="2440,3354,2476,3304,3356">6</WORD>
<WORD coords="2509,3354,2522,3320,3356">:</WORD>
<WORD coords="2569,3373,2748,3299,3351">luego</WORD>
<WORD coords="2781,3350,2834,3296,3349">el</WORD>
<WORD coords="2894,3350,3130,3292,3349">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="805,3473,868,3428,3473">te</WORD>
<WORD coords="929,3473,1005,3414,3472">dé</WORD>
<WORD coords="1062,3471,1292,3415,3470">dividir</WORD>
<WORD coords="1351,3469,1408,3415,3468">la</WORD>
<WORD coords="1456,3467,1616,3423,3466">resta</WORD>
<WORD coords="1690,3485,1797,3428,3465">por</WORD>
<WORD coords="1860,3463,1913,3410,3463">el</WORD>
<WORD coords="1970,3462,2206,3408,3461">divisor</WORD>
<WORD coords="2238,3465,2251,3445,3463">,</WORD>
<WORD coords="2317,3459,2380,3425,3458">se</WORD>
<WORD coords="2447,3476,2755,3405,3456">espresará</WORD>
<WORD coords="2823,3472,3132,3398,3452">poniendo</WORD>
</LINE>
<LINE>
<WORD coords="806,3578,992,3522,3576">dicha</WORD>
<WORD coords="1046,3576,1206,3535,3575">resta</WORD>
<WORD coords="1258,3574,1495,3521,3574">encima</WORD>
<WORD coords="1549,3572,1624,3518,3572">de</WORD>
<WORD coords="1678,3572,1797,3535,3571">una</WORD>
<WORD coords="1850,3590,1995,3531,3568">raya</WORD>
<WORD coords="2048,3589,2086,3532,3587">y</WORD>
<WORD coords="2158,3586,2376,3510,3564">debajo</WORD>
<WORD coords="2436,3563,2511,3509,3563">de</WORD>
<WORD coords="2587,3561,2699,3508,3560">ella</WORD>
<WORD coords="2758,3560,2816,3506,3560">el</WORD>
<WORD coords="2869,3574,3134,3503,3558">divisor,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="806,3683,885,3625,3683">L.</WORD>
<WORD coords="944,3696,1023,3626,3685">q.</WORD>
<WORD coords="1093,3682,1174,3627,3680">d.</WORD>
<WORD coords="1244,3681,1324,3625,3680">d.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="973,3787,1068,3736,3786">67.</WORD>
<WORD coords="1161,3787,1359,3731,3784">Corol</WORD>
<WORD coords="1412,3785,1513,3729,3784">De</WORD>
<WORD coords="1561,3783,1618,3727,3783">la</WORD>
<WORD coords="1655,3782,2109,3722,3779">demostración</WORD>
<WORD coords="2142,3776,2408,3719,3773">anterior</WORD>
<WORD coords="2460,3773,2523,3736,3772">se</WORD>
<WORD coords="2572,3791,2744,3714,3769">sigue</WORD>
<WORD coords="2771,3792,2942,3716,3775">;1.°</WORD>
<WORD coords="2999,3790,3137,3698,3769">S&amp;c</WORD>
</LINE>
<LINE>
<WORD coords="809,3893,866,3838,3893">el</WORD>
<WORD coords="909,3890,1170,3836,3888">cociente</WORD>
<WORD coords="1225,3887,1294,3834,3886">de</WORD>
<WORD coords="1346,3890,1570,3834,3887">dividir</WORD>
<WORD coords="1626,3888,1707,3850,3888">un</WORD>
<WORD coords="1764,3886,2008,3847,3884">numero</WORD>
<WORD coords="2063,3881,2263,3843,3880">menor</WORD>
<WORD coords="2314,3899,2432,3834,3878">por</WORD>
<WORD coords="2489,3878,2620,3831,3876">otro</WORD>
<WORD coords="2678,3894,2888,3838,3874">mayor</WORD>
<WORD coords="2941,3876,3002,3837,3873">es</WORD>
<WORD coords="3054,3874,3135,3834,3872">un</WORD>
</LINE>
<LINE>
<WORD coords="811,4000,1056,3958,3997">numero</WORD>
<WORD coords="1105,4017,1400,3935,3992">quebrado</WORD>
<WORD coords="1429,4011,1447,3979,4011">,</WORD>
<WORD coords="1504,4014,1654,3955,3994">pues</WORD>
<WORD coords="1705,3995,1839,3937,3993">solo</WORD>
<WORD coords="1892,4011,2139,3949,3989">espresa</WORD>
<WORD coords="2199,4010,2339,3933,3997">(34;</WORD>
<WORD coords="2387,4004,2592,3937,3984">partea</WORD>
<WORD coords="2647,3983,2723,3925,3981">de</WORD>
<WORD coords="2778,3981,2836,3923,3981">la</WORD>
<WORD coords="2882,3998,3140,3922,3980">unidad.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0038.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0039.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0039.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1274,612,1424,522,610">20</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="156,697,241,638,696">tal</WORD>
<WORD coords="294,696,359,652,695">es</WORD>
<WORD coords="415,696,469,638,695">el</WORD>
<WORD coords="525,698,566,644,701">4</WORD>
<WORD coords="614,701,869,658,698">sesmos.</WORD>
<WORD coords="967,702,1023,651,702">2.</WORD>
<WORD coords="1048,682,1089,643,693">°</WORD>
<WORD coords="1174,716,1316,644,704">Que</WORD>
<WORD coords="1375,705,1449,670,704">en</WORD>
<WORD coords="1502,728,1742,648,707">jeneral</WORD>
<WORD coords="1800,710,1858,652,709">el</WORD>
<WORD coords="1904,711,2168,654,708">cociente</WORD>
<WORD coords="2225,708,2297,651,707">de</WORD>
<WORD coords="2374,709,2531,651,708">divi-</WORD>
</LINE>
<LINE>
<WORD coords="157,802,259,744,801">dir</WORD>
<WORD coords="317,802,398,764,802">un</WORD>
<WORD coords="452,806,698,765,803">numero</WORD>
<WORD coords="760,830,1117,753,806">cuaqukra</WORD>
<WORD coords="1164,830,1287,765,809">por</WORD>
<WORD coords="1345,812,1475,765,811">otro</WORD>
<WORD coords="1501,829,1517,801,821">,</WORD>
<WORD coords="1575,813,1640,777,812">se</WORD>
<WORD coords="1685,836,1881,759,816">puede</WORD>
<WORD coords="1933,838,2221,773,816">espresar</WORD>
<WORD coords="2268,837,2526,760,814">ponien-</WORD>
</LINE>
<LINE>
<WORD coords="148,911,220,853,910">do</WORD>
<WORD coords="272,909,329,854,908">ti</WORD>
<WORD coords="377,914,697,854,910">dividendo</WORD>
<WORD coords="757,915,987,860,913">encima</WORD>
<WORD coords="1042,916,1114,859,916">de</WORD>
<WORD coords="1159,918,1281,879,918">una</WORD>
<WORD coords="1316,938,1471,882,919">raya</WORD>
<WORD coords="1519,941,1558,884,941">y</WORD>
<WORD coords="1614,944,1823,867,922">debajo</WORD>
<WORD coords="1871,925,1942,870,924">de</WORD>
<WORD coords="2003,927,2132,881,925">esta</WORD>
<WORD coords="2164,924,2220,870,923">el</WORD>
<WORD coords="2260,935,2523,869,923">divisor;</WORD>
</LINE>
<LINE>
<WORD coords="146,1037,298,979,1017">pero</WORD>
<WORD coords="355,1018,647,972,1016">entonces</WORD>
<WORD coords="702,1019,756,964,1018">el</WORD>
<WORD coords="817,1022,1094,963,1020">cociente</WORD>
<WORD coords="1147,1024,1226,987,1023">no</WORD>
<WORD coords="1279,1044,1596,974,1025">espresará</WORD>
<WORD coords="1630,1031,1932,974,1029">unidades</WORD>
<WORD coords="1980,1032,2080,976,1032">del</WORD>
<WORD coords="2133,1049,2508,972,1029">dividendo,</WORD>
</LINE>
<LINE>
<WORD coords="139,1123,278,1067,1122">sino</WORD>
<WORD coords="335,1139,540,1077,1121">partes</WORD>
<WORD coords="594,1125,671,1087,1124">en</WORD>
<WORD coords="734,1145,854,1089,1126">que</WORD>
<WORD coords="911,1129,977,1092,1128">se</WORD>
<WORD coords="1030,1129,1107,1072,1128">ha</WORD>
<WORD coords="1167,1150,1645,1074,1130">descompuesto</WORD>
<WORD coords="1688,1133,1742,1079,1132">la</WORD>
<WORD coords="1791,1138,2026,1080,1135">unidad</WORD>
<WORD coords="2057,1155,2074,1125,1147">,</WORD>
<WORD coords="2110,1140,2524,1082,1136">conteniendo</WORD>
</LINE>
<LINE>
<WORD coords="137,1228,267,1183,1227">esta</WORD>
<WORD coords="324,1229,525,1182,1228">tantas</WORD>
<WORD coords="581,1232,831,1188,1230">cuantas</WORD>
<WORD coords="902,1235,1206,1177,1233">unidades</WORD>
<WORD coords="1279,1236,1442,1180,1235">tiene</WORD>
<WORD coords="1504,1236,1559,1182,1235">el</WORD>
<WORD coords="1629,1240,1869,1181,1238">divisor</WORD>
<WORD coords="1902,1242,1916,1206,1242">:</WORD>
<WORD coords="1974,1243,2046,1206,1242">es</WORD>
<WORD coords="2104,1247,2277,1187,1244">decir</WORD>
<WORD coords="2309,1258,2326,1236,1258">,</WORD>
<WORD coords="2387,1267,2513,1212,1251">que</WORD>
</LINE>
<LINE>
<WORD coords="136,1335,191,1277,1335">si</WORD>
<WORD coords="245,1335,300,1281,1335">el</WORD>
<WORD coords="348,1336,589,1278,1335">divisor</WORD>
<WORD coords="644,1336,709,1301,1336">es</WORD>
<WORD coords="753,1338,789,1290,1340">2</WORD>
<WORD coords="823,1360,844,1324,1351">,</WORD>
<WORD coords="875,1340,930,1284,1339">el</WORD>
<WORD coords="963,1342,1237,1284,1340">cociente</WORD>
<WORD coords="1274,1360,1587,1288,1341">espresará</WORD>
<WORD coords="1638,1346,1880,1290,1344">medios</WORD>
<WORD coords="1913,1366,1933,1317,1356">;</WORD>
<WORD coords="1970,1347,2017,1291,1346">si</WORD>
<WORD coords="2064,1348,2129,1312,1348">es</WORD>
<WORD coords="2181,1349,2214,1299,1349">3</WORD>
<WORD coords="2249,1368,2266,1339,1368">,</WORD>
<WORD coords="2296,1373,2521,1316,1354">espre-</WORD>
</LINE>
<LINE>
<WORD coords="138,1443,273,1387,1442">sará</WORD>
<WORD coords="314,1442,542,1386,1441">tercios</WORD>
<WORD coords="603,1445,713,1386,1443">&amp;c.</WORD>
<WORD coords="812,1445,933,1389,1444">Por</WORD>
<WORD coords="990,1468,1259,1389,1445">ejemplo</WORD>
<WORD coords="1291,1464,1312,1436,1457">,</WORD>
<WORD coords="1340,1447,1392,1391,1447">si</WORD>
<WORD coords="1437,1448,1501,1412,1447">se</WORD>
<WORD coords="1551,1449,1648,1412,1448">me</WORD>
<WORD coords="1706,1469,1848,1396,1452">pide</WORD>
<WORD coords="1906,1473,2025,1417,1456">que</WORD>
<WORD coords="2076,1460,2294,1399,1457">divida</WORD>
<WORD coords="2326,1462,2364,1410,1462">4</WORD>
<WORD coords="2398,1481,2508,1426,1464">pe-</WORD>
</LINE>
<LINE>
<WORD coords="138,1549,244,1510,1548">sos</WORD>
<WORD coords="292,1548,462,1503,1546">entre</WORD>
<WORD coords="514,1549,556,1497,1553">4</WORD>
<WORD coords="604,1550,895,1491,1547">hombres</WORD>
<WORD coords="924,1565,940,1538,1561">,</WORD>
<WORD coords="972,1551,1036,1495,1550">di</WORD>
<WORD coords="1077,1552,1111,1495,1554">é</WORD>
<WORD coords="1173,1572,1292,1517,1554">que</WORD>
<WORD coords="1340,1554,1429,1498,1553">les</WORD>
<WORD coords="1480,1557,1628,1499,1556">cabe</WORD>
<WORD coords="1675,1557,1705,1500,1557">á</WORD>
<WORD coords="1750,1562,1968,1516,1560">cuatro</WORD>
<WORD coords="2009,1569,2259,1525,1567">cuartos</WORD>
<WORD coords="2299,1571,2376,1514,1570">de</WORD>
<WORD coords="2411,1587,2515,1534,1572">pe-</WORD>
</LINE>
<LINE>
<WORD coords="124,1654,198,1616,1654">so</WORD>
<WORD coords="252,1654,290,1599,1659">ó</WORD>
<WORD coords="335,1656,369,1601,1660">á</WORD>
<WORD coords="414,1655,453,1604,1660">4</WORD>
<WORD coords="502,1673,523,1625,1669">;</WORD>
<WORD coords="601,1656,677,1606,1661">25</WORD>
<WORD coords="741,1659,1033,1600,1657">dividido</WORD>
<WORD coords="1079,1678,1188,1620,1659">por</WORD>
<WORD coords="1247,1660,1282,1608,1662">3</WORD>
<WORD coords="1348,1663,1429,1605,1662">da</WORD>
<WORD coords="1478,1663,1555,1605,1663">de</WORD>
<WORD coords="1616,1669,1890,1607,1665">cociente</WORD>
<WORD coords="1983,1672,2059,1622,1670">25</WORD>
<WORD coords="2109,1679,2128,1659,1678">.</WORD>
<WORD coords="2167,1678,2259,1618,1677">La</WORD>
<WORD coords="2318,1680,2514,1637,1678">razón</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="128,1847,207,1787,1847">de</WORD>
<WORD coords="239,1848,375,1802,1847">esto</WORD>
<WORD coords="432,1848,498,1811,1848">es</WORD>
<WORD coords="534,1865,552,1835,1865">,</WORD>
<WORD coords="612,1869,722,1811,1851">por</WORD>
<WORD coords="779,1869,897,1814,1852">qne</WORD>
<WORD coords="945,1872,1247,1798,1856">podemos</WORD>
<WORD coords="1292,1878,1741,1799,1859">descomponer</WORD>
<WORD coords="1781,1861,1934,1803,1860">cada</WORD>
<WORD coords="1985,1865,2224,1806,1863">unidad</WORD>
<WORD coords="2273,1866,2349,1809,1865">de</WORD>
<WORD coords="2424,1868,2509,1826,1867">un</WORD>
</LINE>
<LINE>
<WORD coords="129,1955,482,1895,1952">dividendo</WORD>
<WORD coords="540,1977,898,1900,1957">cualquiera</WORD>
<WORD coords="942,1960,1016,1922,1959">en</WORD>
<WORD coords="1061,1964,1256,1916,1962">tantas</WORD>
<WORD coords="1311,1984,1513,1920,1964">partes</WORD>
<WORD coords="1548,1983,1563,1955,1975">,</WORD>
<WORD coords="1619,1968,1802,1930,1967">como</WORD>
<WORD coords="1865,1970,2171,1911,1969">unidades</WORD>
<WORD coords="2220,1971,2385,1916,1970">tiene</WORD>
<WORD coords="2437,1972,2502,1912,1972">el</WORD>
</LINE>
<LINE>
<WORD coords="123,2058,370,2000,2056">divisor</WORD>
<WORD coords="400,2076,416,2049,2076">,</WORD>
<WORD coords="460,2080,499,2022,2079">y</WORD>
<WORD coords="553,2078,837,2025,2063">espresar</WORD>
<WORD coords="891,2066,948,2011,2066">el</WORD>
<WORD coords="1008,2071,1289,2010,2069">cociente</WORD>
<WORD coords="1343,2074,1444,2015,2072">del</WORD>
<WORD coords="1500,2076,1729,2015,2075">mismo</WORD>
<WORD coords="1787,2078,1977,2019,2076">modo</WORD>
<WORD coords="2033,2098,2153,2040,2078">que</WORD>
<WORD coords="2218,2083,2493,2020,2080">hicimos</WORD>
</LINE>
<LINE>
<WORD coords="123,2166,183,2109,2164">al</WORD>
<WORD coords="248,2166,488,2108,2164">dividir</WORD>
<WORD coords="538,2167,594,2111,2166">el</WORD>
<WORD coords="651,2170,693,2118,2170">4</WORD>
<WORD coords="748,2190,861,2134,2171">por</WORD>
<WORD coords="903,2174,962,2119,2173">6.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="292,2272,390,2221,2276">68.</WORD>
<WORD coords="482,2276,679,2217,2274">EscoL</WORD>
<WORD coords="770,2278,847,2221,2277">Se</WORD>
<WORD coords="896,2281,1006,2243,2280">nos</WORD>
<WORD coords="1054,2301,1255,2226,2285">puede</WORD>
<WORD coords="1308,2290,1522,2231,2288">tachar</WORD>
<WORD coords="1591,2292,1671,2234,2291">de</WORD>
<WORD coords="1729,2297,2034,2236,2295">ínesactos</WORD>
<WORD coords="2067,2308,2084,2280,2302">,</WORD>
<WORD coords="2121,2297,2361,2238,2296">cuando</WORD>
<WORD coords="2392,2299,2503,2240,2298">he-</WORD>
</LINE>
<LINE>
<WORD coords="122,2378,258,2337,2377">mos</WORD>
<WORD coords="318,2397,537,2332,2378">puesto</WORD>
<WORD coords="594,2398,706,2342,2381">por</WORD>
<WORD coords="777,2390,1123,2327,2386">dividendo</WORD>
<WORD coords="1175,2408,1389,2355,2392">varas,</WORD>
<WORD coords="1449,2415,1561,2359,2396">por</WORD>
<WORD coords="1622,2401,1865,2342,2399">divisor</WORD>
<WORD coords="1923,2404,2218,2345,2402">hombres</WORD>
<WORD coords="2274,2423,2311,2366,2422">y</WORD>
<WORD coords="2387,2421,2501,2364,2404">por</WORD>
</LINE>
<LINE>
<WORD coords="117,2488,396,2428,2485">cociente</WORD>
<WORD coords="464,2489,641,2450,2488">vara*</WORD>
<WORD coords="671,2507,689,2459,2507">;</WORD>
<WORD coords="750,2509,898,2454,2492">pues</WORD>
<WORD coords="951,2494,1007,2438,2494">el</WORD>
<WORD coords="1067,2500,1307,2439,2498">divisor</WORD>
<WORD coords="1360,2504,1546,2445,2503">debia</WORD>
<WORD coords="1589,2525,1870,2469,2506">espresar</WORD>
<WORD coords="1925,2530,2067,2454,2517">(63)</WORD>
<WORD coords="2127,2513,2297,2475,2511">varas</WORD>
<WORD coords="2337,2533,2400,2476,2523">y</WORD>
<WORD coords="2423,2514,2481,2458,2513">el</WORD>
</LINE>
<LINE>
<WORD coords="112,2594,398,2535,2592">cociente</WORD>
<WORD coords="443,2595,543,2558,2594">ser</WORD>
<WORD coords="588,2597,667,2560,2596">un</WORD>
<WORD coords="717,2602,979,2561,2599">numero</WORD>
<WORD coords="1040,2608,1372,2547,2605">abstracto.</WORD>
<WORD coords="1469,2612,1625,2555,2610">Para</WORD>
<WORD coords="1691,2616,2015,2555,2614">satisfacer</WORD>
<WORD coords="2050,2632,2066,2605,2625">,</WORD>
<WORD coords="2115,2619,2213,2582,2618">me</WORD>
<WORD coords="2268,2624,2483,2565,2619">valdré</WORD>
</LINE>
<LINE>
<WORD coords="109,2702,190,2644,2701">de</WORD>
<WORD coords="251,2706,381,2657,2703">este</WORD>
<WORD coords="435,2727,707,2649,2705">ejemplo</WORD>
<WORD coords="762,2710,924,2653,2709">llano</WORD>
<WORD coords="957,2713,972,2676,2714">:</WORD>
<WORD coords="1071,2738,1466,2661,2716">Averigüese</WORD>
<WORD coords="1506,2722,1758,2676,2720">cuentas</WORD>
<WORD coords="1792,2725,1971,2686,2722">veces</WORD>
<WORD coords="2012,2723,2050,2672,2723">6</WORD>
<WORD coords="2107,2741,2283,2687,2724">pesos</WORD>
<WORD coords="2316,2727,2463,2689,2726">coa-</WORD>
</LINE>
<LINE>
<WORD coords="103,2809,273,2759,2806">tiene</WORD>
<WORD coords="331,2810,362,2754,2816">í</WORD>
<WORD coords="421,2810,455,2763,2816">2</WORD>
<WORD coords="491,2830,665,2775,2811">pesos</WORD>
<WORD coords="693,2832,713,2782,2827">;</WORD>
<WORD coords="770,2816,866,2759,2815">del</WORD>
<WORD coords="898,2817,937,2765,2819">6</WORD>
<WORD coords="970,2838,1215,2764,2820">quitaré</WORD>
<WORD coords="1269,2824,1306,2776,2824">2</WORD>
<WORD coords="1362,2843,1537,2787,2825">pesos</WORD>
<WORD coords="1574,2808,1587,2796,2815">•</WORD>
<WORD coords="1636,2829,1699,2792,2828">se</WORD>
<WORD coords="1729,2828,1779,2771,2827">si</WORD>
<WORD coords="1818,2831,2110,2775,2830">mandara</WORD>
<WORD coords="2155,2850,2274,2794,2831">que</WORD>
<WORD coords="2355,2834,2485,2775,2832">dis-</WORD>
</LINE>
<LINE>
<WORD coords="97,2936,340,2859,2913">tribuya</WORD>
<WORD coords="402,2920,567,2875,2918">estos</WORD>
<WORD coords="623,2922,738,2866,2921">dos</WORD>
<WORD coords="794,2941,970,2887,2924">pesos</WORD>
<WORD coords="1020,2928,1048,2872,2928">á</WORD>
<WORD coords="1099,2929,1212,2873,2928">dos</WORD>
<WORD coords="1265,2934,1555,2876,2931">hombres</WORD>
<WORD coords="1590,2950,1607,2922,2943">,</WORD>
<WORD coords="1671,2936,1822,2880,2935">cada</WORD>
<WORD coords="1873,2938,1994,2902,2936">uno</WORD>
<WORD coords="2075,2937,2309,2881,2935">llavará</WORD>
<WORD coords="2386,2942,2475,2903,2941">un</WORD>
</LINE>
<LINE>
<WORD coords="95,3036,244,2978,3018">peso</WORD>
<WORD coords="299,3023,373,2985,3022">en</WORD>
<WORD coords="433,3025,488,2969,3024">la</WORD>
<WORD coords="533,3044,801,2971,3027">primera</WORD>
<WORD coords="846,3033,1009,2987,3031">resta</WORD>
<WORD coords="1047,3036,1062,2999,3035">:</WORD>
<WORD coords="1122,3035,1221,2981,3034">del</WORD>
<WORD coords="1275,3040,1534,2981,3037">residuo</WORD>
<WORD coords="1578,3041,1620,2989,3041">4</WORD>
<WORD coords="1671,3059,1850,3003,3041">pesos</WORD>
<WORD coords="1904,3043,2131,2987,3041">vuelvo</WORD>
<WORD coords="2178,3042,2206,2987,3042">á</WORD>
<WORD coords="2263,3061,2472,2988,3043">quitar</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="90,3125,129,3075,3133">2</WORD>
<WORD coords="169,3143,346,3089,3126">pesos</WORD>
<WORD coords="379,3135,393,3114,3138">,</WORD>
<WORD coords="456,3151,575,3094,3133">que</WORD>
<WORD coords="637,3139,919,3081,3136">también</WORD>
<WORD coords="977,3165,1346,3084,3141">destribuyo</WORD>
<WORD coords="1403,3144,1436,3090,3144">á</WORD>
<WORD coords="1483,3164,1632,3108,3143">peso</WORD>
<WORD coords="1676,3146,1707,3091,3146">á</WORD>
<WORD coords="1765,3147,1918,3093,3146">cada</WORD>
<WORD coords="1977,3148,2248,3090,3147">hombre</WORD>
<WORD coords="2330,3167,2461,3095,3150">eje.</WORD>
</LINE>
<LINE>
<WORD coords="86,3235,356,3179,3231">cutando</WORD>
<WORD coords="412,3237,466,3180,3236">la</WORD>
<WORD coords="511,3241,748,3194,3239">tercera</WORD>
<WORD coords="803,3245,966,3203,3243">resta</WORD>
<WORD coords="998,3259,1012,3234,3253">,</WORD>
<WORD coords="1043,3248,1251,3195,3246">tocará</WORD>
<WORD coords="1307,3250,1445,3203,3248">otro</WORD>
<WORD coords="1501,3268,1646,3214,3250">peso</WORD>
<WORD coords="1691,3251,1721,3196,3251">á</WORD>
<WORD coords="1771,3253,1923,3197,3252">cada</WORD>
<WORD coords="1950,3255,2236,3198,3253">hombre.</WORD>
<WORD coords="2277,3276,2458,3199,3258">Aqui</WORD>
</LINE>
<LINE>
<WORD coords="82,3340,349,3279,3337">observo</WORD>
<WORD coords="407,3362,528,3306,3344">que</WORD>
<WORD coords="572,3344,626,3289,3344">el</WORD>
<WORD coords="677,3353,1088,3293,3349">sustrahendo</WORD>
<WORD coords="1147,3355,1185,3299,3355">ó</WORD>
<WORD coords="1245,3356,1486,3299,3355">divisor</WORD>
<WORD coords="1544,3357,1580,3308,3357">2</WORD>
<WORD coords="1638,3377,1817,3320,3358">pesos</WORD>
<WORD coords="1866,3359,1930,3322,3358">es</WORD>
<WORD coords="1981,3380,2149,3304,3359">igual</WORD>
<WORD coords="2209,3360,2263,3306,3360">al</WORD>
<WORD coords="2339,3364,2453,3326,3362">nu-</WORD>
</LINE>
<LINE>
<WORD coords="79,3446,254,3408,3446">mero</WORD>
<WORD coords="312,3448,392,3392,3447">de</WORD>
<WORD coords="453,3454,743,3393,3452">hombres</WORD>
<WORD coords="803,3475,921,3420,3458">que</WORD>
<WORD coords="973,3459,1037,3423,3459">es</WORD>
<WORD coords="1094,3462,1129,3412,3462">2</WORD>
<WORD coords="1163,3474,1177,3452,3474">,</WORD>
<WORD coords="1206,3484,1248,3426,3483">y</WORD>
<WORD coords="1302,3483,1420,3427,3464">que</WORD>
<WORD coords="1481,3465,1537,3410,3464">el</WORD>
<WORD coords="1589,3467,1850,3428,3465">numero</WORD>
<WORD coords="1905,3467,1983,3411,3467">de</WORD>
<WORD coords="2043,3468,2237,3425,3467">restas</WORD>
<WORD coords="2280,3470,2317,3413,3470">ó</WORD>
<WORD coords="2380,3470,2440,3414,3469">el</WORD>
</LINE>
<LINE>
<WORD coords="78,3557,355,3498,3552">cociente</WORD>
<WORD coords="420,3556,451,3507,3561">3</WORD>
<WORD coords="513,3560,577,3523,3559">es</WORD>
<WORD coords="633,3583,797,3506,3561">igual</WORD>
<WORD coords="858,3564,914,3510,3563">al</WORD>
<WORD coords="967,3570,1228,3529,3568">numero</WORD>
<WORD coords="1278,3571,1355,3515,3570">de</WORD>
<WORD coords="1417,3571,1592,3531,3570">varas</WORD>
<WORD coords="1652,3591,1774,3535,3573">que</WORD>
<WORD coords="1834,3573,1994,3516,3571">lleva</WORD>
<WORD coords="2053,3574,2206,3517,3573">cada</WORD>
<WORD coords="2261,3576,2441,3516,3574">hom-</WORD>
</LINE>
<LINE>
<WORD coords="78,3659,181,3602,3658">bre</WORD>
<WORD coords="216,3681,233,3634,3681">;</WORD>
<WORD coords="283,3682,466,3608,3661">luego</WORD>
<WORD coords="518,3665,583,3629,3665">se</WORD>
<WORD coords="646,3668,745,3630,3667">me</WORD>
<WORD coords="795,3686,996,3615,3672">puede</WORD>
<WORD coords="1055,3678,1363,3620,3675">conceder</WORD>
<WORD coords="1418,3676,1448,3624,3676">á</WORD>
<WORD coords="1492,3678,1741,3640,3677">manera</WORD>
<WORD coords="1790,3678,1867,3625,3678">de</WORD>
<WORD coords="1916,3697,2257,3624,3679">postulado</WORD>
<WORD coords="2282,3696,2298,3669,3696">,</WORD>
<WORD coords="2333,3697,2454,3643,3683">que</WORD>
</LINE>
<LINE>
<WORD coords="72,3767,145,3728,3767">en</WORD>
<WORD coords="195,3772,310,3733,3770">vez</WORD>
<WORD coords="345,3770,421,3714,3770">de</WORD>
<WORD coords="447,3773,621,3714,3771">decir</WORD>
<WORD coords="663,3774,697,3727,3777">2</WORD>
<WORD coords="758,3780,932,3741,3777">pesos</WORD>
<WORD coords="967,3801,1113,3724,3779">diga</WORD>
<WORD coords="1163,3784,1197,3737,3784">2</WORD>
<WORD coords="1232,3784,1523,3727,3783">hambres</WORD>
<WORD coords="1559,3797,1573,3774,3797">,</WORD>
<WORD coords="1607,3803,1647,3748,3794">y</WORD>
<WORD coords="1700,3785,1772,3748,3784">en</WORD>
<WORD coords="1815,3786,1932,3747,3784">vez</WORD>
<WORD coords="1967,3786,2042,3729,3784">de</WORD>
<WORD coords="2095,3786,2268,3731,3785">decir</WORD>
<WORD coords="2316,3803,2439,3729,3785">hay</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="74,3873,109,3823,3881">3</WORD>
<WORD coords="156,3879,354,3833,3877">restas</WORD>
<WORD coords="401,3901,542,3823,3877">diga</WORD>
<WORD coords="581,3905,705,3822,3880">hay</WORD>
<WORD coords="753,3882,786,3833,3885">3</WORD>
<WORD coords="845,3888,1018,3849,3885">varas</WORD>
<WORD coords="1047,3906,1067,3859,3897">;</WORD>
<WORD coords="1127,3888,1202,3853,3888">no</WORD>
<WORD coords="1260,3893,1563,3837,3890">envuelve</WORD>
<WORD coords="1612,3913,1760,3857,3893">pues</WORD>
<WORD coords="1810,3897,2182,3837,3894">inesactitud</WORD>
<WORD coords="2223,3896,2280,3839,3895">la</WORD>
<WORD coords="2335,3893,2444,3835,3892">de-</WORD>
</LINE>
<LINE>
<WORD coords="75,3988,477,3927,3984">nominación</WORD>
<WORD coords="533,4008,652,3951,3990">que</WORD>
<WORD coords="685,3994,906,3931,3992">hemos</WORD>
<WORD coords="957,3996,1123,3937,3995">dado</WORD>
<WORD coords="1169,3996,1224,3941,3994">el</WORD>
<WORD coords="1281,3999,1526,3940,3997">divisor</WORD>
<WORD coords="1569,4021,1609,3963,4013">y</WORD>
<WORD coords="1651,4005,1951,3941,4001">cociente,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1237,4104,1276,4051,4104">9</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0039.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0040.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0040.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1822,604,1976,514,604">30</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="870,752,976,694,749">69.</WORD>
<WORD coords="1070,746,1398,682,741">Prob&apos;ema</WORD>
<WORD coords="1430,734,1448,696,733">:</WORD>
<WORD coords="1502,732,1758,668,726">Dividir</WORD>
<WORD coords="1808,722,1892,684,722">un</WORD>
<WORD coords="1940,720,2188,674,718">numero</WORD>
<WORD coords="2234,734,2572,658,710">compuesto</WORD>
<WORD coords="2612,728,2732,658,707">por</WORD>
<WORD coords="2774,706,2858,662,705">un</WORD>
<WORD coords="2888,722,3104,634,699">digitr</WORD>
</LINE>
<LINE>
<WORD coords="886,856,1278,790,850">Resolución.</WORD>
<WORD coords="1368,842,1486,782,842">l.°</WORD>
<WORD coords="1600,850,1954,776,831">Coloqúese</WORD>
<WORD coords="2026,826,2082,770,825">el</WORD>
<WORD coords="2148,824,2388,764,820">divisor</WORD>
<WORD coords="2450,818,2484,762,822">á</WORD>
<WORD coords="2534,814,2586,758,813">la</WORD>
<WORD coords="2660,812,2930,750,808">derecha</WORD>
<WORD coords="2988,804,3092,742,802">del</WORD>
</LINE>
<LINE>
<WORD coords="720,974,1070,904,966">dividendo</WORD>
<WORD coords="1102,974,1120,946,966">,</WORD>
<WORD coords="1180,958,1258,900,957">de</WORD>
<WORD coords="1318,952,1508,892,951">modo</WORD>
<WORD coords="1554,966,1676,906,945">que</WORD>
<WORD coords="1752,942,1816,902,942">se</WORD>
<WORD coords="1864,952,2322,874,933">correspondan</WORD>
<WORD coords="2382,924,2458,888,924">en</WORD>
<WORD coords="2518,924,2602,882,921">un</WORD>
<WORD coords="2660,916,2888,858,914">mismo</WORD>
<WORD coords="2954,910,3090,872,909">ren-</WORD>
</LINE>
<LINE>
<WORD coords="730,1096,914,1022,1074">glon;</WORD>
<WORD coords="958,1072,1146,1012,1068">tirese</WORD>
<WORD coords="1206,1064,1380,1014,1062">entre</WORD>
<WORD coords="1432,1060,1524,1000,1058">los</WORD>
<WORD coords="1578,1054,1698,996,1051">dos</WORD>
<WORD coords="1744,1054,1862,1008,1048">una</WORD>
<WORD coords="1914,1062,2058,1004,1042">raya</WORD>
<WORD coords="2108,1040,2188,984,1039">de</WORD>
<WORD coords="2236,1036,2438,976,1033">arriba</WORD>
<WORD coords="2498,1048,2672,968,1026">abajo</WORD>
<WORD coords="2722,1040,2760,980,1042">y</WORD>
<WORD coords="2808,1018,2942,972,1016">otra</WORD>
<WORD coords="2986,1014,3098,956,1014">ho-</WORD>
</LINE>
<LINE>
<WORD coords="724,1184,986,1122,1179">rizontal</WORD>
<WORD coords="1036,1194,1260,1112,1172">debajo</WORD>
<WORD coords="1318,1168,1420,1108,1167">del</WORD>
<WORD coords="1468,1164,1726,1102,1160">divisor.</WORD>
<WORD coords="1816,1156,1872,1106,1154">2.</WORD>
<WORD coords="1900,1134,1934,1096,1142">°</WORD>
<WORD coords="1986,1166,2284,1092,1146">Sepárese</WORD>
<WORD coords="2328,1140,2448,1100,1137">con</WORD>
<WORD coords="2480,1136,2600,1090,1132">úna</WORD>
<WORD coords="2642,1128,2820,1086,1127">coma</WORD>
<WORD coords="2874,1124,2930,1068,1123">el</WORD>
<WORD coords="2962,1140,3086,1082,1120">pri-</WORD>
</LINE>
<LINE>
<WORD coords="724,1290,860,1248,1287">mer</WORD>
<WORD coords="890,1304,1208,1224,1280">guarismo</WORD>
<WORD coords="1242,1276,1322,1216,1275">de</WORD>
<WORD coords="1360,1290,1692,1210,1269">izquierda</WORD>
<WORD coords="1726,1264,1826,1204,1261">del</WORD>
<WORD coords="1870,1260,2216,1196,1255">dividendo</WORD>
<WORD coords="2248,1264,2266,1238,1264">,</WORD>
<WORD coords="2294,1270,2338,1212,1262">y</WORD>
<WORD coords="2368,1250,2436,1190,1247">si.</WORD>
<WORD coords="2454,1242,2586,1196,1241">este</WORD>
<WORD coords="2632,1240,2698,1198,1238">es</WORD>
<WORD coords="2730,1236,2944,1192,1232">menor</WORD>
<WORD coords="2976,1248,3098,1186,1228">que</WORD>
</LINE>
<LINE>
<WORD coords="736,1398,796,1338,1396">el</WORD>
<WORD coords="852,1392,1094,1332,1388">divisor</WORD>
<WORD coords="1126,1402,1144,1372,1402">,</WORD>
<WORD coords="1170,1402,1498,1340,1380">sepárense</WORD>
<WORD coords="1554,1376,1666,1316,1374">dos</WORD>
<WORD coords="1704,1378,1722,1338,1374">;</WORD>
<WORD coords="1778,1370,2064,1308,1365">dividase</WORD>
<WORD coords="2118,1362,2176,1306,1361">lo</WORD>
<WORD coords="2224,1374,2528,1294,1353">separado</WORD>
<WORD coords="2592,1350,2726,1302,1344">acta</WORD>
<WORD coords="2774,1354,3106,1278,1334">izquierda</WORD>
</LINE>
<LINE>
<WORD coords="746,1522,864,1460,1500">por</WORD>
<WORD coords="902,1500,958,1442,1499">el</WORD>
<WORD coords="1004,1496,1246,1434,1492">divisor</WORD>
<WORD coords="1282,1508,1478,1446,1486">según</WORD>
<WORD coords="1518,1482,1578,1426,1482">lo</WORD>
<WORD coords="1614,1480,1802,1420,1477">dicho</WORD>
<WORD coords="1848,1500,1990,1412,1484">[66]</WORD>
<WORD coords="2020,1488,2036,1458,1488">,</WORD>
<WORD coords="2098,1488,2366,1424,1462">póngase</WORD>
<WORD coords="2422,1462,2478,1402,1460">el</WORD>
<WORD coords="2554,1456,2832,1400,1449">cociente</WORD>
<WORD coords="2882,1458,3108,1384,1437">debajo</WORD>
</LINE>
<LINE>
<WORD coords="742,1612,824,1554,1611">de</WORD>
<WORD coords="884,1606,940,1550,1606">la</WORD>
<WORD coords="994,1626,1142,1564,1604">raya</WORD>
<WORD coords="1196,1620,1316,1558,1598">que</WORD>
<WORD coords="1358,1596,1490,1546,1594">esta</WORD>
<WORD coords="1520,1590,1782,1528,1587">inferior</WORD>
<WORD coords="1844,1582,1896,1526,1580">al</WORD>
<WORD coords="1950,1580,2190,1518,1576">divisor</WORD>
<WORD coords="2220,1586,2238,1560,1589">,</WORD>
<WORD coords="2256,1592,2308,1532,1575">y</WORD>
<WORD coords="2362,1566,2420,1510,1566">el</WORD>
<WORD coords="2470,1584,2776,1502,1556">producto</WORD>
<WORD coords="2820,1552,2898,1494,1550">de</WORD>
<WORD coords="2948,1544,3114,1490,1543">muí.</WORD>
</LINE>
<LINE>
<WORD coords="734,1736,988,1658,1716">tiplicar</WORD>
<WORD coords="1038,1712,1100,1654,1711">el</WORD>
<WORD coords="1156,1708,1434,1650,1705">cociente</WORD>
<WORD coords="1490,1720,1606,1658,1696">por</WORD>
<WORD coords="1654,1696,1710,1636,1694">el</WORD>
<WORD coords="1764,1692,2006,1630,1688">divisor</WORD>
<WORD coords="2050,1684,2280,1636,1681">réstese</WORD>
<WORD coords="2314,1678,2416,1616,1675">del</WORD>
<WORD coords="2468,1670,2812,1604,1665">dividendo</WORD>
<WORD coords="2844,1674,3098,1594,1651">parcial,</WORD>
</LINE>
<LINE>
<WORD coords="734,1842,860,1788,1826">que</WORD>
<WORD coords="912,1822,982,1784,1822">es</WORD>
<WORD coords="1046,1822,1102,1760,1820">el</WORD>
<WORD coords="1148,1838,1470,1754,1812">guarismo</WORD>
<WORD coords="1540,1806,1578,1750,1806">ó</WORD>
<WORD coords="1632,1824,2010,1740,1797">guarismos-</WORD>
<WORD coords="2040,1808,2376,1726,1786">separados</WORD>
<WORD coords="2448,1778,2582,1720,1777">acia</WORD>
<WORD coords="2634,1774,2688,1718,1773">la</WORD>
<WORD coords="2746,1782,3098,1706,1761">izquierda.</WORD>
</LINE>
<LINE>
<WORD coords="738,1934,778,1880,1924">3</WORD>
<WORD coords="826,1914,862,1874,1914">o</WORD>
<WORD coords="950,1928,1038,1870,1927">Al</WORD>
<WORD coords="1090,1924,1234,1866,1922">lado</WORD>
<WORD coords="1286,1920,1364,1862,1919">de</WORD>
<WORD coords="1424,1916,1480,1858,1916">la</WORD>
<WORD coords="1514,1914,1674,1866,1911">resta</WORD>
<WORD coords="1720,1908,1758,1850,1907">ó</WORD>
<WORD coords="1818,1906,1874,1846,1905">al</WORD>
<WORD coords="1932,1904,2074,1842,1901">lado</WORD>
<WORD coords="2116,1898,2218,1838,1895">del</WORD>
<WORD coords="2274,1890,2418,1850,1888">cero</WORD>
<WORD coords="2442,1904,2462,1872,1900">,</WORD>
<WORD coords="2522,1884,2660,1826,1881">sino</WORD>
<WORD coords="2710,1892,2920,1814,1871">quedó</WORD>
<WORD coords="2966,1866,3102,1826,1865">nm-</WORD>
</LINE>
<LINE>
<WORD coords="740,2062,1052,1994,2037">gana.se</WORD>
<WORD coords="1098,2054,1240,1970,2029">baja</WORD>
<WORD coords="1290,2026,1348,1968,2026">el</WORD>
<WORD coords="1402,2046,1740,1962,2021">guarismo,</WORD>
<WORD coords="1768,2034,2078,1954,2010">siguiente</WORD>
<WORD coords="2116,2004,2218,1944,2002">del</WORD>
<WORD coords="2278,1998,2622,1934,1992">dividendo</WORD>
<WORD coords="2656,1986,2672,1950,1993">:</WORD>
<WORD coords="2708,1980,2770,1942,1980">se</WORD>
<WORD coords="2822,1976,2898,1936,1976">ve</WORD>
<WORD coords="2934,2060,3122,1916,1972">cua£</WORD>
</LINE>
<LINE>
<WORD coords="740,2150,800,2100,2149">ta</WORD>
<WORD coords="810,2154,836,2108,2154">5</WORD>
<WORD coords="892,2146,1076,2104,2144">veces</WORD>
<WORD coords="1130,2144,1226,2100,2142">en.</WORD>
<WORD coords="1260,2140,1390,2086,2136">este</WORD>
<WORD coords="1442,2154,1786,2070,2127">guarismo,</WORD>
<WORD coords="1824,2126,1980,2072,2121">esta,</WORD>
<WORD coords="2002,2116,2338,2046,2110">contenido</WORD>
<WORD coords="2378,2102,2434,2042,2100">el</WORD>
<WORD coords="2494,2096,2736,2038,2093">divisor</WORD>
<WORD coords="2770,2100,2788,2072,2104">,</WORD>
<WORD coords="2838,2102,2878,2044,2105">y</WORD>
<WORD coords="2922,2080,2976,2028,2079">el</WORD>
<WORD coords="3022,2076,3126,2038,2076">co-</WORD>
</LINE>
<LINE>
<WORD coords="750,2258,964,2208,2255">cunte</WORD>
<WORD coords="1028,2254,1104,2210,2254">se</WORD>
<WORD coords="1148,2266,1308,2204,2246">pone</WORD>
<WORD coords="1354,2246,1406,2182,2246">i</WORD>
<WORD coords="1442,2242,1516,2180,2240">la.</WORD>
<WORD coords="1548,2236,1818,2170,2232">derecha</WORD>
<WORD coords="1872,2226,1978,2166,2224">del</WORD>
<WORD coords="2054,2218,2334,2158,2213">cociente</WORD>
<WORD coords="2388,2224,2618,2144,2202">parcial</WORD>
<WORD coords="2686,2200,2998,2148,2190">anterior;</WORD>
<WORD coords="3064,2180,3130,2140,2180">se</WORD>
</LINE>
<LINE>
<WORD coords="750,2378,1120,2298,2360">multiplica,</WORD>
<WORD coords="1168,2356,1300,2306,2354">este</WORD>
<WORD coords="1346,2366,1630,2284,2345">segundo</WORD>
<WORD coords="1688,2336,1972,2274,2331">cociente</WORD>
<WORD coords="2028,2342,2140,2284,2322">por</WORD>
<WORD coords="2196,2318,2256,2262,2318">el</WORD>
<WORD coords="2310,2316,2582,2258,2310">divirsor</WORD>
<WORD coords="2628,2330,2670,2268,2326">y</WORD>
<WORD coords="2726,2300,2812,2242,2299">.1.</WORD>
<WORD coords="2832,2314,3136,2236,2289">producto</WORD>
</LINE>
<LINE>
<WORD coords="756,2472,828,2432,2471">se</WORD>
<WORD coords="882,2468,1048,2420,2466">resta</WORD>
<WORD coords="1096,2462,1198,2400,2461">del</WORD>
<WORD coords="1254,2476,1538,2394,2454">segundo</WORD>
<WORD coords="1592,2446,1940,2378,2439">dividendo</WORD>
<WORD coords="1998,2448,2250,2368,2426">parcial.</WORD>
<WORD coords="2338,2420,2406,2362,2419">Si</WORD>
<WORD coords="2462,2420,2684,2356,2416">siendo</WORD>
<WORD coords="2716,2410,2860,2366,2408">cero</WORD>
<WORD coords="2908,2402,2966,2344,2411">1.</WORD>
<WORD coords="3008,2396,3138,2358,2394">res.</WORD>
</LINE>
<LINE>
<WORD coords="756,2590,872,2532,2578">ta,</WORD>
<WORD coords="922,2576,996,2534,2575">en</WORD>
<WORD coords="1050,2572,1108,2514,2571">el</WORD>
<WORD coords="1162,2592,1486,2504,2562">guarismo</WORD>
<WORD coords="1532,2576,1654,2514,2553">que</WORD>
<WORD coords="1698,2552,1768,2510,2550">se.</WORD>
<WORD coords="1814,2564,1956,2484,2542">baja</WORD>
<WORD coords="2014,2538,2092,2500,2538">no</WORD>
<WORD coords="2146,2534,2290,2474,2531">c.be</WORD>
<WORD coords="2346,2528,2404,2468,2526">el</WORD>
<WORD coords="2458,2522,2704,2466,2517">divisor</WORD>
<WORD coords="2732,2530,2750,2502,2533">,</WORD>
<WORD coords="2776,2512,2842,2474,2512">se</WORD>
<WORD coords="2902,2526,3140,2450,2503">pondrá</WORD>
</LINE>
<LINE>
<WORD coords="762,2688,962,2626,2685">desde</WORD>
<WORD coords="1010,2696,1196,2624,2677">luego</WORD>
<WORD coords="1252,2674,1336,2632,2673">un</WORD>
<WORD coords="1380,2668,1646,2622,2665">cercen</WORD>
<WORD coords="1692,2658,1750,2600,2658">el</WORD>
<WORD coords="1800,2654,2086,2590,2650">cociente</WORD>
<WORD coords="2138,2662,2184,2604,2650">y,</WORD>
<WORD coords="2236,2638,2300,2598,2637">se</WORD>
<WORD coords="2340,2656,2552,2570,2631">bajará</WORD>
<WORD coords="2610,2624,2744,2580,2622">otro</WORD>
<WORD coords="2822,2638,3140,2544,2611">guansmé</WORD>
</LINE>
<LINE>
<WORD coords="764,2794,870,2734,2792">del</WORD>
<WORD coords="944,2788,1292,2722,2782">dividendo</WORD>
<WORD coords="1332,2786,1528,2714,2775">total,</WORD>
<WORD coords="1560,2788,1684,2728,2767">que</WORD>
<WORD coords="1724,2762,1790,2724,2762">se</WORD>
<WORD coords="1842,2776,2078,2696,2754">pondrá</WORD>
<WORD coords="2136,2750,2192,2690,2748">al</WORD>
<WORD coords="2224,2744,2366,2686,2742">lado</WORD>
<WORD coords="2414,2736,2514,2678,2733">del</WORD>
<WORD coords="2548,2750,2662,2692,2729">que</WORD>
<WORD coords="2718,2748,2792,2688,2726">ya</WORD>
<WORD coords="2840,2740,3140,2668,2716">bajamos.</WORD>
</LINE>
<LINE>
<WORD coords="766,2902,812,2848,2892">4</WORD>
<WORD coords="858,2882,892,2844,2882">o</WORD>
<WORD coords="952,2896,1070,2836,2894">Asi</WORD>
<WORD coords="1138,2892,1204,2850,2891">se</WORD>
<WORD coords="1258,2888,1554,2822,2883">continúa</WORD>
<WORD coords="1612,2894,1972,2806,2869">operando,</WORD>
<WORD coords="2024,2862,2202,2800,2858">hasta</WORD>
<WORD coords="2254,2852,2444,2792,2847">haber</WORD>
<WORD coords="2504,2860,2730,2778,2835">bajado</WORD>
<WORD coords="2792,2830,2846,2776,2829">el</WORD>
<WORD coords="2914,2826,3138,2776,2822">u.t.mo</WORD>
</LINE>
<LINE>
<WORD coords="782,3028,1102,2946,3002">guarismo</WORD>
<WORD coords="1146,2996,1248,2938,2994">del</WORD>
<WORD coords="1300,2990,1646,2924,2985">dividendo</WORD>
<WORD coords="1680,2994,1696,2966,2994">,</WORD>
<WORD coords="1746,2996,1782,2938,2984">y</WORD>
<WORD coords="1826,2972,1886,2916,2972">la</WORD>
<WORD coords="1942,2970,2162,2908,2965">ultima</WORD>
<WORD coords="2210,2956,2376,2912,2953">resta</WORD>
<WORD coords="2434,2966,2554,2910,2948">que</WORD>
<WORD coords="2598,2942,2824,2884,2938">resulte</WORD>
<WORD coords="2918,2930,2982,2894,2930">se</WORD>
<WORD coords="3038,2926,3140,2888,2926">co-</WORD>
</LINE>
<LINE>
<WORD coords="774,3120,908,2970,3116">foca</WORD>
<WORD coords="968,3112,1000,3074,3112">a</WORD>
<WORD coords="1046,3110,1316,3044,3105">derecha</WORD>
<WORD coords="1386,3096,1490,3036,3094">del</WORD>
<WORD coords="1546,3098,1868,3028,3085">cociente,</WORD>
<WORD coords="1916,3082,1994,3040,3078">se.</WORD>
<WORD coords="2042,3076,2096,3020,3075">le</WORD>
<WORD coords="2144,3074,2332,3008,3069">tirará</WORD>
<WORD coords="2382,3080,2490,3018,3057">por</WORD>
<WORD coords="2540,3070,2764,2992,3050">debajo</WORD>
<WORD coords="2816,3044,2938,3000,3040">una</WORD>
<WORD coords="3004,3056,3152,2992,3034">raya</WORD>
</LINE>
<LINE>
<WORD coords="782,3242,826,3186,3240">y</WORD>
<WORD coords="868,3238,1092,3158,3218">debajo</WORD>
<WORD coords="1150,3212,1228,3154,3212">de</WORD>
<WORD coords="1284,3208,1414,3158,3205">esta</WORD>
<WORD coords="1456,3200,1520,3162,3200">se</WORD>
<WORD coords="1568,3216,1802,3136,3191">pondrá</WORD>
<WORD coords="1866,3186,1922,3130,3186">el</WORD>
<WORD coords="1970,3182,2234,3122,3180">divisor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="952,3346,1252,3260,3321">Ejemplo.</WORD>
<WORD coords="1290,3314,1592,3252,3308">Dividase</WORD>
<WORD coords="1626,3302,1828,3242,3299">24636</WORD>
<WORD coords="1858,3312,1964,3256,3292">por</WORD>
<WORD coords="1998,3292,2056,3236,3292">6.</WORD>
<WORD coords="2150,3288,2284,3230,3288">A...</WORD>
<WORD coords="2332,3280,2368,3230,3287">2</WORD>
<WORD coords="2414,3280,2474,3222,3283">4,</WORD>
<WORD coords="2524,3282,2586,3216,3282">6,</WORD>
<WORD coords="2638,3278,2698,3214,3279">3,</WORD>
<WORD coords="2740,3272,2798,3214,3276">6,</WORD>
<WORD coords="3076,3278,3148,3230,3278">y</WORD>
</LINE>
<LINE>
<WORD coords="1040,3430,1394,3364,3423">Colocados</WORD>
<WORD coords="1434,3416,1526,3360,3415">los</WORD>
<WORD coords="1554,3412,1852,3350,3405">términos</WORD>
<WORD coords="1884,3400,2064,3358,3398">como</WORD>
<WORD coords="2336,3384,2462,3330,3382">2.4</WORD>
</LINE>
<LINE>
<WORD coords="790,3548,860,3504,3546">se</WORD>
<WORD coords="910,3542,990,3480,3540">vé</WORD>
<WORD coords="1064,3538,1120,3476,3535">al</WORD>
<WORD coords="1176,3548,1432,3486,3526">margen</WORD>
<WORD coords="1472,3538,1490,3508,3537">,</WORD>
<WORD coords="1558,3536,1776,3478,3514">separo</WORD>
<WORD coords="1832,3508,1946,3468,3506">con</WORD>
<WORD coords="2006,3502,2066,3446,3501">la</WORD>
<WORD coords="2436,3472,2562,3458,3472">—</WORD>
</LINE>
<LINE>
<WORD coords="798,3650,980,3606,3646">coma</WORD>
<WORD coords="1030,3640,1128,3584,3639">los</WORD>
<WORD coords="1176,3636,1290,3582,3633">dos</WORD>
<WORD coords="1350,3650,1704,3570,3623">guarismos</WORD>
<WORD coords="1758,3620,1838,3566,3619">24</WORD>
<WORD coords="1896,3612,1972,3554,3611">de</WORD>
<WORD coords="2022,3606,2080,3552,3606">la</WORD>
<WORD coords="2540,3584,2578,3534,3602">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="798,3742,1136,3664,3724">izquierda</WORD>
<WORD coords="1212,3716,1312,3660,3715">del</WORD>
<WORD coords="1360,3716,1704,3648,3708">dividendo</WORD>
<WORD coords="1738,3716,1754,3690,3716">,</WORD>
<WORD coords="1800,3716,1908,3660,3694">por</WORD>
<WORD coords="1954,3708,2076,3652,3691">que</WORD>
<WORD coords="2792,3676,2800,3668,3706">•</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="802,3814,882,3774,3812">en</WORD>
<WORD coords="924,3808,980,3752,3807">el</WORD>
<WORD coords="1028,3818,1298,3746,3799">primero</WORD>
<WORD coords="1340,3798,1378,3746,3796">2</WORD>
<WORD coords="1408,3794,1486,3756,3793">no</WORD>
<WORD coords="1534,3788,1682,3730,3786">cabe</WORD>
<WORD coords="1728,3784,1784,3726,3782">el</WORD>
<WORD coords="1830,3780,2080,3724,3774">divisor.</WORD>
<WORD coords="2548,3748,2658,3730,3746">--</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="812,3894,852,3842,3894">6</WORD>
<WORD coords="944,3904,986,3850,3898">y</WORD>
<WORD coords="1032,3902,1220,3826,3880">digo:</WORD>
<WORD coords="1300,3900,1318,3844,3895">j</WORD>
<WORD coords="1344,3880,1404,3824,3878">6,</WORD>
<WORD coords="1428,3876,1524,3836,3875">en.</WORD>
<WORD coords="1548,3874,1652,3816,3872">24,</WORD>
<WORD coords="1674,3870,1926,3816,3865">cuantjs</WORD>
<WORD coords="1982,3856,2080,3818,3854">ve-</WORD>
<WORD coords="2648,3894,2674,3870,3894">o</WORD>
<WORD coords="2724,3894,2764,3856,3894">a</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="820,3978,926,3934,3974">ees</WORD>
<WORD coords="974,3970,1120,3908,3967">cabe</WORD>
<WORD coords="1154,3962,1174,3906,3960">?</WORD>
<WORD coords="1268,3958,1406,3902,3957">Veo</WORD>
<WORD coords="1454,3980,1598,3896,3963">(66)</WORD>
<WORD coords="1680,3964,1798,3910,3944">que</WORD>
<WORD coords="1848,3944,1992,3886,3941">cabe</WORD>
<WORD coords="2060,3936,2100,3884,3965">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="816,4056,1000,4016,4054">veces</WORD>
<WORD coords="1032,4060,1046,4038,4060">,</WORD>
<WORD coords="1070,4062,1220,4006,4044">pues</WORD>
<WORD coords="1266,4058,1466,4002,4036">pongo</WORD>
<WORD coords="1510,4034,1552,3986,4034">4</WORD>
<WORD coords="1596,4048,1820,3972,4027">debajo</WORD>
<WORD coords="1868,4024,1968,3968,4023">del</WORD>
<WORD coords="2000,4022,2094,3966,4020">di-</WORD>
<WORD coords="2628,3994,2670,3974,3994">~</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="816,4148,988,4082,4142">visor</WORD>
<WORD coords="1014,4150,1036,4100,4150">i</WORD>
<WORD coords="1078,4146,1424,4064,4126">multiplico</WORD>
<WORD coords="1470,4122,1530,4062,4121">el</WORD>
<WORD coords="1572,4118,1852,4064,4112">cociente</WORD>
<WORD coords="1898,4112,1938,4058,4116">4</WORD>
<WORD coords="1984,4128,2094,4060,4103">por</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2904,3464,3158,3398,3462">4106.C</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0040.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0041.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0041.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1248,564,1402,470,562">31</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="146,685,186,630,685">i</WORD>
<WORD coords="210,687,525,621,681">diciendo;</WORD>
<WORD coords="566,683,610,628,683">4</WORD>
<WORD coords="656,683,847,641,681">veces</WORD>
<WORD coords="891,681,932,625,681">6</WORD>
<WORD coords="975,681,1083,640,680">son</WORD>
<WORD coords="1134,680,1212,630,677">24-</WORD>
<WORD coords="1242,696,1270,669,696">v</WORD>
<WORD coords="1304,698,1422,645,680">que</WORD>
<WORD coords="1469,680,1683,624,679">coloco</WORD>
<WORD coords="1744,701,1966,624,680">dtbajo</WORD>
<WORD coords="2013,683,2110,624,680">del</WORD>
<WORD coords="2159,684,2504,625,682">dividendo</WORD>
</LINE>
<LINE>
<WORD coords="148,810,380,733,787">parcial</WORD>
<WORD coords="426,788,507,739,788">24</WORD>
<WORD coords="538,798,555,775,798">,</WORD>
<WORD coords="584,808,626,750,798">y</WORD>
<WORD coords="684,789,868,745,787">resto.</WORD>
<WORD coords="964,788,1051,731,786">Al</WORD>
<WORD coords="1106,785,1246,730,784">lado</WORD>
<WORD coords="1302,786,1374,731,785">de</WORD>
<WORD coords="1429,787,1487,732,786">la</WORD>
<WORD coords="1544,786,1700,742,785">re^ta</WORD>
<WORD coords="1746,786,1787,738,786">O</WORD>
<WORD coords="1833,809,1973,733,785">bajo</WORD>
<WORD coords="2033,788,2085,736,786">el</WORD>
<WORD coords="2134,786,2169,736,786">6</WORD>
<WORD coords="2220,808,2258,753,798">y</WORD>
<WORD coords="2313,788,2366,738,788">lo</WORD>
<WORD coords="2401,791,2495,757,790">se-</WORD>
</LINE>
<LINE>
<WORD coords="148,912,299,844,892">paro</WORD>
<WORD coords="353,893,466,855,892">con</WORD>
<WORD coords="523,894,644,856,893">una</WORD>
<WORD coords="698,893,873,855,892">coma</WORD>
<WORD coords="922,913,962,856,912">y</WORD>
<WORD coords="1008,911,1153,835,890">digo</WORD>
<WORD coords="1188,892,1201,857,892">:</WORD>
<WORD coords="1260,890,1297,840,891">6</WORD>
<WORD coords="1349,892,1420,857,892">en</WORD>
<WORD coords="1479,894,1533,840,893">el</WORD>
<WORD coords="1602,894,1640,842,894">6</WORD>
<WORD coords="1692,895,1837,840,893">cabe</WORD>
<WORD coords="1902,895,2018,860,893">una</WORD>
<WORD coords="2100,894,2207,859,893">vez</WORD>
<WORD coords="2241,909,2256,884,909">,</WORD>
<WORD coords="2341,912,2487,861,895">pon-</WORD>
</LINE>
<LINE>
<WORD coords="144,1020,224,961,996">go</WORD>
<WORD coords="292,998,319,950,998">1</WORD>
<WORD coords="382,1002,437,944,1000">al</WORD>
<WORD coords="497,998,639,943,998">lado</WORD>
<WORD coords="697,998,799,942,997">del</WORD>
<WORD coords="853,999,893,950,999">4</WORD>
<WORD coords="924,1007,938,967,1007">;</WORD>
<WORD coords="989,1016,1332,944,997">multiplico</WORD>
<WORD coords="1378,1017,1414,963,1017">y</WORD>
<WORD coords="1456,1019,1602,944,997">digo</WORD>
<WORD coords="1637,998,1651,965,998">:</WORD>
<WORD coords="1719,1000,1743,952,1000">1</WORD>
<WORD coords="1811,1000,1918,963,998">vez</WORD>
<WORD coords="1972,1000,2008,950,1000">6</WORD>
<WORD coords="2055,1000,2118,965,1000">es</WORD>
<WORD coords="2170,1001,2206,952,1001">6</WORD>
<WORD coords="2241,1010,2258,993,1010">,</WORD>
<WORD coords="2296,1025,2497,962,1002">pnngfJ</WORD>
</LINE>
<LINE>
<WORD coords="143,1110,285,1059,1103">«ste.</WORD>
<WORD coords="335,1120,638,1047,1102">producto</WORD>
<WORD coords="680,1125,905,1047,1102">dtbajo</WORD>
<WORD coords="950,1104,1049,1049,1104">del</WORD>
<WORD coords="1109,1103,1145,1051,1103">6</WORD>
<WORD coords="1201,1123,1239,1068,1114">y</WORD>
<WORD coords="1291,1105,1474,1059,1103">resto.</WORD>
<WORD coords="1572,1105,1651,1050,1103">Al</WORD>
<WORD coords="1713,1105,1853,1049,1104">lado</WORD>
<WORD coords="1897,1106,1973,1051,1105">de</WORD>
<WORD coords="2024,1106,2078,1051,1105">la</WORD>
<WORD coords="2134,1108,2292,1067,1106">resta</WORD>
<WORD coords="2391,1110,2502,1055,1110">hi-</WORD>
</LINE>
<LINE>
<WORD coords="134,1234,205,1153,1209">jo</WORD>
<WORD coords="267,1210,321,1154,1209">el</WORD>
<WORD coords="359,1231,672,1153,1208">guarismo</WORD>
<WORD coords="731,1208,763,1160,1209">3</WORD>
<WORD coords="816,1230,853,1174,1230">y</WORD>
<WORD coords="910,1230,1059,1154,1209">digo</WORD>
<WORD coords="1095,1212,1108,1177,1211">:</WORD>
<WORD coords="1151,1210,1189,1158,1210">6</WORD>
<WORD coords="1248,1212,1322,1175,1211">en</WORD>
<WORD coords="1365,1210,1398,1162,1210">3</WORD>
<WORD coords="1456,1210,1533,1175,1210">no</WORD>
<WORD coords="1582,1212,1726,1156,1210">cabe</WORD>
<WORD coords="1760,1227,1777,1199,1227">,</WORD>
<WORD coords="1835,1230,1982,1176,1212">pues</WORD>
<WORD coords="2039,1215,2277,1159,1212">escribo</WORD>
<WORD coords="2331,1213,2372,1167,1213">O</WORD>
<WORD coords="2415,1216,2490,1178,1213">eri</WORD>
</LINE>
<LINE>
<WORD coords="145,1316,199,1261,1316">«1</WORD>
<WORD coords="263,1316,538,1261,1315">cociente</WORD>
<WORD coords="583,1337,622,1279,1337">y</WORD>
<WORD coords="663,1338,804,1259,1313">bajo</WORD>
<WORD coords="845,1318,872,1283,1318">e</WORD>
<WORD coords="884,1315,899,1262,1315">l</WORD>
<WORD coords="953,1318,1175,1260,1316">último</WORD>
<WORD coords="1220,1337,1534,1281,1316">guarismo</WORD>
<WORD coords="1591,1318,1627,1265,1318">6</WORD>
<WORD coords="1682,1336,1799,1283,1318">que</WORD>
<WORD coords="1856,1319,1913,1265,1318">lo</WORD>
<WORD coords="1968,1319,2208,1264,1317">escribo</WORD>
<WORD coords="2257,1320,2308,1265,1319">al</WORD>
<WORD coords="2363,1325,2508,1246,1322">Udáí</WORD>
</LINE>
<LINE>
<WORD coords="147,1422,257,1365,1421">del</WORD>
<WORD coords="315,1421,348,1371,1421">3</WORD>
<WORD coords="400,1442,440,1383,1442">y</WORD>
<WORD coords="496,1442,644,1365,1419">digo</WORD>
<WORD coords="676,1423,693,1389,1422">;</WORD>
<WORD coords="752,1420,789,1369,1421">6</WORD>
<WORD coords="830,1421,902,1386,1420">en</WORD>
<WORD coords="959,1420,1037,1370,1420">36</WORD>
<WORD coords="1088,1444,1107,1388,1433">¿</WORD>
<WORD coords="1142,1423,1409,1368,1422">Cuantas</WORD>
<WORD coords="1466,1424,1646,1387,1422">veces</WORD>
<WORD coords="1681,1424,1701,1368,1424">?</WORD>
<WORD coords="1793,1426,1933,1367,1424">Veo</WORD>
<WORD coords="1967,1443,2085,1388,1423">que</WORD>
<WORD coords="2143,1425,2284,1369,1423">cabe</WORD>
<WORD coords="2334,1424,2371,1375,1424">6</WORD>
<WORD coords="2409,1427,2511,1390,1424">ve*</WORD>
</LINE>
<LINE>
<WORD coords="150,1529,253,1491,1528">*es</WORD>
<WORD coords="283,1538,298,1517,1538">,</WORD>
<WORD coords="361,1545,509,1491,1527">pues</WORD>
<WORD coords="569,1539,809,1475,1527">coloco,</WORD>
<WORD coords="845,1528,882,1477,1528">6</WORD>
<WORD coords="941,1529,1013,1492,1528">en</WORD>
<WORD coords="1061,1528,1117,1474,1528">el</WORD>
<WORD coords="1175,1529,1447,1473,1528">cociente</WORD>
<WORD coords="1557,1548,1903,1475,1528">multiplico</WORD>
<WORD coords="1962,1549,2000,1494,1549">y</WORD>
<WORD coords="2057,1552,2203,1476,1528">digo</WORD>
<WORD coords="2242,1535,2258,1498,1534">:</WORD>
<WORD coords="2307,1533,2344,1481,1533">6</WORD>
<WORD coords="2407,1535,2515,1498,1533">ve-</WORD>
</LINE>
<LINE>
<WORD coords="147,1646,247,1596,1636">fes</WORD>
<WORD coords="281,1633,317,1581,1634">6</WORD>
<WORD coords="360,1634,469,1596,1633">son</WORD>
<WORD coords="520,1633,598,1581,1633">36</WORD>
<WORD coords="633,1649,650,1621,1642">,</WORD>
<WORD coords="680,1636,894,1579,1634">coloco</WORD>
<WORD coords="936,1638,1063,1592,1636">este</WORD>
<WORD coords="1109,1654,1410,1579,1634">producto</WORD>
<WORD coords="1458,1654,1681,1579,1633">debajo</WORD>
<WORD coords="1740,1635,1839,1580,1634">del</WORD>
<WORD coords="1892,1637,2232,1579,1635">dividendo</WORD>
<WORD coords="2292,1655,2522,1585,1638">parcial</WORD>
</LINE>
<LINE>
<WORD coords="152,1752,274,1686,1744">36,</WORD>
<WORD coords="328,1747,514,1697,1739">resto,</WORD>
<WORD coords="544,1761,584,1703,1751">y</WORD>
<WORD coords="640,1741,820,1704,1739">como</WORD>
<WORD coords="884,1742,980,1706,1742">me</WORD>
<WORD coords="1045,1742,1276,1687,1741">resulta</WORD>
<WORD coords="1436,1741,1513,1685,1741">de</WORD>
<WORD coords="1573,1742,1911,1683,1740">diferencia</WORD>
<WORD coords="1947,1760,1965,1730,1760">,</WORD>
<WORD coords="2025,1765,2328,1690,1742">concluyo</WORD>
<WORD coords="2388,1766,2508,1707,1746">que</WORD>
</LINE>
<LINE>
<WORD coords="148,1849,355,1792,1845">24636</WORD>
<WORD coords="411,1846,693,1792,1845">contiene</WORD>
<WORD coords="739,1848,903,1795,1847">4106</WORD>
<WORD coords="959,1848,1139,1810,1847">veces</WORD>
<WORD coords="1198,1847,1252,1795,1847">al</WORD>
<WORD coords="1312,1850,1375,1795,1849">6.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="316,1955,809,1896,1951">Demostración.</WORD>
<WORD coords="897,1953,995,1895,1952">Lo</WORD>
<WORD coords="1042,1971,1160,1917,1953">que</WORD>
<WORD coords="1210,1955,1275,1919,1954">se</WORD>
<WORD coords="1333,1957,1486,1898,1955">hace</WORD>
<WORD coords="1546,1955,1659,1917,1954">con</WORD>
<WORD coords="1714,1955,1867,1899,1955">cada</WORD>
<WORD coords="1925,1957,2041,1918,1955">una</WORD>
<WORD coords="2099,1957,2175,1903,1956">de</WORD>
<WORD coords="2230,1958,2320,1900,1956">las</WORD>
<WORD coords="2377,1974,2520,1919,1957">par*</WORD>
</LINE>
<LINE>
<WORD coords="151,2054,246,2008,2054">tes</WORD>
<WORD coords="282,2064,297,2043,2064">,</WORD>
<WORD coords="330,2073,534,1999,2056">queda</WORD>
<WORD coords="582,2058,780,2001,2056">hecho</WORD>
<WORD coords="836,2059,949,2022,2058">con</WORD>
<WORD coords="999,2060,1052,2005,2060">el</WORD>
<WORD coords="1111,2061,1257,2005,2059">todo</WORD>
<WORD coords="1314,2083,1361,2011,2072">(</WORD>
<WORD coords="1373,2062,1483,2006,2060">Ax&gt;</WORD>
<WORD coords="1540,2063,1594,2012,2061">3.</WORD>
<WORD coords="1619,2042,1650,2007,2042">c</WORD>
<WORD coords="1681,2079,1766,2010,2069">)&gt;;</WORD>
<WORD coords="1803,2082,1946,2022,2059">pero</WORD>
<WORD coords="2005,2062,2156,2006,2060">cada</WORD>
<WORD coords="2213,2080,2306,2026,2061">pai</WORD>
<WORD coords="2324,2064,2378,2021,2062">te</WORD>
<WORD coords="2416,2064,2521,2005,2063">del</WORD>
</LINE>
<LINE>
<WORD coords="157,2160,498,2102,2158">dividendo</WORD>
<WORD coords="548,2162,599,2111,2162">A</WORD>
<WORD coords="658,2164,875,2105,2162">hemos</WORD>
<WORD coords="936,2166,1224,2109,2164">dividido</WORD>
<WORD coords="1275,2183,1384,2130,2165">por</WORD>
<WORD coords="1434,2168,1486,2112,2168">B</WORD>
<WORD coords="1520,2182,1536,2156,2182">,</WORD>
<WORD coords="1590,2190,1632,2131,2179">y</WORD>
<WORD coords="1688,2169,1776,2116,2167">los</WORD>
<WORD coords="1835,2173,2141,2111,2167">cocientes</WORD>
<WORD coords="2202,2184,2501,2113,2168">parciales</WORD>
</LINE>
<LINE>
<WORD coords="152,2266,370,2205,2265">hemos</WORD>
<WORD coords="424,2273,686,2211,2267">reunido</WORD>
<WORD coords="749,2269,823,2233,2269">en</WORD>
<WORD coords="886,2271,933,2215,2271">C</WORD>
<WORD coords="1045,2293,1225,2218,2270">luego</WORD>
<WORD coords="1286,2274,1336,2217,2274">C</WORD>
<WORD coords="1397,2289,1713,2220,2272">espresará</WORD>
<WORD coords="1768,2275,1821,2220,2274">el</WORD>
<WORD coords="1853,2275,2133,2218,2273">cociente</WORD>
<WORD coords="2188,2273,2354,2217,2272">total.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="403,2386,546,2317,2374">Que</WORD>
<WORD coords="607,2376,759,2319,2374">cada</WORD>
<WORD coords="805,2395,973,2332,2376">parte</WORD>
<WORD coords="1029,2378,1128,2323,2378">del</WORD>
<WORD coords="1193,2380,1537,2323,2378">dividendo</WORD>
<WORD coords="1603,2382,1663,2330,2382">A</WORD>
<WORD coords="1715,2382,1779,2346,2381">se</WORD>
<WORD coords="1829,2402,1986,2326,2382">haya</WORD>
<WORD coords="2048,2383,2336,2325,2380">dividido</WORD>
<WORD coords="2405,2403,2522,2344,2386">por</WORD>
</LINE>
<LINE>
<WORD coords="152,2494,251,2421,2485">B,</WORD>
<WORD coords="318,2479,383,2443,2479">es</WORD>
<WORD coords="440,2496,797,2435,2479">constante,</WORD>
<WORD coords="845,2484,955,2447,2483">con</WORD>
<WORD coords="1011,2484,1142,2430,2482">solo</WORD>
<WORD coords="1191,2485,1482,2429,2484">observar</WORD>
<WORD coords="1549,2485,1602,2431,2485">el</WORD>
<WORD coords="1653,2488,1903,2433,2487">método</WORD>
<WORD coords="1964,2506,2083,2453,2488">que</WORD>
<WORD coords="2137,2488,2357,2430,2487">hemos</WORD>
<WORD coords="2418,2494,2522,2457,2493">se-</WORD>
</LINE>
<LINE>
<WORD coords="151,2610,368,2530,2587">guido.</WORD>
<WORD coords="460,2588,592,2531,2587">Con</WORD>
<WORD coords="653,2590,852,2531,2588">efecto</WORD>
<WORD coords="886,2605,902,2578,2599">,</WORD>
<WORD coords="933,2589,987,2537,2588">el</WORD>
<WORD coords="1041,2591,1381,2534,2589">dividendo</WORD>
<WORD coords="1439,2593,1642,2540,2591">24636</WORD>
<WORD coords="1694,2592,1749,2539,2591">lo</WORD>
<WORD coords="1802,2610,2096,2538,2591">prdem©s</WORD>
<WORD coords="2148,2619,2521,2539,2596">descompo-</WORD>
</LINE>
<LINE>
<WORD coords="159,2694,269,2655,2693">ner</WORD>
<WORD coords="325,2692,397,2657,2692">en</WORD>
<WORD coords="437,2693,467,2646,2695">2</WORD>
<WORD coords="502,2696,752,2639,2694">decenas</WORD>
<WORD coords="801,2697,870,2640,2696">de</WORD>
<WORD coords="923,2697,1121,2642,2695">millar</WORD>
<WORD coords="1321,2698,1361,2647,2698">4</WORD>
<WORD coords="1402,2698,1661,2641,2696">millares</WORD>
<WORD coords="1821,2698,1858,2647,2698">6</WORD>
<WORD coords="1890,2700,2168,2655,2698">centena*</WORD>
<WORD coords="2350,2706,2382,2657,2706">3</WORD>
<WORD coords="2420,2710,2519,2651,2709">de-</WORD>
</LINE>
<LINE>
<WORD coords="142,2801,319,2761,2799">cenas</WORD>
<WORD coords="393,2826,488,2742,2826">-J-</WORD>
<WORD coords="542,2800,577,2747,2803">6</WORD>
<WORD coords="635,2802,930,2746,2801">unidades</WORD>
<WORD coords="975,2809,991,2786,2809">,</WORD>
<WORD coords="1058,2822,1175,2767,2808">que</WORD>
<WORD coords="1233,2822,1367,2767,2802">para</WORD>
<WORD coords="1430,2824,1647,2768,2803">mayor</WORD>
<WORD coords="1717,2805,1994,2749,2804">claridad</WORD>
<WORD coords="2060,2827,2515,2758,2812">supondremos</WORD>
</LINE>
<LINE>
<WORD coords="140,2922,259,2867,2905">que</WORD>
<WORD coords="326,2904,435,2869,2903">son</WORD>
<WORD coords="493,2926,671,2870,2905">pesos</WORD>
<WORD coords="710,2919,726,2895,2919">,</WORD>
<WORD coords="767,2928,808,2869,2919">y</WORD>
<WORD coords="846,2908,903,2852,2908">el</WORD>
<WORD coords="964,2908,1055,2851,2907">div</WORD>
<WORD coords="1080,2909,1205,2854,2908">isor</WORD>
<WORD coords="1248,2930,1598,2866,2908">represente</WORD>
<WORD coords="1657,2912,1973,2852,2910">hambres.</WORD>
<WORD coords="2067,2916,2263,2857,2914">Cerno</WORD>
<WORD coords="2318,2921,2354,2873,2921">2</WORD>
<WORD coords="2406,2924,2515,2868,2922">de-</WORD>
</LINE>
<LINE>
<WORD coords="140,3011,318,2972,3009">cenas</WORD>
<WORD coords="389,3012,465,2955,3011">de</WORD>
<WORD coords="522,3013,724,2956,3011">millar</WORD>
<WORD coords="779,3027,1124,2959,3013">repartidas</WORD>
<WORD coords="1183,3017,1228,2962,3017">¡L</WORD>
<WORD coords="1270,3014,1361,2962,3014">los</WORD>
<WORD coords="1413,3015,1449,2964,3015">6</WORD>
<WORD coords="1503,3017,1798,2960,3015">hembres</WORD>
<WORD coords="1867,3016,1945,2981,3016">no</WORD>
<WORD coords="2001,3016,2089,2962,3015">les</WORD>
<WORD coords="2140,3023,2285,2967,3020">cube</WORD>
<WORD coords="2333,3026,2358,2978,3026">á</WORD>
<WORD coords="2404,3032,2511,2975,3030">de-</WORD>
</LINE>
<LINE>
<WORD coords="136,3116,286,3078,3114">cena</WORD>
<WORD coords="339,3117,417,3061,3117">de</WORD>
<WORD coords="487,3118,686,3062,3117">millar</WORD>
<WORD coords="727,3121,895,3064,3119">cabal</WORD>
<WORD coords="931,3135,949,3108,3128">,</WORD>
<WORD coords="995,3121,1080,3064,3120">las</WORD>
<WORD coords="1132,3123,1486,3066,3120">reducimos</WORD>
<WORD coords="1546,3121,1578,3066,3121">á</WORD>
<WORD coords="1628,3122,1893,3068,3120">millares</WORD>
<WORD coords="1936,3144,1979,3087,3134">y</WORD>
<WORD coords="2032,3124,2159,3089,3123">son.</WORD>
<WORD coords="2177,3144,2288,3081,3134">20;</WORD>
<WORD coords="2340,3131,2363,3086,3131">á</WORD>
<WORD coords="2403,3135,2498,3099,3134">es-</WORD>
</LINE>
<LINE>
<WORD coords="136,3223,234,3175,3221">tos</WORD>
<WORD coords="301,3221,382,3172,3223">20</WORD>
<WORD coords="438,3224,709,3167,3221">millares</WORD>
<WORD coords="767,3226,1083,3172,3224">reunimos</WORD>
<WORD coords="1140,3226,1229,3172,3225">los</WORD>
<WORD coords="1290,3226,1330,3180,3227">4</WORD>
<WORD coords="1400,3227,1668,3171,3225">millares</WORD>
<WORD coords="1735,3246,1843,3192,3227">por</WORD>
<WORD coords="1901,3231,1995,3195,3230">ser</WORD>
<WORD coords="2067,3237,2368,3176,3232">unidades</WORD>
<WORD coords="2427,3241,2504,3184,3239">de</WORD>
</LINE>
<LINE>
<WORD coords="135,3328,218,3289,3326">un</WORD>
<WORD coords="279,3326,501,3272,3325">mismo</WORD>
<WORD coords="558,3350,754,3274,3329">grado</WORD>
<WORD coords="783,3345,800,3319,3345">,</WORD>
<WORD coords="846,3350,885,3295,3341">y</WORD>
<WORD coords="942,3332,1298,3276,3330">tendremos</WORD>
<WORD coords="1355,3332,1441,3285,3332">24</WORD>
<WORD coords="1490,3333,1764,3277,3331">miliares</WORD>
<WORD coords="1822,3353,1939,3299,3335">que</WORD>
<WORD coords="2008,3341,2330,3280,3336">divididos</WORD>
<WORD coords="2394,3361,2504,3303,3342">por</WORD>
</LINE>
<LINE>
<WORD coords="135,3431,172,3379,3435">6</WORD>
<WORD coords="208,3444,222,3420,3441">^</WORD>
<WORD coords="250,3432,368,3376,3431">dan</WORD>
<WORD coords="427,3434,467,3383,3436">4</WORD>
<WORD coords="518,3435,594,3378,3434">de</WORD>
<WORD coords="629,3438,896,3381,3435">cociente</WORD>
<WORD coords="933,3453,950,3404,3453">;</WORD>
<WORD coords="1003,3457,1119,3399,3437">por,</WORD>
<WORD coords="1148,3438,1247,3401,3438">ser</WORD>
<WORD coords="1301,3439,1462,3396,3438">estas</WORD>
<WORD coords="1512,3439,1552,3389,3439">4</WORD>
<WORD coords="1603,3441,1907,3384,3439">unidades</WORD>
<WORD coords="1960,3443,2037,3386,3442">de</WORD>
<WORD coords="2093,3446,2291,3391,3444">millar</WORD>
<WORD coords="2327,3470,2345,3436,3460">,</WORD>
<WORD coords="2396,3451,2499,3398,3449">de-</WORD>
</LINE>
<LINE>
<WORD coords="145,3539,332,3481,3537">berán</WORD>
<WORD coords="387,3543,713,3485,3540">escribirse</WORD>
<WORD coords="748,3563,889,3487,3549">(26)</WORD>
<WORD coords="924,3544,997,3508,3543">en</WORD>
<WORD coords="1056,3544,1110,3489,3543">el</WORD>
<WORD coords="1166,3546,1379,3501,3543">cuarto</WORD>
<WORD coords="1435,3565,1611,3490,3544">lugar</WORD>
<WORD coords="1670,3548,1975,3491,3546">contando</WORD>
<WORD coords="2032,3548,2108,3493,3547">de</WORD>
<WORD coords="2175,3557,2496,3495,3551">deiediaá</WORD>
</LINE>
<LINE>
<WORD coords="160,3661,490,3585,3643">izquierda</WORD>
<WORD coords="512,3661,528,3634,3661">,</WORD>
<WORD coords="562,3665,679,3610,3646">que</WORD>
<WORD coords="714,3669,909,3611,3647">según</WORD>
<WORD coords="962,3650,1215,3605,3649">nuestro</WORD>
<WORD coords="1277,3650,1461,3595,3649">modo</WORD>
<WORD coords="1506,3650,1581,3597,3649">de</WORD>
<WORD coords="1617,3653,1875,3597,3651">escribir</WORD>
<WORD coords="1904,3666,1918,3644,3660">,</WORD>
<WORD coords="1950,3654,2104,3598,3652">debe</WORD>
<WORD coords="2163,3656,2260,3621,3655">ser</WORD>
<WORD coords="2292,3659,2344,3606,3658">el</WORD>
<WORD coords="2379,3664,2496,3607,3662">pri-</WORD>
</LINE>
<LINE>
<WORD coords="152,3747,190,3710,3747">n</WORD>
<WORD coords="220,3749,321,3713,3748">tro</WORD>
<WORD coords="366,3750,443,3696,3749">de</WORD>
<WORD coords="489,3769,810,3694,3751">izquierda</WORD>
<WORD coords="857,3753,886,3701,3755">á</WORD>
<WORD coords="933,3759,1243,3698,3753">derecha..</WORD>
<WORD coords="1319,3757,1538,3697,3754">Ahora</WORD>
<WORD coords="1572,3772,1588,3745,3772">,</WORD>
<WORD coords="1655,3773,2136,3702,3756">multiplicamos</WORD>
<WORD coords="2203,3764,2329,3724,3762">este</WORD>
<WORD coords="2393,3767,2497,3730,3766">co-</WORD>
</LINE>
<LINE>
<WORD coords="135,3854,336,3796,3852">ciente</WORD>
<WORD coords="388,3873,494,3817,3854">por</WORD>
<WORD coords="542,3857,595,3801,3856">el</WORD>
<WORD coords="644,3858,887,3801,3856">divisor</WORD>
<WORD coords="920,3879,958,3823,3870">y</WORD>
<WORD coords="1006,3859,1062,3804,3859">le</WORD>
<WORD coords="1104,3861,1404,3819,3859">restamos</WORD>
<WORD coords="1434,3861,1534,3806,3860">del</WORD>
<WORD coords="1591,3863,1932,3808,3862">dividendo</WORD>
<WORD coords="1983,3882,2206,3810,3865">parcial</WORD>
<WORD coords="2255,3881,2352,3824,3875">24,</WORD>
<WORD coords="2393,3889,2491,3834,3874">pa.</WORD>
</LINE>
<LINE>
<WORD coords="155,3957,219,3916,3954">ra</WORD>
<WORD coords="266,3960,374,3923,3959">ver</WORD>
<WORD coords="432,3962,519,3905,3961">las</WORD>
<WORD coords="577,3964,882,3906,3962">unidades</WORD>
<WORD coords="932,3983,1050,3929,3965">que</WORD>
<WORD coords="1101,3982,1345,3912,3964">pueden</WORD>
<WORD coords="1404,3965,1631,3910,3963">sobrar.</WORD>
<WORD coords="1730,3967,1925,3912,3965">Como</WORD>
<WORD coords="1978,3969,2051,3935,3969">no</WORD>
<WORD coords="2117,3974,2299,3919,3972">s&lt;b;ó</WORD>
<WORD coords="2364,3974,2498,3919,3973">nin-</WORD>
</LINE>
<LINE>
<WORD coords="133,4085,264,4024,4062">gún</WORD>
<WORD coords="308,4070,507,4010,4067">iuiiUr</WORD>
<WORD coords="535,4085,557,4053,4085">t</WORD>
<WORD coords="598,4092,877,4011,4070">bajaaao»</WORD>
<WORD coords="937,4074,1024,4016,4072">las</WORD>
<WORD coords="1067,4072,1104,4019,4072">6</WORD>
<WORD coords="1159,4073,1449,4030,4072">centenas</WORD>
<WORD coords="1489,4094,1526,4036,4086">y</WORD>
<WORD coords="1575,4078,1918,4018,4076">dividimos</WORD>
<WORD coords="1976,4100,2077,4041,4078">poi</WORD>
<WORD coords="2129,4075,2165,4026,4075">6</WORD>
<WORD coords="2198,4097,2216,4065,4087">,</WORD>
<WORD coords="2267,4077,2319,4024,4076">ti</WORD>
<WORD coords="2399,4081,2498,4041,4080">co-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0041.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0042.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0042.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1840,584,1986,494,584">31</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="730,711,930,655,708">cíente</WORD>
<WORD coords="982,708,1008,656,707">1</WORD>
<WORD coords="1050,707,1297,661,705">centena</WORD>
<WORD coords="1346,704,1501,646,703">debe</WORD>
<WORD coords="1549,704,1713,655,702">estar</WORD>
<WORD coords="1756,702,1831,665,701">en</WORD>
<WORD coords="1876,702,2075,659,701">tercer</WORD>
<WORD coords="2118,724,2295,646,701">lugar</WORD>
<WORD coords="2343,721,2382,665,721">y</WORD>
<WORD coords="2428,721,2538,662,702">por</WORD>
<WORD coords="2569,704,2700,655,703">esto</WORD>
<WORD coords="2750,704,2815,647,704">lo</WORD>
<WORD coords="2850,706,3102,647,703">coloca-</WORD>
</LINE>
<LINE>
<WORD coords="735,817,869,780,814">mos</WORD>
<WORD coords="912,815,944,757,814">á</WORD>
<WORD coords="1002,814,1056,758,813">la</WORD>
<WORD coords="1100,812,1365,754,810">derecha</WORD>
<WORD coords="1412,809,1509,753,808">del</WORD>
<WORD coords="1570,809,1845,751,808">cociente</WORD>
<WORD coords="1892,829,1974,763,816">4;</WORD>
<WORD coords="2030,808,2084,753,808">el</WORD>
<WORD coords="2161,808,2213,773,808">c(</WORD>
<WORD coords="2238,809,2433,753,808">cíente</WORD>
<WORD coords="2494,810,2551,754,809">lo</WORD>
<WORD coords="2614,828,3099,752,807">multiplicamos</WORD>
</LINE>
<LINE>
<WORD coords="731,943,843,883,918">por</WORD>
<WORD coords="889,920,944,866,919">ei</WORD>
<WORD coords="1000,919,1235,862,917">divisor</WORD>
<WORD coords="1304,935,1341,881,925">y</WORD>
<WORD coords="1382,915,1684,870,914">restamos</WORD>
<WORD coords="1720,932,1738,905,932">,</WORD>
<WORD coords="1796,934,1936,877,913">para</WORD>
<WORD coords="1991,915,2097,877,914">ver</WORD>
<WORD coords="2170,916,2255,861,915">las</WORD>
<WORD coords="2312,917,2596,871,915">centenas</WORD>
<WORD coords="2669,938,2786,882,919">que</WORD>
<WORD coords="2841,935,3087,861,916">puedan</WORD>
</LINE>
<LINE>
<WORD coords="732,1031,948,975,1026">sobrar</WORD>
<WORD coords="980,1040,996,1015,1040">,</WORD>
<WORD coords="1040,1045,1077,990,1035">y</WORD>
<WORD coords="1133,1025,1434,966,1022">reunirías</WORD>
<WORD coords="1482,1022,1595,985,1021">c®n</WORD>
<WORD coords="1642,1022,1729,967,1021">las</WORD>
<WORD coords="1788,1022,1952,979,1021">otras</WORD>
<WORD coords="2013,1022,2046,973,1022">3</WORD>
<WORD coords="2094,1038,2395,967,1023">decenas,</WORD>
<WORD coords="2449,1045,2568,990,1026">que</WORD>
<WORD coords="2636,1044,2745,988,1025">por</WORD>
<WORD coords="2803,1024,2931,980,1023">esta</WORD>
<WORD coords="2979,1023,3076,984,1021">ra-</WORD>
<WORD coords="3089,996,3100,961,996">;</WORD>
</LINE>
<LINE>
<WORD coords="732,1136,848,1098,1135">zon</WORD>
<WORD coords="901,1134,989,1078,1133">las</WORD>
<WORD coords="1039,1158,1313,1077,1130">bajamos</WORD>
<WORD coords="1369,1131,1423,1075,1130">ai</WORD>
<WORD coords="1469,1130,1611,1074,1129">lado</WORD>
<WORD coords="1666,1130,1742,1074,1130">de</WORD>
<WORD coords="1783,1132,1838,1075,1130">la</WORD>
<WORD coords="1883,1131,2046,1084,1129">resta</WORD>
<WORD coords="2085,1130,2097,1095,1130">:</WORD>
<WORD coords="2149,1128,2182,1080,1129">3</WORD>
<WORD coords="2234,1132,2494,1075,1129">decenas</WORD>
<WORD coords="2545,1132,2863,1073,1129">divididas</WORD>
<WORD coords="2920,1128,3096,1084,1127">entre</WORD>
</LINE>
<LINE>
<WORD coords="732,1254,812,1193,1246">6,</WORD>
<WORD coords="864,1241,942,1205,1240">no</WORD>
<WORD coords="1004,1259,1203,1183,1239">puede</WORD>
<WORD coords="1253,1238,1526,1183,1236">caberles</WORD>
<WORD coords="1575,1237,1605,1185,1237">á</WORD>
<WORD coords="1655,1250,1932,1181,1235">decena,</WORD>
<WORD coords="1977,1235,2016,1180,1235">ó</WORD>
<WORD coords="2066,1235,2152,1178,1234">les</WORD>
<WORD coords="2200,1236,2346,1179,1234">cabe</WORD>
<WORD coords="2398,1235,2541,1198,1234">cero</WORD>
<WORD coords="2602,1250,2889,1181,1235">decena,</WORD>
<WORD coords="2945,1251,3098,1195,1231">pon-</WORD>
</LINE>
<LINE>
<WORD coords="729,1350,983,1293,1347">dremos</WORD>
<WORD coords="1041,1364,1190,1311,1345">pues</WORD>
<WORD coords="1229,1346,1271,1296,1346">O</WORD>
<WORD coords="1324,1344,1585,1288,1343">decenas</WORD>
<WORD coords="1642,1343,1716,1307,1342">en</WORD>
<WORD coords="1774,1343,1832,1286,1342">ei</WORD>
<WORD coords="1888,1341,2179,1288,1340">cociente,</WORD>
<WORD coords="2275,1341,2400,1283,1339">Las</WORD>
<WORD coords="2454,1340,2487,1291,1341">3</WORD>
<WORD coords="2541,1342,2802,1286,1340">decenas</WORD>
<WORD coords="2847,1341,3099,1283,1339">reduci-</WORD>
</LINE>
<LINE>
<WORD coords="731,1458,867,1420,1456">rnos</WORD>
<WORD coords="916,1456,945,1403,1455">á</WORD>
<WORD coords="1016,1454,1094,1405,1454">30</WORD>
<WORD coords="1148,1454,1449,1395,1451">unidades</WORD>
<WORD coords="1482,1466,1497,1439,1466">,</WORD>
<WORD coords="1558,1467,1703,1411,1448">pero</WORD>
<WORD coords="1750,1451,1927,1410,1447">como</WORD>
<WORD coords="1993,1466,2114,1390,1447">hay</WORD>
<WORD coords="2174,1449,2425,1390,1448">ademas</WORD>
<WORD coords="2496,1448,2533,1396,1448">6</WORD>
<WORD coords="2596,1453,2896,1392,1449">unidades</WORD>
<WORD coords="2928,1466,2947,1436,1458">,</WORD>
<WORD coords="2988,1450,3102,1393,1448">las&apos;</WORD>
</LINE>
<LINE>
<WORD coords="728,1585,1008,1508,1562">bajamos</WORD>
<WORD coords="1070,1578,1213,1523,1559">para</WORD>
<WORD coords="1269,1560,1573,1502,1557">sumarlas</WORD>
<WORD coords="1622,1555,1731,1519,1554">con</WORD>
<WORD coords="1784,1555,1869,1499,1554">las</WORD>
<WORD coords="1910,1555,1989,1505,1554">30</WORD>
<WORD coords="2019,1560,2036,1536,1560">,</WORD>
<WORD coords="2109,1574,2149,1517,1574">y</WORD>
<WORD coords="2214,1574,2553,1516,1552">componen</WORD>
<WORD coords="2629,1554,2707,1502,1554">36</WORD>
<WORD coords="2785,1557,3092,1497,1554">unidades</WORD>
</LINE>
<LINE>
<WORD coords="728,1692,1081,1613,1668">primitivas</WORD>
<WORD coords="1130,1676,1147,1637,1672">;</WORD>
<WORD coords="1197,1669,1396,1611,1667">Como</WORD>
<WORD coords="1497,1664,1550,1609,1662">el</WORD>
<WORD coords="1626,1662,1664,1611,1662">6</WORD>
<WORD coords="1733,1663,1879,1608,1662">cabe</WORD>
<WORD coords="1934,1661,1970,1609,1662">6</WORD>
<WORD coords="2036,1662,2217,1623,1659">veces</WORD>
<WORD coords="2303,1661,2377,1625,1660">en</WORD>
<WORD coords="2443,1659,2513,1608,1660">36</WORD>
<WORD coords="2547,1672,2561,1648,1672">,</WORD>
<WORD coords="2610,1679,2980,1604,1659">pondremos</WORD>
<WORD coords="3039,1662,3100,1603,1661">el</WORD>
</LINE>
<LINE>
<WORD coords="733,1778,1010,1721,1775">cociente</WORD>
<WORD coords="1059,1773,1095,1722,1773">6</WORD>
<WORD coords="1140,1775,1214,1737,1774">en</WORD>
<WORD coords="1266,1774,1324,1719,1774">el</WORD>
<WORD coords="1378,1792,1553,1718,1772">lugar</WORD>
<WORD coords="1599,1771,1675,1715,1770">de</WORD>
<WORD coords="1724,1770,1808,1716,1769">las</WORD>
<WORD coords="1868,1770,2168,1711,1767">unidades</WORD>
<WORD coords="2199,1784,2218,1755,1784">f</WORD>
<WORD coords="2276,1785,2756,1708,1765">multiplicamos</WORD>
<WORD coords="2813,1786,2853,1729,1777">y</WORD>
<WORD coords="2899,1766,3094,1720,1765">resta-</WORD>
</LINE>
<LINE>
<WORD coords="733,1887,870,1847,1885">mos</WORD>
<WORD coords="909,1896,925,1871,1896">,</WORD>
<WORD coords="980,1902,1015,1845,1891">y</WORD>
<WORD coords="1064,1881,1222,1824,1880">nada</WORD>
<WORD coords="1267,1881,1464,1824,1879">sobra.</WORD>
<WORD coords="1567,1877,1643,1821,1877">El</WORD>
<WORD coords="1710,1877,2177,1819,1874">razonamiento</WORD>
<WORD coords="2209,1886,2225,1861,1886">,</WORD>
<WORD coords="2283,1891,2401,1836,1872">que</WORD>
<WORD coords="2460,1873,2790,1818,1871">acabamos</WORD>
<WORD coords="2848,1872,2925,1815,1872">de</WORD>
<WORD coords="2982,1873,3103,1814,1872">ha-</WORD>
</LINE>
<LINE>
<WORD coords="733,2007,877,1953,1992">cer,</WORD>
<WORD coords="921,1991,978,1938,1991">lo</WORD>
<WORD coords="1026,2009,1351,1935,1988">podremos</WORD>
<WORD coords="1400,2002,1630,1931,1986">aplicar</WORD>
<WORD coords="1686,1984,1714,1931,1984">á</WORD>
<WORD coords="1767,2004,2083,1927,1983">cualquier</WORD>
<WORD coords="2141,1982,2279,1936,1980">otro</WORD>
<WORD coords="2323,2003,2640,1924,1978">ejemplo,</WORD>
<WORD coords="2690,1999,2732,1942,1998">y</WORD>
<WORD coords="2778,1998,2888,1939,1978">por</WORD>
<WORD coords="2931,1981,3078,1937,1978">con-</WORD>
</LINE>
<LINE>
<WORD coords="734,2122,1048,2043,2098">siguiente</WORD>
<WORD coords="1097,2099,1325,2042,2096">resulta</WORD>
<WORD coords="1375,2097,1451,2040,2096">L.</WORD>
<WORD coords="1509,2107,1572,2036,2101">Q</WORD>
<WORD coords="1657,2094,1737,2036,2092">D.</WORD>
<WORD coords="1796,2092,1876,2034,2091">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="908,2210,987,2158,2208">70</WORD>
<WORD coords="1040,2208,1305,2150,2205">Escolio.</WORD>
<WORD coords="1401,2204,1516,2148,2198">1.°</WORD>
<WORD coords="1588,2205,1692,2144,2202">Un</WORD>
<WORD coords="1747,2200,2003,2160,2198">numero</WORD>
<WORD coords="2046,2196,2337,2137,2195">dividido</WORD>
<WORD coords="2389,2211,2501,2154,2192">por</WORD>
<WORD coords="2533,2191,2584,2134,2190">si</WORD>
<WORD coords="2635,2191,2861,2130,2188">mismo</WORD>
<WORD coords="2906,2190,2985,2132,2190">da</WORD>
<WORD coords="3029,2191,3108,2131,2191">de</WORD>
</LINE>
<LINE>
<WORD coords="742,2321,1030,2263,2317">cociente</WORD>
<WORD coords="1100,2327,1177,2266,2316">1,</WORD>
<WORD coords="1236,2311,1294,2275,2311">v.</WORD>
<WORD coords="1354,2331,1412,2273,2315">g.</WORD>
<WORD coords="1459,2309,1498,2257,2309">6</WORD>
<WORD coords="1527,2310,1543,2273,2309">:</WORD>
<WORD coords="1612,2308,1648,2256,2307">6</WORD>
<WORD coords="1839,2306,1858,2258,2306">1</WORD>
<WORD coords="1893,2322,1914,2273,2322">;</WORD>
<WORD coords="1960,2322,2069,2265,2302">por</WORD>
<WORD coords="2127,2322,2246,2266,2302">que</WORD>
<WORD coords="2317,2300,2465,2244,2299">todo</WORD>
<WORD coords="2522,2297,2780,2257,2295">numero</WORD>
<WORD coords="2838,2293,2902,2257,2292">se</WORD>
<WORD coords="2957,2295,3099,2258,2294">coa-</WORD>
</LINE>
<LINE>
<WORD coords="741,2429,905,2373,2427">tiene</WORD>
<WORD coords="956,2427,1071,2387,2423">una</WORD>
<WORD coords="1117,2423,1236,2384,2422">vez</WORD>
<WORD coords="1283,2418,1313,2364,2418">á</WORD>
<WORD coords="1362,2418,1412,2362,2417">si</WORD>
<WORD coords="1460,2417,1703,2360,2415">mismo.</WORD>
<WORD coords="1797,2414,1915,2357,2408">2.°</WORD>
<WORD coords="1971,2413,2080,2354,2411">Un</WORD>
<WORD coords="2125,2410,2382,2370,2407">numero</WORD>
<WORD coords="2430,2404,2719,2347,2402">dividido</WORD>
<WORD coords="2765,2422,2875,2366,2403">por</WORD>
<WORD coords="2925,2400,2950,2352,2405">1</WORD>
<WORD coords="2982,2414,2996,2387,2412">,</WORD>
<WORD coords="3027,2401,3113,2341,2401">da</WORD>
</LINE>
<LINE>
<WORD coords="739,2536,817,2478,2535">de</WORD>
<WORD coords="869,2533,1147,2475,2530">cociente</WORD>
<WORD coords="1211,2525,1264,2470,2525">el</WORD>
<WORD coords="1324,2524,1551,2467,2523">mismo</WORD>
<WORD coords="1601,2523,1858,2463,2521">número</WORD>
<WORD coords="1892,2538,1912,2507,2528">,</WORD>
<WORD coords="1966,2519,2059,2460,2517">asi</WORD>
<WORD coords="2115,2518,2155,2467,2518">4</WORD>
<WORD coords="2194,2517,2207,2482,2518">:</WORD>
<WORD coords="2254,2514,2273,2466,2516">1</WORD>
<WORD coords="2311,2523,2417,2484,2521">=</WORD>
<WORD coords="2439,2511,2476,2461,2515">4</WORD>
<WORD coords="2505,2525,2521,2477,2525">;</WORD>
<WORD coords="2572,2527,2682,2471,2509">por</WORD>
<WORD coords="2726,2533,2843,2475,2513">que</WORD>
<WORD coords="2886,2511,2967,2471,2509">un</WORD>
<WORD coords="2996,2507,3108,2468,2506">nu-</WORD>
</LINE>
<LINE>
<WORD coords="738,2650,914,2609,2648">mero</WORD>
<WORD coords="963,2642,1116,2585,2641">debe</WORD>
<WORD coords="1172,2639,1468,2592,2636">contener</WORD>
<WORD coords="1519,2635,1717,2588,2632">tantas</WORD>
<WORD coords="1765,2631,1944,2593,2629">veces</WORD>
<WORD coords="2020,2628,2072,2573,2627">la</WORD>
<WORD coords="2119,2636,2389,2568,2624">unidad,</WORD>
<WORD coords="2436,2621,2686,2573,2618">cuantas</WORD>
<WORD coords="2748,2631,2993,2578,2615">espresa</WORD>
<WORD coords="3047,2611,3106,2552,2611">el</WORD>
</LINE>
<LINE>
<WORD coords="739,2756,967,2698,2751">mismo</WORD>
<WORD coords="1002,2770,1021,2722,2759">;</WORD>
<WORD coords="1080,2749,1155,2695,2748">de</WORD>
<WORD coords="1203,2763,1346,2690,2745">aquí</WORD>
<WORD coords="1407,2743,1471,2705,2742">se</WORD>
<WORD coords="1531,2740,1770,2682,2738">deduce</WORD>
<WORD coords="1832,2756,1949,2699,2736">que</WORD>
<WORD coords="1998,2735,2035,2699,2735">a</WORD>
<WORD coords="2091,2733,2224,2677,2731">todo</WORD>
<WORD coords="2284,2731,2528,2689,2727">numero</WORD>
<WORD coords="2586,2723,2652,2686,2722">se</WORD>
<WORD coords="2706,2723,2756,2667,2722">le</WORD>
<WORD coords="2778,2743,2972,2664,2720">puede</WORD>
<WORD coords="2997,2739,3106,2672,2718">po-</WORD>
</LINE>
<LINE>
<WORD coords="742,2865,858,2824,2862">ner</WORD>
<WORD coords="904,2861,961,2807,2860">la</WORD>
<WORD coords="1014,2858,1255,2799,2855">unidad</WORD>
<WORD coords="1280,2874,1399,2807,2852">por</WORD>
<WORD coords="1456,2851,1689,2794,2848">divisor</WORD>
<WORD coords="1723,2867,1742,2833,2856">,</WORD>
<WORD coords="1771,2845,1871,2788,2845">sin</WORD>
<WORD coords="1929,2867,2040,2805,2842">que</WORD>
<WORD coords="2084,2840,2149,2803,2839">se</WORD>
<WORD coords="2206,2839,2393,2782,2836">altere</WORD>
<WORD coords="2443,2833,2516,2796,2833">su</WORD>
<WORD coords="2566,2830,2754,2772,2827">valor,</WORD>
<WORD coords="2808,2826,2867,2776,2831">3.</WORD>
<WORD coords="2894,2807,2929,2771,2824">°</WORD>
<WORD coords="2984,2825,3103,2769,2824">Ce-</WORD>
</LINE>
<LINE>
<WORD coords="739,2971,815,2931,2971">lo</WORD>
<WORD coords="886,2968,1175,2907,2963">dividido</WORD>
<WORD coords="1246,2978,1356,2922,2957">por</WORD>
<WORD coords="1428,2958,1511,2919,2957">un</WORD>
<WORD coords="1599,2963,1910,2914,2952">numero,</WORD>
<WORD coords="2020,2948,2056,2894,2947">ó</WORD>
<WORD coords="2125,2946,2204,2909,2945">un</WORD>
<WORD coords="2270,2943,2538,2903,2940">numero</WORD>
<WORD coords="2609,2937,2898,2876,2933">dividido</WORD>
<WORD coords="2986,2948,3099,2890,2928">por</WORD>
</LINE>
<LINE>
<WORD coords="742,3079,888,3040,3077">cero</WORD>
<WORD coords="919,3087,936,3063,3079">,</WORD>
<WORD coords="976,3072,1053,3017,3071">da</WORD>
<WORD coords="1097,3070,1172,3014,3069">de</WORD>
<WORD coords="1221,3068,1500,3009,3065">cociente</WORD>
<WORD coords="1563,3060,1724,3023,3059">cero.</WORD>
<WORD coords="1813,3057,1870,3006,3054">4.</WORD>
<WORD coords="1897,3038,1933,3002,3046">°</WORD>
<WORD coords="1996,3054,2084,2999,3053">En</WORD>
<WORD coords="2130,3053,2209,3015,3051">un</WORD>
<WORD coords="2254,3049,2528,3001,3046">cociente</WORD>
<WORD coords="2591,3064,2813,2984,3038">parcial</WORD>
<WORD coords="2864,3035,2940,2999,3034">no</WORD>
<WORD coords="3021,3034,3088,2995,3033">ss</WORD>
</LINE>
<LINE>
<WORD coords="741,3204,945,3128,3183">puede</WORD>
<WORD coords="995,3197,1184,3141,3178">poner</WORD>
<WORD coords="1231,3173,1360,3138,3172">mas</WORD>
<WORD coords="1419,3172,1496,3118,3172">de</WORD>
<WORD coords="1558,3169,1594,3117,3169">9</WORD>
<WORD coords="1626,3183,1641,3156,3174">,</WORD>
<WORD coords="1687,3165,1789,3129,3165">ora</WORD>
<WORD coords="1850,3163,1903,3108,3162">el</WORD>
<WORD coords="1960,3162,2302,3101,3158">dividendo</WORD>
<WORD coords="2346,3173,2387,3118,3166">y</WORD>
<WORD coords="2452,3150,2505,3097,3150">el</WORD>
<WORD coords="2580,3149,2819,3088,3144">divisor</WORD>
<WORD coords="2884,3160,3113,3099,3139">tengan</WORD>
</LINE>
<LINE>
<WORD coords="745,3297,829,3254,3293">un</WORD>
<WORD coords="903,3289,1129,3233,3287">m&apos;vmo</WORD>
<WORD coords="1193,3284,1455,3243,3281">numero</WORD>
<WORD coords="1515,3278,1592,3221,3277">de</WORD>
<WORD coords="1651,3297,1999,3215,3271">guarismos</WORD>
<WORD coords="2045,3282,2062,3255,3274">,</WORD>
<WORD coords="2109,3266,2215,3228,3265">ora</WORD>
<WORD coords="2272,3263,2327,3207,3262">el</WORD>
<WORD coords="2387,3261,2730,3197,3256">dividendo</WORD>
<WORD coords="2785,3270,2969,3206,3247">tenga</WORD>
<WORD coords="3026,3246,3109,3207,3245">un</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="751,3432,1071,3350,3405">guarismo</WORD>
<WORD coords="1126,3399,1284,3359,3397">mas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="998,3511,1065,3453,3509">Si</WORD>
<WORD coords="1124,3505,1339,3448,3502">ambos</WORD>
<WORD coords="1392,3498,1692,3438,3493">términos</WORD>
<WORD coords="1753,3486,1957,3430,3484">tienen</WORD>
<WORD coords="2018,3481,2097,3442,3479">un</WORD>
<WORD coords="2153,3475,2377,3419,3473">mismo</WORD>
<WORD coords="2431,3469,2692,3428,3465">numero</WORD>
<WORD coords="2737,3462,2814,3407,3462">de</WORD>
<WORD coords="2874,3481,3116,3420,3457">guarís-</WORD>
</LINE>
<LINE>
<WORD coords="748,3626,890,3585,3622">tnos</WORD>
<WORD coords="922,3634,939,3610,3628">,</WORD>
<WORD coords="985,3622,1434,3559,3613">supondremos</WORD>
<WORD coords="1488,3622,1605,3567,3602">que</WORD>
<WORD coords="1653,3598,1709,3545,3597">el</WORD>
<WORD coords="1760,3596,2101,3531,3590">dividendo</WORD>
<WORD coords="2158,3582,2258,3544,3581">sea</WORD>
<WORD coords="2314,3576,2350,3526,3582">9</WORD>
<WORD coords="2409,3594,2444,3540,3591">y</WORD>
<WORD coords="2505,3570,2560,3517,3570">el</WORD>
<WORD coords="2596,3569,2838,3512,3566">divisor</WORD>
<WORD coords="2904,3565,2930,3518,3581">1</WORD>
<WORD coords="2981,3576,2997,3532,3582">;</WORD>
<WORD coords="3047,3563,3115,3505,3560">Si</WORD>
</LINE>
<LINE>
<WORD coords="757,3733,788,3682,3733">1</WORD>
<WORD coords="857,3743,1106,3669,3724">cupiera</WORD>
<WORD coords="1147,3722,1225,3683,3720">en</WORD>
<WORD coords="1282,3716,1320,3666,3715">9</WORD>
<WORD coords="1376,3714,1521,3658,3712">diez</WORD>
<WORD coords="1576,3708,1757,3668,3704">veces</WORD>
<WORD coords="1792,3718,1807,3691,3708">,</WORD>
<WORD coords="1851,3698,1907,3644,3698">el</WORD>
<WORD coords="1958,3696,2230,3635,3690">cociente</WORD>
<WORD coords="2280,3684,2356,3635,3686">10</WORD>
<WORD coords="2409,3681,2835,3620,3676">multiplicado</WORD>
<WORD coords="2890,3688,3001,3634,3672">por</WORD>
<WORD coords="3059,3677,3119,3615,3673">el</WORD>
</LINE>
<LINE>
<WORD coords="754,3840,992,3780,3834">divisor</WORD>
<WORD coords="1046,3829,1070,3782,3829">1</WORD>
<WORD coords="1112,3849,1137,3816,3849">f</WORD>
<WORD coords="1167,3826,1339,3770,3824">daría</WORD>
<WORD coords="1398,3821,1473,3766,3820">de</WORD>
<WORD coords="1519,3836,1823,3756,3810">producto</WORD>
<WORD coords="1873,3806,1948,3753,3805">10</WORD>
<WORD coords="1975,3819,1991,3791,3819">,</WORD>
<WORD coords="2025,3819,2142,3760,3798">que</WORD>
<WORD coords="2189,3794,2253,3758,3793">es</WORD>
<WORD coords="2295,3810,2510,3748,3787">mayor</WORD>
<WORD coords="2557,3803,2675,3745,3782">que</WORD>
<WORD coords="2718,3783,2774,3724,3781">el</WORD>
<WORD coords="2833,3788,3159,3719,3777">dividen.,</WORD>
</LINE>
<LINE>
<WORD coords="761,3949,846,3890,3946">do</WORD>
<WORD coords="909,3939,945,3890,3946">9</WORD>
<WORD coords="972,3954,990,3906,3934">;</WORD>
<WORD coords="1043,3934,1100,3883,3933">lo</WORD>
<WORD coords="1157,3950,1275,3896,3931">que</WORD>
<WORD coords="1323,3928,1385,3894,3928">es</WORD>
<WORD coords="1448,3926,1525,3888,3925">un</WORD>
<WORD coords="1573,3921,1862,3859,3916">absurdo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1010,4047,1072,3991,4045">Si</WORD>
<WORD coords="1118,4042,1177,3988,4040">el</WORD>
<WORD coords="1250,4037,1596,3975,4032">dividendo</WORD>
<WORD coords="1657,4025,1824,3970,4023">tiene</WORD>
<WORD coords="1909,4020,2019,3963,4017">dos</WORD>
<WORD coords="2077,4035,2423,3952,4007">guarismos</WORD>
<WORD coords="2483,4022,2521,3966,4016">y</WORD>
<WORD coords="2564,3999,2623,3942,3997">el</WORD>
<WORD coords="2685,3993,2930,3934,3989">divisor</WORD>
<WORD coords="2975,3999,3126,3948,3985">uno,</WORD>
</LINE>
<LINE>
<WORD coords="763,4185,1218,4099,4157">supondremos</WORD>
<WORD coords="1256,4165,1375,4104,4145">que</WORD>
<WORD coords="1426,4160,1609,4078,4139">aquel</WORD>
<WORD coords="1654,4134,1759,4094,4133">sea</WORD>
<WORD coords="1817,4129,1893,4076,4128">89</WORD>
<WORD coords="1946,4145,1984,4088,4135">y</WORD>
<WORD coords="2046,4123,2177,4076,4122">este</WORD>
<WORD coords="2238,4117,2275,4062,4121">9</WORD>
<WORD coords="2310,4131,2327,4080,4128">,</WORD>
<WORD coords="2384,4115,2437,4074,4117">•&gt;</WORD>
<WORD coords="2511,4111,2570,4050,4110">ei</WORD>
<WORD coords="2626,4107,2902,4044,4102">coúente</WORD>
<WORD coords="2954,4114,3155,4033,4104">fe**</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0042.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0043.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0043.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1256,596,1404,508,596">33</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="150,712,274,642,696">ÍO,</WORD>
<WORD coords="318,702,700,640,699">tendríamos</WORD>
<WORD coords="764,724,884,664,706">que</WORD>
<WORD coords="960,708,1038,656,711">10</WORD>
<WORD coords="1082,726,1154,658,722">*</WORD>
<WORD coords="1186,712,1394,660,713">89=</WORD>
<WORD coords="1424,736,1582,664,722">890,</WORD>
<WORD coords="1640,722,1700,664,721">lo</WORD>
<WORD coords="1764,744,1884,686,728">que</WORD>
<WORD coords="1944,732,2008,692,731">es</WORD>
<WORD coords="2064,734,2144,692,733">un</WORD>
<WORD coords="2204,760,2498,680,740">absurdo}</WORD>
</LINE>
<LINE>
<WORD coords="140,820,254,758,800">por</WORD>
<WORD coords="302,824,422,766,805">que</WORD>
<WORD coords="468,806,520,754,806">el</WORD>
<WORD coords="600,826,904,754,810">producto</WORD>
<WORD coords="962,816,1064,758,814">del</WORD>
<WORD coords="1134,822,1410,766,820">cociente</WORD>
<WORD coords="1460,842,1568,788,826">por</WORD>
<WORD coords="1632,830,1686,774,829">el</WORD>
<WORD coords="1744,838,1984,776,834">divisor</WORD>
<WORD coords="2016,856,2036,828,851">,</WORD>
<WORD coords="2080,846,2280,802,842">nunca</WORD>
<WORD coords="2346,856,2504,792,852">debe</WORD>
</LINE>
<LINE>
<WORD coords="136,908,240,868,908">■er</WORD>
<WORD coords="290,930,504,872,910">mayor</WORD>
<WORD coords="562,932,680,876,915">que</WORD>
<WORD coords="738,918,792,864,918">el</WORD>
<WORD coords="848,926,1214,866,921">dividendo.</WORD>
<WORD coords="1302,952,1510,870,929">Luego</WORD>
<WORD coords="1560,942,1682,874,938">£¡?e.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="300,1022,400,966,1027">71.</WORD>
<WORD coords="468,1032,812,968,1026">Problema.</WORD>
<WORD coords="900,1038,1160,976,1034">Dividir</WORD>
<WORD coords="1200,1038,1282,998,1038">un</WORD>
<WORD coords="1320,1044,1576,998,1042">numero</WORD>
<WORD coords="1614,1072,1952,1002,1052">compuesto</WORD>
<WORD coords="1992,1082,2118,1012,1060">por</WORD>
<WORD coords="2158,1066,2294,1016,1064">otro</WORD>
<WORD coords="2354,1070,2510,1028,1069">contm</WORD>
</LINE>
<LINE>
<WORD coords="124,1144,368,1074,1124">piusto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="374,1244,760,1176,1236">Resolución.</WORD>
<WORD coords="864,1266,1144,1188,1248">Después</WORD>
<WORD coords="1202,1256,1278,1196,1255">de</WORD>
<WORD coords="1330,1258,1372,1198,1258">h</WORD>
<WORD coords="1396,1260,1522,1202,1260">«ber</WORD>
<WORD coords="1586,1270,1890,1208,1266">colocado</WORD>
<WORD coords="1934,1274,1994,1216,1273">el</WORD>
<WORD coords="2050,1286,2398,1218,1279">dividendo</WORD>
<WORD coords="2460,1300,2510,1242,1300">y</WORD>
</LINE>
<LINE>
<WORD coords="114,1356,414,1272,1334">■divisor,</WORD>
<WORD coords="460,1362,654,1304,1342">según</WORD>
<WORD coords="702,1348,766,1310,1348">se</WORD>
<WORD coords="808,1352,890,1292,1351">ha</WORD>
<WORD coords="932,1360,1242,1302,1355">enseñado</WORD>
<WORD coords="1320,1364,1416,1318,1363">atr</WORD>
<WORD coords="1422,1368,1482,1330,1367">as</WORD>
<WORD coords="1514,1352,1528,1338,1358">.</WORD>
<WORD coords="1580,1372,1696,1316,1364">i.o</WORD>
<WORD coords="1750,1382,2022,1308,1378">To&apos;mese</WORD>
<WORD coords="2068,1386,2168,1326,1384">del</WORD>
<WORD coords="2218,1388,2510,1328,1386">dividen-</WORD>
</LINE>
<LINE>
<WORD coords="108,1454,252,1380,1438">•do,</WORD>
<WORD coords="296,1462,682,1392,1445">empezando</WORD>
<WORD coords="730,1454,808,1396,1454">de</WORD>
<WORD coords="854,1456,910,1400,1455">la</WORD>
<WORD coords="954,1478,1286,1402,1463">izquierda</WORD>
<WORD coords="1322,1482,1340,1456,1480">,</WORD>
<WORD coords="1398,1478,1596,1428,1474">tantos</WORD>
<WORD coords="1662,1506,2056,1428,1486">guarismos,</WORD>
<WORD coords="2102,1494,2352,1448,1493">cuantos</WORD>
<WORD coords="2382,1496,2504,1434,1492">tie.</WORD>
</LINE>
<LINE>
<WORD coords="120,1548,198,1506,1548">se</WORD>
<WORD coords="260,1550,314,1496,1550">el</WORD>
<WORD coords="362,1566,604,1494,1564">ámrnt</WORD>
<WORD coords="658,1578,700,1522,1579">y</WORD>
<WORD coords="744,1580,1074,1524,1564">sepárense</WORD>
<WORD coords="1130,1576,1248,1534,1574">con</WORD>
<WORD coords="1324,1580,1442,1540,1578">una</WORD>
<WORD coords="1502,1588,1674,1546,1585">coma</WORD>
<WORD coords="1704,1604,1728,1552,1604">¡</WORD>
<WORD coords="1780,1610,1924,1556,1594">pero</WORD>
<WORD coords="1970,1598,2022,1542,1597">si</WORD>
<WORD coords="2086,1598,2148,1542,1598">lo</WORD>
<WORD coords="2202,1618,2504,1544,1599">separado</WORD>
</LINE>
<LINE>
<WORD coords="122,1652,200,1614,1652">*s</WORD>
<WORD coords="266,1656,346,1618,1656">un</WORD>
<WORD coords="392,1662,652,1620,1660">numero</WORD>
<WORD coords="720,1672,938,1628,1668">menor</WORD>
<WORD coords="982,1692,1102,1638,1678">que</WORD>
<WORD coords="1150,1680,1204,1624,1680">el</WORD>
<WORD coords="1252,1688,1492,1626,1685">divisor</WORD>
<WORD coords="1524,1704,1540,1678,1699">,</WORD>
<WORD coords="1592,1694,1658,1656,1693">se</WORD>
<WORD coords="1704,1702,1942,1652,1698">tomará</WORD>
<WORD coords="1996,1706,2134,1660,1704">ctro</WORD>
<WORD coords="2178,1728,2504,1648,1705">guarismo</WORD>
</LINE>
<LINE>
<WORD coords="114,1768,304,1718,1759">mas;</WORD>
<WORD coords="370,1764,488,1712,1766">2.=</WORD>
<WORD coords="556,1774,756,1710,1772">Véase</WORD>
<WORD coords="802,1782,1066,1736,1779">cuantas</WORD>
<WORD coords="1122,1792,1302,1748,1788">veces</WORD>
<WORD coords="1360,1792,1416,1738,1792">el</WORD>
<WORD coords="1468,1810,1700,1742,1798">primer</WORD>
<WORD coords="1754,1826,2076,1752,1808">guarismo</WORD>
<WORD coords="2148,1812,2226,1758,1812">de</WORD>
<WORD coords="2300,1812,2358,1756,1812">la</WORD>
<WORD coords="2404,1814,2494,1756,1812">iz-</WORD>
</LINE>
<LINE>
<WORD coords="104,1884,386,1812,1866">•quierda</WORD>
<WORD coords="432,1874,532,1814,1872">del</WORD>
<WORD coords="586,1882,824,1820,1878">divisor</WORD>
<WORD coords="880,1888,1006,1832,1883">está</WORD>
<WORD coords="1060,1898,1392,1838,1894">contenido</WORD>
<WORD coords="1440,1904,1516,1864,1902">en</WORD>
<WORD coords="1560,1906,1614,1850,1905">el</WORD>
<WORD coords="1670,1926,1900,1856,1911">primer</WORD>
<WORD coords="1944,1938,2262,1862,1918">guarismo</WORD>
<WORD coords="2306,1920,2384,1860,1919">de</WORD>
<WORD coords="2432,1922,2494,1864,1920">la</WORD>
</LINE>
<LINE>
<WORD coords="122,1990,454,1922,1974">izquierda</WORD>
<WORD coords="520,1982,622,1926,1982">del</WORD>
<WORD coords="696,1996,1044,1930,1990">dividendo</WORD>
<WORD coords="1104,2012,1334,1946,2000">parcial</WORD>
<WORD coords="1376,2022,1396,1994,2015">,</WORD>
<WORD coords="1454,2008,1492,1954,2008">ó</WORD>
<WORD coords="1564,2012,1638,1974,2011">en</WORD>
<WORD coords="1686,2018,1782,1960,2015">los</WORD>
<WORD coords="1844,2024,1964,1964,2022">dos</WORD>
<WORD coords="2022,2044,2326,1970,2026">primeros</WORD>
<WORD coords="2362,2044,2380,2016,2038">,</WORD>
<WORD coords="2428,2032,2486,1972,2030">s¡</WORD>
</LINE>
<LINE>
<WORD coords="106,2080,292,2034,2077">acaso</WORD>
<WORD coords="338,2082,414,2046,2082">en</WORD>
<WORD coords="484,2086,540,2030,2085">el</WORD>
<WORD coords="618,2102,964,2034,2093">dividendo</WORD>
<WORD coords="1010,2102,1076,2064,2101">se</WORD>
<WORD coords="1138,2108,1314,2052,2106">tomó</WORD>
<WORD coords="1372,2114,1452,2074,2113">un</WORD>
<WORD coords="1510,2138,1830,2064,2120">guarismo</WORD>
<WORD coords="1888,2130,2022,2090,2128">mas</WORD>
<WORD coords="2078,2134,2156,2076,2133">de</WORD>
<WORD coords="2218,2134,2308,2080,2132">los</WORD>
<WORD coords="2356,2156,2484,2100,2140">que</WORD>
</LINE>
<LINE>
<WORD coords="104,2186,272,2134,2184">tema</WORD>
<WORD coords="310,2188,368,2132,2187">el</WORD>
<WORD coords="446,2196,688,2134,2193">d.visor</WORD>
<WORD coords="718,2214,736,2166,2216">;</WORD>
<WORD coords="780,2200,834,2146,2199">el</WORD>
<WORD coords="886,2208,1156,2166,2206">numero</WORD>
<WORD coords="1214,2216,1292,2158,2215">de</WORD>
<WORD coords="1344,2222,1524,2182,2220">veces</WORD>
<WORD coords="1574,2244,1692,2190,2227">que</WORD>
<WORD coords="1750,2232,1876,2176,2231">está</WORD>
<WORD coords="1948,2258,2340,2182,2237">contenido,</WORD>
<WORD coords="2412,2248,2482,2208,2245">se</WORD>
</LINE>
<LINE>
<WORD coords="104,2306,264,2248,2290">pone</WORD>
<WORD coords="320,2296,396,2258,2295">en</WORD>
<WORD coords="446,2298,502,2240,2297">el</WORD>
<WORD coords="550,2306,826,2246,2302">cociente</WORD>
<WORD coords="854,2324,878,2274,2323">;</WORD>
<WORD coords="932,2312,996,2274,2309">se</WORD>
<WORD coords="1054,2338,1398,2260,2319">multiplica</WORD>
<WORD coords="1454,2330,1584,2284,2328">este</WORD>
<WORD coords="1626,2340,1910,2276,2335">cociente</WORD>
<WORD coords="1952,2360,2062,2302,2342">por</WORD>
<WORD coords="2104,2346,2254,2292,2345">todo</WORD>
<WORD coords="2284,2348,2338,2292,2347">el</WORD>
<WORD coords="2384,2352,2484,2292,2351">di-</WORD>
</LINE>
<LINE>
<WORD coords="102,2400,272,2356,2397">»isor</WORD>
<WORD coords="302,2414,318,2388,2422">,</WORD>
<WORD coords="360,2420,400,2362,2425">y</WORD>
<WORD coords="442,2402,498,2348,2402">el</WORD>
<WORD coords="554,2424,856,2354,2411">producto</WORD>
<WORD coords="902,2420,966,2382,2419">se</WORD>
<WORD coords="1022,2426,1236,2368,2424">coloca</WORD>
<WORD coords="1288,2456,1510,2372,2432">debajo</WORD>
<WORD coords="1566,2440,1664,2380,2439">del</WORD>
<WORD coords="1742,2448,2086,2386,2445">dividendo</WORD>
<WORD coords="2146,2466,2370,2398,2454">parcial</WORD>
<WORD coords="2428,2472,2476,2422,2472">y</WORD>
</LINE>
<LINE>
<WORD coords="108,2502,178,2462,2501">se</WORD>
<WORD coords="236,2506,402,2460,2504">resta</WORD>
<WORD coords="454,2512,532,2452,2511">de</WORD>
<WORD coords="594,2516,696,2456,2514">él:</WORD>
<WORD coords="762,2520,814,2468,2515">3.</WORD>
<WORD coords="844,2504,880,2468,2504">o</WORD>
<WORD coords="962,2528,1052,2472,2528">A1</WORD>
<WORD coords="1112,2534,1256,2474,2532">lado</WORD>
<WORD coords="1314,2540,1392,2482,2539">de</WORD>
<WORD coords="1448,2540,1464,2484,2540">,</WORD>
<WORD coords="1472,2542,1502,2504,2542">a</WORD>
<WORD coords="1550,2548,1722,2500,2546">^</WORD>
<WORD coords="1766,2552,1840,2512,2551">se</WORD>
<WORD coords="2090,2558,2144,2502,2556">^</WORD>
<WORD coords="2402,2572,2478,2440,2572">^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="94,2604,154,2558,2604">te</WORD>
<WORD coords="206,2628,524,2554,2611">guarismo</WORD>
<WORD coords="570,2622,670,2562,2620">del</WORD>
<WORD coords="718,2634,1062,2568,2627">dividendo</WORD>
<WORD coords="1104,2642,1256,2584,2638">total</WORD>
<WORD coords="1282,2658,1300,2630,2658">,</WORD>
<WORD coords="1340,2666,1386,2606,2658">y</WORD>
<WORD coords="1414,2650,1480,2600,2650">sé</WORD>
<WORD coords="1520,2652,1592,2614,2650">ve</WORD>
<WORD coords="1644,2656,1694,2598,2654">si</WORD>
<WORD coords="1752,2660,1882,2612,2659">este</WORD>
<WORD coords="1938,2672,2282,2606,2666">dividendo</WORD>
<WORD coords="2328,2692,2472,2636,2676">par-</WORD>
</LINE>
<LINE>
<WORD coords="86,2712,210,2658,2712">«al</WORD>
<WORD coords="264,2742,546,2668,2720">es.gual</WORD>
<WORD coords="608,2728,646,2672,2741">ó</WORD>
<WORD coords="710,2754,926,2696,2734">mayor</WORD>
<WORD coords="972,2758,1092,2702,2742">que</WORD>
<WORD coords="1152,2746,1210,2690,2746">el</WORD>
<WORD coords="1258,2754,1500,2692,2751">divisor</WORD>
<WORD coords="1536,2762,1552,2724,2762">;</WORD>
<WORD coords="1588,2766,1868,2704,2762">siéndolo</WORD>
<WORD coords="1896,2782,1914,2756,2777">,</WORD>
<WORD coords="1962,2772,2024,2734,2770">se</WORD>
<WORD coords="2084,2778,2224,2736,2774">vera</WORD>
<WORD coords="2276,2784,2464,2742,2781">cuan-</WORD>
</LINE>
<LINE>
<WORD coords="100,2818,194,2770,2818">tas</WORD>
<WORD coords="244,2826,424,2782,2824">veces</WORD>
<WORD coords="492,2834,550,2774,2832">el</WORD>
<WORD coords="610,2854,842,2778,2837">primer</WORD>
<WORD coords="912,2866,1234,2792,2848">guarismo</WORD>
<WORD coords="1288,2878,1636,2800,2861">izquierdo</WORD>
<WORD coords="1702,2872,1804,2812,2871">de!</WORD>
<WORD coords="1860,2880,2102,2818,2876">divisor</WORD>
<WORD coords="2194,2886,2258,2848,2884">se</WORD>
<WORD coords="2336,2892,2456,2850,2888">ron</WORD>
</LINE>
<LINE>
<WORD coords="84,3008,252,2876,2924">^ene</WORD>
<WORD coords="316,2932,394,2894,2931">en</WORD>
<WORD coords="454,2936,512,2882,2936">el</WORD>
<WORD coords="598,2960,830,2902,2945">pnmer</WORD>
<WORD coords="902,2972,1220,2900,2956">guarismo</WORD>
<WORD coords="1278,2986,1612,2910,2969">izquierdo</WORD>
<WORD coords="1680,2978,1760,2918,2978">de</WORD>
<WORD coords="1818,2986,2160,2922,2982">dividen*.</WORD>
<WORD coords="2194,3008,2218,2974,3000">,</WORD>
<WORD coords="2276,2992,2316,2936,2992">é</WORD>
<WORD coords="2370,2998,2450,2958,2996">eo</WORD>
</LINE>
<LINE>
<WORD coords="82,3030,176,2974,3029">los</WORD>
<WORD coords="220,3038,334,2976,3036">dos</WORD>
<WORD coords="378,3070,814,2984,3045">primeros,,»</WORD>
<WORD coords="868,3056,924,3002,3056">el</WORD>
<WORD coords="982,3070,1326,3006,3064">dividendo</WORD>
<WORD coords="1374,3092,1602,3020,3077">parcial</WORD>
<WORD coords="1634,3086,1796,3026,3082">tiene</WORD>
<WORD coords="1842,3088,1922,3050,3088">un</WORD>
<WORD coords="1952,3110,2274,3040,3092">guarismo</WORD>
<WORD coords="2308,3102,2444,3062,3100">ma.</WORD>
</LINE>
<LINE>
<WORD coords="80,3154,202,3096,3137">que</WORD>
<WORD coords="260,3140,314,3084,3140">el</WORD>
<WORD coords="360,3166,644,3086,3147">¿.visor;</WORD>
<WORD coords="690,3156,744,3100,3156">el</WORD>
<WORD coords="794,3168,1054,3122,3164">numero</WORD>
<WORD coords="1106,3172,1184,3114,3171">de</WORD>
<WORD coords="1244,3180,1424,3140,3178">veces</WORD>
<WORD coords="1480,3184,1546,3148,3182">se</WORD>
<WORD coords="1608,3204,1842,3132,3188">pondrá</WORD>
<WORD coords="1890,3196,1970,3156,3195">en</WORD>
<WORD coords="2026,3198,2082,3142,3198">el</WORD>
<WORD coords="2130,3222,2432,3148,3203">cociente,</WORD>
</LINE>
<LINE>
<WORD coords="76,3244,204,3196,3242">este</WORD>
<WORD coords="258,3248,324,3210,3247">se</WORD>
<WORD coords="384,3276,798,3198,3257">multiplicará</WORD>
<WORD coords="854,3284,962,3230,3269">por</WORD>
<WORD coords="1020,3278,1168,3220,3274">todo</WORD>
<WORD coords="1212,3280,1266,3226,3280">el</WORD>
<WORD coords="1300,3288,1544,3226,3285">divisor</WORD>
<WORD coords="1574,3306,1592,3278,3300">,</WORD>
<WORD coords="1636,3294,1696,3238,3293">el</WORD>
<WORD coords="1758,3314,2062,3242,3300">producto</WORD>
<WORD coords="2120,3308,2186,3272,3307">se</WORD>
<WORD coords="2246,3312,2442,3270,3310">resta-</WORD>
</LINE>
<LINE>
<WORD coords="72,3346,134,3306,3345">ra</WORD>
<WORD coords="170,3352,186,3316,3369">:</WORD>
<WORD coords="250,3368,396,3314,3353">pero</WORD>
<WORD coords="448,3358,500,3322,3358">s.</WORD>
<WORD coords="556,3386,822,3306,3366">después</WORD>
<WORD coords="884,3376,960,3320,3375">de</WORD>
<WORD coords="1018,3404,1244,3324,3382">bajado</WORD>
<WORD coords="1302,3390,1356,3336,3389">el</WORD>
<WORD coords="1416,3414,1732,3340,3397">guarismo</WORD>
<WORD coords="1790,3424,1832,3366,3418">y</WORD>
<WORD coords="1876,3412,2142,3354,3409">sumado</WORD>
<WORD coords="2184,3416,2304,3376,3415">con</WORD>
<WORD coords="2378,3424,2436,3366,3424">U</WORD>
</LINE>
<LINE>
<WORD coords="66,3454,230,3408,3452">resta</WORD>
<WORD coords="326,3464,454,3416,3461">este</WORD>
<WORD coords="504,3474,764,3430,3471">numero</WORD>
<WORD coords="818,3480,884,3442,3478">es</WORD>
<WORD coords="938,3490,1154,3446,3486">menor</WORD>
<WORD coords="1210,3512,1332,3456,3494">que</WORD>
<WORD coords="1390,3498,1448,3446,3498">el</WORD>
<WORD coords="1508,3528,1790,3444,3503">divisor;</WORD>
<WORD coords="1852,3512,1916,3474,3511">se</WORD>
<WORD coords="1980,3528,2212,3464,3517">pondrá</WORD>
<WORD coords="2284,3524,2430,3486,3522">cero</WORD>
</LINE>
<LINE>
<WORD coords="62,3558,138,3518,3558">en</WORD>
<WORD coords="180,3566,238,3512,3565">el</WORD>
<WORD coords="290,3576,568,3528,3570">cociente</WORD>
<WORD coords="604,3596,642,3542,3598">y</WORD>
<WORD coords="698,3582,760,3546,3582">se</WORD>
<WORD coords="798,3608,1012,3528,3587">bajará</WORD>
<WORD coords="1056,3596,1194,3552,3595">otro</WORD>
<WORD coords="1240,3620,1558,3548,3603">guarismo</WORD>
<WORD coords="1606,3612,1736,3574,3612">mas</WORD>
<WORD coords="1774,3616,1872,3560,3616">del</WORD>
<WORD coords="1934,3626,2276,3564,3622">dividendo</WORD>
<WORD coords="2322,3628,2416,3582,3627">to.</WORD>
</LINE>
<LINE>
<WORD coords="54,3664,136,3616,3662">tal</WORD>
<WORD coords="172,3678,188,3654,3692">,</WORD>
<WORD coords="218,3688,260,3630,3697">y</WORD>
<WORD coords="300,3674,362,3634,3673">se</WORD>
<WORD coords="416,3682,564,3618,3677">hará</WORD>
<WORD coords="620,3682,678,3628,3682">lo</WORD>
<WORD coords="728,3696,950,3632,3690">mismo</WORD>
<WORD coords="998,3718,1116,3662,3701">que</WORD>
<WORD coords="1164,3710,1380,3646,3706">hemos</WORD>
<WORD coords="1430,3716,1618,3654,3712">dicho</WORD>
<WORD coords="1662,3738,1856,3674,3720">antes,</WORD>
<WORD coords="1884,3730,2056,3664,3726">hasta</WORD>
<WORD coords="2102,3730,2286,3670,3729">haber</WORD>
<WORD coords="2314,3738,2414,3678,3736">ba-</WORD>
</LINE>
<LINE>
<WORD coords="40,3786,198,3722,3768">jado</WORD>
<WORD coords="256,3776,310,3722,3775">el</WORD>
<WORD coords="362,3786,584,3724,3784">ú.t.mo</WORD>
<WORD coords="624,3810,940,3738,3794">guarismo</WORD>
<WORD coords="996,3806,1096,3748,3804">del</WORD>
<WORD coords="1144,3816,1488,3754,3812">dividendo</WORD>
<WORD coords="1544,3826,1712,3768,3821">total.</WORD>
<WORD coords="1804,3828,1872,3770,3828">Si</WORD>
<WORD coords="1922,3850,2042,3770,3832">hay</WORD>
<WORD coords="2094,3836,2256,3792,3833">resta</WORD>
<WORD coords="2346,3838,2412,3800,3837">se</WORD>
</LINE>
<LINE>
<WORD coords="46,3886,202,3830,3873">pone</WORD>
<WORD coords="262,3882,290,3844,3882">a</WORD>
<WORD coords="348,3894,614,3828,3889">derecha</WORD>
<WORD coords="670,3898,770,3844,3897">del</WORD>
<WORD coords="806,3914,1090,3850,3909">cociente</WORD>
<WORD coords="1136,3916,1250,3878,3916">con</WORD>
<WORD coords="1302,3922,1428,3880,3920">una</WORD>
<WORD coords="1466,3946,1614,3884,3925">raya</WORD>
<WORD coords="1654,3958,1880,3872,3933">debajo</WORD>
<WORD coords="1922,3958,1964,3900,3958">y</WORD>
<WORD coords="2010,3962,2302,3824,3943">después&apos;</WORD>
<WORD coords="2322,3944,2402,3886,3942">de</WORD>
</LINE>
<LINE>
<WORD coords="46,3982,176,3932,3978">esta</WORD>
<WORD coords="232,3992,380,3932,3989">todo</WORD>
<WORD coords="438,3996,496,3940,3996">el</WORD>
<WORD coords="562,4010,820,3944,4004">divisor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1198,4132,1278,4076,4131">10</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0043.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0044.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0044.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1935,580,2081,489,579">84</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="975,726,1277,646,704">Ejemplo.</WORD>
<WORD coords="1371,703,1677,643,701">Divídase</WORD>
<WORD coords="1715,708,1877,646,702">1075,</WORD>
<WORD coords="1907,717,2016,663,697">por</WORD>
<WORD coords="2066,700,2144,647,698">43</WORD>
<WORD coords="2146,702,2153,688,702">;</WORD>
<WORD coords="2154,698,2168,683,700">.</WORD>
<WORD coords="2264,702,2325,638,702">A</WORD>
<WORD coords="2363,708,2405,649,698">S*</WORD>
<WORD coords="2441,701,2486,640,700">*</WORD>
<WORD coords="2608,697,2651,635,698">9</WORD>
<WORD coords="2674,709,2692,679,709">,</WORD>
<WORD coords="2723,709,2784,638,709">%</WORD>
<WORD coords="2819,715,2836,632,707">\</WORD>
<WORD coords="2868,692,2910,637,696">4</WORD>
<WORD coords="2955,691,3003,639,681">3&apos;</WORD>
<WORD coords="3039,700,3091,674,697">...</WORD>
<WORD coords="3140,694,3193,631,694">B</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="981,813,1191,754,812">Tomo</WORD>
<WORD coords="1252,828,1360,771,809">por</WORD>
<WORD coords="1408,810,1761,751,808">dividendo</WORD>
<WORD coords="1810,823,2038,750,805">parcial</WORD>
<WORD coords="2081,804,2178,749,803">los</WORD>
<WORD coords="2523,799,2556,752,801">8</WORD>
<WORD coords="2604,799,2650,748,800">6,</WORD>
<WORD coords="2816,820,2829,742,806">|</WORD>
<WORD coords="2874,787,2877,774,787">■</WORD>
<WORD coords="2905,800,2908,795,800">.</WORD>
<WORD coords="2925,791,2942,774,794">-</WORD>
<WORD coords="3161,788,3195,773,788">-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="816,928,944,881,922">tres</WORD>
<WORD coords="1030,935,1333,878,915">primeros</WORD>
<WORD coords="1394,938,1744,858,917">guarismos</WORD>
<WORD coords="1824,915,1939,862,914">107</WORD>
<WORD coords="1973,930,1988,901,930">,</WORD>
<WORD coords="2064,933,2175,873,910">por</WORD>
<WORD coords="2428,907,2489,873,907">m</WORD>
<WORD coords="2553,909,2573,883,909">*</WORD>
<WORD coords="2607,899,2658,885,899">—</WORD>
<WORD coords="2658,900,2758,884,913">—</WORD>
<WORD coords="2819,928,2905,847,915">|2</WORD>
<WORD coords="2950,903,2985,857,908">5</WORD>
<WORD coords="3034,908,3051,888,907">.</WORD>
<WORD coords="3074,907,3091,888,913">.</WORD>
<WORD coords="3137,908,3198,846,908">©</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="811,1057,933,990,1028">£ue</WORD>
<WORD coords="978,1026,1274,967,1024">tomando</WORD>
<WORD coords="1307,1024,1398,968,1023">los</WORD>
<WORD coords="1447,1026,1559,967,1023">dos</WORD>
<WORD coords="1585,1038,1601,1011,1030">,</WORD>
<WORD coords="1626,1023,1853,965,1020">resulta</WORD>
<WORD coords="1902,1021,1955,965,1020">el</WORD>
<WORD coords="2004,1019,2067,963,1019">di</WORD>
<WORD coords="2075,1019,2167,964,1018">vi-</WORD>
<WORD coords="2507,1017,2541,972,1019">2</WORD>
<WORD coords="2594,1016,2707,968,1015">15</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="812,1135,1022,1076,1132">dendo</WORD>
<WORD coords="1082,1149,1309,1074,1130">parcial</WORD>
<WORD coords="1387,1131,1463,1080,1130">10</WORD>
<WORD coords="1509,1130,1722,1091,1128">menor</WORD>
<WORD coords="1782,1148,1899,1091,1128">que</WORD>
<WORD coords="1963,1128,2016,1070,1127">el</WORD>
<WORD coords="2080,1124,2173,1067,1124">di-</WORD>
<WORD coords="2515,1125,2551,1077,1126">2</WORD>
<WORD coords="2609,1125,2720,1074,1124">15</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="811,1246,985,1184,1241">visor</WORD>
<WORD coords="1038,1239,1139,1188,1238">43.</WORD>
<WORD coords="1236,1239,1455,1178,1237">Ahora</WORD>
<WORD coords="1490,1252,1508,1225,1245">,</WORD>
<WORD coords="1535,1238,1648,1201,1236">veo</WORD>
<WORD coords="1692,1238,1947,1190,1236">cuantas</WORD>
<WORD coords="2007,1235,2189,1196,1234">veces</WORD>
<WORD coords="2443,1227,2603,1207,1225">—</WORD>
<WORD coords="2761,1224,2777,1209,1224">•</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="808,1347,868,1291,1346">el</WORD>
<WORD coords="939,1364,1172,1290,1345">primer</WORD>
<WORD coords="1237,1369,1555,1288,1345">guarismo</WORD>
<WORD coords="1614,1363,1949,1286,1344">izquierdo</WORD>
<WORD coords="2003,1344,2044,1292,1344">4</WORD>
<WORD coords="2105,1342,2171,1305,1342">se</WORD>
<WORD coords="2716,1346,2745,1321,1346">A</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="809,1454,1095,1398,1452">Contiene</WORD>
<WORD coords="1141,1453,1215,1414,1452">en</WORD>
<WORD coords="1219,1458,1224,1436,1458">:</WORD>
<WORD coords="1270,1452,1360,1395,1450">los</WORD>
<WORD coords="1412,1451,1523,1394,1450">dos</WORD>
<WORD coords="1563,1470,1885,1393,1450">primeros,</WORD>
<WORD coords="1914,1469,2031,1414,1450">que</WORD>
<WORD coords="2072,1452,2184,1412,1449">son</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="817,1562,897,1511,1562">10</WORD>
<WORD coords="932,1567,948,1548,1567">,</WORD>
<WORD coords="977,1577,1084,1522,1559">por</WORD>
<WORD coords="1117,1580,1242,1521,1561">que</WORD>
<WORD coords="1303,1560,1357,1502,1559">el</WORD>
<WORD coords="1404,1559,1751,1500,1558">dividendo</WORD>
<WORD coords="1805,1578,2033,1500,1556">parcial</WORD>
<WORD coords="2081,1562,2245,1499,1558">tiene</WORD>
<WORD coords="2291,1562,2371,1519,1562">\m</WORD>
<WORD coords="2420,1583,2737,1503,1560">guarismo</WORD>
<WORD coords="2783,1560,2913,1520,1559">mas</WORD>
<WORD coords="2980,1579,3099,1522,1562">que</WORD>
<WORD coords="3132,1563,3200,1501,1562">ef</WORD>
</LINE>
<LINE>
<WORD coords="810,1672,1055,1613,1669">divisor</WORD>
<WORD coords="1091,1682,1106,1636,1675">;</WORD>
<WORD coords="1136,1668,1190,1613,1668">el</WORD>
<WORD coords="1249,1668,1529,1610,1666">cociente</WORD>
<WORD coords="1586,1668,1625,1619,1668">2</WORD>
<WORD coords="1682,1668,1741,1609,1667">lo</WORD>
<WORD coords="1795,1669,2036,1610,1667">escriba</WORD>
<WORD coords="2093,1668,2164,1631,1668">en</WORD>
<WORD coords="2223,1671,2295,1632,1670">su</WORD>
<WORD coords="2354,1690,2531,1613,1667">lugar</WORD>
<WORD coords="2567,1682,2582,1657,1674">,</WORD>
<WORD coords="2612,1665,2667,1612,1664">lo</WORD>
<WORD coords="2703,1686,3048,1610,1665">multiplico</WORD>
<WORD coords="3085,1686,3194,1627,1667">por</WORD>
</LINE>
<LINE>
<WORD coords="811,1777,893,1726,1777">43</WORD>
<WORD coords="929,1790,945,1764,1790">,</WORD>
<WORD coords="989,1795,1028,1740,1786">y</WORD>
<WORD coords="1075,1777,1131,1719,1776">el</WORD>
<WORD coords="1191,1794,1498,1718,1775">producto</WORD>
<WORD coords="1551,1776,1629,1722,1775">86</WORD>
<WORD coords="1678,1775,1736,1720,1775">lo</WORD>
<WORD coords="1790,1775,1955,1728,1774">resto</WORD>
<WORD coords="2003,1776,2080,1718,1775">de</WORD>
<WORD coords="2135,1776,2270,1724,1775">107.</WORD>
<WORD coords="2324,1776,2411,1721,1775">Al</WORD>
<WORD coords="2470,1775,2613,1718,1774">lado</WORD>
<WORD coords="2661,1775,2736,1718,1774">de</WORD>
<WORD coords="2786,1773,2842,1717,1773">la</WORD>
<WORD coords="2888,1773,3054,1728,1771">resta</WORD>
<WORD coords="3111,1775,3185,1722,1774">21</WORD>
</LINE>
<LINE>
<WORD coords="807,1904,957,1826,1884">bajo</WORD>
<WORD coords="1012,1884,1069,1829,1883">el</WORD>
<WORD coords="1123,1904,1439,1825,1881">guarismo</WORD>
<WORD coords="1492,1883,1529,1833,1883">5</WORD>
<WORD coords="1602,1883,2000,1825,1880">señalándole</WORD>
<WORD coords="2056,1881,2172,1843,1880">con</WORD>
<WORD coords="2240,1882,2357,1842,1881">una</WORD>
<WORD coords="2436,1881,2610,1843,1880">coma</WORD>
<WORD coords="2649,1894,2664,1867,1894">,</WORD>
<WORD coords="2712,1903,2749,1847,1900">y</WORD>
<WORD coords="2824,1898,3007,1836,1877">tengo</WORD>
<WORD coords="3069,1880,3190,1825,1878">215</WORD>
</LINE>
<LINE>
<WORD coords="808,2008,925,1950,1988">por</WORD>
<WORD coords="978,2011,1261,1931,1987">segundo</WORD>
<WORD coords="1313,1989,1661,1930,1988">dividendo</WORD>
<WORD coords="1710,2007,1930,1930,1986">parcial</WORD>
<WORD coords="1960,2003,1977,1953,1996">;</WORD>
<WORD coords="2046,1989,2225,1950,1986">como</WORD>
<WORD coords="2271,1987,2401,1941,1986">este</WORD>
<WORD coords="2476,1987,2819,1930,1986">dividendo</WORD>
<WORD coords="2877,1986,3042,1930,1985">titne</WORD>
<WORD coords="3105,1984,3188,1945,1983">im</WORD>
</LINE>
<LINE>
<WORD coords="810,2117,1130,2039,2095">guarismo</WORD>
<WORD coords="1187,2096,1320,2058,2095">mas</WORD>
<WORD coords="1381,2116,1501,2059,2096">que</WORD>
<WORD coords="1553,2097,1608,2039,2096">el</WORD>
<WORD coords="1653,2097,1894,2039,2095">divisor</WORD>
<WORD coords="1931,2111,1947,2085,2111">,</WORD>
<WORD coords="2002,2115,2303,2037,2093">averiguo</WORD>
<WORD coords="2362,2098,2612,2048,2092">cuantas</WORD>
<WORD coords="2671,2092,2851,2055,2091">veces</WORD>
<WORD coords="2923,2091,3069,2036,2089">cabe</WORD>
<WORD coords="3132,2091,3195,2031,2089">el</WORD>
</LINE>
<LINE>
<WORD coords="809,2204,855,2154,2203">4</WORD>
<WORD coords="906,2202,978,2164,2202">en</WORD>
<WORD coords="1039,2204,1130,2149,2202">los</WORD>
<WORD coords="1185,2204,1303,2148,2203">dos</WORD>
<WORD coords="1358,2224,1661,2147,2204">primeros</WORD>
<WORD coords="1712,2224,2064,2165,2201">guaramos</WORD>
<WORD coords="2116,2216,2233,2164,2200">que</WORD>
<WORD coords="2293,2200,2406,2162,2199">son</WORD>
<WORD coords="2468,2199,2539,2150,2199">21</WORD>
<WORD coords="2580,2213,2594,2186,2213">,</WORD>
<WORD coords="2628,2219,2669,2161,2210">y</WORD>
<WORD coords="2710,2199,2872,2141,2197">hallo</WORD>
<WORD coords="2924,2216,3041,2159,2194">que</WORD>
<WORD coords="3092,2193,3189,2155,2193">ca-</WORD>
</LINE>
<LINE>
<WORD coords="806,2314,883,2253,2312">be</WORD>
<WORD coords="945,2311,981,2261,2311">5</WORD>
<WORD coords="1035,2311,1216,2272,2310">veces</WORD>
<WORD coords="1257,2325,1273,2277,2325">;</WORD>
<WORD coords="1324,2333,1528,2272,2309">pongo</WORD>
<WORD coords="1572,2311,1627,2252,2309">el</WORD>
<WORD coords="1678,2311,1714,2258,2309">5</WORD>
<WORD coords="1769,2308,1796,2256,2307">á</WORD>
<WORD coords="1857,2307,2292,2249,2305">continuación</WORD>
<WORD coords="2340,2304,2440,2248,2303">del</WORD>
<WORD coords="2502,2304,2780,2245,2301">cociente</WORD>
<WORD coords="2830,2303,2864,2256,2304">2</WORD>
<WORD coords="2905,2315,2919,2289,2310">,</WORD>
<WORD coords="2976,2300,3186,2242,2298">multi-</WORD>
</LINE>
<LINE>
<WORD coords="809,2440,976,2363,2418">plico</WORD>
<WORD coords="1018,2419,1097,2368,2418">43</WORD>
<WORD coords="1155,2436,1265,2379,2418">por</WORD>
<WORD coords="1319,2420,1357,2367,2420">5</WORD>
<WORD coords="1393,2435,1410,2405,2426">,</WORD>
<WORD coords="1464,2417,1522,2361,2416">el</WORD>
<WORD coords="1571,2432,1872,2358,2414">producto</WORD>
<WORD coords="1919,2415,2037,2365,2414">215</WORD>
<WORD coords="2086,2415,2250,2370,2414">re^to</WORD>
<WORD coords="2297,2414,2398,2356,2413">del</WORD>
<WORD coords="2446,2413,2788,2354,2410">dividendo</WORD>
<WORD coords="2836,2426,3063,2349,2404">parcial</WORD>
<WORD coords="3099,2420,3113,2390,2420">,</WORD>
<WORD coords="3148,2423,3198,2362,2402">y-</WORD>
</LINE>
<LINE>
<WORD coords="808,2529,996,2487,2526">como</WORD>
<WORD coords="1058,2527,1156,2489,2526">me</WORD>
<WORD coords="1217,2527,1295,2469,2526">da</WORD>
<WORD coords="1349,2527,1493,2486,2525">cero</WORD>
<WORD coords="1536,2540,1937,2464,2522">diferencia,</WORD>
<WORD coords="2001,2543,2150,2464,2521">digo</WORD>
<WORD coords="2213,2541,2332,2484,2521">que</WORD>
<WORD coords="2382,2524,2440,2463,2521">el</WORD>
<WORD coords="2506,2520,2781,2462,2517">cociente</WORD>
<WORD coords="2834,2534,3064,2455,2511">pedido</WORD>
<WORD coords="3124,2513,3202,2468,2511">es-;</WORD>
<WORD coords="3228,2485,3234,2478,2485">-</WORD>
</LINE>
<LINE>
<WORD coords="808,2636,887,2583,2635">25</WORD>
<WORD coords="939,2635,1273,2575,2632">unidades.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="971,2761,1247,2682,2738">Ejemplo</WORD>
<WORD coords="1314,2740,1439,2687,2734">2.°</WORD>
<WORD coords="1545,2741,1757,2681,2740">Véase</WORD>
<WORD coords="1830,2739,2085,2691,2737">cuantas</WORD>
<WORD coords="2269,2753,2615,2683,2741">468,7,9,3,</WORD>
<WORD coords="2672,2753,2685,2675,2744">¡</WORD>
<WORD coords="2720,2733,2842,2677,2731">234</WORD>
</LINE>
<LINE>
<WORD coords="804,2846,990,2805,2845">veces</WORD>
<WORD coords="1058,2847,1116,2789,2847">el</WORD>
<WORD coords="1171,2849,1423,2808,2847">numero</WORD>
<WORD coords="1499,2853,1744,2793,2847">468793</WORD>
<WORD coords="1801,2847,2084,2788,2845">contiene</WORD>
<WORD coords="2274,2844,2396,2791,2845">468</WORD>
<WORD coords="2670,2864,2684,2783,2854">|</WORD>
<WORD coords="2755,2826,2793,2817,2826">-</WORD>
<WORD coords="2793,2826,2867,2817,2824">—</WORD>
<WORD coords="2891,2824,2969,2807,2820">—</WORD>
<WORD coords="2985,2820,3095,2808,0">—</WORD>
<WORD coords="3095,2836,3213,2770,2830">^*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="804,2962,877,2899,2956">al.</WORD>
<WORD coords="908,2957,1051,2902,2954">234.</WORD>
<WORD coords="2255,2939,2320,2924,2940">«-</WORD>
<WORD coords="2682,2970,2704,2892,2959">[</WORD>
<WORD coords="2732,2947,2889,2892,2944">2003</WORD>
<WORD coords="2938,2962,3017,2880,2955">+</WORD>
<WORD coords="3065,2933,3138,2883,2933">91</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="970,3083,1202,3006,3064">Separo</WORD>
<WORD coords="1259,3065,1386,3015,3063">tres</WORD>
<WORD coords="1461,3082,1807,3003,3060">guarismos</WORD>
<WORD coords="1889,3061,1966,3002,3060">de</WORD>
<WORD coords="2026,3062,2090,3002,3060">la</WORD>
<WORD coords="2294,3057,2418,3005,3058">000</WORD>
<WORD coords="2453,3058,2485,3004,3062">7</WORD>
<WORD coords="2514,3053,2549,3002,3059">9</WORD>
<WORD coords="2582,3053,2614,3004,3059">3</WORD>
<WORD coords="3068,3107,3219,3045,3101">%Mék</WORD>
</LINE>
<LINE>
<WORD coords="802,3189,1130,3111,3169">izquierda</WORD>
<WORD coords="1198,3171,1300,3112,3170">del</WORD>
<WORD coords="1373,3169,1717,3110,3167">dividendo</WORD>
<WORD coords="1776,3185,1887,3128,3167">por</WORD>
<WORD coords="1946,3187,2065,3129,3168">que</WORD>
<WORD coords="2440,3169,2474,3117,3168">7</WORD>
<WORD coords="2577,3160,2612,3113,3163">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="804,3277,974,3232,3276">otros</WORD>
<WORD coords="1021,3277,1223,3231,3276">tantos</WORD>
<WORD coords="1266,3277,1429,3220,3276">tiene</WORD>
<WORD coords="1474,3275,1528,3218,3272">el</WORD>
<WORD coords="1585,3289,1867,3218,3273">divisor,</WORD>
<WORD coords="1911,3293,1946,3237,3284">y</WORD>
<WORD coords="1984,3275,2047,3218,3274">di</WORD>
<WORD coords="2443,3266,2458,3249,3270">&gt;</WORD>
<WORD coords="2514,3269,2544,3252,3267">...</WORD>
<WORD coords="2588,3270,2604,3250,3272">«</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="816,3403,897,3345,3381">go</WORD>
<WORD coords="933,3382,948,3344,3382">:</WORD>
<WORD coords="994,3384,1031,3334,3383">2</WORD>
<WORD coords="1085,3382,1159,3345,3382">en</WORD>
<WORD coords="1203,3382,1245,3332,3382">4</WORD>
<WORD coords="1290,3382,1434,3327,3381">cabe</WORD>
<WORD coords="1481,3382,1516,3334,3381">2</WORD>
<WORD coords="1562,3381,1739,3344,3379">veces</WORD>
<WORD coords="1796,3395,1812,3368,3395">,</WORD>
<WORD coords="1885,3400,2091,3343,3378">pongo</WORD>
<WORD coords="2512,3378,2548,3328,3379">9</WORD>
<WORD coords="2587,3380,2610,3331,3380">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="804,3490,846,3439,3489">2</WORD>
<WORD coords="931,3489,1004,3451,3488">en</WORD>
<WORD coords="1064,3488,1119,3433,3488">el</WORD>
<WORD coords="1181,3491,1451,3432,3487">cociente</WORD>
<WORD coords="1478,3502,1493,3454,3502">;</WORD>
<WORD coords="1570,3504,1914,3430,3485">multiplico</WORD>
<WORD coords="1961,3485,2013,3431,3484">el</WORD>
<WORD coords="2071,3487,2108,3438,3487">2</WORD>
</LINE>
<LINE>
<WORD coords="805,3617,921,3556,3595">por</WORD>
<WORD coords="980,3595,1128,3539,3594">todo</WORD>
<WORD coords="1189,3595,1245,3538,3594">el</WORD>
<WORD coords="1291,3607,1575,3536,3593">divisor,</WORD>
<WORD coords="1640,3613,1683,3555,3603">y</WORD>
<WORD coords="1715,3592,1769,3538,3591">el</WORD>
<WORD coords="1859,3609,2124,3536,3593">produc-</WORD>
</LINE>
<LINE>
<WORD coords="820,3702,885,3657,3701">to</WORD>
<WORD coords="934,3702,1053,3649,3700">468</WORD>
<WORD coords="1104,3700,1158,3646,3700">le</WORD>
<WORD coords="1205,3702,1369,3656,3701">resto</WORD>
<WORD coords="1421,3700,1522,3644,3699">del</WORD>
<WORD coords="1578,3699,1882,3642,3698">di^ilend</WORD>
<WORD coords="1907,3695,1924,3663,3697">)</WORD>
<WORD coords="1994,3716,2244,3640,3697">parcial.</WORD>
<WORD coords="2339,3700,2426,3643,3698">Al</WORD>
<WORD coords="2478,3699,2621,3641,3698">lado</WORD>
<WORD coords="2688,3699,2767,3641,3699">de</WORD>
<WORD coords="2830,3699,2887,3641,3698">la</WORD>
<WORD coords="2943,3698,3109,3649,3696">resta</WORD>
<WORD coords="3161,3698,3211,3642,3698">O</WORD>
</LINE>
<LINE>
<WORD coords="808,3828,951,3749,3806">bajo</WORD>
<WORD coords="1008,3805,1059,3751,3805">el</WORD>
<WORD coords="1105,3806,1139,3755,3806">7</WORD>
<WORD coords="1184,3825,1596,3748,3805">separándolo</WORD>
<WORD coords="1640,3804,1751,3766,3803">con</WORD>
<WORD coords="1805,3804,1859,3750,3803">la</WORD>
<WORD coords="1919,3803,2096,3767,3803">coma</WORD>
<WORD coords="2129,3820,2147,3793,3820">,</WORD>
<WORD coords="2187,3824,2226,3768,3814">y</WORD>
<WORD coords="2275,3805,2458,3766,3804">como</WORD>
<WORD coords="2502,3806,2558,3750,3805">el</WORD>
<WORD coords="2618,3811,2651,3755,3809">7</WORD>
<WORD coords="2705,3807,2773,3772,3806">es</WORD>
<WORD coords="2828,3803,3040,3763,3800">menor</WORD>
<WORD coords="3076,3819,3201,3764,3803">que</WORD>
</LINE>
<LINE>
<WORD coords="811,3914,872,3857,3913">el</WORD>
<WORD coords="925,3914,1163,3856,3911">divisor</WORD>
<WORD coords="1198,3926,1214,3899,3926">,</WORD>
<WORD coords="1249,3931,1449,3875,3909">pongo</WORD>
<WORD coords="1584,3910,1658,3873,3909">en</WORD>
<WORD coords="1718,3909,1773,3854,3909">el</WORD>
<WORD coords="1834,3911,2110,3855,3909">cociente</WORD>
<WORD coords="2158,3926,2197,3873,3926">y</WORD>
<WORD coords="2254,3932,2397,3854,3907">bajo</WORD>
<WORD coords="2452,3911,2507,3855,3910">el</WORD>
<WORD coords="2563,3932,2884,3857,3908">guarismo</WORD>
<WORD coords="2917,3927,3198,3849,3905">siguien-</WORD>
</LINE>
<LINE>
<WORD coords="809,4018,869,3971,4018">te</WORD>
<WORD coords="917,4016,954,3964,4016">9</WORD>
<WORD coords="1003,4021,1034,3965,4018">á</WORD>
<WORD coords="1081,4016,1513,3961,4015">continuación</WORD>
<WORD coords="1566,4016,1666,3959,4015">del</WORD>
<WORD coords="1730,4016,1764,3964,4016">7</WORD>
<WORD coords="1799,4033,1813,3984,4024">;</WORD>
<WORD coords="1868,4015,1922,3959,4014">el</WORD>
<WORD coords="1981,4015,2325,3958,4013">dividendo</WORD>
<WORD coords="2388,4036,2617,3963,4016">parcial</WORD>
<WORD coords="2677,4019,2752,3965,4017">79</WORD>
<WORD coords="2792,4014,3042,3955,4011">todabia</WORD>
<WORD coords="3109,4011,3180,3973,4011">t%</WORD>
</LINE>
<LINE>
<WORD coords="805,4134,1022,4085,4129">menor</WORD>
<WORD coords="1068,4146,1189,4087,4128">que</WORD>
<WORD coords="1232,4126,1292,4068,4125">el</WORD>
<WORD coords="1337,4143,1627,4065,4125">divisar,</WORD>
<WORD coords="1672,4146,1826,4083,4124">pues</WORD>
<WORD coords="1876,4145,2092,4083,4123">pongo</WORD>
<WORD coords="2134,4123,2175,4073,4123">Q</WORD>
<WORD coords="2232,4125,2306,4086,4124">en</WORD>
<WORD coords="2351,4127,2409,4068,4126">el</WORD>
<WORD coords="2470,4126,2748,4068,4125">cociente</WORD>
<WORD coords="2809,4143,2847,4083,4142">y</WORD>
<WORD coords="2923,4142,3069,4061,4118">bajo</WORD>
<WORD coords="3123,4120,3188,4060,4119">el</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0044.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0045.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0045.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1254,564,1400,474,562">35</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="142,696,363,634,690">Utimo</WORD>
<WORD coords="418,711,738,626,686">guarismo</WORD>
<WORD coords="802,700,873,635,690">3,</WORD>
<WORD coords="919,684,981,627,683">la</WORD>
<WORD coords="1023,705,1143,645,682">que</WORD>
<WORD coords="1205,683,1302,646,681">rué</WORD>
<WORD coords="1349,685,1425,635,684">da</WORD>
<WORD coords="1484,687,1596,632,685">703</WORD>
<WORD coords="1659,704,1764,648,685">por</WORD>
<WORD coords="1814,686,1872,630,684">di</WORD>
<WORD coords="1888,685,1988,629,684">vid</WORD>
<WORD coords="2016,687,2114,629,684">inri</WORD>
<WORD coords="2142,686,2156,655,686">)</WORD>
<WORD coords="2232,708,2486,626,688">parciaf;</WORD>
</LINE>
<LINE>
<WORD coords="144,798,325,743,796">edmo</WORD>
<WORD coords="371,796,504,749,794">este</WORD>
<WORD coords="564,795,824,757,792">numero</WORD>
<WORD coords="892,792,1170,747,790">contiene</WORD>
<WORD coords="1231,789,1282,733,789">al</WORD>
<WORD coords="1345,790,1581,734,788">divisor</WORD>
<WORD coords="1617,806,1632,781,806">,</WORD>
<WORD coords="1686,814,1832,737,790">digo</WORD>
<WORD coords="1872,795,1885,762,793">;</WORD>
<WORD coords="1931,792,1982,738,791">el</WORD>
<WORD coords="2023,793,2052,746,793">2</WORD>
<WORD coords="2102,794,2171,759,794">en</WORD>
<WORD coords="2222,794,2273,740,793">el</WORD>
<WORD coords="2326,797,2358,746,796">7</WORD>
<WORD coords="2406,796,2507,762,796">ca-</WORD>
</LINE>
<LINE>
<WORD coords="144,907,217,850,905">be</WORD>
<WORD coords="275,902,307,854,902">3</WORD>
<WORD coords="358,914,580,865,902">veces,</WORD>
<WORD coords="640,921,840,864,898">pongo</WORD>
<WORD coords="892,896,921,850,898">3</WORD>
<WORD coords="995,897,1066,862,896">en</WORD>
<WORD coords="1125,900,1177,842,897">el</WORD>
<WORD coords="1237,898,1511,834,896">cociétfie</WORD>
<WORD coords="1546,920,1563,885,920">?</WORD>
<WORD coords="1622,898,1675,843,897">le</WORD>
<WORD coords="1734,925,2083,843,900">multiplico</WORD>
<WORD coords="2134,925,2241,865,906">por</WORD>
<WORD coords="2300,904,2353,844,903">el</WORD>
<WORD coords="2414,903,2508,849,902">di-</WORD>
</LINE>
<LINE>
<WORD coords="144,1011,316,952,1008">visor</WORD>
<WORD coords="353,1023,368,997,1015">,</WORD>
<WORD coords="413,1008,467,952,1008">el</WORD>
<WORD coords="529,1022,834,949,1004">producto</WORD>
<WORD coords="895,1006,1009,955,1004">702</WORD>
<WORD coords="1057,1003,1118,968,1002">re</WORD>
<WORD coords="1159,1003,1181,960,1003">í</WORD>
<WORD coords="1204,1000,1221,968,1002">&gt;</WORD>
<WORD coords="1276,1002,1374,948,1000">del</WORD>
<WORD coords="1438,1006,1785,948,1003">dividendo</WORD>
<WORD coords="1865,1024,2092,951,1005">parcial</WORD>
<WORD coords="2154,1028,2187,974,1018">y</WORD>
<WORD coords="2240,1008,2290,955,1007">la</WORD>
<WORD coords="2350,1008,2407,974,1008">re</WORD>
<WORD coords="2451,1012,2511,970,1009">ta</WORD>
</LINE>
<LINE>
<WORD coords="132,1124,288,1054,1116">&apos;final</WORD>
<WORD coords="373,1116,446,1064,1115">91</WORD>
<WORD coords="532,1113,744,1058,1111">coloco</WORD>
<WORD coords="791,1112,819,1063,1113">á</WORD>
<WORD coords="872,1114,1298,1055,1109">continuación</WORD>
<WORD coords="1354,1111,1450,1055,1110">del</WORD>
<WORD coords="1500,1117,1772,1055,1115">cociente</WORD>
<WORD coords="1799,1133,1819,1104,1133">%</WORD>
<WORD coords="1845,1114,1886,1059,1113">ti</WORD>
<WORD coords="1903,1114,2090,1062,1112">raudo</WORD>
<WORD coords="2141,1137,2244,1080,1117">por</WORD>
<WORD coords="2293,1133,2513,1061,1115">debajo</WORD>
</LINE>
<LINE>
<WORD coords="144,1242,466,1159,1221">tfna*raya</WORD>
<WORD coords="526,1240,564,1183,1240">y</WORD>
<WORD coords="624,1242,765,1162,1217">bajo</WORD>
<WORD coords="823,1218,899,1163,1218">de</WORD>
<WORD coords="947,1218,1062,1163,1216">ella</WORD>
<WORD coords="1117,1218,1264,1163,1216">todo</WORD>
<WORD coords="1324,1216,1379,1164,1215">el</WORD>
<WORD coords="1441,1234,1724,1162,1217">divisor,</WORD>
<WORD coords="1770,1221,1891,1184,1220">con.</WORD>
<WORD coords="1935,1220,1994,1168,1220">ío</WORD>
<WORD coords="2043,1239,2158,1186,1224">que</WORD>
<WORD coords="2213,1225,2287,1169,1224">he</WORD>
<WORD coords="2365,1222,2511,1189,1222">con-</WORD>
</LINE>
<LINE>
<WORD coords="141,1329,352,1270,1327">cluido</WORD>
<WORD coords="431,1326,515,1270,1325">mi</WORD>
<WORD coords="577,1345,926,1268,1325">operación.</WORD>
<WORD coords="1027,1345,1189,1269,1323">Digo</WORD>
<WORD coords="1225,1338,1241,1313,1338">,</WORD>
<WORD coords="1330,1340,1477,1289,1325">pues</WORD>
<WORD coords="1508,1342,1523,1315,1342">,</WORD>
<WORD coords="1599,1345,1714,1290,1326">que</WORD>
<WORD coords="1788,1327,1843,1271,1326">el</WORD>
<WORD coords="1915,1328,2189,1273,1327">cociente</WORD>
<WORD coords="2272,1348,2502,1277,1331">pedido</WORD>
</LINE>
<LINE>
<WORD coords="143,1437,209,1374,1436">¿s</WORD>
<WORD coords="275,1437,433,1385,1437">2003</WORD>
<WORD coords="501,1439,802,1379,1435">unidades</WORD>
<WORD coords="851,1459,932,1375,1459">-J-</WORD>
<WORD coords="1003,1434,1071,1381,1435">71</WORD>
<WORD coords="1167,1437,1522,1376,1435">doscisntjs</WORD>
<WORD coords="1578,1437,1800,1379,1435">treinta</WORD>
<WORD coords="1848,1458,1883,1401,1449">y</WORD>
<WORD coords="1947,1441,2167,1397,1439">cuatro</WORD>
<WORD coords="2235,1455,2378,1404,1447">ayos</WORD>
<WORD coords="2430,1446,2508,1388,1445">de</WORD>
</LINE>
<LINE>
<WORD coords="142,1553,403,1488,1547">unidad.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="390,1657,879,1598,1654">Demostración.</WORD>
<WORD coords="984,1659,1071,1601,1659">Es</WORD>
<WORD coords="1117,1659,1172,1601,1658">la</WORD>
<WORD coords="1233,1662,1457,1600,1660">misma</WORD>
<WORD coords="1505,1681,1624,1624,1664">que</WORD>
<WORD coords="1686,1665,1890,1601,1664">dimos</WORD>
<WORD coords="1956,1684,2098,1625,1664">para</WORD>
<WORD coords="2162,1668,2218,1610,1667">la</WORD>
<WORD coords="2277,1672,2516,1613,1668">resolu-</WORD>
</LINE>
<LINE>
<WORD coords="143,1764,280,1691,1763">ción</WORD>
<WORD coords="329,1765,425,1707,1764">del</WORD>
<WORD coords="476,1783,785,1709,1765">problema</WORD>
<WORD coords="817,1790,974,1711,1775">[69].</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="308,1876,406,1823,1875">72.</WORD>
<WORD coords="497,1874,736,1816,1872">Escolio</WORD>
<WORD coords="818,1874,909,1819,1872">En</WORD>
<WORD coords="972,1874,1021,1820,1873">ia</WORD>
<WORD coords="1077,1877,1353,1819,1874">división</WORD>
<WORD coords="1414,1879,1490,1822,1878">de</WORD>
<WORD coords="1549,1881,1628,1843,1880">un</WORD>
<WORD coords="1674,1882,1935,1843,1880">numero</WORD>
<WORD coords="2004,1899,2364,1837,1880">compuesto</WORD>
<WORD coords="2402,1899,2512,1843,1881">por</WORD>
</LINE>
<LINE>
<WORD coords="139,1982,277,1930,1978">«fro</WORD>
<WORD coords="338,1998,703,1936,1979">compuesto</WORD>
<WORD coords="735,1996,751,1969,1990">,</WORD>
<WORD coords="829,1981,1048,1922,1980">hemos</WORD>
<WORD coords="1126,1987,1311,1929,1984">dicho</WORD>
<WORD coords="1366,2006,1484,1952,1987">que</WORD>
<WORD coords="1545,1986,1608,1953,1986">se</WORD>
<WORD coords="1673,2008,1871,1951,1987">ponga</WORD>
<WORD coords="1930,2006,2039,1952,1987">por</WORD>
<WORD coords="2112,1991,2384,1934,1989">cociente</WORD>
<WORD coords="2434,1989,2492,1935,1988">el</WORD>
</LINE>
<LINE>
<WORD coords="138,2087,400,2048,2085">numero</WORD>
<WORD coords="453,2088,529,2032,2087">de</WORD>
<WORD coords="578,2089,758,2051,2087">veces</WORD>
<WORD coords="806,2105,923,2051,2088">que</WORD>
<WORD coords="972,2088,1025,2034,2088">el</WORD>
<WORD coords="1076,2109,1303,2039,2089">primer</WORD>
<WORD coords="1337,2115,1657,2038,2092">guarismo</WORD>
<WORD coords="1705,2094,1806,2038,2093">del</WORD>
<WORD coords="1846,2097,2084,2039,2094">divisor</WORD>
<WORD coords="2140,2100,2202,2064,2099">se</WORD>
<WORD coords="2266,2095,2502,2041,2094">contie-</WORD>
</LINE>
<LINE>
<WORD coords="122,2206,217,2145,2199">ne</WORD>
<WORD coords="274,2192,345,2157,2191">en</WORD>
<WORD coords="402,2195,454,2137,2192">el</WORD>
<WORD coords="512,2210,780,2137,2192">primero</WORD>
<WORD coords="830,2194,863,2160,2195">®</WORD>
<WORD coords="913,2196,1025,2141,2194">dos</WORD>
<WORD coords="1094,2214,1398,2141,2196">primeros</WORD>
<WORD coords="1456,2199,1556,2144,2198">del</WORD>
<WORD coords="1629,2200,1971,2144,2199">dividendo</WORD>
<WORD coords="2031,2219,2252,2151,2203">parcial</WORD>
<WORD coords="2291,2215,2305,2171,2215">;</WORD>
<WORD coords="2360,2221,2513,2164,2201">pero</WORD>
</LINE>
<LINE>
<WORD coords="139,2300,266,2255,2297">este</WORD>
<WORD coords="323,2299,595,2243,2297">cociente</WORD>
<WORD coords="647,2299,725,2263,2299">no</WORD>
<WORD coords="771,2320,1038,2246,2300">siempre</WORD>
<WORD coords="1088,2303,1151,2268,2303">es</WORD>
<WORD coords="1211,2304,1266,2248,2303">el</WORD>
<WORD coords="1304,2307,1649,2250,2304">verdadero</WORD>
<WORD coords="1685,2322,1698,2296,2322">,</WORD>
<WORD coords="1732,2324,1879,2272,2307">pues</WORD>
<WORD coords="1930,2308,2015,2254,2307">las</WORD>
<WORD coords="2052,2309,2179,2275,2309">mas</WORD>
<WORD coords="2220,2309,2397,2274,2308">veces</WORD>
<WORD coords="2444,2310,2512,2273,2309">es</WORD>
</LINE>
<LINE>
<WORD coords="133,2424,348,2365,2402">mayor</WORD>
<WORD coords="379,2412,417,2367,2412">y</WORD>
<WORD coords="449,2428,712,2349,2404">algunas</WORD>
<WORD coords="776,2426,890,2370,2407">por</WORD>
<WORD coords="932,2410,1235,2352,2409">descuido</WORD>
<WORD coords="1289,2411,1352,2375,2410">se</WORD>
<WORD coords="1403,2414,1574,2358,2413">suele</WORD>
<WORD coords="1632,2434,1823,2376,2412">poner</WORD>
<WORD coords="1869,2415,2102,2378,2414">menor.</WORD>
<WORD coords="2150,2415,2296,2361,2414">Para</WORD>
<WORD coords="2333,2416,2516,2379,2415">cono-</WORD>
</LINE>
<LINE>
<WORD coords="140,2509,240,2471,2508">cer</WORD>
<WORD coords="288,2509,340,2453,2508">si</WORD>
<WORD coords="392,2511,445,2455,2510">el</WORD>
<WORD coords="506,2513,781,2457,2511">cociente</WORD>
<WORD coords="846,2514,916,2478,2514">es</WORD>
<WORD coords="977,2531,1191,2480,2515">mayor</WORD>
<WORD coords="1249,2536,1367,2483,2518">que</WORD>
<WORD coords="1443,2519,1500,2465,2519">el</WORD>
<WORD coords="1562,2521,1909,2465,2519">verdadero</WORD>
<WORD coords="1944,2534,1959,2509,2528">,</WORD>
<WORD coords="2036,2522,2323,2467,2520">daremos</WORD>
<WORD coords="2385,2523,2519,2477,2520">ceta</WORD>
</LINE>
<LINE>
<WORD coords="139,2637,307,2562,2614">regla</WORD>
<WORD coords="344,2621,359,2586,2622">:</WORD>
<WORD coords="445,2624,528,2562,2622">El</WORD>
<WORD coords="568,2622,830,2566,2620">cociente</WORD>
<WORD coords="876,2621,935,2586,2620">es</WORD>
<WORD coords="996,2644,1207,2587,2621">mayor</WORD>
<WORD coords="1252,2625,1323,2570,2624">de</WORD>
<WORD coords="1367,2626,1417,2571,2626">lo</WORD>
<WORD coords="1479,2643,1591,2590,2626">que</WORD>
<WORD coords="1648,2628,1788,2571,2626">debe</WORD>
<WORD coords="1838,2629,1937,2591,2627">ser</WORD>
<WORD coords="1967,2640,1982,2616,2634">,</WORD>
<WORD coords="2035,2628,2263,2574,2627">cuando</WORD>
<WORD coords="2312,2626,2515,2572,2625">multi-</WORD>
</LINE>
<LINE>
<WORD coords="139,2754,375,2673,2729">plicado</WORD>
<WORD coords="421,2753,543,2685,2734">por</WORD>
<WORD coords="598,2734,658,2676,2733">ti</WORD>
<WORD coords="720,2735,953,2676,2732">divisor</WORD>
<WORD coords="1019,2736,1095,2680,2735">da</WORD>
<WORD coords="1182,2735,1262,2698,2735">un</WORD>
<WORD coords="1295,2757,1600,2683,2736">producto,</WORD>
<WORD coords="1657,2758,1868,2701,2740">mayor</WORD>
<WORD coords="1928,2763,2036,2704,2739">que</WORD>
<WORD coords="2092,2734,2146,2680,2734">el</WORD>
<WORD coords="2194,2734,2514,2678,2732">dividendo</WORD>
</LINE>
<LINE>
<WORD coords="138,2860,389,2780,2834">parcial</WORD>
<WORD coords="419,2850,434,2824,2846">,</WORD>
<WORD coords="481,2842,562,2803,2841">en</WORD>
<WORD coords="606,2840,734,2795,2839">este</WORD>
<WORD coords="782,2841,924,2803,2840">caso</WORD>
<WORD coords="970,2843,1197,2785,2841">deberá</WORD>
<WORD coords="1247,2865,1554,2787,2845">rebajarse</WORD>
<WORD coords="1617,2845,1715,2789,2843">del</WORD>
<WORD coords="1765,2847,2037,2792,2844">cociente</WORD>
<WORD coords="2098,2842,2214,2805,2840">una</WORD>
<WORD coords="2279,2840,2314,2786,2841">ó</WORD>
<WORD coords="2384,2842,2519,2804,2840">mas</WORD>
</LINE>
<LINE>
<WORD coords="152,2945,475,2885,2942">unidades.</WORD>
<WORD coords="573,2946,724,2889,2944">Para</WORD>
<WORD coords="771,2948,1032,2907,2946">conocer</WORD>
<WORD coords="1082,2948,1132,2892,2948">si</WORD>
<WORD coords="1192,2950,1246,2897,2949">el</WORD>
<WORD coords="1307,2953,1580,2896,2950">cociente</WORD>
<WORD coords="1634,2952,1698,2916,2951">es</WORD>
<WORD coords="1756,2952,1967,2917,2950">menor</WORD>
<WORD coords="2026,2970,2143,2917,2950">que</WORD>
<WORD coords="2193,2948,2244,2895,2947">el</WORD>
<WORD coords="2298,2949,2517,2894,2947">verda-</WORD>
</LINE>
<LINE>
<WORD coords="159,3049,308,2992,3048">dero</WORD>
<WORD coords="354,3052,643,2994,3051">daremos</WORD>
<WORD coords="698,3057,924,3011,3055">estotra</WORD>
<WORD coords="985,3077,1152,3001,3055">regía</WORD>
<WORD coords="1190,3058,1202,3022,3057">:</WORD>
<WORD coords="1255,3057,1310,3004,3056">el</WORD>
<WORD coords="1355,3060,1617,3014,3057">cociente</WORD>
<WORD coords="1666,3057,1725,3023,3057">es</WORD>
<WORD coords="1780,3058,1990,3016,3056">menor</WORD>
<WORD coords="2044,3064,2156,3021,3058">que</WORD>
<WORD coords="2200,3061,2253,3007,3061">el</WORD>
<WORD coords="2295,3078,2445,3003,3057">verjl</WORD>
<WORD coords="2489,3050,2510,3034,3050">-</WORD>
</LINE>
<LINE>
<WORD coords="160,3157,300,3099,3155">dero</WORD>
<WORD coords="334,3171,350,3146,3167">,</WORD>
<WORD coords="410,3160,639,3105,3157">cuando</WORD>
<WORD coords="695,3183,1103,3106,3161">multiplicado</WORD>
<WORD coords="1149,3184,1267,3120,3164">por</WORD>
<WORD coords="1313,3166,1368,3110,3164">el</WORD>
<WORD coords="1402,3167,1636,3108,3163">divisor</WORD>
<WORD coords="1691,3183,1730,3128,3174">y</WORD>
<WORD coords="1802,3165,2039,3109,3162">restada</WORD>
<WORD coords="2088,3165,2212,3121,3163">este</WORD>
<WORD coords="2255,3174,2365,3121,3163">pro</WORD>
<WORD coords="2375,3164,2424,3109,3163">di</WORD>
<WORD coords="2463,3164,2488,3128,3164">c</WORD>
</LINE>
<LINE>
<WORD coords="164,3263,219,3216,3262">to</WORD>
<WORD coords="257,3263,352,3207,3261">del</WORD>
<WORD coords="377,3267,691,3208,3264">dividendo</WORD>
<WORD coords="718,3288,964,3214,3266">parcial</WORD>
<WORD coords="995,3284,1010,3257,3277">,</WORD>
<WORD coords="1041,3270,1097,3212,3269">la</WORD>
<WORD coords="1144,3277,1314,3223,3272">resta</WORD>
<WORD coords="1359,3271,1420,3235,3270">es</WORD>
<WORD coords="1477,3290,1648,3216,3268">igual</WORD>
<WORD coords="1679,3270,1706,3234,3270">o</WORD>
<WORD coords="1757,3290,1965,3234,3268">maye,?</WORD>
<WORD coords="2012,3296,2122,3235,3272">que</WORD>
<WORD coords="2165,3269,2215,3226,3268">el</WORD>
<WORD coords="2264,3277,2346,3213,3272">d&apos;:%</WORD>
<WORD coords="2370,3276,2521,3237,3266">..,.*;</WORD>
</LINE>
<LINE>
<WORD coords="165,3387,261,3330,3367">po¿</WORD>
<WORD coords="322,3372,571,3333,3369">manera</WORD>
<WORD coords="614,3388,733,3336,3373">que</WORD>
<WORD coords="783,3374,962,3317,3373">dicha</WORD>
<WORD coords="1020,3378,1180,3333,3375">resta</WORD>
<WORD coords="1234,3395,1503,3323,3376">siempre</WORD>
<WORD coords="1552,3376,1704,3322,3375">debe</WORD>
<WORD coords="1761,3376,1851,3341,3375">ser</WORD>
<WORD coords="1894,3378,2105,3341,3377">menor</WORD>
<WORD coords="2155,3387,2269,3342,3383">que</WORD>
<WORD coords="2334,3376,2388,3323,3375">ti</WORD>
<WORD coords="2423,3376,2516,3323,3375">di.</WORD>
</LINE>
<LINE>
<WORD coords="153,3491,368,3418,3474">visor,</WORD>
<WORD coords="414,3495,454,3440,3489">y</WORD>
<WORD coords="511,3479,585,3441,3478">en</WORD>
<WORD coords="640,3480,783,3441,3479">caso</WORD>
<WORD coords="831,3500,1287,3428,3483">contraríense</WORD>
<WORD coords="1343,3484,1640,3428,3482">añadirán</WORD>
<WORD coords="1703,3484,1760,3429,3483">al</WORD>
<WORD coords="1821,3488,2097,3429,3485">cociente</WORD>
<WORD coords="2160,3487,2237,3450,3486">un</WORD>
<WORD coords="2315,3485,2347,3431,3484">ó</WORD>
<WORD coords="2388,3483,2514,3448,3482">.&lt;as</WORD>
</LINE>
<LINE>
<WORD coords="146,3586,470,3529,3584">unidades.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="398,3694,550,3638,3693">Para</WORD>
<WORD coords="599,3694,676,3657,3694">no</WORD>
<WORD coords="727,3698,919,3640,3695">llenar</WORD>
<WORD coords="952,3716,1127,3644,3697">papel</WORD>
<WORD coords="1179,3698,1238,3643,3697">ni</WORD>
<WORD coords="1297,3719,1500,3655,3697">gastar</WORD>
<WORD coords="1565,3703,1787,3646,3700">mucho</WORD>
<WORD coords="1833,3717,2073,3657,3701">tiempo</WORD>
<WORD coords="2129,3698,2201,3665,3698">*n</WORD>
<WORD coords="2269,3676,2282,3646,3676">!</WORD>
<WORD coords="2294,3697,2344,3665,3692">?&lt;</WORD>
<WORD coords="2388,3706,2517,3652,3702">ten.-</WORD>
</LINE>
<LINE>
<WORD coords="136,3799,358,3742,3797">tativas</WORD>
<WORD coords="405,3799,483,3744,3799">de</WORD>
<WORD coords="542,3802,762,3744,3799">añadir</WORD>
<WORD coords="817,3802,854,3746,3802">ó</WORD>
<WORD coords="923,3821,1127,3747,3802">quitar</WORD>
<WORD coords="1186,3805,1440,3756,3804">muchas</WORD>
<WORD coords="1506,3812,1684,3770,3806">veces</WORD>
<WORD coords="1736,3805,1784,3753,3804">la</WORD>
<WORD coords="1846,3808,1876,3771,3808">u</WORD>
<WORD coords="1936,3807,2072,3752,3806">ídael</WORD>
<WORD coords="2125,3818,2179,3754,3808">aj</WORD>
<WORD coords="2211,3806,2224,3774,3805">&lt;</WORD>
<WORD coords="2328,3805,2339,3754,3805">i</WORD>
<WORD coords="2436,3819,2514,3759,3805">te,</WORD>
</LINE>
<LINE>
<WORD coords="131,3916,459,3846,3905">6%ervese</WORD>
<WORD coords="508,3907,638,3865,3906">esta</WORD>
<WORD coords="689,3928,856,3854,3905">regla</WORD>
<WORD coords="894,3908,906,3874,3909">:</WORD>
<WORD coords="974,3908,1030,3854,3907">el</WORD>
<WORD coords="1071,3910,1335,3865,3909">cociente</WORD>
<WORD coords="1379,3910,1619,3855,3909">hallado</WORD>
<WORD coords="1679,3938,2208,3857,3910">multipiiplique*&gt;e</WORD>
<WORD coords="2213,3927,2218,3919,3927">t</WORD>
<WORD coords="2255,3910,2495,3852,3908">mental-</WORD>
</LINE>
<LINE>
<WORD coords="130,4012,321,3967,4007">Viente</WORD>
<WORD coords="349,4026,366,4002,4020">,</WORD>
<WORD coords="413,4015,511,3961,4013">sin</WORD>
<WORD coords="565,4016,889,3961,4014">escribirlo.</WORD>
<WORD coords="913,4027,928,4003,4027">,</WORD>
<WORD coords="970,4038,1087,3971,4014">por</WORD>
<WORD coords="1143,4015,1226,3963,4014">los</WORD>
<WORD coords="1276,4015,1377,3969,4013">dos</WORD>
<WORD coords="1422,4034,1647,3971,4013">primer</WORD>
<WORD coords="1666,4017,1725,3983,4017">os</WORD>
<WORD coords="1771,4037,2112,3981,4018">guarismo*</WORD>
<WORD coords="2166,4016,2235,3965,4016">de</WORD>
<WORD coords="2292,4014,2312,3962,4014">l</WORD>
<WORD coords="2337,4010,2348,3984,4012">¡</WORD>
<WORD coords="2435,4013,2469,3975,4013">Z</WORD>
<WORD coords="2487,3997,2501,3989,3997">-</WORD>
</LINE>
<LINE>
<WORD coords="124,4142,377,4060,4119">fuierda</WORD>
<WORD coords="428,4124,522,4064,4122">del</WORD>
<WORD coords="567,4123,626,4066,4123">d&gt;</WORD>
<WORD coords="626,4124,802,4068,4123">vinar</WORD>
<WORD coords="830,4141,847,4113,4141">,</WORD>
<WORD coords="889,4146,928,4088,4135">y</WORD>
<WORD coords="991,4125,1167,4085,4123">véase</WORD>
<WORD coords="1215,4124,1273,4069,4123">si</WORD>
<WORD coords="1328,4124,1452,4077,4123">e¿te</WORD>
<WORD coords="1504,4149,1804,4077,4126">producto</WORD>
<WORD coords="1863,4127,1931,4091,4127">no</WORD>
<WORD coords="1992,4125,2049,4092,4125">c*</WORD>
<WORD coords="2117,4124,2168,4086,4124">m</WORD>
<WORD coords="2216,4143,2325,4083,4121">yor</WORD>
<WORD coords="2384,4141,2503,4082,4115">$uc</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0045.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0046.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0046.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1960,515,2104,429,514">86</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="848,631,936,572,628">los</WORD>
<WORD coords="988,627,1089,573,627">dos</WORD>
<WORD coords="1125,628,1154,589,628">o</WORD>
<WORD coords="1188,629,1312,583,627">tres</WORD>
<WORD coords="1366,653,1668,574,628">primeros</WORD>
<WORD coords="1702,652,2057,576,632">guarismos</WORD>
<WORD coords="2120,638,2190,581,637">de</WORD>
<WORD coords="2237,665,2559,589,642">izquierda</WORD>
<WORD coords="2618,650,2712,592,649">del</WORD>
<WORD coords="2748,659,3064,594,656">dividendo</WORD>
<WORD coords="3091,670,3104,627,669">;</WORD>
<WORD coords="3136,668,3216,621,663">n$</WORD>
</LINE>
<LINE>
<WORD coords="846,736,1113,679,734">siéndolo</WORD>
<WORD coords="1150,750,1165,723,748">,</WORD>
<WORD coords="1216,733,1273,682,733">el</WORD>
<WORD coords="1311,736,1574,681,734">cociente</WORD>
<WORD coords="1622,737,1694,701,736">no</WORD>
<WORD coords="1740,741,1883,703,738">sera</WORD>
<WORD coords="1932,763,2144,705,741">mayor</WORD>
<WORD coords="2179,762,2194,734,762">,</WORD>
<WORD coords="2239,770,2351,711,747">que</WORD>
<WORD coords="2410,749,2470,713,749">es</WORD>
<WORD coords="2517,752,2568,697,752">lo</WORD>
<WORD coords="2633,778,2746,718,754">que</WORD>
<WORD coords="2789,760,2915,723,759">mas</WORD>
<WORD coords="2973,771,3208,712,765">sucede.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1094,841,1155,786,841">Si</WORD>
<WORD coords="1217,840,1269,787,840">el</WORD>
<WORD coords="1319,842,1437,789,840">2.°</WORD>
<WORD coords="1508,863,1824,788,844">guarismo</WORD>
<WORD coords="1886,850,1985,794,849">del</WORD>
<WORD coords="2032,853,2272,795,851">divisor</WORD>
<WORD coords="2317,857,2489,798,855">fuera</WORD>
<WORD coords="2544,875,2626,806,870">7,</WORD>
<WORD coords="2681,880,2844,809,871">8,ó</WORD>
<WORD coords="2892,883,2971,816,877">9,</WORD>
<WORD coords="3016,883,3206,817,870">pode-</WORD>
</LINE>
<LINE>
<WORD coords="838,949,978,910,948">mos</WORD>
<WORD coords="1031,948,1231,893,947">evitar</WORD>
<WORD coords="1280,950,1536,893,948">muchas</WORD>
<WORD coords="1594,954,1923,897,952">tentativas</WORD>
<WORD coords="1959,971,1974,945,965">,</WORD>
<WORD coords="2022,955,2073,898,955">si</WORD>
<WORD coords="2131,957,2182,904,957">a!</WORD>
<WORD coords="2239,977,2470,904,960">primer</WORD>
<WORD coords="2518,986,2836,912,967">guarismo</WORD>
<WORD coords="2884,974,2961,921,973">de</WORD>
<WORD coords="3017,977,3072,922,977">ia</WORD>
<WORD coords="3099,981,3198,924,979">iz-</WORD>
</LINE>
<LINE>
<WORD coords="838,1074,1102,999,1053">quierda</WORD>
<WORD coords="1153,1055,1253,1001,1054">dei</WORD>
<WORD coords="1302,1056,1541,1001,1054">divisor</WORD>
<WORD coords="1592,1055,1636,1003,1054">it</WORD>
<WORD coords="1690,1063,2016,1005,1059">añadimos</WORD>
<WORD coords="2066,1070,2501,1012,1066">mentalmente</WORD>
<WORD coords="2564,1074,2681,1037,1072">una</WORD>
<WORD coords="2714,1080,2948,1020,1076">unidad</WORD>
<WORD coords="2976,1096,2992,1069,1096">,</WORD>
<WORD coords="3037,1103,3074,1046,1094">y</WORD>
<WORD coords="3108,1085,3202,1026,1084">asi</WORD>
</LINE>
<LINE>
<WORD coords="833,1161,1212,1106,1159">aumentado</WORD>
<WORD coords="1273,1166,1486,1126,1161">vemos</WORD>
<WORD coords="1543,1165,1794,1122,1164">cuantas</WORD>
<WORD coords="1852,1169,2031,1131,1166">veces</WORD>
<WORD coords="2080,1171,2226,1116,1170">cabe</WORD>
<WORD coords="2276,1173,2353,1137,1172">en</WORD>
<WORD coords="2402,1175,2458,1121,1175">el</WORD>
<WORD coords="2505,1196,2775,1123,1181">primero</WORD>
<WORD coords="2808,1186,2844,1131,1186">ó</WORD>
<WORD coords="2914,1187,3027,1131,1186">dos</WORD>
<WORD coords="3074,1209,3198,1134,1189">pri-</WORD>
</LINE>
<LINE>
<WORD coords="831,1267,1043,1227,1265">meros</WORD>
<WORD coords="1091,1289,1442,1215,1267">guarismos</WORD>
<WORD coords="1490,1269,1590,1214,1268">del</WORD>
<WORD coords="1650,1275,2016,1215,1271">dividendo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1002,1376,1096,1324,1377">73,</WORD>
<WORD coords="1192,1378,1397,1320,1376">Como</WORD>
<WORD coords="1444,1378,1631,1320,1376">hacer</WORD>
<WORD coords="1694,1379,1721,1327,1383">á</WORD>
<WORD coords="1773,1380,1855,1345,1380">un</WORD>
<WORD coords="1932,1385,2190,1346,1383">numero</WORD>
<WORD coords="2246,1389,2323,1338,1395">10</WORD>
<WORD coords="2350,1408,2367,1377,1391">,</WORD>
<WORD coords="2394,1391,2511,1341,1388">100</WORD>
<WORD coords="2540,1362,2548,1353,1375">*</WORD>
<WORD coords="2587,1396,2677,1334,1395">&amp;c</WORD>
<WORD coords="2728,1400,2907,1360,1398">veces</WORD>
<WORD coords="2981,1405,3198,1363,1402">menor</WORD>
</LINE>
<LINE>
<WORD coords="826,1482,891,1444,1481">es</WORD>
<WORD coords="942,1482,1240,1424,1481">dividirlo</WORD>
<WORD coords="1304,1503,1412,1448,1484">por</WORD>
<WORD coords="1467,1486,1542,1438,1485">ÍO</WORD>
<WORD coords="1568,1503,1584,1477,1498">,</WORD>
<WORD coords="1621,1488,1736,1440,1488">100</WORD>
<WORD coords="1789,1490,1876,1433,1488">&amp;c</WORD>
<WORD coords="1917,1503,1933,1458,1498">;</WORD>
<WORD coords="1966,1491,2033,1457,1490">se</WORD>
<WORD coords="2094,1516,2267,1437,1493">sigue</WORD>
<WORD coords="2319,1515,2439,1461,1499">que</WORD>
<WORD coords="2494,1518,2655,1456,1500">para</WORD>
<WORD coords="2700,1506,2931,1449,1504">dividir</WORD>
<WORD coords="2975,1507,3056,1469,1507">un</WORD>
<WORD coords="3087,1508,3197,1470,1507">nu-</WORD>
</LINE>
<LINE>
<WORD coords="827,1588,993,1551,1587">mero</WORD>
<WORD coords="1040,1610,1157,1544,1587">por</WORD>
<WORD coords="1204,1589,1263,1535,1588">la</WORD>
<WORD coords="1311,1594,1541,1535,1591">unidad</WORD>
<WORD coords="1601,1617,1858,1540,1596">seguida</WORD>
<WORD coords="1914,1598,1985,1542,1597">de</WORD>
<WORD coords="2024,1600,2192,1563,1598">ceros</WORD>
<WORD coords="2221,1617,2237,1588,1611">,</WORD>
<WORD coords="2285,1605,2358,1565,1604">no</WORD>
<WORD coords="2417,1609,2609,1549,1604">habrá</WORD>
<WORD coords="2655,1609,2780,1573,1608">mas</WORD>
<WORD coords="2842,1634,2953,1574,1611">que</WORD>
<WORD coords="3010,1615,3195,1561,1613">hacer</WORD>
</LINE>
<LINE>
<WORD coords="833,1722,1058,1642,1708">(¿íj,</WORD>
<WORD coords="1105,1699,1239,1642,1697">sino</WORD>
<WORD coords="1286,1721,1602,1650,1700">separarle</WORD>
<WORD coords="1654,1704,1760,1666,1702">con</WORD>
<WORD coords="1810,1704,1865,1650,1702">la</WORD>
<WORD coords="1911,1707,2073,1668,1705">coma</WORD>
<WORD coords="2128,1711,2381,1651,1708">decimal</WORD>
<WORD coords="2419,1711,2490,1658,1711">de</WORD>
<WORD coords="2546,1716,2606,1658,1714">la</WORD>
<WORD coords="2682,1718,2937,1658,1716">derecha</WORD>
<WORD coords="2988,1719,3193,1672,1717">tantos</WORD>
</LINE>
<LINE>
<WORD coords="814,1824,1177,1768,1804">¿uartsmcs</WORD>
<WORD coords="1225,1807,1383,1768,1805">cerno</WORD>
<WORD coords="1446,1808,1614,1770,1805">ceros</WORD>
<WORD coords="1660,1830,1783,1752,1809">hay</WORD>
<WORD coords="1833,1833,2083,1758,1812">después</WORD>
<WORD coords="2131,1814,2204,1758,1813">de</WORD>
<WORD coords="2253,1817,2312,1761,1816">la</WORD>
<WORD coords="2357,1821,2592,1764,1819">unidad</WORD>
<WORD coords="2615,1836,2631,1810,1836">,</WORD>
<WORD coords="2681,1841,2725,1784,1841">y</WORD>
<WORD coords="2771,1842,2971,1778,1824">poner</WORD>
<WORD coords="3015,1825,3191,1768,1824">deba-</WORD>
</LINE>
<LINE>
<WORD coords="802,1934,882,1858,1910">jo</WORD>
<WORD coords="934,1915,1029,1861,1914">del</WORD>
<WORD coords="1061,1933,1382,1863,1914">guarismo</WORD>
<WORD coords="1446,1917,1476,1879,1917">o</WORD>
<WORD coords="1516,1935,1872,1864,1916">guarismos</WORD>
<WORD coords="1930,1943,2259,1870,1922">separados</WORD>
<WORD coords="2318,1927,2454,1888,1925">ocia</WORD>
<WORD coords="2505,1933,2562,1873,1930">la</WORD>
<WORD coords="2622,1932,2877,1873,1929">derecha</WORD>
<WORD coords="2922,1929,2976,1873,1928">el</WORD>
<WORD coords="3028,1930,3187,1872,1928">divi-</WORD>
</LINE>
<LINE>
<WORD coords="824,2021,930,1985,2018">sor</WORD>
<WORD coords="956,2034,973,2009,2030">,</WORD>
<WORD coords="1019,2021,1048,1984,2021">o</WORD>
<WORD coords="1100,2022,1233,1964,2020">bien</WORD>
<WORD coords="1306,2024,1598,1968,2022">retenerla</WORD>
<WORD coords="1655,2025,1725,1989,2024">en</WORD>
<WORD coords="1772,2026,1829,1971,2025">la</WORD>
<WORD coords="1885,2033,2190,1975,2028">memoria.</WORD>
<WORD coords="2289,2037,2410,1981,2036">Por</WORD>
<WORD coords="2466,2060,2757,1983,2039">ejemplo.</WORD>
<WORD coords="2846,2039,2910,1985,2038">Si</WORD>
<WORD coords="2966,2042,3030,2003,2040">se</WORD>
<WORD coords="3087,2036,3187,1998,2036">me</WORD>
</LINE>
<LINE>
<WORD coords="819,2149,966,2073,2129">pide</WORD>
<WORD coords="1015,2150,1134,2094,2131">que</WORD>
<WORD coords="1196,2132,1414,2073,2131">divida</WORD>
<WORD coords="1447,2133,1650,2080,2133">46538</WORD>
<WORD coords="1708,2154,1816,2098,2134">por</WORD>
<WORD coords="1877,2139,1949,2088,2138">10</WORD>
<WORD coords="1984,2157,2001,2127,2150">,</WORD>
<WORD coords="2030,2143,2248,2085,2140">tendré</WORD>
<WORD coords="2304,2144,2358,2089,2144">el</WORD>
<WORD coords="2412,2149,2689,2091,2147">cociente</WORD>
<WORD coords="2743,2149,2904,2096,2148">4653</WORD>
<WORD coords="2939,2163,2957,2135,2155">,</WORD>
<WORD coords="3018,2148,3050,2101,2148">8</WORD>
<WORD coords="3082,2165,3104,2116,2157">;</WORD>
<WORD coords="3133,2149,3185,2090,2149">ú</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2999,2267,3096,2205,2259">10,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="811,2342,925,2281,2321">por</WORD>
<WORD coords="985,2324,1103,2273,2324">100</WORD>
<WORD coords="1134,2340,1151,2311,2335">,</WORD>
<WORD coords="1204,2325,1340,2285,2321">sera</WORD>
<WORD coords="1397,2325,1518,2271,2326">465</WORD>
<WORD coords="1552,2340,1568,2311,2335">,</WORD>
<WORD coords="1624,2326,1699,2276,2326">53</WORD>
<WORD coords="1729,2342,1745,2293,2336">;</WORD>
<WORD coords="1796,2328,1845,2271,2328">sí</WORD>
<WORD coords="1881,2348,1991,2291,2328">por</WORD>
<WORD coords="2027,2330,2186,2278,2329">1000</WORD>
<WORD coords="2217,2349,2233,2318,2342">,</WORD>
<WORD coords="2265,2335,2399,2295,2333">sera</WORD>
<WORD coords="2455,2356,2622,2278,2334">igual</WORD>
<WORD coords="2653,2336,2682,2280,2336">á</WORD>
<WORD coords="2723,2337,2804,2282,2336">46</WORD>
<WORD coords="2837,2353,2853,2325,2345">,</WORD>
<WORD coords="2898,2338,3016,2287,2337">538</WORD>
<WORD coords="3049,2351,3065,2304,2344">;</WORD>
<WORD coords="3098,2338,3175,2300,2337">en</WORD>
</LINE>
<LINE>
<WORD coords="1627,2431,1743,2384,2431">100</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="808,2514,934,2467,2511">esta</WORD>
<WORD coords="1000,2515,1220,2457,2513">última</WORD>
<WORD coords="1267,2534,1583,2461,2515">espresíon</WORD>
<WORD coords="1634,2515,1708,2480,2514">no</WORD>
<WORD coords="1761,2539,1964,2480,2517">pongo</WORD>
<WORD coords="2011,2519,2066,2462,2518">el</WORD>
<WORD coords="2131,2523,2372,2463,2520">divisor</WORD>
<WORD coords="2435,2526,2596,2475,2525">1000</WORD>
<WORD coords="2648,2545,2877,2468,2525">debajo</WORD>
<WORD coords="2941,2526,3019,2467,2525">de</WORD>
<WORD coords="3069,2527,3169,2467,2525">los</WORD>
</LINE>
<LINE>
<WORD coords="815,2643,1176,2564,2621">guarismos</WORD>
<WORD coords="1221,2642,1553,2567,2623">separados</WORD>
<WORD coords="1601,2624,1634,2569,2626">á</WORD>
<WORD coords="1686,2627,1955,2567,2625">derecha</WORD>
<WORD coords="1991,2644,2007,2614,2644">,</WORD>
<WORD coords="2060,2649,2170,2590,2629">por</WORD>
<WORD coords="2220,2648,2339,2591,2631">que</WORD>
<WORD coords="2388,2631,2446,2576,2630">lo</WORD>
<WORD coords="2497,2637,2961,2576,2633">sobrentiendo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1314,2808,1981,2746,2805">ABREVIACION</WORD>
<WORD coords="2037,2809,2218,2749,2807">DEL</WORD>
<WORD coords="2271,2815,2669,2752,2812">DIVIDIR,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="983,2987,1076,2930,2986">74</WORD>
<WORD coords="1172,3003,1317,2927,2983">Hay</WORD>
<WORD coords="1376,2984,1488,2927,2983">dos</WORD>
<WORD coords="1548,2987,1790,2929,2985">medios</WORD>
<WORD coords="1823,2988,1901,2930,2987">de</WORD>
<WORD coords="1934,2989,2216,2931,2988">abreviar</WORD>
<WORD coords="2261,2989,2316,2933,2989">la</WORD>
<WORD coords="2376,2992,2646,2935,2990">división</WORD>
<WORD coords="2681,3009,2698,2980,3000">,</WORD>
<WORD coords="2739,2991,2863,2952,2990">uno</WORD>
<WORD coords="2920,3010,3170,2937,2990">general</WORD>
</LINE>
<LINE>
<WORD coords="793,3114,840,3053,3104">y</WORD>
<WORD coords="883,3092,1022,3045,3090">otro</WORD>
<WORD coords="1070,3104,1399,3035,3089">particular</WORD>
<WORD coords="1456,3092,1531,3056,3091">en</WORD>
<WORD coords="1576,3094,1800,3036,3092">ciertos</WORD>
<WORD coords="1852,3095,2043,3059,3094">casos.</WORD>
<WORD coords="2136,3096,2229,3041,3095">La</WORD>
<WORD coords="2286,3099,2676,3042,3097">abreviación</WORD>
<WORD coords="2730,3119,2976,3040,3095">general</WORD>
<WORD coords="3024,3096,3170,3057,3094">con.</WORD>
</LINE>
<LINE>
<WORD coords="791,3199,948,3143,3197">si^te</WORD>
<WORD coords="1005,3198,1080,3161,3197">en</WORD>
<WORD coords="1128,3214,1247,3162,3198">que</WORD>
<WORD coords="1307,3198,1361,3143,3197">al</WORD>
<WORD coords="1441,3199,1668,3143,3197">mismo</WORD>
<WORD coords="1726,3219,1963,3144,3200">titrnpo</WORD>
<WORD coords="2021,3201,2098,3146,3201">de</WORD>
<WORD coords="2162,3223,2539,3147,3201">multiplicar</WORD>
<WORD coords="2594,3204,2649,3150,3203">el</WORD>
<WORD coords="2710,3208,2987,3153,3205">cociente</WORD>
<WORD coords="3057,3221,3169,3166,3206">por</WORD>
</LINE>
<LINE>
<WORD coords="793,3304,953,3249,3303">cada</WORD>
<WORD coords="1008,3324,1329,3248,3303">guarismo</WORD>
<WORD coords="1376,3305,1475,3246,3303">del</WORD>
<WORD coords="1518,3305,1762,3248,3303">divisor</WORD>
<WORD coords="1788,3321,1804,3295,3314">,</WORD>
<WORD coords="1855,3307,1918,3271,3307">se</WORD>
<WORD coords="1976,3327,2132,3252,3307">haga</WORD>
<WORD coords="2188,3308,2241,3255,3307">la</WORD>
<WORD coords="2297,3309,2458,3266,3308">resta</WORD>
<WORD coords="2519,3310,2618,3256,3310">del</WORD>
<WORD coords="2652,3313,2993,3255,3311">dividendo</WORD>
<WORD coords="3029,3327,3167,3275,3311">par-</WORD>
</LINE>
<LINE>
<WORD coords="792,3409,912,3354,3407">cial</WORD>
<WORD coords="950,3425,967,3397,3418">,</WORD>
<WORD coords="1008,3412,1100,3358,3409">sin</WORD>
<WORD coords="1149,3411,1411,3354,3409">escribir</WORD>
<WORD coords="1459,3410,1511,3356,3409">el</WORD>
<WORD coords="1575,3416,1879,3357,3411">producto</WORD>
<WORD coords="1929,3433,1968,3377,3422">y</WORD>
<WORD coords="2016,3412,2147,3360,3412">solo</WORD>
<WORD coords="2186,3416,2552,3360,3413">reteniendo</WORD>
<WORD coords="2613,3417,3039,3363,3415">mentalmente</WORD>
<WORD coords="3072,3419,3164,3364,3417">las</WORD>
</LINE>
<LINE>
<WORD coords="790,3519,1058,3458,3515">decenas</WORD>
<WORD coords="1114,3534,1254,3479,3516">para</WORD>
<WORD coords="1305,3538,1607,3461,3515">juntarías</WORD>
<WORD coords="1656,3518,1771,3482,3517">con</WORD>
<WORD coords="1832,3520,1887,3464,3519">el</WORD>
<WORD coords="1959,3537,2261,3465,3518">producto</WORD>
<WORD coords="2319,3538,2885,3465,3519">correspondiente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1045,3621,1172,3566,3621">Los</WORD>
<WORD coords="1219,3622,1394,3585,3621">casos</WORD>
<WORD coords="1455,3633,1854,3568,3622">particulares</WORD>
<WORD coords="1908,3624,1985,3567,3624">de</WORD>
<WORD coords="2032,3625,2424,3569,3623">abreviación</WORD>
<WORD coords="2484,3631,2646,3588,3625">son;</WORD>
<WORD coords="2704,3628,2729,3580,3628">I</WORD>
<WORD coords="2783,3611,2818,3575,3611">o</WORD>
<WORD coords="2902,3633,3155,3571,3628">Cuando</WORD>
</LINE>
<LINE>
<WORD coords="796,3733,853,3674,3732">el</WORD>
<WORD coords="910,3731,1231,3673,3729">dividendo</WORD>
<WORD coords="1285,3750,1329,3694,3741">y</WORD>
<WORD coords="1385,3732,1620,3677,3730">divisor</WORD>
<WORD coords="1695,3732,1923,3676,3730">acaban</WORD>
<WORD coords="1980,3731,2051,3693,3730">en</WORD>
<WORD coords="2124,3730,2240,3692,3729">ano</WORD>
<WORD coords="2299,3731,2329,3693,3731">o</WORD>
<WORD coords="2410,3736,2539,3694,3732">mas</WORD>
<WORD coords="2593,3740,2803,3697,3733">ceros;</WORD>
<WORD coords="2860,3733,2924,3694,3733">se</WORD>
<WORD coords="2968,3734,3152,3679,3732">borra</WORD>
</LINE>
<LINE>
<WORD coords="795,3839,867,3801,3838">en</WORD>
<WORD coords="912,3836,1111,3780,3835">ambos</WORD>
<WORD coords="1173,3838,1460,3784,3835">términos</WORD>
<WORD coords="1521,3858,1695,3782,3835">igual</WORD>
<WORD coords="1752,3839,1996,3801,3837">numero</WORD>
<WORD coords="2046,3837,2117,3782,3836">de</WORD>
<WORD coords="2159,3837,2328,3799,3836">ceros</WORD>
<WORD coords="2361,3847,2377,3827,3847">,</WORD>
<WORD coords="2426,3857,2467,3801,3848">y</WORD>
<WORD coords="2514,3839,2579,3804,3838">se</WORD>
<WORD coords="2631,3859,2863,3785,3838">ejecuta</WORD>
<WORD coords="2909,3841,2964,3786,3840">la</WORD>
<WORD coords="3009,3858,3144,3793,3837">ope-</WORD>
</LINE>
<LINE>
<WORD coords="790,3948,1001,3891,3944">ración</WORD>
<WORD coords="1051,3943,1158,3906,3942">con</WORD>
<WORD coords="1231,3941,1314,3888,3939">los</WORD>
<WORD coords="1354,3963,1707,3890,3943">guarismos</WORD>
<WORD coords="1770,3966,1882,3907,3945">que</WORD>
<WORD coords="1942,3970,2263,3888,3943">quedaren.</WORD>
<WORD coords="2363,3945,2444,3889,3944">V.</WORD>
<WORD coords="2512,3967,2550,3912,3957">g</WORD>
<WORD coords="2625,3948,2930,3891,3945">Divídase</WORD>
<WORD coords="2986,3945,3153,3895,3944">2700</WORD>
</LINE>
<LINE>
<WORD coords="793,4078,905,4017,4055">por</WORD>
<WORD coords="951,4057,1136,4001,4054">2500*</WORD>
<WORD coords="1226,4053,1427,3992,4052">Burro</WORD>
<WORD coords="1485,4053,1521,3998,4054">ó</WORD>
<WORD coords="1582,4057,1762,3997,4054">tacho</WORD>
<WORD coords="1809,4058,1924,4001,4057">dos</WORD>
<WORD coords="1975,4056,2151,4014,4054">ceros</WORD>
<WORD coords="2206,4054,2283,4015,4053">en</WORD>
<WORD coords="2352,4056,2505,3999,4054">cada</WORD>
<WORD coords="2557,4059,2821,3997,4055">termino</WORD>
<WORD coords="2851,4072,2871,4039,4072">,</WORD>
<WORD coords="2906,4076,2948,4016,4075">y</WORD>
<WORD coords="2998,4075,3149,4015,4054">que-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0046.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0047.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0047.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1220,494,1364,398,492">37</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="110,613,234,554,611">dan</WORD>
<WORD coords="278,610,612,551,608">reducidos</WORD>
<WORD coords="665,608,695,552,608">á</WORD>
<WORD coords="755,610,834,551,609">27</WORD>
<WORD coords="890,608,1178,545,605">dividido</WORD>
<WORD coords="1246,627,1256,571,618">\</WORD>
<WORD coords="1286,600,1293,583,604">&lt;</WORD>
<WORD coords="1331,600,1336,596,604">.</WORD>
<WORD coords="1411,611,1489,559,616">25</WORD>
<WORD coords="1514,629,1531,577,612">;</WORD>
<WORD coords="1579,612,1826,553,610">eiecuto</WORD>
<WORD coords="1898,614,1956,557,614">!a</WORD>
<WORD coords="2032,625,2361,556,611">operación</WORD>
<WORD coords="2434,640,2479,569,640">y</WORD>
</LINE>
<LINE>
<WORD coords="112,736,297,672,714">tengo</WORD>
<WORD coords="351,717,405,664,715">el</WORD>
<WORD coords="462,715,736,660,714">cociente</WORD>
<WORD coords="799,716,824,669,716">1</WORD>
<WORD coords="886,738,965,660,719">-|~</WORD>
<WORD coords="1069,732,1086,699,724">,</WORD>
<WORD coords="1120,712,1180,664,712">el</WORD>
<WORD coords="1214,715,1440,659,713">mismo</WORD>
<WORD coords="1472,735,1588,681,715">que</WORD>
<WORD coords="1622,722,1947,654,720">obtendría</WORD>
<WORD coords="1995,721,2129,667,720">sino</WORD>
<WORD coords="2162,725,2224,688,723">se</WORD>
<WORD coords="2259,723,2483,663,720">hubie*</WORD>
</LINE>
<LINE>
<WORD coords="112,823,219,785,821">atn</WORD>
<WORD coords="250,823,520,764,820">borrado</WORD>
<WORD coords="555,821,643,766,820">los</WORD>
<WORD coords="694,823,892,785,821">ceros.</WORD>
<WORD coords="982,825,1060,774,823">25</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="366,928,457,872,927">La</WORD>
<WORD coords="513,930,704,891,928">razón</WORD>
<WORD coords="775,931,852,873,930">de</WORD>
<WORD coords="910,932,1044,887,929">esto</WORD>
<WORD coords="1076,931,1140,895,930">es</WORD>
<WORD coords="1173,944,1190,919,944">,</WORD>
<WORD coords="1229,952,1350,892,931">que</WORD>
<WORD coords="1408,932,1487,895,931">un</WORD>
<WORD coords="1536,933,1792,896,931">numero</WORD>
<WORD coords="1843,936,1918,877,935">de</WORD>
<WORD coords="1971,936,2282,879,934">unidades</WORD>
<WORD coords="2329,934,2476,895,932">con-</WORD>
</LINE>
<LINE>
<WORD coords="115,1055,285,979,1040">dene</WORD>
<WORD coords="338,1035,367,980,1036">á</WORD>
<WORD coords="421,1039,557,992,1034">otro</WORD>
<WORD coords="610,1035,867,979,1034">número</WORD>
<WORD coords="915,1036,994,981,1036">de</WORD>
<WORD coords="1044,1038,1347,982,1035">unidades</WORD>
<WORD coords="1399,1036,1498,982,1035">del</WORD>
<WORD coords="1543,1038,1767,983,1036">mismo</WORD>
<WORD coords="1799,1039,1989,983,1038">orden</WORD>
<WORD coords="2025,1061,2049,1026,1061">f</WORD>
<WORD coords="2081,1042,2167,989,1040">las</WORD>
<WORD coords="2217,1041,2473,983,1039">mismas</WORD>
</LINE>
<LINE>
<WORD coords="112,1161,295,1104,1140">^eces</WORD>
<WORD coords="357,1160,475,1104,1142">qwe</WORD>
<WORD coords="534,1140,584,1084,1140">si</WORD>
<WORD coords="634,1145,720,1087,1142">las</WORD>
<WORD coords="775,1146,1083,1087,1142">unidades</WORD>
<WORD coords="1130,1150,1207,1088,1146">de</WORD>
<WORD coords="1268,1143,1353,1088,1141">dit</WORD>
<WORD coords="1374,1145,1417,1087,1145">h</WORD>
<WORD coords="1443,1141,1486,1111,1141">&gt;s</WORD>
<WORD coords="1536,1144,1647,1089,1143">dos</WORD>
<WORD coords="1698,1146,1987,1108,1144">números</WORD>
<WORD coords="2035,1155,2248,1089,1147">fueran</WORD>
<WORD coords="2283,1145,2357,1089,1145">de</WORD>
<WORD coords="2394,1157,2492,1106,1152">uty,</WORD>
</LINE>
<LINE>
<WORD coords="108,1247,337,1192,1246">nrjihmo</WORD>
<WORD coords="411,1249,606,1193,1248">orden</WORD>
<WORD coords="668,1262,1030,1193,1251">cualquiera</WORD>
<WORD coords="1062,1264,1088,1239,1264">v</WORD>
<WORD coords="1130,1267,1413,1195,1249">superior</WORD>
<WORD coords="1475,1251,1512,1196,1250">ó</WORD>
<WORD coords="1552,1250,1588,1197,1250">i;</WORD>
<WORD coords="1621,1251,1805,1193,1250">ferior</WORD>
<WORD coords="1835,1268,1861,1222,1268">¿</WORD>
<WORD coords="1920,1268,2058,1215,1252">asi,</WORD>
<WORD coords="2117,1254,2315,1208,1251">tantas</WORD>
<WORD coords="2370,1254,2479,1214,1253">ve-</WORD>
</LINE>
<LINE>
<WORD coords="109,1364,211,1318,1355">&lt;;es</WORD>
<WORD coords="266,1356,596,1300,1355">contienen</WORD>
<WORD coords="653,1358,687,1308,1358">8</WORD>
<WORD coords="741,1358,1043,1300,1356">unidades</WORD>
<WORD coords="1105,1375,1450,1299,1355">primitivas</WORD>
<WORD coords="1517,1357,1547,1304,1357">á</WORD>
<WORD coords="1594,1358,1628,1309,1358">2</WORD>
<WORD coords="1684,1360,1987,1303,1358">unidades</WORD>
<WORD coords="2038,1363,2309,1306,1360">también</WORD>
<WORD coords="2354,1376,2483,1305,1359">pri-</WORD>
</LINE>
<LINE>
<WORD coords="103,1472,359,1405,1461">mitivas</WORD>
<WORD coords="394,1477,411,1450,1470">,</WORD>
<WORD coords="482,1461,660,1425,1460">como</WORD>
<WORD coords="715,1461,749,1413,1462">8</WORD>
<WORD coords="798,1467,1061,1406,1462">decenas</WORD>
<WORD coords="1121,1462,1150,1412,1462">á</WORD>
<WORD coords="1200,1467,1236,1414,1466">2</WORD>
<WORD coords="1298,1466,1564,1407,1463">decenas</WORD>
<WORD coords="1592,1473,1608,1452,1473">%</WORD>
<WORD coords="1662,1466,1841,1428,1465">como</WORD>
<WORD coords="1904,1468,1938,1418,1468">8</WORD>
<WORD coords="1990,1469,2277,1425,1467">centenas</WORD>
<WORD coords="2336,1465,2362,1416,1465">á</WORD>
<WORD coords="2434,1473,2478,1416,1473">%</WORD>
</LINE>
<LINE>
<WORD coords="105,1572,393,1526,1569">centenas</WORD>
<WORD coords="425,1586,442,1558,1579">,</WORD>
<WORD coords="494,1571,673,1534,1569">como</WORD>
<WORD coords="726,1570,760,1523,1571">8</WORD>
<WORD coords="817,1572,1103,1514,1570">millones</WORD>
<WORD coords="1156,1572,1189,1517,1572">á</WORD>
<WORD coords="1238,1573,1272,1525,1573">2</WORD>
<WORD coords="1327,1577,1608,1517,1572">millones</WORD>
<WORD coords="1644,1588,1661,1562,1588">,</WORD>
<WORD coords="1710,1590,1860,1537,1573">pues</WORD>
<WORD coords="1911,1593,2176,1520,1574">siempre</WORD>
<WORD coords="2212,1575,2477,1520,1572">resulta&quot;</WORD>
</LINE>
<LINE>
<WORD coords="105,1678,170,1636,1677">ra</WORD>
<WORD coords="209,1674,261,1622,1673">el</WORD>
<WORD coords="319,1677,595,1621,1674">cociente</WORD>
<WORD coords="666,1681,972,1621,1676">abstracto</WORD>
<WORD coords="1024,1684,1082,1630,1681">2.</WORD>
<WORD coords="1177,1681,1395,1622,1678">Ahora</WORD>
<WORD coords="1431,1695,1446,1669,1688">,</WORD>
<WORD coords="1504,1681,1576,1644,1680">en</WORD>
<WORD coords="1640,1683,1695,1625,1681">el</WORD>
<WORD coords="1759,1700,2028,1625,1680">ejemplo</WORD>
<WORD coords="2088,1684,2360,1624,1677">anterior</WORD>
<WORD coords="2421,1678,2485,1619,1678">al</WORD>
</LINE>
<LINE>
<WORD coords="104,1788,319,1722,1781">borrar</WORD>
<WORD coords="379,1783,493,1725,1781">dos</WORD>
<WORD coords="542,1782,715,1744,1780">ceros</WORD>
<WORD coords="775,1782,847,1745,1781">en</WORD>
<WORD coords="917,1786,1081,1731,1786">2F00</WORD>
<WORD coords="1133,1786,1190,1730,1785">lo</WORD>
<WORD coords="1243,1789,1601,1730,1786">reducimos</WORD>
<WORD coords="1673,1787,1700,1735,1787">á</WORD>
<WORD coords="1759,1788,1839,1734,1787">27</WORD>
<WORD coords="1897,1789,2186,1743,1786">centenas</WORD>
<WORD coords="2221,1800,2238,1775,1800">,</WORD>
<WORD coords="2302,1806,2342,1749,1797">y</WORD>
<WORD coords="2422,1789,2480,1730,1788">al</WORD>
</LINE>
<LINE>
<WORD coords="103,1891,414,1828,1887">borrarlos</WORD>
<WORD coords="473,1892,548,1852,1890">en</WORD>
<WORD coords="596,1892,761,1841,1890">2500</WORD>
<WORD coords="811,1888,869,1835,1887">lo</WORD>
<WORD coords="932,1893,1288,1835,1891">reducimos</WORD>
<WORD coords="1348,1892,1373,1842,1892">á</WORD>
<WORD coords="1418,1893,1495,1844,1892">25</WORD>
<WORD coords="1548,1897,1829,1848,1893">centena-</WORD>
<WORD coords="1863,1910,1880,1861,1910">;</WORD>
<WORD coords="1916,1914,2097,1841,1893">luego</WORD>
<WORD coords="2152,1896,2467,1836,1893">dividien-</WORD>
</LINE>
<LINE>
<WORD coords="106,1992,188,1935,1991">do</WORD>
<WORD coords="248,1993,413,1950,1992">estos</WORD>
<WORD coords="471,1994,582,1938,1993">dos</WORD>
<WORD coords="635,2007,965,1958,1993">números,</WORD>
<WORD coords="1019,2017,1209,1960,1995">cuyas</WORD>
<WORD coords="1269,2000,1573,1942,1998">unidades</WORD>
<WORD coords="1641,1999,1753,1963,1999">son</WORD>
<WORD coords="1811,2003,1888,1944,2001">de</WORD>
<WORD coords="1944,2003,2024,1963,2001">un</WORD>
<WORD coords="2079,1997,2305,1943,1996">mismo</WORD>
<WORD coords="2366,1999,2472,1961,1998">or-</WORD>
</LINE>
<LINE>
<WORD coords="108,2098,229,2041,2097">den</WORD>
<WORD coords="291,2115,575,2045,2098">superior</WORD>
<WORD coords="608,2114,624,2088,2109">,</WORD>
<WORD coords="701,2103,995,2054,2101">resultara</WORD>
<WORD coords="1072,2102,1129,2049,2102">el</WORD>
<WORD coords="1180,2108,1405,2047,2105">mismo</WORD>
<WORD coords="1455,2107,1731,2049,2105">cociente</WORD>
<WORD coords="1767,2125,1787,2093,2125">,</WORD>
<WORD coords="1851,2127,1968,2071,2110">que</WORD>
<WORD coords="2034,2105,2087,2047,2105">si</WORD>
<WORD coords="2139,2109,2360,2044,2106">fueran</WORD>
<WORD coords="2407,2108,2487,2048,2106">de</WORD>
</LINE>
<LINE>
<WORD coords="111,2208,306,2151,2205">oidcn</WORD>
<WORD coords="353,2211,632,2149,2206">inferior.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="277,2318,344,2264,2315">2.</WORD>
<WORD coords="370,2293,407,2256,2305">°</WORD>
<WORD coords="516,2314,681,2254,2312">Caso</WORD>
<WORD coords="757,2332,1109,2258,2314">particular.</WORD>
<WORD coords="1208,2322,1451,2259,2319">Cuando</WORD>
<WORD coords="1523,2322,1648,2264,2319">solo</WORD>
<WORD coords="1702,2319,1757,2264,2318">el</WORD>
<WORD coords="1812,2327,2052,2262,2322">divisor</WORD>
<WORD coords="2103,2323,2369,2275,2320">termina</WORD>
<WORD coords="2414,2324,2489,2280,2321">en</WORD>
</LINE>
<LINE>
<WORD coords="111,2443,278,2378,2415">Qercs</WORD>
<WORD coords="311,2429,329,2404,2427">,</WORD>
<WORD coords="384,2418,543,2372,2417">estos</WORD>
<WORD coords="600,2420,666,2381,2419">se</WORD>
<WORD coords="726,2421,778,2365,2420">le</WORD>
<WORD coords="827,2441,1088,2377,2421">separan</WORD>
<WORD coords="1138,2425,1244,2385,2424">con</WORD>
<WORD coords="1294,2426,1378,2388,2426">un</WORD>
<WORD coords="1418,2447,1766,2373,2426">paréntesis</WORD>
<WORD coords="1821,2437,2038,2373,2428">inicial</WORD>
<WORD coords="2066,2445,2082,2419,2445">,</WORD>
<WORD coords="2130,2448,2170,2392,2438">y</WORD>
<WORD coords="2224,2428,2328,2383,2427">tan</WORD>
<WORD coords="2351,2434,2489,2371,2428">bien</WORD>
</LINE>
<LINE>
<WORD coords="111,2524,174,2486,2523">se</WORD>
<WORD coords="219,2547,483,2480,2523">separan</WORD>
<WORD coords="540,2525,611,2469,2525">de</WORD>
<WORD coords="668,2527,723,2471,2526">la</WORD>
<WORD coords="770,2530,1025,2473,2527">derecha</WORD>
<WORD coords="1084,2532,1181,2475,2531">del</WORD>
<WORD coords="1224,2535,1541,2477,2532">dividendo</WORD>
<WORD coords="1599,2537,1805,2490,2535">tantos</WORD>
<WORD coords="1854,2558,2211,2482,2535">guarismos</WORD>
<WORD coords="2246,2545,2264,2523,2542">,</WORD>
<WORD coords="2324,2539,2490,2494,2535">coma</WORD>
</LINE>
<LINE>
<WORD coords="112,2635,279,2597,2632">teros</WORD>
<WORD coords="340,2654,465,2578,2631">hay</WORD>
<WORD coords="523,2635,594,2597,2634">en</WORD>
<WORD coords="653,2635,709,2580,2635">el</WORD>
<WORD coords="754,2637,987,2580,2634">divisor</WORD>
<WORD coords="1030,2639,1051,2603,2638">:</WORD>
<WORD coords="1098,2638,1161,2601,2637">se</WORD>
<WORD coords="1204,2658,1435,2582,2637">ejecuta</WORD>
<WORD coords="1481,2642,1541,2581,2641">la</WORD>
<WORD coords="1589,2642,1851,2586,2640">división</WORD>
<WORD coords="1911,2642,2021,2605,2641">cen</WORD>
<WORD coords="2079,2645,2173,2585,2642">los</WORD>
<WORD coords="2221,2660,2483,2585,2637">guaris»</WORD>
</LINE>
<LINE>
<WORD coords="108,2740,234,2700,2738">tnos</WORD>
<WORD coords="295,2763,407,2703,2739">que</WORD>
<WORD coords="458,2764,692,2685,2740">quedan</WORD>
<WORD coords="742,2742,777,2708,2742">a</WORD>
<WORD coords="840,2766,1160,2688,2742">izquierda</WORD>
<WORD coords="1192,2750,1214,2710,2747">;</WORD>
<WORD coords="1273,2744,1324,2692,2744">si</WORD>
<WORD coords="1385,2765,1506,2690,2745">hay</WORD>
<WORD coords="1548,2747,1712,2701,2745">resta</WORD>
<WORD coords="1747,2773,1923,2690,2748">jpnal</WORD>
<WORD coords="1952,2762,1967,2737,2755">,</WORD>
<WORD coords="2017,2748,2082,2711,2747">se</WORD>
<WORD coords="2125,2768,2411,2690,2744">pondrán</WORD>
<WORD coords="2441,2746,2482,2705,2746">a</WORD>
</LINE>
<LINE>
<WORD coords="106,2845,178,2808,2844">su</WORD>
<WORD coords="224,2846,481,2789,2845">derecha</WORD>
<WORD coords="528,2848,611,2794,2846">los</WORD>
<WORD coords="658,2867,1011,2793,2847">guarismos</WORD>
<WORD coords="1047,2872,1159,2813,2849">que</WORD>
<WORD coords="1187,2850,1250,2814,2849">se</WORD>
<WORD coords="1279,2852,1369,2815,2851">se-</WORD>
<WORD coords="1544,2853,1577,2804,2853">3</WORD>
<WORD coords="1626,2854,1662,2806,2854">2</WORD>
<WORD coords="1713,2878,1738,2812,2867">(</WORD>
<WORD coords="1786,2856,1819,2808,2856">5</WORD>
<WORD coords="1869,2878,2076,2800,2864">6,(9</WORD>
<WORD coords="2123,2877,2147,2809,2865">(</WORD>
</LINE>
<LINE>
<WORD coords="96,2972,378,2905,2950">pararon</WORD>
<WORD coords="439,2953,533,2897,2952">del</WORD>
<WORD coords="613,2954,931,2898,2952">dividendo</WORD>
<WORD coords="968,2971,985,2944,2966">,</WORD>
<WORD coords="1064,2962,1379,2901,2957">colocando</WORD>
<WORD coords="1547,2963,1583,2915,2962">2</WORD>
<WORD coords="1632,2962,1669,2909,2962">7</WORD>
</LINE>
<LINE>
<WORD coords="101,3056,232,3013,3054">esta</WORD>
<WORD coords="262,3058,432,3021,3056">suma</WORD>
<WORD coords="478,3057,552,3021,3057">en</WORD>
<WORD coords="603,3058,659,3005,3058">el</WORD>
<WORD coords="701,3068,964,3005,3060">cociente</WORD>
<WORD coords="992,3081,1033,3023,3081">y</WORD>
<WORD coords="1064,3082,1272,3005,3060">debajo</WORD>
<WORD coords="1305,3064,1378,3006,3063">de</WORD>
</LINE>
<LINE>
<WORD coords="100,3161,212,3106,3161">ela</WORD>
<WORD coords="258,3162,388,3108,3161">todo</WORD>
<WORD coords="435,3162,490,3109,3162">el</WORD>
<WORD coords="516,3168,767,3109,3163">divisor.</WORD>
<WORD coords="822,3169,1022,3109,3168">Véase</WORD>
<WORD coords="1064,3169,1121,3113,3168">el</WORD>
<WORD coords="1165,3191,1355,3113,3168">ejem-</WORD>
<WORD coords="1609,3171,1647,3121,3171">5</WORD>
</LINE>
<LINE>
<WORD coords="96,3290,198,3217,3269">pío</WORD>
<WORD coords="244,3285,523,3217,3271">adjunto,</WORD>
<WORD coords="2195,3282,2234,3228,3281">9</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="346,3380,436,3322,3379">La</WORD>
<WORD coords="486,3382,675,3343,3380">razón</WORD>
<WORD coords="737,3383,814,3325,3382">de</WORD>
<WORD coords="862,3384,995,3338,3383">e3ta</WORD>
<WORD coords="1041,3402,1311,3329,3385">practica</WORD>
<WORD coords="1373,3387,1438,3350,3387">es</WORD>
<WORD coords="1475,3401,1492,3376,3401">,</WORD>
<WORD coords="1542,3405,1662,3350,3387">que</WORD>
<WORD coords="1728,3406,2032,3331,3388">podemos</WORD>
<WORD coords="2093,3405,2480,3331,3389">descoponef</WORD>
</LINE>
<LINE>
<WORD coords="97,3484,152,3427,3482">el</WORD>
<WORD coords="200,3484,544,3427,3482">dividendo</WORD>
<WORD coords="594,3488,753,3436,3487">3256</WORD>
<WORD coords="819,3488,892,3453,3488">en</WORD>
<WORD coords="941,3490,1104,3447,3489">estas</WORD>
<WORD coords="1161,3493,1275,3436,3492">dos</WORD>
<WORD coords="1331,3509,1532,3449,3491">partes</WORD>
<WORD coords="1590,3495,1752,3444,3494">3200</WORD>
<WORD coords="1801,3501,1840,3439,3501">f</WORD>
<WORD coords="1879,3494,1957,3442,3493">56</WORD>
<WORD coords="2014,3515,2057,3459,3505">y</WORD>
<WORD coords="2116,3495,2350,3439,3493">dividir</WORD>
<WORD coords="2378,3499,2478,3459,3498">ca-</WORD>
</LINE>
<LINE>
<WORD coords="96,3597,171,3533,3592">da</WORD>
<WORD coords="224,3592,341,3555,3590">una</WORD>
<WORD coords="398,3607,503,3555,3589">por</WORD>
<WORD coords="565,3592,683,3541,3593">900</WORD>
<WORD coords="715,3576,729,3562,3586">•</WORD>
<WORD coords="760,3616,1134,3540,3595">ejecutando</WORD>
<WORD coords="1195,3602,1251,3543,3600">la</WORD>
<WORD coords="1303,3598,1393,3542,3598">dh</WORD>
<WORD coords="1417,3599,1575,3541,3597">ision</WORD>
<WORD coords="1618,3599,1696,3544,3599">de</WORD>
<WORD coords="1737,3599,1790,3544,3598">la</WORD>
<WORD coords="1848,3615,2115,3544,3600">primera</WORD>
<WORD coords="2164,3617,2336,3558,3599">parte</WORD>
<WORD coords="2371,3618,2481,3564,3602">pol-</WORD>
</LINE>
<LINE>
<WORD coords="94,3696,151,3639,3695">la</WORD>
<WORD coords="215,3698,604,3642,3696">abreviación</WORD>
<WORD coords="656,3702,758,3646,3700">del</WORD>
<WORD coords="815,3722,1048,3651,3702">primer</WORD>
<WORD coords="1096,3706,1242,3667,3704">caso</WORD>
<WORD coords="1299,3722,1627,3647,3702">particular</WORD>
<WORD coords="1663,3716,1677,3694,3711">,</WORD>
<WORD coords="1706,3706,2061,3648,3704">tendremos</WORD>
<WORD coords="2118,3704,2171,3651,3703">el</WORD>
<WORD coords="2231,3708,2476,3652,3705">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="100,3804,151,3757,3803">te</WORD>
<WORD coords="219,3803,250,3755,3805">3</WORD>
<WORD coords="298,3810,333,3761,3810">V</WORD>
<WORD coords="388,3808,675,3751,3804">sobrarán</WORD>
<WORD coords="732,3807,765,3760,3807">5</WORD>
<WORD coords="828,3810,1112,3766,3808">centenas</WORD>
<WORD coords="1149,3811,1163,3776,3810">:</WORD>
<WORD coords="1220,3810,1380,3769,3809">estas</WORD>
<WORD coords="1422,3808,1455,3762,3808">5</WORD>
<WORD coords="1516,3811,1804,3768,3809">centenas</WORD>
<WORD coords="1859,3812,2224,3757,3810">deberemos</WORD>
<WORD coords="2272,3813,2479,3754,3809">reunir</WORD>
</LINE>
<LINE>
<WORD coords="109,3912,220,3868,3909">coa</WORD>
<WORD coords="280,3913,369,3856,3912">las</WORD>
<WORD coords="430,3912,508,3860,3913">56</WORD>
<WORD coords="559,3918,862,3859,3916">unidades</WORD>
<WORD coords="897,3935,913,3905,3926">,</WORD>
<WORD coords="968,3918,1026,3864,3918">lo</WORD>
<WORD coords="1070,3938,1190,3881,3919">que</WORD>
<WORD coords="1258,3918,1366,3881,3916">nos</WORD>
<WORD coords="1427,3918,1507,3861,3917">da</WORD>
<WORD coords="1551,3917,1671,3864,3916">556</WORD>
<WORD coords="1723,3921,2025,3861,3918">unidades</WORD>
<WORD coords="2053,3937,2088,3904,3937">r</WORD>
<WORD coords="2135,3940,2173,3880,3931">y</WORD>
<WORD coords="2237,3917,2470,3857,3915">dividir</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1245,4034,1333,3973,4034">U</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0047.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0048.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0048.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1890,584,2038,488,584">38</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="782,740,922,684,736">•sta</WORD>
<WORD coords="972,736,1154,680,733">suma</WORD>
<WORD coords="1220,742,1336,678,722">por</WORD>
<WORD coords="1392,718,1518,660,717">900</WORD>
<WORD coords="1568,732,1732,670,712">cuyo</WORD>
<WORD coords="1792,712,2068,658,706">cociente</WORD>
<WORD coords="2118,724,2146,642,711">(</WORD>
<WORD coords="2172,700,2252,638,709">6?</WORD>
<WORD coords="2278,718,2306,636,710">)</WORD>
<WORD coords="2348,694,2416,650,693">es</WORD>
<WORD coords="2468,688,2614,624,687">55$.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2478,794,2606,742,792">90O</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1444,934,1680,866,929">USOS</WORD>
<WORD coords="1726,922,1852,860,921">DE</WORD>
<WORD coords="1900,918,2028,856,917">LA</WORD>
<WORD coords="2078,912,2536,840,907">DIVISION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="962,1124,1066,1064,1122">75.</WORD>
<WORD coords="1152,1120,1298,1054,1116">Uso</WORD>
<WORD coords="1356,1114,1482,1048,1106">1°</WORD>
<WORD coords="1596,1120,1948,1042,1099">Averiguar</WORD>
<WORD coords="2004,1094,2078,1034,1093">de</WORD>
<WORD coords="2132,1090,2388,1036,1086">cuantas</WORD>
<WORD coords="2430,1082,2600,1040,1080">veces</WORD>
<WORD coords="2654,1078,2736,1036,1078">un</WORD>
<WORD coords="2782,1078,3032,1026,1073">numero</WORD>
<WORD coords="3054,1070,3166,1006,1070">dá-</WORD>
</LINE>
<LINE>
<WORD coords="798,1236,874,1172,1235">do</WORD>
<WORD coords="920,1230,986,1188,1229">se</WORD>
<WORD coords="1032,1244,1314,1178,1222">compone</WORD>
<WORD coords="1356,1230,1538,1168,1215">otro,</WORD>
<WORD coords="1582,1214,1616,1172,1214">o</WORD>
<WORD coords="1672,1210,1930,1158,1205">cuantas</WORD>
<WORD coords="1980,1202,2152,1156,1197">veces</WORD>
<WORD coords="2208,1194,2292,1154,1193">un</WORD>
<WORD coords="2346,1190,2592,1146,1187">numtro</WORD>
<WORD coords="2642,1184,2710,1144,1183">se</WORD>
<WORD coords="2764,1186,3042,1124,1179">contiene</WORD>
<WORD coords="3088,1176,3184,1128,1174">ett</WORD>
</LINE>
<LINE>
<WORD coords="800,1340,962,1288,1337">Otro.</WORD>
<WORD coords="1048,1332,1130,1272,1332">Se</WORD>
<WORD coords="1186,1328,1532,1262,1325">resolverá,</WORD>
<WORD coords="1570,1318,1940,1250,1312">dividiendo</WORD>
<WORD coords="1986,1306,2044,1248,1305">el</WORD>
<WORD coords="2090,1302,2352,1258,1299">numero</WORD>
<WORD coords="2390,1296,2740,1234,1292">continente</WORD>
<WORD coords="2776,1310,2880,1248,1287">por</WORD>
<WORD coords="2934,1284,2988,1228,1284">el</WORD>
<WORD coords="3020,1284,3166,1242,1281">Con-</WORD>
</LINE>
<LINE>
<WORD coords="812,1446,1032,1380,1441">tenido</WORD>
<WORD coords="1064,1452,1084,1400,1443">;</WORD>
<WORD coords="1134,1434,1196,1396,1434">v.</WORD>
<WORD coords="1250,1452,1312,1394,1444">g.</WORD>
<WORD coords="1402,1450,1426,1392,1450">i</WORD>
<WORD coords="1448,1426,1546,1368,1425">De</WORD>
<WORD coords="1606,1424,1864,1374,1418">cuantos</WORD>
<WORD coords="1912,1414,1954,1358,1413">6</WORD>
<WORD coords="2012,1410,2076,1372,1410">se</WORD>
<WORD coords="2138,1424,2440,1364,1404">compone</WORD>
<WORD coords="2486,1400,2544,1342,1399">el</WORD>
<WORD coords="2596,1398,2726,1338,1400">32?</WORD>
<WORD coords="2816,1394,3054,1334,1390">Divido</WORD>
<WORD coords="3088,1390,3170,1334,1388">38</WORD>
</LINE>
<LINE>
<WORD coords="804,1572,924,1508,1549">por</WORD>
<WORD coords="972,1544,1010,1490,1544">6</WORD>
<WORD coords="1054,1566,1096,1506,1554">y</WORD>
<WORD coords="1152,1542,1214,1482,1542">el</WORD>
<WORD coords="1262,1542,1602,1478,1536">cocientes</WORD>
<WORD coords="1664,1540,1710,1470,1533">+</WORD>
<WORD coords="1752,1526,1792,1476,1525">2</WORD>
<WORD coords="1846,1524,1944,1482,1523">me</WORD>
<WORD coords="2004,1522,2142,1462,1520">dice</WORD>
<WORD coords="2170,1536,2192,1500,1532">,</WORD>
<WORD coords="2244,1532,2366,1472,1514">que</WORD>
<WORD coords="2422,1510,2480,1452,1509">el</WORD>
<WORD coords="2530,1508,2610,1454,1511">32</WORD>
<WORD coords="2644,1506,2712,1464,1506">se</WORD>
<WORD coords="2760,1518,3060,1456,1498">compone</WORD>
<WORD coords="3094,1496,3176,1434,1495">de</WORD>
</LINE>
<LINE>
<WORD coords="1740,1630,1782,1576,1630">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="816,1766,1000,1704,1764">cinco</WORD>
<WORD coords="1056,1760,1256,1698,1758">seises</WORD>
<WORD coords="1312,1768,1362,1700,1760">+</WORD>
<WORD coords="1404,1752,1520,1692,1749">dos</WORD>
<WORD coords="1576,1744,1774,1694,1742">sestas</WORD>
<WORD coords="1832,1756,2036,1690,1736">partes</WORD>
<WORD coords="2086,1734,2164,1674,1733">de</WORD>
<WORD coords="2220,1730,2366,1670,1728">seis.</WORD>
<WORD coords="2456,1724,2554,1664,1723">En</WORD>
<WORD coords="2608,1722,2742,1670,1719">esta</WORD>
<WORD coords="2790,1716,3074,1654,1712">cuestión</WORD>
<WORD coords="3124,1714,3188,1650,1712">el</WORD>
</LINE>
<LINE>
<WORD coords="822,1872,1068,1812,1869">divisor</WORD>
<WORD coords="1116,1866,1188,1826,1865">es</WORD>
<WORD coords="1240,1862,1298,1806,1862">la</WORD>
<WORD coords="1350,1860,1590,1794,1856">unidad</WORD>
<WORD coords="1610,1868,1628,1836,1850">,</WORD>
<WORD coords="1656,1850,1712,1792,1849">el</WORD>
<WORD coords="1744,1848,2088,1784,1843">dividendo</WORD>
<WORD coords="2140,1840,2198,1782,1839">la</WORD>
<WORD coords="2246,1836,2508,1774,1833">reunión</WORD>
<WORD coords="2542,1828,2618,1772,1828">de</WORD>
<WORD coords="2662,1828,2964,1764,1824">unidades</WORD>
<WORD coords="3008,1840,3190,1766,1818">igua»</WORD>
</LINE>
<LINE>
<WORD coords="822,1980,916,1918,1978">les</WORD>
<WORD coords="966,1976,1122,1914,1974">cada</WORD>
<WORD coords="1174,1972,1294,1930,1969">una</WORD>
<WORD coords="1332,1966,1388,1910,1965">al</WORD>
<WORD coords="1440,1964,1682,1902,1959">divisor</WORD>
<WORD coords="1714,1968,1732,1942,1968">,</WORD>
<WORD coords="1788,1974,1826,1916,1972">y</WORD>
<WORD coords="1876,1970,1986,1912,1950">por</WORD>
<WORD coords="2036,1946,2098,1890,1946">lo</WORD>
<WORD coords="2150,1946,2380,1884,1942">mismo</WORD>
<WORD coords="2434,1938,2490,1882,1937">el</WORD>
<WORD coords="2546,1934,2818,1876,1932">cocier.te</WORD>
<WORD coords="2874,1948,3196,1866,1926">quebrado</WORD>
</LINE>
<LINE>
<WORD coords="826,2102,1150,2020,2081">espresará</WORD>
<WORD coords="1200,2094,1404,2026,2072">partes</WORD>
<WORD coords="1452,2070,1534,2010,2069">de</WORD>
<WORD coords="1596,2064,1656,2008,2064">la</WORD>
<WORD coords="1702,2064,1938,1998,2059">unidad</WORD>
<WORD coords="1988,2054,2128,1996,2052">cual</WORD>
<WORD coords="2178,2050,2246,2010,2050">es</WORD>
<WORD coords="2300,2046,2356,1988,2045">el</WORD>
<WORD coords="2412,2044,2668,1984,2040">divisor.</WORD>
<WORD coords="2760,2042,2824,1980,2040">Si</WORD>
<WORD coords="2882,2034,2940,1982,2034">la</WORD>
<WORD coords="3000,2032,3184,1992,2031">cues-</WORD>
</LINE>
<LINE>
<WORD coords="828,2192,962,2132,2190">tión</WORD>
<WORD coords="1016,2188,1196,2126,2185">fuera</WORD>
<WORD coords="1246,2182,1424,2136,2180">esta:</WORD>
<WORD coords="1494,2198,1516,2142,2186">¿</WORD>
<WORD coords="1552,2174,1824,2116,2170">Cuantas</WORD>
<WORD coords="1868,2166,2054,2124,2162">veces</WORD>
<WORD coords="2100,2158,2156,2100,2157">el</WORD>
<WORD coords="2190,2154,2232,2102,2158">6</WORD>
<WORD coords="2276,2154,2346,2116,2154">s*</WORD>
<WORD coords="2384,2152,2668,2090,2147">contiene</WORD>
<WORD coords="2712,2144,2786,2104,2143">en</WORD>
<WORD coords="2822,2142,2898,2090,2148">32</WORD>
<WORD coords="2928,2142,2948,2084,2142">i</WORD>
<WORD coords="3040,2138,3198,2082,2136">Res-</WORD>
</LINE>
<LINE>
<WORD coords="830,2320,1132,2234,2294">pendería</WORD>
<WORD coords="1160,2310,1280,2252,2289">que</WORD>
<WORD coords="1334,2288,1402,2248,2287">se</WORD>
<WORD coords="1458,2286,1742,2224,2280">contiene</WORD>
<WORD coords="1790,2276,1828,2224,2274">5</WORD>
<WORD coords="1874,2272,2056,2230,2270">veces</WORD>
<WORD coords="2086,2268,2330,2204,2262">cabales</WORD>
<WORD coords="2382,2258,2516,2220,2257">mas</WORD>
<WORD coords="2566,2252,2604,2204,2260">2</WORD>
<WORD coords="2662,2252,2902,2208,2248">sesmos</WORD>
<WORD coords="2950,2244,3030,2186,2244">de</WORD>
<WORD coords="3058,2244,3202,2200,2242">vez.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1004,2402,1064,2350,2394">2.</WORD>
<WORD coords="1238,2414,1544,2332,2391">Repartir</WORD>
<WORD coords="1594,2386,1784,2330,2384">cierto</WORD>
<WORD coords="1826,2380,2074,2334,2376">numero</WORD>
<WORD coords="2120,2372,2192,2314,2372">de</WORD>
<WORD coords="2248,2370,2422,2328,2368">cosas</WORD>
<WORD coords="2450,2382,2468,2354,2376">,</WORD>
<WORD coords="2522,2364,2684,2322,2362">cerno</WORD>
<WORD coords="2734,2378,2920,2310,2353">pesos</WORD>
<WORD coords="2948,2366,2964,2338,2368">,</WORD>
<WORD coords="2992,2366,3212,2310,2348">varas,</WORD>
</LINE>
<LINE>
<WORD coords="840,2512,1018,2460,2508">entre</WORD>
<WORD coords="1066,2508,1282,2446,2504">varias</WORD>
<WORD coords="1328,2522,1654,2452,2496">personas.</WORD>
<WORD coords="1738,2490,1822,2432,2489">Se</WORD>
<WORD coords="1870,2486,2142,2420,2482">dividirá</WORD>
<WORD coords="2194,2476,2252,2418,2476">el</WORD>
<WORD coords="2306,2474,2572,2432,2472">numero</WORD>
<WORD coords="2634,2466,2710,2408,2465">de</WORD>
<WORD coords="2756,2464,2932,2422,2460">cosas</WORD>
<WORD coords="2986,2474,3098,2418,2456">por</WORD>
<WORD coords="3152,2456,3214,2398,2455">el</WORD>
</LINE>
<LINE>
<WORD coords="842,2618,1110,2574,2614">numero</WORD>
<WORD coords="1160,2610,1240,2552,2610">de</WORD>
<WORD coords="1302,2628,1592,2562,2604">personas</WORD>
<WORD coords="1616,2618,1636,2584,2618">,</WORD>
<WORD coords="1676,2618,1874,2554,2596">según</WORD>
<WORD coords="1934,2592,2002,2552,2592">se</WORD>
<WORD coords="2054,2612,2306,2526,2586">ejecutó</WORD>
<WORD coords="2348,2582,2424,2544,2581">en</WORD>
<WORD coords="2486,2580,2542,2520,2579">el</WORD>
<WORD coords="2594,2582,2654,2526,2583">2,</WORD>
<WORD coords="2678,2558,2720,2516,2574">©</WORD>
<WORD coords="2786,2596,3060,2512,2568">ejemplo</WORD>
<WORD coords="3114,2564,3222,2502,2564">del</WORD>
</LINE>
<LINE>
<WORD coords="852,2744,1108,2658,2719">párrafo</WORD>
<WORD coords="1162,2740,1332,2656,2720">(66)-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1022,2824,1144,2766,2818">3.0</WORD>
<WORD coords="1258,2820,1516,2756,2817">Dividir</WORD>
<WORD coords="1570,2816,1656,2772,2816">un</WORD>
<WORD coords="1740,2810,1994,2764,2807">numero</WORD>
<WORD coords="2056,2804,2132,2762,2803">en</WORD>
<WORD coords="2208,2822,2424,2748,2795">partes</WORD>
<WORD coords="2480,2812,2720,2730,2787">iguales</WORD>
<WORD coords="2750,2800,2770,2772,2799">,</WORD>
<WORD coords="2822,2786,2854,2744,2786">o</WORD>
<WORD coords="2910,2784,3108,2734,2780">tomar</WORD>
<WORD coords="3156,2778,3228,2720,2777">de</WORD>
</LINE>
<LINE>
<WORD coords="858,2940,948,2894,2936">%in</WORD>
<WORD coords="1000,2934,1250,2886,2929">numero</WORD>
<WORD coords="1304,2924,1430,2886,2924">una</WORD>
<WORD coords="1462,2944,1650,2872,2920">parte</WORD>
<WORD coords="1704,2918,2124,2852,2913">determinada</WORD>
<WORD coords="2156,2924,2172,2894,2915">,</WORD>
<WORD coords="2230,2904,2320,2848,2904">tal</WORD>
<WORD coords="2370,2902,2530,2860,2900">como</WORD>
<WORD coords="2592,2896,2650,2840,2895">la</WORD>
<WORD coords="2702,2892,2898,2832,2890">mitad</WORD>
<WORD coords="2922,2902,2942,2874,2907">,</WORD>
<WORD coords="2988,2886,3046,2830,2886">ia</WORD>
<WORD coords="3106,2882,3230,2836,2881">ter-</WORD>
</LINE>
<LINE>
<WORD coords="858,3052,1012,2988,3043">cia,</WORD>
<WORD coords="1084,3038,1148,2980,3038">ia</WORD>
<WORD coords="1202,3044,1460,2982,3032">cuarta,</WORD>
<WORD coords="1508,3028,1566,2972,3028">la</WORD>
<WORD coords="1618,3044,1968,2966,3021">vigésima,</WORD>
<WORD coords="2014,3018,2140,2956,3016">&amp;c.</WORD>
<WORD coords="2230,3012,2312,2954,3012">Se</WORD>
<WORD coords="2366,3010,2638,2942,3005">dividirá</WORD>
<WORD coords="2684,3000,2736,2944,2999">el</WORD>
<WORD coords="2794,2998,3056,2954,2994">numero</WORD>
<WORD coords="3116,3008,3232,2946,2985">por</WORD>
</LINE>
<LINE>
<WORD coords="866,3168,1054,3088,3148">aquel</WORD>
<WORD coords="1098,3164,1220,3102,3142">que</WORD>
<WORD coords="1274,3138,1390,3098,3137">con</WORD>
<WORD coords="1430,3136,1534,3096,3134">sus</WORD>
<WORD coords="1580,3134,1888,3072,3130">unidades</WORD>
<WORD coords="1934,3124,2144,3066,3122">señala</WORD>
<WORD coords="2204,3118,2292,3062,3118">las</WORD>
<WORD coords="2374,3132,2578,3066,3111">partes</WORD>
<WORD coords="2636,3126,2874,3048,3104">iguales</WORD>
<WORD coords="2906,3114,2928,3084,3117">,</WORD>
<WORD coords="2982,3098,3058,3058,3096">en</WORD>
<WORD coords="3116,3112,3240,3052,3094">que</WORD>
</LINE>
<LINE>
<WORD coords="868,3258,938,3218,3258">se</WORD>
<WORD coords="982,3272,1198,3192,3250">quiere</WORD>
<WORD coords="1246,3256,1562,3184,3243">repartir,</WORD>
<WORD coords="1600,3240,1640,3184,3238">ó</WORD>
<WORD coords="1684,3236,1740,3182,3236">la</WORD>
<WORD coords="1790,3254,1960,3186,3232">parte</WORD>
<WORD coords="2008,3248,2126,3190,3229">que</WORD>
<WORD coords="2168,3226,2236,3188,3225">se</WORD>
<WORD coords="2282,3232,2494,3162,3219">quiere</WORD>
<WORD coords="2552,3226,2796,3174,3212">tomar;</WORD>
<WORD coords="2840,3208,2896,3170,3208">v.</WORD>
<WORD coords="2962,3226,3018,3168,3218">g.</WORD>
<WORD coords="3108,3198,3242,3142,3198">Tó-</WORD>
</LINE>
<LINE>
<WORD coords="874,3364,1048,3320,3360">bese</WORD>
<WORD coords="1108,3356,1166,3298,3355">la</WORD>
<WORD coords="1218,3354,1278,3300,3346">6.</WORD>
<WORD coords="1304,3336,1342,3300,3336">■</WORD>
<WORD coords="1422,3372,1590,3298,3348">parte</WORD>
<WORD coords="1640,3344,1718,3286,3344">de</WORD>
<WORD coords="1774,3352,1890,3290,3341">30;</WORD>
<WORD coords="1948,3336,2222,3276,3334">dividiré</WORD>
<WORD coords="2284,3328,2362,3276,3329">30</WORD>
<WORD coords="2406,3346,2514,3286,3325">por</WORD>
<WORD coords="2558,3322,2598,3270,3327">6</WORD>
<WORD coords="2662,3340,2704,3282,3336">y</WORD>
<WORD coords="2762,3320,2818,3264,3318">el</WORD>
<WORD coords="2878,3312,3150,3254,3309">cociente</WORD>
<WORD coords="3206,3304,3246,3248,3304">S</WORD>
</LINE>
<LINE>
<WORD coords="888,3468,1030,3426,3466">aera</WORD>
<WORD coords="1074,3464,1134,3406,3463">la</WORD>
<WORD coords="1190,3460,1354,3412,3459">sesta</WORD>
<WORD coords="1410,3474,1578,3406,3453">parte</WORD>
<WORD coords="1626,3470,1878,3388,3447">pedida.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1052,3570,1116,3516,3548">4.</WORD>
<WORD coords="1138,3548,1176,3510,3548">o</WORD>
<WORD coords="1286,3564,1470,3504,3562">Dado</WORD>
<WORD coords="1528,3558,1586,3500,3558">el</WORD>
<WORD coords="1654,3556,1828,3496,3553">valor</WORD>
<WORD coords="1882,3548,1952,3492,3548">de</WORD>
<WORD coords="2034,3544,2280,3484,3541">muchas</WORD>
<WORD coords="2332,3544,2664,3476,3535">unidades,</WORD>
<WORD coords="2710,3530,2914,3470,3526">hallar</WORD>
<WORD coords="2970,3522,3028,3464,3521">el</WORD>
<WORD coords="3080,3520,3256,3460,3516">valor</WORD>
</LINE>
<LINE>
<WORD coords="892,3680,966,3620,3678">de</WORD>
<WORD coords="1020,3676,1166,3636,3675">una.</WORD>
<WORD coords="1260,3672,1340,3612,3671">El</WORD>
<WORD coords="1392,3668,1566,3608,3666">valor</WORD>
<WORD coords="1634,3662,1714,3604,3661">de</WORD>
<WORD coords="1768,3658,1858,3600,3658">las</WORD>
<WORD coords="1910,3658,2216,3594,3652">unidades</WORD>
<WORD coords="2274,3646,2340,3610,3646">se</WORD>
<WORD coords="2384,3644,2658,3584,3640">dividirá</WORD>
<WORD coords="2706,3654,2816,3596,3635">por</WORD>
<WORD coords="2886,3632,2944,3572,3631">el</WORD>
<WORD coords="3000,3628,3266,3580,3623">numero</WORD>
</LINE>
<LINE>
<WORD coords="894,3784,978,3726,3783">de</WORD>
<WORD coords="1038,3780,1188,3722,3778">ellas</WORD>
<WORD coords="1226,3790,1246,3762,3790">,</WORD>
<WORD coords="1286,3796,1324,3740,3786">y</WORD>
<WORD coords="1378,3776,1434,3718,3774">el</WORD>
<WORD coords="1478,3772,1754,3712,3769">cociente</WORD>
<WORD coords="1808,3764,1944,3724,3764">sera</WORD>
<WORD coords="2000,3762,2056,3702,3760">el</WORD>
<WORD coords="2114,3758,2286,3698,3755">valor</WORD>
<WORD coords="2328,3754,2406,3698,3753">de</WORD>
<WORD coords="2466,3750,2622,3692,3749">cada</WORD>
<WORD coords="2678,3748,2794,3706,3744">una</WORD>
<WORD coords="2822,3758,2840,3708,3758">;</WORD>
<WORD coords="2892,3738,2942,3702,3738">v.</WORD>
<WORD coords="2982,3758,3038,3700,3750">g.</WORD>
<WORD coords="3092,3732,3128,3682,3745">5</WORD>
<WORD coords="3162,3732,3268,3688,3729">va-</WORD>
</LINE>
<LINE>
<WORD coords="896,3892,1002,3848,3888">ras</WORD>
<WORD coords="1060,3884,1140,3826,3884">de</WORD>
<WORD coords="1196,3900,1358,3826,3882">paño</WORD>
<WORD coords="1400,3880,1684,3832,3876">costaron</WORD>
<WORD coords="1738,3872,1816,3820,3872">80</WORD>
<WORD coords="1860,3886,2040,3830,3867">pesos</WORD>
<WORD coords="2070,3880,2088,3852,3880">,</WORD>
<WORD coords="2132,3888,2152,3848,3888">t</WORD>
<WORD coords="2186,3862,2410,3816,3859">cuanto</WORD>
<WORD coords="2454,3856,2626,3800,3855">costó</WORD>
<WORD coords="2682,3854,2834,3794,3851">cada</WORD>
<WORD coords="2892,3848,3036,3804,3843">vara</WORD>
<WORD coords="3068,3842,3090,3784,3852">?</WORD>
<WORD coords="3152,3840,3270,3782,3839">Di-</WORD>
</LINE>
<LINE>
<WORD coords="900,3996,1112,3934,3991">vidiré</WORD>
<WORD coords="1158,3988,1216,3928,3987">el</WORD>
<WORD coords="1276,3986,1448,3928,3984">valor</WORD>
<WORD coords="1500,3982,1578,3932,3981">80</WORD>
<WORD coords="1644,4000,1756,3940,3980">por</WORD>
<WORD coords="1814,3976,1870,3918,3975">el</WORD>
<WORD coords="1928,3974,2186,3932,3971">numero</WORD>
<WORD coords="2242,3968,2318,3910,3967">de</WORD>
<WORD coords="2368,3966,2674,3904,3961">unidades</WORD>
<WORD coords="2726,3966,2802,3908,3963">5,</WORD>
<WORD coords="2866,3952,2920,3896,3950">el</WORD>
<WORD coords="2986,3948,3272,3894,3945">cociente</WORD>
</LINE>
<LINE>
<WORD coords="910,4102,992,4046,4101">16</WORD>
<WORD coords="1032,4120,1216,4056,4099">pesos</WORD>
<WORD coords="1254,4096,1396,4050,4096">«era</WORD>
<WORD coords="1452,4094,1510,4032,4093">el</WORD>
<WORD coords="1558,4110,1770,4028,4089">precio</WORD>
<WORD coords="1812,4086,1892,4026,4085">de</WORD>
<WORD coords="1942,4086,2066,4040,4083">una</WORD>
<WORD coords="2106,4080,2278,4034,4077">vara.</WORD>
<WORD coords="2362,4094,2640,4010,4070">Ejemplo</WORD>
<WORD coords="2678,4070,2740,4014,4071">2.</WORD>
<WORD coords="2852,4066,2962,4000,4065">Un</WORD>
<WORD coords="3010,4070,3276,3994,4056">caballo.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0048.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0049.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0049.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1218,538,1370,448,537">so</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="104,688,223,626,669">que</WORD>
<WORD coords="268,667,427,603,665">anda</WORD>
<WORD coords="478,667,1000,604,661">uniformemente</WORD>
<WORD coords="1033,674,1049,645,674">,</WORD>
<WORD coords="1083,675,1327,603,661">ftqdubo</WORD>
<WORD coords="1388,658,1461,623,658">en</WORD>
<WORD coords="1504,658,1539,607,659">9</WORD>
<WORD coords="1569,660,1702,601,658">días</WORD>
<WORD coords="1751,660,1825,607,660">72</WORD>
<WORD coords="1887,682,2097,601,658">leguas</WORD>
<WORD coords="2136,673,2153,628,666">;</WORD>
<WORD coords="2185,656,2249,619,656">se</WORD>
<WORD coords="2306,658,2333,612,658">t</WORD>
<WORD coords="2341,641,2360,621,641">r</WORD>
<WORD coords="2370,660,2470,613,659">ata</WORD>
</LINE>
<LINE>
<WORD coords="102,774,180,720,774">de</WORD>
<WORD coords="240,773,418,715,771">saber</WORD>
<WORD coords="471,773,726,725,770">cuantas</WORD>
<WORD coords="789,770,1035,711,768">andubo</WORD>
<WORD coords="1086,766,1160,731,765">en</WORD>
<WORD coords="1208,767,1287,730,766">un</WORD>
<WORD coords="1349,767,1473,709,765">día.</WORD>
<WORD coords="1571,766,1807,709,764">Divido</WORD>
<WORD coords="1879,766,1935,712,766">el</WORD>
<WORD coords="1998,766,2168,706,764">valor</WORD>
<WORD coords="2230,763,2302,711,762">de</WORD>
<WORD coords="2380,765,2471,710,763">lbs</WORD>
</LINE>
<LINE>
<WORD coords="98,881,406,819,877">tmídades</WORD>
<WORD coords="440,886,455,865,886">,</WORD>
<WORD coords="498,895,619,839,877">que</WORD>
<WORD coords="662,876,731,840,875">es</WORD>
<WORD coords="781,877,855,823,876">72</WORD>
<WORD coords="893,892,911,864,892">,</WORD>
<WORD coords="966,894,1075,837,873">por</WORD>
<WORD coords="1116,872,1170,818,872">el</WORD>
<WORD coords="1235,872,1493,835,871">numero</WORD>
<WORD coords="1546,872,1622,816,871">de</WORD>
<WORD coords="1685,872,1830,817,871">ellas</WORD>
<WORD coords="1892,890,2008,838,873">que</WORD>
<WORD coords="2064,874,2128,839,873">es</WORD>
<WORD coords="2174,874,2210,824,874">9</WORD>
<WORD coords="2248,887,2264,865,887">,</WORD>
<WORD coords="2313,894,2351,839,886">y</WORD>
<WORD coords="2403,879,2459,823,876">el</WORD>
</LINE>
<LINE>
<WORD coords="97,987,373,928,982">•ocíente</WORD>
<WORD coords="420,986,466,925,985">8</WORD>
<WORD coords="504,984,846,926,981">determina</WORD>
<WORD coords="900,982,987,929,981">las</WORD>
<WORD coords="1058,1001,1269,925,978">leguas</WORD>
<WORD coords="1342,996,1459,942,977">que</WORD>
<WORD coords="1517,979,1761,921,976">andubo</WORD>
<WORD coords="1806,999,1915,942,977">por</WORD>
<WORD coords="1967,982,2092,923,979">dia.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="347,1088,440,1032,1087">La</WORD>
<WORD coords="488,1089,681,1051,1088">razón</WORD>
<WORD coords="734,1089,812,1033,1088">de</WORD>
<WORD coords="869,1090,998,1046,1088">esta</WORD>
<WORD coords="1043,1105,1311,1031,1085">practica</WORD>
<WORD coords="1368,1085,1431,1050,1084">es</WORD>
<WORD coords="1465,1100,1480,1074,1100">,</WORD>
<WORD coords="1541,1104,1658,1050,1083">que</WORD>
<WORD coords="1698,1084,1756,1029,1083">ei</WORD>
<WORD coords="1812,1084,1987,1030,1083">valor</WORD>
<WORD coords="2038,1088,2186,1036,1087">total</WORD>
<WORD coords="2242,1091,2320,1043,1091">80</WORD>
<WORD coords="2366,1108,2469,1056,1094">pe-</WORD>
</LINE>
<LINE>
<WORD coords="105,1197,211,1157,1195">eos</WORD>
<WORD coords="265,1194,365,1138,1193">del</WORD>
<WORD coords="414,1214,645,1139,1194">primer</WORD>
<WORD coords="697,1217,967,1140,1195">ejemplo</WORD>
<WORD coords="1014,1214,1305,1139,1193">proviene</WORD>
<WORD coords="1352,1193,1427,1138,1193">de</WORD>
<WORD coords="1478,1194,1674,1135,1192">haber</WORD>
<WORD coords="1733,1192,1985,1136,1191">tomado</WORD>
<WORD coords="2041,1197,2236,1149,1194">Untas</WORD>
<WORD coords="2289,1203,2471,1163,1198">vece»</WORD>
</LINE>
<LINE>
<WORD coords="118,1300,173,1246,1300">•1</WORD>
<WORD coords="220,1300,391,1245,1299">valor</WORD>
<WORD coords="447,1302,526,1245,1302">de</WORD>
<WORD coords="582,1302,736,1246,1301">cada</WORD>
<WORD coords="783,1303,926,1265,1302">vara</WORD>
<WORD coords="961,1319,978,1290,1312">,</WORD>
<WORD coords="1031,1306,1281,1258,1301">cuantas</WORD>
<WORD coords="1327,1300,1503,1263,1298">varas</WORD>
<WORD coords="1562,1299,1670,1263,1298">son</WORD>
<WORD coords="1705,1305,1723,1266,1305">;</WORD>
<WORD coords="1765,1316,1913,1261,1299">pero</WORD>
<WORD coords="1974,1302,2086,1265,1301">son</WORD>
<WORD coords="2147,1302,2184,1253,1302">5</WORD>
<WORD coords="2244,1304,2329,1249,1303">las</WORD>
<WORD coords="2365,1316,2470,1271,1305">va.</WORD>
</LINE>
<LINE>
<WORD coords="93,1405,193,1365,1404">ras</WORD>
<WORD coords="233,1420,250,1393,1420">,</WORD>
<WORD coords="274,1429,453,1355,1404">luego</WORD>
<WORD coords="498,1409,582,1357,1408">80</WORD>
<WORD coords="633,1427,812,1372,1408">pesos</WORD>
<WORD coords="868,1427,1159,1354,1406">proviene</WORD>
<WORD coords="1204,1407,1278,1351,1406">de</WORD>
<WORD coords="1328,1421,1701,1351,1405">multiplicar</WORD>
<WORD coords="1761,1406,1797,1359,1407">5</WORD>
<WORD coords="1864,1427,1966,1371,1407">poi</WORD>
<WORD coords="2021,1408,2075,1353,1407">el</WORD>
<WORD coords="2130,1412,2300,1356,1409">valor</WORD>
<WORD coords="2355,1430,2462,1375,1413">pe-</WORD>
</LINE>
<LINE>
<WORD coords="94,1511,250,1453,1509">dido</WORD>
<WORD coords="300,1515,378,1455,1514">de</WORD>
<WORD coords="429,1515,581,1457,1513">cada</WORD>
<WORD coords="630,1514,793,1475,1512">vara.</WORD>
<WORD coords="886,1516,943,1456,1516">Y</WORD>
<WORD coords="993,1514,1172,1476,1513">como</WORD>
<WORD coords="1233,1514,1397,1457,1513">dado</WORD>
<WORD coords="1456,1514,1534,1477,1513">ua</WORD>
<WORD coords="1594,1534,1899,1457,1514">producto</WORD>
<WORD coords="1956,1536,1995,1479,1526">y</WORD>
<WORD coords="2051,1517,2172,1480,1516">uno</WORD>
<WORD coords="2223,1518,2299,1462,1518">de</WORD>
<WORD coords="2353,1530,2462,1485,1520">su»</WORD>
</LINE>
<LINE>
<WORD coords="94,1632,399,1560,1619">lectores,</WORD>
<WORD coords="447,1619,749,1562,1618">hallamos</WORD>
<WORD coords="811,1642,957,1566,1626">(64)</WORD>
<WORD coords="1005,1620,1058,1564,1619">el</WORD>
<WORD coords="1126,1620,1262,1575,1619">otro</WORD>
<WORD coords="1317,1621,1518,1562,1620">factor</WORD>
<WORD coords="1556,1639,1575,1608,1631">,</WORD>
<WORD coords="1639,1623,2011,1564,1620">dividiendo</WORD>
<WORD coords="2056,1623,2112,1568,1622">el</WORD>
<WORD coords="2168,1644,2475,1571,1627">producto</WORD>
</LINE>
<LINE>
<WORD coords="98,1754,211,1688,1726">jor</WORD>
<WORD coords="265,1726,321,1670,1725">el</WORD>
<WORD coords="368,1728,568,1667,1726">factor</WORD>
<WORD coords="615,1728,775,1670,1726">dado</WORD>
<WORD coords="815,1750,845,1711,1750">9</WORD>
<WORD coords="897,1727,962,1691,1726">se</WORD>
<WORD coords="1019,1729,1263,1670,1728">deduce</WORD>
<WORD coords="1315,1728,1390,1671,1728">L.</WORD>
<WORD coords="1451,1743,1515,1671,1736">Q</WORD>
<WORD coords="1597,1729,1678,1671,1729">D.</WORD>
<WORD coords="1732,1729,1814,1672,1727">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="266,1833,325,1782,1833">5.</WORD>
<WORD coords="351,1814,390,1776,1825">°</WORD>
<WORD coords="498,1833,767,1775,1832">Reducir</WORD>
<WORD coords="817,1834,1111,1777,1833">unidades</WORD>
<WORD coords="1173,1858,1501,1777,1835">inferiores</WORD>
<WORD coords="1533,1834,1570,1799,1834">a</WORD>
<WORD coords="1615,1836,1907,1779,1835">unidades</WORD>
<WORD coords="1947,1858,2296,1784,1838">superiores</WORD>
<WORD coords="2321,1862,2339,1832,1855">,</WORD>
<WORD coords="2372,1849,2475,1809,1847">co-</WORD>
</LINE>
<LINE>
<WORD coords="53,1934,69,1903,1934">v</WORD>
<WORD coords="99,1940,206,1897,1938">ano</WORD>
<WORD coords="261,1939,461,1882,1938">reales</WORD>
<WORD coords="506,1939,538,1886,1941">á</WORD>
<WORD coords="599,1954,777,1901,1938">pesos</WORD>
<WORD coords="810,1954,830,1925,1948">,</WORD>
<WORD coords="860,1942,1035,1902,1939">varas</WORD>
<WORD coords="1099,1939,1128,1888,1941">á</WORD>
<WORD coords="1188,1960,1401,1887,1940">leguas</WORD>
<WORD coords="1433,1956,1449,1930,1950">,</WORD>
<WORD coords="1495,1944,1681,1886,1942">libras</WORD>
<WORD coords="1735,1945,1764,1907,1945">a</WORD>
<WORD coords="1826,1945,2076,1888,1943">arrobas</WORD>
<WORD coords="2131,1951,2242,1893,1950">&amp;c.</WORD>
<WORD coords="2299,1958,2471,1902,1956">Ave-</WORD>
</LINE>
<LINE>
<WORD coords="102,2063,350,1989,2043">rigüese</WORD>
<WORD coords="397,2045,476,1987,2044">de</WORD>
<WORD coords="521,2045,774,1999,2044">cuantas</WORD>
<WORD coords="834,2050,1145,1989,2045">.unidades</WORD>
<WORD coords="1195,2049,1524,1988,2046">inferiores</WORD>
<WORD coords="1585,2050,1647,2013,2049">se</WORD>
<WORD coords="1696,2066,1994,2013,2048">compone</WORD>
<WORD coords="2043,2050,2079,1995,2050">ó</WORD>
<WORD coords="2151,2060,2360,2015,2055">consta</WORD>
<WORD coords="2417,2071,2477,2010,2068">la</WORD>
</LINE>
<LINE>
<WORD coords="107,2152,345,2094,2150">unidad</WORD>
<WORD coords="402,2170,686,2094,2149">superior</WORD>
<WORD coords="719,2162,736,2138,2162">,</WORD>
<WORD coords="767,2171,805,2114,2163">y</WORD>
<WORD coords="857,2150,910,2097,2149">el</WORD>
<WORD coords="955,2153,1213,2115,2151">numero</WORD>
<WORD coords="1262,2154,1428,2097,2153">dado</WORD>
<WORD coords="1483,2154,1558,2098,2153">de</WORD>
<WORD coords="1605,2156,1907,2099,2154">unidades</WORD>
<WORD coords="1958,2163,2282,2097,2157">inferiores</WORD>
<WORD coords="2337,2186,2479,2131,2167">par-</WORD>
</LINE>
<LINE>
<WORD coords="102,2257,233,2209,2255">tase</WORD>
<WORD coords="291,2274,400,2217,2255">por</WORD>
<WORD coords="458,2256,512,2200,2255">el</WORD>
<WORD coords="568,2255,828,2219,2254">numero</WORD>
<WORD coords="881,2258,959,2200,2257">de</WORD>
<WORD coords="1008,2258,1188,2220,2257">veces</WORD>
<WORD coords="1236,2274,1352,2224,2258">^ue</WORD>
<WORD coords="1394,2259,1449,2205,2259">la</WORD>
<WORD coords="1495,2261,1726,2204,2259">unidad</WORD>
<WORD coords="1785,2268,1931,2203,2262">infei</WORD>
<WORD coords="1949,2260,2046,2206,2260">ior</WORD>
<WORD coords="2076,2269,2223,2211,2267">cabe</WORD>
<WORD coords="2284,2272,2358,2235,2271">en</WORD>
<WORD coords="2415,2279,2478,2221,2276">la&gt;</WORD>
</LINE>
<LINE>
<WORD coords="99,2376,402,2306,2360">superior.</WORD>
<WORD coords="495,2383,768,2305,2361">Ejemplo</WORD>
<WORD coords="802,2365,815,2327,2366">:</WORD>
<WORD coords="854,2387,875,2329,2377">¡</WORD>
<WORD coords="908,2365,1185,2307,2362">Cuantos</WORD>
<WORD coords="1246,2383,1423,2328,2364">pesos</WORD>
<WORD coords="1475,2378,1816,2329,2364">componen</WORD>
<WORD coords="1850,2367,2011,2318,2366">8004</WORD>
<WORD coords="2061,2376,2254,2319,2372">reales</WORD>
<WORD coords="2289,2379,2311,2323,2379">?</WORD>
<WORD coords="2349,2383,2477,2325,2383">Co-</WORD>
</LINE>
<LINE>
<WORD coords="102,2468,203,2429,2466">mo</WORD>
<WORD coords="244,2466,300,2409,2465">el</WORD>
<WORD coords="361,2484,506,2429,2467">peso</WORD>
<WORD coords="554,2469,766,2423,2468">consta</WORD>
<WORD coords="824,2469,898,2415,2469">de</WORD>
<WORD coords="947,2472,983,2421,2472">8</WORD>
<WORD coords="1039,2472,1232,2423,2469">reales</WORD>
<WORD coords="1263,2485,1278,2460,2479">,</WORD>
<WORD coords="1325,2473,1544,2415,2471">divido</WORD>
<WORD coords="1586,2475,1747,2424,2474">8004</WORD>
<WORD coords="1788,2489,1895,2437,2472">por</WORD>
<WORD coords="1940,2478,1980,2415,2478">8</WORD>
<WORD coords="2013,2489,2029,2443,2484">;</WORD>
<WORD coords="2091,2480,2145,2429,2479">el</WORD>
<WORD coords="2220,2491,2464,2432,2486">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="98,2573,157,2526,2571">te</WORD>
<WORD coords="209,2572,367,2523,2573">1000</WORD>
<WORD coords="413,2575,543,2537,2574">mas</WORD>
<WORD coords="599,2577,637,2530,2578">4</WORD>
<WORD coords="693,2580,965,2519,2576">ochavos</WORD>
<WORD coords="1014,2578,1091,2522,2578">de</WORD>
<WORD coords="1140,2597,1286,2543,2579">peso</WORD>
<WORD coords="1344,2580,1521,2542,2579">serán</WORD>
<WORD coords="1569,2579,1661,2523,2578">los</WORD>
<WORD coords="1720,2598,1898,2543,2578">pesos</WORD>
<WORD coords="1967,2591,2291,2527,2584">buscados.</WORD>
<WORD coords="2388,2599,2472,2539,2598">Se</WORD>
</LINE>
<LINE>
<WORD coords="98,2680,378,2623,2677">advierte</WORD>
<WORD coords="416,2697,436,2668,2697">,</WORD>
<WORD coords="478,2700,595,2645,2682">que</WORD>
<WORD coords="642,2683,694,2626,2682">si</WORD>
<WORD coords="747,2705,868,2625,2684">hay</WORD>
<WORD coords="923,2705,1146,2630,2682">alguna</WORD>
<WORD coords="1194,2687,1357,2639,2685">resta</WORD>
<WORD coords="1392,2701,1409,2673,2694">,</WORD>
<WORD coords="1458,2685,1511,2632,2685">el</WORD>
<WORD coords="1563,2687,1829,2649,2685">numero</WORD>
<WORD coords="1884,2704,2003,2650,2686">que</WORD>
<WORD coords="2051,2692,2174,2647,2689">está</WORD>
<WORD coords="2233,2721,2467,2641,2697">debajo</WORD>
</LINE>
<LINE>
<WORD coords="95,2787,176,2726,2785">de</WORD>
<WORD coords="209,2787,324,2731,2785">ella</WORD>
<WORD coords="370,2803,685,2734,2786">espresará</WORD>
<WORD coords="734,2802,934,2744,2789">partes</WORD>
<WORD coords="980,2793,1058,2735,2792">de</WORD>
<WORD coords="1105,2791,1156,2736,2789">la</WORD>
<WORD coords="1209,2793,1442,2736,2792">unidad</WORD>
<WORD coords="1477,2814,1758,2738,2792">superior</WORD>
<WORD coords="1791,2804,1807,2782,2799">,</WORD>
<WORD coords="1852,2795,1932,2757,2793">no</WORD>
<WORD coords="1967,2793,2043,2738,2793">de</WORD>
<WORD coords="2087,2798,2143,2741,2797">la</WORD>
<WORD coords="2187,2810,2466,2743,2804">inferior^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="347,2893,439,2835,2892">La</WORD>
<WORD coords="508,2895,699,2856,2894">razón</WORD>
<WORD coords="755,2896,832,2838,2895">de</WORD>
<WORD coords="900,2899,1152,2852,2896">nuestra</WORD>
<WORD coords="1208,2915,1476,2844,2898">practica</WORD>
<WORD coords="1534,2900,1598,2863,2899">es</WORD>
<WORD coords="1632,2915,1649,2889,2915">,</WORD>
<WORD coords="1700,2919,1819,2865,2900">que</WORD>
<WORD coords="1900,2919,2199,2845,2901">podemos</WORD>
<WORD coords="2263,2912,2467,2867,2909">tomar</WORD>
</LINE>
<LINE>
<WORD coords="104,2997,141,2945,3000">3</WORD>
<WORD coords="200,3001,391,2941,2997">reales</WORD>
<WORD coords="439,3017,549,2957,2999">por</WORD>
<WORD coords="601,3002,834,2946,3000">unidad</WORD>
<WORD coords="869,3018,887,2989,3018">,</WORD>
<WORD coords="942,3022,981,2966,3022">y</WORD>
<WORD coords="1036,3027,1368,2960,3001">preguntar</WORD>
<WORD coords="1427,3005,1505,2945,3004">de</WORD>
<WORD coords="1561,3006,1814,2960,3004">cuantas</WORD>
<WORD coords="1876,3009,2176,2949,3005">unidades</WORD>
<WORD coords="2206,3028,2222,2999,3028">,</WORD>
<WORD coords="2276,3028,2459,2979,3016">com¡o</WORD>
</LINE>
<LINE>
<WORD coords="106,3106,238,3060,3104">esta</WORD>
<WORD coords="268,3120,284,3093,3116">,</WORD>
<WORD coords="331,3107,395,3069,3106">3e</WORD>
<WORD coords="452,3127,752,3070,3107">compone</WORD>
<WORD coords="812,3109,869,3054,3108">el</WORD>
<WORD coords="909,3111,1166,3072,3109">rumero</WORD>
<WORD coords="1224,3115,1385,3063,3112">8004</WORD>
<WORD coords="1442,3112,1632,3056,3110">reales</WORD>
<WORD coords="1671,3131,1689,3081,3121">;</WORD>
<WORD coords="1786,3112,2065,3056,3110">cuestión</WORD>
<WORD coords="2140,3133,2264,3080,3119">que</WORD>
<WORD coords="2331,3141,2471,3085,3125">per-</WORD>
</LINE>
<LINE>
<WORD coords="106,3212,316,3164,3210">tenece</WORD>
<WORD coords="379,3214,435,3157,3213">al</WORD>
<WORD coords="500,3216,606,3177,3215">uso</WORD>
<WORD coords="668,3232,828,3160,3217">1.°,</WORD>
<WORD coords="885,3241,925,3180,3239">y</WORD>
<WORD coords="1010,3238,1120,3179,3218">por</WORD>
<WORD coords="1194,3238,1638,3160,3217">consiguiente</WORD>
<WORD coords="1736,3225,1892,3160,3219">d^be</WORD>
<WORD coords="1970,3231,2312,3170,3223">resolverse</WORD>
<WORD coords="2372,3237,2479,3175,3234">del</WORD>
</LINE>
<LINE>
<WORD coords="103,3320,331,3261,3319">mismo</WORD>
<WORD coords="400,3326,613,3264,3321">modo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="349,3431,611,3367,3426">Escolio.</WORD>
<WORD coords="704,3432,966,3371,3431">Cuando</WORD>
<WORD coords="1011,3433,1100,3376,3432">las</WORD>
<WORD coords="1146,3435,1448,3377,3433">unidades</WORD>
<WORD coords="1505,3436,1829,3376,3434">inferiores</WORD>
<WORD coords="1875,3437,1985,3398,3436">son</WORD>
<WORD coords="2040,3458,2187,3397,3436">muy</WORD>
<WORD coords="2238,3463,2462,3403,3445">peque-</WORD>
</LINE>
<LINE>
<WORD coords="105,3531,220,3475,3529">ñas</WORD>
<WORD coords="269,3549,288,3519,3545">,</WORD>
<WORD coords="312,3531,377,3495,3531">es</WORD>
<WORD coords="409,3536,601,3477,3534">dificil</WORD>
<WORD coords="643,3538,824,3480,3537">saber</WORD>
<WORD coords="886,3540,1002,3501,3538">con</WORD>
<WORD coords="1059,3560,1416,3485,3540">prontitud,</WORD>
<WORD coords="1463,3541,1596,3486,3539">cual</WORD>
<WORD coords="1629,3544,1691,3507,3543">es</WORD>
<WORD coords="1725,3543,1779,3490,3543">el</WORD>
<WORD coords="1830,3546,2087,3507,3543">numero</WORD>
<WORD coords="2121,3547,2197,3490,3546">de</WORD>
<WORD coords="2252,3552,2470,3495,3550">unida-</WORD>
</LINE>
<LINE>
<WORD coords="105,3639,215,3578,3637">des</WORD>
<WORD coords="275,3641,601,3580,3638">inferiores</WORD>
<WORD coords="647,3645,725,3585,3643">de</WORD>
<WORD coords="783,3662,902,3608,3645">que</WORD>
<WORD coords="941,3647,1151,3603,3645">consta</WORD>
<WORD coords="1200,3648,1255,3593,3647">la</WORD>
<WORD coords="1311,3666,1602,3591,3647">superior</WORD>
<WORD coords="1634,3665,1650,3637,3665">,</WORD>
<WORD coords="1709,3668,1851,3611,3648">para</WORD>
<WORD coords="1895,3650,2078,3593,3648">hacer</WORD>
<WORD coords="2125,3650,2180,3597,3650">la</WORD>
<WORD coords="2239,3658,2463,3599,3654">divisi-</WORD>
</LINE>
<LINE>
<WORD coords="105,3743,204,3704,3742">ón*</WORD>
<WORD coords="300,3745,423,3688,3744">Por</WORD>
<WORD coords="469,3756,686,3700,3746">tanto,</WORD>
<WORD coords="752,3769,897,3713,3751">para</WORD>
<WORD coords="937,3755,1201,3692,3752">facilitar</WORD>
<WORD coords="1261,3755,1315,3699,3754">el</WORD>
<WORD coords="1376,3771,1654,3699,3753">cálculo,</WORD>
<WORD coords="1708,3758,1771,3723,3757">se</WORD>
<WORD coords="1815,3757,2141,3700,3755">reducirán</WORD>
<WORD coords="2192,3760,2278,3703,3758">las</WORD>
<WORD coords="2336,3762,2466,3705,3761">uni-</WORD>
</LINE>
<LINE>
<WORD coords="106,3851,300,3791,3849">dades</WORD>
<WORD coords="357,3857,686,3792,3854">inferiores</WORD>
<WORD coords="732,3860,925,3802,3859">dadas</WORD>
<WORD coords="990,3860,1020,3810,3860">á</WORD>
<WORD coords="1074,3862,1158,3809,3861">las</WORD>
<WORD coords="1218,3864,1765,3806,3862">inmediatamente</WORD>
<WORD coords="1834,3882,2183,3811,3863">superiores</WORD>
<WORD coords="2220,3872,2244,3834,3871">:</WORD>
<WORD coords="2304,3870,2464,3823,3867">estas</WORD>
</LINE>
<LINE>
<WORD coords="103,3950,136,3913,3950">a</WORD>
<WORD coords="191,3957,276,3898,3955">las</WORD>
<WORD coords="333,3979,687,3907,3962">superiores</WORD>
<WORD coords="735,3984,857,3928,3967">que</WORD>
<WORD coords="916,3968,1002,3913,3967">las</WORD>
<WORD coords="1052,3989,1226,3912,3966">sigan</WORD>
<WORD coords="1253,3984,1270,3955,3984">,</WORD>
<WORD coords="1327,3985,1365,3932,3977">y</WORD>
<WORD coords="1419,3969,1505,3912,3968">asi</WORD>
<WORD coords="1567,3969,1640,3934,3969">en</WORD>
<WORD coords="1693,3971,1975,3913,3969">adelante</WORD>
<WORD coords="2047,3973,2218,3911,3970">hasta</WORD>
<WORD coords="2276,3991,2467,3918,3970">llegar</WORD>
</LINE>
<LINE>
<WORD coords="102,4060,137,4016,4068">1</WORD>
<WORD coords="184,4066,274,4005,4064">las</WORD>
<WORD coords="327,4089,446,4028,4070">que</WORD>
<WORD coords="498,4079,855,4012,4075">buscamos*</WORD>
<WORD coords="938,4099,1251,4018,4076">Ejemplo:</WORD>
<WORD coords="1300,4078,1425,4023,4077">544</WORD>
<WORD coords="1477,4080,1723,4021,4079">medios</WORD>
<WORD coords="1768,4082,1966,4023,4080">reales</WORD>
<WORD coords="2015,4100,2232,4022,4078">quiero</WORD>
<WORD coords="2275,4083,2464,4023,4080">xedu-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0049.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0050.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0050.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1836,510,1983,421,509">40</WORD>
<WORD coords="2057,532,2061,527,532">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="720,668,752,624,668">c</WORD>
<WORD coords="757,661,810,605,660">ir</WORD>
<WORD coords="856,664,886,601,658">|</WORD>
<WORD coords="935,653,1122,612,650">onzas</WORD>
<WORD coords="1176,645,1253,590,645">de</WORD>
<WORD coords="1302,644,1432,604,640">oro,</WORD>
<WORD coords="1527,637,1812,578,633">Primero</WORD>
<WORD coords="1858,629,2011,574,628">rtdu</WORD>
<WORD coords="2056,626,2145,568,624">iré</WORD>
<WORD coords="2202,624,2294,567,621">los</WORD>
<WORD coords="2350,621,2589,562,619">medios</WORD>
<WORD coords="2626,616,2651,584,616">a</WORD>
<WORD coords="2700,637,2918,564,621">rea^s,</WORD>
<WORD coords="2961,622,3093,563,621">lúe*</WORD>
</LINE>
<LINE>
<WORD coords="725,789,801,733,779">gp</WORD>
<WORD coords="857,762,947,710,761">los</WORD>
<WORD coords="1009,759,1200,702,756">reales</WORD>
<WORD coords="1264,751,1291,717,751">a</WORD>
<WORD coords="1357,764,1535,708,744">pesos</WORD>
<WORD coords="1568,759,1588,731,759">,</WORD>
<WORD coords="1644,761,1679,706,757">y</WORD>
<WORD coords="1743,754,2009,686,736">después</WORD>
<WORD coords="2067,732,2158,678,730">los</WORD>
<WORD coords="2227,749,2402,693,728">pesos</WORD>
<WORD coords="2457,724,2487,672,731">á</WORD>
<WORD coords="2539,730,2724,684,726">onzas</WORD>
<WORD coords="2766,725,2770,720,732">.</WORD>
<WORD coords="2823,731,3002,674,728">advír</WORD>
<WORD coords="3032,733,3086,675,733">i-</WORD>
</LINE>
<LINE>
<WORD coords="731,875,892,818,872">cndo</WORD>
<WORD coords="940,887,1056,830,865">que</WORD>
<WORD coords="1102,861,1157,808,861">la</WORD>
<WORD coords="1211,859,1367,822,857">onza</WORD>
<WORD coords="1414,853,1546,798,851">vale</WORD>
<WORD coords="1606,851,1682,814,850">en</WORD>
<WORD coords="1729,849,1786,790,848">ti</WORD>
<WORD coords="1839,845,2002,786,844">Perú</WORD>
<WORD coords="2058,848,2126,786,845">1.7</WORD>
<WORD coords="2178,857,2359,799,836">pesos</WORD>
<WORD coords="2416,836,2606,775,834">duros</WORD>
<WORD coords="2636,873,2877,799,835">^segun</WORD>
<WORD coords="2919,841,2982,802,840">se</WORD>
<WORD coords="3020,840,3094,797,839">ve</WORD>
</LINE>
<LINE>
<WORD coords="731,984,803,946,982">en</WORD>
<WORD coords="866,979,917,922,979">el</WORD>
<WORD coords="977,994,1284,915,971">siguiente</WORD>
<WORD coords="1337,983,1682,914,960">prospecto»</WORD>
<WORD coords="3168,976,3190,948,976">4</WORD>
</LINE>
<LINE>
<WORD coords="816,1088,847,1041,1088">5</WORD>
<WORD coords="880,1100,1002,1039,1089">4,4,</WORD>
<WORD coords="1048,1080,1267,1021,1077">medios</WORD>
<WORD coords="1305,1098,1318,1019,1088">\</WORD>
<WORD coords="1393,1074,1430,1024,1074">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="820,1200,922,1138,1198">14</WORD>
<WORD coords="1306,1208,1324,1170,1201">,</WORD>
<WORD coords="1364,1168,1472,1154,1181">™</WORD>
<WORD coords="1524,1168,1558,1154,1168">&quot;</WORD>
<WORD coords="1804,1202,1898,1120,1202">I»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="940,1302,982,1248,1300">4</WORD>
<WORD coords="1356,1300,1498,1236,1290">27,2</WORD>
<WORD coords="1546,1286,1744,1230,1285">reales</WORD>
<WORD coords="1808,1304,1824,1228,1286">|</WORD>
<WORD coords="2098,1282,2262,1248,1282">r—</WORD>
<WORD coords="3168,1298,3188,1274,1298">,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="940,1408,984,1358,1408">O</WORD>
<WORD coords="1404,1394,1436,1346,1394">3</WORD>
<WORD coords="1468,1396,1504,1346,1391">2</WORD>
<WORD coords="1868,1386,1948,1332,1386">34</WORD>
<WORD coords="1996,1406,2172,1346,1382">pesos</WORD>
<WORD coords="2294,1410,2314,1322,1402">[</WORD>
<WORD coords="2502,1366,2512,1350,1367">■</WORD>
<WORD coords="2688,1390,2748,1348,1376">jw</WORD>
<WORD coords="2790,1396,2852,1348,1383">&lt;...,</WORD>
<WORD coords="2942,1376,2954,1342,1373">&apos;.</WORD>
<WORD coords="3020,1376,3106,1344,1376">—r</WORD>
<WORD coords="3182,1386,3214,1366,1386">,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1868,1494,1954,1440,1494">00</WORD>
<WORD coords="2350,1488,2388,1438,1485">2</WORD>
<WORD coords="2434,1482,2622,1446,1481">onzas</WORD>
<WORD coords="2674,1480,2754,1430,1479">de</WORD>
<WORD coords="2800,1474,2810,1450,1478">&lt;</WORD>
<WORD coords="2840,1478,2928,1442,1476">ro.</WORD>
<WORD coords="3200,1504,3222,1468,1504">#</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="916,1628,1016,1570,1624">?6.</WORD>
<WORD coords="1056,1622,1200,1562,1618">Uso</WORD>
<WORD coords="1254,1614,1314,1562,1608">6.</WORD>
<WORD coords="1338,1598,1374,1562,1598">o</WORD>
<WORD coords="1432,1612,1658,1552,1605">Hallar</WORD>
<WORD coords="1710,1604,1878,1546,1602">todos</WORD>
<WORD coords="1932,1600,2018,1542,1599">los</WORD>
<WORD coords="2078,1598,2356,1556,1593">numeres</WORD>
<WORD coords="2392,1600,2408,1578,1600">,</WORD>
<WORD coords="2434,1614,2544,1552,1589">que</WORD>
<WORD coords="2580,1608,2820,1528,1585">piedan</WORD>
<WORD coords="2872,1586,3110,1522,1580">dividir</WORD>
<WORD coords="3206,1608,3224,1558,1608">,</WORD>
</LINE>
<LINE>
<WORD coords="752,1740,1150,1682,1732">esoctwwcnte</WORD>
<WORD coords="1202,1726,1240,1688,1726">a</WORD>
<WORD coords="1286,1722,1416,1676,1720">otre</WORD>
<WORD coords="1464,1718,1708,1678,1714">numero</WORD>
<WORD coords="1766,1712,1938,1654,1711">dado.</WORD>
<WORD coords="2036,1706,2188,1650,1705">Para</WORD>
<WORD coords="2246,1702,2522,1644,1699">resolver</WORD>
<WORD coords="2590,1700,2718,1650,1697">este</WORD>
<WORD coords="2766,1712,3112,1634,1689">pu-bleina,</WORD>
<WORD coords="3218,1702,3226,1694,1702">.</WORD>
</LINE>
<LINE>
<WORD coords="752,1862,1270,1782,1837">antepondremos</WORD>
<WORD coords="1318,1862,1572,1772,1824">algunas</WORD>
<WORD coords="1626,1820,2026,1760,1815">definiciones</WORD>
<WORD coords="2068,1832,2106,1774,1823">y</WORD>
<WORD coords="2156,1810,2652,1746,1804">inervaciones.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1012,1944,1452,1882,1936">Definiciones.</WORD>
<WORD coords="1548,1946,1834,1868,1924">Mu\uplo</WORD>
<WORD coords="1882,1920,1958,1864,1920">de</WORD>
<WORD coords="2014,1918,2096,1880,1916">un</WORD>
<WORD coords="2154,1916,2412,1874,1912">numero</WORD>
<WORD coords="2448,1924,2466,1900,1920">,</WORD>
<WORD coords="2492,1910,2556,1874,1910">es</WORD>
<WORD coords="2608,1908,2664,1852,1907">el</WORD>
<WORD coords="2716,1922,2836,1866,1903">que</WORD>
<WORD coords="2864,1902,2922,1844,1902">le</WORD>
<WORD coords="2970,1900,3114,1858,1898">con-</WORD>
</LINE>
<LINE>
<WORD coords="756,2064,926,2002,2056">dene,</WORD>
<WORD coords="970,2052,1050,2016,2051">un</WORD>
<WORD coords="1108,2050,1370,2006,2046">numero</WORD>
<WORD coords="1424,2038,1670,1990,2035">ecsacto</WORD>
<WORD coords="1710,2034,1804,1966,2033">de&apos;</WORD>
<WORD coords="1846,2040,2062,1988,2025">veces,</WORD>
<WORD coords="2094,2022,2182,1964,2020">asi</WORD>
<WORD coords="2242,2022,2274,1972,2024">8</WORD>
<WORD coords="2330,2018,2396,1982,2017">es</WORD>
<WORD coords="2444,2032,2728,1958,2012">múltiplo</WORD>
<WORD coords="2782,2010,2858,1956,2010">de</WORD>
<WORD coords="2890,2010,2932,1960,2018">4</WORD>
<WORD coords="2962,2020,2978,1996,2023">,</WORD>
<WORD coords="3010,2024,3122,1966,2005">por</WORD>
</LINE>
<LINE>
<WORD coords="760,2182,880,2130,2163">que</WORD>
<WORD coords="942,2162,998,2106,2161">le</WORD>
<WORD coords="1040,2158,1320,2096,2153">contiene</WORD>
<WORD coords="1368,2148,1480,2090,2145">dos</WORD>
<WORD coords="1536,2142,1716,2104,2140">veces</WORD>
<WORD coords="1772,2136,2034,2078,2133">cabales.</WORD>
<WORD coords="2122,2146,2518,2066,2125">Submmtípb</WORD>
<WORD coords="2578,2120,2616,2066,2126">ó</WORD>
<WORD coords="2664,2138,2832,2074,2116">parte</WORD>
<WORD coords="2882,2112,3122,2054,2110">aiícuo-</WORD>
</LINE>
<LINE>
<WORD coords="766,2274,822,2228,2273">ta</WORD>
<WORD coords="888,2268,966,2214,2268">de</WORD>
<WORD coords="1020,2264,1098,2228,2264">un</WORD>
<WORD coords="1148,2260,1404,2218,2256">numero</WORD>
<WORD coords="1440,2266,1458,2240,2258">,</WORD>
<WORD coords="1504,2250,1570,2212,2250">es</WORD>
<WORD coords="1638,2246,1692,2194,2245">el</WORD>
<WORD coords="1744,2262,1862,2206,2242">que</WORD>
<WORD coords="1918,2240,2046,2184,2238">e.ti</WORD>
<WORD coords="2122,2236,2452,2174,2232">contenido</WORD>
<WORD coords="2504,2228,2580,2190,2227">en</WORD>
<WORD coords="2626,2228,2814,2168,2224">dicho</WORD>
<WORD coords="2866,2232,3132,2184,2224">numero</WORD>
</LINE>
<LINE>
<WORD coords="766,2402,1026,2322,2374">algunas</WORD>
<WORD coords="1078,2368,1256,2330,2366">veces</WORD>
<WORD coords="1300,2364,1538,2302,2359">cabales</WORD>
<WORD coords="1572,2366,1586,2322,2359">;</WORD>
<WORD coords="1634,2352,1720,2294,2351">asi</WORD>
<WORD coords="1774,2350,1830,2294,2349">el</WORD>
<WORD coords="1888,2348,1930,2296,2347">4</WORD>
<WORD coords="1992,2344,2056,2308,2343">es</WORD>
<WORD coords="2104,2350,2510,2280,2337">submúltiplo</WORD>
<WORD coords="2566,2332,2664,2276,2332">de!</WORD>
<WORD coords="2710,2330,2746,2282,2338">8</WORD>
<WORD coords="2862,2340,3126,2272,2329">Cuandp</WORD>
</LINE>
<LINE>
<WORD coords="760,2488,844,2450,2486">un</WORD>
<WORD coords="892,2486,1180,2440,2480">numero,</WORD>
<WORD coords="1204,2474,1484,2412,2471">contiene</WORD>
<WORD coords="1532,2466,1566,2408,2464">á</WORD>
<WORD coords="1606,2462,1744,2418,2460">otro</WORD>
<WORD coords="1792,2458,1828,2408,2458">2</WORD>
<WORD coords="1862,2470,1880,2442,2463">,</WORD>
<WORD coords="1936,2452,1968,2402,2454">3</WORD>
<WORD coords="1998,2466,2016,2438,2461">,</WORD>
<WORD coords="2060,2450,2100,2398,2453">4</WORD>
<WORD coords="2128,2464,2144,2436,2460">,</WORD>
<WORD coords="2198,2446,2230,2400,2451">5</WORD>
<WORD coords="2266,2462,2284,2434,2459">,</WORD>
<WORD coords="2338,2444,2410,2392,2447">10</WORD>
<WORD coords="2448,2456,2464,2430,2456">,</WORD>
<WORD coords="2502,2442,2590,2382,2438">&amp;c</WORD>
<WORD coords="2640,2438,2818,2400,2436">vece.</WORD>
<WORD coords="2852,2452,2872,2422,2454">,</WORD>
<WORD coords="2930,2448,3004,2398,2433">se.</WORD>
<WORD coords="3028,2434,3134,2376,2434">di-</WORD>
</LINE>
<LINE>
<WORD coords="772,2596,842,2554,2593">ce</WORD>
<WORD coords="898,2610,1124,2532,2587">duplo.,</WORD>
<WORD coords="1170,2608,1430,2522,2579">triplo:</WORD>
<WORD coords="1440,2588,1816,2508,2570">cuadruplo,</WORD>
<WORD coords="1870,2586,2230,2500,2556">quintuplo,</WORD>
<WORD coords="2288,2568,2530,2492,2548">decuplo</WORD>
<WORD coords="2590,2546,2694,2486,2543">fcfc</WORD>
<WORD coords="2758,2542,2854,2486,2540">del</WORD>
<WORD coords="2922,2542,3136,2494,2540">conté-</WORD>
<WORD coords="3162,2540,3172,2528,0">.</WORD>
</LINE>
<LINE>
<WORD coords="772,2702,924,2642,2698">nido</WORD>
<WORD coords="946,2708,976,2588,2672">&apos;,</WORD>
<WORD coords="1032,2714,1072,2656,2702">y</WORD>
<WORD coords="1114,2690,1240,2648,2688">este</WORD>
<WORD coords="1286,2698,1568,2632,2679">respecto</WORD>
<WORD coords="1628,2674,1728,2618,2672">del</WORD>
<WORD coords="1792,2668,2144,2610,2665">continente</WORD>
<WORD coords="2200,2660,2264,2622,2659">se</WORD>
<WORD coords="2316,2656,2572,2598,2652">nombra</WORD>
<WORD coords="2632,2670,2922,2590,2648">subduplo</WORD>
<WORD coords="2952,2664,2972,2634,2665">,</WORD>
<WORD coords="2996,2652,3136,2588,2648">sub-</WORD>
<WORD coords="3186,2616,3196,2600,2616">&apos;</WORD>
</LINE>
<LINE>
<WORD coords="778,2830,1018,2750,2808">triplo,,</WORD>
<WORD coords="1062,2812,1500,2732,2792">subcuadruplo</WORD>
<WORD coords="1536,2798,1554,2772,2798">,</WORD>
<WORD coords="1606,2802,2034,2716,2776">subquintuplo</WORD>
<WORD coords="2070,2780,2086,2756,2780">,</WORD>
<WORD coords="2114,2790,2468,2706,2770">subdecufih</WORD>
<WORD coords="2510,2764,2646,2700,2766">&amp;£.</WORD>
<WORD coords="2716,2778,2722,2768,2778">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1026,2908,1134,2850,2906">La.</WORD>
<WORD coords="1174,2920,1340,2856,2898">parte</WORD>
<WORD coords="1390,2896,1662,2834,2890">alícuota</WORD>
<WORD coords="1708,2886,1980,2828,2882">también</WORD>
<WORD coords="2018,2878,2082,2840,2878">se</WORD>
<WORD coords="2130,2874,2312,2820,2872">llama</WORD>
<WORD coords="2356,2868,2592,2812,2865">divisor</WORD>
<WORD coords="2632,2882,2670,2826,2882">y</WORD>
<WORD coords="2704,2886,2976,2802,2863">factor;</WORD>
<WORD coords="3030,2856,3140,2798,2855">Ai.</WORD>
</LINE>
<LINE>
<WORD coords="780,3024,956,2968,3020">visor</WORD>
<WORD coords="1046,3032,1160,2974,3011">qor</WORD>
<WORD coords="1236,3026,1356,2968,3006">que</WORD>
<WORD coords="1422,3000,1638,2940,2996">divide</WORD>
<WORD coords="1690,2994,2144,2938,2988">exactamente</WORD>
<WORD coords="2198,2978,2250,2922,2977">al</WORD>
<WORD coords="2298,2976,2556,2936,2972">numero</WORD>
<WORD coords="2602,2988,2758,2932,2968">cuya</WORD>
<WORD coords="2812,2982,2980,2918,2962">pa.te</WORD>
<WORD coords="3048,2970,3144,2922,2957">es;</WORD>
</LINE>
<LINE>
<WORD coords="784,3132,926,3074,3130">fact</WORD>
<WORD coords="926,3136,1034,3006,3124">:-r\</WORD>
<WORD coords="1094,3136,1204,3080,3116">por</WORD>
<WORD coords="1262,3132,1382,3074,3113">que</WORD>
<WORD coords="1430,3108,1488,3050,3107">el</WORD>
<WORD coords="1548,3102,1788,3044,3099">divisor</WORD>
<WORD coords="1842,3116,1880,3060,3108">y</WORD>
<WORD coords="1936,3100,1990,3038,3096">el</WORD>
<WORD coords="2050,3090,2326,3034,3086">cociente</WORD>
<WORD coords="2374,3080,2482,3044,3078">son</WORD>
<WORD coords="2534,3100,2674,3020,3088">(64)</WORD>
<WORD coords="2736,3074,2822,3020,3073">los</WORD>
<WORD coords="2876,3076,3148,3016,3071">factores</WORD>
</LINE>
<LINE>
<WORD coords="786,3238,890,3180,3237">del</WORD>
<WORD coords="946,3232,1310,3168,3226">dividendo.</WORD>
<WORD coords="1396,3218,1594,3160,3213">Parte</WORD>
<WORD coords="1646,3208,1958,3152,3204">alicuanta</WORD>
<WORD coords="2014,3198,2088,3142,3197">de</WORD>
<WORD coords="2162,3198,2240,3158,3195">un</WORD>
<WORD coords="2296,3200,2602,3150,3188">numero,</WORD>
<WORD coords="2652,3186,2716,3146,3184">es</WORD>
<WORD coords="2782,3180,2836,3126,3180">la</WORD>
<WORD coords="2896,3196,3016,3140,3177">que</WORD>
<WORD coords="3070,3174,3148,3138,3174">no</WORD>
</LINE>
<LINE>
<WORD coords="790,3350,858,3308,3346">se</WORD>
<WORD coords="938,3340,1224,3284,3336">contiene</WORD>
<WORD coords="1306,3326,1486,3286,3324">veces</WORD>
<WORD coords="1544,3322,1790,3258,3316">Cabales</WORD>
<WORD coords="1844,3310,1922,3272,3310">en</WORD>
<WORD coords="1976,3308,2034,3250,3306">él</WORD>
<WORD coords="2064,3322,2078,3294,3314">,</WORD>
<WORD coords="2134,3304,2228,3246,3302">asi</WORD>
<WORD coords="2280,3302,2336,3242,3300">el</WORD>
<WORD coords="2398,3296,2432,3244,3301">3</WORD>
<WORD coords="2502,3296,2568,3256,3294">es</WORD>
<WORD coords="2618,3308,2786,3242,3289">patte</WORD>
<WORD coords="2844,3302,3156,3228,3282">alicuanta,</WORD>
</LINE>
<LINE>
<WORD coords="792,3450,892,3392,3448">del</WORD>
<WORD coords="950,3446,1004,3396,3445">8.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1044,3550,1264,3490,3546">Factor</WORD>
<WORD coords="1320,3544,1352,3506,3544">o</WORD>
<WORD coords="1412,3544,1654,3478,3538">divisor</WORD>
<WORD coords="1712,3548,1922,3468,3527">simp&apos;e</WORD>
<WORD coords="1974,3522,2004,3482,3522">o</WORD>
<WORD coords="2050,3520,2292,3474,3515">numero</WORD>
<WORD coords="2344,3528,2542,3466,3509">primo</WORD>
<WORD coords="2590,3506,2654,3468,3505">es</WORD>
<WORD coords="2712,3504,2768,3448,3503">el</WORD>
<WORD coords="2826,3522,2944,3462,3499">que</WORD>
<WORD coords="3012,3514,3152,3454,3488">pro-</WORD>
</LINE>
<LINE>
<WORD coords="800,3664,982,3604,3659">viene</WORD>
<WORD coords="1030,3656,1108,3600,3655">de</WORD>
<WORD coords="1170,3666,1544,3592,3647">multiplicar</WORD>
<WORD coords="1604,3640,1682,3604,3639">un</WORD>
<WORD coords="1740,3638,2000,3594,3633">numero</WORD>
<WORD coords="2062,3644,2168,3588,3622">por</WORD>
<WORD coords="2228,3620,2356,3564,3618">.ola</WORD>
<WORD coords="2440,3616,2492,3562,3616">¡a</WORD>
<WORD coords="2548,3614,2780,3554,3610">unidad</WORD>
<WORD coords="2814,3618,2828,3574,3623">;</WORD>
<WORD coords="2898,3602,2988,3544,3601">asi</WORD>
<WORD coords="3046,3618,3158,3560,3596">s-q</WORD>
</LINE>
<LINE>
<WORD coords="802,3768,952,3708,3765">fact.</WORD>
<WORD coords="982,3764,1076,3724,3761">ves</WORD>
<WORD coords="1126,3778,1378,3702,3758">simples</WORD>
<WORD coords="1430,3772,1650,3698,3755">2,3,</WORD>
<WORD coords="1710,3750,1786,3696,3748">5.</WORD>
<WORD coords="1852,3752,1934,3692,3746">7,</WORD>
<WORD coords="2004,3744,2124,3686,3736">H,</WORD>
<WORD coords="2178,3740,2298,3678,3732">13,</WORD>
<WORD coords="2360,3724,2470,3668,3723">he.</WORD>
<WORD coords="2504,3732,2520,3688,3733">;</WORD>
<WORD coords="2550,3742,2768,3660,3719">factor</WORD>
<WORD coords="2826,3736,3162,3656,3706">compuesto</WORD>
</LINE>
<LINE>
<WORD coords="806,3876,872,3836,3874">es</WORD>
<WORD coords="922,3870,976,3816,3869">el</WORD>
<WORD coords="1038,3884,1154,3830,3864">que</WORD>
<WORD coords="1218,3878,1514,3806,3859">proviene</WORD>
<WORD coords="1566,3852,1642,3798,3852">de</WORD>
<WORD coords="1708,3866,2080,3788,3845">multiplicar</WORD>
<WORD coords="2136,3838,2254,3782,3836">dos</WORD>
<WORD coords="2300,3832,2338,3796,3832">o</WORD>
<WORD coords="2394,3830,2524,3792,3827">mas</WORD>
<WORD coords="2556,3824,2854,3780,3820">números</WORD>
<WORD coords="2896,3832,3170,3770,3811">enües,,</WORD>
<WORD coords="3198,3820,3206,3812,3820">.</WORD>
</LINE>
<LINE>
<WORD coords="812,3986,896,3930,3982">tal</WORD>
<WORD coords="934,3978,996,3942,3976">es</WORD>
<WORD coords="1046,3974,1102,3918,3973">el</WORD>
<WORD coords="1162,3970,1198,3918,3970">6</WORD>
<WORD coords="1234,3976,1244,3958,3976">,</WORD>
<WORD coords="1294,3982,1410,3930,3965">que</WORD>
<WORD coords="1474,3982,1766,3904,3958">proviene</WORD>
<WORD coords="1816,3954,1892,3900,3953">de</WORD>
<WORD coords="1952,3966,2324,3890,3945">multiplicar</WORD>
<WORD coords="2372,3938,2406,3892,3946">2</WORD>
<WORD coords="2466,3956,2574,3896,3932">por</WORD>
<WORD coords="2636,3928,2666,3880,3928">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="986,4086,1084,4030,4083">77.</WORD>
<WORD coords="1174,4080,1372,4018,4076">Obbet</WORD>
<WORD coords="1388,4076,1698,3982,4070">vagones.</WORD>
<WORD coords="1798,4064,1956,4002,4063">Todo</WORD>
<WORD coords="2010,4058,2254,4012,4055">numero</WORD>
<WORD coords="2298,4074,2410,4008,4047">que</WORD>
<WORD coords="2440,4046,2626,3984,4043">a:aba</WORD>
<WORD coords="2670,4038,2742,3998,4037">en</WORD>
<WORD coords="2792,4084,2988,3988,4039">cerero</WORD>
<WORD coords="3020,4064,3174,3982,4024">gwa-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0050.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0051.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0051.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1290,554,1428,460,553">41</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="165,676,351,611,671">fimo</WORD>
<WORD coords="388,688,515,617,667">par</WORD>
<WORD coords="544,682,562,653,682">%</WORD>
<WORD coords="733,672,1013,609,668">dhisifá</WORD>
<WORD coords="1063,690,1179,618,668">por</WORD>
<WORD coords="1236,669,1272,624,671">2</WORD>
<WORD coords="1311,683,1329,638,678">;</WORD>
<WORD coords="1378,670,1433,635,670">v.</WORD>
<WORD coords="1494,693,1535,635,683">g</WORD>
<WORD coords="1584,674,1664,619,673">64</WORD>
<WORD coords="1704,674,1771,635,674">es</WORD>
<WORD coords="1823,677,2116,617,674">divisible</WORD>
<WORD coords="2163,696,2276,637,681">por</WORD>
<WORD coords="2305,692,2363,629,688">2&gt;</WORD>
<WORD coords="2398,695,2547,634,682">por,</WORD>
</LINE>
<LINE>
<WORD coords="159,793,278,737,774">^ur</WORD>
<WORD coords="339,774,393,719,773">el</WORD>
<WORD coords="453,774,493,724,776">4</WORD>
<WORD coords="553,775,617,738,774">es</WORD>
<WORD coords="675,795,995,720,774">guarismo</WORD>
<WORD coords="1048,794,1155,729,774">pa¡r</WORD>
<WORD coords="1186,782,1205,741,780">;</WORD>
<WORD coords="1254,776,1343,726,777">40</WORD>
<WORD coords="1382,780,1448,741,778">es</WORD>
<WORD coords="1496,781,1786,722,778">divisible</WORD>
<WORD coords="1835,799,1942,744,781">por</WORD>
<WORD coords="1975,782,2010,734,782">2</WORD>
<WORD coords="2040,798,2056,771,798">,</WORD>
<WORD coords="2101,803,2333,747,783">porque</WORD>
<WORD coords="2385,786,2519,741,786">ter-</WORD>
</LINE>
<LINE>
<WORD coords="152,884,322,825,880">»¿na</WORD>
<WORD coords="381,880,456,842,880">en</WORD>
<WORD coords="510,888,674,843,880">cero.</WORD>
<WORD coords="769,882,860,826,881">La</WORD>
<WORD coords="918,887,1110,843,883">razón</WORD>
<WORD coords="1145,880,1230,842,880">*es</WORD>
<WORD coords="1261,896,1282,866,896">,</WORD>
<WORD coords="1368,902,1606,841,882">porque</WORD>
<WORD coords="1660,884,1712,829,883">si</WORD>
<WORD coords="1807,887,1864,831,886">ti</WORD>
<WORD coords="1950,892,2208,851,889">numero</WORD>
<WORD coords="2268,897,2540,836,891">termina</WORD>
</LINE>
<LINE>
<WORD coords="150,985,229,947,985">en</WORD>
<WORD coords="273,989,414,946,986">cero</WORD>
<WORD coords="451,998,467,974,994">,</WORD>
<WORD coords="524,991,591,948,988">se</WORD>
<WORD coords="651,1001,1024,931,987">compondrá</WORD>
<WORD coords="1074,988,1152,930,987">de</WORD>
<WORD coords="1211,987,1291,928,985">dt</WORD>
<WORD coords="1309,986,1491,945,985">cenas</WORD>
<WORD coords="1556,992,1787,946,989">esactas</WORD>
<WORD coords="1823,1008,1840,954,1008">;</WORD>
<WORD coords="1892,1014,2039,956,994">pero</WORD>
<WORD coords="2098,998,2247,942,997">cada</WORD>
<WORD coords="2306,997,2541,941,996">decena</WORD>
</LINE>
<LINE>
<WORD coords="153,1093,219,1052,1091">ae</WORD>
<WORD coords="282,1108,482,1037,1092">puede</WORD>
<WORD coords="542,1112,734,1038,1092">partir</WORD>
<WORD coords="790,1111,899,1055,1092">por</WORD>
<WORD coords="959,1094,994,1047,1094">2</WORD>
<WORD coords="1023,1111,1041,1082,1111">,</WORD>
<WORD coords="1088,1114,1199,1051,1093">por</WORD>
<WORD coords="1256,1092,1358,1053,1092">ser</WORD>
<WORD coords="1412,1110,1601,1037,1093">dupla</WORD>
<WORD coords="1662,1096,1737,1039,1095">de</WORD>
<WORD coords="1788,1096,1823,1049,1096">5</WORD>
<WORD coords="1860,1111,1877,1065,1111">;</WORD>
<WORD coords="1921,1121,2107,1044,1099">luego</WORD>
<WORD coords="2163,1104,2215,1049,1104">e!</WORD>
<WORD coords="2249,1105,2531,1062,1102">numera</WORD>
</LINE>
<LINE>
<WORD coords="150,1202,221,1160,1200">se</WORD>
<WORD coords="280,1217,468,1144,1198">podra</WORD>
<WORD coords="516,1219,708,1144,1198">partir</WORD>
<WORD coords="760,1205,1030,1145,1201">también</WORD>
<WORD coords="1083,1220,1197,1160,1200">por</WORD>
<WORD coords="1253,1201,1314,1149,1201">2.</WORD>
<WORD coords="1402,1201,1466,1142,1199">Si</WORD>
<WORD coords="1535,1200,1591,1143,1200">el</WORD>
<WORD coords="1646,1222,1965,1146,1203">guarismo</WORD>
<WORD coords="2023,1207,2099,1150,1206">de</WORD>
<WORD coords="2149,1209,2233,1155,1208">las</WORD>
<WORD coords="2291,1210,2510,1151,1208">unida-</WORD>
</LINE>
<LINE>
<WORD coords="151,1308,266,1250,1307">des</WORD>
<WORD coords="328,1308,394,1273,1308">es</WORD>
<WORD coords="440,1324,545,1269,1308">par</WORD>
<WORD coords="577,1324,596,1295,1318">,</WORD>
<WORD coords="646,1310,711,1273,1309">se</WORD>
<WORD coords="763,1327,954,1253,1309">poára</WORD>
<WORD coords="1012,1311,1249,1250,1309">dividir</WORD>
<WORD coords="1312,1313,1370,1253,1312">el</WORD>
<WORD coords="1443,1315,1705,1272,1313">numero</WORD>
<WORD coords="1747,1321,1854,1271,1316">tn.</WORD>
<WORD coords="1886,1318,2012,1261,1317">&apos;des</WORD>
<WORD coords="2073,1338,2277,1270,1316">partes</WORD>
<WORD coords="2334,1338,2530,1255,1313">igua»</WORD>
</LINE>
<LINE>
<WORD coords="150,1415,241,1356,1414">les</WORD>
<WORD coords="275,1431,293,1401,1431">,</WORD>
<WORD coords="347,1432,498,1373,1414">pues</WORD>
<WORD coords="562,1414,698,1373,1413">esto</WORD>
<WORD coords="754,1435,968,1360,1415">quiere</WORD>
<WORD coords="1014,1416,1190,1359,1415">decir</WORD>
<WORD coords="1246,1434,1377,1377,1415">par.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="322,1524,419,1469,1522">78.</WORD>
<WORD coords="517,1522,618,1465,1521">Un</WORD>
<WORD coords="669,1522,915,1482,1520">numero</WORD>
<WORD coords="970,1527,1034,1483,1526">es</WORD>
<WORD coords="1086,1530,1366,1464,1521">d¡m$ihle</WORD>
<WORD coords="1413,1545,1535,1476,1525">por</WORD>
<WORD coords="1581,1526,1615,1475,1526">3</WORD>
<WORD coords="1650,1541,1667,1515,1537">,</WORD>
<WORD coords="1695,1533,1931,1471,1529">cuando</WORD>
<WORD coords="1990,1531,2060,1471,1530">ta</WORD>
<WORD coords="2117,1528,2287,1488,1527">suma</WORD>
<WORD coords="2340,1527,2411,1471,1526">de</WORD>
<WORD coords="2437,1527,2529,1478,1526">ta»</WORD>
</LINE>
<LINE>
<WORD coords="153,1630,263,1573,1628">dos</WORD>
<WORD coords="314,1628,419,1589,1626">sus</WORD>
<WORD coords="466,1647,827,1571,1626">guarismos</WORD>
<WORD coords="860,1638,876,1614,1634">,</WORD>
<WORD coords="906,1629,1335,1572,1628">considerados</WORD>
<WORD coords="1383,1632,1543,1592,1630">como</WORD>
<WORD coords="1588,1636,1881,1578,1633">unidades</WORD>
<WORD coords="1912,1641,1930,1617,1639">,</WORD>
<WORD coords="1994,1637,2071,1579,1636">da</WORD>
<WORD coords="2121,1632,2152,1584,1632">3</WORD>
<WORD coords="2203,1634,2235,1593,1634">o</WORD>
<WORD coords="2268,1636,2348,1597,1634">un</WORD>
<WORD coords="2374,1639,2527,1577,1635">muir</WORD>
</LINE>
<LINE>
<WORD coords="157,1756,306,1680,1736">tipio</WORD>
<WORD coords="351,1736,421,1679,1735">de</WORD>
<WORD coords="486,1749,576,1684,1741">3;</WORD>
<WORD coords="629,1735,718,1677,1734">asi</WORD>
<WORD coords="777,1736,943,1689,1734">estos</WORD>
<WORD coords="992,1740,1285,1697,1737">números</WORD>
<WORD coords="1337,1738,1410,1686,1737">15</WORD>
<WORD coords="1441,1753,1458,1725,1746">,</WORD>
<WORD coords="1483,1740,1649,1688,1739">1*272</WORD>
<WORD coords="1681,1757,1697,1728,1748">,</WORD>
<WORD coords="1761,1740,1871,1703,1739">son</WORD>
<WORD coords="1923,1743,2244,1683,1740">divisibles</WORD>
<WORD coords="2292,1740,2529,1693,1738">esacta-</WORD>
</LINE>
<LINE>
<WORD coords="155,1849,361,1797,1840">ipente</WORD>
<WORD coords="410,1860,525,1802,1839">por</WORD>
<WORD coords="579,1839,613,1788,1841">3</WORD>
<WORD coords="649,1859,666,1828,1859">y</WORD>
<WORD coords="720,1860,832,1803,1839">por</WORD>
<WORD coords="892,1860,1013,1802,1840">que</WORD>
<WORD coords="1072,1840,1125,1782,1841">ú</WORD>
<WORD coords="1191,1847,1372,1804,1843">sumo</WORD>
<WORD coords="1432,1844,1523,1788,1843">los</WORD>
<WORD coords="1582,1851,1696,1788,1847">dos</WORD>
<WORD coords="1743,1868,2098,1789,1846">guarismos</WORD>
<WORD coords="2156,1846,2182,1796,1846">1</WORD>
<WORD coords="2247,1865,2285,1808,1854">y</WORD>
<WORD coords="2334,1844,2366,1796,1844">5</WORD>
<WORD coords="2417,1846,2522,1786,1845">del</WORD>
</LINE>
<LINE>
<WORD coords="152,1970,386,1890,1947">primer</WORD>
<WORD coords="464,1948,726,1909,1946">numero</WORD>
<WORD coords="756,1962,775,1933,1955">,</WORD>
<WORD coords="827,1949,1056,1889,1946">resulta</WORD>
<WORD coords="1113,1944,1150,1892,1946">6</WORD>
<WORD coords="1219,1967,1337,1911,1948">que</WORD>
<WORD coords="1390,1950,1453,1912,1949">es</WORD>
<WORD coords="1514,1969,1799,1894,1949">múltiplo</WORD>
<WORD coords="1846,1956,1923,1896,1954">de</WORD>
<WORD coords="1979,1952,2013,1902,1952">3</WORD>
<WORD coords="2046,1966,2061,1917,1966">;</WORD>
<WORD coords="2119,1973,2157,1916,1963">y</WORD>
<WORD coords="2215,1954,2524,1895,1952">sumando</WORD>
</LINE>
<LINE>
<WORD coords="148,2054,243,1995,2052">los</WORD>
<WORD coords="291,2072,644,1995,2050">guarismos</WORD>
<WORD coords="698,2051,723,2003,2054">1</WORD>
<WORD coords="762,2068,782,2038,2062">,</WORD>
<WORD coords="816,2050,850,2003,2053">2</WORD>
<WORD coords="881,2066,898,2039,2061">,</WORD>
<WORD coords="927,2051,968,1997,2054">7</WORD>
<WORD coords="1003,2065,1019,2039,2061">,</WORD>
<WORD coords="1050,2052,1085,2003,2054">2</WORD>
<WORD coords="1119,2054,1222,1995,2054">del</WORD>
<WORD coords="1280,2079,1562,2000,2056">segun4o</WORD>
<WORD coords="1615,2063,1878,2017,2059">numero</WORD>
<WORD coords="1909,2073,1928,2045,2067">,</WORD>
<WORD coords="1980,2062,2211,2003,2059">resulta</WORD>
<WORD coords="2270,2061,2346,2009,2060">12</WORD>
<WORD coords="2353,2086,2372,2045,2086">?</WORD>
<WORD coords="2395,2078,2524,2019,2062">que</WORD>
</LINE>
<LINE>
<WORD coords="148,2158,426,2100,2156">también</WORD>
<WORD coords="471,2157,535,2120,2156">es</WORD>
<WORD coords="586,2136,595,2117,2136">:</WORD>
<WORD coords="597,2175,885,2101,2156">muitipio</WORD>
<WORD coords="943,2158,1024,2101,2157">de</WORD>
<WORD coords="1078,2160,1134,2109,2159">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="393,2266,484,2207,2265">La</WORD>
<WORD coords="528,2265,715,2223,2264">razón</WORD>
<WORD coords="771,2266,849,2209,2265">de</WORD>
<WORD coords="901,2267,1031,2221,2266">esto</WORD>
<WORD coords="1087,2288,1203,2229,2268">es,</WORD>
<WORD coords="1262,2287,1497,2229,2269">porque</WORD>
<WORD coords="1559,2271,1611,2215,2270">si</WORD>
<WORD coords="1650,2273,1719,2213,2271">el¡</WORD>
<WORD coords="1757,2274,2016,2225,2272">humero</WORD>
<WORD coords="2083,2275,2156,2223,2274">15</WORD>
<WORD coords="2235,2274,2522,2215,2271">desccm»</WORD>
</LINE>
<LINE>
<WORD coords="146,2392,442,2330,2371">ponemos</WORD>
<WORD coords="501,2370,574,2333,2370">en</WORD>
<WORD coords="632,2387,833,2326,2370">partes</WORD>
<WORD coords="878,2390,998,2331,2373">que</WORD>
<WORD coords="1057,2373,1203,2335,2372">sean</WORD>
<WORD coords="1249,2383,1575,2317,2375">divisibles</WORD>
<WORD coords="1626,2395,1734,2338,2375">por</WORD>
<WORD coords="1768,2376,1801,2326,2376">3</WORD>
<WORD coords="1830,2392,1847,2364,2386">,</WORD>
<WORD coords="1884,2381,2241,2323,2378">tendremos</WORD>
<WORD coords="2300,2379,2373,2330,2378">15</WORD>
<WORD coords="2413,2378,2523,2334,2376">s=S</WORD>
</LINE>
<LINE>
<WORD coords="142,2482,183,2429,2486">9</WORD>
<WORD coords="238,2497,281,2431,2493">+</WORD>
<WORD coords="348,2484,373,2433,2487">1</WORD>
<WORD coords="436,2498,481,2430,2494">+</WORD>
<WORD coords="515,2482,547,2434,2482">5</WORD>
<WORD coords="583,2497,626,2431,2497">S</WORD>
<WORD coords="626,2480,659,2439,2479">52</WORD>
<WORD coords="659,2498,686,2461,2494">*</WORD>
<WORD coords="716,2481,752,2431,2481">9</WORD>
<WORD coords="777,2496,828,2407,2493">4</WORD>
<WORD coords="860,2484,897,2426,2487">$</WORD>
<WORD coords="930,2496,948,2451,2496">i</WORD>
<WORD coords="994,2502,1140,2445,2485">peto</WORD>
<WORD coords="1199,2487,1352,2429,2486">cada</WORD>
<WORD coords="1417,2506,1587,2442,2487">parte</WORD>
<WORD coords="1634,2488,1673,2436,2489">9</WORD>
<WORD coords="1723,2512,1766,2453,2505">y</WORD>
<WORD coords="1823,2499,1860,2438,2495">£</WORD>
<WORD coords="1917,2491,1982,2455,2491">es</WORD>
<WORD coords="2015,2492,2332,2430,2488">&apos;-divisible</WORD>
<WORD coords="2405,2503,2518,2447,2488">por</WORD>
</LINE>
<LINE>
<WORD coords="129,2589,173,2537,2587">.$</WORD>
<WORD coords="207,2602,223,2575,2602">,</WORD>
<WORD coords="259,2607,368,2551,2588">por</WORD>
<WORD coords="421,2588,519,2551,2587">ser</WORD>
<WORD coords="574,2597,893,2534,2588">múltiplos</WORD>
<WORD coords="934,2591,1011,2533,2590">de</WORD>
<WORD coords="1058,2592,1188,2546,2591">este</WORD>
<WORD coords="1216,2611,1244,2549,2611">¡¡</WORD>
<WORD coords="1279,2615,1460,2536,2593">luego</WORD>
<WORD coords="1527,2601,1798,2540,2596">también</WORD>
<WORD coords="1830,2598,1886,2541,2597">el</WORD>
<WORD coords="1928,2602,2085,2540,2599">todo</WORD>
<WORD coords="2139,2598,2211,2546,2596">15</WORD>
<WORD coords="2268,2596,2334,2558,2596">se</WORD>
<WORD coords="2398,2616,2513,2558,2597">po»</WORD>
</LINE>
<LINE>
<WORD coords="136,2698,250,2638,2695">dra</WORD>
<WORD coords="299,2696,547,2638,2694">&apos;dividir</WORD>
<WORD coords="603,2715,715,2656,2695">por</WORD>
<WORD coords="775,2696,833,2646,2695">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="302,2809,400,2753,2807">79.</WORD>
<WORD coords="490,2814,566,2748,2805">Si,</WORD>
<WORD coords="614,2804,669,2749,2804">el</WORD>
<WORD coords="721,2805,933,2750,2804">ultimo</WORD>
<WORD coords="978,2824,1303,2747,2806">guarismo</WORD>
<WORD coords="1359,2810,1431,2750,2809">de</WORD>
<WORD coords="1484,2811,1568,2770,2809">un</WORD>
<WORD coords="1645,2816,1891,2770,2812">numero</WORD>
<WORD coords="1955,2813,2016,2775,2812">es</WORD>
<WORD coords="2060,2812,2108,2754,2812">Ó</WORD>
<WORD coords="2179,2814,2209,2773,2814">o</WORD>
<WORD coords="2263,2812,2294,2759,2812">5</WORD>
<WORD coords="2338,2830,2356,2795,2830">t</WORD>
<WORD coords="2416,2810,2512,2751,2809">di-</WORD>
</LINE>
<LINE>
<WORD coords="132,2913,240,2855,2911">cho</WORD>
<WORD coords="288,2912,533,2874,2911">numero</WORD>
<WORD coords="578,2911,643,2875,2910">se</WORD>
<WORD coords="678,2933,877,2856,2910">podra</WORD>
<WORD coords="930,2912,1163,2855,2910">dividir</WORD>
<WORD coords="1197,2936,1318,2869,2925">fior</WORD>
<WORD coords="1360,2916,1396,2867,2916">5</WORD>
<WORD coords="1428,2925,1446,2901,2924">,</WORD>
<WORD coords="1504,2923,1592,2860,2920">asi</WORD>
<WORD coords="1616,2933,1632,2906,2933">t</WORD>
<WORD coords="1678,2926,1844,2877,2922">estos</WORD>
<WORD coords="1895,2923,2193,2882,2920">números</WORD>
<WORD coords="2245,2932,2364,2867,2921">20,</WORD>
<WORD coords="2424,2921,2503,2867,2918">35</WORD>
</LINE>
<LINE>
<WORD coords="127,3019,239,2980,3017">son</WORD>
<WORD coords="295,3020,621,2962,3018">divisibles</WORD>
<WORD coords="678,3038,787,2980,3018">por</WORD>
<WORD coords="858,3021,916,2969,3021">5.</WORD>
<WORD coords="1006,3020,1100,2962,3020">La</WORD>
<WORD coords="1159,3023,1347,2983,3021">razón</WORD>
<WORD coords="1404,3025,1471,2987,3025">es</WORD>
<WORD coords="1505,3046,1524,3010,3046">f</WORD>
<WORD coords="1584,3045,1694,2988,3026">por</WORD>
<WORD coords="1757,3045,1875,2992,3028">que</WORD>
<WORD coords="1931,3028,1982,2972,3027">si</WORD>
<WORD coords="2044,3039,2496,2970,3023">descompone-</WORD>
</LINE>
<LINE>
<WORD coords="123,3127,260,3087,3125">mos</WORD>
<WORD coords="311,3128,526,3068,3125">ambos</WORD>
<WORD coords="575,3126,873,3089,3125">números</WORD>
<WORD coords="918,3126,992,3089,3125">en</WORD>
<WORD coords="1048,3136,1250,3084,3127">partes</WORD>
<WORD coords="1298,3149,1416,3095,3130">que</WORD>
<WORD coords="1466,3133,1617,3095,3131">sean</WORD>
<WORD coords="1693,3134,1756,3077,3133">di</WORD>
<WORD coords="1769,3132,1823,3076,3131">vi</WORD>
<WORD coords="1836,3145,2019,3066,3137">sífoles</WORD>
<WORD coords="2070,3146,2177,3092,3127">por</WORD>
<WORD coords="2220,3130,2254,3082,3130">5</WORD>
<WORD coords="2286,3142,2302,3117,3135">,</WORD>
<WORD coords="2355,3129,2487,3086,3128">ten*</WORD>
</LINE>
<LINE>
<WORD coords="117,3230,156,3174,3230">d</WORD>
<WORD coords="199,3232,369,3195,3229">erwos</WORD>
<WORD coords="527,3230,631,3192,3234">=</WORD>
<WORD coords="668,3234,742,3184,3233">10</WORD>
<WORD coords="773,3247,815,3185,3241">+</WORD>
<WORD coords="853,3233,928,3184,3233">10</WORD>
<WORD coords="956,3231,1061,3193,3233">=</WORD>
<WORD coords="1091,3237,1125,3188,3236">5</WORD>
<WORD coords="1161,3235,1200,3177,3235">+</WORD>
<WORD coords="1236,3237,1268,3189,3237">5</WORD>
<WORD coords="1302,3254,1346,3189,3246">+</WORD>
<WORD coords="1378,3238,1411,3191,3238">5</WORD>
<WORD coords="1448,3254,1496,3186,3253">+</WORD>
<WORD coords="1521,3252,1581,3192,3247">5;</WORD>
<WORD coords="1613,3258,1650,3202,3248">y</WORD>
<WORD coords="1685,3239,1757,3189,3237">35</WORD>
<WORD coords="1790,3236,1896,3197,3236">=</WORD>
<WORD coords="1934,3241,2005,3192,3240">10</WORD>
<WORD coords="2038,3254,2082,3186,3245">+</WORD>
<WORD coords="2120,3237,2193,3185,3236">10</WORD>
<WORD coords="2219,3248,2510,3181,3239">+10+5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="260,3336,291,3292,3340">5</WORD>
<WORD coords="326,3353,370,3290,3349">+</WORD>
<WORD coords="401,3341,436,3289,3343">5</WORD>
<WORD coords="475,3352,517,3286,3348">+</WORD>
<WORD coords="543,3339,578,3292,3342">5</WORD>
<WORD coords="614,3360,657,3296,3350">+</WORD>
<WORD coords="690,3340,723,3293,3345">5</WORD>
<WORD coords="756,3344,854,3283,3344">t5</WORD>
<WORD coords="888,3335,932,3284,3345">+</WORD>
<WORD coords="958,3353,1075,3286,3349">5+</WORD>
<WORD coords="1103,3360,1162,3298,3355">5;</WORD>
<WORD coords="1191,3367,1340,3306,3346">pero</WORD>
<WORD coords="1378,3349,1526,3292,3346">cada</WORD>
<WORD coords="1563,3350,1680,3310,3347">una</WORD>
<WORD coords="1709,3348,1787,3289,3348">de</WORD>
<WORD coords="1829,3348,1913,3296,3347">las</WORD>
<WORD coords="1941,3366,2149,3301,3346">partes</WORD>
<WORD coords="2207,3344,2284,3288,3343">de</WORD>
<WORD coords="2333,3342,2518,3296,3340">estos,</WORD>
</LINE>
<LINE>
<WORD coords="110,3446,406,3405,3445">números</WORD>
<WORD coords="458,3448,525,3411,3448">es</WORD>
<WORD coords="577,3453,868,3393,3449">divisible</WORD>
<WORD coords="919,3471,1030,3416,3453">por</WORD>
<WORD coords="1082,3453,1117,3400,3453">5</WORD>
<WORD coords="1150,3456,1165,3419,3456">:</WORD>
<WORD coords="1218,3474,1400,3395,3452">luego</WORD>
<WORD coords="1451,3453,1724,3396,3452">también</WORD>
<WORD coords="1785,3454,1842,3397,3453">lo</WORD>
<WORD coords="1887,3455,2064,3415,3452">serán</WORD>
<WORD coords="2127,3451,2217,3396,3450">los</WORD>
<WORD coords="2284,3448,2326,3402,3448">tí</WORD>
<WORD coords="2353,3456,2489,3391,3445">des.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="369,3555,521,3495,3553">Para</WORD>
<WORD coords="574,3559,752,3501,3557">saber</WORD>
<WORD coords="782,3573,799,3548,3566">,</WORD>
<WORD coords="863,3559,914,3504,3559">si</WORD>
<WORD coords="968,3562,1049,3524,3561">un</WORD>
<WORD coords="1094,3565,1361,3519,3559">numero</WORD>
<WORD coords="1418,3559,1484,3521,3558">es</WORD>
<WORD coords="1550,3560,1843,3499,3558">divisible</WORD>
<WORD coords="1894,3579,2005,3522,3560">por</WORD>
<WORD coords="2071,3559,2105,3505,3559">7</WORD>
<WORD coords="2141,3576,2156,3547,3567">,</WORD>
<WORD coords="2214,3554,2273,3500,3554">la</WORD>
<WORD coords="2324,3575,2490,3499,3553">regla</WORD>
</LINE>
<LINE>
<WORD coords="107,3660,175,3619,3659">es</WORD>
<WORD coords="238,3659,367,3622,3659">mas</WORD>
<WORD coords="416,3679,802,3607,3662">complicada</WORD>
<WORD coords="838,3680,854,3655,3680">,</WORD>
<WORD coords="897,3687,940,3630,3686">y</WORD>
<WORD coords="1003,3686,1113,3628,3666">por</WORD>
<WORD coords="1160,3666,1270,3629,3665">eso</WORD>
<WORD coords="1325,3664,1378,3610,3663">la</WORD>
<WORD coords="1436,3667,1780,3609,3663">omitimos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="369,3768,469,3712,3767">Un</WORD>
<WORD coords="522,3772,767,3731,3769">numero</WORD>
<WORD coords="835,3773,899,3736,3772">es</WORD>
<WORD coords="954,3775,1234,3716,3772">divisible</WORD>
<WORD coords="1297,3773,1699,3725,3770">esactamente</WORD>
<WORD coords="1756,3792,1878,3729,3770">por</WORD>
<WORD coords="1940,3774,2007,3722,3773">11</WORD>
<WORD coords="2046,3786,2060,3760,3779">,</WORD>
<WORD coords="2124,3773,2351,3711,3769">cuando</WORD>
<WORD coords="2426,3768,2484,3712,3767">la</WORD>
</LINE>
<LINE>
<WORD coords="111,3895,454,3812,3873">diferencia</WORD>
<WORD coords="503,3876,677,3831,3874">entre</WORD>
<WORD coords="722,3878,781,3823,3876">la</WORD>
<WORD coords="822,3879,996,3842,3878">suma</WORD>
<WORD coords="1049,3880,1120,3825,3879">de</WORD>
<WORD coords="1179,3879,1265,3825,3877">las</WORD>
<WORD coords="1320,3898,1521,3815,3879">cifras</WORD>
<WORD coords="1559,3900,1670,3840,3876">que</WORD>
<WORD coords="1738,3901,1967,3833,3876">ocupan</WORD>
<WORD coords="2030,3897,2217,3822,3876">lugar</WORD>
<WORD coords="2271,3896,2385,3836,3873">par</WORD>
<WORD coords="2442,3891,2481,3836,3883">y,</WORD>
</LINE>
<LINE>
<WORD coords="214,3984,386,3942,3982">*utna</WORD>
<WORD coords="427,3984,502,3926,3982">de</WORD>
<WORD coords="557,3986,647,3926,3986">¿a*</WORD>
<WORD coords="709,3985,821,3946,3984">cu*</WORD>
<WORD coords="869,4009,1103,3942,3987">ocupan</WORD>
<WORD coords="1167,4006,1251,3929,3984">lv¿</WORD>
<WORD coords="1278,3990,1317,3949,3990">a</WORD>
<WORD coords="1327,3974,1336,3950,3974">1</WORD>
<WORD coords="1409,4006,1605,3928,3984">impar</WORD>
<WORD coords="1638,4003,1667,3973,4003">r</WORD>
<WORD coords="1712,3984,1768,3945,3984">es</WORD>
<WORD coords="1820,3987,1954,3948,3986">cero</WORD>
<WORD coords="2009,3989,2039,3952,3989">o</WORD>
<WORD coords="2087,4005,2352,3928,3987">muMflo</WORD>
<WORD coords="2406,3980,2479,3925,3979">de</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0051.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0052.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0052.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="661,715,735,656,714">SI</WORD>
<WORD coords="854,723,1028,650,708">Asi,</WORD>
<WORD coords="1080,706,1241,648,704">5346</WORD>
<WORD coords="1316,703,1382,662,702">es</WORD>
<WORD coords="1447,700,1736,639,697">divisible</WORD>
<WORD coords="1792,715,1908,659,694">por</WORD>
<WORD coords="1973,705,2096,641,699">11,</WORD>
<WORD coords="2178,708,2419,649,689">porque</WORD>
<WORD coords="2464,687,2771,628,685">sumando</WORD>
<WORD coords="2806,685,2900,627,684">Tas</WORD>
<WORD coords="2945,685,3032,623,684">ci-</WORD>
</LINE>
<LINE>
<WORD coords="659,818,793,758,815">fras</WORD>
<WORD coords="836,815,874,763,815">6</WORD>
<WORD coords="922,834,959,778,823">y</WORD>
<WORD coords="1008,812,1039,763,812">3</WORD>
<WORD coords="1083,831,1202,774,811">que</WORD>
<WORD coords="1251,809,1428,762,807">están</WORD>
<WORD coords="1478,806,1554,767,805">en</WORD>
<WORD coords="1612,824,1791,748,801">lugar</WORD>
<WORD coords="1833,818,2035,746,799">impar</WORD>
<WORD coords="2064,815,2082,786,807">,</WORD>
<WORD coords="2135,797,2562,735,793">comenzando</WORD>
<WORD coords="2636,791,2711,736,790">de</WORD>
<WORD coords="2772,793,3040,733,791">derecha</WORD>
</LINE>
<LINE>
<WORD coords="663,926,700,869,926">á</WORD>
<WORD coords="753,940,1084,863,921">izquierda</WORD>
<WORD coords="1117,933,1134,905,924">,</WORD>
<WORD coords="1191,916,1422,859,914">resulta</WORD>
<WORD coords="1484,910,1543,856,909">la</WORD>
<WORD coords="1597,911,1773,872,909">suma</WORD>
<WORD coords="1846,907,1884,855,907">9</WORD>
<WORD coords="1921,918,1939,875,918">;</WORD>
<WORD coords="1992,926,2031,869,916">y</WORD>
<WORD coords="2086,903,2391,845,901">sumando</WORD>
<WORD coords="2450,899,2540,843,898">los</WORD>
<WORD coords="2597,918,2945,839,895">guarismos</WORD>
<WORD coords="2997,896,3042,844,896">4</WORD>
</LINE>
<LINE>
<WORD coords="662,1053,710,989,1053">f</WORD>
<WORD coords="754,1029,790,980,1029">5</WORD>
<WORD coords="852,1047,970,990,1027">que</WORD>
<WORD coords="1027,1025,1198,979,1023">están</WORD>
<WORD coords="1253,1023,1329,984,1022">en</WORD>
<WORD coords="1374,1040,1621,965,1017">lugares</WORD>
<WORD coords="1668,1036,1844,978,1015">pares</WORD>
<WORD coords="1878,1031,1896,1002,1022">,</WORD>
<WORD coords="1926,1014,2046,958,1012">dan</WORD>
<WORD coords="2103,1011,2181,953,1011">de</WORD>
<WORD coords="2238,1013,2415,968,1009">suma</WORD>
<WORD coords="2470,1006,2745,947,1003">también</WORD>
<WORD coords="2805,1001,2850,949,1007">9</WORD>
<WORD coords="2885,1012,2901,989,1012">,</WORD>
<WORD coords="2931,1002,3041,963,1000">cu-</WORD>
</LINE>
<LINE>
<WORD coords="671,1158,752,1095,1135">ya</WORD>
<WORD coords="807,1135,1149,1074,1131">diferencia</WORD>
<WORD coords="1191,1131,1257,1092,1130">es</WORD>
<WORD coords="1319,1128,1380,1078,1128">O.</WORD>
<WORD coords="1474,1125,1569,1067,1124">La</WORD>
<WORD coords="1617,1123,2079,1063,1120">demostración</WORD>
<WORD coords="2144,1116,2222,1079,1115">no</WORD>
<WORD coords="2278,1114,2343,1077,1113">se</WORD>
<WORD coords="2398,1134,2555,1073,1112">pone</WORD>
<WORD coords="2622,1128,2733,1069,1108">por</WORD>
<WORD coords="2796,1108,2894,1068,1107">ser</WORD>
<WORD coords="2941,1109,3050,1068,1108">en*</WORD>
</LINE>
<LINE>
<WORD coords="674,1264,938,1200,1240">gorrosa</WORD>
<WORD coords="971,1240,984,1204,1239">:</WORD>
<WORD coords="1041,1238,1230,1196,1236">véase</WORD>
<WORD coords="1282,1234,1312,1180,1234">á</WORD>
<WORD coords="1373,1253,1617,1174,1230">Vallejo</WORD>
<WORD coords="1668,1229,1744,1173,1228">de</WORD>
<WORD coords="1797,1229,2018,1169,1225">uitima</WORD>
<WORD coords="2068,1228,2349,1165,1223">edición.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="926,1348,1286,1285,1344">Entendido</WORD>
<WORD coords="1323,1341,1456,1293,1339">esto</WORD>
<WORD coords="1486,1355,1502,1326,1346">,</WORD>
<WORD coords="1531,1338,1915,1280,1335">resolvamos</WORD>
<WORD coords="1965,1354,2044,1295,1333">ya</WORD>
<WORD coords="2073,1331,2130,1275,1331">el</WORD>
<WORD coords="2177,1350,2494,1272,1330">problema</WORD>
<WORD coords="2523,1330,2790,1267,1328">anterior</WORD>
<WORD coords="2814,1340,2829,1311,1336">,</WORD>
<WORD coords="2853,1329,3049,1287,1328">enun-</WORD>
</LINE>
<LINE>
<WORD coords="679,1460,972,1397,1456">ciándolo</WORD>
<WORD coords="1031,1453,1108,1415,1452">en</WORD>
<WORD coords="1152,1451,1319,1405,1450">estos</WORD>
<WORD coords="1373,1450,1672,1388,1445">términos</WORD>
<WORD coords="1706,1452,1730,1408,1452">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="843,1562,939,1512,1560">80.</WORD>
<WORD coords="1042,1560,1366,1500,1558">Problema</WORD>
<WORD coords="1394,1558,1411,1521,1555">:</WORD>
<WORD coords="1505,1553,1733,1493,1552">Hattar</WORD>
<WORD coords="1777,1551,1864,1492,1549">los</WORD>
<WORD coords="1912,1571,2197,1489,1551">factores</WORD>
<WORD coords="2249,1568,2493,1487,1545">simples</WORD>
<WORD coords="2548,1563,2592,1504,1563">y</WORD>
<WORD coords="2668,1563,3048,1491,1541">compuesto*</WORD>
</LINE>
<LINE>
<WORD coords="676,1674,752,1613,1673">de</WORD>
<WORD coords="808,1671,892,1630,1670">un</WORD>
<WORD coords="933,1671,1180,1627,1668">numero</WORD>
<WORD coords="1229,1666,1403,1606,1665">dado.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="930,1776,1316,1715,1772">Resolución.</WORD>
<WORD coords="1415,1770,1722,1709,1769">Divídase</WORD>
<WORD coords="1769,1766,1826,1710,1766">el</WORD>
<WORD coords="1883,1767,2143,1724,1764">numero</WORD>
<WORD coords="2200,1781,2313,1722,1761">por</WORD>
<WORD coords="2371,1762,2416,1711,1754">2*</WORD>
<WORD coords="2464,1759,2643,1701,1757">todas</WORD>
<WORD coords="2687,1759,2779,1700,1757">las</WORD>
<WORD coords="2852,1756,3032,1714,1755">vecee</WORD>
</LINE>
<LINE>
<WORD coords="685,1905,810,1844,1885">que</WORD>
<WORD coords="864,1884,931,1845,1883">se</WORD>
<WORD coords="989,1900,1189,1823,1881">pueda</WORD>
<WORD coords="1213,1893,1229,1866,1886">,</WORD>
<WORD coords="1257,1879,1548,1820,1877">teniendo</WORD>
<WORD coords="1581,1895,1898,1828,1873">presentes</WORD>
<WORD coords="1953,1872,2040,1817,1871">las</WORD>
<WORD coords="2072,1869,2543,1810,1866">observaciones</WORD>
<WORD coords="2571,1890,2683,1811,1890">(J7</WORD>
<WORD coords="2712,1880,2829,1806,1863">&amp;c)</WORD>
<WORD coords="2869,1878,2890,1828,1875">;</WORD>
<WORD coords="2921,1863,3061,1806,1862">des-</WORD>
</LINE>
<LINE>
<WORD coords="686,2015,842,1953,1993">pués</WORD>
<WORD coords="910,2010,1021,1951,1989">por</WORD>
<WORD coords="1070,1987,1105,1937,1987">3</WORD>
<WORD coords="1151,1988,1405,1940,1986">cuantas</WORD>
<WORD coords="1460,1985,1641,1946,1983">veces</WORD>
<WORD coords="1690,1981,1755,1944,1981">se</WORD>
<WORD coords="1819,1999,2022,1922,1978">pueda</WORD>
<WORD coords="2062,1997,2086,1947,1996">¿</WORD>
<WORD coords="2140,1995,2324,1922,1974">luego</WORD>
<WORD coords="2385,1992,2495,1933,1971">por</WORD>
<WORD coords="2547,1970,2580,1923,1974">5</WORD>
<WORD coords="2608,1987,2625,1958,1987">,</WORD>
<WORD coords="2653,1991,2918,1917,1972">después</WORD>
<WORD coords="2954,1992,3066,1930,1972">poT</WORD>
</LINE>
<LINE>
<WORD coords="689,2101,730,2046,2101">7</WORD>
<WORD coords="775,2101,864,2041,2100">he</WORD>
<WORD coords="898,2119,939,2061,2108">y</WORD>
<WORD coords="993,2098,1057,2059,2097">se</WORD>
<WORD coords="1088,2096,1349,2036,2093">tendrán</WORD>
<WORD coords="1393,2091,1485,2036,2090">los</WORD>
<WORD coords="1520,2091,1785,2033,2089">factores</WORD>
<WORD coords="1814,2109,2046,2032,2084">primos</WORD>
<WORD coords="2092,2083,2128,2049,2083">o</WORD>
<WORD coords="2159,2102,2427,2024,2079">simples.</WORD>
<WORD coords="2473,2078,2623,2023,2077">Para</WORD>
<WORD coords="2676,2078,2926,2021,2076">obtener</WORD>
<WORD coords="2976,2080,3069,2023,2078">los</WORD>
</LINE>
<LINE>
<WORD coords="689,2210,965,2148,2207">factores</WORD>
<WORD coords="1003,2224,1373,2153,2202">compuestos</WORD>
<WORD coords="1399,2199,1470,2141,2198">de</WORD>
<WORD coords="1518,2197,1635,2140,2196">do&amp;</WORD>
<WORD coords="1667,2216,1914,2138,2194">simples</WORD>
<WORD coords="1947,2207,1966,2181,2200">,</WORD>
<WORD coords="1995,2192,2061,2155,2192">se</WORD>
<WORD coords="2101,2207,2513,2130,2187">multiplicará</WORD>
<WORD coords="2553,2186,2607,2128,2183">el</WORD>
<WORD coords="2663,2202,2893,2128,2183">primer</WORD>
<WORD coords="2931,2184,3060,2121,2183">fac-</WORD>
</LINE>
<LINE>
<WORD coords="691,2317,793,2269,2316">tor</WORD>
<WORD coords="841,2333,1064,2257,2315">simple</WORD>
<WORD coords="1123,2331,1235,2272,2311">por</WORD>
<WORD coords="1276,2310,1460,2252,2308">todos</WORD>
<WORD coords="1516,2307,1611,2249,2306">los</WORD>
<WORD coords="1675,2325,1793,2266,2305">que</WORD>
<WORD coords="1842,2305,1897,2248,2304">le</WORD>
<WORD coords="1929,2322,2149,2246,2300">siguen</WORD>
<WORD coords="2180,2316,2196,2264,2315">;</WORD>
<WORD coords="2235,2314,2502,2241,2295">después</WORD>
<WORD coords="2550,2292,2609,2235,2291">el</WORD>
<WORD coords="2644,2309,2925,2231,2288">segundo</WORD>
<WORD coords="2959,2308,3072,2246,2287">por</WORD>
</LINE>
<LINE>
<WORD coords="691,2425,880,2365,2423">todos</WORD>
<WORD coords="923,2422,1014,2364,2420">los</WORD>
<WORD coords="1047,2443,1388,2362,2418">siguientes</WORD>
<WORD coords="1419,2433,1437,2403,2424">,</WORD>
<WORD coords="1482,2415,1537,2358,2413">el</WORD>
<WORD coords="1578,2413,1819,2367,2411">tercero</WORD>
<WORD coords="1869,2429,1977,2371,2407">por</WORD>
<WORD coords="2021,2407,2203,2351,2405">todos</WORD>
<WORD coords="2254,2403,2346,2347,2403">tos</WORD>
<WORD coords="2393,2422,2515,2363,2400">que</WORD>
<WORD coords="2563,2418,2780,2342,2398">siguen</WORD>
<WORD coords="2810,2416,2825,2387,2412">,</WORD>
<WORD coords="2857,2401,2946,2342,2398">&amp;c</WORD>
<WORD coords="2983,2412,3001,2386,2412">,</WORD>
<WORD coords="3028,2418,3077,2357,2418">y</WORD>
</LINE>
<LINE>
<WORD coords="694,2529,793,2470,2529">las</WORD>
<WORD coords="848,2548,1185,2469,2526">productos</WORD>
<WORD coords="1236,2524,1415,2484,2523">serán</WORD>
<WORD coords="1473,2523,1563,2465,2522">los</WORD>
<WORD coords="1597,2525,1867,2459,2519">factores</WORD>
<WORD coords="1912,2532,2313,2464,2511">compuestos</WORD>
<WORD coords="2344,2511,2421,2454,2510">de</WORD>
<WORD coords="2468,2508,2583,2451,2507">dos</WORD>
<WORD coords="2604,2524,2906,2450,2505">/simples.</WORD>
<WORD coords="2961,2505,3074,2445,2504">Pa-</WORD>
</LINE>
<LINE>
<WORD coords="700,2639,771,2595,2638">ra</WORD>
<WORD coords="826,2635,1061,2577,2634">formar</WORD>
<WORD coords="1123,2633,1214,2578,2632">los</WORD>
<WORD coords="1258,2632,1527,2572,2629">factores</WORD>
<WORD coords="1574,2648,1946,2577,2625">compuestos</WORD>
<WORD coords="2004,2622,2254,2564,2617">de&apos;tres</WORD>
<WORD coords="2298,2637,2544,2560,2614">simples</WORD>
<WORD coords="2575,2630,2591,2601,2630">,</WORD>
<WORD coords="2645,2631,3072,2555,2612">multipliqúe-</WORD>
</LINE>
<LINE>
<WORD coords="707,2745,774,2705,2743">se</WORD>
<WORD coords="820,2742,877,2686,2741">el</WORD>
<WORD coords="923,2760,1153,2684,2739">primer</WORD>
<WORD coords="1203,2757,1425,2681,2737">simple</WORD>
<WORD coords="1470,2753,1578,2697,2736">por</WORD>
<WORD coords="1636,2735,1692,2679,2734">el</WORD>
<WORD coords="1748,2754,2053,2675,2730">producto</WORD>
<WORD coords="2112,2728,2190,2670,2727">de</WORD>
<WORD coords="2248,2725,2338,2669,2724">los</WORD>
<WORD coords="2380,2723,2491,2668,2722">dos</WORD>
<WORD coords="2539,2739,2659,2683,2719">que</WORD>
<WORD coords="2719,2740,2937,2663,2718">siguen</WORD>
<WORD coords="2967,2735,2993,2684,2732">;</WORD>
<WORD coords="3022,2719,3082,2660,2718">el</WORD>
</LINE>
<LINE>
<WORD coords="708,2872,997,2793,2849">segundo</WORD>
<WORD coords="1048,2867,1160,2808,2847">por</WORD>
<WORD coords="1204,2847,1259,2788,2846">el</WORD>
<WORD coords="1314,2862,1617,2786,2843">producto</WORD>
<WORD coords="1677,2841,1754,2784,2841">de</WORD>
<WORD coords="1816,2840,1908,2783,2839">los</WORD>
<WORD coords="1959,2843,2128,2792,2837">otros</WORD>
<WORD coords="2170,2835,2284,2778,2834">dos</WORD>
<WORD coords="2342,2851,2688,2774,2828">siguientes</WORD>
<WORD coords="2725,2843,2742,2815,2843">,</WORD>
<WORD coords="2798,2846,2835,2790,2841">y</WORD>
<WORD coords="2883,2826,2971,2772,2825">asi</WORD>
<WORD coords="3000,2829,3081,2785,2827">en</WORD>
</LINE>
<LINE>
<WORD coords="717,2959,1019,2900,2955">adelante.</WORD>
<WORD coords="1072,2954,1210,2895,2953">Los</WORD>
<WORD coords="1259,2951,1530,2891,2949">factores</WORD>
<WORD coords="1579,2966,1951,2897,2944">compuestos</WORD>
<WORD coords="1996,2943,2067,2887,2942">de</WORD>
<WORD coords="2121,2941,2334,2893,2939">cuatro</WORD>
<WORD coords="2388,2955,2632,2878,2934">simples</WORD>
<WORD coords="2688,2935,2752,2897,2934">se</WORD>
<WORD coords="2808,2950,3082,2873,2930">forman,</WORD>
</LINE>
<LINE>
<WORD coords="713,3081,1189,3003,3061">multiplicando</WORD>
<WORD coords="1234,3060,1293,2999,3058">el</WORD>
<WORD coords="1335,3076,1568,3000,3055">primer</WORD>
<WORD coords="1599,3072,1820,2997,3052">simple</WORD>
<WORD coords="1857,3070,1978,3010,3050">por</WORD>
<WORD coords="2011,3050,2068,2996,3050">el</WORD>
<WORD coords="2117,3068,2420,2990,3045">producto</WORD>
<WORD coords="2476,3043,2552,2987,3042">de</WORD>
<WORD coords="2609,3042,2699,2985,3040">los</WORD>
<WORD coords="2758,3041,2880,2996,3039">tres</WORD>
<WORD coords="2934,3038,3086,2980,3037">sim-</WORD>
</LINE>
<LINE>
<WORD coords="716,3195,852,3117,3172">ples</WORD>
<WORD coords="878,3194,1216,3116,3170">siguientes</WORD>
<WORD coords="1251,3182,1268,3157,3182">,</WORD>
<WORD coords="1298,3186,1567,3112,3168">después</WORD>
<WORD coords="1607,3166,1663,3111,3166">el</WORD>
<WORD coords="1710,3185,1989,3107,3163">segundo</WORD>
<WORD coords="2026,3177,2246,3102,3159">simple</WORD>
<WORD coords="2300,3175,2412,3117,3155">per</WORD>
<WORD coords="2452,3154,2507,3099,3154">el</WORD>
<WORD coords="2541,3171,2841,3093,3148">producto</WORD>
<WORD coords="2887,3144,2967,3087,3144">de</WORD>
<WORD coords="2997,3142,3095,3087,3141">loar</WORD>
</LINE>
<LINE>
<WORD coords="718,3283,851,3233,3280">tres</WORD>
<WORD coords="901,3299,1242,3221,3277">siguientes</WORD>
<WORD coords="1300,3280,1410,3218,3279">he.</WORD>
<WORD coords="1437,3292,1456,3262,3292">&gt;</WORD>
<WORD coords="1495,3295,1538,3236,3285">y</WORD>
<WORD coords="1586,3275,1676,3215,3273">asi</WORD>
<WORD coords="1714,3272,2250,3213,3267">succesivamente</WORD>
<WORD coords="2310,3263,2485,3207,3261">hasta</WORD>
<WORD coords="2549,3261,2739,3202,3256">haber</WORD>
<WORD coords="2788,3268,3091,3194,3250">multipli-</WORD>
</LINE>
<LINE>
<WORD coords="719,3388,880,3328,3386">cado</WORD>
<WORD coords="924,3385,1108,3328,3383">todos</WORD>
<WORD coords="1154,3383,1247,3327,3382">los</WORD>
<WORD coords="1299,3382,1571,3323,3380">factores</WORD>
<WORD coords="1616,3397,1871,3321,3377">simples</WORD>
<WORD coords="1935,3373,2106,3329,3372">entre</WORD>
<WORD coords="2158,3387,2248,3316,3370">si,</WORD>
<WORD coords="2292,3390,2449,3332,3369">cuyo</WORD>
<WORD coords="2513,3367,2733,3309,3363">ultimo</WORD>
<WORD coords="2778,3380,3099,3302,3356">.producto</WORD>
</LINE>
<LINE>
<WORD coords="720,3511,995,3434,3492">siempre</WORD>
<WORD coords="1038,3490,1174,3450,3488">sera</WORD>
<WORD coords="1216,3509,1387,3431,3488">igual</WORD>
<WORD coords="1428,3487,1489,3432,3486">al</WORD>
<WORD coords="1534,3487,1800,3446,3485">numero</WORD>
<WORD coords="1858,3500,2226,3433,3478">propuesto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="978,3596,1057,3538,3596">Se</WORD>
<WORD coords="1126,3595,1295,3537,3594">hade</WORD>
<WORD coords="1367,3593,1647,3533,3591">advertir</WORD>
<WORD coords="1676,3608,1698,3578,3608">,</WORD>
<WORD coords="1751,3608,1869,3552,3589">que</WORD>
<WORD coords="1935,3587,2178,3526,3584">cuando</WORD>
<WORD coords="2238,3583,2304,3544,3582">se</WORD>
<WORD coords="2372,3598,2608,3522,3578">repiten</WORD>
<WORD coords="2680,3576,2774,3518,3575">les</WORD>
<WORD coords="2838,3574,3109,3514,3572">factores</WORD>
</LINE>
<LINE>
<WORD coords="729,3721,987,3646,3703">Simples</WORD>
<WORD coords="1016,3718,1033,3689,3718">,</WORD>
<WORD coords="1073,3722,1116,3663,3712">y</WORD>
<WORD coords="1158,3702,1222,3665,3701">se</WORD>
<WORD coords="1254,3717,1642,3642,3698">multiplican</WORD>
<WORD coords="1674,3697,1749,3640,3696">de</WORD>
<WORD coords="1795,3696,1908,3639,3694">dos</WORD>
<WORD coords="1956,3692,2032,3655,3691">en</WORD>
<WORD coords="2079,3691,2191,3635,3690">dos</WORD>
<WORD coords="2224,3707,2364,3649,3687">para</WORD>
<WORD coords="2415,3685,2652,3629,3683">formar</WORD>
<WORD coords="2694,3682,2788,3626,3681">los</WORD>
<WORD coords="2831,3680,3108,3622,3678">factores</WORD>
</LINE>
<LINE>
<WORD coords="742,3828,1143,3763,3809">compuestos</WORD>
<WORD coords="1205,3808,1283,3751,3807">de</WORD>
<WORD coords="1343,3807,1374,3751,3806">á</WORD>
<WORD coords="1414,3805,1527,3749,3805">dos</WORD>
<WORD coords="1563,3815,1582,3792,3809">,</WORD>
<WORD coords="1631,3803,1711,3765,3803">no</WORD>
<WORD coords="1766,3803,1832,3765,3802">se</WORD>
<WORD coords="1880,3802,1960,3746,3801">ha</WORD>
<WORD coords="1992,3799,2067,3743,3798">de</WORD>
<WORD coords="2123,3814,2311,3758,3795">poner</WORD>
<WORD coords="2373,3794,2490,3737,3792">dos</WORD>
<WORD coords="2538,3793,2719,3753,3791">veces</WORD>
<WORD coords="2766,3788,2822,3731,3787">el</WORD>
<WORD coords="2877,3789,3107,3729,3786">mismo</WORD>
</LINE>
<LINE>
<WORD coords="738,3942,1044,3860,3916">producto</WORD>
<WORD coords="1070,3930,1086,3883,3914">;</WORD>
<WORD coords="1144,3914,1280,3858,3913">sino</WORD>
<WORD coords="1330,3913,1463,3857,3912">solo</WORD>
<WORD coords="1509,3911,1567,3856,3910">el</WORD>
<WORD coords="1633,3929,1907,3854,3908">primero</WORD>
<WORD coords="1960,3923,2078,3868,3905">que</WORD>
<WORD coords="2136,3902,2201,3866,3901">se</WORD>
<WORD coords="2249,3901,2473,3841,3899">formó.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="996,4043,1291,3964,4020">Ejemplo.</WORD>
<WORD coords="1383,4037,1847,3961,4017">Averigüemos</WORD>
<WORD coords="1880,4017,1971,3959,4015">los</WORD>
<WORD coords="2013,4019,2283,3954,4013">factores</WORD>
<WORD coords="2328,4010,2414,3970,4009">asi</WORD>
<WORD coords="2446,4026,2698,3945,4005">simples</WORD>
<WORD coords="2730,4004,2911,3961,4001">corr¿©</WORD>
<WORD coords="2940,4002,3108,3956,3999">cono-</WORD>
</LINE>
<LINE>
<WORD coords="739,4158,998,4085,4135">puestos</WORD>
<WORD coords="1052,4133,1154,4073,4132">del</WORD>
<WORD coords="1194,4129,1234,4089,4130">»</WORD>
<WORD coords="1244,4131,1460,4085,4129">amero</WORD>
<WORD coords="1527,4129,1665,4075,4128">189»</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0052.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0053.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0053.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1308,556,1460,468,555">43</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="442,683,681,620,679">Coloco</WORD>
<WORD coords="743,677,801,620,676">el</WORD>
<WORD coords="849,677,970,622,675">180</WORD>
<WORD coords="1012,673,1075,616,672">to</WORD>
<WORD coords="1130,672,1261,634,672">mas</WORD>
<WORD coords="1308,675,1510,622,673">amba</WORD>
<WORD coords="1568,693,1608,637,683">y</WORD>
<WORD coords="1653,673,1787,616,672">acia</WORD>
<WORD coords="1835,672,1891,617,671">la</WORD>
<WORD coords="1964,691,2291,616,671">izquierda</WORD>
<WORD coords="2346,673,2424,617,672">de</WORD>
<WORD coords="2483,675,2536,619,675">ía</WORD>
</LINE>
<LINE>
<WORD coords="189,807,434,733,786">pizarra</WORD>
<WORD coords="484,790,522,732,790">ó</WORD>
<WORD coords="594,804,768,731,783">pap^l</WORD>
<WORD coords="818,784,891,746,783">en</WORD>
<WORD coords="952,801,1070,744,782">que</WORD>
<WORD coords="1136,779,1200,742,779">se</WORD>
<WORD coords="1269,798,1533,727,778">practica</WORD>
<WORD coords="1575,780,1587,744,780">:</WORD>
<WORD coords="1646,782,1763,723,780">tiro</WORD>
<WORD coords="1814,780,1930,741,778">una</WORD>
<WORD coords="2000,797,2144,742,776">raya</WORD>
<WORD coords="2208,779,2282,724,778">de</WORD>
<WORD coords="2359,784,2557,727,778">arriba</WORD>
</LINE>
<LINE>
<WORD coords="182,916,362,837,894">abajo</WORD>
<WORD coords="409,893,439,842,893">á</WORD>
<WORD coords="485,895,559,857,893">su</WORD>
<WORD coords="603,893,871,834,891">derecha</WORD>
<WORD coords="912,905,928,877,905">,</WORD>
<WORD coords="976,910,1016,852,908">y</WORD>
<WORD coords="1072,907,1272,850,886">pongo</WORD>
<WORD coords="1321,887,1394,852,886">su</WORD>
<WORD coords="1446,887,1684,832,886">divisor</WORD>
<WORD coords="1748,886,1776,850,886">a</WORD>
<WORD coords="1844,887,1895,833,886">la</WORD>
<WORD coords="1961,887,2158,830,885">frente</WORD>
<WORD coords="2190,902,2206,875,896">,</WORD>
<WORD coords="2255,890,2564,831,888">haciendo</WORD>
</LINE>
<LINE>
<WORD coords="182,1002,246,944,1001">lo</WORD>
<WORD coords="301,1000,525,946,998">mismo</WORD>
<WORD coords="573,999,627,945,998">al</WORD>
<WORD coords="690,997,926,942,996">dividir</WORD>
<WORD coords="989,998,1080,941,997">los</WORD>
<WORD coords="1136,996,1455,937,993">cocientes</WORD>
<WORD coords="1495,1007,1510,981,1002">,</WORD>
<WORD coords="1555,997,1734,957,993">como</WORD>
<WORD coords="1795,995,1857,958,994">se</WORD>
<WORD coords="1921,993,1993,959,992">ve</WORD>
<WORD coords="2044,1014,2186,939,995">aqui</WORD>
<WORD coords="2212,995,2226,959,0">:</WORD>
</LINE>
<LINE>
<WORD coords="189,1110,307,1055,1106">180</WORD>
<WORD coords="386,1131,405,1049,1114">|</WORD>
<WORD coords="477,1105,513,1058,1105">2</WORD>
<WORD coords="592,1131,611,1050,1116">|</WORD>
<WORD coords="725,1125,833,1055,1118">(&gt;)</WORD>
<WORD coords="952,1130,966,1049,1130">I</WORD>
<WORD coords="1128,1126,1231,1048,1123">(3)</WORD>
<WORD coords="1400,1126,1415,1045,1126">f</WORD>
<WORD coords="1528,1121,1632,1044,1117">(4)</WORD>
<WORD coords="1755,1126,1778,1044,1125">\</WORD>
<WORD coords="1897,1124,2002,1044,1115">(5)</WORD>
</LINE>
<LINE>
<WORD coords="228,1211,311,1157,1210">90</WORD>
<WORD coords="384,1235,400,1161,1218">|</WORD>
<WORD coords="477,1213,514,1167,1213">2</WORD>
<WORD coords="593,1235,605,1156,1223">|</WORD>
<WORD coords="680,1212,742,1163,1220">4.</WORD>
<WORD coords="963,1233,979,1153,1233">|</WORD>
<WORD coords="1401,1235,1424,1153,1235">t</WORD>
<WORD coords="1766,1234,1781,1154,1234">|</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="230,1317,309,1265,1317">45</WORD>
<WORD coords="390,1341,406,1261,1324">¡</WORD>
<WORD coords="489,1317,521,1268,1318">3</WORD>
<WORD coords="602,1344,616,1262,1327">|</WORD>
<WORD coords="695,1326,752,1267,1324">6.</WORD>
<WORD coords="801,1324,816,1292,1324">é</WORD>
<WORD coords="865,1321,880,1306,1321">.</WORD>
<WORD coords="963,1343,977,1263,1341">|</WORD>
<WORD coords="1061,1320,1134,1270,1327">12</WORD>
<WORD coords="1407,1339,1421,1262,1339">|</WORD>
<WORD coords="1757,1342,1772,1261,1342">|</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="227,1427,301,1374,1425">15</WORD>
<WORD coords="383,1448,395,1368,1431">|</WORD>
<WORD coords="474,1425,508,1374,1425">3</WORD>
<WORD coords="586,1448,599,1370,1431">|</WORD>
<WORD coords="679,1426,721,1373,1426">9</WORD>
<WORD coords="787,1432,806,1413,1428">.</WORD>
<WORD coords="856,1427,871,1412,1427">.</WORD>
<WORD coords="950,1450,965,1371,1432">|</WORD>
<WORD coords="1046,1427,1164,1377,1426">18.</WORD>
<WORD coords="1215,1427,1232,1409,1427">.</WORD>
<WORD coords="1422,1452,1436,1371,1430">|</WORD>
<WORD coords="1515,1426,1591,1373,1425">36</WORD>
<WORD coords="1769,1449,1783,1370,1449">|</WORD>
</LINE>
<LINE>
<WORD coords="267,1532,304,1480,1532">5</WORD>
<WORD coords="380,1554,395,1474,1537">|</WORD>
<WORD coords="470,1530,506,1482,1531">5</WORD>
<WORD coords="581,1553,597,1474,1553">J</WORD>
<WORD coords="675,1555,965,1478,1543">10;15|</WORD>
<WORD coords="1038,1549,1253,1482,1541">20;30</WORD>
<WORD coords="1258,1548,1275,1501,1548">;</WORD>
<WORD coords="1297,1555,1427,1478,1538">45|</WORD>
<WORD coords="1511,1532,1591,1480,1535">60</WORD>
<WORD coords="1611,1549,1625,1521,1531">,</WORD>
<WORD coords="1649,1532,1728,1480,1532">90</WORD>
<WORD coords="1765,1557,1777,1476,1545">¡</WORD>
<WORD coords="1862,1534,1978,1482,1533">180</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="271,1659,398,1580,1659">M</WORD>
<WORD coords="576,1664,599,1582,1664">I</WORD>
<WORD coords="951,1664,970,1582,1664">I</WORD>
<WORD coords="1398,1665,1416,1583,1665">I</WORD>
<WORD coords="1765,1663,1778,1607,1663">i</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="436,1747,494,1686,1747">Y</WORD>
<WORD coords="537,1749,715,1710,1748">como</WORD>
<WORD coords="760,1749,816,1691,1748">el</WORD>
<WORD coords="862,1748,986,1697,1746">180.</WORD>
<WORD coords="1031,1751,1217,1692,1749">acaba</WORD>
<WORD coords="1251,1749,1324,1711,1749">en</WORD>
<WORD coords="1365,1748,1410,1700,1748">O</WORD>
<WORD coords="1442,1762,1458,1737,1756">,</WORD>
<WORD coords="1505,1750,1782,1712,1748">conozco</WORD>
<WORD coords="1833,1768,1952,1711,1750">que</WORD>
<WORD coords="2000,1750,2069,1711,1750">es</WORD>
<WORD coords="2125,1755,2416,1691,1750">divisible</WORD>
<WORD coords="2449,1772,2564,1714,1753">por</WORD>
</LINE>
<LINE>
<WORD coords="189,1869,269,1803,1865">2,</WORD>
<WORD coords="315,1874,435,1817,1855">que</WORD>
<WORD coords="481,1855,541,1798,1854">io</WORD>
<WORD coords="594,1856,807,1799,1855">coloco</WORD>
<WORD coords="866,1856,923,1799,1854">al</WORD>
<WORD coords="990,1855,1191,1795,1853">frente</WORD>
<WORD coords="1251,1874,1520,1798,1854">después</WORD>
<WORD coords="1581,1856,1658,1801,1855">de</WORD>
<WORD coords="1712,1855,1768,1801,1854">la</WORD>
<WORD coords="1839,1875,1983,1818,1855">raya</WORD>
<WORD coords="2030,1877,2070,1820,1876">y</WORD>
<WORD coords="2124,1875,2286,1796,1853">hago</WORD>
<WORD coords="2350,1859,2406,1804,1858">la</WORD>
<WORD coords="2467,1860,2567,1802,1859">di-</WORD>
</LINE>
<LINE>
<WORD coords="188,1966,393,1904,1961">misión</WORD>
<WORD coords="458,1962,999,1904,1961">abreviadamente</WORD>
<WORD coords="1034,1977,1052,1949,1970">,</WORD>
<WORD coords="1094,1962,1386,1905,1961">diciendo</WORD>
<WORD coords="1418,1966,1435,1929,1965">:</WORD>
<WORD coords="1491,1964,1687,1906,1962">mitad</WORD>
<WORD coords="1747,1964,1822,1908,1964">de</WORD>
<WORD coords="1890,1964,1915,1913,1964">1</WORD>
<WORD coords="1963,1978,1977,1953,1970">,</WORD>
<WORD coords="2008,1963,2087,1924,1962">no</WORD>
<WORD coords="2146,1980,2347,1909,1966">puede</WORD>
<WORD coords="2438,1987,2564,1929,1966">ser,</WORD>
</LINE>
<LINE>
<WORD coords="192,2069,363,2024,2068">tomo</WORD>
<WORD coords="414,2067,507,2011,2067">los</WORD>
<WORD coords="555,2069,669,2013,2068">dos</WORD>
<WORD coords="717,2087,1023,2012,2067">primeros</WORD>
<WORD coords="1079,2090,1434,2013,2068">guarismos</WORD>
<WORD coords="1480,2089,1523,2032,2089">y</WORD>
<WORD coords="1584,2091,1733,2013,2068">digo</WORD>
<WORD coords="1768,2069,1782,2033,2069">:</WORD>
<WORD coords="1840,2070,2037,2013,2068">mitad</WORD>
<WORD coords="2091,2069,2169,2012,2068">de</WORD>
<WORD coords="2239,2071,2311,2021,2070">18</WORD>
<WORD coords="2377,2074,2442,2039,2072">e3</WORD>
<WORD coords="2503,2094,2565,2023,2084">9,</WORD>
</LINE>
<LINE>
<WORD coords="194,2192,312,2137,2173">que</WORD>
<WORD coords="358,2194,560,2135,2172">pongo</WORD>
<WORD coords="622,2198,842,2117,2173">debajo</WORD>
<WORD coords="892,2176,992,2118,2174">del</WORD>
<WORD coords="1053,2176,1089,2128,2176">8</WORD>
<WORD coords="1121,2191,1137,2163,2191">,</WORD>
<WORD coords="1168,2193,1208,2139,2185">y</WORD>
<WORD coords="1267,2177,1422,2119,2175">nada</WORD>
<WORD coords="1479,2176,1576,2140,2175">me</WORD>
<WORD coords="1626,2176,1808,2120,2174">sobra</WORD>
<WORD coords="1840,2188,1858,2162,2188">,</WORD>
<WORD coords="1892,2193,2162,2117,2174">después</WORD>
<WORD coords="2222,2198,2369,2119,2175">digo</WORD>
<WORD coords="2399,2160,2415,2139,2167">♦</WORD>
<WORD coords="2453,2182,2570,2128,2182">mi-</WORD>
</LINE>
<LINE>
<WORD coords="190,2280,297,2223,2280">tad</WORD>
<WORD coords="344,2279,419,2224,2279">de</WORD>
<WORD coords="459,2278,501,2230,2278">O</WORD>
<WORD coords="546,2280,607,2243,2280">es</WORD>
<WORD coords="661,2281,706,2229,2281">O</WORD>
<WORD coords="732,2296,747,2269,2296">,</WORD>
<WORD coords="796,2300,914,2245,2282">que</WORD>
<WORD coords="985,2303,1186,2244,2281">pongo</WORD>
<WORD coords="1240,2282,1271,2231,2282">á</WORD>
<WORD coords="1321,2282,1759,2225,2281">continuación</WORD>
<WORD coords="1824,2282,1923,2225,2281">del</WORD>
<WORD coords="1971,2280,2009,2229,2281">9</WORD>
<WORD coords="2040,2295,2054,2270,2295">,</WORD>
<WORD coords="2103,2298,2141,2243,2298">y</WORD>
<WORD coords="2200,2307,2386,2236,2282">tengo</WORD>
<WORD coords="2462,2304,2577,2250,2290">por</WORD>
</LINE>
<LINE>
<WORD coords="190,2388,467,2330,2386">cociente</WORD>
<WORD coords="524,2389,621,2332,2387">90.</WORD>
<WORD coords="722,2389,943,2330,2387">Ahora</WORD>
<WORD coords="987,2391,1102,2353,2390">veo</WORD>
<WORD coords="1165,2408,1274,2353,2389">por</WORD>
<WORD coords="1319,2410,1439,2354,2390">q&gt;us</WORD>
<WORD coords="1491,2391,1752,2353,2390">numero</WORD>
<WORD coords="1799,2389,1864,2354,2388">es</WORD>
<WORD coords="1922,2390,2213,2331,2387">divisible</WORD>
<WORD coords="2260,2390,2314,2340,2389">el</WORD>
<WORD coords="2370,2394,2451,2342,2393">90</WORD>
<WORD coords="2482,2409,2496,2384,2409">,</WORD>
<WORD coords="2524,2417,2565,2357,2417">y</WORD>
</LINE>
<LINE>
<WORD coords="191,2492,373,2453,2490">como</WORD>
<WORD coords="435,2495,622,2438,2493">acaba</WORD>
<WORD coords="666,2495,741,2458,2495">en</WORD>
<WORD coords="782,2496,822,2446,2496">O</WORD>
<WORD coords="871,2496,934,2459,2495">es</WORD>
<WORD coords="986,2499,1278,2440,2496">divisible</WORD>
<WORD coords="1327,2516,1437,2460,2497">por</WORD>
<WORD coords="1496,2500,1532,2449,2498">2</WORD>
<WORD coords="1569,2497,1582,2462,2497">:</WORD>
<WORD coords="1632,2497,1846,2439,2496">coloco</WORD>
<WORD coords="1885,2495,1940,2440,2495">el</WORD>
<WORD coords="1999,2497,2035,2449,2497">2</WORD>
<WORD coords="2091,2500,2368,2439,2497">enfrente</WORD>
<WORD coords="2403,2515,2418,2489,2509">,</WORD>
<WORD coords="2457,2504,2567,2443,2503">ha-</WORD>
</LINE>
<LINE>
<WORD coords="187,2598,407,2542,2597">ciendo</WORD>
<WORD coords="466,2600,523,2543,2599">la</WORD>
<WORD coords="569,2602,844,2543,2601">división</WORD>
<WORD coords="903,2616,1286,2547,2602">abreviada,</WORD>
<WORD coords="1339,2627,1541,2566,2602">pongo</WORD>
<WORD coords="1597,2604,1652,2548,2603">el</WORD>
<WORD coords="1713,2603,1988,2547,2602">cociente</WORD>
<WORD coords="2048,2602,2129,2553,2602">45</WORD>
<WORD coords="2189,2625,2417,2548,2603">debajo</WORD>
<WORD coords="2463,2613,2571,2554,2610">del</WORD>
</LINE>
<LINE>
<WORD coords="186,2706,289,2648,2705">90.</WORD>
<WORD coords="386,2708,588,2647,2706">Como</WORD>
<WORD coords="644,2708,701,2653,2708">el</WORD>
<WORD coords="752,2708,829,2657,2708">45</WORD>
<WORD coords="888,2710,968,2670,2709">no</WORD>
<WORD coords="1014,2710,1080,2673,2709">es</WORD>
<WORD coords="1151,2710,1444,2652,2708">divisible</WORD>
<WORD coords="1495,2729,1600,2672,2709">por</WORD>
<WORD coords="1662,2725,1733,2662,2715">2,</WORD>
<WORD coords="1796,2710,1910,2673,2709">veo</WORD>
<WORD coords="1976,2710,2030,2654,2709">si</WORD>
<WORD coords="2091,2710,2150,2654,2709">io</WORD>
<WORD coords="2199,2710,2263,2675,2710">es</WORD>
<WORD coords="2340,2721,2450,2675,2712">por</WORD>
<WORD coords="2506,2716,2542,2665,2716">3</WORD>
<WORD coords="2550,2732,2574,2698,2732">f</WORD>
</LINE>
<LINE>
<WORD coords="184,2815,477,2754,2813">diciendo</WORD>
<WORD coords="512,2823,531,2783,2819">;</WORD>
<WORD coords="592,2816,633,2764,2816">4</WORD>
<WORD coords="675,2835,714,2779,2825">y</WORD>
<WORD coords="768,2815,803,2766,2815">5</WORD>
<WORD coords="862,2817,972,2779,2816">son</WORD>
<WORD coords="1022,2831,1095,2763,2826">9,</WORD>
<WORD coords="1142,2836,1177,2781,2827">y</WORD>
<WORD coords="1227,2818,1413,2780,2817">como</WORD>
<WORD coords="1472,2817,1527,2763,2816">el</WORD>
<WORD coords="1582,2818,1621,2764,2818">9</WORD>
<WORD coords="1675,2819,1742,2781,2818">es</WORD>
<WORD coords="1805,2835,2089,2760,2815">múltiplo</WORD>
<WORD coords="2141,2817,2217,2762,2816">de</WORD>
<WORD coords="2274,2818,2305,2768,2818">3</WORD>
<WORD coords="2343,2829,2358,2806,2825">,</WORD>
<WORD coords="2394,2821,2564,2764,2818">divi-</WORD>
</LINE>
<LINE>
<WORD coords="182,2920,265,2861,2919">éo</WORD>
<WORD coords="318,2921,374,2866,2921">el</WORD>
<WORD coords="425,2923,504,2871,2923">45</WORD>
<WORD coords="541,2940,649,2884,2923">por</WORD>
<WORD coords="695,2939,771,2872,2933">3,</WORD>
<WORD coords="817,2942,1127,2867,2923">poniendo</WORD>
<WORD coords="1186,2925,1315,2877,2923">este</WORD>
<WORD coords="1363,2926,1642,2866,2923">enfrente</WORD>
<WORD coords="1694,2924,1771,2867,2924">de</WORD>
<WORD coords="1818,2943,2046,2871,2923">aquel:</WORD>
<WORD coords="2102,2925,2303,2865,2923">hecha</WORD>
<WORD coords="2366,2926,2422,2871,2925">la</WORD>
<WORD coords="2468,2927,2563,2871,2927">di-</WORD>
</LINE>
<LINE>
<WORD coords="183,3027,389,2970,3026">visión</WORD>
<WORD coords="437,3041,814,2972,3029">abreviada,</WORD>
<WORD coords="871,3032,1090,2977,3030">coloco</WORD>
<WORD coords="1141,3032,1198,2975,3031">el</WORD>
<WORD coords="1243,3032,1525,2975,3030">cociente</WORD>
<WORD coords="1592,3031,1663,2982,3030">15</WORD>
<WORD coords="1723,3048,1946,2974,3029">debajo</WORD>
<WORD coords="2003,3030,2104,2975,3028">del</WORD>
<WORD coords="2149,3029,2247,2978,3028">45.</WORD>
<WORD coords="2345,3031,2421,2976,3030">fíl</WORD>
<WORD coords="2484,3033,2557,2982,3032">15</WORD>
</LINE>
<LINE>
<WORD coords="178,3134,435,3076,3132">todabia</WORD>
<WORD coords="483,3138,549,3099,3136">es</WORD>
<WORD coords="610,3139,899,3079,3137">divisible</WORD>
<WORD coords="954,3156,1064,3100,3136">por</WORD>
<WORD coords="1113,3138,1147,3089,3138">3</WORD>
<WORD coords="1177,3153,1192,3127,3153">,</WORD>
<WORD coords="1236,3157,1344,3100,3136">por</WORD>
<WORD coords="1393,3155,1509,3101,3138">que</WORD>
<WORD coords="1576,3137,1601,3088,3137">1</WORD>
<WORD coords="1651,3156,1692,3100,3146">y</WORD>
<WORD coords="1740,3136,1779,3089,3136">5</WORD>
<WORD coords="1825,3135,1931,3100,3134">son</WORD>
<WORD coords="1993,3135,2033,3084,3135">6</WORD>
<WORD coords="2071,3151,2087,3123,3151">,</WORD>
<WORD coords="2119,3153,2239,3098,3134">que</WORD>
<WORD coords="2298,3135,2363,3100,3135">es</WORD>
<WORD coords="2400,3139,2558,3082,3137">múl-</WORD>
</LINE>
<LINE>
<WORD coords="185,3257,339,3190,3241">tiplo</WORD>
<WORD coords="386,3244,463,3187,3243">de</WORD>
<WORD coords="516,3242,549,3194,3243">3</WORD>
<WORD coords="581,3261,601,3213,3256">;</WORD>
<WORD coords="632,3251,785,3209,3246">pues</WORD>
<WORD coords="833,3268,997,3190,3246">hago</WORD>
<WORD coords="1046,3246,1108,3191,3245">la</WORD>
<WORD coords="1165,3250,1439,3189,3247">división</WORD>
<WORD coords="1483,3263,1520,3209,3263">y</WORD>
<WORD coords="1578,3264,1781,3207,3243">pongo</WORD>
<WORD coords="1830,3244,1885,3188,3244">d&gt;</WORD>
<WORD coords="1912,3265,2055,3187,3242">bajo</WORD>
<WORD coords="2091,3241,2149,3183,3240">el</WORD>
<WORD coords="2195,3245,2470,3189,3243">cociente</WORD>
<WORD coords="2502,3246,2566,3195,3244">5.</WORD>
</LINE>
<LINE>
<WORD coords="195,3349,279,3295,3349">A:</WORD>
<WORD coords="314,3350,415,3311,3348">ora</WORD>
<WORD coords="447,3367,467,3337,3359">,</WORD>
<WORD coords="508,3352,564,3295,3351">el</WORD>
<WORD coords="619,3353,656,3302,3353">5</WORD>
<WORD coords="700,3353,780,3316,3352">no</WORD>
<WORD coords="804,3353,869,3318,3352">es</WORD>
<WORD coords="917,3355,1209,3297,3353">divisible</WORD>
<WORD coords="1249,3373,1360,3316,3352">por</WORD>
<WORD coords="1393,3352,1426,3303,3352">3</WORD>
<WORD coords="1458,3367,1473,3340,3367">,</WORD>
<WORD coords="1512,3371,1658,3313,3350">pero</WORD>
<WORD coords="1695,3350,1749,3299,3349">lo</WORD>
<WORD coords="1784,3350,1849,3315,3349">es</WORD>
<WORD coords="1887,3367,1994,3312,3348">por</WORD>
<WORD coords="2026,3350,2079,3293,3349">si</WORD>
<WORD coords="2133,3350,2362,3291,3349">mismo</WORD>
<WORD coords="2399,3365,2412,3320,3365">;</WORD>
<WORD coords="2447,3365,2555,3315,3353">por</WORD>
</LINE>
<LINE>
<WORD coords="187,3456,356,3407,3454">tanto</WORD>
<WORD coords="407,3478,609,3418,3456">pongo</WORD>
<WORD coords="653,3460,709,3403,3459">el</WORD>
<WORD coords="742,3460,778,3410,3460">5</WORD>
<WORD coords="806,3463,1083,3403,3460">enfrente</WORD>
<WORD coords="1114,3476,1130,3449,3476">,</WORD>
<WORD coords="1164,3481,1204,3425,3471">y</WORD>
<WORD coords="1237,3462,1434,3403,3460">hecha</WORD>
<WORD coords="1481,3458,1536,3404,3457">la</WORD>
<WORD coords="1595,3459,1878,3401,3457">divisioa</WORD>
<WORD coords="1921,3457,2252,3399,3454">abreviada</WORD>
<WORD coords="2295,3469,2309,3445,3465">,</WORD>
<WORD coords="2343,3461,2561,3406,3457">coloco</WORD>
</LINE>
<LINE>
<WORD coords="191,3563,252,3508,3562">el</WORD>
<WORD coords="297,3565,573,3506,3563">cociente</WORD>
<WORD coords="634,3568,661,3515,3568">1</WORD>
<WORD coords="722,3589,945,3509,3566">debajo</WORD>
<WORD coords="978,3589,1015,3532,3589">y</WORD>
<WORD coords="1071,3590,1270,3525,3567">tengo</WORD>
<WORD coords="1305,3566,1395,3514,3565">los</WORD>
<WORD coords="1447,3568,1719,3508,3564">factores</WORD>
<WORD coords="1773,3582,2025,3508,3562">simples</WORD>
<WORD coords="2072,3563,2107,3516,3564">2</WORD>
<WORD coords="2145,3572,2158,3548,3568">,</WORD>
<WORD coords="2191,3562,2225,3516,3563">2</WORD>
<WORD coords="2261,3576,2276,3551,3575">,</WORD>
<WORD coords="2310,3574,2365,3514,3569">3,</WORD>
<WORD coords="2405,3579,2469,3516,3570">3,</WORD>
<WORD coords="2503,3568,2562,3515,3566">5*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="449,3676,605,3616,3673">Para</WORD>
<WORD coords="657,3676,855,3614,3674">hallar</WORD>
<WORD coords="900,3676,988,3639,3675">ros</WORD>
<WORD coords="1037,3692,1431,3628,3673">compuestos</WORD>
<WORD coords="1487,3672,1564,3617,3671">de</WORD>
<WORD coords="1615,3670,1645,3621,3670">á</WORD>
<WORD coords="1691,3671,1804,3614,3669">dos</WORD>
<WORD coords="1838,3670,2101,3612,3667">factores</WORD>
<WORD coords="2148,3687,2402,3610,3666">simples</WORD>
<WORD coords="2438,3683,2453,3657,3677">,</WORD>
<WORD coords="2488,3670,2566,3613,3669">ti-</WORD>
</LINE>
<LINE>
<WORD coords="189,3787,327,3726,3783">raré</WORD>
<WORD coords="383,3784,504,3745,3783">una</WORD>
<WORD coords="548,3804,696,3745,3783">raya</WORD>
<WORD coords="752,3784,830,3729,3784">de</WORD>
<WORD coords="900,3784,1101,3727,3782">arriba</WORD>
<WORD coords="1163,3802,1338,3726,3779">ab^jo</WORD>
<WORD coords="1371,3799,1388,3768,3799">y</WORD>
<WORD coords="1437,3781,1466,3727,3780">á</WORD>
<WORD coords="1515,3780,1569,3726,3778">la</WORD>
<WORD coords="1648,3779,1913,3722,3777">derecha</WORD>
<WORD coords="1983,3775,2058,3720,3775">de</WORD>
<WORD coords="2116,3776,2205,3719,3775">los</WORD>
<WORD coords="2279,3793,2562,3723,3779">simples;</WORD>
</LINE>
<LINE>
<WORD coords="188,3907,605,3831,3888">multiplicaré</WORD>
<WORD coords="653,3891,709,3835,3890">el</WORD>
<WORD coords="763,3909,994,3835,3890">primer</WORD>
<WORD coords="1057,3891,1255,3833,3889">factor</WORD>
<WORD coords="1310,3889,1344,3843,3889">2</WORD>
<WORD coords="1401,3907,1509,3850,3886">por</WORD>
<WORD coords="1560,3887,1746,3832,3886">todos</WORD>
<WORD coords="1802,3884,1893,3830,3883">los</WORD>
<WORD coords="1951,3903,2068,3849,3883">que</WORD>
<WORD coords="2124,3904,2302,3838,3881">trnga</WORD>
<WORD coords="2375,3882,2559,3828,3880">deba-</WORD>
</LINE>
<LINE>
<WORD coords="177,4014,248,3941,3990">jo</WORD>
<WORD coords="306,3997,382,3938,3995">de</WORD>
<WORD coords="443,4012,540,3940,3997">sí,</WORD>
<WORD coords="598,3999,806,3941,3996">dicien</WORD>
<WORD coords="823,3997,892,3942,3995">io</WORD>
<WORD coords="925,3997,938,3962,3997">:</WORD>
<WORD coords="990,3998,1026,3951,3998">2</WORD>
<WORD coords="1080,4014,1187,3959,3993">por</WORD>
<WORD coords="1237,3997,1271,3949,3995">2</WORD>
<WORD coords="1321,3994,1428,3959,3993">son</WORD>
<WORD coords="1487,4008,1575,3945,4004">4,</WORD>
<WORD coords="1633,4014,1752,3957,3992">que</WORD>
<WORD coords="1815,4010,2020,3954,3989">pongo</WORD>
<WORD coords="2085,3990,2115,3941,3991">á</WORD>
<WORD coords="2179,3989,2231,3938,3988">ia</WORD>
<WORD coords="2295,3986,2391,3932,3985">di</WORD>
<WORD coords="2411,3987,2561,3940,3985">echa</WORD>
</LINE>
<LINE>
<WORD coords="189,4104,265,4041,4100">¿e</WORD>
<WORD coords="315,4106,371,4045,4106">h</WORD>
<WORD coords="414,4125,563,4065,4107">raya</WORD>
<WORD coords="616,4109,899,4047,4108">enñeate</WORD>
<WORD coords="946,4109,1049,4049,4107">del</WORD>
<WORD coords="1100,4126,1383,4045,4104">segundo</WORD>
<WORD coords="1451,4121,1530,4056,4107">2-,</WORD>
<WORD coords="1560,4125,1678,4065,4103">que</WORD>
<WORD coords="1728,4104,1792,4062,4102">es</WORD>
<WORD coords="1843,4121,1951,4062,4100">por</WORD>
<WORD coords="2008,4098,2063,4041,4097">ti</WORD>
<WORD coords="2109,4116,2224,4062,4099">que</WORD>
<WORD coords="2273,4096,2346,4039,4095">he</WORD>
<WORD coords="2405,4097,2560,4043,4095">a;ul-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0053.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0054.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0054.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1766,554,1912,460,551">44</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="638,697,980,621,676">típlícado;</WORD>
<WORD coords="1042,692,1307,617,673">después</WORD>
<WORD coords="1357,692,1554,613,669">digo:</WORD>
<WORD coords="1637,670,1675,620,670">2</WORD>
<WORD coords="1740,689,1849,632,667">por</WORD>
<WORD coords="1906,668,1940,619,669">3</WORD>
<WORD coords="1988,668,2097,631,667">son</WORD>
<WORD coords="2158,681,2234,614,673">6-,</WORD>
<WORD coords="2293,686,2415,628,668">qi*e</WORD>
<WORD coords="2486,688,2697,626,665">penga</WORD>
<WORD coords="2746,670,3026,607,667">enfrente</WORD>
</LINE>
<LINE>
<WORD coords="638,788,740,733,786">del</WORD>
<WORD coords="798,803,1029,733,784">primer</WORD>
<WORD coords="1076,781,1107,734,781">3</WORD>
<WORD coords="1144,798,1159,771,798">,</WORD>
<WORD coords="1218,801,1337,745,781">que</WORD>
<WORD coords="1385,779,1449,744,779">es</WORD>
<WORD coords="1503,798,1614,739,777">por</WORD>
<WORD coords="1666,779,1724,723,777">el</WORD>
<WORD coords="1773,793,1891,741,778">que</WORD>
<WORD coords="1943,778,2020,720,777">he</WORD>
<WORD coords="2059,791,2490,718,774">multiplicado</WORD>
<WORD coords="2522,790,2546,739,790">;</WORD>
<WORD coords="2600,792,2869,719,773">después</WORD>
<WORD coords="2916,774,3028,717,774">de-</WORD>
</LINE>
<LINE>
<WORD coords="641,896,791,837,894">beré</WORD>
<WORD coords="849,892,1021,836,891">decir</WORD>
<WORD coords="1056,892,1070,855,890">:</WORD>
<WORD coords="1138,889,1171,843,889">2</WORD>
<WORD coords="1235,907,1344,850,886">por</WORD>
<WORD coords="1406,885,1439,838,893">3</WORD>
<WORD coords="1465,901,1481,874,901">,</WORD>
<WORD coords="1527,903,1682,846,885">pera</WORD>
<WORD coords="1721,887,1903,846,884">corno</WORD>
<WORD coords="1965,885,2020,829,883">él</WORD>
<WORD coords="2084,902,2395,825,883">producto</WORD>
<WORD coords="2459,882,2560,825,880">del</WORD>
<WORD coords="2606,880,2644,830,882">2</WORD>
<WORD coords="2715,897,2827,841,879">por</WORD>
<WORD coords="2886,879,3019,832,878">este</WORD>
</LINE>
<LINE>
<WORD coords="640,1023,923,942,999">segundo</WORD>
<WORD coords="968,1002,1033,947,998">3,</WORD>
<WORD coords="1086,996,1216,942,995">será</WORD>
<WORD coords="1272,995,1325,940,993">ei</WORD>
<WORD coords="1389,993,1616,938,992">mismo</WORD>
<WORD coords="1673,1011,1792,955,993">que</WORD>
<WORD coords="1845,992,1903,936,992">el</WORD>
<WORD coords="1950,993,2049,935,991">del</WORD>
<WORD coords="2099,1000,2371,933,990">primero</WORD>
<WORD coords="2404,1002,2421,976,996">,</WORD>
<WORD coords="2449,987,2528,950,986">no</WORD>
<WORD coords="2572,986,2635,929,985">lo</WORD>
<WORD coords="2683,1005,2926,927,982">ejecuto</WORD>
<WORD coords="2960,1002,3005,944,1002">y</WORD>
</LINE>
<LINE>
<WORD coords="643,1129,795,1071,1106">paso</WORD>
<WORD coords="843,1105,872,1055,1105">á</WORD>
<WORD coords="936,1119,1316,1047,1102">multiplicar</WORD>
<WORD coords="1383,1100,1442,1045,1100">el</WORD>
<WORD coords="1481,1100,1535,1052,1098">:2</WORD>
<WORD coords="1593,1117,1708,1061,1098">por</WORD>
<WORD coords="1767,1098,1822,1042,1097">el</WORD>
<WORD coords="1881,1097,1917,1048,1097">5</WORD>
<WORD coords="1949,1113,1966,1085,1106">,</WORD>
<WORD coords="2032,1099,2326,1039,1095">diciendo</WORD>
<WORD coords="2361,1099,2379,1061,1098">;</WORD>
<WORD coords="2428,1094,2466,1046,1095">2</WORD>
<WORD coords="2524,1110,2632,1055,1091">por</WORD>
<WORD coords="2689,1091,2723,1042,1094">5</WORD>
<WORD coords="2772,1089,2882,1051,1089">son</WORD>
<WORD coords="2942,1103,3025,1034,1095">1Q</WORD>
</LINE>
<LINE>
<WORD coords="642,1234,765,1178,1214">que</WORD>
<WORD coords="829,1232,1032,1174,1207">pongo</WORD>
<WORD coords="1078,1209,1357,1151,1208">enfrente</WORD>
<WORD coords="1416,1207,1514,1148,1206">del</WORD>
<WORD coords="1575,1207,1612,1158,1207">5</WORD>
<WORD coords="1646,1221,1664,1194,1221">,</WORD>
<WORD coords="1697,1227,1816,1169,1206">que</WORD>
<WORD coords="1846,1206,1927,1171,1205">&gt;es</WORD>
<WORD coords="1987,1222,2096,1166,1203">por</WORD>
<WORD coords="2150,1206,2204,1149,1203">el</WORD>
<WORD coords="2252,1223,2372,1167,1203">que</WORD>
<WORD coords="2432,1201,2508,1146,1201">he</WORD>
<WORD coords="2566,1213,3020,1137,1195">multiplicado.</WORD>
</LINE>
<LINE>
<WORD coords="649,1326,869,1268,1321">Ahora</WORD>
<WORD coords="918,1321,1169,1264,1319">dtberia</WORD>
<WORD coords="1212,1336,1590,1261,1315">multiplicar</WORD>
<WORD coords="1648,1315,1705,1260,1314">el</WORD>
<WORD coords="1765,1335,2050,1255,1313">segundo</WORD>
<WORD coords="2103,1314,2142,1266,1314">2</WORD>
<WORD coords="2198,1330,2307,1273,1312">por</WORD>
<WORD coords="2351,1311,2541,1252,1308">todos</WORD>
<WORD coords="2588,1307,2680,1251,1305">los</WORD>
<WORD coords="2732,1320,2852,1265,1301">que</WORD>
<WORD coords="2893,1299,3029,1243,1298">tie-</WORD>
</LINE>
<LINE>
<WORD coords="642,1430,720,1392,1429">ne</WORD>
<WORD coords="782,1451,1001,1372,1427">debajo</WORD>
<WORD coords="1061,1427,1136,1370,1426">de</WORD>
<WORD coords="1189,1440,1285,1369,1424">sí;</WORD>
<WORD coords="1331,1439,1474,1386,1423">pero</WORD>
<WORD coords="1535,1421,1714,1384,1421">como</WORD>
<WORD coords="1762,1420,1839,1365,1419">de</WORD>
<WORD coords="1895,1420,2060,1377,1418">estos</WORD>
<WORD coords="2107,1438,2449,1361,1415">productos</WORD>
<WORD coords="2488,1414,2603,1374,1414">me</WORD>
<WORD coords="2662,1412,3034,1348,1406">resultaría»</WORD>
</LINE>
<LINE>
<WORD coords="644,1542,739,1485,1539">los</WORD>
<WORD coords="814,1538,1068,1483,1536">mismos</WORD>
<WORD coords="1121,1555,1238,1500,1535">que</WORD>
<WORD coords="1299,1555,1375,1497,1532">ya</WORD>
<WORD coords="1427,1552,1615,1487,1530">tengo</WORD>
<WORD coords="1677,1542,2030,1470,1526">apuntados</WORD>
<WORD coords="2066,1539,2083,1513,1532">,</WORD>
<WORD coords="2127,1526,2348,1486,1523">escuso</WORD>
<WORD coords="2413,1523,2468,1467,1522">el</WORD>
<WORD coords="2529,1522,2714,1465,1521">hacer</WORD>
<WORD coords="2768,1516,2824,1461,1516">la</WORD>
<WORD coords="2881,1531,3032,1474,1512">ope-</WORD>
</LINE>
<LINE>
<WORD coords="648,1649,883,1590,1646">ración.</WORD>
<WORD coords="986,1645,1138,1588,1642">Paso</WORD>
<WORD coords="1185,1657,1453,1587,1641">después</WORD>
<WORD coords="1510,1637,1540,1585,1637">á</WORD>
<WORD coords="1604,1654,1980,1578,1634">multiplicar</WORD>
<WORD coords="2016,1632,2072,1576,1631">el</WORD>
<WORD coords="2133,1629,2165,1581,1630">3</WORD>
<WORD coords="2227,1649,2338,1592,1628">por</WORD>
<WORD coords="2385,1630,2569,1573,1629">todos</WORD>
<WORD coords="2613,1629,2707,1572,1627">los</WORD>
<WORD coords="2767,1642,2885,1585,1620">que</WORD>
<WORD coords="2914,1618,3033,1562,1617">tie-</WORD>
</LINE>
<LINE>
<WORD coords="654,1756,731,1716,1755">ne</WORD>
<WORD coords="797,1775,1022,1696,1751">debajo</WORD>
<WORD coords="1071,1750,1147,1693,1749">de</WORD>
<WORD coords="1197,1750,1251,1693,1749">sí</WORD>
<WORD coords="1286,1763,1302,1736,1756">,</WORD>
<WORD coords="1356,1749,1651,1690,1746">diciendo</WORD>
<WORD coords="1682,1748,1697,1709,1746">;</WORD>
<WORD coords="1753,1744,1788,1693,1744">3</WORD>
<WORD coords="1836,1760,1943,1704,1741">por</WORD>
<WORD coords="1992,1741,2028,1683,1740">3</WORD>
<WORD coords="2086,1740,2196,1703,1739">son</WORD>
<WORD coords="2244,1737,2282,1686,1738">9</WORD>
<WORD coords="2318,1752,2334,1726,1752">,</WORD>
<WORD coords="2365,1757,2483,1701,1738">que</WORD>
<WORD coords="2534,1756,2735,1696,1734">pongo</WORD>
<WORD coords="2786,1728,3031,1667,1723">enireii-</WORD>
</LINE>
<LINE>
<WORD coords="648,1864,708,1817,1864">te</WORD>
<WORD coords="780,1861,883,1806,1860">del</WORD>
<WORD coords="940,1860,969,1810,1860">3</WORD>
<WORD coords="1032,1878,1314,1799,1855">segundo</WORD>
<WORD coords="1343,1869,1360,1843,1869">,</WORD>
<WORD coords="1420,1872,1541,1817,1854">que</WORD>
<WORD coords="1586,1852,1652,1814,1851">es</WORD>
<WORD coords="1701,1871,1812,1812,1850">por</WORD>
<WORD coords="1868,1850,1921,1793,1849">el</WORD>
<WORD coords="1976,1866,2104,1807,1848">que</WORD>
<WORD coords="2147,1865,2547,1786,1844">multipliqué</WORD>
<WORD coords="2579,1860,2596,1831,1860">,</WORD>
<WORD coords="2638,1862,2677,1805,1860">y</WORD>
<WORD coords="2723,1859,2837,1798,1838">por</WORD>
<WORD coords="2887,1832,3037,1791,1830">con-</WORD>
</LINE>
<LINE>
<WORD coords="656,1992,972,1912,1967">siguiente</WORD>
<WORD coords="1020,1966,1095,1928,1965">en</WORD>
<WORD coords="1142,1965,1222,1927,1964">un</WORD>
<WORD coords="1265,1984,1443,1907,1961">lugar</WORD>
<WORD coords="1498,1960,1677,1901,1958">vacío</WORD>
<WORD coords="1725,1976,1844,1919,1958">que</WORD>
<WORD coords="1891,1956,1989,1919,1955">me</WORD>
<WORD coords="2034,1954,2224,1898,1953">habrá</WORD>
<WORD coords="2285,1971,2576,1895,1951">quedado</WORD>
<WORD coords="2622,1949,2794,1904,1946">entre</WORD>
<WORD coords="2851,1942,2911,1885,1941">el</WORD>
<WORD coords="2983,1938,3028,1879,1938">6</WORD>
</LINE>
<LINE>
<WORD coords="655,2102,696,2040,2089">y</WORD>
<WORD coords="746,2077,802,2020,2076">el</WORD>
<WORD coords="860,2075,933,2026,2075">10</WORD>
<WORD coords="989,2090,1108,2036,2072">que</WORD>
<WORD coords="1171,2093,1248,2034,2070">ya</WORD>
<WORD coords="1303,2069,1466,2013,2068">tenis</WORD>
<WORD coords="1502,2085,1518,2036,2077">;</WORD>
<WORD coords="1553,2069,1848,2009,2065">continúo</WORD>
<WORD coords="1898,2065,2189,2005,2062">diciendo</WORD>
<WORD coords="2219,2069,2237,2027,2064">;</WORD>
<WORD coords="2285,2059,2319,2008,2059">3</WORD>
<WORD coords="2376,2078,2484,2019,2056">por</WORD>
<WORD coords="2536,2057,2569,2007,2058">5</WORD>
<WORD coords="2626,2053,2736,2013,2051">son</WORD>
<WORD coords="2753,2060,2882,1997,2046">^15,</WORD>
<WORD coords="2915,2063,3037,2004,2043">que;</WORD>
</LINE>
<LINE>
<WORD coords="657,2206,868,2147,2183">pongo</WORD>
<WORD coords="917,2182,1193,2123,2180">enfrente</WORD>
<WORD coords="1249,2180,1351,2120,2177">del</WORD>
<WORD coords="1407,2195,1490,2127,2189">5,</WORD>
<WORD coords="1545,2198,1584,2139,2195">y</WORD>
<WORD coords="1639,2192,1748,2137,2172">por</WORD>
<WORD coords="1818,2191,2252,2114,2169">consiguiente</WORD>
<WORD coords="2289,2166,2317,2113,2168">á</WORD>
<WORD coords="2374,2166,2434,2111,2165">la</WORD>
<WORD coords="2483,2166,2750,2103,2161">derecha</WORD>
<WORD coords="2800,2157,2899,2100,2155">del</WORD>
<WORD coords="2938,2161,3034,2099,2155">10;</WORD>
</LINE>
<LINE>
<WORD coords="656,2292,840,2255,2291">como</WORD>
<WORD coords="900,2292,976,2234,2290">de</WORD>
<WORD coords="1039,2302,1418,2231,2286">multiplicar</WORD>
<WORD coords="1477,2285,1532,2228,2284">el</WORD>
<WORD coords="1595,2305,1881,2223,2281">segundo</WORD>
<WORD coords="1939,2278,1974,2228,2278">3</WORD>
<WORD coords="2036,2294,2146,2237,2274">por</WORD>
<WORD coords="2192,2272,2247,2218,2271">el</WORD>
<WORD coords="2304,2272,2339,2223,2273">5</WORD>
<WORD coords="2398,2290,2515,2234,2270">que</WORD>
<WORD coords="2558,2269,2723,2212,2267">tiene</WORD>
<WORD coords="2775,2282,3030,2203,2261">debajo,</WORD>
</LINE>
<LINE>
<WORD coords="655,2401,757,2362,2400">me</WORD>
<WORD coords="818,2398,1123,2340,2396">resultará</WORD>
<WORD coords="1184,2396,1255,2345,2395">15</WORD>
<WORD coords="1305,2413,1424,2356,2393">que</WORD>
<WORD coords="1470,2413,1546,2351,2390">ya</WORD>
<WORD coords="1591,2411,1778,2345,2387">tengo</WORD>
<WORD coords="1812,2403,1829,2374,2394">,</WORD>
<WORD coords="1872,2386,2069,2328,2385">omito</WORD>
<WORD coords="2107,2383,2247,2335,2381">esta</WORD>
<WORD coords="2296,2400,2625,2318,2377">operación</WORD>
<WORD coords="2669,2393,2718,2335,2393">y</WORD>
<WORD coords="2779,2393,2928,2325,2367">paso</WORD>
<WORD coords="2992,2382,3053,2308,2382">%</WORD>
</LINE>
<LINE>
<WORD coords="649,2510,830,2468,2508">sacar</WORD>
<WORD coords="890,2505,981,2450,2504">los</WORD>
<WORD coords="1044,2518,1443,2455,2501">compuestos</WORD>
<WORD coords="1496,2499,1573,2442,2498">de</WORD>
<WORD coords="1623,2497,1650,2446,2498">¿</WORD>
<WORD coords="1710,2496,1855,2450,2495">tres.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="915,2612,1072,2557,2611">Para</WORD>
<WORD coords="1119,2610,1253,2566,2608">esto</WORD>
<WORD coords="1284,2621,1300,2596,2621">,</WORD>
<WORD coords="1345,2625,1614,2549,2605">después</WORD>
<WORD coords="1667,2603,1746,2546,2603">de</WORD>
<WORD coords="1800,2601,2003,2543,2600">tirada</WORD>
<WORD coords="2059,2600,2115,2542,2598">la</WORD>
<WORD coords="2159,2614,2307,2557,2595">raya</WORD>
<WORD coords="2365,2618,2796,2527,2593">mullicaré</WORD>
<WORD coords="2843,2582,2901,2524,2581">el</WORD>
<WORD coords="2964,2595,3040,2519,2595">%</WORD>
<WORD coords="3050,2600,3057,2585,2600">;</WORD>
</LINE>
<LINE>
<WORD coords="652,2744,888,2666,2720">primer</WORD>
<WORD coords="938,2719,1139,2661,2717">factor</WORD>
<WORD coords="1192,2732,1558,2667,2713">compuesto</WORD>
<WORD coords="1604,2711,1686,2653,2710">de</WORD>
<WORD coords="1733,2709,1765,2656,2709">á</WORD>
<WORD coords="1825,2711,1938,2651,2708">dos</WORD>
<WORD coords="1972,2722,1992,2694,2722">,</WORD>
<WORD coords="2036,2723,2145,2668,2704">por</WORD>
<WORD coords="2207,2703,2391,2647,2701">todos</WORD>
<WORD coords="2449,2698,2540,2643,2697">ios</WORD>
<WORD coords="2599,2708,2865,2636,2691">simples,</WORD>
<WORD coords="2912,2702,3033,2646,2684">que</WORD>
</LINE>
<LINE>
<WORD coords="649,2850,832,2782,2828">tenga</WORD>
<WORD coords="878,2848,1100,2770,2826">debajo</WORD>
<WORD coords="1163,2823,1242,2766,2823">de</WORD>
<WORD coords="1299,2821,1352,2763,2820">sí</WORD>
<WORD coords="1390,2833,1404,2808,2826">,</WORD>
<WORD coords="1452,2820,1587,2775,2819">esto</WORD>
<WORD coords="1639,2818,1704,2781,2818">es</WORD>
<WORD coords="1736,2820,1751,2800,2820">,</WORD>
<WORD coords="1804,2834,1917,2778,2815">por</WORD>
<WORD coords="1965,2815,2154,2755,2812">todos</WORD>
<WORD coords="2228,2811,2321,2755,2810">los</WORD>
<WORD coords="2371,2824,2627,2749,2805">simples</WORD>
<WORD coords="2679,2818,2796,2761,2798">que</WORD>
<WORD coords="2864,2799,3050,2749,2793">esta»,</WORD>
</LINE>
<LINE>
<WORD coords="654,2960,880,2881,2937">debajo</WORD>
<WORD coords="938,2935,1037,2879,2934">del</WORD>
<WORD coords="1087,2953,1346,2875,2930">renglón</WORD>
<WORD coords="1393,2927,1597,2871,2925">donde</WORD>
<WORD coords="1648,2925,1711,2889,2924">se</WORD>
<WORD coords="1757,2924,1919,2866,2922">halla</WORD>
<WORD coords="1976,2922,2032,2866,2921">el</WORD>
<WORD coords="2078,2919,2118,2869,2919">4</WORD>
<WORD coords="2143,2934,2160,2908,2928">,</WORD>
<WORD coords="2205,2923,2497,2858,2915">diciendo</WORD>
<WORD coords="2531,2916,2547,2881,2918">:</WORD>
<WORD coords="2590,2914,2630,2861,2917">4</WORD>
<WORD coords="2687,2925,2796,2868,2903">por</WORD>
<WORD coords="2846,2900,2878,2852,2910">3</WORD>
<WORD coords="2926,2907,3056,2853,2896">soft,</WORD>
</LINE>
<LINE>
<WORD coords="660,3060,774,2997,3054">12,</WORD>
<WORD coords="805,3064,922,3008,3044">que</WORD>
<WORD coords="961,3064,1165,3005,3040">pongo</WORD>
<WORD coords="1196,3040,1472,2978,3036">enfrente</WORD>
<WORD coords="1505,3033,1606,2977,3032">del</WORD>
<WORD coords="1653,3051,1883,2977,3030">primer</WORD>
<WORD coords="1917,3029,1950,2976,3029">3</WORD>
<WORD coords="1986,3045,2003,3017,3045">,</WORD>
<WORD coords="2035,3047,2153,2989,3026">que</WORD>
<WORD coords="2185,3024,2250,2988,3024">es</WORD>
<WORD coords="2306,3041,2415,2985,3020">por</WORD>
<WORD coords="2446,3020,2503,2965,3019">el</WORD>
<WORD coords="2550,3037,2667,2980,3018">que</WORD>
<WORD coords="2713,3013,2791,2956,3012">he</WORD>
<WORD coords="2827,3008,3039,2951,3005">multi-</WORD>
</LINE>
<LINE>
<WORD coords="654,3174,901,3097,3150">plicado</WORD>
<WORD coords="924,3167,944,3118,3167">;</WORD>
<WORD coords="980,3169,1158,3098,3147">fuego</WORD>
<WORD coords="1194,3163,1212,3134,3154">,</WORD>
<WORD coords="1236,3145,1414,3106,3143">como</WORD>
<WORD coords="1447,3141,1524,3084,3140">de</WORD>
<WORD coords="1566,3140,1621,3085,3139">la</WORD>
<WORD coords="1656,3156,2138,3079,3136">multiplicación</WORD>
<WORD coords="2172,3131,2270,3075,3130">del</WORD>
<WORD coords="2316,3129,2540,3075,3128">mismo</WORD>
<WORD coords="2567,3126,2612,3075,3130">4</WORD>
<WORD coords="2644,3144,2752,3084,3119">por</WORD>
<WORD coords="2803,3123,2859,3060,3119">el</WORD>
<WORD coords="2891,3117,3014,3055,3108">2.°</WORD>
</LINE>
<LINE>
<WORD coords="659,3262,695,3210,3260">3</WORD>
<WORD coords="746,3259,840,3222,3258">me</WORD>
<WORD coords="888,3257,1212,3197,3254">resultaría</WORD>
<WORD coords="1246,3251,1301,3195,3250">el</WORD>
<WORD coords="1352,3253,1422,3204,3252">12</WORD>
<WORD coords="1459,3266,1575,3212,3246">qne</WORD>
<WORD coords="1626,3267,1705,3209,3245">ya</WORD>
<WORD coords="1738,3265,1926,3201,3245">tengo</WORD>
<WORD coords="1963,3257,1978,3233,3249">,</WORD>
<WORD coords="2001,3241,2196,3186,3239">omito</WORD>
<WORD coords="2251,3237,2380,3193,3235">esta</WORD>
<WORD coords="2427,3245,2757,3175,3231">operación</WORD>
<WORD coords="2806,3247,2842,3190,3245">y</WORD>
<WORD coords="2884,3243,3039,3183,3223">paso</WORD>
</LINE>
<LINE>
<WORD coords="658,3369,693,3314,3369">á</WORD>
<WORD coords="755,3385,1130,3308,3365">multiplicar</WORD>
<WORD coords="1175,3363,1231,3308,3362">el</WORD>
<WORD coords="1288,3361,1329,3309,3361">4</WORD>
<WORD coords="1380,3378,1491,3320,3357">por</WORD>
<WORD coords="1548,3358,1603,3300,3357">el</WORD>
<WORD coords="1663,3354,1698,3306,3354">5</WORD>
<WORD coords="1718,3367,1728,3344,3367">t</WORD>
<WORD coords="1775,3353,2067,3297,3351">diciendo</WORD>
<WORD coords="2125,3350,2165,3302,3350">4</WORD>
<WORD coords="2211,3367,2321,3309,3346">por</WORD>
<WORD coords="2374,3346,2407,3297,3348">5</WORD>
<WORD coords="2443,3343,2549,3309,3342">son</WORD>
<WORD coords="2583,3341,2662,3291,3343">20</WORD>
<WORD coords="2695,3351,2709,3325,3351">,</WORD>
<WORD coords="2740,3354,2858,3300,3335">que</WORD>
<WORD coords="2891,3349,3043,3296,3332">pon-</WORD>
</LINE>
<LINE>
<WORD coords="667,3496,748,3438,3473">go</WORD>
<WORD coords="799,3472,1087,3415,3470">enfrente</WORD>
<WORD coords="1152,3470,1253,3413,3469">del</WORD>
<WORD coords="1309,3484,1395,3420,3472">5;</WORD>
<WORD coords="1454,3465,1642,3408,3463">ahora</WORD>
<WORD coords="1698,3462,1754,3405,3460">el</WORD>
<WORD coords="1802,3459,1840,3407,3459">6</WORD>
<WORD coords="1874,3475,1891,3447,3475">,</WORD>
<WORD coords="1943,3476,2224,3397,3453">segundo</WORD>
<WORD coords="2270,3466,2634,3402,3448">compuesto</WORD>
<WORD coords="2679,3443,2757,3388,3443">de</WORD>
<WORD coords="2817,3440,2845,3389,3448">á</WORD>
<WORD coords="2902,3454,3042,3381,3435">dos,</WORD>
</LINE>
<LINE>
<WORD coords="660,3584,726,3526,3583">le</WORD>
<WORD coords="790,3595,1212,3518,3576">multiplicaré</WORD>
<WORD coords="1261,3593,1371,3537,3572">por</WORD>
<WORD coords="1402,3572,1585,3516,3570">todas</WORD>
<WORD coords="1630,3568,1721,3515,3568">los</WORD>
<WORD coords="1770,3586,1888,3530,3566">que</WORD>
<WORD coords="1945,3564,2019,3526,3562">en</WORD>
<WORD coords="2069,3558,2122,3506,3558">la</WORD>
<WORD coords="2179,3558,2465,3502,3555">columna</WORD>
<WORD coords="2524,3551,2598,3495,3549">de</WORD>
<WORD coords="2641,3549,2731,3496,3548">los</WORD>
<WORD coords="2786,3562,3044,3488,3546">simples</WORD>
</LINE>
<LINE>
<WORD coords="664,3690,731,3650,3688">te</WORD>
<WORD coords="792,3686,1008,3628,3682">hallen</WORD>
<WORD coords="1082,3683,1408,3623,3679">inferiores</WORD>
<WORD coords="1458,3679,1485,3643,3679">a</WORD>
<WORD coords="1545,3676,1601,3621,3674">él</WORD>
<WORD coords="1640,3688,1656,3662,3681">,</WORD>
<WORD coords="1711,3674,2005,3615,3672">diciendo</WORD>
<WORD coords="2044,3670,2058,3635,3669">:</WORD>
<WORD coords="2101,3666,2139,3613,3667">6</WORD>
<WORD coords="2188,3682,2295,3625,3661">por</WORD>
<WORD coords="2333,3664,2367,3611,3666">3</WORD>
<WORD coords="2413,3660,2523,3622,3659">son</WORD>
<WORD coords="2584,3656,2656,3607,3660">18</WORD>
<WORD coords="2690,3670,2707,3643,3670">,</WORD>
<WORD coords="2738,3675,2855,3618,3653">que</WORD>
<WORD coords="2895,3670,3045,3611,3649">pon-</WORD>
</LINE>
<LINE>
<WORD coords="674,3821,752,3751,3792">gtó</WORD>
<WORD coords="810,3792,1089,3734,3789">enfrente</WORD>
<WORD coords="1147,3788,1245,3733,3786">del</WORD>
<WORD coords="1303,3806,1584,3727,3783">segundo</WORD>
<WORD coords="1645,3779,1679,3731,3779">3</WORD>
<WORD coords="1721,3796,1739,3769,3796">,</WORD>
<WORD coords="1795,3798,1915,3742,3778">que</WORD>
<WORD coords="1976,3777,2040,3740,3775">es</WORD>
<WORD coords="2091,3792,2199,3735,3771">por</WORD>
<WORD coords="2252,3769,2307,3715,3768">el</WORD>
<WORD coords="2366,3786,2485,3730,3767">que</WORD>
<WORD coords="2534,3765,2611,3707,3765">he</WORD>
<WORD coords="2671,3777,3044,3702,3759">multiplica-</WORD>
</LINE>
<LINE>
<WORD coords="669,3903,752,3847,3901">do</WORD>
<WORD coords="778,3914,794,3890,3914">,</WORD>
<WORD coords="852,3917,889,3863,3916">y</WORD>
<WORD coords="935,3916,1050,3859,3894">por</WORD>
<WORD coords="1101,3915,1527,3837,3892">consiguiente</WORD>
<WORD coords="1588,3889,1661,3851,3888">en</WORD>
<WORD coords="1722,3888,1778,3834,3887">el</WORD>
<WORD coords="1859,3886,2057,3828,3884">hueco</WORD>
<WORD coords="2119,3900,2237,3845,3880">que</WORD>
<WORD coords="2289,3897,2498,3823,3877">quedó</WORD>
<WORD coords="2543,3876,2712,3830,3872">entre</WORD>
<WORD coords="2759,3868,2812,3815,3866">el</WORD>
<WORD coords="2889,3865,2961,3815,3870">12</WORD>
<WORD coords="3001,3898,3053,3824,3898">y</WORD>
</LINE>
<LINE>
<WORD coords="673,4009,731,3956,4008">el</WORD>
<WORD coords="785,4017,913,3957,4010">20;</WORD>
<WORD coords="956,4014,1222,3947,4001">después</WORD>
<WORD coords="1274,4018,1421,3943,3997">digo</WORD>
<WORD coords="1460,4004,1475,3967,4001">;</WORD>
<WORD coords="1513,3998,1550,3946,3998">6</WORD>
<WORD coords="1602,4012,1708,3958,3995">por</WORD>
<WORD coords="1768,3994,1801,3947,3993">5</WORD>
<WORD coords="1864,3992,1972,3953,3991">fon</WORD>
<WORD coords="2027,3990,2104,3939,3988">SO</WORD>
<WORD coords="2133,4001,2147,3978,4001">,</WORD>
<WORD coords="2182,4006,2297,3951,3986">que</WORD>
<WORD coords="2361,4006,2565,3949,3983">pongo</WORD>
<WORD coords="2612,3979,2887,3921,3975">enfrente</WORD>
<WORD coords="2943,3969,3048,3915,3968">del</WORD>
</LINE>
<LINE>
<WORD coords="674,4116,709,4065,4116">5</WORD>
<WORD coords="745,4135,765,4101,4135">,</WORD>
<WORD coords="809,4135,848,4076,4134">y</WORD>
<WORD coords="896,4133,1006,4072,4112">por</WORD>
<WORD coords="1064,4131,1497,4050,4108">consiguiente</WORD>
<WORD coords="1552,4108,1610,4050,4107">ai</WORD>
<WORD coords="1657,4106,1800,4046,4104">lado</WORD>
<WORD coords="1848,4104,1952,4044,4103">del</WORD>
<WORD coords="2004,4102,2083,4050,4101">20</WORD>
<WORD coords="2122,4112,2138,4064,4112">;</WORD>
<WORD coords="2197,4122,2340,4057,4098">p^so</WORD>
<WORD coords="2389,4099,2449,4038,4097">al</WORD>
<WORD coords="2520,4105,2561,4037,4103">?</WORD>
<WORD coords="2610,4092,2904,4026,4086">diciendo</WORD>
<WORD coords="2929,4084,2948,4047,4084">s</WORD>
<WORD coords="3006,4092,3049,4022,4092">§</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0054.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0055.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0055.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1258,582,1404,492,582">45</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="140,729,255,664,705">por</WORD>
<WORD coords="309,705,351,650,705">&amp;</WORD>
<WORD coords="393,705,505,662,703">son</WORD>
<WORD coords="558,716,685,651,710">45,</WORD>
<WORD coords="736,722,856,662,704">que</WORD>
<WORD coords="914,722,1121,660,699">pongo</WORD>
<WORD coords="1196,701,1472,645,700">enfrente</WORD>
<WORD coords="1530,704,1629,645,703">del</WORD>
<WORD coords="1678,719,1765,652,714">5,</WORD>
<WORD coords="1808,724,1848,666,723">y</WORD>
<WORD coords="1908,723,2021,662,699">pnr</WORD>
<WORD coords="2083,721,2513,644,700">consiguiente</WORD>
</LINE>
<LINE>
<WORD coords="138,814,197,757,812">al</WORD>
<WORD coords="239,812,378,755,811">lado</WORD>
<WORD coords="432,811,531,755,810">del</WORD>
<WORD coords="582,812,678,762,811">30.</WORD>
<WORD coords="770,812,970,755,810">Como</WORD>
<WORD coords="1016,809,1093,771,808">en</WORD>
<WORD coords="1148,809,1204,749,809">la</WORD>
<WORD coords="1255,811,1541,753,808">columna</WORD>
<WORD coords="1599,811,1675,756,809">de</WORD>
<WORD coords="1719,810,1806,757,809">los</WORD>
<WORD coords="1842,831,2094,754,809">simples</WORD>
<WORD coords="2146,807,2222,772,807">no</WORD>
<WORD coords="2282,827,2399,751,807">hay</WORD>
<WORD coords="2434,826,2513,769,810">ya</WORD>
</LINE>
<LINE>
<WORD coords="132,936,368,861,916">ningún</WORD>
<WORD coords="420,917,620,860,915">factor</WORD>
<WORD coords="679,929,797,879,916">que</WORD>
<WORD coords="860,917,922,879,916">se</WORD>
<WORD coords="978,916,1141,857,913">halle</WORD>
<WORD coords="1186,915,1305,859,914">deb</WORD>
<WORD coords="1330,937,1410,858,914">jo</WORD>
<WORD coords="1459,916,1558,860,915">del</WORD>
<WORD coords="1601,939,1855,863,916">renglcn</WORD>
<WORD coords="1901,917,1978,863,916">de</WORD>
<WORD coords="2032,922,2140,865,918">los</WORD>
<WORD coords="2173,931,2509,876,916">compues-</WORD>
</LINE>
<LINE>
<WORD coords="131,1026,228,979,1025">tos</WORD>
<WORD coords="272,1024,349,969,1024">de</WORD>
<WORD coords="403,1023,433,970,1023">á</WORD>
<WORD coords="478,1026,593,968,1024">dos</WORD>
<WORD coords="625,1040,644,1011,1033">,</WORD>
<WORD coords="686,1027,892,968,1024">donde</WORD>
<WORD coords="947,1025,1073,968,1024">está</WORD>
<WORD coords="1120,1022,1174,968,1021">el</WORD>
<WORD coords="1234,1023,1311,972,1023">10</WORD>
<WORD coords="1363,1043,1403,985,1033">y</WORD>
<WORD coords="1457,1022,1512,968,1021">el</WORD>
<WORD coords="1565,1024,1636,975,1023">15</WORD>
<WORD coords="1671,1041,1689,1011,1033">&gt;</WORD>
<WORD coords="1736,1025,1816,987,1024">no</WORD>
<WORD coords="1874,1043,2081,971,1027">puedo</WORD>
<WORD coords="2134,1028,2306,985,1025">sacar</WORD>
<WORD coords="2361,1020,2493,980,1019">mas</WORD>
</LINE>
<LINE>
<WORD coords="130,1150,526,1085,1131">compuestos</WORD>
<WORD coords="577,1131,657,1074,1131">de</WORD>
<WORD coords="707,1130,735,1095,1130">a</WORD>
<WORD coords="784,1131,906,1093,1130">\res</WORD>
<WORD coords="943,1145,959,1120,1145">,</WORD>
<WORD coords="1014,1149,1052,1093,1148">y</WORD>
<WORD coords="1099,1148,1247,1092,1130">paso</WORD>
<WORD coords="1293,1130,1323,1077,1130">á</WORD>
<WORD coords="1382,1132,1469,1076,1130">los</WORD>
<WORD coords="1518,1130,1594,1074,1130">de</WORD>
<WORD coords="1641,1133,1673,1077,1133">á</WORD>
<WORD coords="1726,1133,1940,1087,1131">cuatro</WORD>
<WORD coords="1983,1134,2278,1077,1132">diciendo</WORD>
<WORD coords="2311,1145,2328,1116,1137">,</WORD>
<WORD coords="2360,1128,2502,1071,1126">des-</WORD>
</LINE>
<LINE>
<WORD coords="128,1255,280,1198,1237">pués</WORD>
<WORD coords="330,1237,408,1180,1237">de</WORD>
<WORD coords="452,1237,607,1183,1235">tirar</WORD>
<WORD coords="663,1237,722,1180,1236">la</WORD>
<WORD coords="778,1257,923,1199,1236">raya</WORD>
<WORD coords="962,1241,979,1205,1239">:</WORD>
<WORD coords="1035,1238,1109,1186,1237">12</WORD>
<WORD coords="1165,1254,1274,1197,1236">por</WORD>
<WORD coords="1318,1237,1375,1180,1237">el</WORD>
<WORD coords="1435,1256,1717,1182,1236">segando</WORD>
<WORD coords="1767,1240,1801,1189,1240">3</WORD>
<WORD coords="1832,1256,1851,1227,1256">,</WORD>
<WORD coords="1899,1256,2017,1203,1239">que</WORD>
<WORD coords="2082,1239,2149,1203,1239">es</WORD>
<WORD coords="2191,1236,2246,1181,1235">el</WORD>
<WORD coords="2280,1252,2399,1195,1233">que</WORD>
<WORD coords="2433,1230,2503,1190,1229">se</WORD>
</LINE>
<LINE>
<WORD coords="123,1346,286,1285,1344">halla</WORD>
<WORD coords="339,1349,598,1286,1343">inferior</WORD>
<WORD coords="644,1344,698,1288,1343">al</WORD>
<WORD coords="756,1344,827,1294,1344">12</WORD>
<WORD coords="886,1343,958,1307,1343">en</WORD>
<WORD coords="1000,1345,1054,1288,1344">la</WORD>
<WORD coords="1103,1346,1387,1288,1343">columna</WORD>
<WORD coords="1452,1345,1527,1288,1344">de</WORD>
<WORD coords="1575,1344,1664,1290,1343">los</WORD>
<WORD coords="1719,1362,2005,1290,1345">simples,</WORD>
<WORD coords="2079,1348,2143,1311,1347">es</WORD>
<WORD coords="2197,1344,2277,1290,1343">36</WORD>
<WORD coords="2310,1356,2331,1327,1355">,</WORD>
<WORD coords="2382,1355,2505,1302,1346">que</WORD>
</LINE>
<LINE>
<WORD coords="138,1472,345,1414,1449">porgo</WORD>
<WORD coords="387,1451,667,1393,1449">enfrente</WORD>
<WORD coords="739,1451,841,1394,1449">del</WORD>
<WORD coords="898,1469,1180,1394,1450">segunde</WORD>
<WORD coords="1243,1451,1276,1400,1451">3</WORD>
<WORD coords="1304,1467,1328,1414,1460">;</WORD>
<WORD coords="1379,1453,1448,1401,1452">12</WORD>
<WORD coords="1509,1465,1617,1415,1450">por</WORD>
<WORD coords="1675,1453,1710,1404,1453">5</WORD>
<WORD coords="1763,1453,1874,1416,1452">son</WORD>
<WORD coords="1919,1454,2001,1402,1453">60</WORD>
<WORD coords="2037,1471,2052,1440,1471">,</WORD>
<WORD coords="2105,1476,2223,1421,1458">que</WORD>
<WORD coords="2304,1474,2514,1413,1453">pongo</WORD>
</LINE>
<LINE>
<WORD coords="127,1559,408,1499,1555">enfrente</WORD>
<WORD coords="470,1557,570,1500,1555">del</WORD>
<WORD coords="609,1556,646,1508,1556">6</WORD>
<WORD coords="670,1570,700,1522,1563">$</WORD>
<WORD coords="734,1556,924,1500,1555">contir</WORD>
<WORD coords="928,1558,1029,1502,1554">»úo</WORD>
<WORD coords="1081,1562,1417,1500,1556">diciendo;</WORD>
<WORD coords="1477,1559,1548,1509,1558">18</WORD>
<WORD coords="1609,1577,1717,1521,1558">por</WORD>
<WORD coords="1775,1560,1813,1511,1560">5</WORD>
<WORD coords="1876,1562,1988,1524,1560">son</WORD>
<WORD coords="2034,1577,2161,1509,1569">90,</WORD>
<WORD coords="2207,1581,2325,1525,1563">que</WORD>
<WORD coords="2357,1578,2512,1520,1559">pon-</WORD>
</LINE>
<LINE>
<WORD coords="132,1688,218,1629,1665">go</WORD>
<WORD coords="266,1666,543,1606,1664">enfrente</WORD>
<WORD coords="596,1666,698,1609,1664">del</WORD>
<WORD coords="763,1681,845,1617,1675">5,</WORD>
<WORD coords="905,1686,946,1627,1683">y</WORD>
<WORD coords="997,1681,1111,1625,1663">por</WORD>
<WORD coords="1163,1686,1590,1610,1666">consiguiente</WORD>
<WORD coords="1648,1668,1703,1612,1667">ai</WORD>
<WORD coords="1761,1669,1904,1612,1668">lado</WORD>
<WORD coords="1947,1669,2048,1612,1668">del</WORD>
<WORD coords="2106,1672,2208,1619,1671">60.</WORD>
<WORD coords="2302,1671,2511,1613,1669">Como</WORD>
</LINE>
<LINE>
<WORD coords="134,1795,215,1737,1776">ya</WORD>
<WORD coords="274,1774,354,1737,1774">no</WORD>
<WORD coords="411,1793,615,1716,1773">puedo</WORD>
<WORD coords="666,1775,840,1734,1773">sacar</WORD>
<WORD coords="887,1774,1021,1736,1773">mas</WORD>
<WORD coords="1084,1795,1482,1727,1773">compuestos</WORD>
<WORD coords="1549,1777,1624,1719,1776">de</WORD>
<WORD coords="1682,1775,1712,1720,1775">á</WORD>
<WORD coords="1785,1780,2013,1729,1776">cuatro</WORD>
<WORD coords="2052,1799,2072,1764,1799">,</WORD>
<WORD coords="2125,1799,2276,1738,1776">paso</WORD>
<WORD coords="2341,1774,2369,1723,1774">á</WORD>
<WORD coords="2424,1776,2521,1719,1773">loa</WORD>
</LINE>
<LINE>
<WORD coords="136,1884,217,1826,1883">de</WORD>
<WORD coords="266,1883,293,1831,1882">á</WORD>
<WORD coords="345,1882,523,1823,1881">cinco</WORD>
<WORD coords="582,1883,928,1823,1881">diciendo:</WORD>
<WORD coords="982,1881,1057,1828,1880">36</WORD>
<WORD coords="1126,1901,1235,1844,1880">por</WORD>
<WORD coords="1281,1881,1316,1832,1881">5</WORD>
<WORD coords="1390,1882,1498,1844,1881">son</WORD>
<WORD coords="1572,1900,1732,1833,1889">180,</WORD>
<WORD coords="1803,1902,1922,1847,1884">que</WORD>
<WORD coords="1986,1910,2191,1847,1885">pongo</WORD>
<WORD coords="2241,1901,2516,1828,1883">después</WORD>
</LINE>
<LINE>
<WORD coords="136,1990,221,1931,1990">de</WORD>
<WORD coords="279,1990,482,1929,1987">tirada</WORD>
<WORD coords="526,1989,581,1933,1988">la</WORD>
<WORD coords="617,2007,764,1947,1986">raya</WORD>
<WORD coords="817,1988,1094,1931,1986">enfrente</WORD>
<WORD coords="1153,1987,1254,1931,1987">del</WORD>
<WORD coords="1312,1989,1347,1940,1989">5</WORD>
<WORD coords="1386,2000,1400,1956,2000">;</WORD>
<WORD coords="1452,2006,1489,1953,1998">y</WORD>
<WORD coords="1539,1991,1719,1952,1989">como</WORD>
<WORD coords="1765,2013,1845,1953,1992">ya</WORD>
<WORD coords="1896,1993,1976,1955,1992">no</WORD>
<WORD coords="2037,2013,2160,1935,1995">hay</WORD>
<WORD coords="2220,1994,2350,1952,1991">mas</WORD>
<WORD coords="2383,1992,2520,1930,1990">fac»</WORD>
</LINE>
<LINE>
<WORD coords="134,2096,305,2045,2094">tores</WORD>
<WORD coords="351,2114,603,2037,2092">simples</WORD>
<WORD coords="638,2107,654,2080,2100">,</WORD>
<WORD coords="681,2093,761,2037,2092">he</WORD>
<WORD coords="808,2094,1137,2036,2092">concluido</WORD>
<WORD coords="1181,2096,1268,2038,2095">mi</WORD>
<WORD coords="1325,2115,1672,2040,2095">operación.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="394,2200,525,2142,2198">Los</WORD>
<WORD coords="580,2199,870,2160,2197">números</WORD>
<WORD coords="904,2216,922,2186,2216">t</WORD>
<WORD coords="951,2217,1069,2161,2198">que</WORD>
<WORD coords="1115,2200,1287,2154,2199">están</WORD>
<WORD coords="1342,2203,1513,2156,2201">entre</WORD>
<WORD coords="1555,2221,1899,2143,2202">paréntesis</WORD>
<WORD coords="1931,2219,1947,2187,2214">,</WORD>
<WORD coords="1993,2210,2260,2148,2208">denotan</WORD>
<WORD coords="2308,2207,2363,2150,2206">el</WORD>
<WORD coords="2397,2212,2513,2169,2206">nú-</WORD>
</LINE>
<LINE>
<WORD coords="139,2312,317,2265,2307">Clero</WORD>
<WORD coords="362,2305,439,2248,2304">de</WORD>
<WORD coords="485,2307,754,2247,2304">factores</WORD>
<WORD coords="800,2323,1054,2247,2304">simples</WORD>
<WORD coords="1104,2305,1181,2250,2305">de</WORD>
<WORD coords="1247,2327,1366,2269,2307">que</WORD>
<WORD coords="1423,2309,1636,2264,2307">consta</WORD>
<WORD coords="1684,2309,1835,2253,2308">cada</WORD>
<WORD coords="1876,2313,2073,2253,2311">hetor</WORD>
<WORD coords="2110,2331,2507,2270,2315">compuesto»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="392,2433,666,2347,2411">Ejemplo</WORD>
<WORD coords="722,2415,778,2363,2414">2.</WORD>
<WORD coords="807,2389,846,2358,2402">°</WORD>
<WORD coords="952,2413,1173,2351,2412">Hallar</WORD>
<WORD coords="1229,2416,1320,2355,2414">los</WORD>
<WORD coords="1374,2417,1641,2355,2414">factores</WORD>
<WORD coords="1700,2437,1954,2360,2416">simples</WORD>
<WORD coords="2011,2439,2052,2381,2439">y</WORD>
<WORD coords="2107,2440,2506,2375,2422">compuesto»</WORD>
</LINE>
<LINE>
<WORD coords="141,2521,225,2461,2520">de</WORD>
<WORD coords="277,2533,443,2465,2524">630,</WORD>
<WORD coords="500,2540,541,2482,2530">y</WORD>
<WORD coords="602,2521,680,2464,2520">de</WORD>
<WORD coords="737,2521,879,2468,2520">540.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="227,2631,330,2576,2629">81.</WORD>
<WORD coords="432,2630,754,2570,2627">Problema</WORD>
<WORD coords="786,2630,804,2595,2631">:</WORD>
<WORD coords="897,2631,1124,2571,2629">Hallar</WORD>
<WORD coords="1181,2636,1241,2573,2633">el</WORD>
<WORD coords="1293,2635,1552,2574,2633">máximo</WORD>
<WORD coords="1610,2638,1820,2592,2636">común</WORD>
<WORD coords="1880,2642,2117,2579,2639">divisor</WORD>
<WORD coords="2172,2640,2247,2579,2638">de</WORD>
<WORD coords="2302,2637,2405,2578,2636">dos</WORD>
<WORD coords="2479,2638,2518,2595,2638">o</WORD>
</LINE>
<LINE>
<WORD coords="145,2733,274,2690,2732">mas</WORD>
<WORD coords="334,2737,636,2693,2733">números.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="398,2843,660,2783,2839">Definic.</WORD>
<WORD coords="753,2845,1029,2783,2843">Máximo</WORD>
<WORD coords="1087,2850,1300,2804,2848">común</WORD>
<WORD coords="1343,2854,1577,2790,2851">divisor</WORD>
<WORD coords="1629,2856,1707,2795,2856">de</WORD>
<WORD coords="1757,2857,1870,2796,2857">dos</WORD>
<WORD coords="1915,2858,1952,2800,2858">ó</WORD>
<WORD coords="2021,2858,2154,2812,2857">más</WORD>
<WORD coords="2221,2859,2516,2814,2855">números</WORD>
</LINE>
<LINE>
<WORD coords="140,2946,208,2907,2946">es</WORD>
<WORD coords="264,2947,318,2888,2946">el</WORD>
<WORD coords="382,2968,596,2911,2946">mayor</WORD>
<WORD coords="647,2950,844,2891,2948">factor</WORD>
<WORD coords="891,2952,930,2897,2954">ó</WORD>
<WORD coords="965,2955,1205,2897,2953">divisor</WORD>
<WORD coords="1259,2976,1377,2921,2958">que</WORD>
<WORD coords="1430,2960,1518,2906,2958">los</WORD>
<WORD coords="1555,2976,1754,2907,2963">puede</WORD>
<WORD coords="1803,2964,2040,2908,2963">dividir</WORD>
<WORD coords="2070,2966,2510,2918,2961">esactamente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="389,3059,773,2997,3054">Resolución.</WORD>
<WORD coords="865,3059,927,3002,3058">Si</WORD>
<WORD coords="956,3059,963,3050,3061">.</WORD>
<WORD coords="987,3062,1093,3024,3060">son</WORD>
<WORD coords="1153,3063,1266,3006,3062">dos</WORD>
<WORD coords="1326,3066,1615,3028,3065">números</WORD>
<WORD coords="1649,3083,1666,3053,3076">,</WORD>
<WORD coords="1710,3069,1997,3012,3068">divídase</WORD>
<WORD coords="2055,3069,2107,3014,3068">el</WORD>
<WORD coords="2159,3087,2376,3028,3066">mayor</WORD>
<WORD coords="2436,3071,2516,3011,3069">de</WORD>
</LINE>
<LINE>
<WORD coords="138,3158,293,3100,3155">ellos</WORD>
<WORD coords="354,3177,464,3122,3158">por</WORD>
<WORD coords="522,3162,576,3107,3160">el</WORD>
<WORD coords="635,3164,841,3128,3163">menor</WORD>
<WORD coords="876,3188,894,3135,3187">¡</WORD>
<WORD coords="942,3187,1207,3111,3167">después</WORD>
<WORD coords="1263,3189,1497,3128,3169">pártase</WORD>
<WORD coords="1556,3172,1616,3117,3172">el</WORD>
<WORD coords="1691,3175,1901,3139,3174">menor</WORD>
<WORD coords="1962,3195,2071,3139,3174">por</WORD>
<WORD coords="2125,3175,2179,3123,3174">la</WORD>
<WORD coords="2239,3192,2513,3138,3173">primera</WORD>
</LINE>
<LINE>
<WORD coords="139,3263,303,3219,3261">resta</WORD>
<WORD coords="343,3274,358,3252,3275">,</WORD>
<WORD coords="407,3265,459,3211,3264">la</WORD>
<WORD coords="511,3285,771,3213,3268">primera</WORD>
<WORD coords="835,3275,996,3230,3273">resta</WORD>
<WORD coords="1065,3293,1177,3238,3275">por</WORD>
<WORD coords="1224,3277,1278,3222,3277">la</WORD>
<WORD coords="1338,3299,1615,3223,3278">segunda</WORD>
<WORD coords="1644,3291,1660,3268,3287">,</WORD>
<WORD coords="1719,3283,1850,3238,3281">esta</WORD>
<WORD coords="1907,3303,2014,3247,3282">por</WORD>
<WORD coords="2071,3282,2126,3231,3282">la</WORD>
<WORD coords="2186,3283,2421,3240,3282">tercera</WORD>
<WORD coords="2476,3302,2520,3245,3302">y</WORD>
</LINE>
<LINE>
<WORD coords="135,3368,228,3311,3367">asi</WORD>
<WORD coords="290,3378,820,3317,3372">succesivamente</WORD>
<WORD coords="870,3382,1044,3323,3380">hasta</WORD>
<WORD coords="1104,3402,1298,3325,3382">llegar</WORD>
<WORD coords="1344,3384,1373,3333,3384">á</WORD>
<WORD coords="1432,3386,1549,3349,3385">una</WORD>
<WORD coords="1605,3389,1877,3331,3387">división</WORD>
<WORD coords="1912,3409,2031,3354,3390">que</WORD>
<WORD coords="2088,3393,2166,3358,3392">no</WORD>
<WORD coords="2202,3411,2346,3338,3392">deje</WORD>
<WORD coords="2383,3392,2513,3354,3390">res-</WORD>
</LINE>
<LINE>
<WORD coords="133,3477,217,3431,3476">ta.</WORD>
<WORD coords="314,3476,389,3421,3475">bÁ</WORD>
<WORD coords="449,3482,689,3425,3480">divisor</WORD>
<WORD coords="746,3502,865,3450,3486">que</WORD>
<WORD coords="913,3488,990,3451,3487">no</WORD>
<WORD coords="1049,3514,1196,3434,3489">dejó</WORD>
<WORD coords="1259,3492,1420,3447,3490">resta</WORD>
<WORD coords="1451,3507,1467,3480,3499">,</WORD>
<WORD coords="1494,3492,1544,3437,3492">si</WORD>
<WORD coords="1591,3493,1656,3456,3492">es</WORD>
<WORD coords="1712,3506,2011,3458,3495">numero,</WORD>
<WORD coords="2047,3500,2183,3462,3497">sera</WORD>
<WORD coords="2229,3496,2280,3446,3495">el</WORD>
<WORD coords="2320,3498,2514,3441,3497">máxi-</WORD>
</LINE>
<LINE>
<WORD coords="130,3584,237,3544,3583">mo</WORD>
<WORD coords="295,3586,535,3529,3584">divisor</WORD>
<WORD coords="608,3606,836,3536,3590">pedido</WORD>
<WORD coords="876,3576,889,3562,3586">•</WORD>
<WORD coords="945,3608,1089,3560,3594">pero</WORD>
<WORD coords="1150,3597,1199,3544,3596">si</WORD>
<WORD coords="1253,3598,1316,3562,3597">es</WORD>
<WORD coords="1378,3598,1395,3553,3598">1</WORD>
<WORD coords="1432,3612,1447,3588,3606">,</WORD>
<WORD coords="1498,3600,1562,3563,3599">se</WORD>
<WORD coords="1627,3601,1762,3544,3599">dirá</WORD>
<WORD coords="1810,3619,1927,3567,3601">que</WORD>
<WORD coords="1978,3605,2106,3550,3602">sola</WORD>
<WORD coords="2161,3606,2215,3553,3605">la</WORD>
<WORD coords="2275,3608,2513,3547,3604">unidad</WORD>
</LINE>
<LINE>
<WORD coords="136,3690,201,3653,3690">es</WORD>
<WORD coords="275,3690,329,3637,3690">el</WORD>
<WORD coords="389,3695,631,3638,3693">divisor</WORD>
<WORD coords="684,3703,908,3662,3699">común</WORD>
<WORD coords="983,3703,1059,3647,3702">de</WORD>
<WORD coords="1112,3705,1346,3648,3704">dichos</WORD>
<WORD coords="1393,3709,1684,3669,3707">números</WORD>
<WORD coords="1720,3726,1736,3696,3726">,</WORD>
<WORD coords="1789,3727,1828,3672,3720">y</WORD>
<WORD coords="1891,3714,2182,3665,3711">entonces</WORD>
<WORD coords="2239,3716,2302,3677,3714">se</WORD>
<WORD coords="2363,3715,2506,3655,3712">dice</WORD>
</LINE>
<LINE>
<WORD coords="138,3815,256,3757,3796">que</WORD>
<WORD coords="308,3799,419,3762,3797">son</WORD>
<WORD coords="462,3805,751,3765,3802">números</WORD>
<WORD coords="807,3824,1039,3754,3807">primes</WORD>
<WORD coords="1093,3814,1261,3770,3811">entre</WORD>
<WORD coords="1324,3813,1398,3755,3807">í-í.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="384,3929,676,3850,3906">Ejemplo,</WORD>
<WORD coords="770,3916,1023,3855,3913">Hállese</WORD>
<WORD coords="1082,3917,1137,3863,3916">el</WORD>
<WORD coords="1196,3918,1464,3863,3917">máximo</WORD>
<WORD coords="1524,3922,1748,3881,3920">común</WORD>
<WORD coords="1811,3923,2050,3865,3921">divisor</WORD>
<WORD coords="2103,3927,2181,3869,3925">de</WORD>
<WORD coords="2245,3924,2334,3870,3923">los</WORD>
<WORD coords="2394,3922,2508,3884,3921">nú-</WORD>
</LINE>
<LINE>
<WORD coords="141,4011,344,3959,4008">meros</WORD>
<WORD coords="393,4013,472,3958,4013">9u</WORD>
<WORD coords="526,4036,568,3978,4030">y</WORD>
<WORD coords="622,4021,727,3964,4019">63.</WORD>
<WORD coords="820,4024,1059,3961,4021">Divido</WORD>
<WORD coords="1114,4023,1173,3968,4023">el</WORD>
<WORD coords="1231,4023,1310,3971,4022">90</WORD>
<WORD coords="1369,4041,1475,3989,4025">por</WORD>
<WORD coords="1534,4028,1610,3975,4027">63</WORD>
<WORD coords="1638,4048,1658,4015,4048">t</WORD>
<WORD coords="1697,4031,1757,3979,4030">io</WORD>
<WORD coords="1834,4050,1954,3995,4032">que</WORD>
<WORD coords="2002,4034,2099,3995,4033">me</WORD>
<WORD coords="2178,4035,2256,3977,4034">da</WORD>
<WORD coords="2308,4032,2333,3985,4032">1</WORD>
<WORD coords="2389,4051,2503,3987,4031">pi&gt;r</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1277,4131,1350,4077,4131">13</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0055.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0056.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0056.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1768,594,1912,491,593">4ñ</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="655,705,932,657,703">cociente</WORD>
<WORD coords="992,725,1031,666,719">y</WORD>
<WORD coords="1084,708,1291,660,707">restan</WORD>
<WORD coords="1339,709,1421,654,710">27</WORD>
<WORD coords="1451,722,1467,677,718">;</WORD>
<WORD coords="1523,714,1745,651,711">divido</WORD>
<WORD coords="1799,716,1875,665,715">63</WORD>
<WORD coords="1912,737,2022,679,718">por</WORD>
<WORD coords="2063,736,2166,661,722">2f,</WORD>
<WORD coords="2250,720,2290,667,719">9</WORD>
<WORD coords="2327,719,2370,669,719">O</WORD>
<WORD coords="2405,739,2421,660,730">|</WORD>
<WORD coords="2455,721,2492,667,721">6</WORD>
<WORD coords="2537,722,2570,671,722">3</WORD>
<WORD coords="2629,746,2716,663,730">[-2</WORD>
<WORD coords="2764,732,2800,677,732">7</WORD>
<WORD coords="2851,740,2865,673,737">(</WORD>
<WORD coords="2900,734,2942,680,734">9</WORD>
</LINE>
<LINE>
<WORD coords="652,828,691,766,828">y</WORD>
<WORD coords="742,832,926,764,807">tengo</WORD>
<WORD coords="977,813,1012,763,815">2</WORD>
<WORD coords="1066,812,1142,757,811">de</WORD>
<WORD coords="1200,817,1476,756,814">cociente</WORD>
<WORD coords="1527,837,1565,779,829">y</WORD>
<WORD coords="1606,822,1832,764,819">sobran</WORD>
<WORD coords="1890,822,1927,771,822">9</WORD>
<WORD coords="1961,824,1974,788,824">:</WORD>
<WORD coords="2039,847,2171,788,825">par-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="645,913,712,866,912">to</WORD>
<WORD coords="772,917,850,866,920">27</WORD>
<WORD coords="907,935,1015,877,916">por</WORD>
<WORD coords="1072,924,1156,861,924">§,</WORD>
<WORD coords="1207,940,1248,881,934">y</WORD>
<WORD coords="1330,923,1508,883,922">como</WORD>
<WORD coords="1563,926,1640,888,925">no</WORD>
<WORD coords="1707,950,1894,883,927">tengo</WORD>
<WORD coords="1968,948,2156,888,931">resta,</WORD>
<WORD coords="2245,935,2281,886,935">2</WORD>
<WORD coords="2330,962,2420,878,945">7}</WORD>
<WORD coords="2502,937,2523,888,937">1</WORD>
<WORD coords="2625,966,2641,882,944">|</WORD>
<WORD coords="2735,946,2769,895,946">2</WORD>
<WORD coords="2848,966,2864,884,951">|</WORD>
<WORD coords="2943,947,2974,897,947">3</WORD>
</LINE>
<LINE>
<WORD coords="648,1042,802,964,1020">digo</WORD>
<WORD coords="851,1042,969,986,1026">que</WORD>
<WORD coords="1022,1023,1062,967,1027">9</WORD>
<WORD coords="1107,1027,1173,989,1026">es</WORD>
<WORD coords="1221,1028,1279,971,1028">el</WORD>
<WORD coords="1325,1033,1596,973,1031">máximo</WORD>
<WORD coords="1640,1038,1871,997,1035">común</WORD>
<WORD coords="1920,1040,2161,975,1039">divisor</WORD>
<WORD coords="2404,1068,2418,989,1052">j</WORD>
<WORD coords="2456,1036,2586,988,1035">Sm*</WORD>
<WORD coords="2621,1073,2632,988,1057">j</WORD>
<WORD coords="2673,1042,2805,993,1041">S*/</WORD>
<WORD coords="2840,1081,2849,1005,1081">j</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="648,1126,727,1069,1126">de</WORD>
<WORD coords="774,1127,855,1074,1131">90</WORD>
<WORD coords="909,1150,948,1093,1146">y</WORD>
<WORD coords="1003,1132,1081,1073,1132">de</WORD>
<WORD coords="1131,1135,1232,1080,1135">63.</WORD>
<WORD coords="1331,1141,1482,1079,1138">Para</WORD>
<WORD coords="1541,1143,1742,1085,1141">evitar</WORD>
<WORD coords="1798,1163,2153,1087,1145">confusión,</WORD>
<WORD coords="2392,1176,2409,1094,1164">|</WORD>
<WORD coords="2489,1152,2524,1102,1152">9</WORD>
<WORD coords="2617,1178,2631,1097,1159">|</WORD>
<WORD coords="2833,1186,2849,1106,1186">J</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="643,1234,714,1192,1233">fie</WORD>
<WORD coords="751,1240,1003,1180,1236">colocan</WORD>
<WORD coords="1050,1241,1142,1183,1240">los</WORD>
<WORD coords="1196,1248,1495,1189,1245">términos</WORD>
<WORD coords="1551,1251,1632,1192,1251">de</WORD>
<WORD coords="1684,1254,1742,1192,1253">la</WORD>
<WORD coords="1789,1275,2089,1195,1254">división,</WORD>
<WORD coords="2133,1264,2445,1201,1259">cocientes</WORD>
<WORD coords="2484,1285,2525,1224,1276">y</WORD>
<WORD coords="2580,1267,2775,1218,1265">restas</WORD>
<WORD coords="2822,1295,3023,1232,1274">seguo</WORD>
</LINE>
<LINE>
<WORD coords="641,1351,712,1307,1350">se</WORD>
<WORD coords="761,1349,838,1310,1349">ve</WORD>
<WORD coords="896,1351,974,1311,1350">en</WORD>
<WORD coords="1019,1351,1074,1294,1351">el</WORD>
<WORD coords="1127,1375,1478,1308,1355">prospecto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="808,1457,930,1401,1457">2.°</WORD>
<WORD coords="1038,1487,1334,1402,1462">Ejemplo.</WORD>
<WORD coords="1429,1471,1508,1409,1470">El</WORD>
<WORD coords="1570,1474,1844,1415,1473">máximo</WORD>
<WORD coords="1896,1477,2128,1435,1476">común</WORD>
<WORD coords="2204,1481,2446,1419,1479">divisor</WORD>
<WORD coords="2521,1483,2600,1423,1482">de</WORD>
<WORD coords="2657,1487,2779,1436,1486">330</WORD>
<WORD coords="2847,1513,2885,1452,1507">y</WORD>
<WORD coords="2937,1501,3018,1435,1499">de</WORD>
</LINE>
<LINE>
<WORD coords="643,1565,770,1508,1568">210</WORD>
<WORD coords="827,1566,893,1525,1566">es</WORD>
<WORD coords="955,1572,1035,1515,1573">30</WORD>
<WORD coords="1065,1585,1088,1555,1585">%</WORD>
<WORD coords="1157,1573,1337,1533,1571">como</WORD>
<WORD coords="1386,1576,1449,1536,1575">se</WORD>
<WORD coords="1495,1596,1696,1522,1577">puede</WORD>
<WORD coords="1742,1585,1852,1542,1582">ver</WORD>
<WORD coords="1879,1595,1898,1568,1595">,</WORD>
<WORD coords="1956,1602,2377,1528,1584">practicando.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="899,1679,1066,1620,1677">Para</WORD>
<WORD coords="1112,1681,1316,1621,1679">hallar</WORD>
<WORD coords="1370,1682,1429,1625,1682">el</WORD>
<WORD coords="1479,1687,1739,1644,1684">máximo</WORD>
<WORD coords="1800,1691,2012,1650,1689">común</WORD>
<WORD coords="2056,1695,2293,1634,1692">divisor</WORD>
<WORD coords="2351,1697,2422,1639,1696">de</WORD>
<WORD coords="2468,1702,2601,1652,1698">tres</WORD>
<WORD coords="2643,1706,2674,1667,1706">o</WORD>
<WORD coords="2721,1708,2849,1669,1708">mas</WORD>
<WORD coords="2901,1713,3014,1671,1712">nú-</WORD>
</LINE>
<LINE>
<WORD coords="639,1786,840,1742,1784">meros</WORD>
<WORD coords="871,1802,892,1772,1802">t</WORD>
<WORD coords="938,1787,1002,1749,1785">se</WORD>
<WORD coords="1050,1790,1282,1728,1787">hallara</WORD>
<WORD coords="1338,1791,1395,1733,1790">el</WORD>
<WORD coords="1448,1794,1722,1737,1792">máximo</WORD>
<WORD coords="1777,1800,2002,1756,1795">común</WORD>
<WORD coords="2057,1802,2297,1742,1800">divisor</WORD>
<WORD coords="2342,1804,2417,1748,1803">de</WORD>
<WORD coords="2466,1808,2584,1749,1807">dos</WORD>
<WORD coords="2643,1812,2719,1754,1812">de</WORD>
<WORD coords="2778,1817,2868,1760,1814">los</WORD>
<WORD coords="2900,1820,3014,1780,1818">nú-</WORD>
</LINE>
<LINE>
<WORD coords="641,1893,849,1851,1891">meros</WORD>
<WORD coords="896,1894,1090,1835,1893">dados</WORD>
<WORD coords="1117,1909,1135,1859,1909">;</WORD>
<WORD coords="1188,1918,1371,1839,1895">luego</WORD>
<WORD coords="1423,1898,1487,1859,1897">se</WORD>
<WORD coords="1545,1903,1804,1841,1899">buscará</WORD>
<WORD coords="1862,1905,1919,1849,1904">el</WORD>
<WORD coords="1974,1910,2246,1850,1906">máximo</WORD>
<WORD coords="2298,1913,2523,1874,1911">común</WORD>
<WORD coords="2595,1924,2833,1861,1918">divisor</WORD>
<WORD coords="2863,1919,2868,1912,1919">.</WORD>
<WORD coords="2905,1928,3006,1867,1925">del</WORD>
</LINE>
<LINE>
<WORD coords="635,2003,777,1955,2001">otro</WORD>
<WORD coords="825,2003,1087,1963,2001">numero</WORD>
<WORD coords="1141,2020,1182,1965,2016">y</WORD>
<WORD coords="1249,2006,1352,1947,2005">del</WORD>
<WORD coords="1406,2007,1680,1950,2006">máximo</WORD>
<WORD coords="1725,2012,1948,1971,2009">común</WORD>
<WORD coords="2009,2016,2249,1956,2013">divisor</WORD>
<WORD coords="2311,2021,2555,1960,2019">hallado</WORD>
<WORD coords="2585,2030,2601,1990,2027">;</WORD>
<WORD coords="2666,2025,2739,1987,2024">en</WORD>
<WORD coords="2791,2048,2999,1973,2027">seguí-</WORD>
</LINE>
<LINE>
<WORD coords="635,2112,717,2053,2111">da</WORD>
<WORD coords="775,2111,831,2053,2110">el</WORD>
<WORD coords="884,2112,1157,2054,2111">máximo</WORD>
<WORD coords="1205,2115,1433,2074,2112">común</WORD>
<WORD coords="1480,2118,1725,2057,2115">divisor</WORD>
<WORD coords="1786,2118,1884,2061,2117">del</WORD>
<WORD coords="1939,2122,2159,2065,2120">ultimo</WORD>
<WORD coords="2222,2128,2498,2070,2126">máximo</WORD>
<WORD coords="2560,2133,2785,2092,2130">común</WORD>
<WORD coords="2845,2136,3007,2075,2134">divi-</WORD>
</LINE>
<LINE>
<WORD coords="634,2218,741,2177,2216">sor</WORD>
<WORD coords="791,2237,833,2178,2233">y</WORD>
<WORD coords="880,2217,958,2160,2216">de</WORD>
<WORD coords="1008,2218,1146,2172,2216">otro</WORD>
<WORD coords="1201,2222,1467,2181,2220">numero</WORD>
<WORD coords="1508,2223,1671,2165,2222">dado</WORD>
<WORD coords="1702,2238,1718,2212,2238">,</WORD>
<WORD coords="1761,2245,1802,2188,2237">y</WORD>
<WORD coords="1857,2227,1945,2169,2226">asi</WORD>
<WORD coords="2005,2228,2082,2190,2227">en</WORD>
<WORD coords="2128,2235,2438,2172,2231">adelante.</WORD>
<WORD coords="2535,2259,2824,2178,2237">Ejemplo.</WORD>
<WORD coords="2882,2243,3018,2182,2241">Há-</WORD>
</LINE>
<LINE>
<WORD coords="632,2324,785,2264,2322">llese</WORD>
<WORD coords="856,2325,913,2266,2324">el</WORD>
<WORD coords="968,2327,1243,2267,2324">máximo</WORD>
<WORD coords="1294,2329,1520,2288,2327">común</WORD>
<WORD coords="1581,2332,1820,2272,2330">divisor</WORD>
<WORD coords="1882,2334,1961,2276,2333">de</WORD>
<WORD coords="2025,2336,2115,2278,2334">los</WORD>
<WORD coords="2161,2340,2451,2300,2337">numeres</WORD>
<WORD coords="2523,2357,3002,2293,2346">1032,552,403,</WORD>
</LINE>
<LINE>
<WORD coords="630,2451,673,2389,2445">y</WORD>
<WORD coords="721,2432,865,2374,2432">26*.</WORD>
<WORD coords="960,2435,1389,2374,2431">Procediendo</WORD>
<WORD coords="1423,2450,1440,2421,2450">,</WORD>
<WORD coords="1487,2454,1680,2397,2434">según</WORD>
<WORD coords="1740,2439,1804,2400,2438">se</WORD>
<WORD coords="1862,2440,1935,2402,2439">ve</WORD>
<WORD coords="1991,2463,2170,2383,2441">abajo</WORD>
<WORD coords="2207,2460,2227,2432,2453">,</WORD>
<WORD coords="2297,2447,2464,2388,2446">hallo</WORD>
<WORD coords="2525,2468,2643,2414,2450">que</WORD>
<WORD coords="2715,2450,2796,2400,2450">24</WORD>
<WORD coords="2843,2451,2909,2412,2450">es</WORD>
<WORD coords="2956,2455,3017,2395,2452">la</WORD>
</LINE>
<LINE>
<WORD coords="599,2537,908,2477,2535">máxima</WORD>
<WORD coords="951,2539,1177,2497,2536">común</WORD>
<WORD coords="1225,2542,1477,2482,2539">medida</WORD>
<WORD coords="1529,2542,1605,2485,2541">de</WORD>
<WORD coords="1659,2542,1748,2485,2541">los</WORD>
<WORD coords="1796,2546,2010,2502,2545">cuatro</WORD>
<WORD coords="2072,2553,2370,2511,2550">números</WORD>
<WORD coords="2446,2557,2671,2500,2555">dados.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="804,2642,959,2591,2643">1032</WORD>
<WORD coords="994,2668,1011,2588,2668">f</WORD>
<WORD coords="1045,2645,1162,2594,2645">552</WORD>
<WORD coords="1201,2668,1215,2587,2660">|</WORD>
<WORD coords="1250,2646,1372,2596,2646">480</WORD>
<WORD coords="1408,2670,1422,2589,2661">|</WORD>
<WORD coords="1489,2649,1563,2594,2650">72</WORD>
<WORD coords="1631,2673,1644,2592,2659">¡</WORD>
<WORD coords="1704,2650,1783,2599,2650">48</WORD>
<WORD coords="1854,2675,1871,2594,2660">|</WORD>
<WORD coords="1908,2653,1985,2603,2652">24</WORD>
<WORD coords="2016,2669,2033,2621,2663">;</WORD>
<WORD coords="2119,2657,2238,2606,2656">408</WORD>
<WORD coords="2279,2681,2292,2602,2671">|</WORD>
<WORD coords="2356,2661,2434,2611,2660">24</WORD>
<WORD coords="2468,2676,2486,2627,2670">;</WORD>
<WORD coords="2572,2665,2693,2610,2663">264</WORD>
<WORD coords="2731,2684,2744,2604,2673">[</WORD>
<WORD coords="2781,2663,2880,2611,2662">24.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="844,2881,1120,2801,2881">48ÜM</WORD>
<WORD coords="1203,2885,1225,2802,2878">(</WORD>
<WORD coords="1307,2861,1330,2811,2866">1</WORD>
<WORD coords="1416,2879,1430,2804,2870">|</WORD>
<WORD coords="1505,2859,1543,2809,2865">6</WORD>
<WORD coords="1633,2882,1645,2805,2871">|</WORD>
<WORD coords="1728,2863,1752,2813,2866">1</WORD>
<WORD coords="1852,2889,1870,2810,2872">|</WORD>
<WORD coords="1945,2867,1980,2818,2867">2</WORD>
<WORD coords="2143,2871,2253,2820,2869">168</WORD>
<WORD coords="2293,2898,2310,2818,2888">|</WORD>
<WORD coords="2354,2878,2427,2824,2876">17</WORD>
<WORD coords="2638,2878,2717,2828,2877">24</WORD>
<WORD coords="2751,2900,2773,2820,2891">\</WORD>
<WORD coords="2808,2882,2875,2829,2879">lt</WORD>
</LINE>
<LINE>
<WORD coords="1020,2958,1154,2909,2958">W</WORD>
<WORD coords="1203,2992,1218,2910,2976">¡</WORD>
<WORD coords="1258,2959,1388,2909,2959">W</WORD>
<WORD coords="1421,2996,1440,2914,2978">{</WORD>
<WORD coords="1471,2959,1603,2903,2959">W</WORD>
<WORD coords="1640,2995,1651,2921,2978">j</WORD>
<WORD coords="1689,2961,1825,2908,2961">W</WORD>
<WORD coords="1855,3001,1871,2939,2982">j</WORD>
<WORD coords="1909,2964,2045,2915,2961">\^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="988,3072,1013,2996,3065">1</WORD>
<WORD coords="1045,3059,1166,3005,3057">072</WORD>
<WORD coords="1205,3079,1218,3004,3069">|</WORD>
<WORD coords="1253,3056,1331,3008,3057">48</WORD>
<WORD coords="1433,3079,1446,3003,3063">|</WORD>
<WORD coords="1482,3058,1563,3009,3058">24</WORD>
<WORD coords="1635,3081,1651,3039,3064">,</WORD>
<WORD coords="1685,3057,1769,3009,3057">00</WORD>
<WORD coords="2096,3060,2222,3009,3059">000</WORD>
<WORD coords="2626,3068,2711,3010,3067">GO</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="877,3165,1372,3101,3161">Demostrátim.</WORD>
<WORD coords="1462,3165,1665,3106,3164">Como</WORD>
<WORD coords="1711,3166,1780,3109,3166">«1</WORD>
<WORD coords="1827,3170,2102,3111,3168">máximo</WORD>
<WORD coords="2169,3173,2392,3133,3171">común</WORD>
<WORD coords="2453,3177,2697,3117,3173">divisor</WORD>
<WORD coords="2756,3178,3011,3115,3176">cuandé</WORD>
</LINE>
<LINE>
<WORD coords="625,3269,758,3223,3266">mas</WORD>
<WORD coords="788,3266,869,3206,3265">ha</WORD>
<WORD coords="917,3268,996,3210,3267">de</WORD>
<WORD coords="1049,3270,1149,3229,3267">ser</WORD>
<WORD coords="1193,3289,1362,3210,3269">igual</WORD>
<WORD coords="1405,3271,1465,3214,3271">al</WORD>
<WORD coords="1497,3273,1762,3229,3271">número</WORD>
<WORD coords="1806,3292,2046,3235,3274">menor,</WORD>
<WORD coords="2078,3281,2419,3221,3278">dividimos</WORD>
<WORD coords="2467,3283,2522,3226,3282">el</WORD>
<WORD coords="2554,3282,2817,3242,3280">numero</WORD>
<WORD coords="2863,3281,2993,3244,3281">ma.</WORD>
</LINE>
<LINE>
<WORD coords="626,3397,744,3332,3372">yor</WORD>
<WORD coords="798,3373,879,3321,3375">90</WORD>
<WORD coords="927,3393,1034,3334,3372">por</WORD>
<WORD coords="1077,3374,1133,3318,3373">el</WORD>
<WORD coords="1174,3376,1389,3337,3375">menor</WORD>
<WORD coords="1437,3376,1517,3324,3377">63</WORD>
<WORD coords="1552,3395,1569,3365,3395">,</WORD>
<WORD coords="1633,3399,1775,3341,3380">para</WORD>
<WORD coords="1824,3382,1929,3343,3380">ver</WORD>
<WORD coords="1986,3383,2037,3329,3383">si</WORD>
<WORD coords="2099,3387,2176,3329,3385">da</WORD>
<WORD coords="2252,3389,2332,3350,3388">un</WORD>
<WORD coords="2386,3387,2662,3334,3385">cociente</WORD>
<WORD coords="2727,3387,2931,3345,3386">esacto</WORD>
<WORD coords="2971,3403,2995,3350,3403">;</WORD>
</LINE>
<LINE>
<WORD coords="626,3502,782,3442,3479">pues</WORD>
<WORD coords="842,3482,893,3424,3480">si</WORD>
<WORD coords="980,3481,1039,3423,3480">lo</WORD>
<WORD coords="1095,3481,1172,3424,3481">da</WORD>
<WORD coords="1205,3501,1225,3469,3494">,</WORD>
<WORD coords="1285,3487,1643,3425,3483">tendremos</WORD>
<WORD coords="1735,3506,1853,3451,3488">que</WORD>
<WORD coords="1903,3489,1982,3435,3488">63</WORD>
<WORD coords="2044,3492,2179,3453,3490">sera</WORD>
<WORD coords="2279,3493,2336,3437,3492">el</WORD>
<WORD coords="2410,3495,2682,3437,3491">máximo</WORD>
<WORD coords="2764,3493,2992,3454,3490">comua</WORD>
</LINE>
<LINE>
<WORD coords="624,3589,874,3529,3585">divisor</WORD>
<WORD coords="907,3603,925,3574,3603">,</WORD>
<WORD coords="982,3604,1199,3544,3588">puesto</WORD>
<WORD coords="1246,3609,1365,3553,3592">que</WORD>
<WORD coords="1425,3592,1640,3534,3591">divida</WORD>
<WORD coords="1706,3597,2157,3550,3594">ecsactamente</WORD>
<WORD coords="2216,3598,2270,3543,3597">ai</WORD>
<WORD coords="2318,3599,2399,3545,3598">90</WORD>
<WORD coords="2442,3621,2474,3564,3609">y</WORD>
<WORD coords="2530,3598,2557,3547,3598">á</WORD>
<WORD coords="2612,3600,2662,3544,3599">si</WORD>
<WORD coords="2714,3601,2935,3544,3599">mismo</WORD>
<WORD coords="2966,3621,2989,3572,3621">¿</WORD>
</LINE>
<LINE>
<WORD coords="621,3714,993,3634,3691">ejecutando</WORD>
<WORD coords="1025,3695,1080,3639,3694">la</WORD>
<WORD coords="1127,3697,1395,3639,3695">división</WORD>
<WORD coords="1429,3716,1450,3683,3716">f</WORD>
<WORD coords="1481,3699,1709,3642,3698">nesulta</WORD>
<WORD coords="1742,3702,1798,3645,3701">la</WORD>
<WORD coords="1844,3702,2001,3656,3699">resta</WORD>
<WORD coords="2034,3703,2115,3652,3703">27</WORD>
<WORD coords="2172,3704,2234,3647,3703">Si</WORD>
<WORD coords="2302,3707,2490,3649,3705">ahora</WORD>
<WORD coords="2536,3708,2862,3651,3706">buscamos</WORD>
<WORD coords="2909,3707,2999,3664,3706">ua</WORD>
</LINE>
<LINE>
<WORD coords="620,3799,888,3759,3798">numero</WORD>
<WORD coords="920,3818,1038,3761,3797">que</WORD>
<WORD coords="1085,3802,1302,3743,3800">divida</WORD>
<WORD coords="1333,3805,1747,3760,3802">esactamente</WORD>
<WORD coords="1795,3806,1847,3751,3805">al</WORD>
<WORD coords="1864,3807,1947,3755,3807">63</WORD>
<WORD coords="1981,3825,2017,3771,3816">y</WORD>
<WORD coords="2051,3808,2104,3753,3808">al</WORD>
<WORD coords="2138,3811,2217,3757,3811">27</WORD>
<WORD coords="2250,3824,2268,3798,3818">,</WORD>
<WORD coords="2286,3813,2646,3757,3811">tendremos</WORD>
<WORD coords="2680,3831,2798,3776,3812">que</WORD>
<WORD coords="2832,3814,2996,3754,3812">divi-</WORD>
</LINE>
<LINE>
<WORD coords="623,3909,763,3847,3906">dirá</WORD>
<WORD coords="815,3906,1088,3846,3903">también</WORD>
<WORD coords="1146,3906,1198,3849,3903">al</WORD>
<WORD coords="1234,3906,1313,3853,3907">90</WORD>
<WORD coords="1344,3927,1381,3872,3919">y</WORD>
<WORD coords="1428,3908,1478,3858,3907">al</WORD>
<WORD coords="1514,3908,1589,3855,3908">63</WORD>
<WORD coords="1622,3923,1637,3875,3923">;</WORD>
<WORD coords="1688,3928,1796,3874,3910">por</WORD>
<WORD coords="1840,3932,1956,3878,3913">que</WORD>
<WORD coords="1987,3914,2072,3862,3913">90</WORD>
<WORD coords="2100,3915,2163,3879,3914">es</WORD>
<WORD coords="2221,3937,2386,3859,3915">igual</WORD>
<WORD coords="2447,3917,2477,3865,3917">á</WORD>
<WORD coords="2516,3917,2539,3867,3917">1</WORD>
<WORD coords="2582,3945,2645,3879,3933">^</WORD>
<WORD coords="2683,3921,2759,3870,3921">63</WORD>
<WORD coords="2794,3933,2837,3870,3928">+</WORD>
<WORD coords="2869,3924,2950,3870,3923">27</WORD>
<WORD coords="2976,3939,2997,3907,3939">t</WORD>
</LINE>
<LINE>
<WORD coords="624,4033,666,3975,4026">y</WORD>
<WORD coords="718,4011,938,3955,4010">siendo</WORD>
<WORD coords="996,4011,1144,3954,4010">cada</WORD>
<WORD coords="1199,4031,1368,3967,4012">parte</WORD>
<WORD coords="1414,4018,1701,3958,4015">divisible</WORD>
<WORD coords="1763,4039,1873,3982,4019">por</WORD>
<WORD coords="1920,4022,1999,3985,4021">un</WORD>
<WORD coords="2055,4036,2357,3983,4021">numero,</WORD>
<WORD coords="2413,4025,2648,3968,4023">lobera</WORD>
<WORD coords="2685,4027,2738,3972,4025">el</WORD>
<WORD coords="2792,4029,2994,3970,4028">todo*</WORD>
</LINE>
<LINE>
<WORD coords="617,4128,886,4080,4126">reamos</WORD>
<WORD coords="945,4123,999,4062,4123">si</WORD>
<WORD coords="1049,4122,1106,4061,4121">el</WORD>
<WORD coords="1139,4125,1366,4063,4123">mismo</WORD>
<WORD coords="1397,4126,1477,4069,4127">27</WORD>
<WORD coords="1520,4129,1656,4084,4126">6era</WORD>
<WORD coords="1685,4133,1743,4071,4131">el</WORD>
<WORD coords="1784,4132,2023,4071,4130">divisor</WORD>
<WORD coords="2061,4151,2296,4082,4131">esacto,</WORD>
<WORD coords="2325,4154,2475,4092,4134">pero</WORD>
<WORD coords="2519,4157,2890,4077,4135">ejecutando</WORD>
<WORD coords="2938,4142,2998,4081,4140">la</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0056.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0057.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0057.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="209,645,227,593,645">i</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN></PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="185,730,198,709,735">&gt;</WORD>
<WORD coords="221,742,495,680,738">división</WORD>
<WORD coords="535,740,772,681,738">resulta</WORD>
<WORD coords="800,738,853,682,737">el</WORD>
<WORD coords="887,738,1159,682,736">cociente</WORD>
<WORD coords="1193,738,1227,689,739">2</WORD>
<WORD coords="1260,757,1300,700,749">y</WORD>
<WORD coords="1346,741,1564,687,738">sobran</WORD>
<WORD coords="1599,741,1635,689,748">9</WORD>
<WORD coords="1659,755,1676,708,755">;</WORD>
<WORD coords="1737,764,1923,685,742">luego</WORD>
<WORD coords="1984,750,2267,698,745">tenemos</WORD>
<WORD coords="2329,766,2447,711,748">que</WORD>
<WORD coords="2514,751,2593,695,750">63</WORD>
</LINE>
<LINE>
<WORD coords="222,844,284,802,844">«s</WORD>
<WORD coords="319,866,483,789,844">igual</WORD>
<WORD coords="519,846,549,809,846">a</WORD>
<WORD coords="584,844,619,796,847">2</WORD>
<WORD coords="674,862,741,791,861">&gt;&lt;</WORD>
<WORD coords="773,866,956,785,842">27&apos;4-</WORD>
<WORD coords="983,840,1025,793,845">^</WORD>
<WORD coords="1058,857,1070,814,853">;</WORD>
<WORD coords="1106,845,1143,809,845">v</WORD>
<WORD coords="1205,844,1384,808,842">como</WORD>
<WORD coords="1416,844,1496,793,845">90</WORD>
<WORD coords="1549,847,1644,810,845">era</WORD>
<WORD coords="1698,870,1861,793,848">igual</WORD>
<WORD coords="1914,850,1942,797,850">á</WORD>
<WORD coords="1995,850,2068,798,850">63</WORD>
<WORD coords="2210,853,2283,803,853">27</WORD>
<WORD coords="2317,865,2333,842,862">,</WORD>
<WORD coords="2362,860,2586,799,856">resulta</WORD>
</LINE>
<LINE>
<WORD coords="222,952,305,898,952">90</WORD>
<WORD coords="358,972,524,895,951">igual</WORD>
<WORD coords="571,951,597,896,953">á</WORD>
<WORD coords="645,978,1307,885,960">2/27-fl9^27,</WORD>
<WORD coords="1375,951,1436,896,950">Si</WORD>
<WORD coords="1487,954,1672,897,952">ahora</WORD>
<WORD coords="1724,957,1885,898,954">hallo</WORD>
<WORD coords="1940,956,1991,903,955">el</WORD>
<WORD coords="2045,963,2313,900,961">máximo</WORD>
<WORD coords="2361,965,2586,927,963">común</WORD>
</LINE>
<LINE>
<WORD coords="224,1063,577,986,1059">iívisoíMc</WORD>
<WORD coords="610,1059,689,1007,1059">27</WORD>
<WORD coords="738,1078,775,1021,1069">y</WORD>
<WORD coords="832,1058,907,1006,1057">dfe</WORD>
<WORD coords="962,1057,994,1018,1059">y</WORD>
<WORD coords="1023,1075,1041,1048,1068">,</WORD>
<WORD coords="1087,1058,1212,1016,1057">e^te</WORD>
<WORD coords="1267,1058,1326,1003,1057">lo</WORD>
<WORD coords="1371,1058,1503,1020,1057">sera</WORD>
<WORD coords="1560,1062,1826,1005,1059">también</WORD>
<WORD coords="1861,1062,1936,1007,1062">de</WORD>
<WORD coords="1967,1064,2047,1010,1063">90</WORD>
<WORD coords="2075,1086,2113,1029,1076">y</WORD>
<WORD coords="2167,1066,2241,1011,1066">de</WORD>
<WORD coords="2276,1067,2351,1018,1066">63</WORD>
<WORD coords="2389,1083,2404,1060,1083">,</WORD>
<WORD coords="2438,1085,2588,1034,1071">pues</WORD>
</LINE>
<LINE>
<WORD coords="228,1166,576,1109,1163">constando^</WORD>
<WORD coords="614,1164,778,1120,1164">estos</WORD>
<WORD coords="811,1165,925,1109,1163">dos</WORD>
<WORD coords="964,1168,1252,1127,1163">números</WORD>
<WORD coords="1281,1163,1358,1107,1163">de</WORD>
<WORD coords="1418,1179,1616,1120,1163">partes</WORD>
<WORD coords="1664,1185,2031,1114,1166">semejantes</WORD>
<WORD coords="2065,1192,2085,1158,1192">f</WORD>
<WORD coords="2114,1171,2162,1116,1170">si</WORD>
<WORD coords="2226,1179,2375,1119,1175">cada</WORD>
<WORD coords="2421,1195,2586,1136,1178">parte</WORD>
</LINE>
<LINE>
<WORD coords="230,1270,299,1232,1269">es</WORD>
<WORD coords="347,1271,637,1213,1269">divisible</WORD>
<WORD coords="693,1288,805,1232,1269">por</WORD>
<WORD coords="850,1272,926,1234,1270">un</WORD>
<WORD coords="975,1272,1230,1232,1270">numero</WORD>
<WORD coords="1278,1268,1338,1213,1268">lo</WORD>
<WORD coords="1397,1272,1574,1233,1270">serán</WORD>
<WORD coords="1629,1271,1717,1217,1270">los</WORD>
<WORD coords="1765,1275,1942,1219,1273">todos</WORD>
<WORD coords="1979,1290,1992,1243,1285">;</WORD>
<WORD coords="2030,1281,2329,1236,1278">tentemos</WORD>
<WORD coords="2389,1284,2438,1229,1283">si</WORD>
<WORD coords="2532,1288,2591,1233,1287">el</WORD>
</LINE>
<LINE>
<WORD coords="214,1381,273,1323,1379">,9</WORD>
<WORD coords="311,1375,525,1319,1374">divide</WORD>
<WORD coords="580,1376,635,1319,1375">al</WORD>
<WORD coords="682,1389,811,1323,1382">27,</WORD>
<WORD coords="862,1394,1093,1336,1375">porque</WORD>
<WORD coords="1154,1375,1217,1340,1374">es</WORD>
<WORD coords="1252,1377,1467,1320,1375">sabido</WORD>
<WORD coords="1500,1396,1615,1343,1378">que</WORD>
<WORD coords="1644,1380,1701,1323,1378">él</WORD>
<WORD coords="1761,1381,1825,1343,1379">se</WORD>
<WORD coords="1859,1382,2073,1326,1381">divide</WORD>
<WORD coords="2135,1384,2161,1332,1384">á</WORD>
<WORD coords="2216,1391,2265,1333,1389">si</WORD>
<WORD coords="2317,1412,2591,1335,1390">mismo,</WORD>
</LINE>
<LINE>
<WORD coords="227,1507,266,1447,1498">y</WORD>
<WORD coords="300,1486,480,1450,1485">como</WORD>
<WORD coords="530,1489,606,1430,1489">dá</WORD>
<WORD coords="653,1488,734,1447,1487">un</WORD>
<WORD coords="789,1487,1064,1431,1486">cociente</WORD>
<WORD coords="1121,1488,1327,1443,1486">esacto</WORD>
<WORD coords="1363,1501,1378,1477,1497">,</WORD>
<WORD coords="1413,1493,1776,1433,1490">deducimos</WORD>
<WORD coords="1809,1505,1824,1479,1505">,</WORD>
<WORD coords="1873,1509,1991,1456,1492">que</WORD>
<WORD coords="2038,1493,2101,1458,1492">es</WORD>
<WORD coords="2135,1495,2188,1442,1494">el</WORD>
<WORD coords="2225,1498,2492,1444,1497">máximo</WORD>
<WORD coords="2546,1521,2591,1461,1521">y</WORD>
</LINE>
<LINE>
<WORD coords="224,1594,451,1555,1592">común</WORD>
<WORD coords="506,1593,744,1536,1591">divisor</WORD>
<WORD coords="787,1592,865,1535,1592">de</WORD>
<WORD coords="918,1592,1007,1537,1592">ios</WORD>
<WORD coords="1062,1595,1350,1555,1592">números</WORD>
<WORD coords="1406,1595,1601,1538,1594">dados</WORD>
<WORD coords="1657,1596,1738,1545,1596">90</WORD>
<WORD coords="1795,1619,1833,1562,1608">y</WORD>
<WORD coords="1883,1597,1957,1548,1597">63</WORD>
<WORD coords="1997,1611,2012,1567,1611">;</WORD>
<WORD coords="2073,1623,2256,1547,1600">luego</WORD>
<WORD coords="2314,1605,2370,1552,1605">la</WORD>
<WORD coords="2429,1627,2585,1571,1608">ope-</WORD>
</LINE>
<LINE>
<WORD coords="226,1700,436,1642,1699">fácion</WORD>
<WORD coords="483,1701,609,1643,1700">está</WORD>
<WORD coords="654,1703,954,1642,1700">reducida</WORD>
<WORD coords="1011,1701,1040,1648,1701">á</WORD>
<WORD coords="1087,1700,1138,1645,1700">la</WORD>
<WORD coords="1194,1703,1541,1645,1700">resolución</WORD>
<WORD coords="1587,1704,1747,1646,1702">dada</WORD>
<WORD coords="1779,1711,1795,1688,1709">,</WORD>
<WORD coords="1890,1707,1967,1648,1705">L.</WORD>
<WORD coords="2029,1721,2114,1649,1712">Q.</WORD>
<WORD coords="2175,1710,2256,1655,1708">D.</WORD>
<WORD coords="2311,1714,2395,1658,1712">ü.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="394,1869,824,1804,1867">PRUEBAS</WORD>
<WORD coords="874,1868,994,1809,1867">DE</WORD>
<WORD coords="1045,1869,1219,1809,1868">LAS</WORD>
<WORD coords="1278,1870,1667,1809,1868">CUATRO</WORD>
<WORD coords="1734,1879,2419,1813,1874">OPERACIONES.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="389,2036,488,1979,2032">82.</WORD>
<WORD coords="582,2054,843,1968,2030">Djinic.</WORD>
<WORD coords="938,2034,1186,1973,2032">Probar</WORD>
<WORD coords="1244,2033,1369,1993,2032">una</WORD>
<WORD coords="1415,2044,1742,1978,2032">operaron</WORD>
<WORD coords="1788,2035,1849,1998,2034">es</WORD>
<WORD coords="1900,2057,2169,1981,2037">ejecutar</WORD>
<WORD coords="2227,2043,2364,1997,2041">otra</WORD>
<WORD coords="2428,2067,2589,1985,2049">d&apos;ife-</WORD>
</LINE>
<LINE>
<WORD coords="201,2098,208,2088,2120">&apos;</WORD>
<WORD coords="232,2138,269,2094,2140">9</WORD>
<WORD coords="274,2137,408,2089,2135">ente</WORD>
<WORD coords="494,2158,616,2090,2136">por</WORD>
<WORD coords="666,2137,717,2086,2137">lo</WORD>
<WORD coords="774,2140,983,2098,2138">común</WORD>
<WORD coords="1074,2160,1320,2094,2139">opuesta</WORD>
<WORD coords="1373,2143,1409,2106,2143">a</WORD>
<WORD coords="1465,2144,1525,2084,2142">¡a</WORD>
<WORD coords="1561,2165,1879,2088,2145">primera,</WORD>
<WORD coords="1931,2168,2093,2101,2146">para</WORD>
<WORD coords="2151,2149,2325,2092,2147">saber</WORD>
<WORD coords="2383,2151,2438,2098,2151">si</WORD>
<WORD coords="2494,2152,2587,2115,2152">es-</WORD>
</LINE>
<LINE>
<WORD coords="230,2245,295,2189,2244">ta</WORD>
<WORD coords="346,2245,407,2208,2243">es</WORD>
<WORD coords="455,2245,658,2197,2243">esacia</WORD>
<WORD coords="687,2250,710,2211,2250">;</WORD>
<WORD coords="764,2246,826,2188,2245">Si</WORD>
<WORD coords="900,2245,954,2190,2244">la</WORD>
<WORD coords="1007,2265,1336,2193,2247">operación</WORD>
<WORD coords="1403,2250,1468,2214,2249">es</WORD>
<WORD coords="1528,2250,1609,2194,2249">de</WORD>
<WORD coords="1685,2277,2161,2199,2252">composición,</WORD>
<WORD coords="2215,2257,2276,2222,2257">se</WORD>
<WORD coords="2329,2276,2586,2204,2258">probará</WORD>
</LINE>
<LINE>
<WORD coords="226,2371,346,2309,2349">por</WORD>
<WORD coords="405,2352,461,2296,2350">la</WORD>
<WORD coords="521,2369,1058,2293,2351">descomposición</WORD>
<WORD coords="1102,2375,1144,2318,2366">y</WORD>
<WORD coords="1214,2355,1269,2299,2355">al</WORD>
<WORD coords="1324,2359,1649,2302,2357">contrario.</WORD>
<WORD coords="1744,2360,1835,2303,2360">La</WORD>
<WORD coords="1894,2378,2226,2297,2361">operación</WORD>
<WORD coords="2271,2384,2383,2328,2366">por</WORD>
<WORD coords="2449,2369,2582,2329,2368">me-</WORD>
</LINE>
<LINE>
<WORD coords="219,2457,331,2398,2456">dio</WORD>
<WORD coords="379,2458,455,2402,2457">de</WORD>
<WORD coords="503,2459,559,2405,2456">la</WORD>
<WORD coords="600,2458,733,2402,2456">cual</WORD>
<WORD coords="784,2457,846,2421,2457">se</WORD>
<WORD coords="906,2461,1063,2401,2459">hace</WORD>
<WORD coords="1111,2477,1284,2420,2460">esto,</WORD>
<WORD coords="1329,2464,1393,2428,2463">se</WORD>
<WORD coords="1426,2465,1608,2409,2464">llama</WORD>
<WORD coords="1649,2487,1909,2410,2465">prueba.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="351,2562,448,2511,2563">83,</WORD>
<WORD coords="541,2565,633,2506,2564">La</WORD>
<WORD coords="687,2563,859,2525,2562">suma</WORD>
<WORD coords="912,2566,1117,2519,2564">estara</WORD>
<WORD coords="1171,2572,1305,2511,2568">bien</WORD>
<WORD coords="1371,2571,1557,2516,2569">hecha</WORD>
<WORD coords="1588,2583,1603,2562,2579">,</WORD>
<WORD coords="1630,2576,1857,2520,2574">cuando</WORD>
<WORD coords="1913,2581,2194,2525,2578">restando</WORD>
<WORD coords="2233,2581,2302,2521,2580">Je</WORD>
<WORD coords="2362,2585,2475,2526,2582">ella</WORD>
<WORD coords="2524,2588,2614,2528,2585">In-</WORD>
</LINE>
<LINE>
<WORD coords="221,2668,394,2629,2667">suma</WORD>
<WORD coords="452,2668,523,2612,2668">de</WORD>
<WORD coords="583,2671,746,2615,2669">todos</WORD>
<WORD coords="804,2673,888,2616,2671">los</WORD>
<WORD coords="935,2674,1256,2618,2672">sumandos</WORD>
<WORD coords="1312,2678,1509,2640,2677">menos</WORD>
<WORD coords="1557,2682,1637,2643,2681">un</WORD>
<WORD coords="1697,2684,1984,2628,2682">sumando</WORD>
<WORD coords="2017,2700,2032,2675,2694">,</WORD>
<WORD coords="2079,2689,2307,2643,2686">resulte</WORD>
<WORD coords="2366,2690,2421,2636,2690">¡a</WORD>
<WORD coords="2485,2690,2586,2635,2689">di-</WORD>
</LINE>
<LINE>
<WORD coords="208,2797,499,2714,2774">ferencia</WORD>
<WORD coords="544,2797,718,2719,2775">igual</WORD>
<WORD coords="763,2776,828,2723,2775">al</WORD>
<WORD coords="868,2779,1157,2724,2778">sumando</WORD>
<WORD coords="1204,2806,1316,2744,2781">que</WORD>
<WORD coords="1372,2782,1435,2747,2782">se</WORD>
<WORD coords="1490,2787,1732,2749,2785">reservo</WORD>
<WORD coords="1767,2795,1787,2753,2791">;</WORD>
<WORD coords="1861,2787,1912,2754,2787">v.</WORD>
<WORD coords="1979,2814,2036,2755,2799">g.</WORD>
<WORD coords="2097,2793,2194,2758,2792">sea</WORD>
<WORD coords="2245,2796,2276,2748,2796">5</WORD>
<WORD coords="2327,2809,2352,2745,2796">}•</WORD>
<WORD coords="2388,2797,2417,2751,2797">3</WORD>
<WORD coords="2465,2811,2581,2745,2806">+8</WORD>
</LINE>
<LINE>
<WORD coords="223,2879,327,2860,2886">~</WORD>
<WORD coords="372,2881,437,2829,2885">16</WORD>
<WORD coords="489,2899,505,2849,2896">;</WORD>
<WORD coords="569,2884,620,2829,2883">si</WORD>
<WORD coords="681,2886,859,2848,2885">sumo</WORD>
<WORD coords="920,2885,952,2836,2889">3</WORD>
<WORD coords="1010,2909,1047,2851,2901">y</WORD>
<WORD coords="1097,2889,1130,2840,2891">8</WORD>
<WORD coords="1182,2888,1237,2837,2887">lo</WORD>
<WORD coords="1297,2909,1412,2855,2892">que</WORD>
<WORD coords="1462,2893,1558,2857,2892">me</WORD>
<WORD coords="1607,2894,1683,2838,2894">da</WORD>
<WORD coords="1736,2897,1800,2847,2897">11</WORD>
<WORD coords="1836,2913,1850,2831,2913">\</WORD>
<WORD coords="1879,2917,1916,2862,2909">y</WORD>
<WORD coords="1973,2902,2100,2859,2900">este</WORD>
<WORD coords="2159,2905,2415,2868,2902">numero</WORD>
<WORD coords="2451,2905,2577,2869,2904">res-</WORD>
</LINE>
<LINE>
<WORD coords="220,2988,283,2941,2987">to</WORD>
<WORD coords="341,2988,418,2932,2988">de</WORD>
<WORD coords="475,2990,547,2937,2993">16</WORD>
<WORD coords="580,3003,596,2979,3001">,</WORD>
<WORD coords="641,2993,856,2935,2990">tendré</WORD>
<WORD coords="916,2995,992,2937,2994">de</WORD>
<WORD coords="1040,2998,1382,2937,2995">diferencia</WORD>
<WORD coords="1433,2999,1466,2951,2999">5</WORD>
<WORD coords="1503,3002,1517,2965,3002">:</WORD>
<WORD coords="1575,3022,1615,2964,3013">y</WORD>
<WORD coords="1668,3004,1847,2966,3002">como</WORD>
<WORD coords="1893,3003,1946,2949,3003">el</WORD>
<WORD coords="2000,3010,2255,2971,3008">numero</WORD>
<WORD coords="2313,3027,2429,2976,3012">que</WORD>
<WORD coords="2478,3012,2574,2975,3010">re-</WORD>
</LINE>
<LINE>
<WORD coords="222,3096,406,3043,3093">servé</WORD>
<WORD coords="452,3097,518,3059,3096">es</WORD>
<WORD coords="572,3099,845,3041,3098">también</WORD>
<WORD coords="897,3119,977,3050,3113">5,</WORD>
<WORD coords="1031,3125,1333,3047,3102">concluyo</WORD>
<WORD coords="1405,3127,1525,3070,3108">que</WORD>
<WORD coords="1585,3109,1663,3073,3108">no</WORD>
<WORD coords="1720,3113,1798,3053,3112">ha</WORD>
<WORD coords="1846,3116,2076,3057,3114">habido</WORD>
<WORD coords="2160,3118,2332,3080,3116">error</WORD>
<WORD coords="2400,3118,2473,3083,3117">en</WORD>
<WORD coords="2519,3122,2580,3065,3120">la</WORD>
</LINE>
<LINE>
<WORD coords="219,3203,416,3163,3201">suma.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="464,3310,557,3251,3309">La</WORD>
<WORD coords="608,3317,795,3274,3314">razón</WORD>
<WORD coords="843,3318,921,3259,3317">de</WORD>
<WORD coords="971,3320,1103,3273,3318">esto</WORD>
<WORD coords="1154,3336,1256,3283,3320">es,</WORD>
<WORD coords="1294,3341,1413,3284,3323">que</WORD>
<WORD coords="1463,3323,1515,3268,3322">ia</WORD>
<WORD coords="1563,3327,1734,3288,3326">suma</WORD>
<WORD coords="1793,3330,1863,3277,3329">16</WORD>
<WORD coords="1911,3331,1974,3296,3330">es</WORD>
<WORD coords="2041,3334,2120,3296,3332">un</WORD>
<WORD coords="2192,3334,2218,3289,3334">t</WORD>
<WORD coords="2265,3335,2342,3279,3333">do</WORD>
<WORD coords="2390,3356,2576,3295,3336">cuyas</WORD>
</LINE>
<LINE>
<WORD coords="215,3433,422,3371,3414">partes</WORD>
<WORD coords="468,3436,767,3362,3420">pedemos</WORD>
<WORD coords="821,3427,1070,3369,3425">reducir</WORD>
<WORD coords="1125,3426,1152,3373,3428">á</WORD>
<WORD coords="1211,3429,1322,3373,3428">dos</WORD>
<WORD coords="1360,3441,1376,3418,3436">,</WORD>
<WORD coords="1431,3431,1548,3394,3430">una</WORD>
<WORD coords="1597,3432,1651,3378,3431">el</WORD>
<WORD coords="1718,3438,1977,3397,3436">numero</WORD>
<WORD coords="2028,3444,2360,3388,3440">reservado</WORD>
<WORD coords="2394,3444,2426,3396,3444">5</WORD>
<WORD coords="2463,3456,2477,3435,3456">,</WORD>
<WORD coords="2531,3465,2574,3410,3465">y</WORD>
</LINE>
<LINE>
<WORD coords="214,3521,345,3476,3520">otra</WORD>
<WORD coords="391,3523,444,3466,3521">ia</WORD>
<WORD coords="506,3528,680,3489,3525">suma</WORD>
<WORD coords="718,3530,781,3481,3531">11</WORD>
<WORD coords="823,3532,900,3475,3531">de</WORD>
<WORD coords="954,3532,1047,3476,3531">los</WORD>
<WORD coords="1101,3535,1314,3477,3533">demás</WORD>
<WORD coords="1369,3538,1704,3482,3535">sumandos</WORD>
<WORD coords="1762,3559,1878,3507,3543">que</WORD>
<WORD coords="1918,3545,2024,3510,3543">son</WORD>
<WORD coords="2089,3546,2120,3499,3546">3</WORD>
<WORD coords="2166,3568,2203,3512,3558">y</WORD>
<WORD coords="2257,3548,2287,3502,3548">8</WORD>
<WORD coords="2321,3563,2335,3515,3563">;</WORD>
<WORD coords="2389,3573,2567,3500,3549">luego</WORD>
</LINE>
<LINE>
<WORD coords="213,3627,269,3569,3626">si</WORD>
<WORD coords="320,3628,395,3572,3626">de</WORD>
<WORD coords="452,3633,580,3587,3631">este</WORD>
<WORD coords="625,3635,777,3579,3634">todo</WORD>
<WORD coords="862,3656,1174,3582,3639">quitamos</WORD>
<WORD coords="1236,3642,1291,3586,3641">la</WORD>
<WORD coords="1347,3660,1511,3597,3641">parte</WORD>
<WORD coords="1564,3644,1627,3595,3644">11</WORD>
<WORD coords="1663,3669,1684,3633,3659">,</WORD>
<WORD coords="1764,3650,1874,3612,3649">n^s</WORD>
<WORD coords="1949,3656,2176,3596,3654">deberá</WORD>
<WORD coords="2255,3663,2428,3607,3659">venir</WORD>
<WORD coords="2489,3665,2566,3606,3664">de</WORD>
</LINE>
<LINE>
<WORD coords="226,3738,566,3675,3735">diferencia</WORD>
<WORD coords="625,3740,683,3684,3740">Ja</WORD>
<WORD coords="741,3745,873,3697,3743">otra</WORD>
<WORD coords="913,3764,1080,3703,3745">parte</WORD>
<WORD coords="1140,3751,1199,3698,3748">5.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="314,3844,414,3791,3846">84.</WORD>
<WORD coords="505,3847,597,3787,3845">La</WORD>
<WORD coords="657,3850,822,3805,3848">resta</WORD>
<WORD coords="869,3853,940,3796,3852">de</WORD>
<WORD coords="998,3856,1101,3802,3855">dos</WORD>
<WORD coords="1188,3862,1466,3820,3858">números</WORD>
<WORD coords="1521,3862,1724,3815,3860">estara</WORD>
<WORD coords="1798,3865,1927,3808,3864">bien</WORD>
<WORD coords="1978,3872,2164,3813,3869">hecha</WORD>
<WORD coords="2197,3888,2211,3863,3881">,</WORD>
<WORD coords="2242,3875,2389,3839,3874">cuati</WORD>
<WORD coords="2428,3874,2461,3823,3874">V</WORD>
<WORD coords="2512,3877,2568,3822,3874">la</WORD>
</LINE>
<LINE>
<WORD coords="215,3947,386,3905,3944">•urna</WORD>
<WORD coords="425,3950,496,3893,3949">de</WORD>
<WORD coords="539,3953,596,3897,3951">la</WORD>
<WORD coords="654,3958,868,3900,3955">misma</WORD>
<WORD coords="926,3961,1092,3915,3960">resta</WORD>
<WORD coords="1150,3966,1255,3926,3963">con</WORD>
<WORD coords="1315,3964,1367,3910,3961">el</WORD>
<WORD coords="1407,3970,1767,3916,3966">sustraendo</WORD>
<WORD coords="1797,3986,1812,3958,3979">,</WORD>
<WORD coords="1855,3973,1958,3936,3971">sea</WORD>
<WORD coords="2005,3998,2181,3920,3976">igual</WORD>
<WORD coords="2205,3984,2265,3934,3981">ai</WORD>
<WORD coords="2293,3984,2561,3880,3982">mimJn*</WORD>
</LINE>
<LINE>
<WORD coords="218,4054,318,3992,4046">do.</WORD>
<WORD coords="408,4056,522,3999,4055">Sea</WORD>
<WORD coords="567,4059,620,4004,4058">la</WORD>
<WORD coords="682,4078,997,4007,4062">espresion</WORD>
<WORD coords="1059,4066,1090,4019,4068">8</WORD>
<WORD coords="1121,4060,1202,4046,4065">_</WORD>
<WORD coords="1230,4068,1261,4023,4069">5</WORD>
<WORD coords="1294,4070,1402,4030,4069">=5</WORD>
<WORD coords="1433,4071,1462,4025,4071">3</WORD>
<WORD coords="1497,4090,1512,4039,4083">;</WORD>
<WORD coords="1569,4076,1618,4020,4075">si</WORD>
<WORD coords="1673,4076,1727,4022,4074">la</WORD>
<WORD coords="1794,4082,1955,4038,4079">resta</WORD>
<WORD coords="2036,4081,2063,4033,4081">3</WORD>
<WORD coords="2122,4087,2296,4049,4084">sumo</WORD>
<WORD coords="2345,4086,2452,4051,4085">con</WORD>
<WORD coords="2502,4089,2560,4035,4089">el</WORD>
</LINE>
<LINE>
<WORD coords="218,4166,594,4104,4161">•ustratndo</WORD>
<WORD coords="649,4167,684,4116,4174">5</WORD>
<WORD coords="723,4188,742,4153,4184">,</WORD>
<WORD coords="797,4173,897,4132,4171">roe</WORD>
<WORD coords="954,4182,1184,4118,4177">vendrá</WORD>
<WORD coords="1254,4198,1334,4129,4191">8,</WORD>
<WORD coords="1383,4201,1499,4144,4181">c¿ue</WORD>
<WORD coords="1561,4186,1742,4146,4184">como</WORD>
<WORD coords="1785,4186,1850,4150,4186">es</WORD>
<WORD coords="1892,4188,1949,4132,4188">el</WORD>
<WORD coords="1994,4211,2376,4132,4191">minuendo,</WORD>
<WORD coords="2413,4199,2555,4160,4196">cea-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0057.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0058.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0058.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1708,562,1860,470,561">48</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="603,696,790,617,673">cluyo</WORD>
<WORD coords="837,692,956,636,675">que</WORD>
<WORD coords="1014,674,1138,617,672">está</WORD>
<WORD coords="1192,676,1332,617,675">bien</WORD>
<WORD coords="1379,680,1576,619,678">hecha</WORD>
<WORD coords="1621,682,1676,624,680">la</WORD>
<WORD coords="1725,704,2080,628,684">operación.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="849,782,942,723,781">La</WORD>
<WORD coords="1028,784,1218,745,781">razón</WORD>
<WORD coords="1274,785,1350,728,784">de</WORD>
<WORD coords="1414,788,1552,742,786">esto</WORD>
<WORD coords="1616,790,1681,752,789">es</WORD>
<WORD coords="1716,806,1748,735,806">¿</WORD>
<WORD coords="1805,813,2040,753,793">porque</WORD>
<WORD coords="2099,795,2154,737,794">el</WORD>
<WORD coords="2234,801,2573,739,798">minuendo</WORD>
<WORD coords="2624,802,2690,760,801">se</WORD>
<WORD coords="2763,822,2966,746,810">pueáe</WORD>
</LINE>
<LINE>
<WORD coords="593,905,1044,832,887">descomponer</WORD>
<WORD coords="1076,888,1148,853,887">en</WORD>
<WORD coords="1194,891,1309,833,889">dos</WORD>
<WORD coords="1354,910,1552,847,893">partes</WORD>
<WORD coords="1597,918,1739,838,907">(58)</WORD>
<WORD coords="1773,914,1790,885,907">,</WORD>
<WORD coords="1837,900,1953,861,898">una</WORD>
<WORD coords="1990,922,2153,845,900">&lt;gual</WORD>
<WORD coords="2199,901,2256,842,901">al</WORD>
<WORD coords="2310,907,2589,859,904">sustraen</WORD>
<WORD coords="2608,911,2677,852,909">lo</WORD>
<WORD coords="2710,932,2751,873,925">y</WORD>
<WORD coords="2814,918,2951,871,913">otra</WORD>
</LINE>
<LINE>
<WORD coords="599,1015,769,939,994">igual</WORD>
<WORD coords="819,995,845,945,1000">á</WORD>
<WORD coords="908,994,958,941,994">la</WORD>
<WORD coords="996,998,1333,937,996">diferencia</WORD>
<WORD coords="1369,1000,1385,961,1002">:</WORD>
<WORD coords="1466,1022,1649,945,998">luego</WORD>
<WORD coords="1701,1006,2044,948,1002">reuniendo</WORD>
<WORD coords="2099,1009,2157,953,1008">el</WORD>
<WORD coords="2214,1017,2578,950,1011">sustraendo</WORD>
<WORD coords="2620,1037,2661,978,1027">y</WORD>
<WORD coords="2742,1018,2800,961,1017">la</WORD>
<WORD coords="2858,1019,2957,961,1018">di-</WORD>
</LINE>
<LINE>
<WORD coords="596,1102,870,1043,1098">ferencia</WORD>
<WORD coords="919,1100,1030,1064,1099">nos</WORD>
<WORD coords="1086,1103,1128,1046,1103">á</WORD>
<WORD coords="1138,1086,1145,1071,1086">1</WORD>
<WORD coords="1171,1104,1244,1046,1103">be</WORD>
<WORD coords="1290,1106,1551,1049,1100">resultar</WORD>
<WORD coords="1610,1107,1664,1053,1107">el</WORD>
<WORD coords="1718,1115,2080,1053,1110">minuendo</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="688,1206,798,1158,1209">85.</WORD>
<WORD coords="889,1209,1122,1150,1207">Estara</WORD>
<WORD coords="1165,1211,1295,1153,1209">bien</WORD>
<WORD coords="1331,1212,1518,1156,1211">hecha</WORD>
<WORD coords="1572,1214,1629,1162,1213">la</WORD>
<WORD coords="1675,1237,1994,1170,1215">operación</WORD>
<WORD coords="2041,1220,2112,1161,1220">de</WORD>
<WORD coords="2163,1248,2537,1164,1222">multiplicar</WORD>
<WORD coords="2576,1240,2592,1215,1236">,</WORD>
<WORD coords="2632,1232,2864,1174,1230">cuando</WORD>
<WORD coords="2897,1235,2957,1174,1233">el</WORD>
</LINE>
<LINE>
<WORD coords="590,1335,891,1257,1314">producto</WORD>
<WORD coords="950,1318,1218,1258,1315">dividido</WORD>
<WORD coords="1249,1339,1369,1269,1318">por</WORD>
<WORD coords="1423,1321,1503,1276,1320">Un</WORD>
<WORD coords="1539,1341,1760,1263,1324">factor</WORD>
<WORD coords="1792,1342,1809,1311,1334">,</WORD>
<WORD coords="1859,1326,1936,1269,1325">da</WORD>
<WORD coords="1994,1326,2065,1270,1326">de</WORD>
<WORD coords="2109,1331,2373,1274,1328">cociente</WORD>
<WORD coords="2415,1333,2474,1275,1332">el</WORD>
<WORD coords="2521,1335,2652,1286,1333">otro</WORD>
<WORD coords="2703,1357,2949,1277,1339">factor.</WORD>
</LINE>
<LINE>
<WORD coords="597,1422,719,1363,1421">Sea</WORD>
<WORD coords="778,1420,832,1366,1418">la</WORD>
<WORD coords="877,1443,1197,1367,1422">e?presion</WORD>
<WORD coords="1230,1425,1271,1373,1428">4</WORD>
<WORD coords="1323,1447,1394,1373,1447">X</WORD>
<WORD coords="1417,1427,1449,1379,1429">5</WORD>
<WORD coords="1479,1426,1588,1379,1426">SSS</WORD>
<WORD coords="1614,1429,1689,1379,1428">20</WORD>
<WORD coords="1696,1444,1739,1391,1439">j</WORD>
<WORD coords="1786,1435,1830,1377,1432">si</WORD>
<WORD coords="1890,1435,2112,1376,1433">divido</WORD>
<WORD coords="2184,1439,2264,1388,1438">20</WORD>
<WORD coords="2331,1457,2443,1401,1438">por</WORD>
<WORD coords="2498,1442,2540,1389,1442">4</WORD>
<WORD coords="2589,1442,2804,1385,1441">tendré</WORD>
<WORD coords="2890,1445,2950,1383,1444">el</WORD>
</LINE>
<LINE>
<WORD coords="589,1528,869,1471,1527">cociente</WORD>
<WORD coords="914,1528,949,1477,1533">5</WORD>
<WORD coords="989,1541,1006,1516,1540">,</WORD>
<WORD coords="1053,1529,1090,1493,1529">o</WORD>
<WORD coords="1143,1530,1194,1475,1529">si</WORD>
<WORD coords="1241,1532,1301,1476,1531">lo</WORD>
<WORD coords="1370,1537,1586,1478,1535">divido</WORD>
<WORD coords="1640,1555,1747,1501,1536">por</WORD>
<WORD coords="1795,1537,1832,1489,1538">5</WORD>
<WORD coords="1887,1543,1984,1504,1542">me</WORD>
<WORD coords="2045,1544,2277,1486,1543">vendrá</WORD>
<WORD coords="2337,1544,2392,1490,1544">el</WORD>
<WORD coords="2444,1551,2719,1492,1548">cociente</WORD>
<WORD coords="2777,1552,2819,1497,1552">4</WORD>
<WORD coords="2851,1574,2945,1513,1569">;y</WORD>
</LINE>
<LINE>
<WORD coords="585,1639,770,1600,1637">como</WORD>
<WORD coords="825,1638,902,1581,1638">de</WORD>
<WORD coords="948,1640,1183,1581,1638">dividir</WORD>
<WORD coords="1232,1659,1343,1602,1639">por</WORD>
<WORD coords="1391,1642,1470,1604,1642">un</WORD>
<WORD coords="1526,1645,1725,1587,1644">factor</WORD>
<WORD coords="1754,1654,1774,1624,1652">,</WORD>
<WORD coords="1822,1650,2053,1594,1647">resulta</WORD>
<WORD coords="2086,1651,2164,1591,1650">de</WORD>
<WORD coords="2218,1655,2492,1594,1652">cociente</WORD>
<WORD coords="2538,1655,2595,1599,1655">el</WORD>
<WORD coords="2647,1657,2782,1611,1656">otro</WORD>
<WORD coords="2817,1662,2949,1598,1658">fac-</WORD>
</LINE>
<LINE>
<WORD coords="579,1752,681,1701,1750">tor</WORD>
<WORD coords="709,1765,727,1736,1759">,</WORD>
<WORD coords="777,1749,991,1692,1748">infiero</WORD>
<WORD coords="1035,1770,1154,1714,1751">que</WORD>
<WORD coords="1198,1752,1255,1696,1751">el</WORD>
<WORD coords="1308,1772,1606,1698,1755">producto</WORD>
<WORD coords="1653,1758,1719,1719,1757">es</WORD>
<WORD coords="1777,1758,1832,1701,1757">el</WORD>
<WORD coords="1890,1762,2257,1704,1759">verdadero*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="832,1857,926,1799,1856">La</WORD>
<WORD coords="982,1859,1171,1820,1857">razón</WORD>
<WORD coords="1229,1858,1294,1822,1857">es</WORD>
<WORD coords="1328,1882,1350,1844,1882">,</WORD>
<WORD coords="1409,1884,1641,1825,1862">porque</WORD>
<WORD coords="1687,1866,1744,1808,1865">el</WORD>
<WORD coords="1790,1884,2093,1810,1865">produrto</WORD>
<WORD coords="2149,1873,2294,1829,1870">resn</WORD>
<WORD coords="2298,1850,2314,1814,1850">7</WORD>
<WORD coords="2321,1872,2380,1824,1870">ta</WORD>
<WORD coords="2431,1872,2509,1815,1872">de</WORD>
<WORD coords="2567,1875,2770,1826,1873">tomar</WORD>
<WORD coords="2812,1877,2947,1829,1875">tan«</WORD>
</LINE>
<LINE>
<WORD coords="585,1965,680,1917,1964">tas</WORD>
<WORD coords="730,1965,912,1928,1964">veces</WORD>
<WORD coords="960,1965,1014,1909,1964">el</WORD>
<WORD coords="1070,1985,1544,1912,1966">multiplicando</WORD>
<WORD coords="1580,1987,1598,1958,1980">,</WORD>
<WORD coords="1660,1971,1839,1934,1970">como</WORD>
<WORD coords="1884,1979,2190,1915,1973">unidades</WORD>
<WORD coords="2248,1977,2411,1919,1975">tiene</WORD>
<WORD coords="2464,1979,2518,1923,1978">el</WORD>
<WORD coords="2571,1994,2946,1924,1980">multiplica-</WORD>
</LINE>
<LINE>
<WORD coords="577,2075,695,2016,2072">dor</WORD>
<WORD coords="728,2083,746,2038,2080">;</WORD>
<WORD coords="822,2073,1009,2014,2072">¿.hora</WORD>
<WORD coords="1042,2090,1060,2061,2084">,</WORD>
<WORD coords="1105,2075,1345,2018,2073">cuando</WORD>
<WORD coords="1393,2092,1727,2036,2075">queremos</WORD>
<WORD coords="1782,2098,2011,2022,2078">probar</WORD>
<WORD coords="2049,2080,2103,2024,2080">si</WORD>
<WORD coords="2159,2081,2214,2024,2081">el</WORD>
<WORD coords="2261,2102,2563,2027,2082">producto</WORD>
<WORD coords="2611,2086,2673,2048,2085">es</WORD>
<WORD coords="2707,2086,2759,2020,2085">el</WORD>
<WORD coords="2811,2085,2947,2047,2084">ver-</WORD>
</LINE>
<LINE>
<WORD coords="574,2183,811,2124,2181">dadero</WORD>
<WORD coords="850,2196,866,2170,2190">,</WORD>
<WORD coords="892,2181,1186,2135,2179">tratamos</WORD>
<WORD coords="1243,2181,1319,2123,2180">de</WORD>
<WORD coords="1387,2182,1496,2145,2181">ver</WORD>
<WORD coords="1553,2184,1604,2129,2183">si</WORD>
<WORD coords="1658,2184,1731,2144,2183">en</WORD>
<WORD coords="1788,2185,1839,2128,2184">la</WORD>
<WORD coords="1939,2188,2224,2129,2186">realidad</WORD>
<WORD coords="2295,2190,2365,2154,2190">se</WORD>
<WORD coords="2424,2190,2502,2131,2189">ha</WORD>
<WORD coords="2552,2193,2809,2136,2191">tomado</WORD>
<WORD coords="2862,2193,2948,2153,2192">un</WORD>
</LINE>
<LINE>
<WORD coords="576,2288,777,2229,2287">factor</WORD>
<WORD coords="866,2289,1063,2243,2288">tantas</WORD>
<WORD coords="1110,2292,1288,2249,2289">veces</WORD>
<WORD coords="1334,2289,1514,2251,2288">como</WORD>
<WORD coords="1571,2293,1873,2228,2290">unidades</WORD>
<WORD coords="1928,2293,2091,2235,2292">tiene</WORD>
<WORD coords="2147,2294,2202,2237,2294">el</WORD>
<WORD coords="2252,2297,2387,2250,2295">otro</WORD>
<WORD coords="2418,2314,2435,2283,2305">,</WORD>
<WORD coords="2475,2297,2512,2241,2297">ó</WORD>
<WORD coords="2575,2297,2636,2243,2297">lo</WORD>
<WORD coords="2685,2316,2806,2260,2298">que</WORD>
<WORD coords="2876,2299,2945,2260,2298">es</WORD>
</LINE>
<LINE>
<WORD coords="576,2396,640,2337,2395">lo</WORD>
<WORD coords="686,2396,913,2337,2395">mismo</WORD>
<WORD coords="945,2412,963,2383,2405">,</WORD>
<WORD coords="1006,2397,1224,2339,2396">damos</WORD>
<WORD coords="1269,2396,1325,2338,2395">el</WORD>
<WORD coords="1380,2416,1683,2340,2396">producto</WORD>
<WORD coords="1738,2419,1776,2361,2410">y</WORD>
<WORD coords="1834,2401,1915,2362,2400">un</WORD>
<WORD coords="1975,2403,2172,2342,2399">Tactor</WORD>
<WORD coords="2210,2414,2226,2388,2414">,</WORD>
<WORD coords="2255,2419,2398,2364,2401">para</WORD>
<WORD coords="2444,2404,2638,2347,2403">hallar</WORD>
<WORD coords="2691,2404,2745,2348,2403">el</WORD>
<WORD coords="2779,2406,2940,2356,2402">otros</WORD>
</LINE>
<LINE>
<WORD coords="575,2526,728,2465,2505">pero</WORD>
<WORD coords="783,2505,910,2459,2504">esta</WORD>
<WORD coords="966,2522,1296,2447,2503">operación</WORD>
<WORD coords="1341,2503,1409,2468,2503">es</WORD>
<WORD coords="1456,2505,1512,2450,2504">la</WORD>
<WORD coords="1564,2508,1789,2450,2505">misma</WORD>
<WORD coords="1843,2526,1961,2469,2507">que</WORD>
<WORD coords="2022,2527,2167,2451,2515">¡65)</WORD>
<WORD coords="2215,2512,2453,2453,2510">dividir</WORD>
<WORD coords="2501,2511,2558,2451,2509">el</WORD>
<WORD coords="2623,2528,2929,2452,2509">producto</WORD>
</LINE>
<LINE>
<WORD coords="575,2635,691,2573,2612">por</WORD>
<WORD coords="745,2610,796,2558,2609">el</WORD>
<WORD coords="847,2612,1049,2553,2611">factor</WORD>
<WORD coords="1097,2612,1235,2555,2611">dad&lt;</WORD>
<WORD coords="1286,2626,1303,2576,2626">;</WORD>
<WORD coords="1350,2635,1533,2556,2612">luego</WORD>
<WORD coords="1581,2632,1694,2556,2613">&amp;c,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="754,2719,852,2666,2719">86.</WORD>
<WORD coords="938,2720,1029,2663,2720">La</WORD>
<WORD coords="1066,2740,1302,2662,2718">prueba</WORD>
<WORD coords="1359,2720,1430,2665,2720">de</WORD>
<WORD coords="1482,2722,1538,2665,2720">la</WORD>
<WORD coords="1587,2721,1851,2662,2719">división</WORD>
<WORD coords="1902,2723,1967,2685,2722">se</WORD>
<WORD coords="2008,2726,2158,2668,2724">hace</WORD>
<WORD coords="2189,2742,2207,2714,2742">,</WORD>
<WORD coords="2259,2749,2709,2667,2724">multiplicando</WORD>
<WORD coords="2756,2722,2811,2664,2721">el</WORD>
<WORD coords="2850,2727,2945,2685,2724">co-</WORD>
</LINE>
<LINE>
<WORD coords="575,2831,781,2782,2829">cíente</WORD>
<WORD coords="820,2850,940,2782,2827">por</WORD>
<WORD coords="986,2826,1041,2772,2825">el</WORD>
<WORD coords="1090,2826,1324,2769,2825">divisor</WORD>
<WORD coords="1356,2832,1378,2790,2832">;</WORD>
<WORD coords="1422,2845,1461,2788,2837">y</WORD>
<WORD coords="1521,2826,1574,2772,2826">si</WORD>
<WORD coords="1630,2826,1754,2782,2825">este</WORD>
<WORD coords="1787,2849,2085,2774,2829">producto</WORD>
<WORD coords="2119,2850,2310,2777,2832">junto</WORD>
<WORD coords="2364,2835,2473,2796,2833">con</WORD>
<WORD coords="2526,2833,2584,2776,2832">la</WORD>
<WORD coords="2633,2846,2838,2787,2831">resta,</WORD>
<WORD coords="2887,2833,2947,2776,2832">si</WORD>
</LINE>
<LINE>
<WORD coords="576,2937,641,2875,2935">da</WORD>
<WORD coords="697,2956,819,2881,2936">hay</WORD>
<WORD coords="841,2938,847,2934,2938">.</WORD>
<WORD coords="865,2950,882,2923,2950">y</WORD>
<WORD coords="921,2934,981,2898,2934">es</WORD>
<WORD coords="1042,2955,1216,2879,2933">igual</WORD>
<WORD coords="1264,2934,1328,2877,2934">al</WORD>
<WORD coords="1406,2939,1720,2876,2932">dividendo</WORD>
<WORD coords="1755,2943,1773,2921,2943">%</WORD>
<WORD coords="1830,2936,2035,2889,2934">estará</WORD>
<WORD coords="2082,2937,2218,2879,2936">bien</WORD>
<WORD coords="2298,2940,2489,2882,2939">hecha</WORD>
<WORD coords="2545,2940,2601,2883,2939">la</WORD>
<WORD coords="2658,2940,2945,2882,2937">división.</WORD>
</LINE>
<LINE>
<WORD coords="573,3045,696,2988,3044">Sea</WORD>
<WORD coords="760,3046,818,2992,3044">la</WORD>
<WORD coords="877,3063,1193,3003,3041">espresion</WORD>
<WORD coords="1254,3041,1287,2992,3041">S</WORD>
<WORD coords="1325,3041,1336,3006,3041">:</WORD>
<WORD coords="1382,3041,1413,2990,3041">8</WORD>
<WORD coords="1594,3040,1622,2995,3041">2</WORD>
<WORD coords="1655,3051,1697,2983,3033">-j*</WORD>
<WORD coords="1724,3041,1761,2994,3041">2</WORD>
<WORD coords="1809,3042,2077,2985,3041">ochaves</WORD>
<WORD coords="2105,3058,2126,3010,3050">;</WORD>
<WORD coords="2183,3042,2235,2987,3041">si</WORD>
<WORD coords="2297,3064,2643,2990,3044">multiplico</WORD>
<WORD coords="2713,3043,2770,2990,3042">el</WORD>
<WORD coords="2841,3044,2945,3006,3043">co-</WORD>
</LINE>
<LINE>
<WORD coords="575,3152,781,3095,3149">ciente</WORD>
<WORD coords="832,3148,868,3102,3148">2</WORD>
<WORD coords="931,3167,1037,3111,3147">por</WORD>
<WORD coords="1085,3148,1140,3093,3147">el</WORD>
<WORD coords="1199,3147,1435,3091,3145">divisor</WORD>
<WORD coords="1474,3145,1506,3099,3146">3</WORD>
<WORD coords="1541,3159,1557,3134,3153">,</WORD>
<WORD coords="1602,3147,1818,3088,3145">tendré</WORD>
<WORD coords="1880,3147,1935,3093,3146">el</WORD>
<WORD coords="1988,3166,2290,3093,3146">producto</WORD>
<WORD coords="2350,3148,2388,3098,3148">6</WORD>
<WORD coords="2446,3149,2474,3099,3149">á</WORD>
<WORD coords="2531,3169,2720,3095,3150">quien</WORD>
<WORD coords="2792,3151,2939,3095,3150">aña-</WORD>
</LINE>
<LINE>
<WORD coords="580,3258,667,3200,3256">do</WORD>
<WORD coords="720,3255,773,3201,3254">la</WORD>
<WORD coords="824,3257,984,3211,3255">resta</WORD>
<WORD coords="1040,3255,1076,3207,3255">2</WORD>
<WORD coords="1111,3271,1127,3242,3271">,</WORD>
<WORD coords="1175,3276,1213,3219,3276">y</WORD>
<WORD coords="1260,3278,1447,3211,3253">tengo</WORD>
<WORD coords="1506,3253,1537,3205,3260">8</WORD>
<WORD coords="1561,3268,1574,3220,3255">;</WORD>
<WORD coords="1628,3253,1807,3217,3251">como</WORD>
<WORD coords="1863,3253,1896,3205,3254">8</WORD>
<WORD coords="1954,3255,2019,3218,3254">es</WORD>
<WORD coords="2078,3274,2249,3198,3253">igual</WORD>
<WORD coords="2328,3258,2675,3198,3255">dividendo</WORD>
<WORD coords="2710,3275,2726,3243,3266">,</WORD>
<WORD coords="2798,3257,2946,3218,3255">con-</WORD>
</LINE>
<LINE>
<WORD coords="593,3383,779,3309,3363">cluyo</WORD>
<WORD coords="823,3378,938,3326,3361">que</WORD>
<WORD coords="985,3362,1042,3304,3361">la</WORD>
<WORD coords="1093,3361,1366,3303,3360">división</WORD>
<WORD coords="1422,3365,1548,3307,3362">está</WORD>
<WORD coords="1601,3361,1740,3304,3360">bien</WORD>
<WORD coords="1798,3361,2011,3302,3358">hecha.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="829,3469,921,3413,3469">La</WORD>
<WORD coords="979,3470,1172,3431,3468">razón</WORD>
<WORD coords="1240,3467,1304,3432,3466">es</WORD>
<WORD coords="1342,3483,1360,3452,3483">&gt;</WORD>
<WORD coords="1397,3484,1631,3430,3465">porque</WORD>
<WORD coords="1681,3466,1733,3411,3465">el</WORD>
<WORD coords="1785,3466,2128,3408,3464">dividendo</WORD>
<WORD coords="2179,3465,2246,3429,3464">es</WORD>
<WORD coords="2293,3466,2371,3428,3465">un</WORD>
<WORD coords="2431,3481,2735,3411,3466">producto</WORD>
<WORD coords="2765,3482,2782,3457,3477">,</WORD>
<WORD coords="2821,3472,2926,3429,3471">cu*</WORD>
</LINE>
<LINE>
<WORD coords="574,3602,690,3539,3576">yos</WORD>
<WORD coords="751,3578,1018,3517,3576">factores</WORD>
<WORD coords="1065,3577,1174,3540,3575">son</WORD>
<WORD coords="1218,3595,1356,3516,3581">[64]</WORD>
<WORD coords="1399,3573,1454,3518,3573">el</WORD>
<WORD coords="1498,3574,1735,3517,3572">divisor</WORD>
<WORD coords="1787,3593,1825,3537,3583">y</WORD>
<WORD coords="1858,3572,1912,3519,3572">el</WORD>
<WORD coords="1961,3575,2235,3519,3572">cociente</WORD>
<WORD coords="2272,3588,2285,3562,3588">,</WORD>
<WORD coords="2314,3592,2390,3535,3571">ya</WORD>
<WORD coords="2423,3571,2523,3536,3570">sea</WORD>
<WORD coords="2572,3575,2627,3523,3574">el</WORD>
<WORD coords="2684,3575,2931,3521,3574">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="571,3688,634,3643,3687">te</WORD>
<WORD coords="697,3686,777,3647,3685">un</WORD>
<WORD coords="832,3684,1089,3645,3682">numero</WORD>
<WORD coords="1145,3684,1355,3639,3682">entero</WORD>
<WORD coords="1386,3696,1401,3668,3696">,</WORD>
<WORD coords="1452,3700,1527,3645,3682">ya</WORD>
<WORD coords="1572,3683,1653,3645,3681">un</WORD>
<WORD coords="1700,3681,1884,3624,3680">misto</WORD>
<WORD coords="1944,3681,2020,3625,3680">de</WORD>
<WORD coords="2079,3681,2289,3636,3679">entero</WORD>
<WORD coords="2332,3699,2373,3642,3698">y</WORD>
<WORD coords="2414,3697,2729,3627,3681">quebrado</WORD>
<WORD coords="2758,3695,2774,3649,3690">;</WORD>
<WORD coords="2809,3685,2941,3628,3683">lue-</WORD>
</LINE>
<LINE>
<WORD coords="569,3816,652,3757,3794">go</WORD>
<WORD coords="710,3808,1180,3734,3786">multiplicando</WORD>
<WORD coords="1239,3789,1477,3731,3787">divisor</WORD>
<WORD coords="1534,3807,1574,3751,3797">y</WORD>
<WORD coords="1630,3787,1905,3732,3786">cociente</WORD>
<WORD coords="1947,3806,1966,3774,3797">,</WORD>
<WORD coords="2021,3787,2174,3730,3786">debe</WORD>
<WORD coords="2227,3786,2487,3730,3784">resultar</WORD>
<WORD coords="2543,3787,2598,3734,3786">el</WORD>
<WORD coords="2649,3790,2940,3731,3788">dividen-</WORD>
</LINE>
<LINE>
<WORD coords="569,3903,652,3846,3902">do</WORD>
<WORD coords="691,3904,708,3867,3904">:</WORD>
<WORD coords="759,3919,903,3861,3896">pero</WORD>
<WORD coords="948,3895,1128,3859,3895">como</WORD>
<WORD coords="1187,3897,1305,3857,3895">aun</WORD>
<WORD coords="1354,3895,1430,3859,3895">no</WORD>
<WORD coords="1476,3901,1760,3838,3894">sabemos</WORD>
<WORD coords="1806,3909,2185,3836,3891">multiplicar</WORD>
<WORD coords="2228,3893,2306,3856,3891">un</WORD>
<WORD coords="2357,3910,2674,3831,3892">quebrado</WORD>
<WORD coords="2711,3912,2819,3856,3892">por</WORD>
<WORD coords="2848,3898,2936,3856,3896">un</WORD>
</LINE>
<LINE>
<WORD coords="568,4019,785,3969,4013">crterp</WORD>
<WORD coords="810,4027,826,4000,4008">,</WORD>
<WORD coords="885,4008,1015,3953,4007">solo</WORD>
<WORD coords="1073,4008,1397,3950,4005">añadimos</WORD>
<WORD coords="1456,4004,1508,3947,4003">al</WORD>
<WORD coords="1570,4019,1871,3948,4000">producto</WORD>
<WORD coords="1940,4005,2019,3945,4004">de</WORD>
<WORD coords="2063,4003,2156,3946,4002">ios</WORD>
<WORD coords="2215,4002,2513,3943,4000">términos</WORD>
<WORD coords="2568,4000,2624,3942,3999">el</WORD>
<WORD coords="2673,4005,2940,3962,4002">numero</WORD>
</LINE>
<LINE>
<WORD coords="571,4145,694,4084,4123">que</WORD>
<WORD coords="749,4122,935,4061,4120">sobió</WORD>
<WORD coords="983,4120,1060,4060,4119">de</WORD>
<WORD coords="1119,4118,1176,4060,4117">la</WORD>
<WORD coords="1249,4117,1519,4055,4114">división</WORD>
<WORD coords="1568,4115,1793,4066,4111">esaxta.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0058.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0059.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0059.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1362,412,1506,326,412">49</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="330,536,430,461,520">$7*.</WORD>
<WORD coords="521,515,777,455,513">Escolio.</WORD>
<WORD coords="859,517,952,453,513">La</WORD>
<WORD coords="1002,536,1346,449,512">verdadera</WORD>
<WORD coords="1414,542,1637,447,508">prueba</WORD>
<WORD coords="1699,505,1776,449,504">de</WORD>
<WORD coords="1824,505,1944,465,503">una</WORD>
<WORD coords="2012,525,2343,449,503">operación</WORD>
<WORD coords="2402,506,2464,469,504">es</WORD>
<WORD coords="2510,507,2621,447,506">fis-</WORD>
</LINE>
<LINE>
<WORD coords="247,633,408,569,625">calía</WORD>
<WORD coords="467,620,579,584,618">con</WORD>
<WORD coords="636,620,859,562,618">mucha</WORD>
<WORD coords="906,618,1188,560,615">atención</WORD>
<WORD coords="1248,635,1287,578,624">y</WORD>
<WORD coords="1334,614,1666,557,612">serenidad</WORD>
<WORD coords="1697,613,1711,577,613">:</WORD>
<WORD coords="1780,629,2070,556,611">repetirla</WORD>
<WORD coords="2150,618,2349,555,610">varias</WORD>
<WORD coords="2415,625,2618,575,607">veces,</WORD>
</LINE>
<LINE>
<WORD coords="250,746,545,670,726">despacio</WORD>
<WORD coords="594,744,629,689,734">y</WORD>
<WORD coords="678,725,770,687,723">sin</WORD>
<WORD coords="821,742,1262,665,720">precipitación</WORD>
<WORD coords="1300,736,1316,709,728">,</WORD>
<WORD coords="1366,720,1404,667,720">ó</WORD>
<WORD coords="1465,741,1802,665,719">ejecutarla</WORD>
<WORD coords="1846,720,2014,676,719">entre</WORD>
<WORD coords="2068,719,2273,664,717">varias</WORD>
<WORD coords="2323,735,2621,678,713">personas</WORD>
</LINE>
<LINE>
<WORD coords="240,859,389,796,832">^ara</WORD>
<WORD coords="436,832,791,773,830">confrontar</WORD>
<WORD coords="843,833,934,775,830">los</WORD>
<WORD coords="987,832,1359,773,828">resultados.</WORD>
<WORD coords="1458,829,1556,773,828">De</WORD>
<WORD coords="1612,827,1698,770,825">las</WORD>
<WORD coords="1749,848,1867,791,827">que</WORD>
<WORD coords="1910,828,2130,770,826">hemos</WORD>
<WORD coords="2185,822,2350,766,821">dado</WORD>
<WORD coords="2398,838,2623,764,819">arriba^</WORD>
</LINE>
<LINE>
<WORD coords="237,958,354,901,938">por</WORD>
<WORD coords="408,956,526,900,938">que</WORD>
<WORD coords="577,936,655,900,936">no</WORD>
<WORD coords="698,936,784,883,936">las</WORD>
<WORD coords="831,937,1109,883,936">estrañen</WORD>
<WORD coords="1170,935,1259,881,934">los</WORD>
<WORD coords="1320,956,1706,879,934">practicones</WORD>
<WORD coords="1764,953,1882,898,933">que</WORD>
<WORD coords="1924,955,2070,876,933">fijan</WORD>
<WORD coords="2118,932,2288,885,929">tanto</WORD>
<WORD coords="2339,930,2407,890,928">su</WORD>
<WORD coords="2457,927,2629,882,925">aten*</WORD>
</LINE>
<LINE>
<WORD coords="242,1049,383,990,1044">ejon</WORD>
<WORD coords="428,1044,502,1008,1043">en</WORD>
<WORD coords="563,1042,714,988,1041">ellas</WORD>
<WORD coords="771,1062,811,1008,1051">y</WORD>
<WORD coords="866,1041,953,987,1040">las</WORD>
<WORD coords="999,1042,1234,985,1040">honran</WORD>
<WORD coords="1295,1040,1407,1004,1040">con</WORD>
<WORD coords="1463,1041,1525,986,1041">el</WORD>
<WORD coords="1597,1040,1853,984,1039">nombre</WORD>
<WORD coords="1910,1039,1987,983,1038">de</WORD>
<WORD coords="2035,1061,2307,979,1037">pruebas</WORD>
<WORD coords="2405,1039,2623,984,1031">reales^</WORD>
</LINE>
<LINE>
<WORD coords="245,1154,382,1098,1152">solo</WORD>
<WORD coords="434,1169,738,1094,1148">podemos</WORD>
<WORD coords="792,1150,936,1111,1148">usar</WORD>
<WORD coords="976,1148,1089,1110,1147">con</WORD>
<WORD coords="1148,1167,1397,1091,1145">ventaja</WORD>
<WORD coords="1443,1146,1520,1090,1146">de</WORD>
<WORD coords="1573,1145,1627,1090,1145">la</WORD>
<WORD coords="1671,1146,1772,1090,1145">del</WORD>
<WORD coords="1827,1150,2022,1101,1145">restar</WORD>
<WORD coords="2057,1153,2072,1113,1153">;</WORD>
<WORD coords="2128,1165,2361,1107,1144">porque</WORD>
<WORD coords="2409,1141,2466,1085,1140">el</WORD>
<WORD coords="2520,1141,2625,1103,1140">su-</WORD>
</LINE>
<LINE>
<WORD coords="246,1259,381,1219,1257">mar</WORD>
<WORD coords="440,1256,496,1201,1255">la</WORD>
<WORD coords="556,1256,900,1199,1255">diferencia</WORD>
<WORD coords="957,1276,998,1218,1265">y</WORD>
<WORD coords="1044,1254,1098,1199,1254">el</WORD>
<WORD coords="1152,1254,1524,1196,1252">sustraendo</WORD>
<WORD coords="1583,1253,1649,1217,1252">es</WORD>
<WORD coords="1708,1252,1841,1215,1251">ma3</WORD>
<WORD coords="1903,1260,2052,1193,1252">fácil</WORD>
<WORD coords="2134,1273,2173,1215,1263">y</WORD>
<WORD coords="2241,1252,2457,1212,1249">menos</WORD>
<WORD coords="2528,1246,2624,1209,1246">es-</WORD>
</LINE>
<LINE>
<WORD coords="244,1385,466,1321,1364">puesto</WORD>
<WORD coords="541,1363,569,1328,1363">a</WORD>
<WORD coords="620,1383,1140,1306,1362">equivocaciones</WORD>
<WORD coords="1176,1378,1194,1348,1378">,</WORD>
<WORD coords="1244,1379,1373,1324,1361">que,</WORD>
<WORD coords="1420,1360,1476,1304,1360">el</WORD>
<WORD coords="1536,1360,1733,1316,1359">restar</WORD>
<WORD coords="1778,1359,1855,1301,1358">de</WORD>
<WORD coords="1910,1360,2136,1322,1358">nuevo.</WORD>
<WORD coords="2230,1356,2328,1300,1355">En</WORD>
<WORD coords="2363,1354,2417,1299,1353">la</WORD>
<WORD coords="2478,1371,2623,1315,1352">ope-</WORD>
</LINE>
<LINE>
<WORD coords="246,1472,457,1416,1470">ración</WORD>
<WORD coords="519,1471,595,1415,1471">de</WORD>
<WORD coords="643,1484,931,1414,1469">dividir,</WORD>
<WORD coords="979,1486,1098,1432,1468">que</WORD>
<WORD coords="1160,1468,1228,1430,1468">es</WORD>
<WORD coords="1273,1468,1330,1414,1467">la</WORD>
<WORD coords="1389,1468,1520,1430,1467">mas</WORD>
<WORD coords="1566,1484,1991,1408,1465">importante,</WORD>
<WORD coords="2034,1466,2111,1429,1465">no</WORD>
<WORD coords="2141,1465,2332,1407,1464">habrá</WORD>
<WORD coords="2384,1482,2624,1407,1459">peligio</WORD>
</LINE>
<LINE>
<WORD coords="244,1579,324,1523,1578">de</WORD>
<WORD coords="376,1598,592,1540,1576">yerro,</WORD>
<WORD coords="631,1575,681,1520,1574">si</WORD>
<WORD coords="749,1578,815,1539,1576">se</WORD>
<WORD coords="860,1575,1164,1519,1574">observan</WORD>
<WORD coords="1219,1575,1307,1520,1574">las</WORD>
<WORD coords="1362,1595,1566,1519,1572">reglas</WORD>
<WORD coords="1624,1574,1816,1515,1572">dadas</WORD>
<WORD coords="1868,1592,2011,1516,1581">(72)</WORD>
<WORD coords="2062,1592,2207,1532,1572">para</WORD>
<WORD coords="2266,1570,2534,1530,1568">conocer</WORD>
<WORD coords="2565,1568,2623,1507,1566">ai</WORD>
</LINE>
<LINE>
<WORD coords="246,1688,306,1628,1688">ti</WORD>
<WORD coords="352,1685,627,1626,1683">cociente</WORD>
<WORD coords="670,1683,738,1645,1683">es</WORD>
<WORD coords="784,1703,999,1643,1681">mayor</WORD>
<WORD coords="1044,1682,1089,1625,1682">£</WORD>
<WORD coords="1149,1683,1363,1643,1682">menor</WORD>
<WORD coords="1390,1700,1515,1644,1680">que</WORD>
<WORD coords="1551,1681,1605,1624,1679">el</WORD>
<WORD coords="1661,1680,2034,1622,1677">verdadero.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="651,1856,1398,1788,1849">ALTERACIONES</WORD>
<WORD coords="1448,1847,1631,1788,1846">DEL</WORD>
<WORD coords="1701,1852,2213,1786,1846">PRODUCTO</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="922,1981,1050,1941,1980">POR</WORD>
<WORD coords="1105,1980,1223,1939,1979">LAS</WORD>
<WORD coords="1272,1979,1361,1939,1978">DE</WORD>
<WORD coords="1410,1978,1534,1938,1977">LOS</WORD>
<WORD coords="1571,1979,1944,1937,1977">FACTORES.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="328,2118,428,2067,2116">88.</WORD>
<WORD coords="516,2116,830,2056,2113">Teorema</WORD>
<WORD coords="856,2112,873,2075,2112">:</WORD>
<WORD coords="961,2112,1031,2053,2111">Si</WORD>
<WORD coords="1083,2110,1201,2070,2109">uno</WORD>
<WORD coords="1257,2109,1330,2051,2107">de</WORD>
<WORD coords="1387,2110,1473,2051,2109">los</WORD>
<WORD coords="1507,2131,1791,2052,2111">factores</WORD>
<WORD coords="1843,2110,1907,2074,2110">se</WORD>
<WORD coords="1959,2132,2297,2050,2108">multiplica</WORD>
<WORD coords="2349,2131,2468,2063,2109">por</WORD>
<WORD coords="2534,2113,2618,2070,2111">un</WORD>
</LINE>
<LINE>
<WORD coords="243,2225,491,2182,2221">numero</WORD>
<WORD coords="560,2242,909,2163,2216">cualquiera</WORD>
<WORD coords="939,2231,957,2204,2223">,</WORD>
<WORD coords="1002,2215,1057,2160,2215">el</WORD>
<WORD coords="1099,2235,1398,2160,2213">producto</WORD>
<WORD coords="1451,2236,1769,2160,2213">primitiva</WORD>
<WORD coords="1854,2225,2123,2160,2215">quedara</WORD>
<WORD coords="2204,2235,2615,2160,2213">multiplicado</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="232,2353,354,2283,2323">pur</WORD>
<WORD coords="413,2325,470,2270,2324">el</WORD>
<WORD coords="522,2324,729,2273,2323">mismo</WORD>
<WORD coords="773,2323,1023,2283,2321">numero</WORD>
<WORD coords="1272,2310,1276,2296,2310">■</WORD>
<WORD coords="1499,2341,1909,2266,2321">Gsplicacion.</WORD>
<WORD coords="1999,2323,2113,2266,2322">Sea</WORD>
<WORD coords="2167,2324,2202,2277,2324">2</WORD>
<WORD coords="2260,2341,2330,2269,2341">X</WORD>
<WORD coords="2360,2323,2397,2276,2323">4</WORD>
<WORD coords="2425,2319,2528,2281,2319">==</WORD>
<WORD coords="2559,2324,2585,2276,2331">8</WORD>
<WORD coords="2599,2339,2620,2290,0">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="241,2438,292,2377,2435">si</WORD>
<WORD coords="354,2430,409,2378,2430">al</WORD>
<WORD coords="467,2431,666,2371,2429">factor</WORD>
<WORD coords="723,2429,758,2381,2429">2</WORD>
<WORD coords="805,2444,1156,2370,2426">multiplico</WORD>
<WORD coords="1191,2440,1299,2389,2425">por</WORD>
<WORD coords="1358,2426,1391,2377,2427">3</WORD>
<WORD coords="1425,2441,1442,2416,2441">,</WORD>
<WORD coords="1472,2449,1511,2392,2438">y</WORD>
<WORD coords="1566,2427,1621,2374,2426">el</WORD>
<WORD coords="1678,2447,1980,2372,2428">producto</WORD>
<WORD coords="2022,2429,2065,2378,2429">6</WORD>
<WORD coords="2122,2445,2467,2374,2429">multiplico</WORD>
<WORD coords="2499,2450,2611,2392,2430">por</WORD>
</LINE>
<LINE>
<WORD coords="243,2538,284,2485,2537">4</WORD>
<WORD coords="339,2536,417,2480,2536">de</WORD>
<WORD coords="473,2535,603,2491,2534">esta</WORD>
<WORD coords="647,2534,854,2490,2533">suerte</WORD>
<WORD coords="899,2533,936,2482,2534">6</WORD>
<WORD coords="983,2546,1048,2487,2546">X</WORD>
<WORD coords="1100,2533,1140,2483,2534">4</WORD>
<WORD coords="1176,2529,1286,2483,2529">SSs</WORD>
<WORD coords="1310,2533,1389,2482,2533">24</WORD>
<WORD coords="1418,2548,1435,2520,2548">,</WORD>
<WORD coords="1482,2555,1604,2496,2533">voy</WORD>
<WORD coords="1653,2534,1681,2482,2534">á</WORD>
<WORD coords="1725,2535,2076,2478,2534">demostrar</WORD>
<WORD coords="2122,2555,2241,2500,2536">que</WORD>
<WORD coords="2294,2535,2347,2482,2535">el</WORD>
<WORD coords="2404,2539,2610,2500,2536">nuevo</WORD>
</LINE>
<LINE>
<WORD coords="238,2664,547,2585,2641">producto</WORD>
<WORD coords="603,2642,682,2590,2641">24</WORD>
<WORD coords="715,2639,779,2602,2638">ts</WORD>
<WORD coords="817,2640,881,2583,2640">lo</WORD>
<WORD coords="941,2640,1166,2586,2640">mismo</WORD>
<WORD coords="1202,2659,1324,2605,2640">que</WORD>
<WORD coords="1371,2641,1427,2586,2640">el</WORD>
<WORD coords="1477,2660,1796,2584,2640">primitivo</WORD>
<WORD coords="1843,2642,1880,2591,2642">8</WORD>
<WORD coords="1931,2662,2359,2584,2642">multiplicado</WORD>
<WORD coords="2408,2662,2513,2605,2640">por</WORD>
<WORD coords="2551,2643,2611,2593,2641">3»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="485,2748,978,2692,2745">Demostración,</WORD>
<WORD coords="1074,2746,1151,2691,2745">El</WORD>
<WORD coords="1191,2765,1492,2690,2746">producto</WORD>
<WORD coords="1535,2748,1567,2700,2748">8</WORD>
<WORD coords="1616,2748,1680,2710,2748">es</WORD>
<WORD coords="1720,2750,1842,2711,2748">una</WORD>
<WORD coords="1900,2749,2076,2710,2748">suma</WORD>
<WORD coords="2112,2763,2127,2738,2763">,</WORD>
<WORD coords="2204,2770,2391,2712,2749">cuyas</WORD>
<WORD coords="2475,2766,2609,2712,2750">par-</WORD>
</LINE>
<LINE>
<WORD coords="228,2855,392,2797,2854">tidas</WORD>
<WORD coords="444,2873,800,2807,2852">representa</WORD>
<WORD coords="860,2852,918,2798,2852">el</WORD>
<WORD coords="976,2870,1451,2795,2851">multiplicando</WORD>
<WORD coords="1499,2854,1535,2806,2854">2</WORD>
<WORD coords="1603,2874,1643,2817,2864">y</WORD>
<WORD coords="1687,2854,1745,2799,2854">el</WORD>
<WORD coords="1793,2870,2256,2798,2853">multiplicador</WORD>
<WORD coords="2295,2856,2335,2806,2855">4</WORD>
<WORD coords="2392,2855,2447,2803,2855">el</WORD>
<WORD coords="2493,2858,2606,2818,2856">nu-</WORD>
</LINE>
<LINE>
<WORD coords="227,2962,405,2923,2960">mero</WORD>
<WORD coords="450,2960,527,2904,2959">de</WORD>
<WORD coords="576,2960,728,2905,2958">ellas</WORD>
<WORD coords="759,2977,776,2929,2975">5</WORD>
<WORD coords="828,2973,974,2921,2958">pero</WORD>
<WORD coords="1034,2960,1411,2904,2958">aumentada</WORD>
<WORD coords="1458,2960,1611,2894,2960">cada</WORD>
<WORD coords="1661,2979,1899,2904,2960">partida</WORD>
<WORD coords="1949,2959,1982,2907,2959">3</WORD>
<WORD coords="2035,2961,2212,2924,2960">veces</WORD>
<WORD coords="2243,2975,2260,2949,2967">,</WORD>
<WORD coords="2319,2960,2377,2906,2959">lo</WORD>
<WORD coords="2456,2979,2603,2922,2961">que»</WORD>
</LINE>
<LINE>
<WORD coords="237,3066,318,3010,3066">da</WORD>
<WORD coords="375,3066,430,3013,3065">el</WORD>
<WORD coords="476,3065,627,3009,3063">todo</WORD>
<WORD coords="668,3063,707,3015,3063">S</WORD>
<WORD coords="744,3087,895,3016,3071">fax.</WORD>
<WORD coords="947,3063,1002,3014,3062">3.</WORD>
<WORD coords="1091,3081,1138,3008,3078">)</WORD>
<WORD coords="1178,3075,1193,3032,3075">;</WORD>
<WORD coords="1253,3086,1436,3010,3064">luego</WORD>
<WORD coords="1511,3085,1944,3010,3065">multiplicado</WORD>
<WORD coords="1999,3066,2053,3010,3065">el</WORD>
<WORD coords="2110,3066,2190,3029,3065">un</WORD>
<WORD coords="2248,3067,2447,3008,3065">factor</WORD>
<WORD coords="2497,3083,2607,3027,3066">por</WORD>
</LINE>
<LINE>
<WORD coords="227,3174,313,3135,3172">un</WORD>
<WORD coords="361,3172,622,3134,3170">numero</WORD>
<WORD coords="673,3188,1034,3113,3168">cualquiera</WORD>
<WORD coords="1063,3185,1080,3157,3178">,</WORD>
<WORD coords="1138,3170,1196,3110,3170">lo</WORD>
<WORD coords="1264,3191,1471,3115,3171">queda</WORD>
<WORD coords="1547,3171,1605,3117,3170">el</WORD>
<WORD coords="1683,3191,2010,3115,3171">producto.</WORD>
<WORD coords="2099,3171,2164,3115,3170">Si</WORD>
<WORD coords="2224,3172,2288,3138,3172">se</WORD>
<WORD coords="2344,3178,2607,3115,3174">hubiera</WORD>
</LINE>
<LINE>
<WORD coords="228,3293,665,3219,3275">multiplicado</WORD>
<WORD coords="708,3276,765,3219,3276">el</WORD>
<WORD coords="812,3275,1011,3218,3274">factor</WORD>
<WORD coords="1061,3278,1102,3228,3278">4</WORD>
<WORD coords="1134,3294,1150,3266,3285">,</WORD>
<WORD coords="1198,3277,1252,3222,3276">le</WORD>
<WORD coords="1308,3279,1712,3223,3277">tomaríamos</WORD>
<WORD coords="1760,3298,1871,3241,3279">por</WORD>
<WORD coords="1920,3297,2396,3224,3280">multiplicando</WORD>
<WORD coords="2457,3302,2495,3247,3292">y</WORD>
<WORD coords="2552,3282,2610,3225,3281">al</WORD>
</LINE>
<LINE>
<WORD coords="222,3385,423,3328,3382">factor</WORD>
<WORD coords="466,3383,500,3335,3383">2</WORD>
<WORD coords="548,3398,656,3345,3381">por</WORD>
<WORD coords="718,3400,1187,3326,3381">multiplicador</WORD>
<WORD coords="1225,3409,1365,3328,3396">(42)</WORD>
<WORD coords="1403,3403,1478,3348,3395">,y</WORD>
<WORD coords="1534,3385,1852,3327,3383">hariamos</WORD>
<WORD coords="1893,3386,1951,3330,3384">el</WORD>
<WORD coords="1983,3386,2211,3330,3384">mismo</WORD>
<WORD coords="2244,3392,2610,3331,3386">raciocinio,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="307,3491,407,3438,3489">89.</WORD>
<WORD coords="497,3489,809,3433,3487">Teorema</WORD>
<WORD coords="849,3492,870,3453,3490">:</WORD>
<WORD coords="934,3489,999,3435,3488">Si</WORD>
<WORD coords="1048,3492,1247,3434,3490">ambos</WORD>
<WORD coords="1279,3513,1563,3433,3492">factores</WORD>
<WORD coords="1621,3490,1686,3454,3489">se</WORD>
<WORD coords="1742,3511,2119,3435,3488">multiplican</WORD>
<WORD coords="2171,3513,2291,3447,3490">por</WORD>
<WORD coords="2348,3492,2431,3456,3492">un</WORD>
<WORD coords="2491,3492,2635,3453,3491">nu«--</WORD>
</LINE>
<LINE>
<WORD coords="222,3600,384,3558,3598">mero</WORD>
<WORD coords="444,3620,798,3542,3595">cualquiera</WORD>
<WORD coords="830,3609,846,3586,3603">,</WORD>
<WORD coords="886,3598,944,3543,3597">el</WORD>
<WORD coords="983,3619,1277,3543,3597">produelo</WORD>
<WORD coords="1320,3620,1647,3538,3596">primitivo</WORD>
<WORD coords="1682,3597,1747,3559,3596">se</WORD>
<WORD coords="1793,3597,1986,3541,3597">hab&gt;a</WORD>
<WORD coords="2039,3618,2450,3541,3597">multiplicado</WORD>
<WORD coords="2481,3619,2602,3559,3596">por</WORD>
</LINE>
<LINE>
<WORD coords="224,3704,280,3649,3703">el</WORD>
<WORD coords="316,3723,608,3646,3701">producto</WORD>
<WORD coords="669,3704,740,3648,3703">de</WORD>
<WORD coords="799,3704,884,3650,3703">los</WORD>
<WORD coords="932,3705,1036,3648,3704">dos</WORD>
<WORD coords="1093,3705,1374,3666,3703">números</WORD>
<WORD coords="1433,3726,1544,3665,3702">que</WORD>
<WORD coords="1594,3725,2044,3646,3701">multiplicaron</WORD>
<WORD coords="2104,3700,2137,3666,3700">a</WORD>
<WORD coords="2185,3709,2274,3649,3704">lo,?</WORD>
<WORD coords="2291,3728,2594,3646,3706">factores.</WORD>
</LINE>
<LINE>
<WORD coords="230,3805,281,3782,3805">—</WORD>
<WORD coords="408,3803,440,3787,3810">■■</WORD>
<WORD coords="474,3801,483,3787,3807">■</WORD>
<WORD coords="502,3801,511,3787,3807">■</WORD>
<WORD coords="680,3833,1103,3755,3813">Esplicacion.</WORD>
<WORD coords="1191,3813,1310,3757,3812">Sea</WORD>
<WORD coords="1370,3810,1424,3755,3810">la</WORD>
<WORD coords="1473,3831,1794,3757,3812">espreaion</WORD>
<WORD coords="1847,3812,1882,3765,3812">2</WORD>
<WORD coords="1930,3834,2003,3764,3821">¿&gt;&lt;</WORD>
<WORD coords="2037,3811,2072,3781,3808">&lt;*</WORD>
<WORD coords="2105,3809,2210,3770,3811">=</WORD>
<WORD coords="2244,3812,2275,3763,3812">8</WORD>
<WORD coords="2302,3826,2322,3777,3819">;</WORD>
<WORD coords="2359,3810,2408,3773,3810">oí</WORD>
<WORD coords="2473,3811,2529,3767,3810">ai</WORD>
<WORD coords="2561,3810,2599,3759,3810">t</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1370,3926,1446,3874,3926">U</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0059.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0060.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0060.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1758,420,1905,330,420">50</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="639,562,996,456,536">Multiplico</WORD>
<WORD coords="1030,550,1144,490,530">por</WORD>
<WORD coords="1201,531,1237,482,536">5</WORD>
<WORD coords="1288,554,1331,495,548">y</WORD>
<WORD coords="1365,534,1416,479,534">si</WORD>
<WORD coords="1475,536,1516,482,539">4</WORD>
<WORD coords="1548,556,1657,498,537">por</WORD>
<WORD coords="1706,538,1739,489,540">3</WORD>
<WORD coords="1791,541,1865,484,540">de</WORD>
<WORD coords="1900,544,2029,496,541">este</WORD>
<WORD coords="2089,546,2277,487,544">modo</WORD>
<WORD coords="2309,571,2374,494,562">[2</WORD>
<WORD coords="2406,568,2479,494,568">X</WORD>
<WORD coords="2533,573,2601,492,565">5]</WORD>
<WORD coords="2624,574,2697,498,574">X</WORD>
<WORD coords="2726,580,2796,500,570">[4</WORD>
<WORD coords="2848,577,2920,498,577">X</WORD>
<WORD coords="2953,582,3023,502,569">3)</WORD>
</LINE>
<LINE>
<WORD coords="628,634,739,590,642">=</WORD>
<WORD coords="775,647,933,585,642">lüX</WORD>
<WORD coords="996,657,1401,589,643">12=120,</WORD>
<WORD coords="1449,663,1571,606,641">voy</WORD>
<WORD coords="1634,644,1657,590,647">á</WORD>
<WORD coords="1729,651,2083,590,648">demostrar</WORD>
<WORD coords="2138,671,2256,616,653">que</WORD>
<WORD coords="2307,654,2361,599,653">ei</WORD>
<WORD coords="2416,673,2720,605,657">producto</WORD>
<WORD coords="2782,679,2999,608,663">primi-</WORD>
</LINE>
<LINE>
<WORD coords="626,747,759,698,745">tivo</WORD>
<WORD coords="806,744,840,695,749">3</WORD>
<WORD coords="904,745,967,708,744">se</WORD>
<WORD coords="1016,747,1210,689,745">habrá</WORD>
<WORD coords="1260,768,1691,692,749">multiplicado</WORD>
<WORD coords="1737,773,1849,717,753">por</WORD>
<WORD coords="1904,753,1938,707,753">5</WORD>
<WORD coords="1988,757,2168,720,756">veces</WORD>
<WORD coords="2230,757,2263,709,757">3</WORD>
<WORD coords="2318,781,2484,704,760">igual</WORD>
<WORD coords="2534,763,2565,708,763">á</WORD>
<WORD coords="2628,765,2724,715,764">15.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="885,857,1370,797,851">Demostración.</WORD>
<WORD coords="1469,856,1533,800,855">Si</WORD>
<WORD coords="1589,858,1721,804,857">solo</WORD>
<WORD coords="1777,878,2191,805,861">multiplicara</WORD>
<WORD coords="2251,865,2305,811,865">el</WORD>
<WORD coords="2362,867,2564,808,866">factor</WORD>
<WORD coords="2608,871,2644,823,871">2</WORD>
<WORD coords="2693,891,2803,834,872">por</WORD>
<WORD coords="2842,875,2879,825,875">5</WORD>
<WORD coords="2907,891,2922,865,884">,</WORD>
<WORD coords="2953,877,3011,818,877">el</WORD>
</LINE>
<LINE>
<WORD coords="630,980,937,902,957">producto</WORD>
<WORD coords="984,959,1145,903,958">seria</WORD>
<WORD coords="1204,983,1442,904,961">(Teor.</WORD>
<WORD coords="1500,981,1824,911,965">anterior)</WORD>
<WORD coords="1878,968,1909,920,968">8</WORD>
<WORD coords="1944,984,2015,921,984">X</WORD>
<WORD coords="2061,976,2095,922,976">5</WORD>
<WORD coords="2133,983,2147,938,983">;</WORD>
<WORD coords="2194,994,2234,934,983">y</WORD>
<WORD coords="2291,973,2343,917,973">si</WORD>
<WORD coords="2400,981,2536,919,976">solo</WORD>
<WORD coords="2591,998,3011,923,979">multiplicará</WORD>
</LINE>
<LINE>
<WORD coords="628,1067,687,1010,1065">el</WORD>
<WORD coords="778,1066,975,1009,1065">factor</WORD>
<WORD coords="1033,1067,1075,1016,1072">4</WORD>
<WORD coords="1146,1087,1259,1029,1066">por</WORD>
<WORD coords="1331,1086,1404,1021,1077">3,</WORD>
<WORD coords="1481,1072,1535,1017,1071">el</WORD>
<WORD coords="1598,1093,1901,1018,1073">producto</WORD>
<WORD coords="1975,1077,2135,1020,1076">seria</WORD>
<WORD coords="2216,1078,2251,1030,1078">8</WORD>
<WORD coords="2302,1096,2370,1028,1096">X</WORD>
<WORD coords="2425,1082,2457,1032,1082">3</WORD>
<WORD coords="2517,1097,2534,1051,1097">;</WORD>
<WORD coords="2593,1103,2742,1047,1084">pero</WORD>
<WORD coords="2825,1091,3016,1051,1088">como,</WORD>
</LINE>
<LINE>
<WORD coords="624,1172,662,1116,1177">á</WORD>
<WORD coords="708,1172,789,1134,1171">un</WORD>
<WORD coords="846,1174,1072,1115,1173">mismo</WORD>
<WORD coords="1127,1196,1362,1117,1175">tiempo</WORD>
<WORD coords="1417,1181,1495,1119,1179">he</WORD>
<WORD coords="1539,1193,1969,1124,1180">multiplicado</WORD>
<WORD coords="2026,1186,2080,1129,1185">ei</WORD>
<WORD coords="2115,1188,2192,1149,1186">un</WORD>
<WORD coords="2238,1189,2437,1130,1187">factor</WORD>
<WORD coords="2482,1210,2591,1153,1191">por</WORD>
<WORD coords="2639,1191,2674,1143,1191">5</WORD>
<WORD coords="2702,1214,2740,1157,1203">y</WORD>
<WORD coords="2774,1192,2828,1137,1192">el</WORD>
<WORD coords="2861,1196,3000,1147,1194">otro</WORD>
</LINE>
<LINE>
<WORD coords="622,1298,736,1237,1276">por</WORD>
<WORD coords="797,1278,829,1227,1284">3</WORD>
<WORD coords="864,1295,880,1267,1292">,</WORD>
<WORD coords="936,1281,1095,1224,1280">debo</WORD>
<WORD coords="1142,1288,1417,1227,1283">también</WORD>
<WORD coords="1464,1285,1491,1233,1287">á</WORD>
<WORD coords="1550,1286,1630,1250,1286">un</WORD>
<WORD coords="1679,1307,1913,1232,1287">tiempo</WORD>
<WORD coords="1950,1311,2326,1236,1291">multiplicar</WORD>
<WORD coords="2372,1295,2429,1239,1295">el</WORD>
<WORD coords="2489,1315,2788,1240,1296">producto</WORD>
<WORD coords="2820,1300,2854,1253,1300">8</WORD>
<WORD coords="2890,1320,3003,1261,1301">por</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="621,1387,660,1336,1392">5</WORD>
<WORD coords="711,1407,750,1350,1406">y</WORD>
<WORD coords="800,1406,908,1350,1386">por</WORD>
<WORD coords="965,1388,995,1339,1392">3</WORD>
<WORD coords="1053,1392,1132,1334,1391">de</WORD>
<WORD coords="1177,1392,1307,1347,1390">este</WORD>
<WORD coords="1362,1392,1550,1335,1391">modo</WORD>
<WORD coords="1590,1394,1629,1345,1395">8</WORD>
<WORD coords="1655,1412,1724,1350,1412">X</WORD>
<WORD coords="1787,1395,1820,1348,1396">5</WORD>
<WORD coords="1858,1417,1926,1346,1417">X</WORD>
<WORD coords="1981,1398,2013,1348,1398">3</WORD>
<WORD coords="2046,1413,2062,1366,1407">;</WORD>
<WORD coords="2110,1401,2316,1343,1399">donde</WORD>
<WORD coords="2361,1401,2425,1365,1400">se</WORD>
<WORD coords="2459,1405,2533,1366,1404">ve</WORD>
<WORD coords="2579,1421,3004,1358,1406">patenteroeno</WORD>
</LINE>
<LINE>
<WORD coords="626,1495,687,1447,1494">te</WORD>
<WORD coords="736,1515,855,1460,1497">que</WORD>
<WORD coords="907,1497,964,1442,1496">el</WORD>
<WORD coords="1022,1518,1326,1441,1499">producto</WORD>
<WORD coords="1378,1519,1698,1445,1502">primitivo</WORD>
<WORD coords="1760,1507,1795,1457,1507">8</WORD>
<WORD coords="1856,1508,1980,1453,1507">está</WORD>
<WORD coords="2047,1529,2485,1451,1510">multiplicado</WORD>
<WORD coords="2555,1532,2665,1474,1514">por</WORD>
<WORD coords="2722,1517,2764,1463,1516">$,</WORD>
<WORD coords="2817,1520,3003,1476,1517">vecea</WORD>
</LINE>
<LINE>
<WORD coords="633,1601,667,1551,1603">3</WORD>
<WORD coords="730,1623,899,1543,1602">igual</WORD>
<WORD coords="963,1605,989,1550,1605">á</WORD>
<WORD coords="1039,1607,1111,1557,1606">15</WORD>
<WORD coords="1140,1623,1157,1594,1615">,</WORD>
<WORD coords="1205,1608,1281,1549,1607">L.</WORD>
<WORD coords="1347,1621,1430,1552,1613">Q.</WORD>
<WORD coords="1490,1610,1571,1552,1609">D.</WORD>
<WORD coords="1626,1614,1705,1555,1613">Eh</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="714,1710,819,1657,1712">90,</WORD>
<WORD coords="911,1717,1223,1654,1714">Teorema</WORD>
<WORD coords="1262,1718,1279,1683,1720">:</WORD>
<WORD coords="1325,1719,1397,1661,1718">Si</WORD>
<WORD coords="1427,1719,1543,1680,1719">uno</WORD>
<WORD coords="1593,1720,1665,1662,1719">de</WORD>
<WORD coords="1723,1721,1809,1664,1720">los</WORD>
<WORD coords="1835,1745,2119,1664,1726">factores</WORD>
<WORD coords="2151,1726,2217,1687,1725">se</WORD>
<WORD coords="2268,1728,2469,1669,1726">divide</WORD>
<WORD coords="2505,1747,2626,1682,1730">por</WORD>
<WORD coords="2679,1731,2762,1690,1731">un</WORD>
<WORD coords="2806,1735,3010,1694,1733">nutnc*</WORD>
</LINE>
<LINE>
<WORD coords="630,1819,704,1776,1817">to</WORD>
<WORD coords="731,1838,748,1805,1838">y</WORD>
<WORD coords="779,1818,836,1762,1817">el</WORD>
<WORD coords="876,1841,1173,1767,1822">producto</WORD>
<WORD coords="1224,1848,1547,1771,1827">primitivo</WORD>
<WORD coords="1603,1853,1874,1775,1830">quedara</WORD>
<WORD coords="1924,1835,2192,1776,1832">dividido</WORD>
<WORD coords="2220,1856,2337,1790,1834">por</WORD>
<WORD coords="2388,1836,2444,1778,1835">el</WORD>
<WORD coords="2485,1837,2691,1783,1836">mismo</WORD>
<WORD coords="2733,1843,3009,1799,1837">numero»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="638,1917,709,1898,1917">^»</WORD>
<WORD coords="1089,1951,1510,1874,1932">Esplicacion.</WORD>
<WORD coords="1604,1937,1722,1881,1936">Sea</WORD>
<WORD coords="1770,1938,1822,1884,1938">la</WORD>
<WORD coords="1894,1959,2382,1885,1939">multiplicación</WORD>
<WORD coords="2461,1944,2748,1886,1942">indicada</WORD>
<WORD coords="2791,1946,2829,1895,1946">4</WORD>
<WORD coords="2966,1949,3003,1895,1949">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="627,2035,736,1994,2033">sc=</WORD>
<WORD coords="770,2039,845,1991,2041">24</WORD>
<WORD coords="874,2055,889,2007,2050">;</WORD>
<WORD coords="943,2039,1010,1979,2038">Si</WORD>
<WORD coords="1069,2040,1132,1982,2039">el</WORD>
<WORD coords="1195,2042,1400,1981,2040">factor</WORD>
<WORD coords="1463,2043,1502,1992,2044">4</WORD>
<WORD coords="1548,2044,1767,1987,2043">divido</WORD>
<WORD coords="1819,2066,1928,2009,2045">por</WORD>
<WORD coords="1984,2049,2021,2000,2049">2</WORD>
<WORD coords="2053,2067,2092,2011,2067">y</WORD>
<WORD coords="2129,2069,2373,1990,2047">ejecuto</WORD>
<WORD coords="2427,2070,2695,1993,2049">después</WORD>
<WORD coords="2748,2053,2801,1995,2051">la</WORD>
<WORD coords="2851,2056,3010,2002,2055">mul-</WORD>
</LINE>
<LINE>
<WORD coords="647,2160,1005,2087,2144">tiplicación</WORD>
<WORD coords="1043,2161,1059,2133,2161">v</WORD>
<WORD coords="1088,2148,1307,2090,2146">tendré</WORD>
<WORD coords="1355,2150,1389,2101,2151">2</WORD>
<WORD coords="1416,2157,1479,2090,2157">X</WORD>
<WORD coords="1532,2148,1675,2098,2140">6~</WORD>
<WORD coords="1742,2166,1865,2103,2159">12;</WORD>
<WORD coords="1916,2172,2037,2117,2153">voy</WORD>
<WORD coords="2088,2157,2119,2099,2157">á</WORD>
<WORD coords="2184,2158,2528,2099,2156">demostrar</WORD>
<WORD coords="2561,2176,2577,2144,2175">,</WORD>
<WORD coords="2608,2175,2728,2119,2158">que</WORD>
<WORD coords="2782,2161,2837,2104,2160">el</WORD>
<WORD coords="2872,2180,3010,2124,2162">pro-</WORD>
</LINE>
<LINE>
<WORD coords="619,2254,811,2194,2252">ducto</WORD>
<WORD coords="860,2272,1181,2196,2252">primitivo</WORD>
<WORD coords="1215,2255,1279,2218,2254">se</WORD>
<WORD coords="1333,2256,1411,2197,2255">ha</WORD>
<WORD coords="1468,2258,1760,2199,2257">dividido</WORD>
<WORD coords="1760,2309,1931,2223,2260">^por</WORD>
<WORD coords="1981,2260,2038,2212,2260">2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="880,2369,1372,2303,2363">Demostración»</WORD>
<WORD coords="1471,2367,1548,2309,2366">El</WORD>
<WORD coords="1608,2386,1910,2312,2368">producto</WORD>
<WORD coords="1957,2370,2038,2317,2370">24</WORD>
<WORD coords="2093,2370,2158,2333,2369">es</WORD>
<WORD coords="2211,2373,2332,2333,2371">una</WORD>
<WORD coords="2384,2373,2559,2332,2371">suma</WORD>
<WORD coords="2594,2392,2830,2308,2371">/cuyas</WORD>
<WORD coords="2865,2392,3001,2334,2372">par-</WORD>
</LINE>
<LINE>
<WORD coords="616,2471,712,2421,2468">tes</WORD>
<WORD coords="779,2486,1019,2410,2468">iguales</WORD>
<WORD coords="1064,2489,1421,2428,2471">representa</WORD>
<WORD coords="1491,2473,1548,2416,2472">el</WORD>
<WORD coords="1604,2494,2076,2420,2475">multiplicando</WORD>
<WORD coords="2123,2478,2164,2428,2478">4</WORD>
<WORD coords="2223,2498,2261,2442,2488">y</WORD>
<WORD coords="2314,2478,2370,2424,2478">el</WORD>
<WORD coords="2423,2497,2888,2423,2478">multiplicador</WORD>
</LINE>
<LINE>
<WORD coords="618,2575,678,2517,2573">el</WORD>
<WORD coords="728,2575,987,2537,2574">numero</WORD>
<WORD coords="1038,2576,1115,2519,2576">de</WORD>
<WORD coords="1169,2578,1316,2521,2576">ellas</WORD>
<WORD coords="1349,2584,1368,2545,2584">;</WORD>
<WORD coords="1401,2598,1548,2541,2579">pero</WORD>
<WORD coords="1599,2582,1968,2524,2581">dividiendo</WORD>
<WORD coords="2016,2602,2125,2546,2583">por</WORD>
<WORD coords="2180,2584,2218,2538,2584">2</WORD>
<WORD coords="2254,2585,2399,2529,2584">cada</WORD>
<WORD coords="2451,2606,2621,2540,2586">parte</WORD>
<WORD coords="2665,2586,2708,2535,2584">4</WORD>
<WORD coords="2760,2583,2817,2530,2583">lo</WORD>
<WORD coords="2852,2603,3002,2548,2587">que-</WORD>
</LINE>
<LINE>
<WORD coords="629,2682,709,2622,2681">da</WORD>
<WORD coords="768,2682,824,2625,2681">el</WORD>
<WORD coords="870,2682,1024,2626,2681">todo</WORD>
<WORD coords="1083,2704,1213,2632,2694">24;</WORD>
<WORD coords="1275,2707,1460,2628,2684">luego</WORD>
<WORD coords="1531,2686,1585,2630,2686">si</WORD>
<WORD coords="1658,2689,1783,2649,2688">uno</WORD>
<WORD coords="1850,2690,1927,2633,2689">de</WORD>
<WORD coords="1999,2691,2089,2636,2690">los</WORD>
<WORD coords="2144,2692,2411,2626,2691">factores</WORD>
<WORD coords="2476,2694,2584,2636,2693">&amp;c.</WORD>
<WORD coords="2686,2695,2883,2638,2693">Como</WORD>
<WORD coords="2944,2696,3008,2638,2694">lo</WORD>
</LINE>
<LINE>
<WORD coords="628,2791,858,2730,2788">abismo</WORD>
<WORD coords="913,2792,1216,2732,2790">dinamos</WORD>
<WORD coords="1252,2804,1269,2778,2800">,</WORD>
<WORD coords="1304,2791,1357,2735,2790">ai</WORD>
<WORD coords="1393,2793,1580,2752,2791">acaso</WORD>
<WORD coords="1636,2794,1701,2757,2793">se</WORD>
<WORD coords="1757,2800,2017,2737,2795">hubiese</WORD>
<WORD coords="2074,2799,2365,2742,2797">dividido</WORD>
<WORD coords="2429,2801,2483,2744,2800">el</WORD>
<WORD coords="2538,2821,3006,2744,2801">multiplicador</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="641,2893,678,2840,2898">6</WORD>
<WORD coords="710,2918,729,2879,2918">?</WORD>
<WORD coords="784,2914,1023,2858,2896">porque</WORD>
<WORD coords="1076,2900,1382,2851,2898">entonces,</WORD>
<WORD coords="1450,2906,1506,2840,2903">iq</WORD>
<WORD coords="1564,2906,1969,2843,2901">tomaríamos</WORD>
<WORD coords="2037,2928,2151,2866,2904">por</WORD>
<WORD coords="2197,2928,2669,2851,2907">multiplicando</WORD>
<WORD coords="2709,2926,2726,2894,2921">,</WORD>
<WORD coords="2768,2917,3005,2853,2907">results*</WORD>
</LINE>
<LINE>
<WORD coords="622,3006,705,2943,3006">L.</WORD>
<WORD coords="760,3015,824,2945,3010">Q</WORD>
<WORD coords="903,3002,983,2946,3002">D.</WORD>
<WORD coords="1039,3005,1121,2947,3003">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="722,3108,792,3055,3111">91</WORD>
<WORD coords="807,3111,825,3092,3111">#</WORD>
<WORD coords="912,3113,1224,3051,3110">Teorema</WORD>
<WORD coords="1257,3115,1271,3077,3117">:</WORD>
<WORD coords="1362,3115,1432,3056,3114">Si</WORD>
<WORD coords="1476,3118,1675,3059,3116">ambos</WORD>
<WORD coords="1723,3142,2008,3061,3123">factores</WORD>
<WORD coords="2050,3123,2117,3086,3123">se</WORD>
<WORD coords="2174,3126,2415,3066,3124">dividen</WORD>
<WORD coords="2454,3149,2574,3081,3127">por</WORD>
<WORD coords="2613,3127,2699,3089,3127">nn</WORD>
<WORD coords="2756,3126,3008,3081,3122">numere</WORD>
</LINE>
<LINE>
<WORD coords="616,3239,973,3159,3215">cualquiera</WORD>
<WORD coords="1008,3232,1024,3205,3229">,</WORD>
<WORD coords="1068,3218,1124,3162,3217">el</WORD>
<WORD coords="1166,3239,1462,3164,3219">producto</WORD>
<WORD coords="1502,3242,1824,3169,3224">primitivo</WORD>
<WORD coords="1883,3252,2150,3174,3229">quedara</WORD>
<WORD coords="2237,3235,2505,3178,3233">dividido</WORD>
<WORD coords="2579,3255,2695,3189,3232">por</WORD>
<WORD coords="2748,3232,2802,3174,3230">el</WORD>
<WORD coords="2855,3251,3004,3185,3231">pro-</WORD>
</LINE>
<LINE>
<WORD coords="621,3323,800,3266,3322">ducto</WORD>
<WORD coords="852,3324,922,3267,3323">de</WORD>
<WORD coords="973,3346,1346,3269,3324">multiplicar</WORD>
<WORD coords="1395,3331,1568,3282,3328">entre</WORD>
<WORD coords="1623,3330,1679,3275,3329">si</WORD>
<WORD coords="1744,3333,1832,3274,3332">los</WORD>
<WORD coords="1885,3337,2163,3297,3335">números</WORD>
<WORD coords="2222,3361,2335,3303,3339">que</WORD>
<WORD coords="2411,3348,2757,3286,3339">dividieron</WORD>
<WORD coords="2827,3336,2861,3300,3336">a</WORD>
<WORD coords="2917,3337,3003,3279,3334">los</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="597,3452,892,3370,3432">factores</WORD>
<WORD coords="1090,3437,1185,3405,3426">«■*••</WORD>
<WORD coords="1319,3456,1796,3379,3438">-&quot;Esplicacion&apos;</WORD>
<WORD coords="1886,3441,2003,3385,3440">Sea</WORD>
<WORD coords="2036,3442,2092,3387,3442">ía</WORD>
<WORD coords="2148,3462,2465,3392,3443">espresion</WORD>
<WORD coords="2525,3446,2562,3397,3446">4</WORD>
<WORD coords="2616,3459,2687,3391,3459">X</WORD>
<WORD coords="2715,3439,2748,3389,3439">6</WORD>
<WORD coords="2773,3451,2875,3415,3449">=.</WORD>
<WORD coords="2903,3452,3003,3388,3444">24;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="623,3537,679,3480,3537">si</WORD>
<WORD coords="724,3538,947,3481,3537">divido</WORD>
<WORD coords="1004,3540,1059,3486,3539">el</WORD>
<WORD coords="1105,3540,1146,3492,3544">4</WORD>
<WORD coords="1193,3561,1303,3504,3541">por</WORD>
<WORD coords="1362,3544,1400,3495,3546">2</WORD>
<WORD coords="1461,3564,1495,3507,3556">y</WORD>
<WORD coords="1546,3545,1600,3489,3544">el</WORD>
<WORD coords="1653,3547,1688,3493,3547">6</WORD>
<WORD coords="1743,3566,1854,3509,3546">por</WORD>
<WORD coords="1894,3546,1927,3499,3547">3</WORD>
<WORD coords="1987,3568,2026,3513,3568">y</WORD>
<WORD coords="2096,3572,2342,3494,3550">ejecuto</WORD>
<WORD coords="2391,3552,2505,3514,3551">con</WORD>
<WORD coords="2553,3554,2643,3498,3553">ios</WORD>
<WORD coords="2693,3556,3003,3501,3554">cocientes</WORD>
</LINE>
<LINE>
<WORD coords="617,3642,683,3584,3642">la</WORD>
<WORD coords="765,3665,1306,3588,3645">multiplicación,</WORD>
<WORD coords="1366,3651,1584,3594,3650">tendré</WORD>
<WORD coords="1671,3653,1705,3606,3653">2</WORD>
<WORD coords="1738,3675,1807,3602,3675">X</WORD>
<WORD coords="1850,3655,1883,3606,3655">2</WORD>
<WORD coords="1916,3628,2021,3613,3645">~</WORD>
<WORD coords="2052,3668,2090,3605,3668">4</WORD>
<WORD coords="2119,3669,2133,3621,3669">\</WORD>
<WORD coords="2204,3678,2327,3621,3655">voy</WORD>
<WORD coords="2388,3657,2415,3606,3657">á</WORD>
<WORD coords="2481,3661,2828,3604,3659">demostrar</WORD>
<WORD coords="2884,3679,3003,3622,3662">que</WORD>
</LINE>
<LINE>
<WORD coords="628,3751,686,3694,3749">el</WORD>
<WORD coords="764,3749,969,3711,3748">nuevo</WORD>
<WORD coords="1015,3771,1321,3700,3754">producto</WORD>
<WORD coords="1379,3756,1421,3705,3758">4</WORD>
<WORD coords="1478,3775,1775,3702,3757">proviene</WORD>
<WORD coords="1847,3762,1924,3704,3761">de</WORD>
<WORD coords="1978,3761,2169,3703,3760">haber</WORD>
<WORD coords="2227,3766,2521,3707,3764">dividido</WORD>
<WORD coords="2566,3767,2624,3710,3766">el</WORD>
<WORD coords="2696,3785,3002,3710,3767">producto</WORD>
</LINE>
<LINE>
<WORD coords="617,3878,948,3798,3856">primitivo</WORD>
<WORD coords="1005,3859,1084,3810,3860">24</WORD>
<WORD coords="1132,3878,1246,3823,3860">por</WORD>
<WORD coords="1301,3862,1336,3815,3862">2</WORD>
<WORD coords="1398,3864,1579,3825,3863">veces</WORD>
<WORD coords="1624,3862,1657,3814,3862">3</WORD>
<WORD coords="1715,3886,1883,3810,3866">igual</WORD>
<WORD coords="1927,3867,1955,3812,3867">á</WORD>
<WORD coords="2015,3870,2073,3815,3868">6.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="870,3974,1364,3908,3969">Demostración.</WORD>
<WORD coords="1458,3974,1526,3914,3972">Si</WORD>
<WORD coords="1582,3975,1715,3916,3973">solo</WORD>
<WORD coords="1771,3981,2084,3917,3977">dividiera</WORD>
<WORD coords="2151,3981,2209,3921,3980">el</WORD>
<WORD coords="2260,3987,2460,3921,3983">íactor</WORD>
<WORD coords="2512,3986,2555,3931,3986">4</WORD>
<WORD coords="2624,4007,2736,3948,3987">por</WORD>
<WORD coords="2796,3988,2843,3936,3988">%</WORD>
<WORD coords="2859,4006,2879,3973,4006">%</WORD>
<WORD coords="2936,3991,3001,3926,3989">el</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0060.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0061.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0061.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1334,448,1466,352,447">51</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="243,591,564,510,566">producto</WORD>
<WORD coords="617,566,776,512,565">seria</WORD>
<WORD coords="810,595,1044,507,565">(Teor.</WORD>
<WORD coords="1096,582,1345,513,569">anter.J</WORD>
<WORD coords="1376,567,1453,518,565">24.</WORD>
<WORD coords="1490,572,1503,537,571">;</WORD>
<WORD coords="1538,570,1571,521,570">2</WORD>
<WORD coords="1609,580,1622,536,580">;</WORD>
<WORD coords="1670,589,1706,531,579">y</WORD>
<WORD coords="1756,569,1805,514,568">si</WORD>
<WORD coords="1841,569,1974,515,568">solo</WORD>
<WORD coords="2033,573,2342,512,570">dividiera</WORD>
<WORD coords="2401,574,2450,516,570">el</WORD>
<WORD coords="2489,572,2517,518,572">f</WORD>
<WORD coords="2554,576,2610,543,576">c</WORD>
</LINE>
<LINE>
<WORD coords="241,681,339,625,676">for</WORD>
<WORD coords="394,671,430,621,673">6</WORD>
<WORD coords="477,690,582,635,670">por</WORD>
<WORD coords="633,688,709,623,678">3,</WORD>
<WORD coords="735,672,789,622,672">el</WORD>
<WORD coords="843,691,1146,618,672">producto</WORD>
<WORD coords="1192,674,1350,617,671">seria</WORD>
<WORD coords="1408,692,1652,625,679">24:3;</WORD>
<WORD coords="1719,693,1862,640,675">¡,ero</WORD>
<WORD coords="1923,678,2101,640,676">como</WORD>
<WORD coords="2157,680,2183,646,680">a</WORD>
<WORD coords="2254,682,2332,647,682">un</WORD>
<WORD coords="2388,684,2610,626,682">mismo</WORD>
</LINE>
<LINE>
<WORD coords="237,797,473,725,779">tiempo</WORD>
<WORD coords="527,780,606,723,779">he</WORD>
<WORD coords="669,780,957,724,778">dividido</WORD>
<WORD coords="1012,779,1066,724,779">el</WORD>
<WORD coords="1119,782,1194,745,781">un</WORD>
<WORD coords="1256,783,1454,724,781">factor</WORD>
<WORD coords="1503,802,1608,748,783">por</WORD>
<WORD coords="1671,785,1704,738,785">2</WORD>
<WORD coords="1760,801,1796,751,793">y</WORD>
<WORD coords="1856,785,1911,732,785">el</WORD>
<WORD coords="1958,791,2095,742,789">otro</WORD>
<WORD coords="2148,801,2257,752,785">por</WORD>
<WORD coords="2302,788,2331,737,788">3</WORD>
<WORD coords="2370,803,2384,780,798">,</WORD>
<WORD coords="2421,794,2608,733,792">debe*</WORD>
</LINE>
<LINE>
<WORD coords="232,886,301,847,885">ye</WORD>
<WORD coords="359,886,544,828,885">hacer</WORD>
<WORD coords="592,886,648,834,885">lo</WORD>
<WORD coords="707,891,935,830,888">mismo</WORD>
<WORD coords="996,888,1109,851,888">con</WORD>
<WORD coords="1165,888,1215,833,883">el</WORD>
<WORD coords="1281,907,1585,833,887">producto</WORD>
<WORD coords="1638,892,1713,836,891">de</WORD>
<WORD coords="1761,894,1888,849,892">este</WORD>
<WORD coords="1945,894,2133,840,893">modo</WORD>
<WORD coords="2188,919,2300,846,901">(24</WORD>
<WORD coords="2338,897,2348,862,897">:</WORD>
<WORD coords="2400,914,2462,847,903">2)</WORD>
<WORD coords="2500,899,2511,865,899">:</WORD>
<WORD coords="2547,907,2599,856,904">3.</WORD>
</LINE>
<LINE>
<WORD coords="236,1008,511,936,992">Ahora,</WORD>
<WORD coords="561,995,741,956,992">como</WORD>
<WORD coords="797,996,1033,939,994">dividir</WORD>
<WORD coords="1098,997,1179,945,997">24</WORD>
<WORD coords="1225,1014,1335,959,992">por</WORD>
<WORD coords="1381,995,1416,949,997">2</WORD>
<WORD coords="1474,996,1538,961,996">es</WORD>
<WORD coords="1590,996,1649,941,996">lo</WORD>
<WORD coords="1724,1003,1948,944,999">mismo</WORD>
<WORD coords="1998,1027,2322,951,1004">(&quot;axioma</WORD>
<WORD coords="2399,1011,2462,961,1005">3.</WORD>
<WORD coords="2496,989,2530,961,994">°</WORD>
<WORD coords="2559,1028,2604,957,1028">J</WORD>
</LINE>
<LINE>
<WORD coords="232,1121,354,1064,1101">que</WORD>
<WORD coords="403,1102,640,1045,1101">dividir</WORD>
<WORD coords="701,1104,852,1046,1103">cada</WORD>
<WORD coords="902,1106,1136,1048,1104">unidad</WORD>
<WORD coords="1197,1105,1297,1049,1104">del</WORD>
<WORD coords="1356,1105,1436,1055,1105">24</WORD>
<WORD coords="1495,1105,1565,1067,1104">en</WORD>
<WORD coords="1624,1107,1659,1061,1107">2</WORD>
<WORD coords="1732,1126,1933,1066,1106">partes</WORD>
<WORD coords="1994,1130,2229,1053,1109">iguales</WORD>
<WORD coords="2262,1128,2281,1101,1123">,</WORD>
<WORD coords="2362,1118,2495,1079,1115">sera</WORD>
<WORD coords="2548,1117,2606,1059,1116">el</WORD>
</LINE>
<LINE>
<WORD coords="229,1208,508,1152,1206">cociente</WORD>
<WORD coords="555,1210,637,1157,1211">24</WORD>
<WORD coords="690,1210,930,1155,1209">medios</WORD>
<WORD coords="980,1212,1014,1178,1212">o</WORD>
<WORD coords="1069,1212,1330,1156,1210">mitades</WORD>
<WORD coords="1368,1217,1384,1181,1217">;</WORD>
<WORD coords="1424,1232,1463,1177,1223">y</WORD>
<WORD coords="1512,1215,1689,1177,1213">como</WORD>
<WORD coords="1749,1216,1878,1172,1215">este</WORD>
<WORD coords="1928,1217,2204,1160,1215">cociente</WORD>
<WORD coords="2242,1233,2259,1207,1233">,</WORD>
<WORD coords="2301,1243,2492,1186,1222">según</WORD>
<WORD coords="2552,1236,2607,1176,1232">la</WORD>
</LINE>
<LINE>
<WORD coords="231,1316,584,1259,1315">indicación</WORD>
<WORD coords="622,1332,639,1304,1327">,</WORD>
<WORD coords="682,1317,746,1280,1316">se</WORD>
<WORD coords="804,1318,957,1262,1317">debe</WORD>
<WORD coords="1008,1320,1244,1263,1319">dividir</WORD>
<WORD coords="1293,1339,1404,1284,1319">por</WORD>
<WORD coords="1460,1319,1492,1269,1321">3</WORD>
<WORD coords="1529,1336,1544,1310,1330">,</WORD>
<WORD coords="1590,1324,1950,1265,1321">tendremos</WORD>
<WORD coords="2009,1341,2127,1287,1323">que</WORD>
<WORD coords="2207,1333,2445,1271,1329">dividir</WORD>
<WORD coords="2507,1342,2607,1304,1340">ca-</WORD>
</LINE>
<LINE>
<WORD coords="230,1424,311,1366,1424">da</WORD>
<WORD coords="369,1424,561,1367,1422">mitad</WORD>
<WORD coords="598,1423,671,1387,1423">en</WORD>
<WORD coords="717,1423,749,1374,1425">3</WORD>
<WORD coords="807,1442,1008,1382,1425">partes</WORD>
<WORD coords="1043,1447,1280,1370,1426">iguales</WORD>
<WORD coords="1302,1440,1321,1392,1428">;</WORD>
<WORD coords="1354,1427,1404,1372,1426">si</WORD>
<WORD coords="1460,1428,1610,1372,1426">cada</WORD>
<WORD coords="1660,1429,1850,1373,1428">mitad</WORD>
<WORD coords="1898,1430,2059,1373,1428">tiene</WORD>
<WORD coords="2094,1431,2128,1384,1431">3</WORD>
<WORD coords="2178,1450,2378,1391,1434">partes</WORD>
<WORD coords="2433,1440,2496,1386,1440">i^</WORD>
<WORD coords="2504,1449,2580,1412,1448">ua</WORD>
<WORD coords="2589,1438,2607,1426,1438">.</WORD>
</LINE>
<LINE>
<WORD coords="233,1530,324,1473,1529">les</WORD>
<WORD coords="352,1547,370,1518,1542">,</WORD>
<WORD coords="427,1532,492,1494,1531">se</WORD>
<WORD coords="542,1532,785,1475,1530">deduce</WORD>
<WORD coords="832,1547,952,1496,1532">que</WORD>
<WORD coords="1000,1533,1154,1478,1532">cada</WORD>
<WORD coords="1214,1535,1447,1479,1533">unidad</WORD>
<WORD coords="1511,1536,1728,1484,1534">tendrá</WORD>
<WORD coords="1776,1534,1812,1484,1535">6</WORD>
<WORD coords="1861,1557,1953,1500,1537">pai</WORD>
<WORD coords="1972,1538,2065,1494,1537">tes</WORD>
<WORD coords="2139,1561,2374,1483,1543">iguales</WORD>
<WORD coords="2436,1552,2471,1498,1552">ó</WORD>
<WORD coords="2546,1558,2613,1520,1556">se</WORD>
</LINE>
<LINE>
<WORD coords="241,1637,433,1577,1634">habrá</WORD>
<WORD coords="492,1639,782,1578,1636">dividido</WORD>
<WORD coords="839,1654,947,1602,1637">por</WORD>
<WORD coords="1011,1640,1070,1587,1640">6.</WORD>
<WORD coords="1169,1641,1327,1585,1640">Pero</WORD>
<WORD coords="1374,1643,1814,1586,1641">dividiéndose</WORD>
<WORD coords="1870,1643,2022,1586,1642">cada</WORD>
<WORD coords="2084,1653,2318,1594,1648">unidad</WORD>
<WORD coords="2368,1673,2478,1621,1658">por</WORD>
<WORD coords="2539,1664,2576,1613,1664">6</WORD>
</LINE>
<LINE>
<WORD coords="241,1741,304,1682,1740">lo</WORD>
<WORD coords="347,1742,425,1684,1742">ha</WORD>
<WORD coords="481,1762,771,1688,1744">quedado</WORD>
<WORD coords="819,1746,873,1692,1745">el</WORD>
<WORD coords="927,1746,1075,1690,1745">total</WORD>
<WORD coords="1132,1748,1211,1695,1748">24</WORD>
<WORD coords="1239,1752,1255,1714,1752">;</WORD>
<WORD coords="1285,1770,1468,1692,1747">luego</WORD>
<WORD coords="1524,1749,1580,1693,1748">el</WORD>
<WORD coords="1629,1749,1710,1701,1749">24</WORD>
<WORD coords="1765,1769,1968,1693,1750">queda</WORD>
<WORD coords="2025,1759,2319,1694,1754">dividido</WORD>
<WORD coords="2361,1782,2468,1723,1765">por</WORD>
<WORD coords="2545,1789,2608,1721,1779">6,</WORD>
</LINE>
<LINE>
<WORD coords="245,1868,554,1793,1848">producto</WORD>
<WORD coords="600,1870,718,1815,1853">que</WORD>
<WORD coords="774,1872,1070,1796,1852">proviene</WORD>
<WORD coords="1117,1855,1194,1800,1855">de</WORD>
<WORD coords="1240,1876,1619,1800,1856">multiplicar</WORD>
<WORD coords="1673,1858,1842,1814,1856">entre</WORD>
<WORD coords="1900,1858,1952,1802,1857">si</WORD>
<WORD coords="1998,1860,2088,1804,1859">los</WORD>
<WORD coords="2147,1875,2437,1824,1869">números</WORD>
<WORD coords="2499,1877,2533,1830,1877">2</WORD>
<WORD coords="2562,1901,2609,1844,1901">y</WORD>
</LINE>
<LINE>
<WORD coords="243,1958,279,1905,1959">3</WORD>
<WORD coords="342,1974,460,1920,1956">que</WORD>
<WORD coords="510,1960,864,1900,1957">dividieron</WORD>
<WORD coords="925,1960,954,1904,1960">á</WORD>
<WORD coords="1014,1961,1104,1905,1959">los</WORD>
<WORD coords="1152,1963,1438,1904,1961">factores.</WORD>
<WORD coords="1534,1964,1610,1907,1964">L.</WORD>
<WORD coords="1665,1979,1748,1909,1970">Q.</WORD>
<WORD coords="1805,1965,1880,1909,1965">D.</WORD>
<WORD coords="1946,1967,2023,1912,1966">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="357,2064,453,2011,2063">92.</WORD>
<WORD coords="552,2067,755,2005,2064">Coro!.</WORD>
<WORD coords="853,2067,948,2009,2065">De</WORD>
<WORD coords="1015,2067,1072,2012,2066">lo</WORD>
<WORD coords="1111,2069,1294,2009,2067">dicho</WORD>
<WORD coords="1354,2095,1649,2016,2079">[88,89]</WORD>
<WORD coords="1708,2074,1773,2039,2074">se</WORD>
<WORD coords="1821,2098,2040,2021,2077">sigue;</WORD>
<WORD coords="2103,2088,2217,2011,2082">¿á</WORD>
<WORD coords="2272,2106,2389,2051,2087">qne</WORD>
<WORD coords="2449,2094,2543,2056,2092">mu</WORD>
<WORD coords="2548,2094,2599,2037,2090">¡„</WORD>
</LINE>
<LINE>
<WORD coords="242,2191,494,2110,2168">tipficar</WORD>
<WORD coords="553,2171,640,2115,2170">los</WORD>
<WORD coords="678,2194,966,2114,2174">factores</WORD>
<WORD coords="1000,2187,1015,2162,2184">,</WORD>
<WORD coords="1060,2173,1120,2137,2173">es</WORD>
<WORD coords="1180,2201,1552,2124,2177">multiplicar</WORD>
<WORD coords="1602,2185,1660,2126,2183">el</WORD>
<WORD coords="1687,2208,1985,2130,2185">producto</WORD>
<WORD coords="2020,2192,2039,2153,2190">;</WORD>
<WORD coords="2086,2189,2177,2134,2189">asi</WORD>
<WORD coords="2209,2207,2225,2179,2200">,</WORD>
<WORD coords="2282,2193,2334,2138,2192">si</WORD>
<WORD coords="2381,2213,2604,2144,2199">quiero</WORD>
</LINE>
<LINE>
<WORD coords="241,2278,623,2220,2276">multiolicar</WORD>
<WORD coords="682,2279,717,2231,2283">8</WORD>
<WORD coords="789,2296,898,2243,2277">por</WORD>
<WORD coords="942,2282,976,2231,2285">3</WORD>
<WORD coords="1010,2300,1026,2214,2299">\</WORD>
<WORD coords="1090,2299,1295,2229,2283">puedo</WORD>
<WORD coords="1360,2335,1484,2233,2286">ri^I</WORD>
<WORD coords="1496,2288,1539,2233,2285">ti</WORD>
<WORD coords="1553,2302,1741,2233,2288">plicar</WORD>
<WORD coords="1795,2292,1847,2236,2291">el</WORD>
<WORD coords="1901,2295,2100,2235,2294">£*ctor</WORD>
<WORD coords="2147,2296,2185,2248,2296">2</WORD>
<WORD coords="2260,2300,2359,2244,2299">del</WORD>
<WORD coords="2415,2304,2447,2257,2304">8</WORD>
<WORD coords="2497,2324,2610,2269,2306">por</WORD>
</LINE>
<LINE>
<WORD coords="242,2380,275,2329,2387">3</WORD>
<WORD coords="309,2394,323,2369,2394">,</WORD>
<WORD coords="355,2402,393,2345,2398">y</WORD>
<WORD coords="455,2382,511,2328,2382">el</WORD>
<WORD coords="565,2402,866,2330,2384">producto</WORD>
<WORD coords="914,2386,949,2337,2390">6</WORD>
<WORD coords="996,2408,1371,2333,2389">multiplicar</WORD>
<WORD coords="1430,2411,1538,2356,2393">por</WORD>
<WORD coords="1592,2396,1645,2340,2395">el</WORD>
<WORD coords="1694,2399,1832,2353,2396">otro</WORD>
<WORD coords="1893,2402,2090,2342,2400">factor</WORD>
<WORD coords="2131,2410,2194,2352,2406">4.</WORD>
<WORD coords="2289,2407,2345,2359,2402">2.</WORD>
<WORD coords="2375,2392,2409,2357,2393">°</WORD>
<WORD coords="2477,2415,2610,2356,2412">6h¿e</WORD>
</LINE>
<LINE>
<WORD coords="223,2510,391,2429,2487">para</WORD>
<WORD coords="450,2513,821,2435,2490">multiplicar</WORD>
<WORD coords="873,2494,955,2456,2494">un</WORD>
<WORD coords="1014,2501,1262,2458,2497">numero</WORD>
<WORD coords="1303,2518,1419,2454,2501">por</WORD>
<WORD coords="1478,2504,1609,2456,2502">otro</WORD>
<WORD coords="1661,2528,1773,2468,2505">que</WORD>
<WORD coords="1825,2506,1889,2470,2505">se</WORD>
<WORD coords="1921,2529,2126,2454,2509">pueda</WORD>
<WORD coords="2178,2538,2604,2457,2515">descomponer</WORD>
</LINE>
<LINE>
<WORD coords="235,2595,307,2556,2594">en</WORD>
<WORD coords="334,2619,621,2537,2599">factores</WORD>
<WORD coords="649,2614,666,2586,2614">,</WORD>
<WORD coords="716,2620,1001,2545,2601">podemos</WORD>
<WORD coords="1039,2627,1414,2550,2605">multiplicar</WORD>
<WORD coords="1458,2610,1516,2555,2610">el</WORD>
<WORD coords="1565,2614,1810,2575,2612">numero</WORD>
<WORD coords="1850,2638,1970,2569,2616">por</WORD>
<WORD coords="2014,2617,2069,2564,2617">el</WORD>
<WORD coords="2107,2641,2345,2566,2620">primer</WORD>
<WORD coords="2380,2645,2606,2565,2627">factor</WORD>
</LINE>
<LINE>
<WORD coords="232,2701,331,2645,2700">del</WORD>
<WORD coords="384,2719,830,2649,2704">multiplicador</WORD>
<WORD coords="860,2725,887,2679,2725">;</WORD>
<WORD coords="950,2735,1128,2653,2710">luego</WORD>
<WORD coords="1204,2713,1326,2668,2712">este</WORD>
<WORD coords="1361,2738,1662,2664,2718">producto</WORD>
<WORD coords="1725,2744,1847,2677,2723">por</WORD>
<WORD coords="1911,2724,1968,2670,2723">el</WORD>
<WORD coords="2020,2745,2288,2673,2726">segundo</WORD>
<WORD coords="2346,2752,2573,2671,2734">f:ctor</WORD>
<WORD coords="2573,2739,2594,2716,2739">p</WORD>
</LINE>
<LINE>
<WORD coords="233,2829,484,2751,2808">después</WORD>
<WORD coords="537,2813,660,2768,2813">este</WORD>
<WORD coords="694,2836,742,2769,2830">p</WORD>
<WORD coords="786,2818,992,2759,2816">oducto</WORD>
<WORD coords="1032,2839,1153,2774,2818">por</WORD>
<WORD coords="1208,2820,1265,2764,2819">el</WORD>
<WORD coords="1331,2828,1529,2778,2823">tercer</WORD>
<WORD coords="1552,2849,1771,2768,2831">factor</WORD>
<WORD coords="1817,2850,1859,2793,2841">y</WORD>
<WORD coords="1904,2832,1998,2778,2831">asi</WORD>
<WORD coords="2057,2834,2129,2797,2833">en</WORD>
<WORD coords="2177,2839,2451,2781,2836">adelante</WORD>
<WORD coords="2485,2854,2499,2829,2854">,</WORD>
<WORD coords="2554,2860,2600,2803,2860">y</WORD>
</LINE>
<LINE>
<WORD coords="230,2914,289,2858,2914">ti</WORD>
<WORD coords="340,2920,547,2861,2917">ultimo</WORD>
<WORD coords="593,2941,891,2867,2922">producto</WORD>
<WORD coords="938,2927,1079,2887,2925">sera</WORD>
<WORD coords="1129,2927,1183,2879,2926">el</WORD>
<WORD coords="1209,2949,1452,2874,2929">pedido.</WORD>
<WORD coords="1551,2957,1840,2878,2936">Ejemplo</WORD>
<WORD coords="1873,2941,1887,2905,2941">:</WORD>
<WORD coords="1943,2961,2423,2884,2941">Multipliqúese</WORD>
<WORD coords="2481,2948,2596,2899,2946">125</WORD>
</LINE>
<LINE>
<WORD coords="230,3043,359,2974,3021">por*</WORD>
<WORD coords="379,3034,502,2975,3033">42;</WORD>
<WORD coords="546,3029,638,2971,3027">los</WORD>
<WORD coords="698,3032,966,2973,3030">factores</WORD>
<WORD coords="1028,3033,1128,2977,3033">del</WORD>
<WORD coords="1178,3040,1258,2988,3039">42</WORD>
<WORD coords="1329,3040,1440,3003,3039">son</WORD>
<WORD coords="1484,3042,1519,2994,3042">2</WORD>
<WORD coords="1555,3056,1570,3031,3049">,</WORD>
<WORD coords="1621,3042,1653,2994,3042">3</WORD>
<WORD coords="1700,3064,1741,3008,3063">y</WORD>
<WORD coords="1812,3062,1889,2993,3056">7,</WORD>
<WORD coords="1952,3061,2099,3011,3047">pues</WORD>
<WORD coords="2174,3076,2594,2995,3053">multiplicaré</WORD>
</LINE>
<LINE>
<WORD coords="237,3130,354,3078,3133">125</WORD>
<WORD coords="415,3150,523,3095,3132">por</WORD>
<WORD coords="583,3136,638,3078,3135">el</WORD>
<WORD coords="692,3138,891,3079,3136">factor</WORD>
<WORD coords="950,3159,1029,3091,3152">2,</WORD>
<WORD coords="1075,3162,1115,3105,3154">y</WORD>
<WORD coords="1179,3144,1275,3108,3144">me</WORD>
<WORD coords="1323,3146,1399,3091,3145">da</WORD>
<WORD coords="1459,3147,1625,3099,3146">250:</WORD>
<WORD coords="1678,3151,1805,3105,3148">este</WORD>
<WORD coords="1875,3169,2179,3098,3153">producto</WORD>
<WORD coords="2248,3160,2423,3104,3157">multi</WORD>
<WORD coords="2440,3181,2596,3104,3161">pilco</WORD>
</LINE>
<LINE>
<WORD coords="231,3255,344,3198,3238">por</WORD>
<WORD coords="403,3241,462,3186,3240">el</WORD>
<WORD coords="514,3244,649,3197,3240">rtro</WORD>
<WORD coords="712,3247,916,3186,3245">factor</WORD>
<WORD coords="965,3263,1049,3199,3257">3,</WORD>
<WORD coords="1100,3269,1139,3214,3261">y</WORD>
<WORD coords="1201,3252,1296,3215,3252">me</WORD>
<WORD coords="1346,3255,1574,3200,3253">resulta</WORD>
<WORD coords="1646,3268,1766,3191,3261">fSO</WORD>
<WORD coords="1793,3261,1816,3223,3261">i</WORD>
<WORD coords="1839,3213,1846,3207,3233">&apos;</WORD>
<WORD coords="1865,3284,2050,3203,3261">luego</WORD>
<WORD coords="2100,3263,2228,3219,3262">este</WORD>
<WORD coords="2291,3282,2594,3210,3264">producto</WORD>
</LINE>
<LINE>
<WORD coords="223,3363,573,3289,3345">multiplico</WORD>
<WORD coords="605,3366,713,3311,3348">por</WORD>
<WORD coords="745,3354,799,3299,3353">el</WORD>
<WORD coords="851,3357,1069,3296,3353">ultimo</WORD>
<WORD coords="1101,3360,1298,3299,3357">factor</WORD>
<WORD coords="1336,3362,1370,3310,3362">7</WORD>
<WORD coords="1411,3380,1451,3324,3380">y</WORD>
<WORD coords="1484,3382,1748,3307,3360">obtengo</WORD>
<WORD coords="1785,3367,1948,3316,3365">5250</WORD>
<WORD coords="1999,3385,2299,3314,3369">producto</WORD>
<WORD coords="2336,3388,2591,3316,3369">pedido.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="314,3459,423,3399,3457">93.</WORD>
<WORD coords="520,3458,638,3400,3456">Cor</WORD>
<WORD coords="645,3460,718,3403,3459">oh</WORD>
<WORD coords="813,3463,1002,3405,3460">Délo</WORD>
<WORD coords="1063,3465,1247,3407,3463">dicho</WORD>
<WORD coords="1284,3490,1396,3414,3475">(90</WORD>
<WORD coords="1429,3481,1443,3457,3481">,</WORD>
<WORD coords="1478,3484,1587,3415,3475">91)</WORD>
<WORD coords="1626,3484,1642,3459,3478">,</WORD>
<WORD coords="1680,3472,1741,3435,3471">se</WORD>
<WORD coords="1797,3488,2015,3418,3471">sigue;</WORD>
<WORD coords="2078,3476,2126,3428,3473">1.</WORD>
<WORD coords="2157,3457,2190,3423,3457">c</WORD>
<WORD coords="2247,3477,2376,3420,3476">®ne</WORD>
<WORD coords="2434,3481,2590,3421,3478">divi.</WORD>
</LINE>
<LINE>
<WORD coords="228,3560,332,3502,3558">dir</WORD>
<WORD coords="374,3562,460,3506,3561">los</WORD>
<WORD coords="487,3583,776,3492,3567">factores</WORD>
<WORD coords="825,3569,884,3532,3568">es</WORD>
<WORD coords="939,3574,1171,3514,3570">dividir</WORD>
<WORD coords="1241,3572,1295,3520,3571">el</WORD>
<WORD coords="1323,3594,1677,3520,3573">producto;</WORD>
<WORD coords="1740,3593,1876,3523,3576">asi,</WORD>
<WORD coords="1933,3579,1982,3523,3579">si</WORD>
<WORD coords="2062,3600,2278,3526,3581">quiero</WORD>
<WORD coords="2352,3585,2588,3528,3582">dividir</WORD>
</LINE>
<LINE>
<WORD coords="226,3669,311,3618,3672">24</WORD>
<WORD coords="366,3689,477,3634,3671">por</WORD>
<WORD coords="531,3686,618,3622,3678">2,</WORD>
<WORD coords="664,3676,841,3636,3674">como</WORD>
<WORD coords="889,3678,979,3620,3675">los</WORD>
<WORD coords="1041,3680,1307,3621,3678">factores</WORD>
<WORD coords="1362,3679,1439,3624,3679">de</WORD>
<WORD coords="1494,3683,1574,3634,3682">24</WORD>
<WORD coords="1624,3683,1735,3647,3682">son</WORD>
<WORD coords="1788,3684,1828,3633,3684">4</WORD>
<WORD coords="1876,3706,1916,3650,3704">y</WORD>
<WORD coords="1987,3703,2071,3635,3692">6,</WORD>
<WORD coords="2115,3689,2352,3634,3687">bastara</WORD>
<WORD coords="2426,3689,2585,3635,3687">divi-</WORD>
</LINE>
<LINE>
<WORD coords="229,3777,331,3719,3775">dir</WORD>
<WORD coords="379,3778,431,3723,3777">el</WORD>
<WORD coords="484,3779,523,3729,3783">4</WORD>
<WORD coords="566,3798,674,3744,3781">por</WORD>
<WORD coords="717,3784,790,3735,3785">2:</WORD>
<WORD coords="855,3803,894,3748,3795">y</WORD>
<WORD coords="945,3785,1000,3730,3784">el</WORD>
<WORD coords="1058,3788,1336,3734,3786">cociente</WORD>
<WORD coords="1396,3787,1429,3742,3787">2</WORD>
<WORD coords="1498,3810,1939,3735,3789">multiplicarlo</WORD>
<WORD coords="2014,3812,2120,3758,3793">por</WORD>
<WORD coords="2177,3795,2233,3738,3793">el</WORD>
<WORD coords="2278,3796,2411,3750,3795">otro</WORD>
<WORD coords="2460,3796,2584,3736,3795">fac-</WORD>
</LINE>
<LINE>
<WORD coords="227,3888,323,3835,3884">tor</WORD>
<WORD coords="379,3896,461,3836,3892">6;</WORD>
<WORD coords="502,3893,563,3833,3891">el</WORD>
<WORD coords="619,3909,921,3835,3892">producto</WORD>
<WORD coords="980,3895,1054,3846,3894">12</WORD>
<WORD coords="1098,3894,1230,3859,3893">sera</WORD>
<WORD coords="1273,3897,1326,3840,3896">el</WORD>
<WORD coords="1383,3897,1660,3839,3894">cociente</WORD>
<WORD coords="1717,3915,1970,3843,3897">pedido.</WORD>
<WORD coords="2065,3903,2184,3850,3898">2.°</WORD>
<WORD coords="2252,3926,2385,3844,3896">§&gt;¿te</WORD>
<WORD coords="2430,3910,2583,3856,3894">para</WORD>
</LINE>
<LINE>
<WORD coords="224,4003,454,3937,3996">dividir</WORD>
<WORD coords="494,4002,590,3959,4001">un</WORD>
<WORD coords="634,4001,891,3952,3999">numeré</WORD>
<WORD coords="928,4029,1053,3956,4003">por</WORD>
<WORD coords="1111,4010,1243,3955,4006">otro,</WORD>
<WORD coords="1273,4015,1289,3987,4009">%</WORD>
<WORD coords="1355,4004,1467,3964,4003">cae</WORD>
<WORD coords="1517,4004,1582,3966,4003">se</WORD>
<WORD coords="1613,4027,1822,3949,4005">pueda,</WORD>
<WORD coords="1873,4033,2292,3950,4008">descomponer</WORD>
<WORD coords="2331,4004,2401,3968,4003">en</WORD>
<WORD coords="2432,4025,2579,3944,4013">f^c&gt;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0061.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0062.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0062.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1764,392,1912,300,391">52</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="656,508,818,455,505">teres</WORD>
<WORD coords="853,512,873,470,512">;</WORD>
<WORD coords="931,507,994,470,506">se</WORD>
<WORD coords="1039,512,1310,450,507">dividirá</WORD>
<WORD coords="1353,518,1427,450,507">el,</WORD>
<WORD coords="1479,510,1725,471,509">numero</WORD>
<WORD coords="1768,530,1887,468,509">p$r</WORD>
<WORD coords="1947,511,2003,455,510">el</WORD>
<WORD coords="2064,527,2296,465,511">primer</WORD>
<WORD coords="2336,538,2557,455,519">factor</WORD>
<WORD coords="2588,533,2603,504,533">,</WORD>
<WORD coords="2663,540,2837,462,519">luego</WORD>
<WORD coords="2854,507,2863,502,512">-</WORD>
<WORD coords="2892,554,3020,476,525">esfg</WORD>
</LINE>
<LINE>
<WORD coords="645,615,911,561,612">cociente</WORD>
<WORD coords="967,628,1080,570,613">por</WORD>
<WORD coords="1129,615,1185,561,614">el</WORD>
<WORD coords="1236,616,1367,570,614">otro</WORD>
<WORD coords="1398,639,1620,560,619">factor</WORD>
<WORD coords="1651,623,1672,583,623">;</WORD>
<WORD coords="1727,638,1981,561,616">después</WORD>
<WORD coords="2029,620,2153,574,619">este</WORD>
<WORD coords="2207,621,2478,567,620">cociente</WORD>
<WORD coords="2514,643,2636,577,622">por</WORD>
<WORD coords="2690,627,2748,572,626">el</WORD>
<WORD coords="2792,647,3023,568,630">factor</WORD>
</LINE>
<LINE>
<WORD coords="642,745,758,686,719">que</WORD>
<WORD coords="811,742,989,668,719">sigue</WORD>
<WORD coords="1046,743,1087,686,734">y</WORD>
<WORD coords="1145,722,1237,668,720">asi</WORD>
<WORD coords="1297,722,1370,685,721">en</WORD>
<WORD coords="1425,723,1702,666,721">adelante</WORD>
<WORD coords="1729,740,1746,692,732">;</WORD>
<WORD coords="1795,723,1850,668,722">el</WORD>
<WORD coords="1905,725,2112,669,724">ultimo</WORD>
<WORD coords="2168,727,2430,675,725">cociente</WORD>
<WORD coords="2480,728,2620,690,726">sera</WORD>
<WORD coords="2667,730,2721,677,729">el</WORD>
<WORD coords="2757,753,2998,680,734">pedido,</WORD>
</LINE>
<LINE>
<WORD coords="646,848,727,771,827">ftj</WORD>
<WORD coords="741,846,942,779,826">enripio</WORD>
<WORD coords="991,831,1005,795,831">:</WORD>
<WORD coords="1098,827,1159,773,827">Sí</WORD>
<WORD coords="1210,847,1426,776,827">quiero</WORD>
<WORD coords="1481,830,1718,772,828">dividir</WORD>
<WORD coords="1776,831,1854,780,830">24</WORD>
<WORD coords="1911,849,2022,793,830">por</WORD>
<WORD coords="2076,830,2113,781,830">6</WORD>
<WORD coords="2145,855,2166,823,855">f</WORD>
<WORD coords="2228,847,2419,794,831">cuyos</WORD>
<WORD coords="2465,835,2735,776,833">factores</WORD>
<WORD coords="2804,839,2913,803,837">son</WORD>
<WORD coords="2967,843,3006,793,843">2</WORD>
</LINE>
<LINE>
<WORD coords="639,957,679,900,948">y</WORD>
<WORD coords="743,933,775,885,936">3</WORD>
<WORD coords="821,940,831,923,939">,</WORD>
<WORD coords="865,932,921,878,932">lo</WORD>
<WORD coords="983,935,1254,877,931">dividiré</WORD>
<WORD coords="1317,952,1585,878,935">primero</WORD>
<WORD coords="1644,957,1754,897,935">por</WORD>
<WORD coords="1802,955,1878,891,949">2,</WORD>
<WORD coords="1907,957,1945,898,948">y</WORD>
<WORD coords="2005,938,2062,882,937">el</WORD>
<WORD coords="2108,939,2384,882,937">cutiente</WORD>
<WORD coords="2444,941,2517,892,940">12</WORD>
<WORD coords="2577,945,2847,885,941">dividiré</WORD>
<WORD coords="2897,965,3010,907,948">por</WORD>
</LINE>
<LINE>
<WORD coords="640,1043,696,989,1042">el</WORD>
<WORD coords="754,1041,887,998,1040">otro</WORD>
<WORD coords="943,1041,1141,984,1040">factor</WORD>
<WORD coords="1203,1039,1233,992,1041">3</WORD>
<WORD coords="1268,1056,1284,1030,1056">,</WORD>
<WORD coords="1342,1061,1501,1005,1041">cuyo</WORD>
<WORD coords="1553,1045,1829,989,1043">cociente</WORD>
<WORD coords="1887,1045,1929,996,1045">4</WORD>
<WORD coords="1980,1045,2116,1008,1044">sera</WORD>
<WORD coords="2167,1045,2223,989,1044">el</WORD>
<WORD coords="2292,1064,2547,988,1046">pedido.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="893,1148,948,1096,1148">3.</WORD>
<WORD coords="977,1130,1012,1095,1140">°</WORD>
<WORD coords="1127,1155,1265,1092,1149">-§&gt;ue</WORD>
<WORD coords="1306,1168,1466,1104,1148">para</WORD>
<WORD coords="1524,1150,1756,1094,1149">dividir</WORD>
<WORD coords="1815,1151,1896,1114,1151">un</WORD>
<WORD coords="1943,1153,2189,1114,1152">mañero</WORD>
<WORD coords="2227,1172,2348,1106,1152">por</WORD>
<WORD coords="2409,1154,2541,1106,1153">otro</WORD>
<WORD coords="2574,1169,2592,1137,1169">*</WORD>
<WORD coords="2650,1174,2692,1116,1166">y</WORD>
<WORD coords="2743,1159,2868,1110,1156">este</WORD>
<WORD coords="2913,1160,3009,1118,1157">cq»</WORD>
</LINE>
<LINE>
<WORD coords="636,1260,830,1202,1257">cíente</WORD>
<WORD coords="877,1279,995,1213,1256">por</WORD>
<WORD coords="1023,1257,1153,1211,1256">otro</WORD>
<WORD coords="1188,1261,1202,1241,1259">,</WORD>
<WORD coords="1257,1258,1361,1199,1256">£s?c</WORD>
<WORD coords="1387,1271,1402,1246,1265">,</WORD>
<WORD coords="1434,1260,1686,1200,1256">bastara</WORD>
<WORD coords="1745,1260,1976,1200,1257">dividir</WORD>
<WORD coords="2021,1258,2080,1201,1257">el</WORD>
<WORD coords="2131,1259,2377,1220,1258">numero</WORD>
<WORD coords="2419,1259,2574,1202,1258">dado</WORD>
<WORD coords="2613,1280,2731,1213,1260">por</WORD>
<WORD coords="2784,1261,2838,1205,1260">el</WORD>
<WORD coords="2858,1283,3007,1216,1262">pro*</WORD>
</LINE>
<LINE>
<WORD coords="634,1368,809,1313,1365">dvcto</WORD>
<WORD coords="871,1366,942,1308,1365">de</WORD>
<WORD coords="998,1366,1165,1309,1363">todos</WORD>
<WORD coords="1223,1364,1306,1309,1362">los</WORD>
<WORD coords="1363,1367,1683,1307,1361">divisores,</WORD>
<WORD coords="1776,1386,2069,1308,1363">Ejemplo</WORD>
<WORD coords="2100,1366,2115,1329,1365">:</WORD>
<WORD coords="2182,1365,2485,1308,1364">Divídase</WORD>
<WORD coords="2535,1365,2617,1313,1364">24</WORD>
<WORD coords="2678,1384,2788,1328,1364">por</WORD>
<WORD coords="2836,1368,2873,1319,1368">2</WORD>
<WORD coords="2907,1383,2922,1355,1383">,</WORD>
<WORD coords="2961,1390,3004,1332,1390">y</WORD>
</LINE>
<LINE>
<WORD coords="634,1474,692,1417,1472">el</WORD>
<WORD coords="748,1474,876,1416,1472">cocí</WORD>
<WORD coords="891,1451,896,1442,1461">-</WORD>
<WORD coords="922,1472,1022,1427,1471">nte</WORD>
<WORD coords="1070,1491,1190,1436,1471">que</WORD>
<WORD coords="1255,1471,1485,1414,1469">resulte</WORD>
<WORD coords="1542,1471,1827,1414,1469">divídase</WORD>
<WORD coords="1882,1491,1992,1433,1471">por</WORD>
<WORD coords="2044,1485,2118,1421,1476">3;</WORD>
<WORD coords="2169,1473,2440,1414,1470">dividiré</WORD>
<WORD coords="2514,1472,2595,1422,1472">24</WORD>
<WORD coords="2642,1494,2752,1434,1473">por</WORD>
<WORD coords="2796,1476,2835,1426,1476">2</WORD>
<WORD coords="2898,1478,3006,1436,1477">ve-</WORD>
</LINE>
<LINE>
<WORD coords="635,1583,736,1544,1582">ces</WORD>
<WORD coords="792,1578,826,1530,1578">3</WORD>
<WORD coords="898,1601,1063,1523,1577">igual</WORD>
<WORD coords="1126,1578,1156,1526,1578">á</WORD>
<WORD coords="1213,1577,1249,1527,1578">6</WORD>
<WORD coords="1288,1595,1302,1567,1595">,</WORD>
<WORD coords="1345,1598,1383,1542,1588">y</WORD>
<WORD coords="1441,1578,1496,1523,1578">el</WORD>
<WORD coords="1540,1580,1817,1522,1578">cociente</WORD>
<WORD coords="1876,1595,2107,1522,1578">pedido</WORD>
<WORD coords="2153,1580,2289,1541,1578">sera</WORD>
<WORD coords="2334,1580,2396,1530,1579">4,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="883,1686,946,1630,1685">Si</WORD>
<WORD coords="997,1686,1239,1630,1684">tubiera</WORD>
<WORD coords="1311,1704,1431,1649,1686">que</WORD>
<WORD coords="1485,1686,1722,1630,1685">dividir</WORD>
<WORD coords="1778,1686,1836,1628,1685">el</WORD>
<WORD coords="1892,1688,2154,1647,1686">numero</WORD>
<WORD coords="2210,1687,2332,1636,1686">210</WORD>
<WORD coords="2389,1704,2498,1648,1686">por</WORD>
<WORD coords="2553,1688,2592,1638,1694">2</WORD>
<WORD coords="2614,1700,2631,1678,1700">,</WORD>
<WORD coords="2684,1711,2725,1654,1701">y</WORD>
<WORD coords="2782,1691,2838,1632,1690">el</WORD>
<WORD coords="2897,1688,3002,1648,1687">co-</WORD>
</LINE>
<LINE>
<WORD coords="630,1796,829,1738,1794">ciente</WORD>
<WORD coords="884,1810,995,1755,1792">por</WORD>
<WORD coords="1042,1791,1074,1743,1792">3</WORD>
<WORD coords="1102,1805,1117,1782,1805">,</WORD>
<WORD coords="1170,1813,1210,1757,1803">y</WORD>
<WORD coords="1265,1793,1392,1754,1792">este</WORD>
<WORD coords="1452,1793,1730,1737,1792">cociente</WORD>
<WORD coords="1778,1812,1887,1756,1794">por</WORD>
<WORD coords="1920,1794,1958,1745,1794">5</WORD>
<WORD coords="1986,1798,2003,1760,1796">;</WORD>
<WORD coords="2053,1795,2355,1736,1793">indicaría</WORD>
<WORD coords="2384,1795,2444,1736,1794">la</WORD>
<WORD coords="2486,1815,2817,1739,1798">operación</WORD>
<WORD coords="2845,1818,2869,1781,1818">9</WORD>
<WORD coords="2898,1798,3004,1756,1797">co-</WORD>
</LINE>
<LINE>
<WORD coords="627,1905,731,1866,1903">mo</WORD>
<WORD coords="764,1901,828,1866,1900">se</WORD>
<WORD coords="883,1900,954,1865,1899">ve</WORD>
<WORD coords="987,1899,999,1866,1900">:</WORD>
<WORD coords="1037,1900,1201,1843,1898">advis</WORD>
<WORD coords="1221,1901,1431,1844,1899">tiendo</WORD>
<WORD coords="1464,1917,1482,1889,1917">,</WORD>
<WORD coords="1514,1919,1632,1863,1900">que</WORD>
<WORD coords="1660,1901,1812,1844,1899">todo</WORD>
<WORD coords="2064,1902,2186,1849,1900">210</WORD>
</LINE>
<LINE>
<WORD coords="625,2011,686,1952,2010">lo</WORD>
<WORD coords="741,2026,863,1971,2007">que</WORD>
<WORD coords="916,2007,1046,1954,2007">e-tá</WORD>
<WORD coords="1094,2006,1271,1950,2004">sobre</WORD>
<WORD coords="1331,2005,1387,1951,2005">la</WORD>
<WORD coords="1465,2028,1609,1966,2005">raya</WORD>
<WORD coords="1685,2008,1815,1968,2007">mas</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="626,2137,797,2061,2115">huga</WORD>
<WORD coords="855,2114,930,2060,2113">de</WORD>
<WORD coords="993,2114,1168,2056,2112">tudas</WORD>
<WORD coords="1220,2113,1286,2078,2113">se</WORD>
<WORD coords="1341,2113,1557,2055,2112">divida</WORD>
<WORD coords="1614,2130,1723,2076,2112">por</WORD>
<WORD coords="1754,2114,1812,2058,2112">lo</WORD>
<WORD coords="2116,2121,2171,2063,2120">2.</WORD>
<WORD coords="2856,2122,2885,2096,2122">»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="623,2242,743,2186,2221">que</WORD>
<WORD coords="790,2222,850,2187,2221">se</WORD>
<WORD coords="898,2221,1056,2164,2218">halla</WORD>
<WORD coords="1091,2239,1309,2162,2218">debajo</WORD>
<WORD coords="1364,2219,1440,2163,2219">de</WORD>
<WORD coords="1504,2221,1616,2164,2219">ella</WORD>
<WORD coords="1646,2236,1663,2208,2228">,</WORD>
<WORD coords="1694,2221,1799,2165,2220">ob-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="627,2329,936,2271,2326">servando</WORD>
<WORD coords="987,2327,1045,2272,2326">lo</WORD>
<WORD coords="1096,2327,1321,2270,2326">mismo</WORD>
<WORD coords="1371,2327,1448,2288,2326">en</WORD>
<WORD coords="1489,2327,1580,2270,2326">las</WORD>
<WORD coords="1636,2349,1811,2289,2329">rayas</WORD>
<WORD coords="2113,2329,2147,2279,2329">3</WORD>
<WORD coords="2625,2333,2749,2279,2332">210</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="622,2439,1028,2383,2435">subalternas.</WORD>
<WORD coords="1944,2433,2105,2416,2434">—</WORD>
<WORD coords="2149,2430,2306,2414,2433">—</WORD>
<WORD coords="2408,2444,2410,2440,2438">.</WORD>
<WORD coords="2457,2436,2562,2396,2436">e=</WORD>
<WORD coords="2609,2429,2738,2416,2432">—</WORD>
<WORD coords="2810,2435,2919,2389,2435">£2S</WORD>
<WORD coords="2957,2440,3000,2380,2440">V</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2099,2549,2134,2499,2547">5</WORD>
<WORD coords="2642,2546,2721,2493,2544">30</WORD>
</LINE>
<LINE>
<WORD coords="1045,2659,1785,2595,2655">ALTERACIONES</WORD>
<WORD coords="1839,2655,2023,2593,2654">DEL</WORD>
<WORD coords="2086,2656,2566,2596,2655">COCIENTE</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1295,2762,1421,2723,2761">POR</WORD>
<WORD coords="1471,2762,1594,2721,2761">LAS</WORD>
<WORD coords="1643,2762,1730,2723,2762">DE</WORD>
<WORD coords="1779,2764,1890,2723,2762">LOS</WORD>
<WORD coords="1937,2764,2302,2721,2762">TERMINOS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="701,2945,805,2888,2944">94.</WORD>
<WORD coords="849,2946,855,2942,2946">.</WORD>
<WORD coords="890,2948,1244,2885,2941">Teorema:</WORD>
<WORD coords="1339,2939,1455,2886,2939">L°</WORD>
<WORD coords="1524,2940,1589,2884,2938">Si</WORD>
<WORD coords="1629,2961,2129,2884,2938">permaneciendo</WORD>
<WORD coords="2183,2941,2298,2902,2940">tino</WORD>
<WORD coords="2344,2942,2550,2885,2940">mismo</WORD>
<WORD coords="2619,2941,2676,2883,2940">el</WORD>
<WORD coords="2726,2951,2986,2881,2936">divisor^</WORD>
</LINE>
<LINE>
<WORD coords="615,3050,680,2994,3050">el</WORD>
<WORD coords="729,3050,1045,2994,3048">dividendo</WORD>
<WORD coords="1098,3048,1162,3013,3048">se</WORD>
<WORD coords="1220,3066,1555,2993,3047">multiplica</WORD>
<WORD coords="1599,3069,1720,3004,3046">por</WORD>
<WORD coords="1774,3047,1855,3010,3046">un</WORD>
<WORD coords="1911,3046,2155,3009,3045">numero</WORD>
<WORD coords="2205,3071,2556,2993,3045">cualquiera</WORD>
<WORD coords="2584,3064,2600,3036,3055">,</WORD>
<WORD coords="2654,3046,2708,2991,3046">el</WORD>
<WORD coords="2756,3045,2986,3007,3044">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="621,3155,682,3107,3154">te</WORD>
<WORD coords="738,3176,1004,3104,3153">quedara</WORD>
<WORD coords="1079,3176,1485,3099,3153">multiplicado</WORD>
<WORD coords="1535,3177,1656,3111,3153">por</WORD>
<WORD coords="1702,3154,1757,3097,3153">el</WORD>
<WORD coords="1803,3153,2012,3100,3151">mismo</WORD>
<WORD coords="2073,3153,2318,3116,3151">numero</WORD>
<WORD coords="2354,3157,2372,3119,3157">;</WORD>
<WORD coords="2419,3173,2459,3117,3163">y</WORD>
<WORD coords="2516,3152,2569,3106,3149">2-</WORD>
<WORD coords="2597,3137,2635,3088,3145">^</WORD>
<WORD coords="2688,3155,2745,3101,3154">si</WORD>
<WORD coords="2788,3154,2840,3102,3152">el</WORD>
<WORD coords="2889,3151,2979,3096,3150">di*</WORD>
</LINE>
<LINE>
<WORD coords="618,3262,873,3206,3259">vidi-ndo</WORD>
<WORD coords="919,3260,981,3224,3259">se</WORD>
<WORD coords="1035,3284,1211,3217,3260">parte</WORD>
<WORD coords="1248,3282,1366,3217,3259">por</WORD>
<WORD coords="1413,3261,1493,3224,3260">un</WORD>
<WORD coords="1564,3261,1810,3218,3259">numero</WORD>
<WORD coords="1868,3284,2220,3206,3259">cualquiera</WORD>
<WORD coords="2251,3273,2268,3247,3267">,</WORD>
<WORD coords="2339,3262,2398,3204,3261">el</WORD>
<WORD coords="2455,3263,2719,3208,3261">cociente</WORD>
<WORD coords="2763,3265,2988,3202,3257">queda*</WORD>
</LINE>
<LINE>
<WORD coords="618,3368,695,3329,3367">ra</WORD>
<WORD coords="741,3366,1009,3311,3365">dividido</WORD>
<WORD coords="1064,3387,1178,3322,3366">por</WORD>
<WORD coords="1235,3369,1292,3310,3368">el</WORD>
<WORD coords="1342,3367,1550,3313,3365">mismo</WORD>
<WORD coords="1601,3367,1868,3328,3365">numero,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="872,3494,1276,3418,3472">Esplicacion.</WORD>
<WORD coords="1378,3474,1432,3426,3469">1-</WORD>
<WORD coords="1608,3475,1725,3419,3474">Sea</WORD>
<WORD coords="1772,3473,1826,3419,3472">la</WORD>
<WORD coords="1884,3472,2158,3414,3470">división</WORD>
<WORD coords="2202,3470,2491,3413,3468">indicada</WORD>
<WORD coords="2549,3470,2630,3420,3470">24</WORD>
<WORD coords="2664,3470,2677,3434,3471">:</WORD>
<WORD coords="2716,3468,2748,3421,3470">8</WORD>
<WORD coords="2780,3463,2888,3426,3467">=</WORD>
<WORD coords="2923,3473,2981,3416,3468">3;</WORD>
</LINE>
<LINE>
<WORD coords="616,3581,672,3523,3581">si</WORD>
<WORD coords="731,3580,787,3523,3579">el</WORD>
<WORD coords="833,3579,1175,3523,3577">dividendo</WORD>
<WORD coords="1230,3580,1309,3531,3579">24</WORD>
<WORD coords="1371,3599,1716,3524,3578">multiplico</WORD>
<WORD coords="1768,3599,1878,3543,3578">por</WORD>
<WORD coords="1940,3579,1971,3533,3579">2</WORD>
<WORD coords="2006,3592,2022,3566,3592">,</WORD>
<WORD coords="2074,3599,2115,3542,3588">y</WORD>
<WORD coords="2171,3576,2225,3520,3575">el</WORD>
<WORD coords="2277,3596,2576,3520,3575">producto</WORD>
<WORD coords="2622,3576,2701,3526,3575">48</WORD>
<WORD coords="2759,3572,2979,3521,3569">d&lt;vidó</WORD>
</LINE>
<LINE>
<WORD coords="616,3706,730,3649,3684">por</WORD>
<WORD coords="808,3685,863,3633,3684">el</WORD>
<WORD coords="923,3685,1147,3629,3684">mismo</WORD>
<WORD coords="1226,3686,1463,3630,3684">divisor</WORD>
<WORD coords="1515,3685,1548,3638,3685">8</WORD>
<WORD coords="1583,3698,1598,3674,3698">,</WORD>
<WORD coords="1653,3703,1769,3651,3684">voy</WORD>
<WORD coords="1822,3685,1848,3635,3684">á</WORD>
<WORD coords="1908,3684,2255,3630,3682">demostrar</WORD>
<WORD coords="2309,3703,2428,3645,3684">que</WORD>
<WORD coords="2493,3682,2552,3630,3682">el</WORD>
<WORD coords="2604,3683,2879,3624,3678">cociente</WORD>
<WORD coords="2939,3677,2979,3623,3677">6</WORD>
</LINE>
<LINE>
<WORD coords="615,3795,683,3756,3794">es</WORD>
<WORD coords="758,3815,922,3736,3790">iguil</WORD>
<WORD coords="994,3790,1048,3739,3790">ai</WORD>
<WORD coords="1130,3809,1447,3736,3790">primitivo</WORD>
<WORD coords="1501,3790,1533,3743,3790">3</WORD>
<WORD coords="1619,3810,2049,3734,3790">multiplicado</WORD>
<WORD coords="2100,3809,2209,3752,3788">por</WORD>
<WORD coords="2258,3789,2317,3743,3789">2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="866,3901,926,3851,3900">2.</WORD>
<WORD coords="1096,3898,1164,3840,3898">Si</WORD>
<WORD coords="1220,3899,1277,3842,3899">el</WORD>
<WORD coords="1324,3901,1669,3841,3899">dividendo</WORD>
<WORD coords="1729,3900,1810,3849,3899">24</WORD>
<WORD coords="1898,3918,2073,3852,3897">paito</WORD>
<WORD coords="2127,3919,2235,3860,3898">por</WORD>
<WORD coords="2291,3897,2325,3850,3895">¿S</WORD>
<WORD coords="2386,3918,2428,3857,3907">y</WORD>
<WORD coords="2491,3896,2549,3837,3895">el</WORD>
<WORD coords="2605,3897,2881,3836,3893">cociente</WORD>
<WORD coords="2940,3890,2979,3838,3890">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0062.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0063.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0063.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1340,486,1488,394,486">33</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="226,638,404,568,616">parto</WORD>
<WORD coords="455,630,573,567,611">por</WORD>
<WORD coords="612,611,667,549,610">el</WORD>
<WORD coords="734,614,977,551,609">diviso?</WORD>
<WORD coords="1032,606,1070,555,606">8</WORD>
<WORD coords="1106,618,1121,592,618">,</WORD>
<WORD coords="1154,621,1274,565,604">voy</WORD>
<WORD coords="1324,603,1355,550,604">á</WORD>
<WORD coords="1408,603,1757,549,602">demostrar</WORD>
<WORD coords="1805,620,1925,563,602">que</WORD>
<WORD coords="1981,601,2036,545,601">e!</WORD>
<WORD coords="2084,605,2286,563,603">nuevo</WORD>
<WORD coords="2342,604,2587,547,602">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="225,724,288,676,724">te</WORD>
<WORD coords="346,721,374,670,720">1</WORD>
<WORD coords="436,719,502,683,718">es</WORD>
<WORD coords="559,738,726,661,716">igual</WORD>
<WORD coords="781,715,811,664,714">á</WORD>
<WORD coords="855,714,1049,658,712">haber</WORD>
<WORD coords="1095,710,1386,653,709">dividido</WORD>
<WORD coords="1442,710,1499,655,709">el</WORD>
<WORD coords="1557,709,1837,653,708">cociente</WORD>
<WORD coords="1901,726,2221,652,707">primitivo</WORD>
<WORD coords="2270,707,2303,659,709">3</WORD>
<WORD coords="2363,726,2474,670,705">por</WORD>
<WORD coords="2529,708,2588,656,706">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="479,825,969,765,822">Demostración.</WORD>
<WORD coords="1062,818,1115,768,817">1.</WORD>
<WORD coords="1140,798,1178,761,807">°</WORD>
<WORD coords="1251,815,1327,759,814">El</WORD>
<WORD coords="1374,815,1717,758,814">dividendo</WORD>
<WORD coords="1771,815,1851,763,815">24</WORD>
<WORD coords="1882,814,1945,779,813">es</WORD>
<WORD coords="1981,815,2061,778,814">un</WORD>
<WORD coords="2109,833,2411,760,814">producto</WORD>
<WORD coords="2445,836,2594,755,822">(64)</WORD>
</LINE>
<LINE>
<WORD coords="233,948,429,892,931">cuyos</WORD>
<WORD coords="474,930,741,870,928">factores</WORD>
<WORD coords="788,926,902,889,925">son</WORD>
<WORD coords="943,924,1001,867,923">el</WORD>
<WORD coords="1065,924,1308,865,921">divisor</WORD>
<WORD coords="1362,920,1397,869,921">8</WORD>
<WORD coords="1451,939,1490,882,930">y</WORD>
<WORD coords="1531,920,1587,862,919">el</WORD>
<WORD coords="1639,920,1913,864,918">cociente</WORD>
<WORD coords="1958,919,1991,871,920">3</WORD>
<WORD coords="2026,923,2042,889,922">:</WORD>
<WORD coords="2094,921,2279,864,920">ahora</WORD>
<WORD coords="2310,933,2326,909,927">,</WORD>
<WORD coords="2381,918,2594,861,917">multi-</WORD>
</LINE>
<LINE>
<WORD coords="226,1057,421,979,1034">plicar</WORD>
<WORD coords="464,1034,527,979,1034">&gt;el</WORD>
<WORD coords="577,1052,881,977,1031">producto</WORD>
<WORD coords="946,1031,1028,978,1030">24</WORD>
<WORD coords="1082,1048,1191,987,1027">por</WORD>
<WORD coords="1239,1026,1275,979,1027">2</WORD>
<WORD coords="1333,1045,1625,970,1026">equivale</WORD>
<WORD coords="1685,1026,1715,973,1027">á</WORD>
<WORD coords="1774,1045,2155,971,1026">multiplicar</WORD>
<WORD coords="2214,1049,2242,977,1038">(</WORD>
<WORD coords="2290,1024,2367,971,1025">92</WORD>
<WORD coords="2415,1042,2444,965,1035">)</WORD>
<WORD coords="2503,1023,2591,965,1023">al-</WORD>
</LINE>
<LINE>
<WORD coords="229,1167,398,1107,1144">guiio</WORD>
<WORD coords="436,1143,511,1086,1142">de</WORD>
<WORD coords="561,1141,654,1086,1140">los</WORD>
<WORD coords="702,1141,971,1084,1138">factores</WORD>
<WORD coords="1024,1156,1375,1078,1134">primitivos</WORD>
<WORD coords="1425,1154,1538,1096,1134">por</WORD>
<WORD coords="1576,1136,1612,1088,1136">2</WORD>
<WORD coords="1641,1154,1657,1105,1153">;</WORD>
<WORD coords="1688,1153,1837,1096,1134">pero</WORD>
<WORD coords="1860,1150,1876,1123,1150">,</WORD>
<WORD coords="1921,1154,2114,1094,1133">según</WORD>
<WORD coords="2158,1134,2218,1076,1133">el</WORD>
<WORD coords="2268,1148,2590,1083,1128">supuesto*</WORD>
</LINE>
<LINE>
<WORD coords="226,1252,287,1197,1251">el</WORD>
<WORD coords="338,1249,537,1192,1248">factor</WORD>
<WORD coords="592,1247,628,1198,1247">8</WORD>
<WORD coords="690,1262,808,1209,1246">que</WORD>
<WORD coords="862,1246,927,1209,1244">es</WORD>
<WORD coords="987,1244,1041,1188,1244">el</WORD>
<WORD coords="1085,1243,1324,1186,1241">divisor</WORD>
<WORD coords="1368,1242,1449,1204,1241">no</WORD>
<WORD coords="1501,1242,1566,1204,1241">se</WORD>
<WORD coords="1620,1243,1698,1184,1241">ha</WORD>
<WORD coords="1751,1259,2178,1184,1240">multiplicado</WORD>
<WORD coords="2214,1254,2233,1226,1254">,</WORD>
<WORD coords="2288,1255,2472,1182,1235">luego</WORD>
<WORD coords="2527,1234,2596,1192,1233">se</WORD>
</LINE>
<LINE>
<WORD coords="225,1358,468,1297,1355">deduce</WORD>
<WORD coords="515,1374,627,1316,1354">por</WORD>
<WORD coords="681,1354,1026,1295,1351">exhaution</WORD>
<WORD coords="1085,1367,1205,1311,1348">que</WORD>
<WORD coords="1257,1348,1390,1292,1347">solo</WORD>
<WORD coords="1449,1349,1506,1288,1347">el</WORD>
<WORD coords="1562,1348,1700,1301,1346">otro</WORD>
<WORD coords="1748,1350,1946,1291,1347">factor</WORD>
<WORD coords="2004,1344,2038,1295,1346">3</WORD>
<WORD coords="2072,1359,2193,1307,1346">que</WORD>
<WORD coords="2249,1343,2315,1306,1342">es</WORD>
<WORD coords="2377,1342,2434,1287,1340">el</WORD>
<WORD coords="2488,1339,2593,1301,1339">co-</WORD>
</LINE>
<LINE>
<WORD coords="227,1467,430,1404,1462">ciente</WORD>
<WORD coords="481,1480,801,1405,1459">primitivo</WORD>
<WORD coords="838,1473,857,1446,1465">,</WORD>
<WORD coords="897,1457,963,1420,1456">se</WORD>
<WORD coords="1008,1456,1087,1399,1455">ha</WORD>
<WORD coords="1134,1474,1568,1395,1452">multiplicado</WORD>
<WORD coords="1613,1470,1727,1413,1451">por</WORD>
<WORD coords="1773,1453,1811,1403,1454">2</WORD>
<WORD coords="1844,1454,1863,1436,1454">.</WORD>
<WORD coords="1934,1453,2009,1394,1453">L.</WORD>
<WORD coords="2052,1452,2169,1397,1448">1.°</WORD>
<WORD coords="2223,1462,2312,1390,1455">Q.</WORD>
<WORD coords="2364,1446,2446,1391,1446">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="479,1568,537,1520,1563">2.</WORD>
<WORD coords="563,1548,600,1512,1552">°</WORD>
<WORD coords="662,1566,862,1508,1563">Partir</WORD>
<WORD coords="915,1562,973,1506,1561">el</WORD>
<WORD coords="1024,1580,1340,1503,1559">producto</WORD>
<WORD coords="1389,1578,1502,1520,1557">por</WORD>
<WORD coords="1557,1558,1637,1519,1557">un</WORD>
<WORD coords="1680,1558,1941,1517,1556">numero</WORD>
<WORD coords="1973,1572,1993,1542,1566">,</WORD>
<WORD coords="2023,1561,2309,1497,1555">equivale</WORD>
<WORD coords="2343,1551,2372,1498,1554">á</WORD>
<WORD coords="2405,1567,2600,1491,1547">partir</WORD>
</LINE>
<LINE>
<WORD coords="234,1697,463,1620,1675">alguno</WORD>
<WORD coords="516,1673,593,1617,1673">de</WORD>
<WORD coords="640,1671,731,1615,1670">los</WORD>
<WORD coords="777,1669,1040,1613,1667">factores</WORD>
<WORD coords="1076,1691,1223,1609,1678">(93)</WORD>
<WORD coords="1275,1684,1388,1625,1664">por</WORD>
<WORD coords="1428,1663,1489,1608,1663">el</WORD>
<WORD coords="1541,1663,1767,1605,1662">mismo</WORD>
<WORD coords="1824,1662,2084,1622,1660">numero</WORD>
<WORD coords="2119,1673,2136,1627,1673">;</WORD>
<WORD coords="2184,1679,2330,1620,1659">pero</WORD>
<WORD coords="2372,1655,2427,1599,1655">el</WORD>
<WORD coords="2461,1672,2600,1614,1652">pro-</WORD>
</LINE>
<LINE>
<WORD coords="233,1787,430,1726,1783">ducto</WORD>
<WORD coords="488,1783,567,1731,1781">24</WORD>
<WORD coords="629,1780,692,1743,1780">se</WORD>
<WORD coords="737,1779,817,1721,1778">ha</WORD>
<WORD coords="864,1793,1112,1717,1774">partido</WORD>
<WORD coords="1167,1792,1278,1735,1773">por</WORD>
<WORD coords="1331,1787,1398,1720,1781">3,</WORD>
<WORD coords="1453,1791,1637,1715,1770">luego</WORD>
<WORD coords="1702,1769,1766,1731,1768">se</WORD>
<WORD coords="1813,1768,1894,1708,1768">ha</WORD>
<WORD coords="1954,1767,2246,1709,1766">dividido</WORD>
<WORD coords="2300,1782,2412,1721,1760">por</WORD>
<WORD coords="2468,1757,2502,1707,1764">3</WORD>
<WORD coords="2547,1762,2603,1697,1762">ó</WORD>
</LINE>
<LINE>
<WORD coords="234,1892,296,1834,1891">el</WORD>
<WORD coords="348,1890,552,1832,1889">factor</WORD>
<WORD coords="597,1888,637,1837,1888">8</WORD>
<WORD coords="694,1905,812,1848,1885">que</WORD>
<WORD coords="873,1882,938,1845,1882">es</WORD>
<WORD coords="1006,1882,1065,1826,1882">el</WORD>
<WORD coords="1148,1880,1391,1823,1879">divisor</WORD>
<WORD coords="1432,1893,1452,1864,1885">,</WORD>
<WORD coords="1513,1876,1549,1825,1876">ó</WORD>
<WORD coords="1603,1874,1661,1817,1874">el</WORD>
<WORD coords="1715,1874,1914,1817,1873">factor</WORD>
<WORD coords="1965,1871,2005,1822,1874">3</WORD>
<WORD coords="2085,1891,2204,1834,1872">que</WORD>
<WORD coords="2252,1871,2320,1833,1870">es</WORD>
<WORD coords="2376,1868,2437,1811,1866">el</WORD>
<WORD coords="2494,1865,2599,1826,1864">co-</WORD>
</LINE>
<LINE>
<WORD coords="236,1998,438,1942,1996">ciente</WORD>
<WORD coords="471,1996,486,1959,1996">:</WORD>
<WORD coords="533,2012,684,1955,1991">p«ro</WORD>
<WORD coords="738,2009,848,1952,1990">por</WORD>
<WORD coords="899,1988,956,1934,1988">el</WORD>
<WORD coords="1035,2006,1330,1941,1987">supuesto</WORD>
<WORD coords="1372,1983,1430,1927,1982">el</WORD>
<WORD coords="1476,1984,1674,1926,1982">factor</WORD>
<WORD coords="1727,1983,1764,1925,1983">ó</WORD>
<WORD coords="1827,1980,2067,1922,1977">divisor</WORD>
<WORD coords="2127,1978,2162,1929,1980">8</WORD>
<WORD coords="2219,1976,2299,1918,1975">ha</WORD>
<WORD coords="2357,1992,2604,1931,1971">perma-</WORD>
</LINE>
<LINE>
<WORD coords="235,2106,466,2044,2101">necido</WORD>
<WORD coords="512,2100,576,2043,2099">el</WORD>
<WORD coords="629,2098,856,2040,2097">mismo</WORD>
<WORD coords="889,2112,908,2083,2112">,</WORD>
<WORD coords="958,2116,1142,2040,2095">luego</WORD>
<WORD coords="1199,2096,1266,2056,2094">se</WORD>
<WORD coords="1322,2092,1564,2032,2090">deduce</WORD>
<WORD coords="1616,2104,1727,2048,2087">por</WORD>
<WORD coords="1772,2087,2115,2026,2084">exhaucion</WORD>
<WORD coords="2173,2102,2294,2044,2083">que</WORD>
<WORD coords="2339,2080,2476,2021,2078">solo</WORD>
<WORD coords="2534,2080,2601,2017,2078">el</WORD>
</LINE>
<LINE>
<WORD coords="240,2209,380,2163,2207">otro</WORD>
<WORD coords="434,2206,632,2147,2204">factor</WORD>
<WORD coords="689,2203,724,2153,2211">3</WORD>
<WORD coords="749,2219,766,2190,2219">,</WORD>
<WORD coords="801,2221,920,2164,2202">que</WORD>
<WORD coords="966,2202,1031,2164,2201">es</WORD>
<WORD coords="1077,2201,1136,2145,2200">el</WORD>
<WORD coords="1187,2200,1464,2141,2198">cociente</WORD>
<WORD coords="1513,2216,1835,2136,2194">primitivo</WORD>
<WORD coords="1865,2210,1886,2177,2202">,</WORD>
<WORD coords="1913,2192,1979,2152,2192">se</WORD>
<WORD coords="2031,2191,2113,2131,2190">ha</WORD>
<WORD coords="2167,2190,2454,2127,2187">dividido</WORD>
<WORD coords="2488,2204,2603,2139,2183">por</WORD>
</LINE>
<LINE>
<WORD coords="242,2315,281,2262,2315">3</WORD>
<WORD coords="310,2318,327,2296,2315">,</WORD>
<WORD coords="386,2312,466,2255,2310">JL.</WORD>
<WORD coords="512,2312,572,2264,2309">2,</WORD>
<WORD coords="597,2292,633,2255,2292">o</WORD>
<WORD coords="697,2323,788,2254,2314">q.</WORD>
<WORD coords="840,2310,921,2252,2309">d.</WORD>
<WORD coords="990,2309,1075,2251,2309">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="331,2419,436,2365,2418">95.</WORD>
<WORD coords="522,2419,854,2359,2416">Teorema.</WORD>
<WORD coords="948,2415,1067,2359,2410">1.,°</WORD>
<WORD coords="1146,2413,1217,2355,2412">Si</WORD>
<WORD coords="1253,2434,1755,2350,2410">permaneciendo</WORD>
<WORD coords="1797,2408,1915,2367,2408">uno</WORD>
<WORD coords="1972,2404,2179,2347,2403">mismo</WORD>
<WORD coords="2233,2401,2296,2343,2400">*l</WORD>
<WORD coords="2332,2402,2606,2339,2397">dividen-</WORD>
</LINE>
<LINE>
<WORD coords="239,2530,314,2471,2529">do</WORD>
<WORD coords="346,2535,363,2514,2532">,</WORD>
<WORD coords="419,2529,485,2487,2526">se</WORD>
<WORD coords="533,2545,866,2466,2521">multiplica</WORD>
<WORD coords="914,2520,973,2463,2520">el</WORD>
<WORD coords="1017,2521,1251,2462,2519">divisor</WORD>
<WORD coords="1301,2540,1421,2472,2517">por</WORD>
<WORD coords="1474,2517,1557,2478,2516">un</WORD>
<WORD coords="1611,2516,1857,2475,2514">numero</WORD>
<WORD coords="1889,2529,1907,2500,2522">,</WORD>
<WORD coords="1943,2512,2006,2454,2511">&lt;el</WORD>
<WORD coords="2056,2510,2318,2452,2508">cociente</WORD>
<WORD coords="2382,2531,2604,2449,2505">primi-</WORD>
</LINE>
<LINE>
<WORD coords="243,2632,365,2587,2631">tivo</WORD>
<WORD coords="411,2631,478,2593,2631">se</WORD>
<WORD coords="530,2631,723,2573,2629">habrá</WORD>
<WORD coords="771,2628,1035,2569,2627">dividido</WORD>
<WORD coords="1082,2647,1203,2580,2625">por</WORD>
<WORD coords="1251,2624,1315,2567,2624">*l</WORD>
<WORD coords="1367,2623,1577,2567,2621">mismo</WORD>
<WORD coords="1621,2621,1867,2580,2619">numero</WORD>
<WORD coords="1896,2624,1919,2583,2624">;</WORD>
<WORD coords="1964,2636,2006,2580,2629">y</WORD>
<WORD coords="2064,2617,2125,2567,2619">2*</WORD>
<WORD coords="2148,2594,2187,2563,2608">°</WORD>
<WORD coords="2234,2613,2294,2576,2612">si</WORD>
<WORD coords="2340,2614,2395,2557,2614">el</WORD>
<WORD coords="2441,2613,2602,2556,2612">divi*</WORD>
</LINE>
<LINE>
<WORD coords="239,2739,347,2699,2736">9or</WORD>
<WORD coords="389,2737,453,2700,2737">se</WORD>
<WORD coords="483,2737,685,2679,2736">divide</WORD>
<WORD coords="718,2757,843,2689,2735">por</WORD>
<WORD coords="881,2735,969,2695,2734">un</WORD>
<WORD coords="1025,2734,1272,2692,2732">numero</WORD>
<WORD coords="1305,2746,1324,2717,2746">t</WORD>
<WORD coords="1360,2731,1420,2673,2731">el</WORD>
<WORD coords="1458,2731,1720,2672,2728">cociente</WORD>
<WORD coords="1738,2750,2062,2668,2724">primitivo</WORD>
<WORD coords="2111,2723,2176,2684,2722">se</WORD>
<WORD coords="2220,2724,2413,2664,2722">habrá</WORD>
<WORD coords="2454,2723,2604,2665,2722">mul-</WORD>
</LINE>
<LINE>
<WORD coords="239,2867,530,2786,2844">tiplicado</WORD>
<WORD coords="576,2863,694,2798,2841">por</WORD>
<WORD coords="746,2841,804,2786,2840">€¡</WORD>
<WORD coords="856,2840,1060,2785,2839">mismo</WORD>
<WORD coords="1116,2838,1388,2798,2837">numero.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="490,2970,900,2893,2949">Espiración.</WORD>
<WORD coords="990,2947,1042,2896,2944">1.</WORD>
<WORD coords="1070,2926,1105,2890,2933">°</WORD>
<WORD coords="1216,2945,1333,2887,2944">Sea</WORD>
<WORD coords="1392,2943,1450,2887,2942">la</WORD>
<WORD coords="1497,2942,1771,2883,2940">división</WORD>
<WORD coords="1821,2938,2114,2878,2937">indicada</WORD>
<WORD coords="2160,2935,2241,2878,2936">30</WORD>
<WORD coords="2272,2937,2286,2899,2939">:</WORD>
<WORD coords="2321,2934,2356,2885,2937">5</WORD>
<WORD coords="2385,2933,2490,2893,2935">=:</WORD>
<WORD coords="2519,2934,2555,2882,2937">6</WORD>
<WORD coords="2579,2920,2603,2887,2920">•</WORD>
</LINE>
<LINE>
<WORD coords="239,3062,294,3001,3060">ai</WORD>
<WORD coords="352,3061,412,3003,3060">el</WORD>
<WORD coords="481,3058,722,3001,3055">divisor</WORD>
<WORD coords="760,3054,796,3005,3054">5</WORD>
<WORD coords="853,3071,1209,2994,3052">multiplico</WORD>
<WORD coords="1255,3069,1367,3011,3049">por</WORD>
<WORD coords="1396,3048,1428,2999,3048">3</WORD>
<WORD coords="1461,3064,1477,3037,3056">,</WORD>
<WORD coords="1524,3048,1584,2993,3047">lo</WORD>
<WORD coords="1632,3065,1750,3007,3046">que</WORD>
<WORD coords="1810,3044,1911,3007,3043">me</WORD>
<WORD coords="1959,3059,2231,2987,3041">produce</WORD>
<WORD coords="2267,3044,2338,2993,3045">15</WORD>
<WORD coords="2368,3056,2384,3030,3056">,</WORD>
<WORD coords="2415,3063,2455,3007,3061">y</WORD>
<WORD coords="2490,3060,2602,3004,3042">por</WORD>
</LINE>
<LINE>
<WORD coords="239,3168,371,3122,3166">este</WORD>
<WORD coords="423,3166,626,3128,3164">nuevo</WORD>
<WORD coords="687,3163,926,3105,3161">divisor</WORD>
<WORD coords="969,3180,1144,3112,3157">parto</WORD>
<WORD coords="1186,3156,1242,3101,3156">el</WORD>
<WORD coords="1287,3156,1636,3096,3153">dividendo</WORD>
<WORD coords="1693,3150,1772,3101,3151">30</WORD>
<WORD coords="1805,3165,1820,3116,3165">;</WORD>
<WORD coords="1856,3169,1977,3113,3148">voy</WORD>
<WORD coords="2025,3148,2055,3092,3151">á</WORD>
<WORD coords="2104,3150,2453,3090,3148">demostrar</WORD>
<WORD coords="2482,3168,2605,3111,3152">que</WORD>
</LINE>
<LINE>
<WORD coords="238,3273,298,3215,3272">el</WORD>
<WORD coords="352,3272,557,3232,3270">nuevo</WORD>
<WORD coords="604,3269,882,3212,3267">cociente</WORD>
<WORD coords="940,3266,978,3218,3265">2</WORD>
<WORD coords="1028,3265,1093,3227,3264">es</WORD>
<WORD coords="1138,3284,1308,3205,3262">igual</WORD>
<WORD coords="1349,3261,1406,3205,3260">al</WORD>
<WORD coords="1452,3280,1771,3201,3256">primitivo</WORD>
<WORD coords="1818,3254,1856,3203,3257">6</WORD>
<WORD coords="1910,3256,2202,3197,3254">dividido</WORD>
<WORD coords="2244,3274,2355,3216,3256">por</WORD>
<WORD coords="2414,3259,2472,3205,3257">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="486,3376,545,3327,3372">2.</WORD>
<WORD coords="569,3359,609,3317,3362">°</WORD>
<WORD coords="716,3375,833,3318,3373">Sea</WORD>
<WORD coords="879,3373,935,3316,3372">la</WORD>
<WORD coords="987,3389,1307,3313,3369">espresion</WORD>
<WORD coords="1352,3369,1435,3318,3368">24</WORD>
<WORD coords="1466,3369,1480,3334,3367">:</WORD>
<WORD coords="1509,3364,1545,3313,3365">6</WORD>
<WORD coords="1577,3359,1683,3319,3362">=</WORD>
<WORD coords="1708,3364,1748,3312,3365">4</WORD>
<WORD coords="1783,3376,1799,3331,3371">;</WORD>
<WORD coords="1851,3361,1902,3305,3361">si</WORD>
<WORD coords="1955,3382,2129,3315,3359">parto</WORD>
<WORD coords="2165,3378,2275,3322,3360">por</WORD>
<WORD coords="2326,3362,2364,3311,3364">2</WORD>
<WORD coords="2416,3358,2469,3305,3358">el</WORD>
<WORD coords="2502,3362,2601,3300,3361">di-</WORD>
</LINE>
<LINE>
<WORD coords="237,3485,411,3425,3483">visor</WORD>
<WORD coords="465,3499,542,3430,3488">6,</WORD>
<WORD coords="602,3483,662,3426,3482">lo</WORD>
<WORD coords="709,3501,829,3444,3482">que</WORD>
<WORD coords="891,3479,987,3441,3478">me</WORD>
<WORD coords="1034,3476,1113,3421,3476">da</WORD>
<WORD coords="1171,3475,1204,3426,3475">3</WORD>
<WORD coords="1240,3486,1256,3463,3486">,</WORD>
<WORD coords="1314,3495,1353,3439,3492">y</WORD>
<WORD coords="1399,3490,1507,3435,3470">por</WORD>
<WORD coords="1554,3471,1681,3426,3469">este</WORD>
<WORD coords="1726,3470,1985,3429,3467">numero</WORD>
<WORD coords="2029,3466,2250,3409,3464">divido</WORD>
<WORD coords="2300,3479,2427,3415,3473">24;</WORD>
<WORD coords="2475,3486,2598,3426,3466">voy</WORD>
</LINE>
<LINE>
<WORD coords="239,3597,272,3540,3596">á</WORD>
<WORD coords="331,3595,683,3540,3593">demostrar</WORD>
<WORD coords="733,3610,853,3553,3591">que</WORD>
<WORD coords="900,3591,956,3533,3589">el</WORD>
<WORD coords="1012,3590,1216,3549,3588">nuevo</WORD>
<WORD coords="1264,3586,1542,3528,3583">cociente</WORD>
<WORD coords="1612,3580,1648,3531,3581">8</WORD>
<WORD coords="1703,3579,1772,3540,3577">es</WORD>
<WORD coords="1835,3599,2005,3519,3574">igual</WORD>
<WORD coords="2048,3576,2107,3517,3574">al</WORD>
<WORD coords="2172,3592,2490,3514,3571">primitivo</WORD>
<WORD coords="2560,3574,2611,3515,3574">4</WORD>
</LINE>
<LINE>
<WORD coords="239,3719,672,3643,3700">multiplicado</WORD>
<WORD coords="724,3716,834,3659,3696">por</WORD>
<WORD coords="890,3698,955,3648,3696">2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,3807,980,3748,3803">Demostración.</WORD>
<WORD coords="1076,3801,1192,3743,3801">l.°</WORD>
<WORD coords="1304,3799,1506,3741,3795">Como</WORD>
<WORD coords="1558,3793,1616,3735,3792">el</WORD>
<WORD coords="1650,3792,1998,3730,3790">dividendo</WORD>
<WORD coords="2040,3787,2105,3749,3786">es</WORD>
<WORD coords="2151,3787,2233,3749,3786">un</WORD>
<WORD coords="2278,3803,2605,3727,3781">producto,</WORD>
</LINE>
<LINE>
<WORD coords="246,3938,445,3876,3917">cuyos</WORD>
<WORD coords="494,3918,763,3858,3915">factores</WORD>
<WORD coords="811,3912,924,3872,3911">son</WORD>
<WORD coords="991,3910,1050,3852,3910">el</WORD>
<WORD coords="1096,3910,1334,3849,3906">divisor</WORD>
<WORD coords="1378,3922,1416,3866,3912">y</WORD>
<WORD coords="1470,3902,1528,3844,3901">el</WORD>
<WORD coords="1578,3901,1853,3844,3899">cociente</WORD>
<WORD coords="1888,3916,1907,3883,3916">f</WORD>
<WORD coords="1971,3898,2111,3836,3896">será</WORD>
<WORD coords="2165,3899,2223,3836,3896">el</WORD>
<WORD coords="2260,3892,2606,3830,3888">dividené*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1385,4008,1460,3956,4007">ts</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0063.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0064.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0064.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="654,569,736,515,576">30</WORD>
<WORD coords="787,573,867,532,573">un</WORD>
<WORD coords="909,576,1060,517,574">tedo</WORD>
<WORD coords="1106,599,1298,536,578">cuyas</WORD>
<WORD coords="1348,604,1562,535,581">partes</WORD>
<WORD coords="1607,606,1848,527,587">¡guales</WORD>
<WORD coords="1901,594,1943,553,594">o</WORD>
<WORD coords="1999,599,2339,538,596">sumandos</WORD>
<WORD coords="2393,617,2745,556,603">representa</WORD>
<WORD coords="2796,609,2855,547,608">e!</WORD>
<WORD coords="2924,613,3026,552,612">du</WORD>
</LINE>
<LINE>
<WORD coords="653,677,828,636,676">vibor</WORD>
<WORD coords="885,678,920,631,688">5</WORD>
<WORD coords="957,695,974,668,697">,</WORD>
<WORD coords="1025,703,1069,645,701">y</WORD>
<WORD coords="1111,684,1165,629,684">el</WORD>
<WORD coords="1226,690,1487,648,687">numero</WORD>
<WORD coords="1546,696,1625,634,694">de</WORD>
<WORD coords="1682,696,1835,637,693">ellas</WORD>
<WORD coords="1893,715,2143,660,699">espresa</WORD>
<WORD coords="2187,707,2242,648,704">el</WORD>
<WORD coords="2293,708,2567,649,706">cociente</WORD>
<WORD coords="2623,713,2682,659,713">6.</WORD>
<WORD coords="2776,741,3027,662,720">Ahora,</WORD>
</LINE>
<LINE>
<WORD coords="652,782,707,726,780">al</WORD>
<WORD coords="760,799,1139,728,785">multiplicar</WORD>
<WORD coords="1173,790,1229,736,790">el</WORD>
<WORD coords="1283,795,1526,737,793">divisor</WORD>
<WORD coords="1577,796,1609,750,800">5</WORD>
<WORD coords="1657,816,1765,762,802">por</WORD>
<WORD coords="1809,801,1843,752,802">3</WORD>
<WORD coords="1874,817,1890,791,813">,</WORD>
<WORD coords="1936,810,2247,759,807">tomamos</WORD>
<WORD coords="2293,812,2329,761,812">3</WORD>
<WORD coords="2393,822,2730,762,816">sumandos</WORD>
<WORD coords="2776,824,2853,767,823">de</WORD>
<WORD coords="2899,832,3022,790,829">una</WORD>
</LINE>
<LINE>
<WORD coords="652,893,770,851,892">vez</WORD>
<WORD coords="807,901,824,859,907">¡</WORD>
<WORD coords="860,916,1041,838,892">luego</WORD>
<WORD coords="1090,897,1149,841,896">el</WORD>
<WORD coords="1190,905,1495,845,902">sumando</WORD>
<WORD coords="1546,907,1619,856,909">15</WORD>
<WORD coords="1663,912,1860,856,909">estará</WORD>
<WORD coords="1914,920,2249,857,915">contenido</WORD>
<WORD coords="2300,921,2424,873,920">tres</WORD>
<WORD coords="2474,926,2654,885,924">veces</WORD>
<WORD coords="2699,931,2910,889,929">menos</WORD>
<WORD coords="2942,935,3019,895,934">en</WORD>
</LINE>
<LINE>
<WORD coords="648,997,708,939,996">el</WORD>
<WORD coords="762,1006,1146,941,1000">dividendo:</WORD>
<WORD coords="1206,1026,1354,968,1009">pero</WORD>
<WORD coords="1407,1011,1467,953,1011">el</WORD>
<WORD coords="1525,1018,1787,974,1016">numero</WORD>
<WORD coords="1842,1037,1964,982,1021">que</WORD>
<WORD coords="2008,1041,2263,983,1023">espresa</WORD>
<WORD coords="2310,1028,2398,971,1027">las</WORD>
<WORD coords="2455,1031,2635,992,1030">veces</WORD>
<WORD coords="2688,1053,2812,996,1037">que</WORD>
<WORD coords="2873,1043,3020,993,1039">otra</WORD>
</LINE>
<LINE>
<WORD coords="642,1104,773,1047,1101">está</WORD>
<WORD coords="817,1113,1155,1051,1108">contenido</WORD>
<WORD coords="1202,1114,1281,1075,1113">en</WORD>
<WORD coords="1311,1116,1368,1059,1116">el</WORD>
<WORD coords="1417,1123,1765,1059,1120">dividendo</WORD>
<WORD coords="1792,1140,1829,1112,1140">v</WORD>
<WORD coords="1841,1127,1905,1089,1126">se</WORD>
<WORD coords="1964,1130,2147,1072,1128">llama</WORD>
<WORD coords="2200,1153,2510,1077,1133">cogiente;</WORD>
<WORD coords="2549,1163,2728,1086,1137">luego</WORD>
<WORD coords="2775,1144,2828,1089,1143">el</WORD>
<WORD coords="2857,1149,3006,1106,1146">nue*</WORD>
</LINE>
<LINE>
<WORD coords="639,1219,728,1168,1208">yo</WORD>
<WORD coords="788,1218,1071,1155,1214">cociente</WORD>
<WORD coords="1116,1220,1155,1168,1226">2</WORD>
<WORD coords="1210,1223,1347,1165,1221">será</WORD>
<WORD coords="1419,1224,1455,1172,1228">3</WORD>
<WORD coords="1507,1229,1686,1187,1227">veces</WORD>
<WORD coords="1768,1236,1931,1193,1234">menx</WORD>
<WORD coords="1954,1234,1983,1196,1234">r</WORD>
<WORD coords="2028,1253,2147,1198,1235">que</WORD>
<WORD coords="2202,1238,2255,1183,1238">el</WORD>
<WORD coords="2324,1258,2642,1186,1243">primitivo</WORD>
<WORD coords="2700,1272,2784,1197,1257">6,</WORD>
<WORD coords="2851,1252,2891,1196,1252">ó</WORD>
<WORD coords="2948,1255,3007,1197,1254">lo</WORD>
</LINE>
<LINE>
<WORD coords="645,1337,770,1278,1319">que</WORD>
<WORD coords="825,1325,894,1284,1323">es</WORD>
<WORD coords="943,1324,1004,1266,1323">lo</WORD>
<WORD coords="1057,1332,1288,1269,1329">mismo</WORD>
<WORD coords="1318,1351,1341,1316,1351">f</WORD>
<WORD coords="1388,1333,1448,1276,1333">el</WORD>
<WORD coords="1504,1355,1824,1278,1340">primitivo</WORD>
<WORD coords="1886,1344,1953,1305,1343">se</WORD>
<WORD coords="2001,1349,2192,1286,1347">habrá</WORD>
<WORD coords="2265,1356,2557,1292,1352">dividido</WORD>
<WORD coords="2609,1368,2721,1314,1355">por</WORD>
<WORD coords="2775,1368,2856,1306,1364">3,</WORD>
<WORD coords="2925,1362,2979,1303,1362">L</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="646,1428,767,1352,1428">tí*</WORD>
<WORD coords="836,1443,924,1368,1436">Q-</WORD>
<WORD coords="979,1434,1060,1372,1431">d.</WORD>
<WORD coords="1114,1446,1199,1373,1446">m</WORD>
<WORD coords="1934,1455,1967,1399,1455">&gt;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="892,1548,1015,1482,1543">%&gt;°</WORD>
<WORD coords="1127,1554,1607,1484,1549">Considerando</WORD>
<WORD coords="1681,1558,1736,1499,1557">al</WORD>
<WORD coords="1795,1562,2144,1500,1559">dividendo</WORD>
<WORD coords="2220,1567,2404,1526,1564">como</WORD>
<WORD coords="2452,1590,2809,1512,1569">producto,</WORD>
<WORD coords="2875,1598,2916,1540,1590">y</WORD>
<WORD coords="2972,1583,3006,1525,1583">i</WORD>
</LINE>
<LINE>
<WORD coords="639,1639,736,1576,1638">los</WORD>
<WORD coords="788,1647,1090,1585,1643">términos</WORD>
<WORD coords="1143,1648,1223,1592,1648">de</WORD>
<WORD coords="1280,1655,1337,1595,1653">la</WORD>
<WORD coords="1390,1663,1665,1601,1659">división</WORD>
<WORD coords="1724,1666,1905,1626,1664">como</WORD>
<WORD coords="1940,1672,2206,1609,1668">factores</WORD>
<WORD coords="2242,1684,2259,1658,1681">.</WORD>
<WORD coords="2288,1678,2653,1618,1674">tendremos</WORD>
<WORD coords="2690,1679,2768,1640,1678">en</WORD>
<WORD coords="2827,1683,2883,1624,1682">la</WORD>
<WORD coords="2913,1687,3011,1648,1685">es-</WORD>
</LINE>
<LINE>
<WORD coords="640,1765,891,1689,1745">presión</WORD>
<WORD coords="939,1754,1021,1702,1759">24</WORD>
<WORD coords="1053,1763,1071,1719,1767">;</WORD>
<WORD coords="1104,1756,1143,1704,1764">6</WORD>
<WORD coords="1310,1761,1347,1710,1766">4</WORD>
<WORD coords="1389,1780,1509,1726,1765">que</WORD>
<WORD coords="1561,1771,1616,1713,1768">el</WORD>
<WORD coords="1674,1772,1914,1712,1770">divisor</WORD>
<WORD coords="1960,1779,1999,1721,1778">6</WORD>
<WORD coords="2051,1778,2184,1738,1776">sera</WORD>
<WORD coords="2246,1780,2366,1743,1778">uno</WORD>
<WORD coords="2413,1781,2491,1725,1780">de</WORD>
<WORD coords="2553,1782,2642,1727,1781">los</WORD>
<WORD coords="2675,1802,3015,1733,1786">sumando^</WORD>
</LINE>
<LINE>
<WORD coords="639,1875,678,1812,1877">y</WORD>
<WORD coords="742,1855,811,1816,1852">su</WORD>
<WORD coords="855,1865,1114,1817,1861">numero</WORD>
<WORD coords="1160,1868,1219,1810,1867">el</WORD>
<WORD coords="1261,1881,1328,1815,1875">4^</WORD>
<WORD coords="1415,1871,1498,1814,1870">Al</WORD>
<WORD coords="1545,1876,1782,1816,1874">dividir</WORD>
<WORD coords="1818,1893,1833,1866,1893">,</WORD>
<WORD coords="1862,1897,2008,1842,1880">pues</WORD>
<WORD coords="2034,1903,2059,1864,1892">,</WORD>
<WORD coords="2100,1882,2139,1829,1882">6</WORD>
<WORD coords="2187,1902,2291,1848,1883">por</WORD>
<WORD coords="2326,1888,2362,1838,1888">2</WORD>
<WORD coords="2410,1907,2568,1850,1889">cuyo</WORD>
<WORD coords="2614,1894,2889,1834,1890">cociente</WORD>
<WORD coords="2938,1900,3005,1858,1898">es</WORD>
</LINE>
<LINE>
<WORD coords="640,1962,678,1907,1973">3</WORD>
<WORD coords="707,1986,729,1947,1986">r</WORD>
<WORD coords="786,1964,866,1905,1964">de</WORD>
<WORD coords="929,1971,1012,1929,1970">un</WORD>
<WORD coords="1066,1975,1374,1918,1973">sumando</WORD>
<WORD coords="1430,1978,1471,1924,1981">6</WORD>
<WORD coords="1532,1983,1751,1922,1981">hemos</WORD>
<WORD coords="1825,1986,2027,1925,1984">hecho</WORD>
<WORD coords="2100,1989,2214,1933,1988">dos</WORD>
<WORD coords="2288,1995,2625,1938,1993">sumandos</WORD>
<WORD coords="2680,2018,2918,1941,2000">iguales</WORD>
<WORD coords="2966,2020,3004,1951,2020">¿</WORD>
</LINE>
<LINE>
<WORD coords="641,2084,719,2016,2082">3;</WORD>
<WORD coords="801,2072,907,2034,2071">ero</WORD>
<WORD coords="964,2077,1132,2030,2076">antes</WORD>
<WORD coords="1183,2083,1365,2020,2080">habia</WORD>
<WORD coords="1411,2084,1453,2032,2088">4</WORD>
<WORD coords="1505,2089,1844,2033,2086">sumandos</WORD>
<WORD coords="1892,2113,2133,2034,2092">iguales</WORD>
<WORD coords="2177,2096,2207,2041,2096">á</WORD>
<WORD coords="2267,2099,2304,2045,2099">6</WORD>
<WORD coords="2337,2113,2354,2085,2113">,</WORD>
<WORD coords="2421,2125,2604,2044,2100">luego</WORD>
<WORD coords="2654,2110,2838,2050,2108">ahora</WORD>
<WORD coords="2893,2115,3002,2055,2114">ha-</WORD>
</LINE>
<LINE>
<WORD coords="633,2177,746,2115,2177">bía</WORD>
<WORD coords="800,2179,836,2127,2188">8</WORD>
<WORD coords="897,2187,1241,2127,2183">sumandos</WORD>
<WORD coords="1303,2209,1542,2132,2190">iguales</WORD>
<WORD coords="1589,2194,1617,2138,2196">á</WORD>
<WORD coords="1662,2195,1717,2143,2195">3.</WORD>
<WORD coords="1812,2199,1868,2138,2199">Y</WORD>
<WORD coords="1942,2202,2122,2162,2200">como</WORD>
<WORD coords="2183,2203,2235,2149,2202">el</WORD>
<WORD coords="2290,2210,2549,2169,2208">numero</WORD>
<WORD coords="2622,2216,2700,2158,2215">de</WORD>
<WORD coords="2752,2224,3000,2180,2219">suman-</WORD>
</LINE>
<LINE>
<WORD coords="635,2283,754,2224,2281">dos</WORD>
<WORD coords="831,2292,1155,2229,2288">llamamos</WORD>
<WORD coords="1216,2312,1327,2253,2294">por</WORD>
<WORD coords="1382,2298,1573,2238,2297">ahora</WORD>
<WORD coords="1630,2305,1908,2245,2301">cociente</WORD>
<WORD coords="1941,2317,1959,2293,2312">,</WORD>
<WORD coords="2014,2308,2079,2271,2307">se</WORD>
<WORD coords="2134,2330,2315,2253,2310">sigue</WORD>
<WORD coords="2363,2332,2482,2278,2315">que</WORD>
<WORD coords="2537,2319,2589,2265,2318">el</WORD>
<WORD coords="2638,2322,2845,2284,2321">nuevo</WORD>
<WORD coords="2898,2324,3001,2286,2323">eo-</WORD>
</LINE>
<LINE>
<WORD coords="635,2391,837,2345,2390">cíente</WORD>
<WORD coords="881,2397,947,2357,2395">es</WORD>
<WORD coords="1007,2402,1094,2346,2404">8,</WORD>
<WORD coords="1152,2399,1190,2343,2406">ó</WORD>
<WORD coords="1237,2420,1356,2362,2402">que</WORD>
<WORD coords="1399,2403,1453,2347,2402">el</WORD>
<WORD coords="1514,2410,1792,2348,2406">cociente</WORD>
<WORD coords="1834,2430,2153,2356,2414">primitivo</WORD>
<WORD coords="2208,2425,2252,2366,2423">4</WORD>
<WORD coords="2311,2421,2375,2382,2420">se</WORD>
<WORD coords="2441,2430,2518,2365,2427">ha</WORD>
<WORD coords="2566,2450,2999,2372,2430">multiplicado</WORD>
</LINE>
<LINE>
<WORD coords="636,2515,750,2453,2492">por</WORD>
<WORD coords="804,2499,839,2449,2499">2</WORD>
<WORD coords="875,2513,893,2486,2509">,</WORD>
<WORD coords="947,2506,1027,2442,2500">L.</WORD>
<WORD coords="1078,2505,1135,2454,2501">2.</WORD>
<WORD coords="1165,2488,1200,2449,2488">o</WORD>
<WORD coords="1268,2522,1331,2451,2522">Q</WORD>
<WORD coords="1339,2512,1354,2497,2512">#</WORD>
<WORD coords="1404,2512,1483,2451,2509">D.</WORD>
<WORD coords="1542,2516,1625,2453,2510">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="717,2605,819,2548,2608">96.</WORD>
<WORD coords="915,2616,1250,2549,2609">Coralario.</WORD>
<WORD coords="1343,2616,1462,2558,2614">Del</WORD>
<WORD coords="1513,2624,1787,2573,2619">teorema</WORD>
<WORD coords="1848,2631,2118,2571,2627">anterior</WORD>
<WORD coords="2164,2634,2229,2594,2632">se</WORD>
<WORD coords="2286,2657,2518,2577,2635">sigue;</WORD>
<WORD coords="2566,2641,2682,2583,2639">l.Q</WORD>
<WORD coords="2736,2661,2855,2603,2643">que</WORD>
<WORD coords="2878,2666,3001,2595,2642">p*.-</WORD>
</LINE>
<LINE>
<WORD coords="631,2709,710,2665,2708">ta</WORD>
<WORD coords="751,2715,981,2653,2710">dividir</WORD>
<WORD coords="1027,2721,1109,2675,2717">un</WORD>
<WORD coords="1164,2721,1424,2662,2718">cociente</WORD>
<WORD coords="1476,2742,1594,2679,2724">por</WORD>
<WORD coords="1653,2731,1735,2690,2729">un</WORD>
<WORD coords="1781,2738,2026,2692,2733">numero</WORD>
<WORD coords="2059,2752,2078,2724,2752">y</WORD>
<WORD coords="2132,2739,2206,2700,2739">no</WORD>
<WORD coords="2252,2764,2378,2686,2740">hay</WORD>
<WORD coords="2422,2747,2550,2707,2745">mas</WORD>
<WORD coords="2606,2747,2741,2695,2745">sino</WORD>
<WORD coords="2796,2750,2998,2693,2748">multu</WORD>
</LINE>
<LINE>
<WORD coords="623,2842,674,2765,2842">f</WORD>
<WORD coords="680,2816,833,2758,2814">licor</WORD>
<WORD coords="878,2819,934,2762,2818">el</WORD>
<WORD coords="983,2824,1218,2764,2821">divisor</WORD>
<WORD coords="1252,2846,1373,2779,2824">por</WORD>
<WORD coords="1429,2833,1605,2773,2829">dicho</WORD>
<WORD coords="1678,2838,1924,2796,2834">numero</WORD>
<WORD coords="1954,2847,1978,2805,2845">;</WORD>
<WORD coords="2033,2844,2090,2794,2839">2,</WORD>
<WORD coords="2119,2826,2153,2790,2826">o</WORD>
<WORD coords="2221,2863,2338,2811,2851">quc</WORD>
<WORD coords="2414,2868,2572,2806,2852">para</WORD>
<WORD coords="2624,2855,2715,2815,2853">mll</WORD>
<WORD coords="2723,2855,2748,2794,2855">l</WORD>
<WORD coords="2747,2853,2791,2808,2851">tl</WORD>
<WORD coords="2789,2877,2836,2805,2877">p</WORD>
<WORD coords="2843,2859,2999,2799,2856">hcaf</WORD>
</LINE>
<LINE>
<WORD coords="629,2923,715,2879,2920">un</WORD>
<WORD coords="760,2929,1022,2869,2924">cociente</WORD>
<WORD coords="1059,2954,1174,2881,2928">por</WORD>
<WORD coords="1217,2935,1299,2892,2933">un</WORD>
<WORD coords="1343,2937,1588,2894,2935">numero</WORD>
<WORD coords="1617,2954,1635,2926,2950">,</WORD>
<WORD coords="1676,2946,1926,2883,2942">bastara</WORD>
<WORD coords="1983,2952,2212,2890,2948">dividir</WORD>
<WORD coords="2262,2954,2312,2897,2953">el</WORD>
<WORD coords="2356,2959,2590,2900,2957">divisor</WORD>
<WORD coords="2624,2985,2743,2918,2962">por</WORD>
<WORD coords="2776,2964,2830,2909,2963">el</WORD>
<WORD coords="2885,2967,2999,2928,2966">nu-</WORD>
</LINE>
<LINE>
<WORD coords="605,3032,796,2976,3028">&apos;nieto</WORD>
<WORD coords="847,3036,1024,2975,3034">dado.</WORD>
<WORD coords="1116,3038,1237,2982,3038">Asi</WORD>
<WORD coords="1271,3060,1291,3025,3057">,</WORD>
<WORD coords="1346,3042,1399,2984,3041">si</WORD>
<WORD coords="1443,3046,1500,2988,3044">el</WORD>
<WORD coords="1559,3051,1836,2991,3048">cociente</WORD>
<WORD coords="1855,3097,1966,3003,3097">J24</WORD>
<WORD coords="2023,3076,2245,3001,3058">quiero</WORD>
<WORD coords="2312,3086,2699,3009,3067">multiplicar</WORD>
<WORD coords="2757,3090,2873,3032,3072">por</WORD>
<WORD coords="2922,3073,2961,3023,3073">2</WORD>
<WORD coords="2965,3090,2988,3057,3090">t</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="627,3247,907,3182,3243">dividiré</WORD>
<WORD coords="958,3252,1019,3192,3252">el</WORD>
<WORD coords="1068,3258,1309,3189,3255">divisor</WORD>
<WORD coords="1344,3259,1382,3204,3263">6</WORD>
<WORD coords="1428,3279,1540,3221,3260">por</WORD>
<WORD coords="1591,3266,1626,3213,3267">2</WORD>
<WORD coords="1690,3288,1730,3225,3280">y</WORD>
<WORD coords="1776,3272,1994,3211,3268">tendré</WORD>
<WORD coords="2063,3276,2124,3216,3275">el</WORD>
<WORD coords="2177,3293,2480,3219,3278">producto</WORD>
<WORD coords="2553,3286,2631,3235,3285">24</WORD>
<WORD coords="2657,3308,2682,3248,3307">j</WORD>
<WORD coords="2739,3307,2785,3250,3298">y</WORD>
<WORD coords="2827,3289,2879,3229,3289">si</WORD>
<WORD coords="2934,3293,3003,3232,3291">la</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2574,3393,2606,3342,3393">3</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="629,3451,854,3392,3436">quiero</WORD>
<WORD coords="912,3457,1106,3383,3441">partir</WORD>
<WORD coords="1162,3464,1273,3405,3445">por</WORD>
<WORD coords="1324,3448,1362,3397,3454">2</WORD>
<WORD coords="1391,3464,1409,3436,3462">,</WORD>
<WORD coords="1466,3452,1544,3410,3451">no</WORD>
<WORD coords="1590,3456,1742,3394,3454">haré</WORD>
<WORD coords="1784,3463,1925,3399,3459">sino</WORD>
<WORD coords="1973,3467,2101,3408,3465">muí</WORD>
<WORD coords="2136,3485,2354,3408,3468">iplicar</WORD>
<WORD coords="2397,3474,2458,3413,3472">el</WORD>
<WORD coords="2517,3476,2757,3415,3474">divisor</WORD>
<WORD coords="2800,3482,2842,3424,3480">6.</WORD>
<WORD coords="2886,3497,2999,3434,3479">pof</WORD>
</LINE>
<LINE>
<WORD coords="607,3542,668,3483,3547">48</WORD>
<WORD coords="710,3562,748,3503,3560">y</WORD>
<WORD coords="802,3550,1018,3490,3544">tendré</WORD>
<WORD coords="1108,3552,1189,3501,3555">24</WORD>
<WORD coords="1274,3560,1552,3498,3557">cociente</WORD>
<WORD coords="1601,3581,1858,3507,3564">pedido,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="710,3732,812,3676,3737">97.</WORD>
<WORD coords="898,3745,1232,3676,3738">Teorema.</WORD>
<WORD coords="1305,3744,1389,3684,3741">El</WORD>
<WORD coords="1428,3753,1691,3692,3749">cociente</WORD>
<WORD coords="1749,3757,1825,3714,3754">no</WORD>
<WORD coords="1881,3756,1947,3717,3755">se</WORD>
<WORD coords="1999,3762,2196,3701,3759">altera</WORD>
<WORD coords="2222,3770,2239,3750,3769">,</WORD>
<WORD coords="2282,3769,2342,3705,3767">si</WORD>
<WORD coords="2398,3771,2462,3728,3768">se</WORD>
<WORD coords="2528,3793,2904,3713,3770">multiplican</WORD>
<WORD coords="2950,3784,2983,3734,3784">a</WORD>
</LINE>
<LINE>
<WORD coords="579,3862,848,3768,3842">Surten</WORD>
<WORD coords="901,3840,1006,3800,3839">sus</WORD>
<WORD coords="1058,3849,1158,3787,3844">dos</WORD>
<WORD coords="1209,3851,1496,3795,3848">términos</WORD>
<WORD coords="1547,3873,1664,3809,3852">por</WORD>
<WORD coords="1711,3859,1791,3821,3859">un</WORD>
<WORD coords="1851,3864,2059,3811,3862">mismo</WORD>
<WORD coords="2124,3874,2391,3830,3867">numero.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="756,3961,1254,3877,3951">Démoumcton.</WORD>
<WORD coords="1292,3961,1431,3899,3960">Con</WORD>
<WORD coords="1486,3989,1867,3909,3966">muitipl^r</WORD>
<WORD coords="1900,3975,1961,3917,3974">el</WORD>
<WORD coords="2016,3981,2367,3915,3978">dividendo</WORD>
<WORD coords="2408,4002,2520,3941,3981">por</WORD>
<WORD coords="2569,3985,2648,3945,3984">un</WORD>
<WORD coords="2703,3991,2990,3899,3989">numeroi</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0064.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0065.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0065.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1360,508,1504,412,505">55</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="236,648,308,575,633">|4</WORD>
<WORD coords="380,620,556,562,619">muUí</WORD>
<WORD coords="576,638,730,561,619">^líoa</WORD>
<WORD coords="783,621,838,562,619">el</WORD>
<WORD coords="903,621,1179,561,618">cociente</WORD>
<WORD coords="1230,634,1340,582,616">por</WORD>
<WORD coords="1400,620,1587,576,617">diuio</WORD>
<WORD coords="1653,619,1903,583,618">nn^-^</WORD>
<WORD coords="1951,648,2084,565,636">£9^</WORD>
<WORD coords="2189,634,2255,569,621">&apos;y</WORD>
<WORD coords="2464,605,2509,593,605">-</WORD>
</LINE>
<LINE>
<WORD coords="230,741,484,666,724">fipücar</WORD>
<WORD coords="530,724,586,668,723">el</WORD>
<WORD coords="654,726,895,669,724">divisor</WORD>
<WORD coords="953,743,1062,687,725">por</WORD>
<WORD coords="1104,725,1160,671,724">el</WORD>
<WORD coords="1210,725,1434,668,723">mismo</WORD>
<WORD coords="1479,728,1683,690,726">numei</WORD>
<WORD coords="1761,732,1769,719,730">,</WORD>
<WORD coords="2514,774,2613,698,774">^</WORD>
</LINE>
<LINE>
<WORD coords="245,853,275,779,842">(</WORD>
<WORD coords="328,831,402,778,831">95</WORD>
<WORD coords="454,848,484,780,848">)</WORD>
<WORD coords="575,849,685,794,830">por</WORD>
<WORD coords="753,833,809,779,832">el</WORD>
<WORD coords="859,832,1082,774,831">mismo</WORD>
<WORD coords="1127,832,1382,794,831">numere</WORD>
<WORD coords="1421,846,1438,799,846">;</WORD>
<WORD coords="1486,854,1668,779,825">luego</WORD>
<WORD coords="1724,837,1777,779,836">lo</WORD>
<WORD coords="1847,832,1854,820,832">,</WORD>
<WORD coords="1863,852,1903,817,852">r</WORD>
<WORD coords="1936,830,1939,825,831">.</WORD>
<WORD coords="2012,855,2106,793,844">p&lt;jn</WORD>
<WORD coords="2176,835,2291,799,834">una</WORD>
<WORD coords="2337,852,2501,796,840">pa&apos;te</WORD>
<WORD coords="2551,844,2620,807,842">se</WORD>
</LINE>
<LINE>
<WORD coords="236,937,296,879,936">ie</WORD>
<WORD coords="357,939,644,896,936">aumenta</WORD>
<WORD coords="707,954,816,900,936">por</WORD>
<WORD coords="866,939,999,894,937">otra</WORD>
<WORD coords="1044,941,1109,902,940">se</WORD>
<WORD coords="1183,940,1237,884,939">ie</WORD>
<WORD coords="1298,961,1704,881,939">disminuye,</WORD>
<WORD coords="1749,961,1785,905,961">y</WORD>
<WORD coords="1852,962,1959,905,943">por</WORD>
<WORD coords="2020,960,2272,905,943">coiisg&apos;</WORD>
<WORD coords="2288,924,2295,890,924">;</WORD>
<WORD coords="2312,947,2443,906,948">-iUe</WORD>
<WORD coords="2456,958,2615,904,952">Jaer-</WORD>
</LINE>
<LINE>
<WORD coords="241,1043,567,1003,1041">Bhanecera</WORD>
<WORD coords="614,1044,670,993,1043">el</WORD>
<WORD coords="731,1046,980,988,1043">mismo.</WORD>
<WORD coords="2314,1054,2342,1031,1054">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="408,1149,527,1093,1149">Del</WORD>
<WORD coords="571,1152,799,1093,1150">mismo</WORD>
<WORD coords="851,1167,1092,1097,1150">modo,</WORD>
<WORD coords="1148,1152,1263,1113,1151">con</WORD>
<WORD coords="1326,1172,1520,1098,1153">partir</WORD>
<WORD coords="1563,1156,1619,1099,1155">el</WORD>
<WORD coords="1679,1158,1720,1101,1158">d</WORD>
<WORD coords="1758,1157,1810,1103,1156">vi</WORD>
<WORD coords="1968,1131,1980,1104,1131">r</WORD>
<WORD coords="2179,1157,2189,1127,1157">t</WORD>
<WORD coords="2269,1165,2347,1128,1164">un</WORD>
<WORD coords="2404,1167,2623,1128,1164">nuire-</WORD>
</LINE>
<LINE>
<WORD coords="240,1254,312,1213,1253">ro</WORD>
<WORD coords="345,1271,362,1242,1271">,</WORD>
<WORD coords="393,1273,597,1200,1257">queda</WORD>
<WORD coords="627,1275,875,1202,1258">partido</WORD>
<WORD coords="909,1260,965,1204,1259">ti</WORD>
<WORD coords="1009,1260,1286,1201,1257">cociente</WORD>
<WORD coords="1323,1278,1433,1224,1260">por</WORD>
<WORD coords="1486,1263,1672,1206,1261">dicho</WORD>
<WORD coords="1706,1266,1942,1228,1264">nume..</WORD>
<WORD coords="2000,1291,2111,1218,1277">^94</WORD>
<WORD coords="2194,1282,2208,1254,1282">,</WORD>
<WORD coords="2255,1286,2290,1232,1279">y</WORD>
<WORD coords="2346,1273,2455,1233,1270">con</WORD>
<WORD coords="2491,1290,2623,1235,1274">|&gt;&lt;*r-</WORD>
</LINE>
<LINE>
<WORD coords="237,1380,322,1311,1361">%t</WORD>
<WORD coords="385,1360,442,1305,1360">ti</WORD>
<WORD coords="501,1363,746,1306,1362">divisor</WORD>
<WORD coords="793,1381,902,1328,1364">por</WORD>
<WORD coords="955,1366,1012,1309,1365">ei</WORD>
<WORD coords="1059,1368,1283,1311,1366">mismo</WORD>
<WORD coords="1330,1371,1591,1332,1369">numero</WORD>
<WORD coords="1627,1385,1643,1360,1385">,</WORD>
<WORD coords="1694,1390,1895,1319,1373">queda</WORD>
<WORD coords="1948,1380,2126,1330,1377">muíu</WORD>
<WORD coords="2181,1375,2260,1325,1375">^c</WORD>
<WORD coords="2275,1376,2290,1358,1376">c</WORD>
<WORD coords="2311,1375,2365,1349,1375">u&lt;</WORD>
<WORD coords="2432,1384,2482,1327,1383">el</WORD>
<WORD coords="2520,1387,2623,1349,1384">co-</WORD>
</LINE>
<LINE>
<WORD coords="248,1485,448,1409,1465">gie-nte</WORD>
<WORD coords="495,1492,522,1419,1485">(</WORD>
<WORD coords="572,1469,650,1415,1472">95</WORD>
<WORD coords="703,1488,728,1414,1486">)</WORD>
<WORD coords="777,1485,886,1432,1469">por</WORD>
<WORD coords="938,1474,995,1417,1473">el</WORD>
<WORD coords="1043,1473,1266,1416,1471">mismo</WORD>
<WORD coords="1312,1478,1554,1437,1475">numen</WORD>
<WORD coords="1608,1493,1623,1446,1493">;</WORD>
<WORD coords="1692,1500,1848,1444,1477">uego</WORD>
<WORD coords="1903,1480,1960,1426,1479">io</WORD>
<WORD coords="2017,1500,2134,1447,1482">que</WORD>
<WORD coords="2196,1500,2301,1450,1482">por</WORD>
<WORD coords="2335,1496,2453,1455,1492">una</WORD>
<WORD coords="2487,1508,2623,1455,1493">par-</WORD>
</LINE>
<LINE>
<WORD coords="250,1578,312,1523,1574">te</WORD>
<WORD coords="389,1573,453,1536,1572">se</WORD>
<WORD coords="515,1574,568,1519,1573">le</WORD>
<WORD coords="630,1585,920,1531,1577">aumenta</WORD>
<WORD coords="981,1592,1089,1541,1576">por</WORD>
<WORD coords="1144,1580,1278,1535,1578">otra</WORD>
<WORD coords="1323,1583,1389,1544,1581">se</WORD>
<WORD coords="1447,1586,1503,1528,1585">le</WORD>
<WORD coords="1570,1609,1979,1530,1585">disminuye,</WORD>
<WORD coords="2030,1611,2066,1553,1610">y</WORD>
<WORD coords="2123,1609,2236,1554,1592">por</WORD>
<WORD coords="2289,1601,2349,1546,1600">lo</WORD>
<WORD coords="2396,1612,2623,1565,1605">misma</WORD>
</LINE>
<LINE>
<WORD coords="247,1690,330,1638,1679">po</WORD>
<WORD coords="376,1680,441,1641,1680">se</WORD>
<WORD coords="488,1689,700,1623,1681">altera,</WORD>
<WORD coords="796,1685,850,1625,1685">L</WORD>
<WORD coords="927,1698,1010,1626,1688">Q.</WORD>
<WORD coords="1070,1685,1147,1629,1685">D.</WORD>
<WORD coords="1204,1689,1287,1628,1687">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="500,1810,797,1730,1787">Ejemplo.</WORD>
<WORD coords="886,1791,952,1727,1790">Si</WORD>
<WORD coords="1019,1791,1093,1754,1790">en</WORD>
<WORD coords="1147,1793,1203,1737,1792">la</WORD>
<WORD coords="1252,1814,1567,1739,1795">espresion</WORD>
<WORD coords="1619,1800,1692,1749,1800">12</WORD>
<WORD coords="1724,1801,1738,1765,1801">:</WORD>
<WORD coords="1781,1799,1817,1748,1800">6</WORD>
<WORD coords="1850,1799,1959,1759,1799">==</WORD>
<WORD coords="1990,1803,2023,1756,1803">2</WORD>
<WORD coords="2058,1818,2080,1792,1818">,</WORD>
<WORD coords="2137,1833,2623,1754,1819">mullicamos</WORD>
</LINE>
<LINE>
<WORD coords="246,1898,341,1831,1891">los</WORD>
<WORD coords="387,1892,501,1833,1891">dos</WORD>
<WORD coords="554,1897,858,1839,1894">términos</WORD>
<WORD coords="913,1916,1023,1859,1896">por</WORD>
<WORD coords="1064,1900,1103,1849,1903">2</WORD>
<WORD coords="1136,1915,1151,1886,1910">,</WORD>
<WORD coords="1192,1905,1548,1846,1901">tendremos</WORD>
<WORD coords="1584,1907,1665,1857,1906">24</WORD>
<WORD coords="1693,1909,1710,1877,1908">;</WORD>
<WORD coords="1749,1908,1817,1859,1907">12</WORD>
<WORD coords="1852,1895,1956,1881,1900">—</WORD>
<WORD coords="2001,1910,2022,1865,1910">2</WORD>
<WORD coords="2058,1932,2081,1898,1930">,</WORD>
<WORD coords="2111,1929,2228,1877,1915">que</WORD>
<WORD coords="2276,1921,2341,1885,1920">es</WORD>
<WORD coords="2375,1924,2431,1871,1924">el</WORD>
<WORD coords="2468,1932,2618,1875,1929">mis-</WORD>
</LINE>
<LINE>
<WORD coords="243,1998,349,1959,1996">mo</WORD>
<WORD coords="408,2000,682,1941,1998">cociente</WORD>
<WORD coords="715,2016,732,1966,2016">;</WORD>
<WORD coords="770,2020,812,1965,2016">y</WORD>
<WORD coords="869,2002,922,1946,2002">si</WORD>
<WORD coords="965,2006,1058,1949,2005">ios</WORD>
<WORD coords="1101,2026,1399,1952,2008">parúmoa</WORD>
<WORD coords="1459,2035,1569,1974,2012">por</WORD>
<WORD coords="1606,2016,1642,1965,2016">2</WORD>
<WORD coords="1676,2032,1695,2001,2025">,</WORD>
<WORD coords="1726,2019,1862,1979,2016">sera</WORD>
<WORD coords="1916,2020,1955,1967,2020">5</WORD>
<WORD coords="1988,2021,2005,1987,2019">;</WORD>
<WORD coords="2039,2018,2068,1973,2015">3</WORD>
<WORD coords="2094,2006,2200,1990,2009">~</WORD>
<WORD coords="2235,2026,2269,1978,2026">z</WORD>
<WORD coords="2308,2048,2424,1993,2033">que</WORD>
<WORD coords="2455,2040,2621,1989,2036">tam#</WORD>
</LINE>
<LINE>
<WORD coords="244,2112,388,2045,2105">bien</WORD>
<WORD coords="443,2105,510,2069,2104">es</WORD>
<WORD coords="567,2111,624,2051,2109">el</WORD>
<WORD coords="671,2113,920,2052,2110">mismo,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="334,2213,434,2160,2216">93.</WORD>
<WORD coords="529,2214,725,2156,2213">C&amp;roL</WORD>
<WORD coords="828,2223,1057,2162,2219">Puesto</WORD>
<WORD coords="1103,2240,1224,2184,2224">que</WORD>
<WORD coords="1281,2224,1339,2168,2224">el</WORD>
<WORD coords="1391,2230,1668,2171,2226">cociente</WORD>
<WORD coords="1724,2233,1805,2195,2232">no</WORD>
<WORD coords="1862,2236,1927,2197,2235">se</WORD>
<WORD coords="1985,2240,2175,2179,2236">altera</WORD>
<WORD coords="2204,2251,2219,2228,2241">,</WORD>
<WORD coords="2235,2254,2476,2204,2247">aunque</WORD>
<WORD coords="2530,2254,2598,2215,2253">se</WORD>
</LINE>
<LINE>
<WORD coords="234,2350,463,2271,2318">.partan</WORD>
<WORD coords="506,2320,720,2261,2317">ambos</WORD>
<WORD coords="766,2325,1065,2267,2322">términos</WORD>
<WORD coords="1116,2346,1222,2291,2327">por</WORD>
<WORD coords="1267,2330,1346,2293,2329">un</WORD>
<WORD coords="1395,2335,1619,2278,2333">mismo</WORD>
<WORD coords="1664,2339,1923,2296,2338">numero</WORD>
<WORD coords="1955,2357,1972,2329,2350">,</WORD>
<WORD coords="2000,2343,2063,2307,2342">se</WORD>
<WORD coords="2111,2367,2284,2292,2346">sigue</WORD>
<WORD coords="2326,2354,2439,2305,2347">l.o</WORD>
<WORD coords="2494,2378,2616,2323,2362">que</WORD>
</LINE>
<LINE>
<WORD coords="236,2423,468,2368,2421">cuando</WORD>
<WORD coords="536,2426,593,2368,2425">el</WORD>
<WORD coords="633,2433,950,2369,2427">dividendo</WORD>
<WORD coords="1004,2452,1043,2396,2447">y</WORD>
<WORD coords="1090,2437,1324,2378,2435">divisor</WORD>
<WORD coords="1366,2448,1670,2390,2442">terminan</WORD>
<WORD coords="1716,2448,1789,2408,2446">en</WORD>
<WORD coords="1847,2452,2016,2412,2449">ceros</WORD>
<WORD coords="2048,2458,2065,2436,2458">,</WORD>
<WORD coords="2120,2476,2421,2404,2455">podemos,</WORD>
<WORD coords="2461,2464,2605,2407,2463">bor.</WORD>
</LINE>
<LINE>
<WORD coords="239,2530,350,2490,2528">rar</WORD>
<WORD coords="394,2529,477,2489,2528">un</WORD>
<WORD coords="549,2534,758,2477,2531">mismo</WORD>
<WORD coords="808,2541,1059,2497,2536">numero</WORD>
<WORD coords="1108,2544,1179,2488,2543">de</WORD>
<WORD coords="1226,2546,1396,2506,2544">ceros</WORD>
<WORD coords="1461,2556,1532,2511,2551">en</WORD>
<WORD coords="1587,2553,1735,2497,2552">cada</WORD>
<WORD coords="1784,2559,2040,2502,2555">termino</WORD>
<WORD coords="2112,2581,2154,2525,2573">y</WORD>
<WORD coords="2223,2580,2491,2524,2565">ejecutar</WORD>
<WORD coords="2535,2575,2596,2520,2573">la</WORD>
</LINE>
<LINE>
<WORD coords="231,2652,511,2576,2633">4ivision</WORD>
<WORD coords="584,2640,692,2599,2638">con</WORD>
<WORD coords="738,2642,789,2585,2641">lo</WORD>
<WORD coords="835,2667,944,2605,2644">que</WORD>
<WORD coords="1006,2670,1200,2593,2648">queda</WORD>
<WORD coords="1235,2665,1252,2619,2665">;</WORD>
<WORD coords="1314,2672,1462,2616,2656">pues</WORD>
<WORD coords="1505,2661,1719,2601,2658">horrar</WORD>
<WORD coords="1759,2664,1840,2626,2663">un</WORD>
<WORD coords="1862,2687,1871,2654,2687">5</WORD>
<WORD coords="1893,2666,2035,2628,2665">cero</WORD>
<WORD coords="2088,2668,2162,2631,2668">en</WORD>
<WORD coords="2211,2672,2360,2615,2670">cada</WORD>
<WORD coords="2393,2683,2616,2632,2675">terna.</WORD>
</LINE>
<LINE>
<WORD coords="233,2743,315,2700,2735">»o</WORD>
<WORD coords="364,2760,651,2684,2743">equivale</WORD>
<WORD coords="706,2748,737,2691,2756">á</WORD>
<WORD coords="793,2754,1089,2693,2750">dividirle</WORD>
<WORD coords="1151,2771,1267,2719,2762">por</WORD>
<WORD coords="1331,2777,1443,2712,2768">10,</WORD>
<WORD coords="1486,2785,1781,2710,2766">suprimir</WORD>
<WORD coords="1847,2772,1960,2715,2771">dos</WORD>
<WORD coords="2016,2793,2302,2720,2774">equivale</WORD>
<WORD coords="2359,2780,2387,2726,2780">á</WORD>
<WORD coords="2447,2799,2614,2724,2788">diyj.</WORD>
</LINE>
<LINE>
<WORD coords="238,2851,395,2787,2845">dirle</WORD>
<WORD coords="447,2867,557,2811,2851">por</WORD>
<WORD coords="624,2858,763,2802,2851">|0u.</WORD>
<WORD coords="854,2858,892,2806,2867">2</WORD>
<WORD coords="941,2839,976,2803,2839">o</WORD>
<WORD coords="1059,2884,1071,2845,2884">r</WORD>
<WORD coords="1087,2875,1150,2804,2875">Q</WORD>
<WORD coords="1158,2863,1231,2827,2863">ue</WORD>
<WORD coords="1302,2869,1532,2813,2867">cuando</WORD>
<WORD coords="1592,2872,1612,2818,2872">l</WORD>
<WORD coords="1650,2872,1678,2836,2872">s</WORD>
<WORD coords="1733,2879,2036,2822,2876">términos</WORD>
<WORD coords="2101,2882,2172,2826,2882">de</WORD>
<WORD coords="2228,2883,2286,2828,2882">la</WORD>
<WORD coords="2339,2892,2611,2829,2885">división</WORD>
</LINE>
<LINE>
<WORD coords="237,2956,381,2913,2953">sean</WORD>
<WORD coords="429,2960,739,2899,2956">divisibles</WORD>
<WORD coords="788,2980,910,2915,2961">por</WORD>
<WORD coords="965,2967,1049,2927,2966">un</WORD>
<WORD coords="1108,2972,1317,2915,2970">mismo</WORD>
<WORD coords="1361,2979,1610,2937,2976">numero</WORD>
<WORD coords="1644,2991,1660,2969,2986">,</WORD>
<WORD coords="1706,2982,1795,2931,2977">tal</WORD>
<WORD coords="1834,2986,1996,2946,2984">como</WORD>
<WORD coords="2053,2994,2092,2941,2994">%</WORD>
<WORD coords="2110,3004,2129,2976,3004">y</WORD>
<WORD coords="2172,2986,2203,2938,2986">3</WORD>
<WORD coords="2245,3004,2263,2978,3004">,</WORD>
<WORD coords="2293,3006,2351,2942,2996">5,</WORD>
<WORD coords="2409,2994,2443,2942,2994">7</WORD>
<WORD coords="2496,2997,2593,2938,2997">fc?.</WORD>
</LINE>
<LINE>
<WORD coords="234,3096,302,3013,3090">¥</WORD>
<WORD coords="362,3083,766,3007,3068">twpüficara</WORD>
<WORD coords="832,3072,895,3018,3071">la</WORD>
<WORD coords="945,3077,1213,3017,3073">división</WORD>
<WORD coords="1249,3099,1268,3064,3094">,</WORD>
<WORD coords="1324,3090,1760,3025,3083">dividiéndolos</WORD>
<WORD coords="1827,3111,1949,3045,3090">por</WORD>
<WORD coords="2005,3094,2060,3039,3093">el</WORD>
<WORD coords="2100,3097,2335,3040,3094">divisor</WORD>
<WORD coords="2388,3105,2600,3062,3100">común</WORD>
</LINE>
<LINE>
<WORD coords="230,3168,490,3120,3165">cuantas</WORD>
<WORD coords="544,3171,706,3132,3170">veces</WORD>
<WORD coords="756,3174,822,3137,3174">se</WORD>
<WORD coords="860,3197,1059,3125,3178">pueda</WORD>
<WORD coords="1089,3192,1102,3168,3192">,</WORD>
<WORD coords="1127,3207,1177,3146,3205">y</WORD>
<WORD coords="1230,3203,1498,3133,3186">ejecutar</WORD>
<WORD coords="1541,3212,1789,3134,3189">después</WORD>
<WORD coords="1848,3198,1907,3144,3197">la</WORD>
<WORD coords="1963,3207,2227,3143,3200">división</WORD>
<WORD coords="2347,3211,2462,3154,3211">A,i</WORD>
<WORD coords="2500,3225,2514,3200,3218">,</WORD>
<WORD coords="2548,3211,2599,3150,3208">si</WORD>
</LINE>
<LINE>
<WORD coords="235,3304,453,3215,3269">quiero</WORD>
<WORD coords="485,3283,718,3219,3277">dividir</WORD>
<WORD coords="747,3306,1002,3233,3284">2iOpor</WORD>
<WORD coords="1033,3294,1143,3240,3292">135</WORD>
<WORD coords="1179,3308,1195,3281,3303">,</WORD>
<WORD coords="1225,3299,1489,3238,3295">obseno</WORD>
<WORD coords="1521,3317,1638,3262,3298">que</WORD>
<WORD coords="1672,3301,1726,3246,3299">el</WORD>
<WORD coords="1770,3308,2109,3246,3304">dividendo</WORD>
<WORD coords="2143,3330,2181,3274,3322">y</WORD>
<WORD coords="2216,3315,2453,3256,3312">divisor</WORD>
<WORD coords="2487,3318,2512,3284,3318">s</WORD>
<WORD coords="2563,3324,2593,3287,3322">ti</WORD>
</LINE>
<LINE>
<WORD coords="233,3419,556,3321,3379">^visibles</WORD>
<WORD coords="609,3405,721,3348,3387">p,,r</WORD>
<WORD coords="773,3389,808,3343,3395">5</WORD>
<WORD coords="842,3405,858,3379,3405">,</WORD>
<WORD coords="893,3410,1002,3356,3393">por</WORD>
<WORD coords="1054,3401,1350,3344,3399">terminar</WORD>
<WORD coords="1396,3405,1452,3350,3404">el</WORD>
<WORD coords="1507,3406,1627,3369,3405">uno</WORD>
<WORD coords="1686,3409,1756,3374,3408">en</WORD>
<WORD coords="1789,3431,1893,3361,3410">Oy</WORD>
<WORD coords="1950,3415,2004,3362,3414">el</WORD>
<WORD coords="2050,3420,2188,3377,3417">otro</WORD>
<WORD coords="2240,3424,2313,3388,3423">en</WORD>
<WORD coords="2347,3446,2588,3375,3432">5(?9^</WORD>
</LINE>
<LINE>
<WORD coords="235,3523,386,3444,3485">|ues</WORD>
<WORD coords="449,3490,540,3434,3489">los</WORD>
<WORD coords="590,3497,809,3437,3494">divido</WORD>
<WORD coords="856,3517,972,3463,3500">por</WORD>
<WORD coords="1030,3519,1111,3454,3515">5,</WORD>
<WORD coords="1162,3529,1206,3469,3529">y</WORD>
<WORD coords="1247,3533,1433,3464,3510">teng;o</WORD>
<WORD coords="1481,3525,1599,3458,3511">los.</WORD>
<WORD coords="1622,3520,1856,3479,3517">nuevos</WORD>
<WORD coords="1911,3529,2209,3469,3524">términos</WORD>
<WORD coords="2264,3535,2343,3484,3535">42</WORD>
<WORD coords="2392,3556,2431,3502,3548">y</WORD>
<WORD coords="2492,3540,2590,3490,3539">27:</WORD>
</LINE>
<LINE>
<WORD coords="234,3593,399,3549,3591">estos</WORD>
<WORD coords="454,3598,562,3538,3597">dos</WORD>
<WORD coords="633,3607,925,3563,3604">números</WORD>
<WORD coords="1006,3616,1280,3557,3612">también</WORD>
<WORD coords="1349,3621,1632,3563,3618">advierto</WORD>
<WORD coords="1686,3642,1804,3588,3626">que</WORD>
<WORD coords="1874,3628,1982,3591,3627">son</WORD>
<WORD coords="2030,3638,2260,3577,3632">divisib</WORD>
<WORD coords="2407,3657,2514,3607,3640">por</WORD>
<WORD coords="2560,3645,2591,3597,3645">3</WORD>
</LINE>
<LINE>
<WORD coords="201,3763,271,3628,3763">Jj¡</WORD>
<WORD coords="311,3702,384,3647,3709">78</WORD>
<WORD coords="427,3717,462,3649,3722">)</WORD>
<WORD coords="502,3716,519,3689,3721">,</WORD>
<WORD coords="582,3723,690,3666,3704">por</WORD>
<WORD coords="735,3728,920,3655,3711">quien</WORD>
<WORD coords="982,3717,1070,3661,3715">los</WORD>
<WORD coords="1117,3721,1334,3664,3719">divido</WORD>
<WORD coords="1379,3745,1420,3688,3736">y</WORD>
<WORD coords="1468,3726,1563,3689,3725">me</WORD>
<WORD coords="1606,3735,1875,3688,3730">resu-taa</WORD>
<WORD coords="1937,3736,2028,3682,3734">los</WORD>
<WORD coords="2087,3745,2320,3704,3741">nuevos</WORD>
<WORD coords="2380,3754,2597,3697,3752">termi-</WORD>
</LINE>
<LINE>
<WORD coords="206,3817,336,3762,3807">.IVos</WORD>
<WORD coords="400,3810,473,3759,3817">14</WORD>
<WORD coords="565,3832,603,3775,3832">y</WORD>
<WORD coords="679,3814,715,3763,3828">9</WORD>
<WORD coords="784,3827,1081,3770,3821">términos</WORD>
<WORD coords="1157,3829,1285,3793,3828">mas</WORD>
<WORD coords="1372,3847,1630,3782,3832">simples,</WORD>
<WORD coords="1695,3855,1815,3800,3842">que</WORD>
<WORD coords="1874,3841,1962,3787,3838">los</WORD>
<WORD coords="2011,3855,2372,3790,3846">primitivos.</WORD>
<WORD coords="2498,3856,2586,3802,3855">De</WORD>
</LINE>
<LINE>
<WORD coords="203,3955,361,3838,3954">Üé</WORD>
<WORD coords="362,3922,426,3859,3920">10</WORD>
<WORD coords="495,3941,535,3883,3941">S</WORD>
<WORD coords="542,3924,614,3884,3923">ue</WORD>
<WORD coords="700,3927,756,3871,3926">el</WORD>
<WORD coords="838,3936,1111,3876,3932">coütnte</WORD>
<WORD coords="1156,3940,1228,3887,3943">14</WORD>
<WORD coords="1286,3962,1401,3905,3942">que</WORD>
<WORD coords="1454,3950,1642,3887,3947">ahora</WORD>
<WORD coords="1674,3969,2059,3893,3952">obtenemos,</WORD>
<WORD coords="2095,3958,2160,3920,3958">e,</WORD>
<WORD coords="2198,3961,2421,3904,3959">mucho</WORD>
<WORD coords="2455,3961,2581,3923,3960">mas</WORD>
</LINE>
<LINE>
<WORD coords="1113,4050,1229,3957,4050">T</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1598,4156,1611,4115,4156">í</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0065.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0066.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0066.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1796,474,1938,386,473">56</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="711,535,733,499,535">9</WORD>
<WORD coords="1215,533,1238,507,533">f</WORD>
<WORD coords="1294,525,1309,512,525">*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="682,598,903,524,580">simple</WORD>
<WORD coords="981,606,1101,544,588">que</WORD>
<WORD coords="1152,593,1276,538,593">210</WORD>
<WORD coords="1308,608,1425,550,590">que</WORD>
<WORD coords="1475,595,1869,531,593">hubiéramos</WORD>
<WORD coords="1937,601,2229,539,598">obtenido</WORD>
<WORD coords="2284,603,2377,544,602">sin</WORD>
<WORD coords="2434,610,2620,547,608">hacer</WORD>
<WORD coords="2681,615,2738,555,614">la</WORD>
<WORD coords="2796,640,3038,558,619">simpli-</WORD>
</LINE>
<LINE>
<WORD coords="681,703,957,643,701">ficación.</WORD>
<WORD coords="1155,700,1268,648,698">135</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="929,807,981,758,810">3.</WORD>
<WORD coords="1014,790,1051,755,790">o</WORD>
<WORD coords="1159,820,1303,750,806">Que</WORD>
<WORD coords="1363,808,1591,751,807">cuando</WORD>
<WORD coords="1643,811,1728,750,809">los</WORD>
<WORD coords="1782,814,2069,757,812">términos</WORD>
<WORD coords="2103,817,2303,760,815">tienen</WORD>
<WORD coords="2335,841,2623,761,823">factores</WORD>
<WORD coords="2652,845,2671,815,838">,</WORD>
<WORD coords="2694,831,2761,791,830">se</WORD>
<WORD coords="2788,852,3031,778,834">podran</WORD>
</LINE>
<LINE>
<WORD coords="676,938,983,861,915">suprimir</WORD>
<WORD coords="1026,914,1099,876,914">en</WORD>
<WORD coords="1157,914,1306,858,913">cada</WORD>
<WORD coords="1356,914,1472,873,913">uno</WORD>
<WORD coords="1530,916,1620,860,915">¡os</WORD>
<WORD coords="1675,941,1787,874,916">que</WORD>
<WORD coords="1829,920,1976,879,918">sean</WORD>
<WORD coords="2031,936,2345,883,922">comunes;</WORD>
<WORD coords="2387,926,2459,890,924">*v.</WORD>
<WORD coords="2511,948,2567,893,936">g,</WORD>
<WORD coords="2625,934,2678,876,933">si</WORD>
<WORD coords="2723,958,2908,891,936">tengo</WORD>
<WORD coords="2967,944,3027,887,941">la</WORD>
</LINE>
<LINE>
<WORD coords="669,1025,949,966,1021">división</WORD>
<WORD coords="999,1022,1290,964,1020">indicada</WORD>
<WORD coords="1333,1022,1415,971,1024">84</WORD>
<WORD coords="1441,1039,1616,974,1029">:42,</WORD>
<WORD coords="1668,1043,1707,988,1043">y</WORD>
<WORD coords="1764,1049,2224,970,1026">descompongo</WORD>
<WORD coords="2279,1035,2621,974,1032">dividendo</WORD>
<WORD coords="2676,1060,2717,1003,1053">y</WORD>
<WORD coords="2791,1047,3034,986,1043">divisor</WORD>
</LINE>
<LINE>
<WORD coords="666,1131,748,1090,1129">en</WORD>
<WORD coords="806,1129,911,1092,1128">sus</WORD>
<WORD coords="969,1129,1237,1070,1127">factores</WORD>
<WORD coords="1324,1128,1541,1069,1127">tendré</WORD>
<WORD coords="1596,1130,1629,1077,1133">7</WORD>
<WORD coords="1657,1145,1728,1078,1145">X</WORD>
<WORD coords="1781,1148,1917,1080,1142">2^</WORD>
<WORD coords="1969,1156,2109,1080,1141">2^</WORD>
<WORD coords="2164,1133,2197,1085,1134">3</WORD>
<WORD coords="2227,1137,2239,1101,1137">:</WORD>
<WORD coords="2284,1138,2317,1086,1138">7</WORD>
<WORD coords="2356,1161,2423,1094,1161">X</WORD>
<WORD coords="2458,1141,2494,1093,1141">2</WORD>
<WORD coords="2527,1153,2592,1094,1153">X</WORD>
<WORD coords="2646,1160,2730,1094,1154">3;</WORD>
<WORD coords="2784,1168,2829,1103,1159">y</WORD>
<WORD coords="2886,1150,3028,1093,1149">bor-</WORD>
</LINE>
<LINE>
<WORD coords="671,1235,869,1180,1234">rando</WORD>
<WORD coords="934,1235,1008,1198,1235">en</WORD>
<WORD coords="1065,1238,1278,1178,1235">ambos</WORD>
<WORD coords="1342,1236,1642,1181,1235">términos</WORD>
<WORD coords="1700,1237,1790,1183,1236">los</WORD>
<WORD coords="1848,1241,2116,1181,1239">factores</WORD>
<WORD coords="2180,1246,2474,1204,1243">comunes</WORD>
<WORD coords="2525,1249,2560,1194,1249">7</WORD>
<WORD coords="2590,1260,2610,1234,1256">,</WORD>
<WORD coords="2651,1252,2688,1205,1252">2</WORD>
<WORD coords="2744,1274,2783,1216,1264">y</WORD>
<WORD coords="2831,1255,2864,1205,1255">3</WORD>
<WORD coords="2911,1258,3011,1219,1258">me</WORD>
</LINE>
<LINE>
<WORD coords="662,1344,963,1286,1341">resultara</WORD>
<WORD coords="1020,1343,1055,1295,1346">2</WORD>
<WORD coords="1081,1344,1093,1308,1346">:</WORD>
<WORD coords="1135,1344,1156,1298,1346">1</WORD>
<WORD coords="1331,1344,1364,1297,1346">2</WORD>
<WORD coords="1400,1358,1418,1331,1358">,</WORD>
<WORD coords="1470,1363,1587,1304,1344">que</WORD>
<WORD coords="1633,1345,1698,1308,1344">es</WORD>
<WORD coords="1753,1344,1809,1289,1343">el</WORD>
<WORD coords="1863,1348,2091,1293,1346">mismo</WORD>
<WORD coords="2161,1352,2437,1293,1349">cociente</WORD>
<WORD coords="2488,1373,2608,1306,1354">qúe</WORD>
<WORD coords="2662,1358,2726,1319,1357">se</WORD>
<WORD coords="2774,1363,3021,1304,1361">tendría</WORD>
</LINE>
<LINE>
<WORD coords="663,1450,1039,1392,1449">dividiendo</WORD>
<WORD coords="1086,1450,1178,1394,1449">los</WORD>
<WORD coords="1234,1451,1525,1413,1450">números</WORD>
<WORD coords="1573,1473,1947,1396,1451">primitivos.</WORD>
<WORD coords="2042,1456,2132,1398,1455">La</WORD>
<WORD coords="2197,1458,2389,1417,1456">razón</WORD>
<WORD coords="2435,1459,2512,1402,1459">de</WORD>
<WORD coords="2569,1463,2700,1415,1461">esta</WORD>
<WORD coords="2750,1485,3023,1413,1469">practica</WORD>
</LINE>
<LINE>
<WORD coords="665,1558,733,1518,1557">es</WORD>
<WORD coords="766,1574,784,1545,1574">,</WORD>
<WORD coords="842,1574,1076,1518,1555">porque</WORD>
<WORD coords="1127,1575,1424,1500,1556">suprimir</WORD>
<WORD coords="1463,1557,1537,1519,1557">en</WORD>
<WORD coords="1602,1560,1755,1504,1558">cada</WORD>
<WORD coords="1810,1561,2078,1505,1559">terminó</WORD>
<WORD coords="2132,1562,2213,1524,1562">un</WORD>
<WORD coords="2262,1565,2493,1508,1563">mismo</WORD>
<WORD coords="2554,1570,2753,1510,1566">factor</WORD>
<WORD coords="2786,1586,2805,1558,1586">,</WORD>
<WORD coords="2843,1594,3024,1520,1576">equi-</WORD>
</LINE>
<LINE>
<WORD coords="661,1665,800,1607,1663">vale</WORD>
<WORD coords="855,1662,885,1608,1666">á</WORD>
<WORD coords="956,1665,1254,1607,1664">dividirlo</WORD>
<WORD coords="1302,1686,1411,1627,1666">por</WORD>
<WORD coords="1457,1667,1512,1608,1665">el</WORD>
<WORD coords="1546,1670,1768,1610,1667">mismo</WORD>
<WORD coords="1800,1670,1998,1611,1668">factor</WORD>
<WORD coords="2030,1673,2046,1637,1672">:</WORD>
<WORD coords="2090,1669,2164,1630,1668">en</WORD>
<WORD coords="2212,1677,2412,1613,1671">efecto</WORD>
<WORD coords="2446,1687,2464,1658,1680">,</WORD>
<WORD coords="2506,1674,2557,1617,1673">si</WORD>
<WORD coords="2591,1685,2930,1622,1681">dividimos</WORD>
<WORD coords="2961,1690,3023,1631,1689">el</WORD>
</LINE>
<LINE>
<WORD coords="660,1772,863,1714,1770">factor</WORD>
<WORD coords="895,1770,929,1721,1774">3</WORD>
<WORD coords="990,1792,1099,1733,1771">por</WORD>
<WORD coords="1129,1773,1179,1717,1772">si</WORD>
<WORD coords="1213,1774,1437,1718,1772">mismo</WORD>
<WORD coords="1471,1776,1524,1718,1774">el</WORD>
<WORD coords="1552,1775,1827,1718,1773">cociente</WORD>
<WORD coords="1859,1776,1923,1738,1775">es</WORD>
<WORD coords="1974,1777,2001,1726,1777">1</WORD>
<WORD coords="2051,1795,2169,1738,1776">que</WORD>
<WORD coords="2200,1777,2260,1720,1776">lo</WORD>
<WORD coords="2292,1786,2679,1720,1781">deberíamos</WORD>
<WORD coords="2711,1806,2902,1750,1790">poner</WORD>
<WORD coords="2944,1795,3022,1754,1795">en</WORD>
</LINE>
<LINE>
<WORD coords="655,1880,787,1839,1879">vez</WORD>
<WORD coords="836,1879,938,1822,1878">del</WORD>
<WORD coords="996,1878,1027,1830,1882">3</WORD>
<WORD coords="1054,1894,1069,1845,1894">;</WORD>
<WORD coords="1112,1895,1257,1841,1879">pero</WORD>
<WORD coords="1316,1881,1497,1844,1880">como</WORD>
<WORD coords="1553,1882,1579,1832,1884">1</WORD>
<WORD coords="1626,1880,1691,1842,1880">es</WORD>
<WORD coords="1748,1883,1948,1826,1881">factor</WORD>
<WORD coords="2001,1884,2077,1828,1883">de</WORD>
<WORD coords="2132,1885,2281,1827,1884">todo</WORD>
<WORD coords="2326,1852,2344,1825,1852">4</WORD>
<WORD coords="2345,1889,2605,1839,1887">nutrfero</WORD>
<WORD coords="2637,1910,2656,1880,1907">,</WORD>
<WORD coords="2699,1904,3022,1841,1898">omitimos</WORD>
</LINE>
<LINE>
<WORD coords="658,1986,719,1931,1985">el</WORD>
<WORD coords="781,1985,1127,1928,1983">escribirlo.</WORD>
<WORD coords="1218,1987,1439,1927,1986">Ahora</WORD>
<WORD coords="1472,2002,1489,1975,1996">,</WORD>
<WORD coords="1527,1989,1815,1930,1987">dividido</WORD>
<WORD coords="1865,1991,1944,1952,1989">un</WORD>
<WORD coords="2001,1990,2200,1931,1988">factor</WORD>
<WORD coords="2258,2009,2369,1953,1991">por</WORD>
<WORD coords="2422,1994,2503,1956,1993">un</WORD>
<WORD coords="2546,2001,2806,1958,1998">numero</WORD>
<WORD coords="2851,2008,3019,1952,2006">cual-</WORD>
</LINE>
<LINE>
<WORD coords="657,2113,876,2035,2092">quiera</WORD>
<WORD coords="910,2108,926,2080,2103">,</WORD>
<WORD coords="967,2092,1027,2037,2091">lo</WORD>
<WORD coords="1075,2113,1278,2038,2094">queda</WORD>
<WORD coords="1330,2097,1602,2038,2095">también</WORD>
<WORD coords="1641,2097,1697,2040,2096">el</WORD>
<WORD coords="1744,2114,2048,2039,2097">producto</WORD>
<WORD coords="2114,2123,2139,2044,2111">[</WORD>
<WORD coords="2176,2098,2249,2046,2098">93</WORD>
<WORD coords="2297,2120,2324,2043,2118">]</WORD>
<WORD coords="2356,2116,2372,2066,2116">;</WORD>
<WORD coords="2410,2124,2593,2044,2101">luego</WORD>
<WORD coords="2624,2107,2681,2051,2106">el</WORD>
<WORD coords="2725,2117,3018,2054,2112">dividen-</WORD>
</LINE>
<LINE>
<WORD coords="659,2199,745,2142,2199">do</WORD>
<WORD coords="808,2201,886,2149,2202">84</WORD>
<WORD coords="937,2218,1140,2144,2200">queda</WORD>
<WORD coords="1196,2202,1485,2145,2201">dividido</WORD>
<WORD coords="1533,2221,1644,2163,2203">por</WORD>
<WORD coords="1698,2220,1779,2153,2214">3,</WORD>
<WORD coords="1834,2224,1875,2167,2215">y</WORD>
<WORD coords="1912,2205,2096,2167,2204">como</WORD>
<WORD coords="2159,2205,2216,2149,2204">lo</WORD>
<WORD coords="2269,2207,2495,2150,2205">mismo</WORD>
<WORD coords="2547,2216,2762,2152,2212">hemos</WORD>
<WORD coords="2819,2226,3021,2161,2221">hecho</WORD>
</LINE>
<LINE>
<WORD coords="657,2309,776,2270,2307">con</WORD>
<WORD coords="830,2309,885,2254,2308">el</WORD>
<WORD coords="945,2311,1184,2252,2309">divisor</WORD>
<WORD coords="1226,2311,1305,2258,2311">42</WORD>
<WORD coords="1341,2326,1359,2297,2320">,</WORD>
<WORD coords="1386,2312,1615,2255,2310">resulta</WORD>
<WORD coords="1672,2331,1791,2275,2313">que</WORD>
<WORD coords="1847,2314,1975,2267,2313">este</WORD>
<WORD coords="2027,2314,2299,2255,2313">también</WORD>
<WORD coords="2351,2314,2415,2276,2313">se</WORD>
<WORD coords="2466,2315,2544,2255,2314">ha</WORD>
<WORD coords="2588,2325,2876,2257,2320">dividido</WORD>
<WORD coords="2909,2342,3023,2292,2333">por</WORD>
</LINE>
<LINE>
<WORD coords="658,2418,718,2366,2418">3.</WORD>
<WORD coords="815,2417,892,2361,2417">El</WORD>
<WORD coords="952,2420,1180,2362,2419">mismo</WORD>
<WORD coords="1240,2419,1706,2363,2417">razonamiento</WORD>
<WORD coords="1763,2421,2052,2362,2419">haremos</WORD>
<WORD coords="2123,2421,2337,2379,2419">acerca</WORD>
<WORD coords="2380,2421,2458,2363,2420">de</WORD>
<WORD coords="2511,2421,2605,2363,2420">los</WORD>
<WORD coords="2658,2429,2826,2380,2426">clros</WORD>
<WORD coords="2891,2436,3023,2375,2434">fac-</WORD>
</LINE>
<LINE>
<WORD coords="650,2530,827,2481,2527">tores</WORD>
<WORD coords="886,2531,1180,2489,2528">comunes</WORD>
<WORD coords="1217,2529,1250,2476,2529">7</WORD>
<WORD coords="1281,2548,1321,2486,2539">y</WORD>
<WORD coords="1368,2529,1403,2480,2529">2</WORD>
<WORD coords="1433,2540,1449,2515,2535">,</WORD>
<WORD coords="1494,2527,1572,2471,2526">de</WORD>
<WORD coords="1632,2529,1836,2473,2527">donde</WORD>
<WORD coords="1890,2531,2121,2474,2529">resulta</WORD>
<WORD coords="2179,2530,2360,2488,2529">como</WORD>
<WORD coords="2405,2551,2573,2472,2528">regla</WORD>
<WORD coords="2619,2552,2863,2481,2534">general</WORD>
<WORD coords="2898,2557,3021,2502,2542">que</WORD>
</LINE>
<LINE>
<WORD coords="664,2641,727,2584,2639">el</WORD>
<WORD coords="780,2639,1045,2582,2636">cociente</WORD>
<WORD coords="1104,2639,1180,2599,2639">no</WORD>
<WORD coords="1243,2634,1309,2598,2634">se</WORD>
<WORD coords="1350,2637,1549,2581,2636">altera</WORD>
<WORD coords="1575,2654,1590,2623,2654">,</WORD>
<WORD coords="1632,2659,2047,2578,2637">suprimiendo</WORD>
<WORD coords="2075,2662,2367,2579,2640">factores</WORD>
<WORD coords="2412,2639,2687,2596,2637">comunts</WORD>
<WORD coords="2740,2642,2813,2602,2641">en</WORD>
<WORD coords="2866,2650,3020,2589,2646">cada</WORD>
</LINE>
<LINE>
<WORD coords="670,2752,931,2692,2748">termino</WORD>
<WORD coords="977,2746,1048,2692,2746">de</WORD>
<WORD coords="1102,2746,1160,2690,2746">la</WORD>
<WORD coords="1210,2749,1496,2688,2744">división*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="740,2854,842,2801,2853">99.</WORD>
<WORD coords="940,2855,1056,2797,2853">Cor</WORD>
<WORD coords="1063,2856,1139,2797,2855">oh</WORD>
<WORD coords="1193,2855,1457,2790,2852">Cuando</WORD>
<WORD coords="1487,2854,1549,2797,2854">al</WORD>
<WORD coords="1602,2873,1878,2797,2853">ejecutar</WORD>
<WORD coords="1935,2856,2024,2797,2854">las</WORD>
<WORD coords="2053,2858,2396,2795,2856">divisiones</WORD>
<WORD coords="2431,2858,2530,2799,2857">del</WORD>
<WORD coords="2573,2871,2818,2796,2852">párrafo</WORD>
<WORD coords="2848,2880,3039,2800,2879">f93}/</WORD>
</LINE>
<LINE>
<WORD coords="652,2984,770,2922,2962">por</WORD>
<WORD coords="835,2961,926,2904,2961">los</WORD>
<WORD coords="974,2959,1241,2902,2958">factores</WORD>
<WORD coords="1295,2960,1397,2903,2959">del</WORD>
<WORD coords="1452,2960,1693,2903,2958">divisor</WORD>
<WORD coords="1722,2977,1739,2950,2977">,</WORD>
<WORD coords="1795,2982,1947,2903,2960">haya</WORD>
<WORD coords="2016,2963,2177,2918,2962">resta</WORD>
<WORD coords="2207,2979,2224,2951,2971">,</WORD>
<WORD coords="2267,2964,2349,2926,2963">no</WORD>
<WORD coords="2394,2965,2457,2929,2965">se</WORD>
<WORD coords="2519,2965,2663,2907,2964">hará</WORD>
<WORD coords="2731,2966,2873,2927,2965">caso</WORD>
<WORD coords="2929,2970,3008,2911,2968">de</WORD>
</LINE>
<LINE>
<WORD coords="655,3070,779,3013,3068">ella</WORD>
<WORD coords="837,3067,1020,3009,3066">hasta</WORD>
<WORD coords="1063,3068,1256,3010,3067">haber</WORD>
<WORD coords="1301,3068,1681,3011,3066">encontrado</WORD>
<WORD coords="1724,3067,1779,3012,3066">el</WORD>
<WORD coords="1815,3070,2090,3014,3067">cociente</WORD>
<WORD coords="2138,3070,2278,3013,3069">ñnal</WORD>
<WORD coords="2330,3075,2347,3038,3075">:</WORD>
<WORD coords="2392,3092,2653,3017,3071">después</WORD>
<WORD coords="2706,3091,2873,3025,3070">para</WORD>
<WORD coords="2910,3071,3013,3032,3070">en-</WORD>
</LINE>
<LINE>
<WORD coords="651,3177,909,3128,3175">contrar</WORD>
<WORD coords="963,3175,1022,3119,3175">la</WORD>
<WORD coords="1087,3174,1253,3127,3172">resta</WORD>
<WORD coords="1305,3174,1460,3117,3173">total</WORD>
<WORD coords="1487,3189,1504,3162,3183">,</WORD>
<WORD coords="1551,3175,1615,3137,3174">se</WORD>
<WORD coords="1670,3195,2105,3117,3173">multilplicara</WORD>
<WORD coords="2161,3176,2221,3120,3175">la</WORD>
<WORD coords="2278,3180,2491,3123,3177">última</WORD>
<WORD coords="2538,3184,2703,3137,3181">resta</WORD>
<WORD coords="2759,3204,2878,3137,3182">por</WORD>
<WORD coords="2942,3185,3003,3124,3185">él</WORD>
</LINE>
<LINE>
<WORD coords="654,3285,897,3226,3282">divisor</WORD>
<WORD coords="936,3303,1292,3224,3280">precedente</WORD>
<WORD coords="1350,3301,1390,3243,3293">y</WORD>
<WORD coords="1443,3283,1479,3246,3283">a</WORD>
<WORD coords="1533,3284,1658,3236,3283">este</WORD>
<WORD coords="1707,3305,2004,3227,3282">producto</WORD>
<WORD coords="2052,3283,2116,3247,3282">se</WORD>
<WORD coords="2164,3288,2431,3226,3285">añadirá</WORD>
<WORD coords="2503,3287,2561,3232,3287">la</WORD>
<WORD coords="2612,3296,2778,3248,3295">resta</WORD>
<WORD coords="2832,3292,3002,3244,3291">ante-</WORD>
</LINE>
<LINE>
<WORD coords="652,3397,898,3338,3394">cedente</WORD>
<WORD coords="950,3392,1006,3339,3392">si</WORD>
<WORD coords="1085,3395,1142,3338,3394">la</WORD>
<WORD coords="1215,3413,1338,3335,3392">hay</WORD>
<WORD coords="1371,3406,1386,3361,3406">;</WORD>
<WORD coords="1438,3416,1622,3339,3395">luego</WORD>
<WORD coords="1667,3396,1793,3349,3393">esta</WORD>
<WORD coords="1837,3394,2014,3353,3392">suma</WORD>
<WORD coords="2074,3393,2137,3358,3393">se</WORD>
<WORD coords="2212,3414,2631,3340,3396">multiplicará</WORD>
<WORD coords="2667,3418,2774,3360,3401">por</WORD>
<WORD coords="2818,3401,2872,3349,3400">el</WORD>
<WORD coords="2906,3401,3002,3344,3401">di-</WORD>
</LINE>
<LINE>
<WORD coords="651,3502,826,3445,3501">visor</WORD>
<WORD coords="871,3501,1271,3445,3500">antecedente</WORD>
<WORD coords="1344,3520,1384,3464,3512">y</WORD>
<WORD coords="1446,3502,1501,3446,3501">al</WORD>
<WORD coords="1560,3521,1863,3448,3503">producto</WORD>
<WORD coords="1918,3501,1983,3461,3501">se</WORD>
<WORD coords="2031,3504,2288,3446,3502">añadirá</WORD>
<WORD coords="2337,3506,2392,3451,3505">la</WORD>
<WORD coords="2426,3508,2587,3464,3506">resta</WORD>
<WORD coords="2639,3512,3004,3452,3508">anteceden-</WORD>
</LINE>
<LINE>
<WORD coords="645,3609,712,3562,3609">te</WORD>
<WORD coords="756,3629,798,3571,3619">y</WORD>
<WORD coords="857,3610,948,3553,3609">así</WORD>
<WORD coords="982,3609,1496,3552,3608">sucesivamente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="898,3738,1192,3659,3714">Ejemplo,</WORD>
<WORD coords="1288,3716,1589,3658,3714">Divídase</WORD>
<WORD coords="1648,3719,1728,3666,3718">87</WORD>
<WORD coords="1799,3738,1912,3679,3719">por</WORD>
<WORD coords="1971,3717,2047,3667,3717">30</WORD>
<WORD coords="2077,3732,2091,3686,3732">;</WORD>
<WORD coords="2148,3744,2609,3663,3721">descompongo</WORD>
<WORD coords="2665,3726,2721,3669,3725">el</WORD>
<WORD coords="2797,3723,2876,3674,3723">30</WORD>
<WORD coords="2926,3724,3004,3685,3724">en</WORD>
</LINE>
<LINE>
<WORD coords="647,3829,759,3787,3826">aus</WORD>
<WORD coords="820,3825,1088,3766,3823">factores</WORD>
<WORD coords="1144,3823,1178,3776,3824">5</WORD>
<WORD coords="1216,3842,1282,3775,3842">X</WORD>
<WORD coords="1334,3822,1366,3774,3824">3</WORD>
<WORD coords="1397,3839,1466,3781,3834">&gt;&lt;</WORD>
<WORD coords="1526,3824,1560,3776,3825">2</WORD>
<WORD coords="1595,3839,1608,3792,3833">;</WORD>
<WORD coords="1668,3828,1886,3771,3826">divido</WORD>
<WORD coords="1928,3827,2004,3773,3826">87</WORD>
<WORD coords="2055,3851,2166,3790,3827">por</WORD>
<WORD coords="2223,3828,2277,3774,3827">el</WORD>
<WORD coords="2338,3848,2556,3766,3829">primir</WORD>
<WORD coords="2622,3831,2818,3771,3829">factor</WORD>
<WORD coords="2875,3827,2908,3780,3827">5</WORD>
<WORD coords="2966,3850,3010,3794,3850">y</WORD>
</LINE>
<LINE>
<WORD coords="653,3956,842,3885,3933">tengo</WORD>
<WORD coords="893,3934,971,3876,3933">de</WORD>
<WORD coords="1020,3935,1298,3875,3933">cociente</WORD>
<WORD coords="1350,3959,1649,3876,3938">17-^-2;</WORD>
<WORD coords="1693,3938,1821,3889,3937">este</WORD>
<WORD coords="1874,3938,2133,3897,3936">numero</WORD>
<WORD coords="2198,3937,2273,3879,3937">17</WORD>
<WORD coords="2332,3940,2550,3880,3938">divido</WORD>
<WORD coords="2599,3959,2712,3900,3939">por</WORD>
<WORD coords="2766,3938,2825,3879,3937">el</WORD>
<WORD coords="2869,3940,3013,3889,3937">otra</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0066.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0067.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0067.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1388,568,1528,476,568">57</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="272,697,475,636,693">fhctor</WORD>
<WORD coords="530,693,565,640,693">3</WORD>
<WORD coords="599,708,615,682,701">,</WORD>
<WORD coords="656,694,718,635,693">lo</WORD>
<WORD coords="762,712,885,653,694">que</WORD>
<WORD coords="941,692,1041,651,692">me</WORD>
<WORD coords="1098,690,1174,631,690">da</WORD>
<WORD coords="1239,688,1271,638,689">5</WORD>
<WORD coords="1431,690,1466,641,690">2</WORD>
<WORD coords="1501,689,1515,656,689">:</WORD>
<WORD coords="1564,688,1617,633,688">el</WORD>
<WORD coords="1679,688,1714,639,689">5</WORD>
<WORD coords="1744,689,1962,630,688">divido</WORD>
<WORD coords="2004,704,2115,651,689">por</WORD>
<WORD coords="2138,690,2213,635,690">-el</WORD>
<WORD coords="2268,719,2488,633,695">piorno</WORD>
<WORD coords="2508,689,2640,624,686">fac*</WORD>
</LINE>
<LINE>
<WORD coords="272,802,372,754,801">tor</WORD>
<WORD coords="425,801,459,753,801">2</WORD>
<WORD coords="505,820,544,763,810">y</WORD>
<WORD coords="597,800,661,764,799">es</WORD>
<WORD coords="712,800,769,745,799">el</WORD>
<WORD coords="825,799,1098,743,798">cociente</WORD>
<WORD coords="1157,797,1191,750,792">2</WORD>
<WORD coords="1221,820,1302,741,800">-|~</WORD>
<WORD coords="1338,796,1363,747,796">1</WORD>
<WORD coords="1448,810,1621,741,796">Aquí</WORD>
<WORD coords="1682,794,1737,740,793">el</WORD>
<WORD coords="1786,798,2069,742,796">cociente</WORD>
<WORD coords="2127,800,2267,740,797">final</WORD>
<WORD coords="2307,798,2370,763,797">es</WORD>
<WORD coords="2425,795,2459,748,796">2</WORD>
<WORD coords="2493,807,2508,783,807">,</WORD>
<WORD coords="2541,811,2642,753,790">pe-</WORD>
</LINE>
<LINE>
<WORD coords="280,912,357,869,909">lo</WORD>
<WORD coords="412,908,488,873,908">no</WORD>
<WORD coords="554,910,841,853,908">sabemos</WORD>
<WORD coords="887,907,941,869,906">ra</WORD>
<WORD coords="995,907,1155,860,905">resta</WORD>
<WORD coords="1193,906,1345,851,903">tota)</WORD>
<WORD coords="1386,921,1403,871,920">;</WORD>
<WORD coords="1451,919,1590,866,900">para</WORD>
<WORD coords="1638,920,1912,848,903">sacarla,</WORD>
<WORD coords="2003,903,2053,850,903">la</WORD>
<WORD coords="2110,909,2332,849,905">ultima</WORD>
<WORD coords="2384,902,2544,859,900">resta</WORD>
<WORD coords="2615,899,2647,847,899">1</WORD>
</LINE>
<LINE>
<WORD coords="283,1032,632,960,1016">multiplico</WORD>
<WORD coords="693,1033,800,980,1014">por</WORD>
<WORD coords="830,1015,884,961,1014">el</WORD>
<WORD coords="916,1014,1154,957,1012">divisor</WORD>
<WORD coords="1211,1010,1612,955,1008">antecedente</WORD>
<WORD coords="1640,1009,1673,960,1010">3</WORD>
<WORD coords="1703,1030,1743,974,1021">y</WORD>
<WORD coords="1789,1012,1846,955,1010">al</WORD>
<WORD coords="1892,1030,2197,955,1009">producto</WORD>
<WORD coords="2257,1012,2289,965,1012">3</WORD>
<WORD coords="2353,1019,2548,952,1006">apado</WORD>
<WORD coords="2600,1005,2656,951,1003">la</WORD>
</LINE>
<LINE>
<WORD coords="288,1128,454,1083,1126">resta</WORD>
<WORD coords="513,1126,782,1070,1125">anterior</WORD>
<WORD coords="839,1125,876,1076,1123">2</WORD>
<WORD coords="941,1122,1054,1085,1121">con</WORD>
<WORD coords="1107,1121,1166,1067,1120">lo</WORD>
<WORD coords="1206,1138,1324,1084,1121">que</WORD>
<WORD coords="1377,1142,1563,1076,1117">tengo</WORD>
<WORD coords="1612,1119,1645,1074,1119">5</WORD>
<WORD coords="1682,1134,1697,1085,1127">;</WORD>
<WORD coords="1754,1121,1881,1078,1120">este</WORD>
<WORD coords="1929,1119,1964,1073,1119">5</WORD>
<WORD coords="2023,1136,2367,1064,1119">multiplico</WORD>
<WORD coords="2420,1133,2528,1076,1113">por</WORD>
<WORD coords="2593,1109,2658,1053,1108">el</WORD>
</LINE>
<LINE>
<WORD coords="290,1234,535,1176,1233">divisor</WORD>
<WORD coords="594,1233,863,1175,1231">anterior</WORD>
<WORD coords="916,1231,951,1182,1231">5</WORD>
<WORD coords="1009,1250,1048,1192,1239">y</WORD>
<WORD coords="1109,1228,1163,1172,1227">al</WORD>
<WORD coords="1219,1247,1522,1174,1228">producto</WORD>
<WORD coords="1573,1229,1648,1180,1228">25</WORD>
<WORD coords="1698,1228,1901,1171,1227">añado</WORD>
<WORD coords="1962,1227,2019,1171,1227">la</WORD>
<WORD coords="2080,1227,2238,1182,1226">resta</WORD>
<WORD coords="2283,1224,2549,1163,1219">anterior</WORD>
<WORD coords="2590,1235,2653,1166,1225">2|</WORD>
</LINE>
<LINE>
<WORD coords="290,1346,353,1286,1346">k&gt;</WORD>
<WORD coords="377,1330,383,1320,1332">•</WORD>
<WORD coords="430,1359,549,1307,1343">que</WORD>
<WORD coords="608,1341,681,1286,1340">da</WORD>
<WORD coords="738,1341,815,1288,1340">27</WORD>
<WORD coords="866,1353,972,1301,1337">por</WORD>
<WORD coords="1040,1338,1200,1292,1336">resta</WORD>
<WORD coords="1273,1335,1420,1279,1334">total</WORD>
<WORD coords="1455,1349,1470,1322,1349">,</WORD>
<WORD coords="1553,1358,1775,1280,1335">debajo</WORD>
<WORD coords="1823,1337,1899,1280,1336">de</WORD>
<WORD coords="1958,1336,2016,1277,1334">la</WORD>
<WORD coords="2071,1336,2204,1282,1335">cual</WORD>
<WORD coords="2278,1351,2508,1276,1330">pondré</WORD>
<WORD coords="2564,1323,2658,1278,1322">to-</WORD>
</LINE>
<LINE>
<WORD coords="292,1460,378,1394,1458">do</WORD>
<WORD coords="436,1453,494,1395,1453">el</WORD>
<WORD coords="546,1452,783,1394,1449">divisor</WORD>
<WORD coords="836,1465,954,1397,1456">30,</WORD>
<WORD coords="1008,1468,1052,1409,1457">y</WORD>
<WORD coords="1090,1447,1228,1406,1446">sera</WORD>
<WORD coords="1274,1446,1333,1388,1445">el</WORD>
<WORD coords="1419,1446,1696,1400,1444">cociente</WORD>
<WORD coords="1761,1445,1799,1395,1446">2</WORD>
<WORD coords="1872,1446,2002,1405,1445">mas</WORD>
<WORD coords="2133,1448,2245,1394,1445">27.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2134,1551,2234,1471,1531">*30</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="545,1670,639,1613,1670">La</WORD>
<WORD coords="698,1669,891,1628,1668">razón</WORD>
<WORD coords="965,1667,1042,1610,1667">de</WORD>
<WORD coords="1101,1666,1233,1618,1666">esta</WORD>
<WORD coords="1294,1684,1563,1609,1666">practica</WORD>
<WORD coords="1626,1668,1690,1630,1668">es</WORD>
<WORD coords="1721,1687,1743,1651,1685">,</WORD>
<WORD coords="1788,1684,1907,1625,1664">que</WORD>
<WORD coords="1968,1662,2147,1624,1661">como</WORD>
<WORD coords="2194,1662,2250,1606,1661">la</WORD>
<WORD coords="2498,1655,2667,1604,1652">resta</WORD>
</LINE>
<LINE>
<WORD coords="292,1783,332,1729,1781">2</WORD>
<WORD coords="392,1779,456,1741,1779">*e</WORD>
<WORD coords="516,1777,671,1720,1776">debe</WORD>
<WORD coords="734,1781,969,1718,1775">dividir</WORD>
<WORD coords="1033,1794,1143,1736,1774">por</WORD>
<WORD coords="1208,1775,1242,1726,1775">5</WORD>
<WORD coords="1282,1796,1351,1723,1785">^</WORD>
<WORD coords="1408,1775,1440,1725,1775">3</WORD>
<WORD coords="1475,1795,1544,1723,1795">X</WORD>
<WORD coords="1599,1776,1634,1728,1776">2</WORD>
<WORD coords="1674,1790,1689,1761,1781">,</WORD>
<WORD coords="1745,1773,1797,1719,1772">la</WORD>
<WORD coords="1860,1792,2138,1712,1769">segunda</WORD>
<WORD coords="2184,1770,2220,1720,1771">2</WORD>
<WORD coords="2283,1786,2390,1726,1762">por</WORD>
<WORD coords="2437,1775,2572,1710,1769">3^</WORD>
<WORD coords="2625,1761,2662,1711,1761">2</WORD>
</LINE>
<LINE>
<WORD coords="282,1910,338,1841,1897">y</WORD>
<WORD coords="396,1884,452,1831,1883">la</WORD>
<WORD coords="506,1884,740,1839,1882">tercera</WORD>
<WORD coords="800,1883,825,1832,1883">1</WORD>
<WORD coords="888,1885,951,1846,1883">se</WORD>
<WORD coords="1026,1883,1105,1825,1881">ha</WORD>
<WORD coords="1136,1883,1213,1828,1883">de</WORD>
<WORD coords="1275,1902,1462,1828,1884">partir</WORD>
<WORD coords="1522,1900,1631,1845,1882">por</WORD>
<WORD coords="1678,1882,1712,1834,1882">2</WORD>
<WORD coords="1745,1895,1760,1868,1887">,</WORD>
<WORD coords="1813,1879,1863,1836,1878">st</WORD>
<WORD coords="1923,1898,2147,1821,1875">dtbajo</WORD>
<WORD coords="2215,1874,2291,1817,1873">de</WORD>
<WORD coords="2335,1871,2487,1812,1869">cada</WORD>
<WORD coords="2545,1869,2669,1828,1868">una</WORD>
</LINE>
<LINE>
<WORD coords="287,2013,341,1952,1999">jp.</WORD>
<WORD coords="374,1991,586,1953,1990">nemos</WORD>
<WORD coords="672,1988,776,1952,1987">sus</WORD>
<WORD coords="846,1997,1227,1933,1987">respectivos</WORD>
<WORD coords="1283,1990,1591,1934,1988">divisores</WORD>
<WORD coords="1632,2006,1673,1950,1997">y</WORD>
<WORD coords="1718,1988,2033,1948,1985">sumamos</WORD>
<WORD coords="2084,1982,2254,1935,1981">estos</WORD>
<WORD coords="2314,1980,2652,1921,1975">cocientes»</WORD>
</LINE>
<LINE>
<WORD coords="283,2100,652,2040,2095">•tendremos</WORD>
<WORD coords="707,2094,761,2037,2092">la</WORD>
<WORD coords="809,2094,1159,2037,2092">indicación</WORD>
<WORD coords="1207,2115,1513,2038,2094">siguiente</WORD>
<WORD coords="1545,2095,1562,2058,2095">:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="458,2202,678,2143,2199">Ahora</WORD>
<WORD coords="709,2215,726,2187,2207">,</WORD>
<WORD coords="763,2198,814,2142,2197">si</WORD>
<WORD coords="876,2216,1356,2142,2197">multiplicamos</WORD>
<WORD coords="1390,2200,1482,2144,2199">los</WORD>
<WORD coords="1732,2200,1770,2153,2199">2</WORD>
<WORD coords="2210,2197,2249,2150,2198">2</WORD>
<WORD coords="2594,2196,2625,2141,2196">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="286,2308,402,2251,2305">dos</WORD>
<WORD coords="455,2306,755,2251,2303">términos</WORD>
<WORD coords="817,2304,896,2248,2304">de</WORD>
<WORD coords="960,2305,1014,2249,2304">la</WORD>
<WORD coords="1069,2306,1344,2247,2304">división</WORD>
<WORD coords="1401,2307,1493,2250,2306">in-</WORD>
<WORD coords="1785,2300,1810,2277,2300">&gt;u</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="275,2414,507,2355,2411">dicada</WORD>
<WORD coords="581,2410,610,2361,2412">1</WORD>
<WORD coords="673,2429,782,2374,2411">por</WORD>
<WORD coords="832,2410,867,2360,2419">3</WORD>
<WORD coords="895,2428,913,2398,2413">,</WORD>
<WORD coords="965,2412,1045,2373,2411">no</WORD>
<WORD coords="1094,2413,1158,2374,2412">se</WORD>
<WORD coords="1215,2416,1476,2355,2413">alterara</WORD>
<WORD coords="1631,2414,1667,2364,2414">5</WORD>
<WORD coords="1694,2436,1765,2367,2426">^</WORD>
<WORD coords="1798,2416,1826,2367,2416">3</WORD>
<WORD coords="1858,2437,1923,2371,2426">^</WORD>
<WORD coords="1956,2416,1991,2367,2415">2</WORD>
<WORD coords="2191,2414,2225,2366,2414">3</WORD>
<WORD coords="2256,2434,2324,2363,2434">X</WORD>
<WORD coords="2356,2414,2390,2366,2414">2</WORD>
<WORD coords="2591,2416,2629,2366,2416">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="265,2520,298,2468,2520">j</WORD>
<WORD coords="389,2505,414,2496,2511">•■</WORD>
<WORD coords="441,2520,453,2488,2520">i</WORD>
<WORD coords="512,2518,531,2490,2511">,-</WORD>
<WORD coords="559,2518,604,2439,2518">i</WORD>
<WORD coords="604,2450,624,2437,2450">-</WORD>
<WORD coords="718,2523,727,2507,2521">,</WORD>
<WORD coords="1350,2529,1353,2526,2527">,</WORD>
<WORD coords="1392,2525,1399,2517,2525">.</WORD>
<WORD coords="1433,2526,1439,2521,2522">.</WORD>
<WORD coords="1906,2522,1946,2497,2518">,,</WORD>
<WORD coords="2000,2512,2042,2444,2515">1*</WORD>
<WORD coords="2105,2522,2113,2498,2522">«</WORD>
<WORD coords="2191,2525,2204,2470,2525">i</WORD>
<WORD coords="2353,2535,2670,2439,2522">iú&gt;ii]**¿&apos;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="273,2603,344,2545,2602">*el</WORD>
<WORD coords="406,2602,691,2543,2600">cociente</WORD>
<WORD coords="742,2618,770,2547,2618">f</WORD>
<WORD coords="819,2602,900,2547,2601">97</WORD>
<WORD coords="943,2622,970,2544,2622">)</WORD>
<WORD coords="1020,2624,1062,2564,2615">y</WORD>
<WORD coords="1116,2606,1473,2547,2604">tendremos</WORD>
<WORD coords="1530,2608,1563,2558,2608">3</WORD>
<WORD coords="1617,2627,1655,2567,2618">y</WORD>
<WORD coords="1708,2609,1888,2567,2608">como</WORD>
<WORD coords="1939,2609,2002,2550,2608">el</WORD>
<WORD coords="2047,2607,2181,2564,2605">otro</WORD>
<WORD coords="2241,2605,2518,2546,2602">cociente</WORD>
<WORD coords="2551,2621,2673,2560,2602">que</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="295,2794,595,2733,2791">antecede</WORD>
<WORD coords="654,2790,719,2752,2789">es</WORD>
<WORD coords="770,2793,1048,2734,2791">también</WORD>
<WORD coords="1106,2794,1142,2745,2794">2</WORD>
<WORD coords="1179,2811,1195,2781,2805">,</WORD>
<WORD coords="1253,2799,1611,2740,2797">tendremos</WORD>
<WORD coords="1653,2799,1771,2742,2798">dos</WORD>
<WORD coords="1841,2820,2189,2742,2798">quebrados</WORD>
<WORD coords="2246,2814,2673,2740,2793">homogéneos</WORD>
</LINE>
<LINE>
<WORD coords="1093,2898,1131,2848,2898">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="297,2983,332,2924,2984">á</WORD>
<WORD coords="388,2982,565,2924,2981">saber</WORD>
<WORD coords="622,2981,655,2930,2983">3</WORD>
<WORD coords="717,2983,954,2942,2981">sesmos</WORD>
<WORD coords="1013,3004,1054,2944,2995">y</WORD>
<WORD coords="1110,2985,1147,2936,2985">2</WORD>
<WORD coords="1204,2988,1446,2945,2986">sesmos</WORD>
<WORD coords="1474,3004,1493,2974,3004">,</WORD>
<WORD coords="1521,3009,1560,2950,2999">y</WORD>
<WORD coords="1605,2990,1741,2949,2989">sera</WORD>
<WORD coords="1783,2991,1847,2932,2990">la</WORD>
<WORD coords="1902,2991,2079,2948,2989">suma</WORD>
<WORD coords="2135,2987,2172,2938,2987">5</WORD>
<WORD coords="2227,2988,2463,2945,2986">sesmos</WORD>
<WORD coords="2516,2984,2552,2929,2985">ó</WORD>
<WORD coords="2612,2989,2671,2935,2988">5.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2607,3091,2646,3041,3091">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="293,3170,363,3111,3168">Si</WORD>
<WORD coords="428,3169,502,3133,3168">en</WORD>
<WORD coords="553,3171,584,3133,3171">e</WORD>
<WORD coords="594,3157,613,3138,3157">c</WORD>
<WORD coords="622,3171,680,3126,3170">te</WORD>
<WORD coords="741,3177,1018,3116,3172">cociente</WORD>
<WORD coords="1079,3174,1116,3137,3174">©</WORD>
<WORD coords="1199,3176,1474,3117,3175">división</WORD>
<WORD coords="1551,3180,1842,3119,3176">indicada</WORD>
<WORD coords="1915,3198,2401,3123,3178">multiplicamos</WORD>
<WORD coords="2454,3176,2674,3119,3174">ambos</WORD>
</LINE>
<LINE>
<WORD coords="302,3276,604,3223,3274">términos</WORD>
<WORD coords="666,3297,776,3240,3278">por</WORD>
<WORD coords="833,3278,870,3230,3280">5</WORD>
<WORD coords="903,3297,920,3267,3289">,</WORD>
<WORD coords="961,3282,1320,3222,3280">tendremos</WORD>
<WORD coords="1383,3282,1459,3235,3281">25</WORD>
<WORD coords="1504,3304,1549,3245,3295">y</WORD>
<WORD coords="1594,3286,1773,3247,3284">como</WORD>
<WORD coords="1818,3287,1876,3229,3287">el</WORD>
<WORD coords="1923,3288,2059,3241,3287">otro</WORD>
<WORD coords="2106,3288,2381,3234,3286">cociente</WORD>
<WORD coords="2418,3284,2482,3245,3283">es</WORD>
<WORD coords="2516,3282,2674,3238,3281">tam-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1350,3364,1354,3347,3364">:</WORD>
<WORD coords="1357,3389,1479,3311,3389">-S51</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="316,3465,463,3406,3463">bien</WORD>
<WORD coords="524,3466,557,3419,3469">2</WORD>
<WORD coords="592,3483,608,3456,3478">,</WORD>
<WORD coords="648,3471,839,3412,3470">habrá</WORD>
<WORD coords="890,3491,1035,3414,3473">aquí</WORD>
<WORD coords="1077,3472,1195,3414,3470">dos</WORD>
<WORD coords="1256,3490,1605,3413,3472">quebrados</WORD>
<WORD coords="1661,3496,2085,3413,3474">homogéneos</WORD>
<WORD coords="2118,3495,2136,3467,3495">f</WORD>
<WORD coords="2191,3495,2310,3438,3476">que</WORD>
<WORD coords="2385,3477,2678,3418,3475">conside»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="499,3573,579,3523,3573">30</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="302,3653,491,3597,3652">rados</WORD>
<WORD coords="548,3657,729,3619,3656">como</WORD>
<WORD coords="788,3660,1091,3602,3658">unidades</WORD>
<WORD coords="1123,3675,1143,3649,3668">,</WORD>
<WORD coords="1201,3661,1292,3606,3660">los</WORD>
<WORD coords="1351,3663,1738,3623,3661">sumaremos</WORD>
<WORD coords="1768,3680,1786,3651,3680">,</WORD>
<WORD coords="1828,3684,1868,3627,3673">y</WORD>
<WORD coords="1907,3663,2018,3626,3662">nos</WORD>
<WORD coords="2076,3666,2308,3609,3664">vendrá</WORD>
<WORD coords="2371,3666,2446,3610,3665">de</WORD>
<WORD coords="2497,3665,2675,3624,3663">suma</WORD>
</LINE>
<LINE>
<WORD coords="306,3759,366,3704,3759">el</WORD>
<WORD coords="425,3766,700,3705,3762">cociente</WORD>
<WORD coords="761,3766,910,3711,3764">total</WORD>
<WORD coords="957,3770,1036,3718,3769">27</WORD>
<WORD coords="1090,3770,1433,3712,3767">treintavos</WORD>
<WORD coords="1495,3767,1535,3713,3767">ó</WORD>
<WORD coords="1583,3770,1664,3719,3769">27</WORD>
<WORD coords="1699,3785,1713,3758,3778">,</WORD>
<WORD coords="1750,3771,1806,3715,3770">el</WORD>
<WORD coords="1855,3772,2079,3714,3771">mismo</WORD>
<WORD coords="2139,3793,2258,3736,3774">que</WORD>
<WORD coords="2322,3785,2668,3716,3771">resultaría,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1572,3874,1651,3825,3873">30</WORD>
<WORD coords="2531,3864,2544,3849,3869">&gt;</WORD>
<WORD coords="2597,3910,2652,3850,3910">j</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="303,3956,364,3896,3956">bI</WORD>
<WORD coords="408,3956,467,3898,3955">la</WORD>
<WORD coords="513,3976,843,3897,3957">operación</WORD>
<WORD coords="890,3958,955,3918,3957">se</WORD>
<WORD coords="1013,3961,1270,3900,3958">hubiera</WORD>
<WORD coords="1326,3957,1420,3899,3957">he&lt;</WORD>
<WORD coords="1444,3956,1525,3897,3954">ho</WORD>
<WORD coords="1587,3963,2053,3904,3961">directamente.</WORD>
<WORD coords="2144,3971,2220,3903,3962">L«</WORD>
<WORD coords="2276,3972,2334,3903,3965">Q</WORD>
<WORD coords="2407,3959,2486,3902,3958">D.</WORD>
<WORD coords="2537,3961,2624,3901,3958">D,</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0067.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0068.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0068.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1774,558,1914,416,555">li</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="898,692,1528,614,686">CANTIDADES</WORD>
<WORD coords="1582,712,2068,636,703">POSITIVAS</WORD>
<WORD coords="2114,716,2174,650,716">Y</WORD>
<WORD coords="2216,730,2662,638,723">NEGÁtlV</WORD>
<WORD coords="2686,738,2816,668,736">VS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="730,856,874,794,860">100.</WORD>
<WORD coords="978,866,1296,802,862">Cantidad</WORD>
<WORD coords="1334,892,1612,814,873">positiva</WORD>
<WORD coords="1654,882,1716,844,881">es</WORD>
<WORD coords="1762,886,1820,824,885">la</WORD>
<WORD coords="1866,912,1980,848,888">que</WORD>
<WORD coords="2022,892,2122,850,892">eos</WORD>
<WORD coords="2118,916,2270,840,895">pira</WORD>
<WORD coords="2318,902,2384,840,902">al</WORD>
<WORD coords="2410,928,2522,846,920">fin</WORD>
<WORD coords="2554,924,2572,896,924">,</WORD>
<WORD coords="2620,930,2736,870,911">que</WORD>
<WORD coords="2778,914,2842,874,913">se</WORD>
<WORD coords="2874,930,2962,868,916">pr</WORD>
<WORD coords="2960,922,2996,876,922">9</WORD>
<WORD coords="2998,910,3026,894,910">.</WORD>
</LINE>
<LINE>
<WORD coords="618,980,792,904,964">fone</WORD>
<WORD coords="836,962,896,906,962">él</WORD>
<WORD coords="944,976,1306,910,970">calculador.</WORD>
<WORD coords="1406,990,1724,924,985">Cantidad</WORD>
<WORD coords="1760,1014,2056,942,996">negativa</WORD>
<WORD coords="2100,1004,2170,964,1003">es,</WORD>
<WORD coords="2236,1006,2296,948,1005">la</WORD>
<WORD coords="2342,1034,2454,970,1011">que</WORD>
<WORD coords="2496,1038,2744,962,1016">cospira</WORD>
<WORD coords="2788,1022,2852,964,1021">al</WORD>
<WORD coords="2894,1040,3012,966,1036">fin</WORD>
</LINE>
<LINE>
<WORD coords="626,1076,946,1022,1071">tontrarto</WORD>
<WORD coords="994,1078,1060,1020,1078">al</WORD>
<WORD coords="1110,1104,1226,1040,1083">que</WORD>
<WORD coords="1280,1094,1520,1028,1090">intenta</WORD>
<WORD coords="1568,1096,1626,1036,1095">el</WORD>
<WORD coords="1698,1110,2064,1040,1104">calentador*</WORD>
<WORD coords="2164,1114,2288,1054,1112">Por</WORD>
<WORD coords="2364,1140,2682,1060,1120">ejemplo:</WORD>
<WORD coords="2758,1128,2824,1068,1128">Si</WORD>
<WORD coords="2902,1132,3002,1092,1131">me</WORD>
</LINE>
<LINE>
<WORD coords="622,1202,950,1132,1177">propongo</WORD>
<WORD coords="1002,1192,1272,1132,1188">calcular</WORD>
<WORD coords="1314,1194,1372,1138,1194">el</WORD>
<WORD coords="1424,1204,1644,1140,1200">dinero</WORD>
<WORD coords="1702,1224,1824,1166,1208">que</WORD>
<WORD coords="1870,1216,1968,1172,1213">rae</WORD>
<WORD coords="2020,1218,2170,1154,1215">falta</WORD>
<WORD coords="2200,1234,2218,1204,1228">,</WORD>
<WORD coords="2260,1222,2296,1170,1222">8</WORD>
<WORD coords="2358,1242,2542,1184,1225">pesos</WORD>
<WORD coords="2604,1250,2724,1192,1231">que</WORD>
<WORD coords="2774,1256,3012,1178,1233">presté,</WORD>
</LINE>
<LINE>
<WORD coords="622,1280,662,1226,1298">6</WORD>
<WORD coords="696,1302,876,1246,1285">pesos</WORD>
<WORD coords="926,1310,1046,1252,1292">que</WORD>
<WORD coords="1098,1296,1194,1256,1295">me</WORD>
<WORD coords="1240,1308,1504,1240,1302">robaron</WORD>
<WORD coords="1536,1328,1566,1292,1322">„</WORD>
<WORD coords="1582,1312,1762,1270,1309">serán</WORD>
<WORD coords="1814,1324,2176,1262,1319">cantidades</WORD>
<WORD coords="2210,1344,2508,1270,1329">positivas</WORD>
<WORD coords="2542,1340,2566,1296,1340">:</WORD>
<WORD coords="2616,1356,2848,1298,1338">porque</WORD>
<WORD coords="2886,1348,3004,1300,1344">tra-</WORD>
</LINE>
<LINE>
<WORD coords="614,1390,718,1338,1390">»an</WORD>
<WORD coords="764,1394,844,1336,1393">de</WORD>
<WORD coords="900,1404,1224,1354,1400">aumentar</WORD>
<WORD coords="1272,1410,1330,1350,1409">el</WORD>
<WORD coords="1364,1420,1732,1360,1414">menoscabo</WORD>
<WORD coords="1792,1424,1868,1364,1423">de</WORD>
<WORD coords="1904,1426,1990,1366,1425">mi</WORD>
<WORD coords="2038,1434,2258,1370,1431">dinero</WORD>
<WORD coords="2294,1450,2312,1422,1450">,</WORD>
<WORD coords="2342,1456,2462,1396,1438">que</WORD>
<WORD coords="2508,1442,2574,1404,1442">es</WORD>
<WORD coords="2620,1444,2680,1388,1443">lo</WORD>
<WORD coords="2712,1464,2832,1406,1447">que</WORD>
</LINE>
<LINE>
<WORD coords="614,1524,938,1454,1498">propongo</WORD>
<WORD coords="994,1516,1280,1452,1509">calcular.</WORD>
<WORD coords="1378,1520,1498,1460,1518">Por</WORD>
<WORD coords="1548,1524,1606,1464,1523">el</WORD>
<WORD coords="1660,1536,1970,1474,1530">contrario</WORD>
<WORD coords="2006,1544,2044,1482,1544">%</WORD>
<WORD coords="2086,1556,2266,1500,1540">pesos</WORD>
<WORD coords="2324,1562,2446,1506,1545">que</WORD>
<WORD coords="2506,1568,2662,1494,1549">gané</WORD>
<WORD coords="2722,1556,2776,1500,1556">al</WORD>
<WORD coords="2824,1558,2902,1498,1557">So</WORD>
<WORD coords="2932,1578,2988,1518,1560">o,</WORD>
</LINE>
<LINE>
<WORD coords="598,1624,652,1558,1632">y</WORD>
<WORD coords="682,1606,764,1554,1617">20</WORD>
<WORD coords="794,1628,974,1570,1610">pesos</WORD>
<WORD coords="1006,1632,1126,1576,1616">que</WORD>
<WORD coords="1180,1622,1280,1580,1621">me</WORD>
<WORD coords="1326,1626,1448,1562,1624">han</WORD>
<WORD coords="1504,1650,1742,1574,1629">pagado</WORD>
<WORD coords="1796,1640,1976,1598,1637">serán</WORD>
<WORD coords="2034,1648,2394,1588,1645">cantidades</WORD>
<WORD coords="2436,1674,2760,1598,1654">negativas</WORD>
<WORD coords="2792,1676,2810,1648,1676">,</WORD>
<WORD coords="2842,1680,2980,1622,1662">por-</WORD>
</LINE>
<LINE>
<WORD coords="602,1732,730,1664,1714">íue</WORD>
<WORD coords="776,1718,896,1676,1718">van</WORD>
<WORD coords="940,1730,1156,1676,1723">contra</WORD>
<WORD coords="1208,1732,1294,1670,1730">mi</WORD>
<WORD coords="1346,1732,1426,1672,1732">fin</WORD>
<WORD coords="1454,1752,1476,1720,1749">,</WORD>
<WORD coords="1530,1746,1672,1682,1740">cual</WORD>
<WORD coords="1728,1746,1836,1682,1744">fue</WORD>
<WORD coords="1898,1768,2226,1706,1750">computar</WORD>
<WORD coords="2288,1754,2342,1698,1753">la</WORD>
<WORD coords="2386,1760,2538,1696,1757">falta</WORD>
<WORD coords="2584,1762,2662,1704,1762">de</WORD>
<WORD coords="2738,1774,2980,1708,1767">dinero.</WORD>
</LINE>
<LINE>
<WORD coords="852,1828,982,1766,1827">Las</WORD>
<WORD coords="1040,1840,1408,1776,1836">cantidades</WORD>
<WORD coords="1462,1864,1764,1788,1847">positivas</WORD>
<WORD coords="1814,1856,2024,1792,1854">tienen</WORD>
<WORD coords="2068,1858,2126,1802,1858">el</WORD>
<WORD coords="2178,1882,2360,1802,1861">signo</WORD>
<WORD coords="2416,1890,2500,1808,1890">-f</WORD>
<WORD coords="2526,1882,2544,1852,1882">,</WORD>
<WORD coords="2600,1890,2834,1830,1871">porque</WORD>
<WORD coords="2856,1876,2980,1828,1873">tra-</WORD>
</LINE>
<LINE>
<WORD coords="586,1928,706,1876,1927">tan</WORD>
<WORD coords="762,1932,844,1870,1931">de</WORD>
<WORD coords="902,1942,1228,1892,1938">aumentar</WORD>
<WORD coords="1274,1950,1336,1886,1947">el</WORD>
<WORD coords="1386,1954,1704,1894,1951">resultado</WORD>
<WORD coords="1734,1938,1750,1916,1948">•</WORD>
<WORD coords="1784,1960,1914,1912,1958">este</WORD>
<WORD coords="1958,1984,2140,1904,1962">signo</WORD>
<WORD coords="2194,1970,2262,1930,1968">se</WORD>
<WORD coords="2312,1974,2502,1914,1971">omite</WORD>
<WORD coords="2562,1976,2626,1918,1975">al</WORD>
<WORD coords="2674,1996,2978,1922,1979">principio</WORD>
</LINE>
<LINE>
<WORD coords="596,2034,642,1992,2034">o</WORD>
<WORD coords="698,2042,940,1982,2038">cuando</WORD>
<WORD coords="996,2046,1066,2004,2046">es</WORD>
<WORD coords="1112,2054,1234,2008,2050">una</WORD>
<WORD coords="1278,2060,1584,2000,2056">cantidad</WORD>
<WORD coords="1636,2084,1820,2008,2065">sola,</WORD>
<WORD coords="1860,2070,1954,2010,2069">asi</WORD>
<WORD coords="2006,2072,2048,2020,2072">3</WORD>
<WORD coords="2092,2076,2160,2036,2075">es</WORD>
<WORD coords="2216,2084,2276,2018,2081">1q</WORD>
<WORD coords="2324,2084,2552,2020,2081">mismo</WORD>
<WORD coords="2610,2104,2732,2046,2087">que</WORD>
<WORD coords="2774,2112,2862,2026,2092">4.</WORD>
<WORD coords="2894,2088,2926,2038,2088">3</WORD>
<WORD coords="2954,2106,2972,2060,2106">;</WORD>
</LINE>
<LINE>
<WORD coords="590,2144,638,2084,2152">•</WORD>
<WORD coords="668,2156,714,2084,2158">+</WORD>
<WORD coords="740,2144,778,2094,2152">8</WORD>
<WORD coords="824,2148,894,2108,2148">es</WORD>
<WORD coords="956,2154,1016,2092,2153">lo</WORD>
<WORD coords="1072,2164,1304,2096,2159">mismo</WORD>
<WORD coords="1344,2182,1468,2124,2169">que</WORD>
<WORD coords="1600,2170,1638,2116,2170">6</WORD>
<WORD coords="1670,2190,1716,2126,2184">+</WORD>
<WORD coords="1750,2178,1810,2122,2174">s,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="844,2260,972,2196,2258">Las</WORD>
<WORD coords="1026,2276,1396,2206,2267">cantidades</WORD>
<WORD coords="1448,2296,1774,2222,2277">negativas</WORD>
<WORD coords="1822,2306,2092,2224,2285">siempre</WORD>
<WORD coords="2144,2292,2352,2234,2290">tienen</WORD>
<WORD coords="2402,2296,2460,2236,2295">el</WORD>
<WORD coords="2518,2318,2698,2240,2299">signo</WORD>
<WORD coords="2740,2294,2806,2276,2294">-</WORD>
<WORD coords="2854,2324,2986,2264,2307">que</WORD>
</LINE>
<LINE>
<WORD coords="588,2358,660,2312,2357">es</WORD>
<WORD coords="704,2358,760,2298,2358">el</WORD>
<WORD coords="808,2364,888,2302,2363">de</WORD>
<WORD coords="932,2370,1130,2320,2368">restar</WORD>
<WORD coords="1160,2390,1180,2356,2390">,</WORD>
<WORD coords="1212,2394,1446,2334,2377">porque</WORD>
<WORD coords="1500,2386,1652,2326,2383">ellas</WORD>
<WORD coords="1710,2392,1910,2340,2389">tratan</WORD>
<WORD coords="1956,2394,2032,2336,2394">de</WORD>
<WORD coords="2092,2402,2428,2338,2398">disminuir</WORD>
<WORD coords="2464,2402,2502,2346,2402">ó</WORD>
<WORD coords="2546,2410,2824,2346,2407">destruir</WORD>
<WORD coords="2852,2412,2974,2370,2411">uní</WORD>
</LINE>
<LINE>
<WORD coords="588,2472,886,2408,2468">cantidad</WORD>
<WORD coords="952,2476,1058,2416,2475">del</WORD>
<WORD coords="1124,2490,1442,2424,2483">resultado</WORD>
<WORD coords="1502,2510,1674,2430,2491">igual</WORD>
<WORD coords="1744,2496,1776,2440,2496">á</WORD>
<WORD coords="1838,2498,1896,2440,2498">la</WORD>
<WORD coords="1958,2520,2080,2462,2503">que</WORD>
<WORD coords="2134,2524,2526,2462,2506">representan</WORD>
<WORD coords="2564,2518,2582,2478,2516">;</WORD>
<WORD coords="2636,2514,2726,2456,2512">asi</WORD>
<WORD coords="2784,2518,2860,2476,2517">en</WORD>
<WORD coords="2904,2522,2964,2460,2520">el</WORD>
</LINE>
<LINE>
<WORD coords="582,2578,826,2516,2573">calculo</WORD>
<WORD coords="882,2588,1156,2524,2583">anterior</WORD>
<WORD coords="1210,2608,1332,2550,2591">que</WORD>
<WORD coords="1384,2598,1528,2532,2595">hhe</WORD>
<WORD coords="1586,2600,1664,2558,2600">en</WORD>
<WORD coords="1714,2608,1910,2546,2604">orden</WORD>
<WORD coords="1972,2608,2002,2554,2608">á</WORD>
<WORD coords="2064,2632,2396,2552,2611">averiguar</WORD>
<WORD coords="2436,2614,2490,2558,2614">la</WORD>
<WORD coords="2536,2622,2686,2556,2619">fclta</WORD>
<WORD coords="2740,2622,2818,2564,2622">de</WORD>
<WORD coords="2864,2624,2962,2564,2624">di-</WORD>
</LINE>
<LINE>
<WORD coords="582,2682,736,2636,2680">ñero</WORD>
<WORD coords="766,2698,784,2670,2705">,</WORD>
<WORD coords="832,2688,924,2628,2686">las</WORD>
<WORD coords="982,2700,1216,2634,2692">salidas</WORD>
<WORD coords="1270,2718,1314,2658,2715">y</WORD>
<WORD coords="1358,2712,1654,2646,2705">entradas</WORD>
<WORD coords="1712,2714,1968,2652,2711">deberia</WORD>
<WORD coords="2012,2734,2302,2676,2719">espresar</WORD>
<WORD coords="2358,2722,2436,2664,2721">de</WORD>
<WORD coords="2510,2726,2644,2678,2724">esta</WORD>
<WORD coords="2712,2734,2948,2684,2729">suerte:</WORD>
</LINE>
<LINE>
<WORD coords="578,2788,618,2732,2802">8</WORD>
<WORD coords="680,2808,860,2750,2792">pesos</WORD>
<WORD coords="908,2808,956,2740,2812">+</WORD>
<WORD coords="1006,2798,1046,2744,2807">6</WORD>
<WORD coords="1102,2820,1280,2764,2804">pesos</WORD>
<WORD coords="1320,2808,1408,2776,2812">—</WORD>
<WORD coords="1448,2812,1486,2756,2814">7</WORD>
<WORD coords="1538,2832,1718,2774,2814">pesos</WORD>
<WORD coords="1762,2814,1854,2792,2815">—</WORD>
<WORD coords="1908,2822,1990,2770,2821">20</WORD>
<WORD coords="2036,2844,2242,2784,2825">pesos.</WORD>
<WORD coords="2338,2828,2434,2770,2828">En</WORD>
<WORD coords="2518,2832,2658,2784,2830">esta</WORD>
<WORD coords="2734,2852,2956,2794,2834">espre-</WORD>
</LINE>
<LINE>
<WORD coords="578,2896,720,2834,2895">sion</WORD>
<WORD coords="752,2916,770,2884,2920">,</WORD>
<WORD coords="812,2920,854,2862,2922">y</WORD>
<WORD coords="896,2904,974,2864,2904">en</WORD>
<WORD coords="1026,2930,1382,2852,2910">cualquiera</WORD>
<WORD coords="1432,2918,1570,2868,2916">otra</WORD>
<WORD coords="1622,2926,1828,2862,2924">donde</WORD>
<WORD coords="1886,2948,2044,2866,2928">haya</WORD>
<WORD coords="2072,2936,2434,2874,2931">cantidades</WORD>
<WORD coords="2484,2936,2562,2876,2936">de</WORD>
<WORD coords="2608,2944,2950,2880,2939">diferentes</WORD>
</LINE>
<LINE>
<WORD coords="574,3022,790,2958,3001">signos</WORD>
<WORD coords="818,3022,836,2994,3025">,</WORD>
<WORD coords="872,3010,942,2970,3009">se</WORD>
<WORD coords="1004,3020,1298,2956,3015">obtendrá</WORD>
<WORD coords="1326,3022,1382,2964,3021">el</WORD>
<WORD coords="1408,3028,1716,2964,3024">resultado</WORD>
<WORD coords="1748,3052,2150,2972,3031">destruyendo</WORD>
<WORD coords="2180,3038,2332,2982,3037">cada</WORD>
<WORD coords="2360,3042,2658,2986,3040">cantidad</WORD>
<WORD coords="2672,3064,2948,2986,3045">positiva</WORD>
</LINE>
<LINE>
<WORD coords="572,3110,688,3066,3108">con</WORD>
<WORD coords="734,3114,810,3072,3112">su</WORD>
<WORD coords="854,3142,1150,3064,3119">negativa</WORD>
<WORD coords="1180,3150,1704,3072,3130">separadamente;</WORD>
<WORD coords="1736,3134,1774,3080,3135">ó</WORD>
<WORD coords="1808,3136,1866,3080,3136">lo</WORD>
<WORD coords="1900,3158,2016,3100,3139">que</WORD>
<WORD coords="2050,3140,2116,3102,3140">es</WORD>
<WORD coords="2166,3166,2364,3086,3143">mejor</WORD>
<WORD coords="2398,3158,2412,3132,3152">,</WORD>
<WORD coords="2444,3146,2508,3108,3146">se</WORD>
<WORD coords="2534,3152,2830,3094,3148">reunirán</WORD>
<WORD coords="2874,3156,2962,3112,3155">en.</WORD>
</LINE>
<LINE>
<WORD coords="570,3218,700,3174,3217">una</WORD>
<WORD coords="726,3224,856,3164,3221">sola</WORD>
<WORD coords="908,3228,1080,3168,3226">todas</WORD>
<WORD coords="1104,3230,1194,3174,3229">las</WORD>
<WORD coords="1240,3256,1564,3182,3236">negativas</WORD>
<WORD coords="1592,3260,1636,3202,3251">y</WORD>
<WORD coords="1664,3242,1738,3202,3242">en</WORD>
<WORD coords="1782,3246,1920,3196,3243">otra</WORD>
<WORD coords="1964,3248,2136,3190,3247">todas</WORD>
<WORD coords="2180,3250,2270,3192,3249">las</WORD>
<WORD coords="2312,3272,2614,3196,3252">positivas</WORD>
<WORD coords="2646,3260,2668,3218,3258">;</WORD>
<WORD coords="2710,3256,2776,3218,3255">se</WORD>
<WORD coords="2820,3258,2950,3218,3258">res-</WORD>
</LINE>
<LINE>
<WORD coords="570,3328,716,3274,3326">tara</WORD>
<WORD coords="760,3330,818,3270,3329">la</WORD>
<WORD coords="850,3334,1054,3292,3332">menor</WORD>
<WORD coords="1082,3338,1154,3278,3338">de</WORD>
<WORD coords="1200,3342,1260,3282,3340">la</WORD>
<WORD coords="1302,3366,1516,3304,3343">mayor</WORD>
<WORD coords="1558,3368,1600,3308,3359">y</WORD>
<WORD coords="1628,3350,1666,3312,3350">a</WORD>
<WORD coords="1696,3350,1754,3292,3349">la</WORD>
<WORD coords="1788,3352,1952,3304,3350">resta</WORD>
<WORD coords="2004,3354,2070,3314,3352">se</WORD>
<WORD coords="2094,3354,2146,3298,3353">le</WORD>
<WORD coords="2192,3376,2438,3302,3356">pondrá</WORD>
<WORD coords="2490,3358,2544,3312,3357">el</WORD>
<WORD coords="2592,3384,2772,3304,3361">si^no</WORD>
<WORD coords="2834,3386,2950,3324,3365">que</WORD>
</LINE>
<LINE>
<WORD coords="568,3432,628,3372,3432">le</WORD>
<WORD coords="644,3454,992,3386,3436">pertenece.</WORD>
<WORD coords="1050,3444,1148,3386,3444">En</WORD>
<WORD coords="1206,3450,1266,3390,3449">el</WORD>
<WORD coords="1310,3474,1582,3392,3453">ejemplo</WORD>
<WORD coords="1626,3456,1900,3400,3455">anterior</WORD>
<WORD coords="1954,3478,2222,3400,3459">después</WORD>
<WORD coords="2268,3462,2344,3406,3462">de</WORD>
<WORD coords="2378,3466,2628,3406,3464">reducir</WORD>
<WORD coords="2662,3482,2678,3454,3478">,</WORD>
<WORD coords="2722,3474,2944,3414,3468">tendré</WORD>
</LINE>
<LINE>
<WORD coords="574,3540,654,3484,3546">14</WORD>
<WORD coords="708,3558,888,3502,3542">pesos</WORD>
<WORD coords="936,3538,1018,3522,3545">—</WORD>
<WORD coords="1048,3568,1168,3498,3562">27,</WORD>
<WORD coords="1210,3574,1252,3516,3574">y</WORD>
<WORD coords="1298,3578,1672,3498,3558">ejecutando</WORD>
<WORD coords="1730,3564,1790,3504,3563">la</WORD>
<WORD coords="1834,3566,2232,3504,3564">destrucción</WORD>
<WORD coords="2292,3568,2408,3528,3568">con</WORD>
<WORD coords="2480,3576,2676,3526,3571">restar</WORD>
<WORD coords="2746,3576,2804,3518,3576">el</WORD>
<WORD coords="2866,3580,2946,3524,3579">14</WORD>
</LINE>
<LINE>
<WORD coords="560,3650,678,3584,3647">&apos;del</WORD>
<WORD coords="718,3664,846,3594,3655">27,</WORD>
<WORD coords="892,3656,1028,3612,3653">sera</WORD>
<WORD coords="1072,3660,1128,3600,3659">el</WORD>
<WORD coords="1174,3666,1492,3606,3663">resultado</WORD>
<WORD coords="1536,3656,1616,3640,3657">~</WORD>
<WORD coords="1656,3670,1748,3618,3669">13.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="822,3758,922,3698,3758">De</WORD>
<WORD coords="976,3766,1128,3706,3762">todo</WORD>
<WORD coords="1184,3768,1244,3710,3767">lo</WORD>
<WORD coords="1302,3790,1592,3728,3772">espuesto</WORD>
<WORD coords="1638,3776,1702,3738,3775">se</WORD>
<WORD coords="1746,3800,1948,3720,3777">sigue,</WORD>
<WORD coords="1994,3798,2114,3740,3780">que</WORD>
<WORD coords="2174,3800,2288,3742,3781">por</WORD>
<WORD coords="2346,3786,2420,3744,3784">su</WORD>
<WORD coords="2458,3788,2818,3728,3785">naturaleza</WORD>
<WORD coords="2862,3790,2948,3748,3789">no</WORD>
</LINE>
<LINE>
<WORD coords="558,3884,688,3822,3862">«ay</WORD>
<WORD coords="734,3870,1096,3808,3866">cantidades</WORD>
<WORD coords="1150,3890,1448,3818,3875">positivas</WORD>
<WORD coords="1502,3880,1566,3822,3880">ni</WORD>
<WORD coords="1618,3906,1942,3828,3883">negátivas</WORD>
<WORD coords="1978,3900,1998,3872,3893">,</WORD>
<WORD coords="2034,3886,2168,3828,3885">sino</WORD>
<WORD coords="2220,3908,2520,3844,3888">supuesto</WORD>
<WORD coords="2568,3892,2622,3836,3891">el</WORD>
<WORD coords="2680,3892,2756,3836,3892">fin</WORD>
<WORD coords="2816,3912,2940,3854,3896">que</WORD>
</LINE>
<LINE>
<WORD coords="558,3968,632,3924,3966">•e</WORD>
<WORD coords="696,3996,970,3934,3975">propone</WORD>
<WORD coords="1026,3980,1086,3920,3979">el</WORD>
<WORD coords="1152,3988,1590,3922,3983">Matemático.</WORD>
<WORD coords="1682,3992,1946,3932,3991">Cuando</WORD>
<WORD coords="2016,3994,2082,3954,3993">se</WORD>
<WORD coords="2138,3996,2370,3938,3994">calcula</WORD>
<WORD coords="2414,3996,2470,3938,3996">la</WORD>
<WORD coords="2534,4012,2796,3940,3997">pérdida</WORD>
<WORD coords="2858,4004,2940,3942,4002">de</WORD>
</LINE>
<LINE>
<WORD coords="556,4090,686,4044,4088">una</WORD>
<WORD coords="728,4090,874,4044,4090">cosa</WORD>
<WORD coords="906,4106,928,4070,4103">,</WORD>
<WORD coords="974,4092,1124,4030,4092">toda</WORD>
<WORD coords="1178,4114,1448,4032,4095">péidida</WORD>
<WORD coords="1496,4098,1566,4054,4098">ei</WORD>
<WORD coords="1624,4104,1924,4040,4101">cantidad</WORD>
<WORD coords="1988,4124,2268,4042,4104">positiva</WORD>
<WORD coords="2322,4124,2368,4064,4116">y</WORD>
<WORD coords="2432,4108,2582,4046,4107">toda</WORD>
<WORD coords="2636,4128,2942,4048,4107">ganancia</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0068.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0069.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0069.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="269,746,567,675,744">¿«ntídad</WORD>
<WORD coords="618,771,905,673,748">negativa</WORD>
<WORD coords="938,735,954,719,749">•</WORD>
<WORD coords="1002,755,1243,695,753">euando</WORD>
<WORD coords="1287,757,1348,721,757">se</WORD>
<WORD coords="1396,764,1631,707,760">calcula</WORD>
<WORD coords="1686,766,1740,709,765">la</WORD>
<WORD coords="1796,790,2088,713,770">ganancia</WORD>
<WORD coords="2126,791,2144,763,786">,</WORD>
<WORD coords="2202,781,2346,724,778">toda</WORD>
<WORD coords="2406,804,2633,746,785">ganas,</WORD>
</LINE>
<LINE>
<WORD coords="262,851,359,794,850">«ia</WORD>
<WORD coords="418,856,483,819,855">es</WORD>
<WORD coords="543,860,835,800,857">cantidad</WORD>
<WORD coords="886,878,1152,804,862">positiva</WORD>
<WORD coords="1201,884,1242,828,878">y</WORD>
<WORD coords="1286,869,1437,810,866">toda</WORD>
<WORD coords="1497,891,1765,816,873">pérdida</WORD>
<WORD coords="1812,884,2105,825,879">cantidad</WORD>
<WORD coords="2155,910,2464,833,887">negativa.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="259,1037,384,971,1035">BE</WORD>
<WORD coords="452,1040,620,976,1037">LOS</WORD>
<WORD coords="687,1045,1162,979,1042">NUMEROS</WORD>
<WORD coords="1236,1061,1816,990,1051">QUEBRADOS</WORD>
<WORD coords="1881,1060,1939,1002,1060">O</WORD>
<WORD coords="2006,1081,2633,1003,1068">FRACCIONES.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="370,1217,508,1164,1219">101.</WORD>
<WORD coords="599,1222,887,1158,1219">Numero</WORD>
<WORD coords="934,1247,1234,1168,1223">quebrado</WORD>
<WORD coords="1267,1233,1283,1210,1233">,</WORD>
<WORD coords="1315,1250,1609,1171,1232">fracción</WORD>
<WORD coords="1656,1234,1687,1195,1234">o</WORD>
<WORD coords="1759,1242,2023,1178,1237">minucia</WORD>
<WORD coords="2072,1243,2137,1206,1242">es</WORD>
<WORD coords="2210,1244,2265,1189,1244">ei</WORD>
<WORD coords="2326,1267,2443,1213,1250">que</WORD>
<WORD coords="2493,1259,2628,1200,1256">solo</WORD>
</LINE>
<LINE>
<WORD coords="256,1343,385,1283,1324">•api</WORD>
<WORD coords="403,1326,504,1288,1324">esa</WORD>
<WORD coords="563,1344,766,1282,1326">partes</WORD>
<WORD coords="825,1330,902,1277,1330">de</WORD>
<WORD coords="972,1330,1025,1277,1330">la</WORD>
<WORD coords="1070,1353,1352,1278,1333">unidad,</WORD>
<WORD coords="1411,1340,1499,1285,1338">asi</WORD>
<WORD coords="1554,1341,1618,1305,1341">es</WORD>
<WORD coords="1679,1343,1712,1293,1343">3</WORD>
<WORD coords="1764,1350,2006,1303,1346">cuartas</WORD>
<WORD coords="2064,1350,2142,1294,1350">de</WORD>
<WORD coords="2206,1359,2369,1316,1352">vara.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="510,1434,666,1375,1432">Para</WORD>
<WORD coords="711,1439,1008,1382,1436">entender</WORD>
<WORD coords="1054,1443,1193,1384,1441">bien</WORD>
<WORD coords="1243,1445,1294,1389,1444">la</WORD>
<WORD coords="1343,1449,1539,1392,1446">teoría</WORD>
<WORD coords="1586,1470,1625,1415,1467">y</WORD>
<WORD coords="1670,1465,1937,1398,1453">practica</WORD>
<WORD coords="1992,1460,2069,1403,1459">de</WORD>
<WORD coords="2118,1461,2207,1405,1460">los</WORD>
<WORD coords="2253,1495,2625,1413,1472">quebrados,</WORD>
</LINE>
<LINE>
<WORD coords="249,1541,551,1483,1539">tonviene</WORD>
<WORD coords="598,1543,768,1497,1542">tener</WORD>
<WORD coords="814,1548,960,1489,1545">bien</WORD>
<WORD coords="1016,1553,1352,1496,1550">entendida</WORD>
<WORD coords="1415,1556,1468,1499,1554">ia</WORD>
<WORD coords="1525,1562,1797,1502,1558">división</WORD>
<WORD coords="1858,1565,1933,1509,1564">de</WORD>
<WORD coords="1982,1567,2071,1511,1565">los</WORD>
<WORD coords="2130,1580,2395,1528,1571">enteros.</WORD>
<WORD coords="2496,1584,2625,1465,1583">De!</WORD>
</LINE>
<LINE>
<WORD coords="235,1647,456,1586,1645">kemos</WORD>
<WORD coords="491,1661,510,1634,1662">,</WORD>
<WORD coords="569,1666,722,1610,1648">pues</WORD>
<WORD coords="758,1665,781,1639,1661">,.</WORD>
<WORD coords="852,1655,1144,1598,1652">recordar</WORD>
<WORD coords="1199,1677,1317,1622,1659">que</WORD>
<WORD coords="1371,1686,1511,1606,1671">[66]</WORD>
<WORD coords="1565,1665,1616,1609,1664">al</WORD>
<WORD coords="1676,1670,1913,1610,1667">dividir</WORD>
<WORD coords="1973,1674,2027,1616,1671">la</WORD>
<WORD coords="2099,1679,2263,1632,1676">resta</WORD>
<WORD coords="2341,1685,2381,1633,1685">4</WORD>
<WORD coords="2442,1695,2625,1647,1690">vara»</WORD>
</LINE>
<LINE>
<WORD coords="226,1754,402,1690,1752">éntre</WORD>
<WORD coords="462,1755,500,1701,1764">6</WORD>
<WORD coords="544,1759,840,1697,1757">hombres</WORD>
<WORD coords="870,1773,886,1748,1773">,</WORD>
<WORD coords="936,1780,1046,1726,1762">por</WORD>
<WORD coords="1100,1766,1178,1729,1765">no</WORD>
<WORD coords="1237,1788,1524,1715,1770">poderles</WORD>
<WORD coords="1583,1777,1765,1722,1775">caber</WORD>
<WORD coords="1814,1778,1843,1727,1778">á</WORD>
<WORD coords="1904,1782,2023,1744,1781">una</WORD>
<WORD coords="2068,1785,2211,1746,1783">vara</WORD>
<WORD coords="2261,1809,2469,1735,1791">cabal,</WORD>
<WORD coords="2517,1804,2615,1755,1801">tu-</WORD>
</LINE>
<LINE>
<WORD coords="239,1862,447,1799,1861">pirnos</WORD>
<WORD coords="504,1882,622,1827,1865">qne</WORD>
<WORD coords="673,1868,911,1809,1866">dividir</WORD>
<WORD coords="967,1872,1120,1814,1870">cada</WORD>
<WORD coords="1182,1879,1417,1820,1876">unidad</WORD>
<WORD coords="1464,1881,1501,1825,1884">ó</WORD>
<WORD coords="1561,1885,1704,1845,1882">vara</WORD>
<WORD coords="1740,1885,1813,1848,1884">en</WORD>
<WORD coords="1860,1886,1895,1834,1887">6</WORD>
<WORD coords="1932,1906,2132,1845,1890">partes</WORD>
<WORD coords="2167,1920,2401,1838,1899">iguales</WORD>
<WORD coords="2431,1926,2469,1870,1919">y</WORD>
<WORD coords="2505,1913,2618,1853,1911">dar</WORD>
</LINE>
<LINE>
<WORD coords="243,1967,275,1910,1978">á</WORD>
<WORD coords="339,1971,502,1911,1970">cada</WORD>
<WORD coords="560,1973,818,1913,1972">hombre</WORD>
<WORD coords="874,1980,956,1941,1979">un</WORD>
<WORD coords="1030,1982,1234,1943,1979">sesmo</WORD>
<WORD coords="1292,2005,1409,1947,1985">por</WORD>
<WORD coords="1480,1991,1631,1933,1989">cada</WORD>
<WORD coords="1686,1994,1831,1955,1992">vara</WORD>
<WORD coords="1879,2007,1893,1962,2007">;</WORD>
<WORD coords="1942,2015,1981,1959,2008">y</WORD>
<WORD coords="2038,2002,2219,1961,1999">como</WORD>
<WORD coords="2273,2010,2383,1971,2008">son</WORD>
<WORD coords="2432,2014,2472,1969,2014">4</WORD>
<WORD coords="2528,2022,2617,1963,2019">las</WORD>
</LINE>
<LINE>
<WORD coords="238,2086,420,2042,2082">Taras</WORD>
<WORD coords="481,2085,537,2030,2084">el</WORD>
<WORD coords="584,2092,860,2030,2088">cociente</WORD>
<WORD coords="906,2096,972,2055,2095">es</WORD>
<WORD coords="1026,2101,1069,2043,2103">4</WORD>
<WORD coords="1119,2099,1357,2060,2097">sesmos</WORD>
<WORD coords="1408,2103,1447,2047,2104">ó</WORD>
<WORD coords="1509,2104,1565,2052,2104">4.</WORD>
<WORD coords="1663,2108,1799,2049,2107">Ahi</WORD>
<WORD coords="1840,2115,2293,2051,2111">demostramos</WORD>
<WORD coords="2321,2136,2339,2106,2136">,</WORD>
<WORD coords="2371,2140,2485,2084,2122">que</WORD>
<WORD coords="2522,2130,2614,2090,2128">es-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1511,2213,1558,2134,2181">6*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="237,2278,301,2228,2277">te</WORD>
<WORD coords="347,2280,624,2229,2276">cociente</WORD>
<WORD coords="664,2281,768,2242,2280">era</WORD>
<WORD coords="820,2286,940,2246,2285">una</WORD>
<WORD coords="982,2293,1256,2228,2288">división</WORD>
<WORD coords="1314,2299,1607,2237,2295">indicada</WORD>
<WORD coords="1665,2300,1766,2243,2300">del</WORD>
<WORD coords="1823,2307,2168,2244,2304">dividendo</WORD>
<WORD coords="2200,2308,2243,2254,2308">4</WORD>
<WORD coords="2273,2328,2382,2272,2310">por</WORD>
<WORD coords="2429,2317,2479,2260,2316">el</WORD>
<WORD coords="2516,2322,2609,2262,2320">di-</WORD>
</LINE>
<LINE>
<WORD coords="236,2382,404,2325,2380">visor</WORD>
<WORD coords="443,2382,482,2329,2393">6</WORD>
<WORD coords="509,2402,529,2371,2403">,</WORD>
<WORD coords="570,2405,609,2348,2404">y</WORD>
<WORD coords="653,2389,833,2349,2387">como</WORD>
<WORD coords="879,2393,1011,2336,2391">solo</WORD>
<WORD coords="1059,2415,1315,2358,2397">espresa</WORD>
<WORD coords="1374,2423,1578,2360,2404">partes</WORD>
<WORD coords="1632,2408,1709,2350,2407">de</WORD>
<WORD coords="1749,2409,1804,2355,2408">la</WORD>
<WORD coords="1856,2414,2089,2354,2412">unidad</WORD>
<WORD coords="2123,2436,2142,2403,2428">,</WORD>
<WORD coords="2198,2421,2228,2365,2421">á</WORD>
<WORD coords="2280,2424,2457,2365,2422">saber</WORD>
<WORD coords="2516,2433,2610,2373,2429">los</WORD>
</LINE>
<LINE>
<WORD coords="226,2502,469,2437,2491">Sesmos</WORD>
<WORD coords="500,2506,514,2479,2509">,</WORD>
<WORD coords="570,2518,930,2434,2495">dedujimos</WORD>
<WORD coords="984,2524,1128,2448,2515">(67)</WORD>
<WORD coords="1179,2524,1289,2468,2506">por</WORD>
<WORD coords="1328,2514,1633,2455,2511">corolario</WORD>
<WORD coords="1687,2534,1806,2480,2518">que</WORD>
<WORD coords="1857,2522,1991,2466,2520">todo</WORD>
<WORD coords="2036,2546,2335,2470,2527">quebrado</WORD>
<WORD coords="2385,2557,2611,2487,2534">propi*</WORD>
</LINE>
<LINE>
<WORD coords="228,2601,292,2557,2597">0S</WORD>
<WORD coords="336,2598,393,2542,2598">ei</WORD>
<WORD coords="434,2603,699,2545,2600">ceciente</WORD>
<WORD coords="754,2604,828,2546,2603">de</WORD>
<WORD coords="874,2609,1107,2549,2606">dividir</WORD>
<WORD coords="1162,2614,1246,2573,2612">un</WORD>
<WORD coords="1289,2620,1537,2578,2617">numero</WORD>
<WORD coords="1585,2626,1790,2585,2622">menor</WORD>
<WORD coords="1843,2648,1962,2581,2627">por</WORD>
<WORD coords="2022,2633,2154,2583,2631">&lt;stro</WORD>
<WORD coords="2204,2658,2434,2599,2637">mayor.</WORD>
<WORD coords="2554,2631,2561,2592,2631">i</WORD>
</LINE>
<LINE>
<WORD coords="483,2710,580,2649,2708">De</WORD>
<WORD coords="621,2730,767,2654,2711">aquí</WORD>
<WORD coords="822,2716,887,2677,2715">se</WORD>
<WORD coords="947,2721,1189,2658,2719">deduce</WORD>
<WORD coords="1237,2741,1357,2686,2724">que</WORD>
<WORD coords="1416,2725,1472,2670,2724">el</WORD>
<WORD coords="1520,2746,1837,2673,2730">quebrado</WORD>
<WORD coords="1893,2738,2048,2680,2736">debe</WORD>
<WORD coords="2106,2747,2426,2691,2742">escribirse</WORD>
<WORD coords="2461,2754,2578,2715,2751">con</WORD>
</LINE>
<LINE>
<WORD coords="228,2813,343,2754,2812">dos</WORD>
<WORD coords="391,2820,687,2775,2816">números</WORD>
<WORD coords="738,2823,863,2782,2821">uno</WORD>
<WORD coords="907,2829,1162,2771,2826">.encima</WORD>
<WORD coords="1217,2832,1298,2774,2831">dfe</WORD>
<WORD coords="1351,2836,1490,2788,2834">otro</WORD>
<WORD coords="1539,2844,2044,2779,2839">intermediando</WORD>
<WORD coords="2107,2849,2223,2810,2847">una</WORD>
<WORD coords="2283,2873,2425,2813,2852">raya</WORD>
<WORD coords="2456,2842,2477,2826,2842">.</WORD>
<WORD coords="2522,2865,2602,2804,2862">de</WORD>
</LINE>
<LINE>
<WORD coords="222,2921,415,2864,2920">modo</WORD>
<WORD coords="474,2943,595,2888,2925">que</WORD>
<WORD coords="671,2945,816,2890,2928">para</WORD>
<WORD coords="870,2936,1136,2878,2933">escribir</WORD>
<WORD coords="1201,2940,1380,2882,2939">cinco</WORD>
<WORD coords="1435,2946,1708,2885,2943">ochavos</WORD>
<WORD coords="1783,2949,1860,2891,2948">de</WORD>
<WORD coords="1912,2967,2058,2914,2952">peso</WORD>
<WORD coords="2114,2956,2269,2897,2955">duro</WORD>
<WORD coords="2328,2961,2364,2906,2961">ó</WORD>
<WORD coords="2424,2971,2601,2910,2966">cinco</WORD>
</LINE>
<LINE>
<WORD coords="209,3030,405,2972,3026">leales</WORD>
<WORD coords="433,3047,456,3016,3047">,</WORD>
<WORD coords="502,3031,561,2973,3030">lo</WORD>
<WORD coords="606,3052,951,2981,3034">espresaría</WORD>
<WORD coords="996,3042,1085,2984,3040">asi</WORD>
<WORD coords="1154,3056,1182,2988,3056">f</WORD>
<WORD coords="1226,3048,1245,3029,3048">.</WORD>
<WORD coords="1337,3048,1413,2991,3048">El</WORD>
<WORD coords="1461,3054,1721,3012,3051">numero</WORD>
<WORD coords="1767,3073,1887,3018,3055">que</WORD>
<WORD coords="1933,3058,2059,3005,3056">está</WORD>
<WORD coords="2116,3067,2355,3006,3062">encima</WORD>
<WORD coords="2412,3071,2487,3015,3071">de</WORD>
<WORD coords="2538,3073,2552,3020,3073">l</WORD>
<WORD coords="2564,3079,2600,3040,3079">a</WORD>
</LINE>
<LINE>
<WORD coords="205,3155,355,3091,3134">raya</WORD>
<WORD coords="433,3137,498,3099,3137">se</WORD>
<WORD coords="561,3144,744,3083,3139">llama</WORD>
<WORD coords="795,3152,1160,3092,3147">numerador</WORD>
<WORD coords="1192,3169,1215,3139,3169">%</WORD>
<WORD coords="1267,3168,1378,3116,3154">por</WORD>
<WORD coords="1424,3175,1543,3121,3157">que</WORD>
<WORD coords="1591,3162,1847,3123,3159">numera</WORD>
<WORD coords="1899,3163,1939,3107,3163">ó</WORD>
<WORD coords="1995,3168,2213,3121,3166">cuenta</WORD>
<WORD coords="2253,3171,2340,3114,3170">las</WORD>
<WORD coords="2390,3193,2594,3136,3179">partes</WORD>
</LINE>
<LINE>
<WORD coords="210,3242,291,3182,3241">de</WORD>
<WORD coords="339,3243,395,3186,3241">la</WORD>
<WORD coords="453,3247,688,3189,3246">unidad</WORD>
<WORD coords="718,3265,736,3237,3264">,</WORD>
<WORD coords="789,3251,873,3196,3250">tal</WORD>
<WORD coords="929,3252,994,3217,3251">es</WORD>
<WORD coords="1049,3256,1106,3201,3256">el</WORD>
<WORD coords="1157,3259,1191,3210,3261">5</WORD>
<WORD coords="1224,3261,1237,3225,3262">:</WORD>
<WORD coords="1290,3262,1345,3205,3261">el</WORD>
<WORD coords="1405,3282,1523,3227,3265">que</WORD>
<WORD coords="1574,3268,1701,3212,3265">está</WORD>
<WORD coords="1747,3290,1972,3212,3267">debajo</WORD>
<WORD coords="2030,3272,2096,3235,3271">se</WORD>
<WORD coords="2152,3278,2290,3219,3275">dice</WORD>
<WORD coords="2324,3289,2585,3223,3283">denomi*</WORD>
</LINE>
<LINE>
<WORD coords="210,3354,411,3295,3352">Hedor</WORD>
<WORD coords="439,3371,458,3341,3371">,</WORD>
<WORD coords="502,3377,738,3317,3358">porque</WORD>
<WORD coords="788,3365,1120,3304,3362">denomina</WORD>
<WORD coords="1175,3369,1211,3313,3370">ó</WORD>
<WORD coords="1273,3370,1352,3314,3370">da</WORD>
<WORD coords="1406,3376,1666,3322,3372">nombre</WORD>
<WORD coords="1714,3375,1742,3322,3375">á</WORD>
<WORD coords="1796,3378,1947,3324,3376">cada</WORD>
<WORD coords="2009,3398,2179,3335,3380">parte</WORD>
<WORD coords="2217,3398,2233,3371,3392">,</WORD>
<WORD coords="2278,3387,2368,3332,3386">asi</WORD>
<WORD coords="2428,3390,2491,3353,3389">es</WORD>
<WORD coords="2529,3394,2586,3335,3392">el</WORD>
</LINE>
<LINE>
<WORD coords="207,3454,245,3403,3454">S</WORD>
<WORD coords="291,3476,413,3421,3460">que</WORD>
<WORD coords="470,3468,842,3404,3465">dividiendo</WORD>
<WORD coords="893,3472,948,3415,3471">el</WORD>
<WORD coords="1000,3489,1149,3435,3474">peso</WORD>
<WORD coords="1205,3477,1280,3440,3477">en</WORD>
<WORD coords="1335,3480,1492,3422,3478">ocho</WORD>
<WORD coords="1553,3499,1753,3438,3481">partes</WORD>
<WORD coords="1799,3504,2039,3427,3483">iguales</WORD>
<WORD coords="2077,3500,2093,3474,3493">,</WORD>
<WORD coords="2149,3487,2179,3432,3487">á</WORD>
<WORD coords="2227,3494,2378,3436,3491">cada</WORD>
<WORD coords="2416,3511,2585,3454,3496">paste</WORD>
</LINE>
<LINE>
<WORD coords="206,3564,263,3503,3563">le</WORD>
<WORD coords="310,3566,386,3511,3566">da</WORD>
<WORD coords="429,3571,484,3514,3570">el</WORD>
<WORD coords="529,3581,786,3521,3575">nombre</WORD>
<WORD coords="838,3579,915,3522,3578">de</WORD>
<WORD coords="966,3584,1203,3527,3583">ochavo</WORD>
<WORD coords="1249,3590,1289,3532,3588">ú</WORD>
<WORD coords="1339,3587,1575,3529,3586">ochava</WORD>
<WORD coords="1603,3588,1617,3553,3588">:</WORD>
<WORD coords="1679,3590,1733,3534,3589">el</WORD>
<WORD coords="1794,3595,2168,3538,3591">numerador</WORD>
<WORD coords="2210,3617,2251,3560,3611">y</WORD>
<WORD coords="2299,3605,2579,3544,3600">denomi-</WORD>
</LINE>
<LINE>
<WORD coords="205,3683,408,3626,3681">nador</WORD>
<WORD coords="464,3705,684,3627,3687">juntos</WORD>
<WORD coords="762,3692,827,3654,3691">se</WORD>
<WORD coords="896,3695,1121,3637,3693">llaman</WORD>
<WORD coords="1183,3696,1471,3649,3694">términos</WORD>
<WORD coords="1526,3698,1621,3640,3697">del</WORD>
<WORD coords="1688,3722,2012,3642,3698">quebrado.</WORD>
<WORD coords="2112,3705,2188,3646,3702">El</WORD>
<WORD coords="2244,3706,2431,3650,3704">modo</WORD>
<WORD coords="2497,3712,2574,3657,3710">de</WORD>
</LINE>
<LINE>
<WORD coords="200,3790,330,3731,3789">leer</WORD>
<WORD coords="381,3792,473,3733,3791">los</WORD>
<WORD coords="524,3814,881,3740,3797">quebrados</WORD>
<WORD coords="938,3801,1000,3764,3799">se</WORD>
<WORD coords="1049,3801,1125,3744,3801">ha</WORD>
<WORD coords="1186,3805,1498,3748,3802">enseñado</WORD>
<WORD coords="1547,3804,1617,3768,3804">en</WORD>
<WORD coords="1677,3806,1733,3751,3805">el</WORD>
<WORD coords="1791,3806,1976,3752,3804">modo</WORD>
<WORD coords="2024,3807,2100,3751,3806">de</WORD>
<WORD coords="2159,3812,2282,3755,3810">leer</WORD>
<WORD coords="2329,3815,2415,3761,3813">los</WORD>
<WORD coords="2469,3818,2568,3777,3818">co-</WORD>
</LINE>
<LINE>
<WORD coords="205,3899,438,3839,3896">•ientes</WORD>
<WORD coords="484,3919,601,3864,3902">que</WORD>
<WORD coords="651,3922,984,3849,3904">provienen</WORD>
<WORD coords="1044,3909,1119,3852,3908">de</WORD>
<WORD coords="1167,3909,1406,3853,3908">d/vidir</WORD>
<WORD coords="1461,3910,1545,3857,3909">las</WORD>
<WORD coords="1596,3914,1789,3869,3911">restas</WORD>
<WORD coords="1842,3929,1950,3875,3911">por</WORD>
<WORD coords="2011,3915,2064,3859,3913">ei</WORD>
<WORD coords="2125,3923,2390,3859,3916">divisor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="293,4006,428,3956,4006">102.</WORD>
<WORD coords="525,4012,725,3953,4008">Coro!.</WORD>
<WORD coords="783,4011,861,3955,4010">El</WORD>
<WORD coords="921,4029,1235,3958,4013">quebrado</WORD>
<WORD coords="1279,4035,1495,3961,4015">propio</WORD>
<WORD coords="1554,4039,1820,3967,4018">siempre</WORD>
<WORD coords="1865,4022,2023,3966,4020">tiene</WORD>
<WORD coords="2079,4023,2131,3968,4023">él</WORD>
<WORD coords="2180,4029,2553,3966,4024">numeradoíl</WORD>
</LINE>
<LINE>
<WORD coords="194,4117,410,4071,4116">feenor</WORD>
<WORD coords="456,4137,576,4080,4120">que</WORD>
<WORD coords="627,4122,685,4064,4121">el</WORD>
<WORD coords="757,4125,1208,4063,4122">denominador</WORD>
<WORD coords="1239,4142,1258,4110,4142">,</WORD>
<WORD coords="1306,4147,1456,4087,4127">pues</WORD>
<WORD coords="1513,4130,1577,4088,4129">es</WORD>
<WORD coords="1639,4132,1757,4091,4130">una</WORD>
<WORD coords="1807,4133,2078,4072,4129">división</WORD>
<WORD coords="2134,4130,2422,4071,4127">iudicada</WORD>
<WORD coords="2474,4132,2552,4076,4131">de</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0069.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0070.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0070.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1803,560,1951,471,559">60</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="686,681,770,639,679">un</WORD>
<WORD coords="830,685,1091,638,678">minero</WORD>
<WORD coords="1151,680,1367,640,679">menor</WORD>
<WORD coords="1412,696,1526,639,675">por</WORD>
<WORD coords="1564,680,1698,633,678">otro</WORD>
<WORD coords="1747,705,1962,644,682">mayor</WORD>
<WORD coords="1999,667,2017,651,675">•</WORD>
<WORD coords="2051,684,2109,628,683">el</WORD>
<WORD coords="2149,704,2465,628,685">quebrado</WORD>
<WORD coords="2517,704,2824,630,687">impropio</WORD>
<WORD coords="2866,696,2903,637,696">ó</WORD>
<WORD coords="2947,720,3068,654,695">n|*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="686,792,863,751,790">mero</WORD>
<WORD coords="917,791,1107,728,788">fráe&apos;ci</WORD>
<WORD coords="1152,792,1326,751,790">nano</WORD>
<WORD coords="1371,790,1536,735,786">tiene</WORD>
<WORD coords="1596,789,1655,734,789">el</WORD>
<WORD coords="1701,792,2080,737,790">numerador</WORD>
<WORD coords="2131,815,2298,738,793">igual</WORD>
<WORD coords="2359,795,2395,735,795">ó</WORD>
<WORD coords="2453,817,2665,759,796">mayor</WORD>
<WORD coords="2706,821,2823,765,801">que</WORD>
<WORD coords="2869,800,2921,749,800">e!</WORD>
<WORD coords="2955,806,3064,750,805">de-</WORD>
</LINE>
<LINE>
<WORD coords="687,901,1061,841,897">nominador</WORD>
<WORD coords="1086,915,1104,884,915">f</WORD>
<WORD coords="1166,897,1347,858,896">como</WORD>
<WORD coords="1402,898,1466,860,897">se</WORD>
<WORD coords="1515,897,1587,860,896">ve</WORD>
<WORD coords="1639,896,1715,859,895">en</WORD>
<WORD coords="1776,896,1808,848,899">3</WORD>
<WORD coords="1848,912,1863,886,912">,</WORD>
<WORD coords="1957,913,2041,849,909">5;</WORD>
<WORD coords="2089,918,2238,862,900">pues</WORD>
<WORD coords="2302,903,2434,846,902">solo</WORD>
<WORD coords="2506,906,2583,868,905">en</WORD>
<WORD coords="2640,910,2806,863,908">estos</WORD>
<WORD coords="2861,934,3070,875,912">casos,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1778,1006,1842,925,1006">r</WORD>
<WORD coords="1966,1008,1999,959,1008">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="682,1093,1067,1035,1089">egresando</WORD>
<WORD coords="1126,1098,1327,1046,1090">partes</WORD>
<WORD coords="1387,1093,1465,1034,1092">de</WORD>
<WORD coords="1515,1090,1581,1035,1089">ta</WORD>
<WORD coords="1647,1091,1882,1034,1089">unidad</WORD>
<WORD coords="1914,1106,1928,1078,1106">,</WORD>
<WORD coords="1988,1112,2215,1034,1092">llegará</WORD>
<WORD coords="2270,1092,2301,1037,1093">á</WORD>
<WORD coords="2364,1093,2462,1056,1092">ser</WORD>
<WORD coords="2521,1116,2688,1039,1096">igual</WORD>
<WORD coords="2744,1104,2784,1045,1104">6</WORD>
<WORD coords="2842,1116,3063,1069,1109">mayor</WORD>
</LINE>
<LINE>
<WORD coords="686,1219,805,1161,1196">que</WORD>
<WORD coords="856,1196,910,1145,1195">la</WORD>
<WORD coords="942,1199,1176,1142,1197">unidad</WORD>
<WORD coords="1225,1219,1415,1162,1196">j-egon</WORD>
<WORD coords="1467,1197,1688,1141,1196">hemos</WORD>
<WORD coords="1744,1198,2015,1140,1197">definido</WORD>
<WORD coords="2064,1219,2206,1145,1205">(34)</WORD>
<WORD coords="2259,1198,2311,1143,1197">al</WORD>
<WORD coords="2366,1219,2681,1145,1201">quebrado</WORD>
<WORD coords="2723,1234,3060,1153,1212">impropio,</WORD>
</LINE>
<LINE>
<WORD coords="776,1319,916,1257,1309">103,</WORD>
<WORD coords="1014,1309,1207,1250,1307">CoroL</WORD>
<WORD coords="1259,1305,1445,1247,1303">Todo</WORD>
<WORD coords="1499,1306,1758,1268,1304">numero</WORD>
<WORD coords="1803,1306,1865,1269,1305">se</WORD>
<WORD coords="1929,1323,2126,1249,1304">puede</WORD>
<WORD coords="2178,1321,2364,1266,1303">poner</WORD>
<WORD coords="2411,1306,2485,1270,1306">en</WORD>
<WORD coords="2561,1318,2731,1269,1310">or^a</WORD>
<WORD coords="2779,1317,2854,1261,1316">de</WORD>
<WORD coords="2912,1339,3069,1287,1324">que-</WORD>
</LINE>
<LINE>
<WORD coords="683,1416,883,1359,1413">brado</WORD>
<WORD coords="914,1430,931,1403,1422">,</WORD>
<WORD coords="983,1414,1095,1377,1413">con</WORD>
<WORD coords="1145,1414,1275,1357,1413">solo</WORD>
<WORD coords="1330,1412,1650,1356,1411">escribirle</WORD>
<WORD coords="1710,1412,1737,1362,1413">1</WORD>
<WORD coords="1790,1429,1901,1373,1410">por</WORD>
<WORD coords="1948,1414,2402,1355,1411">denominador</WORD>
<WORD coords="2431,1430,2448,1402,1422">,</WORD>
<WORD coords="2503,1415,2590,1358,1414">asi</WORD>
<WORD coords="2641,1423,2675,1373,1423">8</WORD>
<WORD coords="2723,1440,2942,1383,1426">puesto</WORD>
<WORD coords="2989,1433,3070,1393,1431">en</WORD>
</LINE>
<LINE>
<WORD coords="685,1525,889,1464,1523">furnia</WORD>
<WORD coords="939,1526,1016,1467,1525">de</WORD>
<WORD coords="1072,1542,1388,1464,1522">quebrado</WORD>
<WORD coords="1436,1521,1501,1484,1521">es</WORD>
<WORD coords="1612,1518,1649,1470,1518">S</WORD>
<WORD coords="1705,1536,1728,1485,1531">5</WORD>
<WORD coords="1780,1524,1837,1466,1523">la</WORD>
<WORD coords="1866,1523,2053,1481,1521">razón</WORD>
<WORD coords="2100,1538,2218,1482,1519">es,</WORD>
<WORD coords="2277,1542,2510,1484,1522">porque</WORD>
<WORD coords="2559,1527,2589,1475,1527">á</WORD>
<WORD coords="2636,1532,2787,1474,1530">todo</WORD>
<WORD coords="2848,1541,3070,1497,1537">nume-</WORD>
</LINE>
<LINE>
<WORD coords="1612,1629,1642,1580,1628">1</WORD>
<WORD coords="3019,1625,3049,1576,1625">4</WORD>
</LINE>
<LINE>
<WORD coords="683,1730,756,1690,1729">to</WORD>
<WORD coords="808,1725,873,1688,1724">se</WORD>
<WORD coords="930,1722,983,1666,1721">le</WORD>
<WORD coords="1035,1736,1233,1661,1717">puede</WORD>
<WORD coords="1280,1737,1472,1677,1717">poner</WORD>
<WORD coords="1526,1738,1640,1678,1717">por</WORD>
<WORD coords="1690,1718,1929,1655,1714">divisor</WORD>
<WORD coords="1986,1718,2045,1659,1717">la</WORD>
<WORD coords="2100,1720,2342,1657,1716">unidad</WORD>
<WORD coords="2386,1740,2412,1662,1730">[</WORD>
<WORD coords="2463,1718,2540,1662,1717">70</WORD>
<WORD coords="2584,1736,2611,1659,1729">]</WORD>
<WORD coords="2658,1722,2751,1664,1722">sin</WORD>
<WORD coords="2793,1732,2804,1719,1732">K</WORD>
<WORD coords="2816,1730,2939,1691,1729">«iue</WORD>
<WORD coords="2992,1734,3067,1692,1733">se</WORD>
</LINE>
<LINE>
<WORD coords="681,1841,872,1785,1836">altere</WORD>
<WORD coords="927,1836,998,1799,1835">su</WORD>
<WORD coords="1050,1832,1243,1778,1830">valor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="769,1946,889,1893,1943">104</WORD>
<WORD coords="1006,1943,1200,1883,1940">CoroL</WORD>
<WORD coords="1253,1941,1457,1884,1939">Como</WORD>
<WORD coords="1500,1938,1555,1880,1937">el</WORD>
<WORD coords="1590,1937,1740,1879,1936">todo</WORD>
<WORD coords="1805,1936,1870,1898,1935">es</WORD>
<WORD coords="1919,1956,2086,1878,1935">igual</WORD>
<WORD coords="2120,1935,2175,1878,1934">al</WORD>
<WORD coords="2233,1958,2527,1879,1934">conjunto</WORD>
<WORD coords="2581,1938,2657,1880,1937">de</WORD>
<WORD coords="2707,1942,2811,1903,1940">sus</WORD>
<WORD coords="2855,1961,3068,1900,1945">partes</WORD>
</LINE>
<LINE>
<WORD coords="676,2083,834,2008,2067">fax-</WORD>
<WORD coords="886,2052,918,2001,2049">3</WORD>
<WORD coords="1035,2067,1081,2000,2067">J</WORD>
<WORD coords="1115,2071,1136,2035,2071">f</WORD>
<WORD coords="1166,2049,1228,2013,2048">se</WORD>
<WORD coords="1265,2069,1439,1995,2048">sigue</WORD>
<WORD coords="1486,2063,1603,2008,2044">que</WORD>
<WORD coords="1652,2043,1701,1988,2042">la</WORD>
<WORD coords="1757,2044,1993,1987,2042">unidad</WORD>
<WORD coords="2038,2045,2103,2008,2043">es</WORD>
<WORD coords="2162,2062,2331,1986,2042">igual</WORD>
<WORD coords="2388,2043,2415,2006,2043">a</WORD>
<WORD coords="2463,2045,2545,2007,2044">un</WORD>
<WORD coords="2590,2062,2907,1988,2045">quebrado</WORD>
<WORD coords="2942,2070,3067,2013,2052">que</WORD>
</LINE>
<LINE>
<WORD coords="680,2185,870,2124,2165">tenga</WORD>
<WORD coords="930,2181,1168,2104,2158">iguales</WORD>
<WORD coords="1216,2158,1273,2102,2157">el</WORD>
<WORD coords="1328,2157,1702,2097,2153">numerador</WORD>
<WORD coords="1747,2172,1787,2116,2165">y</WORD>
<WORD coords="1859,2159,2357,2095,2153">denominador;</WORD>
<WORD coords="2424,2154,2519,2096,2153">asi</WORD>
<WORD coords="2574,2154,2695,2113,2153">una</WORD>
<WORD coords="2765,2156,2911,2115,2154">vara</WORD>
<WORD coords="2983,2161,3052,2119,2160">ea</WORD>
</LINE>
<LINE>
<WORD coords="681,2297,854,2217,2274">igual</WORD>
<WORD coords="904,2271,934,2220,2270">á</WORD>
<WORD coords="1027,2270,1053,2220,2270">1</WORD>
<WORD coords="1094,2285,1109,2258,2277">,</WORD>
<WORD coords="1195,2270,1230,2222,2270">2</WORD>
<WORD coords="1264,2283,1281,2256,2276">,</WORD>
<WORD coords="1370,2264,1402,2215,2268">3</WORD>
<WORD coords="1436,2282,1452,2226,2282">;</WORD>
<WORD coords="1541,2304,1596,2215,2280">8^</WORD>
<WORD coords="1628,2269,1740,2206,2267">&amp;c.</WORD>
</LINE>
<LINE>
<WORD coords="1036,2380,1092,2298,2378">7</WORD>
<WORD coords="1203,2377,1242,2330,2376">2</WORD>
<WORD coords="1374,2371,1427,2296,2351">3~</WORD>
<WORD coords="1540,2370,1577,2320,2370">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="665,2483,674,2440,2476">,</WORD>
<WORD coords="770,2469,909,2416,2465">105.</WORD>
<WORD coords="999,2464,1260,2407,2462">Escolio,</WORD>
<WORD coords="1349,2460,1600,2395,2459">Todas&quot;&quot;</WORD>
<WORD coords="1623,2457,1712,2402,2457">las</WORD>
<WORD coords="1764,2456,2073,2397,2455">verdades</WORD>
<WORD coords="2143,2453,2571,2391,2451">demostradas</WORD>
<WORD coords="2624,2476,2907,2410,2456">respecto</WORD>
<WORD coords="2977,2461,3058,2400,2460">de</WORD>
</LINE>
<LINE>
<WORD coords="679,2586,777,2523,2582">los</WORD>
<WORD coords="834,2577,1134,2518,2573">términos</WORD>
<WORD coords="1184,2573,1261,2516,2572">de</WORD>
<WORD coords="1318,2570,1377,2515,2568">la</WORD>
<WORD coords="1433,2571,1703,2513,2569">división</WORD>
<WORD coords="1749,2589,1793,2532,2579">y</WORD>
<WORD coords="1831,2568,1888,2515,2567">ei</WORD>
<WORD coords="1939,2569,2215,2511,2566">cociente</WORD>
<WORD coords="2251,2582,2267,2554,2575">,</WORD>
<WORD coords="2318,2566,2380,2531,2565">se</WORD>
<WORD coords="2457,2566,2651,2509,2564">deben</WORD>
<WORD coords="2730,2584,2957,2509,2563">aplicar</WORD>
<WORD coords="3025,2566,3059,2508,2566">á</WORD>
</LINE>
<LINE>
<WORD coords="687,2693,782,2635,2691">los</WORD>
<WORD coords="842,2707,1193,2632,2689">quebrados</WORD>
<WORD coords="1224,2703,1241,2676,2686">,</WORD>
<WORD coords="1291,2686,1402,2647,2685">con</WORD>
<WORD coords="1460,2684,1517,2629,2683">la</WORD>
<WORD coords="1568,2684,1911,2624,2681">diferencia</WORD>
<WORD coords="1972,2683,2049,2627,2681">de</WORD>
<WORD coords="2103,2685,2239,2630,2684">solo</WORD>
<WORD coords="2293,2684,2511,2628,2682">mudar</WORD>
<WORD coords="2587,2680,2677,2627,2678">los</WORD>
<WORD coords="2741,2685,3058,2616,2670">nombres;</WORD>
</LINE>
<LINE>
<WORD coords="673,2801,713,2744,2800">á</WORD>
<WORD coords="771,2799,947,2744,2798">saber</WORD>
<WORD coords="975,2810,991,2786,2804">,</WORD>
<WORD coords="1034,2798,1092,2740,2797">el</WORD>
<WORD coords="1133,2797,1210,2741,2797">de</WORD>
<WORD coords="1267,2795,1610,2738,2793">dividendo</WORD>
<WORD coords="1656,2789,1730,2752,2788">en</WORD>
<WORD coords="1775,2791,1830,2735,2789">el</WORD>
<WORD coords="1881,2790,1958,2734,2790">de</WORD>
<WORD coords="2004,2805,2402,2739,2792">numerador,</WORD>
<WORD coords="2449,2790,2502,2735,2789">el</WORD>
<WORD coords="2558,2787,2634,2731,2787">de</WORD>
<WORD coords="2686,2785,2924,2727,2781">divisor</WORD>
<WORD coords="2972,2779,3049,2741,2779">ea</WORD>
</LINE>
<LINE>
<WORD coords="684,2916,1144,2854,2913">denominador</WORD>
<WORD coords="1199,2929,1241,2872,2918">y</WORD>
<WORD coords="1284,2907,1340,2852,2907">el</WORD>
<WORD coords="1386,2906,1463,2851,2906">de</WORD>
<WORD coords="1521,2903,1798,2847,2901">cociente</WORD>
<WORD coords="1855,2898,1927,2862,2898">en</WORD>
<WORD coords="1974,2899,2026,2843,2894">el</WORD>
<WORD coords="2080,2899,2156,2845,2898">de</WORD>
<WORD coords="2222,2918,2561,2842,2899">quebrado.</WORD>
<WORD coords="2610,2911,2916,2838,2889">Supuesto</WORD>
<WORD coords="2957,2887,3056,2848,2886">es*</WORD>
</LINE>
<LINE>
<WORD coords="665,3036,795,2978,3022">■to,</WORD>
<WORD coords="841,3022,1244,2963,3018">enunciamos</WORD>
<WORD coords="1295,3014,1384,2959,3013">las</WORD>
<WORD coords="1434,3033,1773,2956,3009">siguientes</WORD>
<WORD coords="1827,3028,2312,2951,3006">proposiciones.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="767,3130,883,3077,3127">106</WORD>
<WORD coords="1001,3127,1026,3077,3124">1</WORD>
<WORD coords="1078,3116,1115,3071,3116">*</WORD>
<WORD coords="1172,3124,1236,3069,3123">Si</WORD>
<WORD coords="1285,3144,1784,3061,3118">permaneciendo</WORD>
<WORD coords="1841,3116,1959,3078,3116">uno</WORD>
<WORD coords="2010,3115,2216,3061,3113">mismo</WORD>
<WORD coords="2273,3113,2327,3058,3113">el</WORD>
<WORD coords="2355,3114,2784,3054,3111">denominador</WORD>
<WORD coords="2809,3120,2825,3095,3114">,</WORD>
<WORD coords="2873,3104,2928,3048,3103">el</WORD>
<WORD coords="2955,3101,3065,3060,3101">nu-</WORD>
</LINE>
<LINE>
<WORD coords="683,3240,967,3180,3236">merador</WORD>
<WORD coords="1027,3233,1091,3196,3232">se</WORD>
<WORD coords="1151,3250,1491,3173,3228">multiplica</WORD>
<WORD coords="1538,3228,1571,3190,3228">a</WORD>
<WORD coords="1603,3247,1792,3178,3224">parte</WORD>
<WORD coords="1838,3245,1956,3178,3222">por</WORD>
<WORD coords="2025,3225,2103,3184,3224">un</WORD>
<WORD coords="2153,3222,2396,3184,3220">numero</WORD>
<WORD coords="2429,3233,2442,3210,3228">,</WORD>
<WORD coords="2473,3220,2526,3166,3218">el</WORD>
<WORD coords="2573,3244,2871,3159,3217">quebrado</WORD>
<WORD coords="2924,3237,3065,3175,3213">que-</WORD>
</LINE>
<LINE>
<WORD coords="685,3346,847,3290,3342">dara</WORD>
<WORD coords="911,3360,1329,3278,3334">multiplicado</WORD>
<WORD coords="1393,3334,1422,3297,3334">o</WORD>
<WORD coords="1461,3355,1721,3276,3331">partido</WORD>
<WORD coords="1774,3353,1892,3286,3329">por</WORD>
<WORD coords="1962,3327,2016,3275,3326">el</WORD>
<WORD coords="2066,3331,2271,3275,3329">mhmo</WORD>
<WORD coords="2317,3326,2563,3290,3325">numero</WORD>
<WORD coords="2621,3348,2761,3268,3334">(94)</WORD>
<WORD coords="2800,3335,2816,3291,3332">;</WORD>
<WORD coords="2881,3322,2938,3285,3321">v.</WORD>
<WORD coords="3011,3339,3071,3284,3331">g.</WORD>
</LINE>
<LINE>
<WORD coords="680,3452,739,3395,3452">si</WORD>
<WORD coords="784,3451,855,3415,3451">en</WORD>
<WORD coords="933,3452,973,3402,3450">4</WORD>
<WORD coords="1007,3447,1083,3393,3446">de</WORD>
<WORD coords="1131,3464,1277,3407,3443">peso</WORD>
<WORD coords="1302,3444,1457,3387,3442">duro</WORD>
<WORD coords="1485,3443,1520,3386,3443">ó</WORD>
<WORD coords="1550,3444,1760,3394,3439">cuatro</WORD>
<WORD coords="1797,3440,1990,3383,3437">reales</WORD>
<WORD coords="2025,3454,2369,3382,3435">multiplico</WORD>
<WORD coords="2402,3435,2458,3380,3432">el</WORD>
<WORD coords="2488,3433,2864,3378,3429">numerador</WORD>
<WORD coords="2889,3428,2929,3383,3432">4</WORD>
<WORD coords="2958,3443,3066,3383,3423">por</WORD>
</LINE>
<LINE>
<WORD coords="911,3559,972,3488,3528">&quot;8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="681,3686,761,3621,3678">2,</WORD>
<WORD coords="790,3674,1012,3611,3669">tendré</WORD>
<WORD coords="1092,3670,1126,3620,3668">8</WORD>
<WORD coords="1185,3665,1225,3608,3665">ú</WORD>
<WORD coords="1279,3665,1437,3604,3661">ocho</WORD>
<WORD coords="1482,3663,1677,3604,3661">reales</WORD>
<WORD coords="1734,3678,1851,3618,3659">que</WORD>
<WORD coords="1911,3656,1976,3619,3655">es</WORD>
<WORD coords="2028,3655,2064,3606,3655">2</WORD>
<WORD coords="2116,3653,2296,3613,3652">veces</WORD>
<WORD coords="2355,3672,2566,3612,3651">mayor</WORD>
<WORD coords="2624,3668,2742,3611,3648">que</WORD>
<WORD coords="2793,3647,2848,3590,3645">el</WORD>
<WORD coords="2914,3661,3064,3602,3641">que-</WORD>
</LINE>
<LINE>
<WORD coords="1093,3775,1126,3728,3775">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="691,3866,891,3805,3862">b&gt;ado</WORD>
<WORD coords="945,3876,1253,3801,3855">primiíivr</WORD>
<WORD coords="1285,3869,1308,3823,3869">é</WORD>
<WORD coords="1360,3875,1396,3820,3866">y</WORD>
<WORD coords="1447,3856,1498,3799,3855">si</WORD>
<WORD coords="1541,3855,1616,3796,3853">el,</WORD>
<WORD coords="1658,3852,2034,3790,3847">numerador</WORD>
<WORD coords="2080,3863,2252,3797,3842">parto</WORD>
<WORD coords="2303,3861,2416,3804,3842">por</WORD>
<WORD coords="2468,3860,2558,3792,3850">2,</WORD>
<WORD coords="2623,3840,2842,3781,3837">tendré</WORD>
<WORD coords="2929,3835,2967,3785,3841">2</WORD>
<WORD coords="3036,3830,3080,3792,3830">o</WORD>
</LINE>
<LINE>
<WORD coords="686,3975,805,3919,3971">dns</WORD>
<WORD coords="853,3969,1046,3913,3966">véales</WORD>
<WORD coords="1077,3979,1092,3954,3972">,</WORD>
<WORD coords="1153,3965,1188,3919,3965">2</WORD>
<WORD coords="1245,3967,1424,3925,3964">veces</WORD>
<WORD coords="1475,3962,1689,3923,3959">menor</WORD>
<WORD coords="1740,3978,1856,3924,3958">que</WORD>
<WORD coords="1917,3954,1972,3901,3953">el</WORD>
<WORD coords="2022,3973,2366,3896,3954">primitivo.</WORD>
<WORD coords="2866,3956,2868,3953,3958">.</WORD>
<WORD coords="2923,3940,2957,3893,3940">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="780,4082,918,4026,4079">107.</WORD>
<WORD coords="1015,4078,1213,4016,4076">CqiqL</WORD>
<WORD coords="1259,4099,1497,4016,4073">Luego,</WORD>
<WORD coords="1530,4074,1606,4015,4074">de</WORD>
<WORD coords="1660,4073,1919,4011,4069">muchos</WORD>
<WORD coords="1975,4085,2321,4005,4063">quebiadoa</WORD>
<WORD coords="2380,4082,2499,4023,4063">que</WORD>
<WORD coords="2546,4064,2752,4003,4060">tienen</WORD>
<WORD coords="2805,4055,2886,4013,4053">un</WORD>
<WORD coords="2934,4101,3081,4004,4050">mi|-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0070.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0071.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0071.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1284,592,1424,500,591">61</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="164,727,273,685,723">Bio</WORD>
<WORD coords="326,720,780,656,715">denominador</WORD>
<WORD coords="813,731,831,695,729">,</WORD>
<WORD coords="880,727,1065,650,709">aquel</WORD>
<WORD coords="1119,712,1256,670,711">s*ra</WORD>
<WORD coords="1311,726,1525,668,705">mayor</WORD>
<WORD coords="1578,724,1698,669,708">que</WORD>
<WORD coords="1750,708,1921,650,706">tiene</WORD>
<WORD coords="1988,728,2213,665,706">mayor</WORD>
<WORD coords="2258,707,2547,663,705">numera-</WORD>
</LINE>
<LINE>
<WORD coords="164,836,278,779,834">dos</WORD>
<WORD coords="310,847,327,801,840">;</WORD>
<WORD coords="356,834,432,770,834">de</WORD>
<WORD coords="486,830,575,777,829">los</WORD>
<WORD coords="609,850,956,772,827">quebrados</WORD>
<WORD coords="1005,822,1033,769,822">1</WORD>
<WORD coords="1072,838,1093,805,830">,</WORD>
<WORD coords="1189,820,1225,774,821">2</WORD>
<WORD coords="1266,837,1280,807,830">,</WORD>
<WORD coords="1355,817,1391,756,821">&amp;</WORD>
<WORD coords="1436,818,1493,759,816">ei</WORD>
<WORD coords="1541,837,1762,778,816">mayor</WORD>
<WORD coords="1818,817,1883,779,816">es</WORD>
<WORD coords="1972,814,2029,765,813">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="987,934,1040,850,932">7*</WORD>
<WORD coords="1176,928,1219,877,928">«</WORD>
<WORD coords="1341,928,1386,851,908">&quot;8</WORD>
<WORD coords="1975,918,2031,842,890">8*</WORD>
</LINE>
<LINE>
<WORD coords="250,1052,389,1000,1050">108.</WORD>
<WORD coords="475,1050,514,1001,1042">2</WORD>
<WORD coords="564,1028,602,994,1028">58</WORD>
<WORD coords="659,1045,729,989,1044">o&quot;i</WORD>
<WORD coords="764,1065,1266,978,1039">permaneciendo</WORD>
<WORD coords="1305,1035,1428,996,1034">uno</WORD>
<WORD coords="1474,1033,1681,976,1032">mismo</WORD>
<WORD coords="1736,1031,1793,972,1030">el</WORD>
<WORD coords="1840,1029,2206,968,1027">numerador</WORD>
<WORD coords="2232,1043,2248,1014,1038">,</WORD>
<WORD coords="2285,1025,2348,987,1025">sf</WORD>
<WORD coords="2390,1025,2549,966,1024">muí»</WORD>
</LINE>
<LINE>
<WORD coords="168,1181,380,1102,1158">ttplica</WORD>
<WORD coords="444,1157,500,1102,1156">el</WORD>
<WORD coords="548,1155,984,1093,1151">denominador</WORD>
<WORD coords="1031,1168,1149,1100,1143">por</WORD>
<WORD coords="1203,1146,1289,1101,1144">un</WORD>
<WORD coords="1345,1140,1595,1100,1138">numero</WORD>
<WORD coords="1659,1158,2014,1080,1134">cualquiera</WORD>
<WORD coords="2047,1149,2065,1120,1145">,</WORD>
<WORD coords="2122,1134,2178,1078,1133">el</WORD>
<WORD coords="2238,1156,2544,1072,1130">quebrado</WORD>
</LINE>
<LINE>
<WORD coords="167,1271,232,1230,1266">*e</WORD>
<WORD coords="289,1266,487,1207,1264">habm</WORD>
<WORD coords="527,1284,783,1202,1260">partido</WORD>
<WORD coords="820,1279,940,1211,1256">por</WORD>
<WORD coords="987,1254,1041,1197,1254">el</WORD>
<WORD coords="1093,1252,1301,1210,1249">mismo</WORD>
<WORD coords="1345,1247,1593,1206,1244">numero</WORD>
<WORD coords="1628,1256,1643,1211,1256">;</WORD>
<WORD coords="1700,1262,1739,1205,1255">y</WORD>
<WORD coords="1781,1242,1839,1187,1242">si</WORD>
<WORD coords="1899,1242,1954,1185,1241">el</WORD>
<WORD coords="1995,1240,2428,1180,1237">denominador</WORD>
<WORD coords="2475,1236,2543,1198,1235">se</WORD>
</LINE>
<LINE>
<WORD coords="148,1401,337,1330,1372">parte</WORD>
<WORD coords="379,1393,497,1327,1370">por</WORD>
<WORD coords="556,1368,638,1329,1367">un</WORD>
<WORD coords="683,1365,931,1323,1363">numero</WORD>
<WORD coords="961,1377,979,1348,1369">,</WORD>
<WORD coords="1034,1361,1090,1303,1360">el</WORD>
<WORD coords="1131,1382,1437,1296,1355">quebrado</WORD>
<WORD coords="1471,1353,1536,1314,1352">se</WORD>
<WORD coords="1593,1352,1789,1293,1351">habrá</WORD>
<WORD coords="1845,1369,2256,1289,1347">multiplicado</WORD>
<WORD coords="2305,1366,2428,1300,1344">por</WORD>
<WORD coords="2488,1343,2547,1284,1342">el</WORD>
</LINE>
<LINE>
<WORD coords="151,1484,365,1441,1482">mismo</WORD>
<WORD coords="411,1479,661,1436,1475">mmero</WORD>
<WORD coords="698,1495,745,1422,1485">(</WORD>
<WORD coords="790,1469,866,1416,1471">05</WORD>
<WORD coords="914,1485,991,1409,1485">J.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="413,1586,539,1527,1584">Por</WORD>
<WORD coords="596,1602,862,1520,1578">ejemplo</WORD>
<WORD coords="896,1574,911,1537,1574">:</WORD>
<WORD coords="994,1581,1072,1515,1573">5i</WORD>
<WORD coords="1122,1574,1199,1532,1572">en</WORD>
<WORD coords="1243,1572,1308,1513,1571">*1</WORD>
<WORD coords="1364,1590,1681,1507,1567">quebrado</WORD>
<WORD coords="1750,1565,1784,1516,1566">3</WORD>
<WORD coords="1814,1566,1890,1508,1566">de</WORD>
<WORD coords="1939,1584,2087,1525,1564">peso</WORD>
<WORD coords="2143,1562,2182,1505,1565">ó</WORD>
<WORD coords="2232,1560,2358,1513,1558">tres</WORD>
<WORD coords="2403,1556,2539,1514,1556">rea-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1749,1673,1794,1597,1640">8*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="152,1784,246,1725,1784">lea</WORD>
<WORD coords="317,1796,668,1717,1776">multiplico</WORD>
<WORD coords="731,1772,795,1712,1771">el</WORD>
<WORD coords="869,1769,1322,1705,1766">denominador</WORD>
<WORD coords="1403,1763,1437,1712,1763">8</WORD>
<WORD coords="1501,1780,1614,1720,1759">por</WORD>
<WORD coords="1673,1759,1709,1702,1760">2</WORD>
<WORD coords="1739,1778,1761,1745,1770">,</WORD>
<WORD coords="1831,1758,2047,1696,1755">tendré</WORD>
<WORD coords="2119,1751,2154,1701,1756">3</WORD>
<WORD coords="2186,1749,2262,1691,1748">de</WORD>
<WORD coords="2295,1766,2444,1705,1744">peso</WORD>
<WORD coords="2493,1744,2536,1684,1744">ó</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2094,1859,2169,1806,1858">16</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="154,1976,285,1925,1973">tres</WORD>
<WORD coords="343,1972,589,1911,1968">medios</WORD>
<WORD coords="662,1979,906,1907,1963">reales,</WORD>
<WORD coords="965,1979,1085,1921,1959">que</WORD>
<WORD coords="1144,1957,1213,1918,1956">es</WORD>
<WORD coords="1275,1957,1312,1907,1955">2</WORD>
<WORD coords="1381,1954,1564,1914,1952">veces</WORD>
<WORD coords="1634,1951,1848,1907,1948">menor</WORD>
<WORD coords="1914,1961,2034,1903,1943">que</WORD>
<WORD coords="2099,1940,2155,1885,1938">el</WORD>
<WORD coords="2212,1953,2536,1873,1931">primitivo</WORD>
</LINE>
<LINE>
<WORD coords="151,2082,282,2034,2079">tres</WORD>
<WORD coords="339,2076,538,2019,2073">reales</WORD>
<WORD coords="576,2087,594,2040,2087">;</WORD>
<WORD coords="650,2091,760,2033,2069">por</WORD>
<WORD coords="816,2068,874,2012,2068">el</WORD>
<WORD coords="933,2065,1244,2007,2063">contrario</WORD>
<WORD coords="1281,2075,1297,2049,2067">,</WORD>
<WORD coords="1368,2059,1418,2003,2059">si</WORD>
<WORD coords="1469,2078,1642,2013,2057">parto</WORD>
<WORD coords="1701,2055,1756,2000,2054">el</WORD>
<WORD coords="1811,2052,2263,1986,2047">denominador</WORD>
<WORD coords="2325,2040,2357,1990,2049">8</WORD>
<WORD coords="2424,2058,2539,1998,2040">por</WORD>
</LINE>
<LINE>
<WORD coords="152,2187,194,2136,2187">2</WORD>
<WORD coords="227,2199,245,2172,2191">,</WORD>
<WORD coords="265,2184,482,2126,2182">tendré</WORD>
<WORD coords="521,2177,555,2129,2177">3</WORD>
<WORD coords="643,2179,721,2121,2179">de</WORD>
<WORD coords="805,2196,951,2137,2176">peso</WORD>
<WORD coords="986,2191,1072,2115,2177">,¿</WORD>
<WORD coords="1131,2170,1163,2119,2170">3</WORD>
<WORD coords="1223,2189,1463,2122,2168">pesetas</WORD>
<WORD coords="1510,2164,1551,2108,2164">ó</WORD>
<WORD coords="1605,2163,1642,2110,2164">6</WORD>
<WORD coords="1674,2163,1870,2104,2161">reales</WORD>
<WORD coords="1907,2177,1926,2144,2171">,</WORD>
<WORD coords="1943,2159,2213,2112,2154">numero</WORD>
<WORD coords="2258,2149,2296,2099,2157">2</WORD>
<WORD coords="2349,2149,2542,2102,2147">veces</WORD>
</LINE>
<LINE>
<WORD coords="527,2289,570,2238,2289">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="154,2395,393,2332,2376">mayor</WORD>
<WORD coords="437,2389,557,2332,2370">que</WORD>
<WORD coords="611,2369,667,2311,2368">el</WORD>
<WORD coords="731,2385,1049,2304,2363">quebrado</WORD>
<WORD coords="1097,2379,1418,2301,2358">primitivo</WORD>
<WORD coords="1476,2351,1509,2301,2356">3</WORD>
<WORD coords="1558,2353,1782,2296,2352">reales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="409,2482,607,2419,2479">Oorcl.</WORD>
<WORD coords="701,2475,817,2417,2469">1.°</WORD>
<WORD coords="928,2489,1152,2411,2467">Luego</WORD>
<WORD coords="1200,2465,1277,2409,2465">de</WORD>
<WORD coords="1338,2465,1599,2405,2462">muchos</WORD>
<WORD coords="1658,2477,2005,2397,2455">quebrados</WORD>
<WORD coords="2044,2468,2163,2412,2453">que</WORD>
<WORD coords="2217,2449,2422,2391,2446">tienen</WORD>
<WORD coords="2449,2445,2537,2403,2444">un</WORD>
</LINE>
<LINE>
<WORD coords="149,2595,378,2534,2590">mismo</WORD>
<WORD coords="409,2588,786,2525,2583">numerador</WORD>
<WORD coords="815,2597,834,2566,2597">,</WORD>
<WORD coords="864,2598,1047,2519,2578">aquel</WORD>
<WORD coords="1091,2577,1158,2537,2576">es</WORD>
<WORD coords="1200,2592,1416,2531,2571">mayor</WORD>
<WORD coords="1450,2587,1566,2531,2568">que</WORD>
<WORD coords="1598,2568,1760,2511,2566">tiene</WORD>
<WORD coords="1806,2565,2022,2524,2563">menor</WORD>
<WORD coords="2054,2559,2531,2495,2554">denominador:</WORD>
</LINE>
<LINE>
<WORD coords="176,2705,251,2663,2703">en</WORD>
<WORD coords="298,2702,390,2643,2700">los</WORD>
<WORD coords="436,2699,472,2652,2699">2</WORD>
<WORD coords="507,2718,524,2687,2709">,</WORD>
<WORD coords="599,2701,634,2652,2701">2</WORD>
<WORD coords="659,2710,675,2683,2701">,</WORD>
<WORD coords="772,2692,808,2643,2692">2</WORD>
<WORD coords="845,2707,861,2678,2698">,</WORD>
<WORD coords="888,2690,949,2633,2689">el</WORD>
<WORD coords="992,2709,1207,2647,2688">mayor</WORD>
<WORD coords="1262,2705,1578,2622,2682">quebrado</WORD>
<WORD coords="1611,2680,1676,2639,2679">es</WORD>
<WORD coords="1722,2680,1783,2627,2680">2.</WORD>
<WORD coords="1814,2675,1850,2625,2678">2</WORD>
<WORD coords="1878,2654,1913,2617,2668">°</WORD>
<WORD coords="1940,2692,2160,2614,2672">Luego</WORD>
<WORD coords="2196,2686,2338,2627,2667">para</WORD>
<WORD coords="2367,2665,2531,2603,2662">mui-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="424,2811,465,2762,2810">8</WORD>
<WORD coords="593,2809,631,2760,2806">5</WORD>
<WORD coords="772,2796,808,2745,2795">3</WORD>
<WORD coords="1734,2783,1769,2733,2783">3</WORD>
</LINE>
<LINE>
<WORD coords="148,2940,396,2863,2920">tiplicar</WORD>
<WORD coords="466,2919,549,2880,2918">un</WORD>
<WORD coords="598,2934,915,2851,2911">quebrado</WORD>
<WORD coords="960,2925,1074,2866,2904">por</WORD>
<WORD coords="1146,2903,1220,2864,2902">su</WORD>
<WORD coords="1293,2900,1746,2835,2895">denominador</WORD>
<WORD coords="1778,2905,1796,2878,2901">,</WORD>
<WORD coords="1837,2888,1917,2850,2887">no</WORD>
<WORD coords="1974,2885,2168,2827,2884">habrá</WORD>
<WORD coords="2225,2882,2353,2843,2880">mas</WORD>
<WORD coords="2409,2896,2536,2835,2878">que</WORD>
</LINE>
<LINE>
<WORD coords="150,3047,509,2967,3025">suprimirle</WORD>
<WORD coords="560,3022,621,2965,3021">el</WORD>
<WORD coords="672,3024,1165,2957,3015">denominador;</WORD>
<WORD coords="1224,3008,1313,2949,3007">asi</WORD>
<WORD coords="1378,3025,1523,2964,3003">para</WORD>
<WORD coords="1578,3018,1953,2939,2996">multiplicar</WORD>
<WORD coords="2013,2992,2072,2934,2991">el</WORD>
<WORD coords="2129,3009,2451,2927,2985">quebrado</WORD>
<WORD coords="2487,2983,2523,2930,2983">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="154,3235,269,3176,3213">por</WORD>
<WORD coords="318,3211,351,3163,3211">8</WORD>
<WORD coords="383,3223,398,3198,3223">,</WORD>
<WORD coords="452,3227,786,3148,3205">suprimiré</WORD>
<WORD coords="827,3203,886,3146,3202">el</WORD>
<WORD coords="932,3200,967,3151,3200">8</WORD>
<WORD coords="1022,3220,1062,3163,3209">y</WORD>
<WORD coords="1110,3199,1168,3141,3198">el</WORD>
<WORD coords="1218,3216,1522,3136,3191">producto</WORD>
<WORD coords="1570,3187,1706,3146,3185">sera</WORD>
<WORD coords="1766,3182,1797,3133,3186">3</WORD>
<WORD coords="1835,3198,1849,3150,3194">;</WORD>
<WORD coords="1883,3184,1941,3125,3182">la</WORD>
<WORD coords="1996,3179,2188,3140,3177">razón</WORD>
<WORD coords="2221,3175,2286,3137,3174">es</WORD>
<WORD coords="2320,3186,2337,3159,3188">,</WORD>
<WORD coords="2384,3189,2534,3129,3168">por.</WORD>
</LINE>
<LINE>
<WORD coords="150,3342,278,3286,3324">que</WORD>
<WORD coords="330,3321,696,3259,3316">dividiendo</WORD>
<WORD coords="755,3311,810,3256,3310">el</WORD>
<WORD coords="868,3310,1320,3249,3307">denominador</WORD>
<WORD coords="1385,3300,1420,3252,3300">8</WORD>
<WORD coords="1470,3320,1578,3258,3297">por</WORD>
<WORD coords="1612,3297,1662,3238,3296">si</WORD>
<WORD coords="1723,3295,1948,3239,3293">mismo</WORD>
<WORD coords="1985,3304,2000,3279,3301">,</WORD>
<WORD coords="2031,3289,2111,3231,3288">da</WORD>
<WORD coords="2155,3286,2232,3228,3285">de</WORD>
<WORD coords="2286,3278,2531,3237,3276">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="153,3430,216,3385,3429">te</WORD>
<WORD coords="281,3430,306,3381,3430">1</WORD>
<WORD coords="349,3444,368,3416,3444">,</WORD>
<WORD coords="416,3446,536,3387,3425">que</WORD>
<WORD coords="582,3421,659,3383,3419">en</WORD>
<WORD coords="709,3419,819,3380,3417">vez</WORD>
<WORD coords="885,3417,963,3362,3417">de</WORD>
<WORD coords="1028,3427,1411,3355,3412">escribirlo,</WORD>
<WORD coords="1462,3406,1523,3351,3405">lo</WORD>
<WORD coords="1589,3408,2190,3341,3399">sobrentendemos,</WORD>
<WORD coords="2267,3408,2420,3346,3385">pues</WORD>
<WORD coords="2468,3384,2526,3326,3382">la</WORD>
</LINE>
<LINE>
<WORD coords="156,3539,395,3480,3536">unidad</WORD>
<WORD coords="440,3533,504,3497,3532">es</WORD>
<WORD coords="558,3530,1015,3469,3524">denominador</WORD>
<WORD coords="1055,3520,1132,3465,3519">de</WORD>
<WORD coords="1178,3517,1329,3458,3515">todo</WORD>
<WORD coords="1388,3513,1670,3472,3510">numero.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="408,3641,604,3580,3637">Coral.</WORD>
<WORD coords="642,3633,698,3585,3627">3.</WORD>
<WORD coords="725,3613,761,3577,3614">°</WORD>
<WORD coords="824,3630,977,3576,3629">Para</WORD>
<WORD coords="1029,3627,1268,3568,3624">dividir</WORD>
<WORD coords="1301,3621,1380,3584,3620">un</WORD>
<WORD coords="1420,3636,1742,3557,3615">quebrado</WORD>
<WORD coords="1774,3631,1887,3570,3609">por</WORD>
<WORD coords="1920,3608,1998,3569,3606">un</WORD>
<WORD coords="2031,3604,2249,3557,3601">entero</WORD>
<WORD coords="2287,3615,2302,3589,3615">,</WORD>
<WORD coords="2328,3614,2366,3561,3615">y</WORD>
<WORD coords="2402,3595,2539,3546,3594">este</WORD>
</LINE>
<LINE>
<WORD coords="151,3747,428,3689,3744">cociente</WORD>
<WORD coords="486,3761,595,3704,3741">por</WORD>
<WORD coords="643,3739,779,3696,3736">otro</WORD>
<WORD coords="825,3737,1037,3691,3734">entero</WORD>
<WORD coords="1082,3752,1120,3696,3741">y</WORD>
<WORD coords="1149,3730,1237,3674,3729">asi</WORD>
<WORD coords="1271,3728,1346,3690,3727">en</WORD>
<WORD coords="1378,3724,1664,3667,3721">adelante</WORD>
<WORD coords="1697,3736,1714,3705,3729">,</WORD>
<WORD coords="1745,3717,1810,3681,3716">se</WORD>
<WORD coords="1869,3727,2277,3649,3708">multiplicará</WORD>
<WORD coords="2337,3702,2392,3647,3701">el</WORD>
<WORD coords="2427,3701,2536,3645,3700">de-</WORD>
</LINE>
<LINE>
<WORD coords="160,3852,534,3794,3849">nominador</WORD>
<WORD coords="569,3864,679,3810,3845">por</WORD>
<WORD coords="711,3843,763,3790,3842">el</WORD>
<WORD coords="801,3860,1105,3785,3839">producto</WORD>
<WORD coords="1149,3836,1226,3783,3835">de</WORD>
<WORD coords="1276,3833,1367,3780,3831">los</WORD>
<WORD coords="1422,3831,1663,3785,3827">enteros</WORD>
<WORD coords="1691,3850,1797,3771,3830">[93</WORD>
<WORD coords="1857,3822,1996,3765,3820">Cor.</WORD>
<WORD coords="2027,3817,2085,3767,3820">3.</WORD>
<WORD coords="2115,3794,2146,3760,3794">c</WORD>
<WORD coords="2177,3832,2242,3755,3829">];</WORD>
<WORD coords="2278,3806,2325,3771,3805">si</WORD>
<WORD coords="2361,3821,2535,3763,3803">quie-</WORD>
</LINE>
<LINE>
<WORD coords="157,3959,228,3915,3957">to</WORD>
<WORD coords="251,3976,281,3943,3968">*</WORD>
<WORD coords="321,3960,380,3922,3960">v.</WORD>
<WORD coords="436,3980,499,3921,3964">g.</WORD>
<WORD coords="534,3957,774,3895,3954">dividir</WORD>
<WORD coords="827,3946,859,3898,3946">3</WORD>
<WORD coords="951,3970,1061,3909,3947">por</WORD>
<WORD coords="1116,3945,1152,3897,3945">2</WORD>
<WORD coords="1197,3962,1235,3905,3950">y</WORD>
<WORD coords="1290,3938,1417,3891,3936">este</WORD>
<WORD coords="1467,3935,1744,3878,3932">cociente</WORD>
<WORD coords="1799,3950,1911,3889,3926">por</WORD>
<WORD coords="1971,3923,2005,3873,3928">3</WORD>
<WORD coords="2042,3944,2059,3904,3938">,</WORD>
<WORD coords="2116,3933,2535,3846,3912">multiplicaré</WORD>
</LINE>
<LINE>
<WORD coords="813,4070,868,3972,4070">%</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1298,4131,1376,4075,4130">17</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0071.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0072.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0072.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1786,636,1974,502,634">fi</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="678,712,748,650,710">él&apos;</WORD>
<WORD coords="784,728,1242,654,720">denominador</WORD>
<WORD coords="1300,730,1338,680,740">8</WORD>
<WORD coords="1384,754,1504,688,737">por</WORD>
<WORD coords="1558,744,1606,684,747">%</WORD>
<WORD coords="1654,750,1842,698,747">«cea</WORD>
<WORD coords="1884,748,1926,696,749">*</WORD>
<WORD coords="1968,776,2138,690,750">igual</WORD>
<WORD coords="2184,758,2220,678,758">i</WORD>
<WORD coords="2268,774,2356,704,770">6,</WORD>
<WORD coords="2400,784,2450,712,777">y</WORD>
<WORD coords="2510,770,2576,678,770">eí</WORD>
<WORD coords="2622,780,2898,716,776">cociente</WORD>
<WORD coords="2958,798,3064,740,786">pe.</WORD>
</LINE>
<LINE>
<WORD coords="682,820,838,768,820">oído</WORD>
<WORD coords="886,826,1024,786,824">sera</WORD>
<WORD coords="1114,828,1148,778,826">3</WORD>
<WORD coords="2960,800,2992,768,800">r</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1092,946,1174,890,943">48</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="766,1010,908,954,1016">109.</WORD>
<WORD coords="998,1016,1034,966,1016">3</WORD>
<WORD coords="1042,1016,1052,1006,1033">.</WORD>
<WORD coords="1082,1006,1120,974,1028">«</WORD>
<WORD coords="1178,1030,1284,966,1032">£7»</WORD>
<WORD coords="1322,1056,1630,956,1037">^tefcfeft</WORD>
<WORD coords="1684,1042,1768,990,1040">n&gt;:</WORD>
<WORD coords="1806,1042,1884,990,1040">sé</WORD>
<WORD coords="1914,1050,2112,990,1047">altera</WORD>
<WORD coords="2158,1080,2398,1016,1056">aunque</WORD>
<WORD coords="2440,1062,2508,1024,1062">se</WORD>
<WORD coords="2556,1090,2980,1012,1072">multipliquen</WORD>
<WORD coords="3030,1084,3066,1040,1084">«</WORD>
</LINE>
<LINE>
<WORD coords="668,1136,912,1064,1115">partan</WORD>
<WORD coords="968,1122,1076,1082,1122">sus</WORD>
<WORD coords="1126,1132,1228,1070,1130">dos</WORD>
<WORD coords="1278,1146,1574,1084,1137">termines,</WORD>
<WORD coords="1608,1164,1730,1096,1145">por</WORD>
<WORD coords="1776,1150,1860,1110,1150">un</WORD>
<WORD coords="1912,1158,2118,1116,1154">mismo</WORD>
<WORD coords="2172,1166,2416,1122,1162">numero</WORD>
<WORD coords="2442,1192,2490,1120,1183">(</WORD>
<WORD coords="2536,1174,2614,1120,1173">97</WORD>
<WORD coords="2656,1192,2730,1120,1192">J.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="762,1226,898,1170,1231">110.</WORD>
<WORD coords="986,1234,1126,1178,1236">4.*</WORD>
<WORD coords="1232,1240,1332,1182,1240">Un</WORD>
<WORD coords="1362,1266,1674,1186,1247">quebrad*</WORD>
<WORD coords="1716,1256,1784,1216,1255">se</WORD>
<WORD coords="1836,1288,2258,1200,1268">amplificara</WORD>
<WORD coords="2296,1272,2324,1234,1272">o</WORD>
<WORD coords="2374,1298,2644,1220,1277">quedara</WORD>
<WORD coords="2694,1292,2974,1230,1287">reducido</WORD>
<WORD coords="3026,1308,3086,1228,1308">§</WORD>
</LINE>
<LINE>
<WORD coords="670,1336,944,1286,1331">menores</WORD>
<WORD coords="1004,1352,1306,1288,1346">términos</WORD>
<WORD coords="1338,1370,1356,1338,1369">,</WORD>
<WORD coords="1424,1356,1486,1298,1355">si</WORD>
<WORD coords="1560,1360,1622,1304,1360">el</WORD>
<WORD coords="1666,1372,2032,1314,1366">numerador</WORD>
<WORD coords="2076,1394,2128,1334,1390">y</WORD>
<WORD coords="2174,1386,2614,1320,1381">denominador</WORD>
<WORD coords="2698,1392,2764,1354,1391">se</WORD>
<WORD coords="2832,1410,3066,1350,1398">parten</WORD>
</LINE>
<LINE>
<WORD coords="668,1440,928,1392,1437">cuantas</WORD>
<WORD coords="986,1450,1158,1406,1448">veces</WORD>
<WORD coords="1200,1458,1268,1416,1455">se</WORD>
<WORD coords="1302,1480,1504,1406,1462">pueda</WORD>
<WORD coords="1544,1486,1666,1418,1467">por</WORD>
<WORD coords="1720,1474,1794,1434,1472">su</WORD>
<WORD coords="1844,1480,2080,1418,1476">divisor</WORD>
<WORD coords="2142,1488,2354,1446,1485">común</WORD>
<WORD coords="2386,1504,2402,1478,1498">,</WORD>
<WORD coords="2450,1492,2480,1452,1492">o</WORD>
<WORD coords="2538,1494,2604,1456,1493">se</WORD>
<WORD coords="2650,1516,2886,1448,1498">parten</WORD>
<WORD coords="2930,1510,3070,1456,1504">uñé</WORD>
</LINE>
<LINE>
<WORD coords="670,1544,806,1494,1542">sola</WORD>
<WORD coords="850,1552,966,1508,1548">vez</WORD>
<WORD coords="1024,1574,1148,1508,1556">por</WORD>
<WORD coords="1198,1562,1256,1504,1562">el</WORD>
<WORD coords="1302,1566,1402,1522,1566">ma</WORD>
<WORD coords="1406,1572,1568,1516,1570">*imo</WORD>
<WORD coords="1636,1580,1850,1534,1576">común</WORD>
<WORD coords="1892,1588,2126,1526,1584">divisor</WORD>
<WORD coords="2158,1604,2176,1578,1598">,</WORD>
<WORD coords="2222,1592,2254,1538,1592">á</WORD>
<WORD coords="2298,1594,2364,1558,1593">se</WORD>
<WORD coords="2404,1618,2720,1546,1598">suprimen</WORD>
<WORD coords="2776,1610,2852,1568,1608">en</WORD>
<WORD coords="2912,1620,3056,1570,1616">am-</WORD>
</LINE>
<LINE>
<WORD coords="666,1650,770,1598,1649">bos</WORD>
<WORD coords="816,1660,1108,1606,1656">términos</WORD>
<WORD coords="1170,1668,1260,1610,1666">los</WORD>
<WORD coords="1280,1692,1570,1612,1678">factores,</WORD>
<WORD coords="1622,1690,1898,1642,1685">comunes</WORD>
<WORD coords="1934,1718,1984,1642,1682">¡r</WORD>
<WORD coords="2016,1696,2108,1642,1695">98,</WORD>
<WORD coords="2160,1702,2354,1640,1698">Coral.</WORD>
<WORD coords="2404,1704,2456,1656,1698">2.</WORD>
<WORD coords="2492,1688,2526,1650,1688">o</WORD>
<WORD coords="2552,1724,2630,1652,1716">j.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="912,1792,1212,1706,1768">Ejemplo.</WORD>
<WORD coords="1302,1782,1382,1722,1788">£|</WORD>
<WORD coords="1434,1806,1756,1732,1788">quebrado</WORD>
<WORD coords="1808,1798,1886,1742,1798">7a</WORD>
<WORD coords="1946,1800,2010,1762,1799">se</WORD>
<WORD coords="2062,1826,2460,1744,1806">simplificará</WORD>
<WORD coords="2494,1830,2512,1798,1830">,</WORD>
<WORD coords="2566,1834,2888,1756,1819">partiendo</WORD>
<WORD coords="2922,1832,3050,1788,1830">am-</WORD>
</LINE>
<LINE>
<WORD coords="1786,1902,1900,1850,1901">105</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="654,1968,768,1906,1967">bos</WORD>
<WORD coords="818,1982,1120,1918,1977">términos</WORD>
<WORD coords="1176,2000,1288,1946,1988">por</WORD>
<WORD coords="1350,1994,1390,1940,2001">5</WORD>
<WORD coords="1422,2012,1438,1982,2012">,</WORD>
<WORD coords="1486,2016,1608,1960,1999">que</WORD>
<WORD coords="1660,2002,1726,1964,2002">es</WORD>
<WORD coords="1770,2012,1844,1968,2009">su</WORD>
<WORD coords="1904,2016,2146,1952,2012">divisor</WORD>
<WORD coords="2202,2026,2426,1980,2019">común</WORD>
<WORD coords="2482,2046,2594,1988,2026">por</WORD>
<WORD coords="2652,2038,2950,1980,2035">terminar</WORD>
<WORD coords="2994,2044,3064,1976,2042">.*</WORD>
</LINE>
<LINE>
<WORD coords="656,2076,790,2034,2074">uno</WORD>
<WORD coords="854,2080,928,2044,2080">en</WORD>
<WORD coords="1064,2108,1102,2050,2109">y</WORD>
<WORD coords="1156,2094,1212,2036,2093">el</WORD>
<WORD coords="1258,2100,1394,2052,2098">otro</WORD>
<WORD coords="1452,2104,1526,2066,2103">en</WORD>
<WORD coords="1588,2106,1624,2058,2113">5</WORD>
<WORD coords="1660,2118,1682,2074,2119">;</WORD>
<WORD coords="1734,2112,1788,2056,2111">la</WORD>
<WORD coords="1852,2122,2128,2058,2118">división</WORD>
<WORD coords="2172,2124,2234,2088,2124">se</WORD>
<WORD coords="2288,2132,2434,2070,2129">hará</WORD>
<WORD coords="2498,2150,3042,2080,2141">abreviadamente</WORD>
</LINE>
<LINE>
<WORD coords="652,2180,734,2130,2180">de</WORD>
<WORD coords="794,2190,922,2140,2187">este</WORD>
<WORD coords="962,2196,1148,2140,2195">modo</WORD>
<WORD coords="1182,2200,1198,2162,2211">:</WORD>
<WORD coords="1234,2220,1446,2148,2206">quinta</WORD>
<WORD coords="1494,2230,1668,2170,2213">parte</WORD>
<WORD coords="1700,2220,1778,2160,2218">de</WORD>
<WORD coords="1816,2220,1844,2168,2221">7</WORD>
<WORD coords="1878,2224,1944,2186,2223">es</WORD>
<WORD coords="1994,2226,2022,2176,2226">1</WORD>
<WORD coords="2070,2248,2108,2192,2242">y</WORD>
<WORD coords="2136,2236,2356,2178,2233">sobran</WORD>
<WORD coords="2382,2238,2416,2190,2238">2</WORD>
<WORD coords="2450,2254,2464,2206,2254">;</WORD>
<WORD coords="2500,2260,2712,2188,2244">quinta</WORD>
<WORD coords="2744,2266,2912,2204,2250">parte</WORD>
<WORD coords="2964,2256,3044,2196,2254">de</WORD>
</LINE>
<LINE>
<WORD coords="654,2290,738,2238,2303">20</WORD>
<WORD coords="770,2292,834,2254,2292">es</WORD>
<WORD coords="886,2296,926,2244,2313">4</WORD>
<WORD coords="1006,2320,1046,2262,2325">y</WORD>
<WORD coords="1094,2328,1280,2256,2304">tengo</WORD>
<WORD coords="1334,2314,1388,2256,2314">d</WORD>
<WORD coords="1436,2324,1812,2266,2320">nnmerador</WORD>
<WORD coords="1852,2334,1944,2276,2331">14.</WORD>
<WORD coords="2002,2336,2180,2278,2333">Parto</WORD>
<WORD coords="2232,2348,2508,2288,2342">también</WORD>
<WORD coords="2552,2350,2606,2294,2349">el</WORD>
<WORD coords="2670,2358,3040,2296,2354">denomina,</WORD>
</LINE>
<LINE>
<WORD coords="656,2396,776,2344,2395">dor</WORD>
<WORD coords="818,2400,856,2350,2416">5</WORD>
<WORD coords="930,2414,1224,2348,2408">d.oendo</WORD>
<WORD coords="1258,2414,1274,2378,2423">:</WORD>
<WORD coords="1354,2436,1502,2364,2421">quin</WORD>
<WORD coords="1512,2424,1568,2378,2424">ta</WORD>
<WORD coords="1632,2442,1800,2386,2430">parte</WORD>
<WORD coords="1850,2436,1924,2378,2435">de</WORD>
<WORD coords="1978,2442,2054,2390,2441">10</WORD>
<WORD coords="2104,2444,2168,2406,2444">es</WORD>
<WORD coords="2214,2446,2248,2396,2446">2</WORD>
<WORD coords="2282,2462,2302,2410,2462">j</WORD>
<WORD coords="2346,2468,2556,2394,2451">quinta</WORD>
<WORD coords="2632,2474,2802,2414,2456">parte</WORD>
<WORD coords="2858,2460,2936,2404,2459">de</WORD>
<WORD coords="2992,2464,3034,2412,2464">5</WORD>
</LINE>
<LINE>
<WORD coords="652,2504,718,2460,2523">«</WORD>
<WORD coords="780,2506,806,2456,2524">1</WORD>
<WORD coords="860,2524,878,2496,2533">,</WORD>
<WORD coords="936,2530,980,2474,2536">y</WORD>
<WORD coords="1038,2542,1308,2458,2516">obtengo</WORD>
<WORD coords="1354,2526,1410,2470,2526">el</WORD>
<WORD coords="1458,2536,1736,2474,2532">cociente</WORD>
<WORD coords="1790,2542,1862,2492,2541">21</WORD>
<WORD coords="1916,2564,2036,2508,2547">que</WORD>
<WORD coords="2092,2552,2156,2514,2551">es</WORD>
<WORD coords="2258,2554,2314,2500,2553">el</WORD>
<WORD coords="2388,2564,2590,2518,2559">nuevo</WORD>
<WORD coords="2672,2568,2940,2508,2565">denomi,</WORD>
<WORD coords="2966,2570,3046,2518,2570">aV</WORD>
</LINE>
<LINE>
<WORD coords="654,2630,776,2558,2628">&lt;**</WORD>
<WORD coords="810,2632,828,2600,2641">,</WORD>
<WORD coords="878,2638,922,2578,2638">Y.</WORD>
<WORD coords="980,2622,1038,2564,2622">el</WORD>
<WORD coords="1092,2646,1416,2568,2629">quebrado</WORD>
<WORD coords="1494,2660,1816,2582,2642">primitivo</WORD>
<WORD coords="1896,2656,2034,2612,2652">sera</WORD>
<WORD coords="2090,2680,2258,2600,2658">igual</WORD>
<WORD coords="2320,2664,2354,2606,2664">i</WORD>
<WORD coords="2432,2670,2506,2618,2670">U</WORD>
<WORD coords="2564,2692,2684,2634,2674">que</WORD>
<WORD coords="2742,2676,2810,2638,2676">es</WORD>
<WORD coords="2890,2678,3028,2638,2676">mas</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2424,2776,2498,2726,2775">21</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="644,2832,928,2768,2826">aencillo.</WORD>
<WORD coords="1018,2842,1222,2778,2839">Como</WORD>
<WORD coords="1268,2856,1536,2784,2851">ciervo</WORD>
<WORD coords="1590,2858,1708,2816,2857">aun</WORD>
<WORD coords="1756,2880,1878,2822,2862">que</WORD>
<WORD coords="1930,2870,2148,2810,2866">ambos</WORD>
<WORD coords="2196,2882,2496,2822,2878">términos</WORD>
<WORD coords="2544,2886,2656,2846,2884">son</WORD>
<WORD coords="2700,2898,3056,2830,2889">divisibles^</WORD>
</LINE>
<LINE>
<WORD coords="646,2952,760,2886,2932">por</WORD>
<WORD coords="800,2954,884,2882,2955">7,</WORD>
<WORD coords="924,2964,1172,2902,2944">ejecutó</WORD>
<WORD coords="1204,2954,1256,2894,2952">la</WORD>
<WORD coords="1310,2964,1590,2898,2959">dimisión</WORD>
<WORD coords="1636,2986,1676,2926,2979">y</WORD>
<WORD coords="1722,2970,1820,2928,2969">me</WORD>
<WORD coords="1872,2978,2102,2916,2973">resulta</WORD>
<WORD coords="2176,2994,2234,2932,2986">2,</WORD>
<WORD coords="2280,3004,2594,2932,2990">quebrado</WORD>
<WORD coords="2640,2998,2862,2938,2996">mucho</WORD>
<WORD coords="2896,3006,3052,2960,3002">mar</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2162,3084,2216,3012,3084">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="642,3164,868,3092,3148">a.mple</WORD>
<WORD coords="926,3172,1046,3116,3157">que</WORD>
<WORD coords="1094,3160,1148,3104,3160">el</WORD>
<WORD coords="1196,3180,1518,3108,3169">primitivo</WORD>
<WORD coords="1550,3192,1568,3164,3192">,</WORD>
<WORD coords="1612,3198,1652,3140,3198">y</WORD>
<WORD coords="1700,3202,1818,3144,3184">que</WORD>
<WORD coords="1864,3188,1972,3148,3186">nos</WORD>
<WORD coords="2034,3192,2108,3132,3190">dá</WORD>
<WORD coords="2164,3198,2280,3158,3196">una</WORD>
<WORD coords="2324,3202,2464,3140,3199">idea</WORD>
<WORD coords="2514,3206,2650,3164,3204">mas</WORD>
<WORD coords="2710,3212,2872,3154,3208">clara</WORD>
<WORD coords="2938,3216,3018,3158,3215">de</WORD>
</LINE>
<LINE>
<WORD coords="642,3254,736,3196,3252">las</WORD>
<WORD coords="794,3272,996,3214,3258">partes</WORD>
<WORD coords="1044,3282,1162,3228,3267">que</WORD>
<WORD coords="1210,3272,1276,3234,3271">se</WORD>
<WORD coords="1328,3280,1448,3212,3278">han</WORD>
<WORD coords="1494,3286,1748,3230,3284">tomado</WORD>
<WORD coords="1802,3290,1902,3234,3290">del</WORD>
<WORD coords="1948,3298,2098,3240,3296">todo</WORD>
<WORD coords="2134,3310,2150,3266,3310">;</WORD>
<WORD coords="2208,3322,2444,3266,3303">porque</WORD>
<WORD coords="2514,3312,2642,3272,3309">mas</WORD>
<WORD coords="2690,3324,3014,3256,3317">faciWn.</WORD>
</LINE>
<LINE>
<WORD coords="640,3358,702,3308,3358">te</WORD>
<WORD coords="760,3366,866,3324,3364">cae</WORD>
<WORD coords="926,3372,1048,3330,3370">uno</WORD>
<WORD coords="1090,3372,1164,3334,3372">en</WORD>
<WORD coords="1220,3386,1440,3338,3381">cuenta</WORD>
<WORD coords="1484,3390,1560,3332,3389">de</WORD>
<WORD coords="1608,3392,1666,3336,3392">lo</WORD>
<WORD coords="1712,3414,1830,3358,3397">que</WORD>
<WORD coords="1878,3400,1986,3364,3398">son</WORD>
<WORD coords="2036,3404,2070,3356,3404">2</WORD>
<WORD coords="2120,3410,2346,3354,3407">tercias</WORD>
<WORD coords="2396,3412,2472,3356,3411">de</WORD>
<WORD coords="2534,3418,2680,3376,3417">vara</WORD>
<WORD coords="2712,3434,2730,3406,3434">,</WORD>
<WORD coords="2770,3440,2890,3386,3424">que</WORD>
<WORD coords="2934,3428,3014,3370,3427">de</WORD>
</LINE>
<LINE>
<WORD coords="638,3470,702,3412,3469">lo</WORD>
<WORD coords="758,3490,880,3432,3473">que</WORD>
<WORD coords="932,3476,1042,3438,3475">son</WORD>
<WORD coords="1110,3482,1188,3426,3486">70</WORD>
<WORD coords="1232,3490,1436,3428,3487">ciento</WORD>
<WORD coords="1486,3500,1662,3440,3497">cinco</WORD>
<WORD coords="1706,3506,1854,3466,3503">avos</WORD>
<WORD coords="1904,3508,1982,3452,3508">de</WORD>
<WORD coords="2042,3512,2096,3456,3511">la</WORD>
<WORD coords="2154,3518,2400,3460,3516">misma.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="890,3588,986,3526,3586">La</WORD>
<WORD coords="1032,3596,1258,3534,3592">misma</WORD>
<WORD coords="1320,3622,1790,3540,3604">simplificación</WORD>
<WORD coords="1848,3636,1890,3576,3629">y</WORD>
<WORD coords="1946,3620,2076,3580,3618">mas</WORD>
<WORD coords="2124,3636,2570,3566,3626">directamente</WORD>
<WORD coords="2634,3634,2698,3594,3631">se</WORD>
<WORD coords="2752,3646,3012,3576,3638">hubiera</WORD>
</LINE>
<LINE>
<WORD coords="636,3710,892,3630,3688">hecho,</WORD>
<WORD coords="954,3696,1008,3656,3695">si</WORD>
<WORD coords="1058,3708,1454,3638,3702">hubiéramos</WORD>
<WORD coords="1512,3720,1802,3654,3715">dividido</WORD>
<WORD coords="1860,3722,1948,3666,3722">los</WORD>
<WORD coords="2010,3726,2124,3668,3724">dos</WORD>
<WORD coords="2176,3738,2476,3676,3732">términos</WORD>
<WORD coords="2532,3740,2636,3682,3738">del</WORD>
<WORD coords="2684,3752,3008,3686,3744">quebrada</WORD>
</LINE>
<LINE>
<WORD coords="632,3800,906,3748,3795">anterior</WORD>
<WORD coords="970,3818,1082,3762,3802">por</WORD>
<WORD coords="1128,3810,1200,3768,3807">su</WORD>
<WORD coords="1250,3816,1522,3758,3812">máximo</WORD>
<WORD coords="1578,3826,1800,3782,3821">común</WORD>
<WORD coords="1854,3832,2092,3770,3829">divisor</WORD>
<WORD coords="2132,3854,2252,3798,3837">que</WORD>
<WORD coords="2304,3840,2360,3784,3838">lo</WORD>
<WORD coords="2410,3846,2476,3806,3844">es</WORD>
<WORD coords="2542,3846,2594,3792,3846">el</WORD>
<WORD coords="2640,3848,2734,3798,3848">35.</WORD>
<WORD coords="2828,3850,2890,3794,3850">Si</WORD>
<WORD coords="2944,3854,3002,3796,3853">el</WORD>
</LINE>
<LINE>
<WORD coords="634,3906,1018,3848,3902">numerador</WORD>
<WORD coords="1068,3912,1144,3858,3919">70</WORD>
<WORD coords="1184,3916,1250,3878,3915">se</WORD>
<WORD coords="1310,3920,1352,3860,3920">h</WORD>
<WORD coords="1400,3926,1568,3864,3922">biese</WORD>
<WORD coords="1632,3944,2114,3872,3933">descompuesto</WORD>
<WORD coords="2170,3942,2240,3906,3941">en</WORD>
<WORD coords="2300,3950,2406,3910,3948">sus</WORD>
<WORD coords="2456,3958,2720,3890,3953">factores</WORD>
<WORD coords="2780,3958,2814,3910,3958">2</WORD>
<WORD coords="2840,3974,2920,3904,3974">X</WORD>
<WORD coords="2960,3962,2996,3912,3962">S.</WORD>
</LINE>
<LINE>
<WORD coords="760,4008,796,3954,4026">7</WORD>
<WORD coords="836,4030,880,3970,4037">y</WORD>
<WORD coords="930,4016,990,3954,4016">el</WORD>
<WORD coords="1030,4032,1480,3956,4025">denominador</WORD>
<WORD coords="1544,4034,1658,3982,4035">105</WORD>
<WORD coords="1714,4038,1792,3998,4038">en</WORD>
<WORD coords="1834,4044,1930,3982,4042">lo.</WORD>
<WORD coords="1976,4062,2110,3990,4052">3*</WORD>
<WORD coords="2168,4050,2202,3998,4050">S</WORD>
<WORD coords="2242,4062,2304,3992,4062">H</WORD>
<WORD coords="2364,4076,2440,4004,4069">7,</WORD>
<WORD coords="2482,4078,2522,4020,4070">y</WORD>
<WORD coords="2570,4062,2634,4024,4062">S6</WORD>
<WORD coords="2690,4078,2996,4004,4071">hub.eraa</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0072.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0073.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0073.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="264,778,535,682,771">forrado</WORD>
<WORD coords="578,769,669,700,768">tos</WORD>
<WORD coords="724,769,992,671,764">factores</WORD>
<WORD coords="1040,760,1334,717,756">comunes</WORD>
<WORD coords="1368,758,1402,709,758">5</WORD>
<WORD coords="1454,777,1492,717,774">y</WORD>
<WORD coords="1544,772,1626,699,760">7,</WORD>
<WORD coords="1663,753,1935,691,751">también</WORD>
<WORD coords="1982,752,2044,713,751">se</WORD>
<WORD coords="2086,750,2329,687,746">tendría</WORD>
<WORD coords="2381,746,2434,687,746">e!</WORD>
<WORD coords="2471,744,2616,686,743">mis-</WORD>
</LINE>
<LINE>
<WORD coords="280,884,385,842,882">no</WORD>
<WORD coords="444,882,765,820,877">resultado</WORD>
<WORD coords="813,877,849,826,876">2</WORD>
<WORD coords="893,875,1145,812,870">tercios,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="511,1056,876,984,1054">Varias</WORD>
<WORD coords="926,1053,1595,983,1046">reducciones</WORD>
<WORD coords="1645,1040,1764,983,1039">de</WORD>
<WORD coords="1819,1052,2417,973,1035">quebrados,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="369,1247,511,1179,1247">íll.</WORD>
<WORD coords="604,1244,1044,1185,1242">Definiciones.</WORD>
<WORD coords="1113,1235,1463,1177,1231">Aliebrados</WORD>
<WORD coords="1507,1250,1685,1178,1228">semej</WORD>
<WORD coords="1697,1230,1864,1184,1229">antes</WORD>
<WORD coords="1897,1229,1932,1191,1229">u</WORD>
<WORD coords="1967,1246,2360,1171,1225">homogéneos</WORD>
<WORD coords="2415,1225,2523,1191,1223">son</WORD>
<WORD coords="2558,1228,2648,1172,1225">los</WORD>
</LINE>
<LINE>
<WORD coords="285,1372,405,1290,1359">¿fue</WORD>
<WORD coords="459,1353,668,1296,1351">tienen</WORD>
<WORD coords="713,1351,793,1313,1350">un</WORD>
<WORD coords="854,1347,1077,1292,1346">mismo</WORD>
<WORD coords="1129,1354,1619,1284,1339">denominador;</WORD>
<WORD coords="1687,1354,2136,1278,1334">Desemejantes</WORD>
<WORD coords="2224,1334,2260,1296,1334">u</WORD>
<WORD coords="2334,1356,2648,1277,1334">heUrogt*</WORD>
</LINE>
<LINE>
<WORD coords="286,1463,430,1404,1458">fieos</WORD>
<WORD coords="491,1459,583,1403,1457">los</WORD>
<WORD coords="635,1476,755,1420,1455">que</WORD>
<WORD coords="818,1455,1023,1397,1452">tienen</WORD>
<WORD coords="1091,1449,1428,1391,1447">diferentes</WORD>
<WORD coords="1490,1449,2030,1389,1445">dehomín^atírés.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="395,1563,534,1516,1562">112.</WORD>
<WORD coords="634,1561,1008,1504,1560">Problema:</WORD>
<WORD coords="1055,1561,1327,1499,1555">Reducir</WORD>
<WORD coords="1388,1556,1496,1499,1554">dos</WORD>
<WORD coords="1559,1555,1589,1515,1555">o</WORD>
<WORD coords="1650,1556,1770,1516,1553">mas</WORD>
<WORD coords="1832,1577,2161,1493,1551">quebrados</WORD>
<WORD coords="2215,1552,2252,1515,1552">a</WORD>
<WORD coords="2312,1553,2390,1513,1552">un</WORD>
<WORD coords="2446,1552,2658,1511,1551">común</WORD>
</LINE>
<LINE>
<WORD coords="291,1671,744,1610,1667">denominador*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="540,1774,926,1714,1771">Resolución.</WORD>
<WORD coords="1018,1772,1083,1713,1771">Si</WORD>
<WORD coords="1144,1770,1254,1732,1769">son</WORD>
<WORD coords="1344,1768,1456,1713,1767">dos</WORD>
<WORD coords="1516,1769,1608,1711,1768">los</WORD>
<WORD coords="1700,1781,2048,1708,1765">quebrados</WORD>
<WORD coords="2080,1778,2096,1733,1773">;</WORD>
<WORD coords="2149,1765,2200,1716,1766">1.</WORD>
<WORD coords="2365,1766,2482,1711,1765">Los</WORD>
<WORD coords="2543,1768,2657,1710,1766">dos</WORD>
</LINE>
<LINE>
<WORD coords="294,1883,814,1823,1878">denominadores</WORD>
<WORD coords="873,1880,938,1841,1878">se</WORD>
<WORD coords="1008,1878,1130,1824,1877">muí</WORD>
<WORD coords="1148,1896,1374,1821,1875">tiplean</WORD>
<WORD coords="1420,1875,1590,1831,1874">entre</WORD>
<WORD coords="1649,1873,1701,1817,1873">si</WORD>
<WORD coords="1733,1880,1748,1858,1880">,</WORD>
<WORD coords="1801,1892,1835,1836,1883">y</WORD>
<WORD coords="1886,1871,1939,1818,1871">el</WORD>
<WORD coords="1997,1888,2298,1817,1870">producto</WORD>
<WORD coords="2353,1875,2414,1839,1874">es</WORD>
<WORD coords="2462,1872,2518,1819,1871">el</WORD>
<WORD coords="2553,1877,2661,1822,1877">de-</WORD>
</LINE>
<LINE>
<WORD coords="308,1991,684,1930,1986">nominador</WORD>
<WORD coords="736,1988,954,1949,1985">corxun</WORD>
<WORD coords="990,1999,1005,1951,1992">;</WORD>
<WORD coords="1063,1986,1126,1937,1984">2»</WORD>
<WORD coords="1154,1964,1187,1930,1974">°</WORD>
<WORD coords="1244,1984,1319,1928,1983">El</WORD>
<WORD coords="1377,1985,1752,1926,1981">numerador</WORD>
<WORD coords="1805,1979,1880,1924,1978">de</WORD>
<WORD coords="1930,1978,2081,1924,1977">cada</WORD>
<WORD coords="2129,1996,2444,1926,1979">quebrado</WORD>
<WORD coords="2501,1987,2660,1932,1986">mul-</WORD>
</LINE>
<LINE>
<WORD coords="287,2110,624,2037,2091">tipliqúese</WORD>
<WORD coords="677,2110,792,2055,2093">por</WORD>
<WORD coords="827,2094,881,2039,2092">el</WORD>
<WORD coords="919,2091,1372,2034,2089">denominador</WORD>
<WORD coords="1425,2090,1526,2035,2089">del</WORD>
<WORD coords="1577,2090,1712,2051,2089">oiro</WORD>
<WORD coords="1749,2102,1764,2075,2102">,</WORD>
<WORD coords="1794,2107,1835,2051,2099">y</WORD>
<WORD coords="1881,2087,1978,2032,2087">los.</WORD>
<WORD coords="2031,2107,2370,2029,2086">productos</WORD>
<WORD coords="2418,2096,2663,2056,2092">corres-</WORD>
</LINE>
<LINE>
<WORD coords="294,2227,668,2143,2201">pondientes</WORD>
<WORD coords="718,2202,895,2164,2200">serán</WORD>
<WORD coords="949,2198,1038,2163,2197">ros</WORD>
<WORD coords="1094,2201,1328,2163,2199">nuevos</WORD>
<WORD coords="1381,2202,1856,2145,2199">numeradores.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="540,2331,841,2251,2308">Ejemplo,</WORD>
<WORD coords="933,2313,1088,2250,2310">Sean</WORD>
<WORD coords="1148,2309,1241,2254,2308">los</WORD>
<WORD coords="1318,2328,1684,2249,2307">quebrados&apos;</WORD>
<WORD coords="1715,2306,1749,2259,2317">2</WORD>
<WORD coords="1773,2317,1786,2294,2311">,</WORD>
<WORD coords="1896,2306,1936,2256,2310">4</WORD>
<WORD coords="2003,2331,2501,2249,2309">heterogéneos,</WORD>
<WORD coords="2543,2332,2663,2275,2317">que</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1726,2411,1766,2361,2411">a</WORD>
<WORD coords="1897,2418,1969,2334,2418">f</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="293,2526,590,2476,2522">Irr.tsmos</WORD>
<WORD coords="656,2522,734,2464,2522">de</WORD>
<WORD coords="778,2523,1059,2463,2521">hacerlos</WORD>
<WORD coords="1112,2543,1558,2465,2522">homogéneos.</WORD>
<WORD coords="1655,2524,1731,2467,2523">El</WORD>
<WORD coords="1794,2524,2173,2467,2522">numerador</WORD>
<WORD coords="2221,2526,2254,2476,2526">2</WORD>
<WORD coords="2313,2546,2679,2461,2528">multiplico*</WORD>
</LINE>
<LINE>
<WORD coords="296,2651,408,2594,2631">por</WORD>
<WORD coords="471,2634,506,2581,2634">7</WORD>
<WORD coords="539,2646,561,2619,2646">t</WORD>
<WORD coords="606,2651,644,2595,2643">y</WORD>
<WORD coords="704,2631,759,2577,2630">el</WORD>
<WORD coords="821,2651,1125,2576,2631">producto</WORD>
<WORD coords="1189,2632,1263,2582,2631">14</WORD>
<WORD coords="1306,2632,1442,2595,2630">sera</WORD>
<WORD coords="1499,2632,1551,2576,2631">el</WORD>
<WORD coords="1617,2634,1991,2576,2630">numerador</WORD>
<WORD coords="2045,2634,2242,2596,2631">nuevo</WORD>
<WORD coords="2270,2648,2305,2578,2628">;&apos;</WORD>
<WORD coords="2366,2653,2664,2583,2636">multipli-</WORD>
</LINE>
<LINE>
<WORD coords="298,2736,369,2698,2735">co</WORD>
<WORD coords="418,2756,687,2682,2737">después</WORD>
<WORD coords="729,2740,784,2683,2739">el</WORD>
<WORD coords="832,2741,1207,2683,2738">numerador</WORD>
<WORD coords="1261,2739,1300,2689,2739">4</WORD>
<WORD coords="1352,2754,1461,2701,2738">por</WORD>
<WORD coords="1518,2738,1574,2682,2737">el</WORD>
<WORD coords="1621,2738,2068,2682,2736">denominador</WORD>
<WORD coords="2116,2737,2152,2688,2737">3</WORD>
<WORD coords="2204,2759,2243,2703,2749">y</WORD>
<WORD coords="2288,2739,2343,2686,2739">e!</WORD>
<WORD coords="2397,2759,2663,2688,2742">produc-</WORD>
</LINE>
<LINE>
<WORD coords="296,2844,361,2797,2842">to</WORD>
<WORD coords="427,2844,496,2796,2844">12</WORD>
<WORD coords="545,2846,679,2807,2844">sera</WORD>
<WORD coords="737,2846,789,2789,2845">el</WORD>
<WORD coords="841,2844,977,2800,2843">otro</WORD>
<WORD coords="1023,2846,1227,2807,2845">nuevo</WORD>
<WORD coords="1286,2846,1708,2787,2844">numerador;</WORD>
<WORD coords="1747,2859,2095,2788,2843">multiplico</WORD>
<WORD coords="2130,2845,2205,2809,2844">en</WORD>
<WORD coords="2252,2844,2328,2786,2843">fin</WORD>
<WORD coords="2395,2847,2449,2796,2846">el</WORD>
<WORD coords="2481,2848,2512,2800,2848">3</WORD>
<WORD coords="2552,2866,2668,2812,2851">por</WORD>
</LINE>
<LINE>
<WORD coords="299,2952,354,2896,2952">T</WORD>
<WORD coords="398,2971,438,2914,2962">y</WORD>
<WORD coords="506,2954,560,2899,2953">el</WORD>
<WORD coords="617,2971,919,2898,2952">producto</WORD>
<WORD coords="979,2955,1051,2905,2954">21</WORD>
<WORD coords="1120,2954,1187,2918,2953">es</WORD>
<WORD coords="1234,2954,1289,2899,2954">el</WORD>
<WORD coords="1346,2954,1798,2896,2952">denominador</WORD>
<WORD coords="1859,2956,2081,2917,2952">común</WORD>
<WORD coords="2117,2968,2134,2942,2968">,</WORD>
<WORD coords="2168,2972,2284,2914,2950">que</WORD>
<WORD coords="2335,2951,2391,2897,2950">lo</WORD>
<WORD coords="2457,2979,2662,2920,2956">pongo</WORD>
</LINE>
<LINE>
<WORD coords="302,3081,527,3004,3059">debajo</WORD>
<WORD coords="587,3060,663,3003,3059">de</WORD>
<WORD coords="718,3060,872,3000,3058">cada</WORD>
<WORD coords="930,3074,1351,3004,3058">numerador,</WORD>
<WORD coords="1400,3079,1436,3023,3079">y</WORD>
<WORD coords="1471,3079,1656,3011,3056">tengo</WORD>
<WORD coords="1714,3060,1805,3003,3059">los</WORD>
<WORD coords="1863,3079,2210,3003,3058">quebrados</WORD>
<WORD coords="2264,3072,2383,3010,3062">14,</WORD>
<WORD coords="2455,3061,2517,3016,3060">12</WORD>
<WORD coords="2552,3065,2664,3007,3064">ho-</WORD>
</LINE>
<LINE>
<WORD coords="300,3186,638,3099,3166">mogéneos</WORD>
<WORD coords="688,3167,722,3110,3167">é</WORD>
<WORD coords="783,3187,1022,3109,3164">igua&apos;íes</WORD>
<WORD coords="1070,3165,1098,3113,3165">á</WORD>
<WORD coords="1147,3166,1252,3129,3165">sus</WORD>
<WORD coords="1312,3185,1685,3109,3163">primitivos»</WORD>
<WORD coords="2279,3165,2351,3117,3164">Ü\</WORD>
<WORD coords="2462,3170,2533,3121,3169">21</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="553,3272,617,3216,3271">Si</WORD>
<WORD coords="666,3273,755,3220,3272">los</WORD>
<WORD coords="805,3292,1158,3215,3270">quebrados</WORD>
<WORD coords="1211,3271,1321,3236,3270">son</WORD>
<WORD coords="1373,3271,1501,3235,3269">mas</WORD>
<WORD coords="1558,3272,1633,3214,3270">de</WORD>
<WORD coords="1684,3273,1795,3214,3271">dos</WORD>
<WORD coords="1825,3281,1842,3259,3276">,</WORD>
<WORD coords="1901,3270,1965,3235,3269">se</WORD>
<WORD coords="2024,3273,2297,3217,3271">reducen</WORD>
<WORD coords="2347,3271,2375,3221,3271">á</WORD>
<WORD coords="2426,3273,2502,3238,3273">un</WORD>
<WORD coords="2564,3274,2664,3238,3273">co-</WORD>
</LINE>
<LINE>
<WORD coords="298,3382,447,3315,3380">níun</WORD>
<WORD coords="498,3383,948,3324,3379">denominador</WORD>
<WORD coords="997,3385,1103,3342,3375">por</WORD>
<WORD coords="1151,3377,1284,3334,3377">esta</WORD>
<WORD coords="1330,3398,1495,3325,3376">reg&apos;a</WORD>
<WORD coords="1548,3397,1587,3341,3387">g</WORD>
<WORD coords="1627,3378,1789,3323,3377">ñera!</WORD>
<WORD coords="1824,3378,1839,3346,3378">;</WORD>
<WORD coords="1881,3379,2043,3322,3377">Cada</WORD>
<WORD coords="2100,3378,2462,3325,3376">numerador</WORD>
<WORD coords="2523,3382,2667,3325,3381">muí&apos;</WORD>
</LINE>
<LINE>
<WORD coords="299,3512,622,3432,3486">tipiiquesé-</WORD>
<WORD coords="686,3500,801,3442,3487">por</WORD>
<WORD coords="880,3486,955,3428,3485">el</WORD>
<WORD coords="978,3504,1280,3431,3484">producto?</WORD>
<WORD coords="1331,3483,1401,3436,3483">de</WORD>
<WORD coords="1463,3483,1547,3429,3482">los</WORD>
<WORD coords="1622,3484,2119,3428,3482">denominadores</WORD>
<WORD coords="2187,3484,2256,3431,3482">de</WORD>
<WORD coords="2338,3483,2421,3433,3482">los</WORD>
<WORD coords="2503,3487,2665,3437,3484">Hfos</WORD>
</LINE>
<LINE>
<WORD coords="295,3617,629,3538,3593">quebrados</WORD>
<WORD coords="663,3607,680,3583,3607">,</WORD>
<WORD coords="709,3614,750,3557,3603">y</WORD>
<WORD coords="797,3593,882,3540,3592">los</WORD>
<WORD coords="923,3612,1250,3537,3591">productos</WORD>
<WORD coords="1304,3590,1486,3553,3588">serán</WORD>
<WORD coords="1535,3589,1618,3534,3588">los</WORD>
<WORD coords="1670,3591,1892,3554,3588">nuevos</WORD>
<WORD coords="1946,3589,2373,3536,3586">numeradores</WORD>
<WORD coords="2433,3589,2487,3555,3588">ce</WORD>
</LINE>
<LINE>
<WORD coords="286,3722,691,3646,3700">pendientes;</WORD>
<WORD coords="740,3726,1229,3645,3699">multipliqúense</WORD>
<WORD coords="1287,3698,1453,3644,3696">todos</WORD>
<WORD coords="1513,3695,1596,3642,3694">los</WORD>
<WORD coords="1643,3697,2142,3641,3695">denominadores</WORD>
<WORD coords="2193,3695,2305,3649,3694">ent-</WORD>
<WORD coords="2333,3696,2362,3659,3696">e</WORD>
<WORD coords="2397,3697,2454,3643,3694">si</WORD>
<WORD coords="2481,3711,2495,3686,3711">,</WORD>
<WORD coords="2546,3718,2584,3661,3707">y</WORD>
<WORD coords="2618,3695,2675,3641,3695">el</WORD>
</LINE>
<LINE>
<WORD coords="289,3831,585,3754,3806">producto</WORD>
<WORD coords="631,3808,691,3772,3808">es</WORD>
<WORD coords="739,3807,794,3754,3807">ti</WORD>
<WORD coords="848,3806,1059,3770,3805">común</WORD>
<WORD coords="1104,3805,1539,3749,3802">denominador</WORD>
<WORD coords="1593,3824,1704,3767,3802">que</WORD>
<WORD coords="1770,3803,1833,3766,3801">se</WORD>
<WORD coords="1892,3801,2065,3746,3799">deber</WORD>
<WORD coords="2072,3801,2107,3766,3801">a</WORD>
<WORD coords="2180,3800,2435,3746,3798">escribir</WORD>
</LINE>
<LINE>
<WORD coords="280,3936,358,3857,3913">jo</WORD>
<WORD coords="415,3916,485,3860,3915">de</WORD>
<WORD coords="540,3915,690,3861,3915">cada</WORD>
<WORD coords="734,3917,1097,3862,3915">numerador</WORD>
<WORD coords="1125,3924,1141,3903,3924">s</WORD>
<WORD coords="1189,3913,1218,3878,3913">o</WORD>
<WORD coords="1261,3912,1315,3876,3911">si</WORD>
<WORD coords="1372,3910,1436,3875,3909">se</WORD>
<WORD coords="1498,3932,1706,3856,3907">quiere</WORD>
<WORD coords="1736,3920,1750,3899,3915">,</WORD>
<WORD coords="1817,3907,1880,3872,3907">se</WORD>
<WORD coords="1927,3906,2130,3854,3904">tirara</WORD>
<WORD coords="2178,3908,2298,3873,3906">una</WORD>
<WORD coords="2376,3924,2520,3856,3908">raifa</WORD>
<WORD coords="2575,3904,2666,3869,3903">so-</WORD>
</LINE>
<LINE>
<WORD coords="296,4017,354,3966,4016">la</WORD>
<WORD coords="426,4042,631,3965,4019">debajo</WORD>
<WORD coords="680,4022,749,3971,4022">de</WORD>
<WORD coords="809,4021,893,3969,4020">los</WORD>
<WORD coords="914,4024,1382,3965,4021">numeradores</WORD>
<WORD coords="1428,4039,1468,3981,4028">y</WORD>
<WORD coords="1513,4018,1577,3981,4018">¿e</WORD>
<WORD coords="1608,4041,1854,3960,4016">pondrá</WORD>
<WORD coords="1908,4015,1956,3958,4014">bi</WORD>
<WORD coords="1962,4038,2040,3956,4017">jo</WORD>
<WORD coords="2105,4014,2172,3960,4014">de</WORD>
<WORD coords="2220,4016,2334,3950,4015">ella</WORD>
<WORD coords="2388,4011,2440,3955,4010">el</WORD>
<WORD coords="2487,4015,2663,3955,4012">dtiio-</WORD>
</LINE>
<LINE>
<WORD coords="429,4125,462,4093,4126">a</WORD>
<WORD coords="469,4129,535,4075,4129">db</WORD>
<WORD coords="546,4129,575,4093,4130">r</WORD>
<WORD coords="612,4132,822,4093,4130">común</WORD>
<WORD coords="833,4132,862,4065,4132">f</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0073.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0074.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0074.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1699,547,1845,458,544">64</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="831,666,1104,585,642">Ejemplo</WORD>
<WORD coords="1138,650,1160,614,650">:</WORD>
<WORD coords="1244,661,1658,593,655">Redúzcanse</WORD>
<WORD coords="1713,663,1742,610,669">á</WORD>
<WORD coords="1794,668,1872,631,668">un</WORD>
<WORD coords="1907,677,2131,632,673">común</WORD>
<WORD coords="2185,696,2638,621,687">denominado*</WORD>
<WORD coords="2668,701,2759,641,699">los</WORD>
<WORD coords="2798,711,2953,660,707">toe</WORD>
</LINE>
<LINE>
<WORD coords="816,792,871,779,792">~</WORD>
<WORD coords="917,765,932,738,779">&apos;</WORD>
<WORD coords="1277,783,1688,706,763">multiplicaré</WORD>
<WORD coords="1723,772,1778,715,772">el</WORD>
<WORD coords="1836,787,2210,724,781">numerador</WORD>
<WORD coords="2267,791,2295,741,792">1</WORD>
<WORD coords="2356,795,2456,734,794">del</WORD>
<WORD coords="2510,819,2781,748,805">primero</WORD>
<WORD coords="2818,831,2947,774,817">.por</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="567,962,647,910,972">32</WORD>
<WORD coords="710,977,1011,910,965">producto</WORD>
<WORD coords="1084,969,1161,913,969">de</WORD>
<WORD coords="1223,974,1261,934,984">4</WORD>
<WORD coords="1337,992,1446,938,978">por</WORD>
<WORD coords="1511,998,1587,930,992">8,</WORD>
<WORD coords="1670,1006,1712,945,1000">y</WORD>
<WORD coords="1796,998,2014,937,992">tendré</WORD>
<WORD coords="2090,999,2147,943,998">el</WORD>
<WORD coords="2236,1018,2614,960,1011">numerador</WORD>
<WORD coords="2684,1023,2761,971,1021">32</WORD>
<WORD coords="2844,1031,2944,970,1030">del</WORD>
</LINE>
<LINE>
<WORD coords="564,1071,772,1029,1069">nuevo</WORD>
<WORD coords="824,1091,1141,1017,1074">quebrado</WORD>
<WORD coords="1202,1097,1321,1043,1080">que</WORD>
<WORD coords="1376,1086,1535,1026,1084">hade</WORD>
<WORD coords="1584,1090,1681,1053,1088">ser</WORD>
<WORD coords="1743,1116,1911,1034,1096">igual</WORD>
<WORD coords="1970,1101,2024,1046,1101">a!</WORD>
<WORD coords="2083,1122,2353,1050,1108">primero</WORD>
<WORD coords="2400,1122,2561,1061,1118">dado</WORD>
<WORD coords="2599,1107,2613,1092,1107">.</WORD>
<WORD coords="2654,1144,2794,1090,1129">para</WORD>
<WORD coords="2829,1134,2908,1076,1134">ha</WORD>
</LINE>
<LINE>
<WORD coords="559,1176,671,1117,1173">liar</WORD>
<WORD coords="718,1176,771,1122,1175">el</WORD>
<WORD coords="824,1184,1203,1127,1180">numerador</WORD>
<WORD coords="1258,1188,1358,1132,1187">del</WORD>
<WORD coords="1411,1214,1695,1140,1194">segundo</WORD>
<WORD coords="1729,1216,1746,1185,1216">,</WORD>
<WORD coords="1780,1217,2124,1152,1206">multiplico</WORD>
<WORD coords="2175,1215,2246,1177,1213">su</WORD>
<WORD coords="2307,1233,2685,1117,1226">numerador</WORD>
<WORD coords="2741,1236,2776,1187,1236">3</WORD>
<WORD coords="2823,1252,2939,1202,1242">por</WORD>
</LINE>
<LINE>
<WORD coords="561,1280,638,1226,1291">16</WORD>
<WORD coords="683,1293,983,1229,1283">producto</WORD>
<WORD coords="1043,1290,1119,1234,1289">de</WORD>
<WORD coords="1176,1290,1210,1244,1301">2</WORD>
<WORD coords="1272,1312,1383,1256,1294">por</WORD>
<WORD coords="1430,1297,1464,1249,1305">8</WORD>
<WORD coords="1501,1310,1516,1287,1311">,</WORD>
<WORD coords="1570,1321,1610,1264,1317">y</WORD>
<WORD coords="1667,1310,1884,1251,1304">tendré</WORD>
<WORD coords="1928,1313,2006,1262,1312">48</WORD>
<WORD coords="2038,1300,2058,1277,1306">&gt;</WORD>
<WORD coords="2096,1316,2153,1261,1316">el</WORD>
<WORD coords="2198,1325,2396,1275,1322">tercer</WORD>
<WORD coords="2453,1342,2829,1285,1337">numerador</WORD>
<WORD coords="2860,1348,2925,1290,1345">lo</WORD>
</LINE>
<LINE>
<WORD coords="555,1393,762,1332,1389">formo</WORD>
<WORD coords="816,1406,1290,1342,1396">multiplicando</WORD>
<WORD coords="1339,1404,1397,1348,1403">el</WORD>
<WORD coords="1455,1413,1830,1355,1409">numerador</WORD>
<WORD coords="1875,1416,1910,1369,1416">5</WORD>
<WORD coords="1973,1439,2080,1383,1420">por</WORD>
<WORD coords="2137,1427,2170,1378,1427">8</WORD>
<WORD coords="2231,1446,2538,1376,1434">producto</WORD>
<WORD coords="2589,1444,2670,1386,1443">de</WORD>
<WORD coords="2719,1448,2757,1399,1448">2</WORD>
<WORD coords="2815,1451,2890,1411,1449">ve</WORD>
</LINE>
<LINE>
<WORD coords="548,1500,652,1462,1499">ees</WORD>
<WORD coords="710,1501,747,1452,1514">4</WORD>
<WORD coords="781,1522,800,1488,1525">,</WORD>
<WORD coords="851,1522,890,1466,1525">y</WORD>
<WORD coords="941,1505,1076,1467,1503">sera</WORD>
<WORD coords="1118,1510,1222,1457,1513">40.</WORD>
<WORD coords="1314,1533,1674,1453,1514">Multiplico</WORD>
<WORD coords="1721,1522,1794,1484,1522">en</WORD>
<WORD coords="1854,1549,2114,1474,1528">seguida</WORD>
<WORD coords="2182,1540,2364,1480,1537">todos</WORD>
<WORD coords="2418,1543,2510,1484,1542">los</WORD>
<WORD coords="2557,1559,2917,1489,1551">denomina-</WORD>
</LINE>
<LINE>
<WORD coords="547,1621,778,1551,1606">dores,</WORD>
<WORD coords="832,1614,1167,1554,1610">diciendo:</WORD>
<WORD coords="1216,1617,1251,1569,1624">2</WORD>
<WORD coords="1312,1638,1421,1579,1618">por</WORD>
<WORD coords="1464,1621,1504,1571,1626">4</WORD>
<WORD coords="1556,1625,1666,1587,1624">son</WORD>
<WORD coords="1730,1645,1804,1579,1636">8;</WORD>
<WORD coords="1859,1634,1892,1586,1634">8</WORD>
<WORD coords="1947,1656,2057,1601,1640">por</WORD>
<WORD coords="2118,1642,2151,1594,1642">8</WORD>
<WORD coords="2195,1646,2306,1607,1645">son</WORD>
<WORD coords="2365,1649,2445,1595,1648">64</WORD>
<WORD coords="2484,1671,2522,1614,1671">y</WORD>
<WORD coords="2575,1673,2923,1601,1658">poniendo-</WORD>
</LINE>
<LINE>
<WORD coords="543,1712,607,1655,1711">lo</WORD>
<WORD coords="641,1731,751,1676,1713">por</WORD>
<WORD coords="795,1722,1248,1659,1719">denominador</WORD>
<WORD coords="1277,1724,1305,1671,1732">á</WORD>
<WORD coords="1341,1726,1429,1670,1724">los</WORD>
<WORD coords="1476,1742,1922,1680,1734">numeradores</WORD>
<WORD coords="1952,1749,2187,1705,1746">nuevos</WORD>
<WORD coords="2219,1767,2235,1737,1762">,</WORD>
<WORD coords="2265,1758,2479,1697,1754">temlre</WORD>
<WORD coords="2513,1758,2589,1706,1757">32</WORD>
<WORD coords="2625,1775,2642,1749,1769">,</WORD>
<WORD coords="2671,1764,2752,1715,1763">48</WORD>
<WORD coords="2785,1776,2799,1754,1773">,</WORD>
<WORD coords="2830,1770,2918,1717,1769">40</WORD>
</LINE>
<LINE>
<WORD coords="541,1839,900,1765,1821">quebrados</WORD>
<WORD coords="945,1848,1367,1767,1828">homogéneos</WORD>
<WORD coords="1411,1834,1450,1776,1838">é</WORD>
<WORD coords="1498,1857,1737,1782,1837">iguales</WORD>
<WORD coords="1787,1862,2359,1793,1849">respectivamente.</WORD>
<WORD coords="2615,1868,2718,1791,1867">IT</WORD>
<WORD coords="2704,1871,2799,1753,1828">é&apos;^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="790,1937,1280,1873,1932">Demostración.</WORD>
<WORD coords="1331,1942,1438,1882,1941">Un</WORD>
<WORD coords="1480,1962,1800,1889,1945">quebrado</WORD>
<WORD coords="1829,1949,1909,1913,1949">no</WORD>
<WORD coords="1965,1954,2029,1915,1953">se</WORD>
<WORD coords="2076,1978,2306,1902,1957">altera,</WORD>
<WORD coords="2363,1967,2600,1911,1966">cuando</WORD>
<WORD coords="2643,1973,2709,1935,1972">se</WORD>
<WORD coords="2742,1980,2903,1922,1978">mul-</WORD>
</LINE>
<LINE>
<WORD coords="533,2051,789,1975,2035">tiplican</WORD>
<WORD coords="853,2042,957,2002,2039">sus</WORD>
<WORD coords="1013,2042,1124,1985,2041">dos</WORD>
<WORD coords="1171,2048,1470,1989,2045">términos</WORD>
<WORD coords="1531,2069,1641,2014,2051">por</WORD>
<WORD coords="1695,2055,1775,2017,2055">un</WORD>
<WORD coords="1816,2060,2042,2001,2058">mismo</WORD>
<WORD coords="2106,2070,2368,2027,2066">numero</WORD>
<WORD coords="2444,2095,2469,2021,2084">(</WORD>
<WORD coords="2507,2073,2621,2022,2072">109</WORD>
<WORD coords="2653,2092,2682,2023,2089">)</WORD>
<WORD coords="2713,2086,2730,2046,2086">;</WORD>
<WORD coords="2792,2099,2824,2042,2099">p</WORD>
<WORD coords="2831,2083,2863,2045,2083">e</WORD>
<WORD coords="2876,2075,2894,2061,2075">.</WORD>
</LINE>
<LINE>
<WORD coords="531,2142,604,2100,2141">ro</WORD>
<WORD coords="672,2141,725,2086,2140">al</WORD>
<WORD coords="799,2145,989,2086,2143">haber</WORD>
<WORD coords="1068,2153,1379,2094,2150">reducido</WORD>
<WORD coords="1466,2157,1556,2098,2155">los</WORD>
<WORD coords="1632,2177,1981,2105,2162">quebrados</WORD>
<WORD coords="2026,2168,2056,2112,2168">á</WORD>
<WORD coords="2114,2171,2199,2132,2171">un</WORD>
<WORD coords="2245,2179,2470,2135,2174">común</WORD>
<WORD coords="2535,2190,2894,2123,2183">denomina-</WORD>
</LINE>
<LINE>
<WORD coords="530,2249,647,2190,2247">dor</WORD>
<WORD coords="682,2264,701,2236,2266">,</WORD>
<WORD coords="753,2252,965,2192,2251">hemos</WORD>
<WORD coords="1030,2277,1459,2199,2256">multiplicado</WORD>
<WORD coords="1504,2265,1598,2205,2262">los</WORD>
<WORD coords="1641,2267,1758,2209,2265">dos</WORD>
<WORD coords="1799,2274,2101,2214,2270">términos</WORD>
<WORD coords="2158,2276,2234,2220,2276">de</WORD>
<WORD coords="2290,2282,2442,2223,2280">cada</WORD>
<WORD coords="2495,2284,2618,2245,2283">uno</WORD>
<WORD coords="2663,2305,2776,2248,2287">por</WORD>
<WORD coords="2807,2295,2892,2252,2294">un</WORD>
</LINE>
<LINE>
<WORD coords="523,2357,756,2298,2355">mismo</WORD>
<WORD coords="810,2375,1108,2321,2359">numero;</WORD>
<WORD coords="1153,2384,1388,2324,2364">porque</WORD>
<WORD coords="1435,2368,1508,2330,2368">en</WORD>
<WORD coords="1564,2372,1616,2316,2371">el</WORD>
<WORD coords="1663,2374,1717,2324,2373">2.</WORD>
<WORD coords="1749,2356,1783,2318,2356">o</WORD>
<WORD coords="1840,2399,2108,2320,2377">ejemplo</WORD>
<WORD coords="2161,2384,2215,2327,2382">el</WORD>
<WORD coords="2271,2389,2648,2332,2387">numerador</WORD>
<WORD coords="2696,2392,2723,2342,2392">1</WORD>
<WORD coords="2779,2396,2892,2335,2394">he-</WORD>
</LINE>
<LINE>
<WORD coords="522,2464,667,2423,2463">mos</WORD>
<WORD coords="713,2485,1145,2411,2466">multiplicado</WORD>
<WORD coords="1194,2489,1301,2434,2471">por</WORD>
<WORD coords="1351,2473,1393,2423,2478">4</WORD>
<WORD coords="1424,2478,1604,2438,2476">veces</WORD>
<WORD coords="1652,2496,1731,2431,2490">8,</WORD>
<WORD coords="1783,2504,1823,2446,2496">y</WORD>
<WORD coords="1868,2489,2085,2428,2486">hemos</WORD>
<WORD coords="2140,2493,2338,2432,2491">hecho</WORD>
<WORD coords="2384,2494,2444,2438,2493">lo</WORD>
<WORD coords="2489,2500,2716,2439,2497">mismo</WORD>
<WORD coords="2759,2506,2884,2463,2504">coa</WORD>
</LINE>
<LINE>
<WORD coords="516,2568,573,2512,2566">el</WORD>
<WORD coords="630,2576,1081,2513,2572">denominador</WORD>
<WORD coords="1109,2577,1146,2529,2583">2</WORD>
<WORD coords="1181,2585,1200,2545,2587">;</WORD>
<WORD coords="1241,2579,1295,2523,2578">el</WORD>
<WORD coords="1339,2586,1710,2528,2583">numerador</WORD>
<WORD coords="1759,2588,1792,2539,2588">3</WORD>
<WORD coords="1848,2591,1947,2535,2591">del</WORD>
<WORD coords="1999,2615,2280,2541,2595">segundo</WORD>
<WORD coords="2336,2620,2654,2544,2602">quebrado</WORD>
<WORD coords="2703,2608,2766,2570,2607">se</WORD>
<WORD coords="2800,2612,2881,2552,2610">ha</WORD>
</LINE>
<LINE>
<WORD coords="516,2690,956,2619,2677">multiplicado</WORD>
<WORD coords="1008,2702,1119,2643,2682">por</WORD>
<WORD coords="1188,2686,1225,2635,2690">2</WORD>
<WORD coords="1273,2687,1453,2649,2685">veces</WORD>
<WORD coords="1509,2692,1542,2642,2693">8</WORD>
<WORD coords="1601,2714,1641,2655,2705">y</WORD>
<WORD coords="1695,2696,1800,2637,2695">del</WORD>
<WORD coords="1857,2700,2086,2641,2698">mismo</WORD>
<WORD coords="2134,2705,2322,2648,2703">modo</WORD>
<WORD coords="2383,2708,2456,2670,2707">su</WORD>
<WORD coords="2511,2716,2873,2653,2710">denomina-</WORD>
</LINE>
<LINE>
<WORD coords="512,2789,633,2730,2787">dor</WORD>
<WORD coords="695,2789,728,2741,2796">4</WORD>
<WORD coords="764,2805,779,2757,2804">;</WORD>
<WORD coords="839,2792,947,2734,2789">&amp;c.</WORD>
<WORD coords="1042,2814,1264,2734,2791">Luego</WORD>
<WORD coords="1320,2797,1412,2739,2796">los</WORD>
<WORD coords="1487,2803,1722,2762,2800">nuevos</WORD>
<WORD coords="1805,2822,2153,2751,2806">quehrados</WORD>
<WORD coords="2224,2812,2331,2775,2811">son</WORD>
<WORD coords="2390,2836,2627,2756,2813">iguales</WORD>
<WORD coords="2681,2818,2713,2763,2818">á</WORD>
<WORD coords="2781,2824,2874,2765,2821">loa</WORD>
</LINE>
<LINE>
<WORD coords="510,2914,866,2850,2894">primitivos</WORD>
<WORD coords="898,2912,915,2884,2912">,</WORD>
<WORD coords="953,2917,992,2862,2912">y</WORD>
<WORD coords="1054,2899,1083,2863,2899">a</WORD>
<WORD coords="1137,2902,1269,2863,2900">mas</WORD>
<WORD coords="1328,2903,1405,2846,2902">de</WORD>
<WORD coords="1465,2905,1599,2862,2904">esto</WORD>
<WORD coords="1645,2908,1754,2871,2907">son</WORD>
<WORD coords="1814,2935,2233,2853,2912">homogéneos</WORD>
<WORD coords="2262,2934,2279,2905,2934">,</WORD>
<WORD coords="2324,2939,2475,2881,2919">pues</WORD>
<WORD coords="2533,2920,2636,2882,2918">sus</WORD>
<WORD coords="2677,2926,2871,2866,2924">deno-</WORD>
</LINE>
<LINE>
<WORD coords="505,3003,865,2943,3000">minadores</WORD>
<WORD coords="912,3003,977,2967,3002">se</WORD>
<WORD coords="1023,3028,1369,2968,3006">componen</WORD>
<WORD coords="1416,3009,1493,2953,3009">da</WORD>
<WORD coords="1539,3013,1691,2975,3012">unos</WORD>
<WORD coords="1740,3018,1995,2960,3016">mismos</WORD>
<WORD coords="2054,3038,2342,2962,3021">factores,</WORD>
<WORD coords="2388,3026,2466,2970,3026">L.</WORD>
<WORD coords="2513,3039,2598,2967,3031">Q.</WORD>
<WORD coords="2653,3029,2728,2972,3028">D.</WORD>
<WORD coords="2788,3032,2870,2974,3030">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="593,3111,733,3057,3111">113.</WORD>
<WORD coords="827,3113,1089,3054,3111">Escolio.</WORD>
<WORD coords="1192,3117,1455,3059,3115">Cuando</WORD>
<WORD coords="1524,3119,1615,3062,3118">los</WORD>
<WORD coords="1681,3128,2202,3065,3124">denominadores</WORD>
<WORD coords="2249,3130,2325,3076,3129">de</WORD>
<WORD coords="2369,3134,2463,3076,3132">los</WORD>
<WORD coords="2515,3151,2870,3077,3133">quebrados</WORD>
</LINE>
<LINE>
<WORD coords="499,3214,618,3172,3212">son</WORD>
<WORD coords="681,3216,947,3156,3214">factores</WORD>
<WORD coords="1004,3221,1104,3161,3219">del</WORD>
<WORD coords="1157,3226,1614,3164,3222">denominador</WORD>
<WORD coords="1667,3248,1888,3190,3226">mayor</WORD>
<WORD coords="1942,3248,2060,3194,3231">que</WORD>
<WORD coords="2128,3255,2328,3176,3233">haya,</WORD>
<WORD coords="2395,3239,2459,3202,3239">se</WORD>
<WORD coords="2545,3245,2867,3186,3241">abreviará</WORD>
</LINE>
<LINE>
<WORD coords="495,3320,559,3260,3319">la</WORD>
<WORD coords="617,3338,976,3265,3320">reducción,</WORD>
<WORD coords="1024,3346,1501,3272,3328">multiplicando</WORD>
<WORD coords="1563,3333,1653,3277,3332">los</WORD>
<WORD coords="1698,3336,1817,3279,3334">dos</WORD>
<WORD coords="1866,3341,2168,3282,3337">términos</WORD>
<WORD coords="2229,3361,2336,3306,3340">por</WORD>
<WORD coords="2395,3346,2447,3290,3344">el</WORD>
<WORD coords="2487,3347,2691,3287,3345">factor</WORD>
<WORD coords="2747,3364,2869,3312,3350">que</WORD>
</LINE>
<LINE>
<WORD coords="493,3429,554,3368,3427">le</WORD>
<WORD coords="614,3427,762,3368,3425">falta</WORD>
<WORD coords="839,3429,869,3375,3434">á</WORD>
<WORD coords="924,3432,996,3393,3430">su</WORD>
<WORD coords="1059,3438,1510,3377,3435">denominador</WORD>
<WORD coords="1543,3456,1561,3427,3456">,</WORD>
<WORD coords="1634,3458,1775,3403,3440">para</WORD>
<WORD coords="1836,3442,1936,3404,3441">ser</WORD>
<WORD coords="2004,3463,2170,3388,3443">igual</WORD>
<WORD coords="2256,3446,2368,3410,3446">con</WORD>
<WORD coords="2459,3450,2515,3396,3449">el</WORD>
<WORD coords="2594,3470,2808,3414,3450">mayor</WORD>
<WORD coords="2841,3468,2864,3420,3468">%</WORD>
</LINE>
<LINE>
<WORD coords="494,3535,620,3476,3532">Asi</WORD>
<WORD coords="678,3533,752,3497,3533">en</WORD>
<WORD coords="811,3535,900,3479,3534">los</WORD>
<WORD coords="964,3555,1314,3481,3538">quebrados</WORD>
<WORD coords="1382,3543,1483,3487,3542">del</WORD>
<WORD coords="1546,3567,1815,3488,3544">ejemplo</WORD>
<WORD coords="1888,3565,2201,3496,3548">anterior,</WORD>
<WORD coords="2261,3554,2530,3496,3552">observo</WORD>
<WORD coords="2593,3573,2712,3519,3555">que</WORD>
<WORD coords="2769,3556,2862,3501,3555">los</WORD>
</LINE>
<LINE>
<WORD coords="487,3643,1015,3581,3639">denominadores</WORD>
<WORD coords="1065,3645,1100,3597,3648">2</WORD>
<WORD coords="1147,3665,1182,3610,3658">y</WORD>
<WORD coords="1238,3647,1279,3599,3649">4</WORD>
<WORD coords="1339,3650,1446,3614,3648">son</WORD>
<WORD coords="1503,3652,1771,3591,3650">factores</WORD>
<WORD coords="1831,3655,1930,3599,3653">del</WORD>
<WORD coords="2013,3677,2226,3619,3655">mayor</WORD>
<WORD coords="2279,3662,2729,3601,3659">denominador</WORD>
<WORD coords="2796,3681,2859,3615,3672">8;</WORD>
</LINE>
<LINE>
<WORD coords="485,3764,835,3688,3744">multiplico</WORD>
<WORD coords="870,3760,886,3735,3760">,</WORD>
<WORD coords="935,3766,1082,3712,3748">pues</WORD>
<WORD coords="1120,3765,1134,3739,3760">,</WORD>
<WORD coords="1191,3753,1282,3699,3752">los</WORD>
<WORD coords="1341,3755,1455,3698,3753">dos</WORD>
<WORD coords="1508,3758,1810,3701,3756">términos</WORD>
<WORD coords="1867,3759,1963,3704,3758">del</WORD>
<WORD coords="2011,3779,2243,3708,3759">primer</WORD>
<WORD coords="2287,3782,2605,3712,3765">quebrado</WORD>
<WORD coords="2644,3787,2752,3731,3767">por</WORD>
<WORD coords="2786,3787,2851,3720,3778">4,</WORD>
</LINE>
<LINE>
<WORD coords="483,3869,607,3813,3849">que</WORD>
<WORD coords="667,3851,731,3815,3851">es</WORD>
<WORD coords="795,3852,853,3799,3851">el</WORD>
<WORD coords="916,3855,1116,3797,3853">factor</WORD>
<WORD coords="1168,3875,1285,3823,3858">que</WORD>
<WORD coords="1340,3860,1489,3803,3858">falta</WORD>
<WORD coords="1543,3861,1575,3807,3862">á</WORD>
<WORD coords="1625,3863,1694,3828,3862">su</WORD>
<WORD coords="1751,3865,2208,3808,3864">denominador</WORD>
<WORD coords="2275,3887,2419,3833,3871">para</WORD>
<WORD coords="2465,3875,2847,3819,3871">convertirse</WORD>
</LINE>
<LINE>
<WORD coords="484,3957,559,3921,3956">en</WORD>
<WORD coords="610,3957,642,3909,3962">8</WORD>
<WORD coords="679,3960,691,3924,3964">:</WORD>
<WORD coords="749,3977,1097,3903,3958">multiplico</WORD>
<WORD coords="1144,3966,1416,3910,3964">también</WORD>
<WORD coords="1465,3966,1553,3911,3965">los</WORD>
<WORD coords="1612,3969,1723,3912,3968">dos</WORD>
<WORD coords="1793,3970,2091,3916,3969">términos</WORD>
<WORD coords="2149,3974,2246,3918,3972">del</WORD>
<WORD coords="2300,3998,2575,3924,3976">segundo</WORD>
<WORD coords="2627,3991,2735,3942,3975">por</WORD>
<WORD coords="2789,3993,2853,3931,3986">2,</WORD>
</LINE>
<LINE>
<WORD coords="485,4087,606,4028,4067">que</WORD>
<WORD coords="666,4069,732,4031,4068">es</WORD>
<WORD coords="776,4069,834,4011,4068">el</WORD>
<WORD coords="886,4072,1085,4011,4071">f^Uor</WORD>
<WORD coords="1146,4092,1265,4036,4073">que</WORD>
<WORD coords="1325,4076,1474,4016,4074">falta</WORD>
<WORD coords="1517,4075,1549,4019,4077">á</WORD>
<WORD coords="1603,4077,1678,4038,4076">su</WORD>
<WORD coords="1736,4081,2186,4020,4079">denominador</WORD>
<WORD coords="2235,4083,2276,4031,4083">4</WORD>
<WORD coords="2318,4105,2467,4047,4086">para</WORD>
<WORD coords="2510,4093,2910,4029,4087">convenir-*.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0074.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0075.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0075.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1328,626,1472,534,625">65</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="212,770,283,728,768">se</WORD>
<WORD coords="339,763,413,721,762">en</WORD>
<WORD coords="470,757,525,701,757">el</WORD>
<WORD coords="575,776,792,711,752">mayor</WORD>
<WORD coords="836,753,1289,690,749">denominador</WORD>
<WORD coords="1336,748,1372,700,748">8</WORD>
<WORD coords="1409,766,1425,735,766">,</WORD>
<WORD coords="1474,766,1513,709,766">y</WORD>
<WORD coords="1568,768,1756,700,745">tengo</WORD>
<WORD coords="1807,746,1900,687,744">los</WORD>
<WORD coords="1958,762,2308,683,743">quebrados</WORD>
<WORD coords="2384,740,2581,697,739">seme-</WORD>
</LINE>
<LINE>
<WORD coords="208,899,422,816,871">jantes</WORD>
<WORD coords="468,887,708,811,871">4,6,</WORD>
<WORD coords="805,860,864,813,859">5.</WORD>
</LINE>
<LINE>
<WORD coords="472,975,508,927,973">8</WORD>
<WORD coords="637,972,674,923,972">8</WORD>
<WORD coords="801,969,859,887,966">¡f</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="468,1096,751,1024,1079">Siempre</WORD>
<WORD coords="804,1092,923,1038,1075">que</WORD>
<WORD coords="975,1074,1067,1017,1071">los</WORD>
<WORD coords="1115,1072,1636,1012,1069">denominadores</WORD>
<WORD coords="1686,1089,1911,1022,1066">tengan</WORD>
<WORD coords="1957,1066,2228,1009,1063">factores</WORD>
<WORD coords="2274,1069,2597,1017,1056">comunes*</WORD>
</LINE>
<LINE>
<WORD coords="217,1195,265,1130,1193">¿</WORD>
<WORD coords="313,1192,456,1152,1190">sean</WORD>
<WORD coords="513,1187,601,1133,1186">los</WORD>
<WORD coords="650,1187,804,1143,1185">unos</WORD>
<WORD coords="863,1185,1133,1125,1181">fu.tores</WORD>
<WORD coords="1187,1179,1263,1124,1177">de</WORD>
<WORD coords="1305,1177,1396,1123,1176">los</WORD>
<WORD coords="1440,1193,1663,1131,1174">otros,</WORD>
<WORD coords="1720,1173,1783,1138,1173">se</WORD>
<WORD coords="1838,1172,2167,1115,1170">reducirán</WORD>
<WORD coords="2225,1165,2254,1114,1170">á</WORD>
<WORD coords="2322,1167,2402,1129,1165">un</WORD>
<WORD coords="2482,1165,2594,1125,1163">co-</WORD>
</LINE>
<LINE>
<WORD coords="221,1304,370,1262,1301">mún</WORD>
<WORD coords="419,1297,871,1235,1292">denominador</WORD>
<WORD coords="916,1289,1029,1251,1287">con</WORD>
<WORD coords="1079,1287,1206,1249,1285">mas</WORD>
<WORD coords="1254,1287,1618,1223,1282">brevedad,</WORD>
<WORD coords="1664,1301,1703,1243,1291">y</WORD>
<WORD coords="1750,1280,1806,1224,1279">al</WORD>
<WORD coords="1874,1279,2098,1223,1276">mismo</WORD>
<WORD coords="2148,1286,2383,1217,1271">tiempo</WORD>
<WORD coords="2441,1288,2593,1231,1270">que-</WORD>
</LINE>
<LINE>
<WORD coords="225,1412,415,1353,1408">darán</WORD>
<WORD coords="473,1417,958,1342,1400">simplificados,</WORD>
<WORD coords="1002,1396,1116,1359,1394">con</WORD>
<WORD coords="1177,1415,1389,1337,1391">seguir</WORD>
<WORD coords="1443,1389,1574,1344,1388">esta</WORD>
<WORD coords="1633,1409,1801,1333,1387">regla</WORD>
<WORD coords="1849,1409,2119,1330,1385">general.</WORD>
<WORD coords="2172,1380,2463,1322,1377">Hállense</WORD>
<WORD coords="2504,1375,2596,1329,1375">to-</WORD>
</LINE>
<LINE>
<WORD coords="228,1518,336,1461,1516">dos</WORD>
<WORD coords="396,1516,481,1457,1515">ks</WORD>
<WORD coords="518,1534,799,1453,1510">factores</WORD>
<WORD coords="849,1521,1094,1447,1501">simples</WORD>
<WORD coords="1142,1501,1214,1445,1500">de</WORD>
<WORD coords="1256,1500,1406,1442,1499">cada</WORD>
<WORD coords="1483,1497,1913,1437,1494">denominador</WORD>
<WORD coords="1944,1510,1962,1480,1510">,</WORD>
<WORD coords="2018,1512,2059,1455,1504">y</WORD>
<WORD coords="2138,1492,2191,1437,1492">el</WORD>
<WORD coords="2247,1490,2595,1431,1485">denomina»</WORD>
</LINE>
<LINE>
<WORD coords="228,1625,341,1567,1622">dor</WORD>
<WORD coords="385,1621,591,1581,1619">común</WORD>
<WORD coords="639,1638,750,1575,1614">que</WORD>
<WORD coords="800,1611,865,1576,1610">se</WORD>
<WORD coords="912,1610,1091,1552,1608">busca</WORD>
<WORD coords="1124,1618,1141,1594,1612">,</WORD>
<WORD coords="1171,1606,1311,1569,1605">sera</WORD>
<WORD coords="1351,1623,1522,1544,1602">igual</WORD>
<WORD coords="1575,1601,1637,1546,1600">al</WORD>
<WORD coords="1660,1621,1956,1542,1598">producto</WORD>
<WORD coords="2000,1598,2071,1542,1598">de</WORD>
<WORD coords="2116,1598,2281,1540,1597">todos</WORD>
<WORD coords="2334,1594,2420,1539,1593">los</WORD>
<WORD coords="2444,1613,2598,1534,1597">fac-</WORD>
</LINE>
<LINE>
<WORD coords="230,1733,393,1684,1729">tores</WORD>
<WORD coords="452,1747,695,1666,1722">simples</WORD>
<WORD coords="756,1743,1088,1661,1718">diferentes</WORD>
<WORD coords="1146,1738,1260,1673,1712">que</WORD>
<WORD coords="1316,1713,1379,1673,1712">se</WORD>
<WORD coords="1458,1729,1666,1654,1708">hayan</WORD>
<WORD coords="1723,1706,2087,1648,1704">encontrado</WORD>
<WORD coords="2119,1719,2136,1691,1714">,</WORD>
<WORD coords="2183,1701,2428,1642,1699">estando</WORD>
<WORD coords="2489,1696,2595,1658,1694">ca*</WORD>
</LINE>
<LINE>
<WORD coords="227,1841,307,1783,1840">da</WORD>
<WORD coords="364,1837,481,1797,1836">uno</WORD>
<WORD coords="538,1854,803,1773,1830">repetido</WORD>
<WORD coords="859,1827,1069,1779,1824">tantas</WORD>
<WORD coords="1112,1824,1281,1781,1821">veces</WORD>
<WORD coords="1352,1821,1511,1781,1819">como</WORD>
<WORD coords="1577,1817,1633,1761,1817">el</WORD>
<WORD coords="1672,1840,1785,1779,1815">que</WORD>
<WORD coords="1850,1815,1977,1776,1814">mas</WORD>
<WORD coords="2035,1811,2099,1773,1810">se</WORD>
<WORD coords="2159,1809,2480,1761,1807">encuentre</WORD>
<WORD coords="2525,1804,2600,1748,1804">de</WORD>
</LINE>
<LINE>
<WORD coords="225,1947,316,1888,1945">los</WORD>
<WORD coords="369,1942,865,1882,1938">denominadores</WORD>
<WORD coords="940,1934,1183,1874,1931">dados;</WORD>
<WORD coords="1255,1948,1294,1892,1948">y</WORD>
<WORD coords="1343,1948,1507,1880,1925">para</WORD>
<WORD coords="1577,1925,1778,1867,1923">hallar</WORD>
<WORD coords="1834,1922,1919,1865,1920">los</WORD>
<WORD coords="1973,1920,2415,1858,1916">numeradores,</WORD>
<WORD coords="2459,1912,2597,1873,1911">res*</WORD>
</LINE>
<LINE>
<WORD coords="219,2077,267,2008,2077">f</WORD>
<WORD coords="274,2051,495,1994,2049">ectivos</WORD>
<WORD coords="527,2066,549,2032,2056">,</WORD>
<WORD coords="592,2046,657,2009,2045">se</WORD>
<WORD coords="718,2063,1126,1983,2039">multiplicara</WORD>
<WORD coords="1173,2037,1229,1981,2036">el</WORD>
<WORD coords="1277,2035,1642,1974,2031">numerador</WORD>
<WORD coords="1696,2030,1768,1974,2030">de</WORD>
<WORD coords="1809,2026,1957,1971,2025">cada</WORD>
<WORD coords="2002,2048,2304,1964,2021">quebrado</WORD>
<WORD coords="2342,2042,2463,1974,2019">por</WORD>
<WORD coords="2505,2018,2597,1961,2017">los</WORD>
</LINE>
<LINE>
<WORD coords="208,2183,500,2100,2158">factores</WORD>
<WORD coords="546,2178,659,2115,2152">que</WORD>
<WORD coords="707,2151,758,2095,2150">le</WORD>
<WORD coords="788,2173,1000,2091,2153">futen</WORD>
<WORD coords="1053,2146,1094,2109,2146">a</WORD>
<WORD coords="1148,2145,1221,2105,2145">su</WORD>
<WORD coords="1261,2143,1695,2078,2139">denominador</WORD>
<WORD coords="1756,2159,1920,2088,2134">para</WORD>
<WORD coords="1979,2133,2357,2071,2129">convertirse</WORD>
<WORD coords="2411,2126,2483,2086,2126">en</WORD>
<WORD coords="2542,2125,2605,2065,2124">el</WORD>
</LINE>
<LINE>
<WORD coords="226,2267,663,2207,2260">átnominador</WORD>
<WORD coords="707,2257,943,2217,2256">común*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="479,2388,776,2306,2364">Ejemplo,</WORD>
<WORD coords="868,2363,1136,2304,2361">Tratase</WORD>
<WORD coords="1193,2361,1274,2298,2360">de</WORD>
<WORD coords="1326,2357,1581,2292,2355">reducir</WORD>
<WORD coords="1643,2353,1676,2294,2353">á</WORD>
<WORD coords="1748,2370,2102,2287,2348">quebrados</WORD>
<WORD coords="2171,2360,2604,2283,2340">homogéneos</WORD>
</LINE>
<LINE>
<WORD coords="211,2496,298,2427,2489">5,</WORD>
<WORD coords="379,2491,464,2424,2485">7,</WORD>
<WORD coords="552,2476,617,2425,2476">11</WORD>
<WORD coords="686,2496,723,2438,2487">y</WORD>
<WORD coords="788,2473,883,2421,2472">13.</WORD>
</LINE>
<LINE>
<WORD coords="218,2588,257,2536,2588">8</WORD>
<WORD coords="382,2591,459,2540,2588">12</WORD>
<WORD coords="546,2582,621,2532,2582">18</WORD>
<WORD coords="791,2579,875,2527,2578">24</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="475,2695,665,2637,2693">Hallo</WORD>
<WORD coords="738,2690,829,2635,2688">los</WORD>
<WORD coords="875,2692,1141,2630,2688">factores</WORD>
<WORD coords="1185,2704,1440,2624,2683">simples</WORD>
<WORD coords="1487,2681,1566,2622,2679">de</WORD>
<WORD coords="1620,2677,1773,2617,2675">cada</WORD>
<WORD coords="1829,2680,2335,2611,2667">denominador,</WORD>
<WORD coords="2385,2683,2425,2627,2679">y</WORD>
<WORD coords="2466,2661,2603,2615,2661">ten.</WORD>
</LINE>
<LINE>
<WORD coords="215,2828,299,2768,2800">go</WORD>
<WORD coords="368,2822,489,2766,2802">que</WORD>
<WORD coords="558,2800,651,2743,2799">los</WORD>
<WORD coords="708,2798,808,2741,2797">del</WORD>
<WORD coords="856,2796,890,2747,2795">8</WORD>
<WORD coords="955,2795,1064,2758,2794">son</WORD>
<WORD coords="1122,2809,1446,2742,2797">2,2,2;</WORD>
<WORD coords="1501,2785,1592,2732,2784">los</WORD>
<WORD coords="1665,2782,1766,2726,2780">del</WORD>
<WORD coords="1830,2779,1903,2730,2780">12</WORD>
<WORD coords="1957,2775,2065,2738,2773">son</WORD>
<WORD coords="2128,2790,2451,2719,2780">2,2,3;</WORD>
<WORD coords="2502,2770,2598,2714,2768">los</WORD>
</LINE>
<LINE>
<WORD coords="218,2914,319,2855,2912">del</WORD>
<WORD coords="383,2912,456,2861,2909">18</WORD>
<WORD coords="514,2907,623,2869,2906">sen</WORD>
<WORD coords="671,2905,707,2860,2905">2</WORD>
<WORD coords="742,2920,761,2893,2911">,</WORD>
<WORD coords="788,2902,820,2853,2902">3</WORD>
<WORD coords="853,2916,867,2891,2908">,</WORD>
<WORD coords="900,2900,932,2852,2900">3</WORD>
<WORD coords="963,2918,984,2867,2918">;</WORD>
<WORD coords="1026,2922,1062,2864,2910">y</WORD>
<WORD coords="1109,2899,1200,2844,2899">los</WORD>
<WORD coords="1247,2897,1348,2841,2896">del</WORD>
<WORD coords="1403,2895,1485,2844,2894">24</WORD>
<WORD coords="1541,2891,1652,2853,2889">son</WORD>
<WORD coords="1705,2899,2028,2834,2891">2,2,2,</WORD>
<WORD coords="2085,2878,2142,2829,2877">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="472,3015,696,2957,3013">Donde</WORD>
<WORD coords="768,3011,1050,2954,3008">advierto</WORD>
<WORD coords="1100,3024,1218,2969,3006">que</WORD>
<WORD coords="1274,3003,1365,2948,3002">ios</WORD>
<WORD coords="1424,3000,1692,2941,2996">factores</WORD>
<WORD coords="1748,3004,2000,2936,2988">simples</WORD>
<WORD coords="2062,2991,2397,2922,2983">diferentes</WORD>
<WORD coords="2483,2983,2596,2941,2981">son</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="222,3129,260,3076,3129">2</WORD>
<WORD coords="302,3145,343,3089,3141">y</WORD>
<WORD coords="434,3138,517,3073,3126">aj</WORD>
<WORD coords="579,3139,697,3082,3119">que</WORD>
<WORD coords="741,3119,796,3061,3118">el</WORD>
<WORD coords="858,3116,894,3068,3115">2</WORD>
<WORD coords="949,3114,1003,3061,3113">el</WORD>
<WORD coords="1063,3133,1280,3072,3112">mayor</WORD>
<WORD coords="1325,3107,1583,3066,3104">numero</WORD>
<WORD coords="1636,3099,1713,3044,3098">de</WORD>
<WORD coords="1766,3095,1948,3057,3093">veces</WORD>
<WORD coords="2006,3105,2123,3052,3089">que</WORD>
<WORD coords="2180,3095,2307,3034,3091">está</WORD>
<WORD coords="2364,3104,2592,3032,3088">repeti.</WORD>
</LINE>
<LINE>
<WORD coords="221,3236,306,3179,3235">do</WORD>
<WORD coords="366,3235,432,3197,3233">es</WORD>
<WORD coords="481,3231,606,3186,3228">tres</WORD>
<WORD coords="695,3227,875,3188,3225">veces</WORD>
<WORD coords="905,3238,921,3212,3238">,</WORD>
<WORD coords="971,3243,1010,3184,3232">y</WORD>
<WORD coords="1055,3221,1109,3166,3220">el</WORD>
<WORD coords="1172,3221,1203,3173,3219">3</WORD>
<WORD coords="1259,3218,1373,3161,3215">dos</WORD>
<WORD coords="1407,3223,1425,3200,3223">,</WORD>
<WORD coords="1469,3229,1580,3170,3208">por</WORD>
<WORD coords="1638,3222,2059,3145,3199">consiguiente</WORD>
<WORD coords="2106,3195,2162,3137,3194">el</WORD>
<WORD coords="2220,3195,2592,3135,3192">denomina-</WORD>
</LINE>
<LINE>
<WORD coords="223,3355,343,3294,3352">dor</WORD>
<WORD coords="395,3350,620,3309,3347">común</WORD>
<WORD coords="672,3343,804,3304,3341">sera</WORD>
<WORD coords="839,3338,872,3292,3338">2</WORD>
<WORD coords="926,3359,996,3291,3359">X</WORD>
<WORD coords="1027,3337,1067,3287,3337">2</WORD>
<WORD coords="1125,3355,1195,3295,3355">X</WORD>
<WORD coords="1223,3333,1260,3283,3333">2</WORD>
<WORD coords="1311,3345,1383,3275,3345">X</WORD>
<WORD coords="1420,3325,1451,3274,3325">«</WORD>
<WORD coords="1506,3340,1578,3268,3340">X</WORD>
<WORD coords="1613,3315,1641,3267,3319">3</WORD>
<WORD coords="1671,3312,1777,3273,3318">=</WORD>
<WORD coords="1806,3313,1880,3262,3313">T2</WORD>
<WORD coords="1913,3323,1929,3277,3323">;</WORD>
<WORD coords="1986,3325,2021,3272,3324">y</WORD>
<WORD coords="2067,3324,2218,3264,3304">para</WORD>
<WORD coords="2273,3302,2466,3245,3300">hallar</WORD>
<WORD coords="2500,3302,2593,3245,3299">los</WORD>
</LINE>
<LINE>
<WORD coords="222,3461,670,3398,3454">numeradores</WORD>
<WORD coords="718,3465,1098,3387,3444">respectivos</WORD>
<WORD coords="1140,3452,1156,3429,3445">,</WORD>
<WORD coords="1199,3438,1262,3401,3438">se</WORD>
<WORD coords="1315,3445,1725,3368,3426">multiplicará</WORD>
<WORD coords="1793,3418,1851,3363,3417">el</WORD>
<WORD coords="1914,3414,1991,3357,3413">de</WORD>
<WORD coords="2059,3412,2213,3353,3410">cada</WORD>
<WORD coords="2271,3424,2592,3350,3405">quebrado</WORD>
</LINE>
<LINE>
<WORD coords="220,3584,334,3528,3564">por</WORD>
<WORD coords="381,3562,470,3508,3561">los</WORD>
<WORD coords="524,3561,791,3502,3557">factores</WORD>
<WORD coords="853,3573,972,3515,3552">que</WORD>
<WORD coords="1022,3550,1211,3491,3545">falten</WORD>
<WORD coords="1259,3540,1286,3507,3540">a</WORD>
<WORD coords="1343,3539,1447,3501,3537">sus</WORD>
<WORD coords="1479,3533,2005,3468,3525">denominadores</WORD>
<WORD coords="2060,3535,2207,3477,3514">para</WORD>
<WORD coords="2240,3515,2587,3467,3510">convertir-</WORD>
</LINE>
<LINE>
<WORD coords="216,3677,284,3639,3676">se</WORD>
<WORD coords="338,3673,419,3636,3672">en</WORD>
<WORD coords="479,3672,534,3615,3670">el</WORD>
<WORD coords="590,3666,836,3629,3664">común.</WORD>
<WORD coords="975,3658,1093,3604,3656">Por</WORD>
<WORD coords="1138,3654,1307,3604,3650">tanto</WORD>
<WORD coords="1341,3660,1357,3634,3651">,</WORD>
<WORD coords="1384,3643,1440,3586,3641">el</WORD>
<WORD coords="1493,3639,1869,3575,3633">numerador</WORD>
<WORD coords="1917,3625,1950,3576,3632">5</WORD>
<WORD coords="2000,3622,2097,3565,3620">del</WORD>
<WORD coords="2161,3623,2197,3569,3623">f</WORD>
<WORD coords="2201,3623,2218,3604,3639">.</WORD>
<WORD coords="2240,3603,2278,3563,3603">o</WORD>
<WORD coords="2322,3616,2386,3579,3615">se</WORD>
<WORD coords="2419,3615,2580,3558,3615">muí-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="739,3750,768,3722,3750">o</WORD>
<WORD coords="830,3750,897,3721,3750">w</WORD>
<WORD coords="955,3750,985,3716,3748">*</WORD>
<WORD coords="1024,3746,1037,3733,3746">.</WORD>
<WORD coords="1215,3750,1246,3709,3750">7</WORD>
<WORD coords="1317,3750,1417,3693,3748">del</WORD>
<WORD coords="1488,3747,1611,3688,3742">2.°</WORD>
<WORD coords="1682,3750,1790,3701,3739">por</WORD>
<WORD coords="1851,3735,1887,3687,3735">2</WORD>
<WORD coords="1947,3740,2013,3676,3740">X</WORD>
<WORD coords="2057,3726,2086,3678,3729">3</WORD>
<WORD coords="2121,3735,2137,3692,3734">;</WORD>
<WORD coords="2204,3726,2258,3669,3724">el</WORD>
<WORD coords="2335,3724,2402,3675,3729">11</WORD>
<WORD coords="2477,3726,2582,3664,3721">del</WORD>
</LINE>
<LINE>
<WORD coords="223,3799,505,3731,3783">tiphcara</WORD>
<WORD coords="567,3795,678,3738,3776">por</WORD>
<WORD coords="736,3773,770,3721,3778">3</WORD>
<WORD coords="830,3788,900,3720,3788">X</WORD>
<WORD coords="954,3765,986,3716,3765">3</WORD>
<WORD coords="1022,3778,1039,3733,3781">5</WORD>
<WORD coords="1109,3762,1161,3716,3761">el</WORD>
<WORD coords="1214,3758,1246,3716,3758">7</WORD>
<WORD coords="1316,3754,1417,3716,3748">Qei</WORD>
<WORD coords="1489,3747,1524,3716,3747">¿</WORD>
<WORD coords="1534,3746,1547,3732,3764">&apos;</WORD>
<WORD coords="1684,3761,1714,3716,3761">H</WORD>
<WORD coords="2178,3796,2192,3775,3790">,</WORD>
<WORD coords="2311,3793,2326,3774,3791">,</WORD>
<WORD coords="2497,3781,2508,3769,3781">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="223,3892,256,3843,3884">3</WORD>
<WORD coords="306,3876,341,3838,3876">o</WORD>
<WORD coords="397,3894,503,3852,3890">oor</WORD>
<WORD coords="561,3888,596,3841,3888">2</WORD>
<WORD coords="658,3889,722,3839,3885">&gt;</WORD>
<WORD coords="761,3881,797,3835,3881">2</WORD>
<WORD coords="829,3895,865,3843,3884">y</WORD>
<WORD coords="947,3874,1003,3820,3874">el</WORD>
<WORD coords="1064,3871,1162,3814,3869">del</WORD>
<WORD coords="1226,3866,1446,3807,3860">ultimo</WORD>
<WORD coords="1507,3871,1614,3812,3850">por</WORD>
<WORD coords="1675,3848,1708,3801,3850">3</WORD>
<WORD coords="1743,3859,1759,3833,3859">,</WORD>
<WORD coords="1806,3862,1843,3806,3857">y</WORD>
<WORD coords="1915,3839,2004,3786,3837">los</WORD>
<WORD coords="2058,3852,2407,3774,3830">quebrados</WORD>
<WORD coords="2473,3830,2584,3768,3828">da-</WORD>
</LINE>
<LINE>
<WORD coords="229,4006,344,3949,4005">do*</WORD>
<WORD coords="385,4001,450,3964,4001">se</WORD>
<WORD coords="502,4000,896,3933,3994">convertirán</WORD>
<WORD coords="950,3985,1025,3945,3984">en</WORD>
<WORD coords="1089,3980,1186,3924,3978">los</WORD>
<WORD coords="1230,3991,1571,3910,3965">siguientes</WORD>
<WORD coords="1610,3991,1898,3898,3965">.45^42</WORD>
<WORD coords="1935,3958,1948,3934,3965">,</WORD>
<WORD coords="1980,3988,2251,3886,3948">44^39.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1369,4162,1446,4104,4162">1S</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0075.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0076.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0076.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1813,653,1959,562,651">66</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1028,757,1121,692,757">La</WORD>
<WORD coords="1168,760,1366,718,758">razón</WORD>
<WORD coords="1414,764,1492,705,762">de</WORD>
<WORD coords="1539,767,1666,719,765">esta</WORD>
<WORD coords="1718,791,1887,716,769">regla</WORD>
<WORD coords="1938,775,2002,739,775">se</WORD>
<WORD coords="2058,781,2356,723,778">conocerá</WORD>
<WORD coords="2419,793,2773,723,787">fácilmente</WORD>
<WORD coords="2807,811,2824,780,804">,</WORD>
<WORD coords="2892,797,2945,738,796">si</WORD>
<WORD coords="2994,805,3064,759,801">se</WORD>
</LINE>
<LINE>
<WORD coords="686,863,959,803,861">reducen</WORD>
<WORD coords="1019,867,1119,807,865">loa</WORD>
<WORD coords="1171,883,1522,810,869">quebrados</WORD>
<WORD coords="1586,871,1614,820,876">á</WORD>
<WORD coords="1662,876,1742,838,876">un</WORD>
<WORD coords="1806,883,2029,842,879">común</WORD>
<WORD coords="2102,891,2552,830,887">denominador</WORD>
<WORD coords="2604,918,2795,859,895">según</WORD>
<WORD coords="2846,902,2902,847,901">la</WORD>
<WORD coords="2960,908,3058,867,905">re-</WORD>
</LINE>
<LINE>
<WORD coords="685,989,784,914,967">gla</WORD>
<WORD coords="840,990,1082,916,967">general</WORD>
<WORD coords="1134,991,1160,922,990">(</WORD>
<WORD coords="1205,970,1220,932,970">i</WORD>
<WORD coords="1241,973,1312,924,978">12</WORD>
<WORD coords="1352,993,1425,923,990">),</WORD>
<WORD coords="1482,1000,2051,920,982">descomponiendo</WORD>
<WORD coords="2098,993,2250,938,991">cada</WORD>
<WORD coords="2309,1003,2771,940,999">denominador&quot;</WORD>
<WORD coords="2804,1006,2878,970,1005">en</WORD>
<WORD coords="2947,1014,3057,975,1010">su«</WORD>
</LINE>
<LINE>
<WORD coords="680,1074,716,1015,1074">f</WORD>
<WORD coords="751,1080,950,1031,1074">ctores</WORD>
<WORD coords="1009,1098,1049,1040,1098">y</WORD>
<WORD coords="1104,1104,1536,1025,1082">suprimiendo</WORD>
<WORD coords="1594,1089,1670,1051,1089">en</WORD>
<WORD coords="1742,1096,1956,1037,1094">ambos</WORD>
<WORD coords="2043,1105,2345,1044,1099">términos</WORD>
<WORD coords="2426,1107,2516,1051,1105">los</WORD>
<WORD coords="2574,1127,2691,1074,1111">que</WORD>
<WORD coords="2741,1115,2884,1076,1113">sean</WORD>
<WORD coords="2942,1121,3048,1082,1119">co-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="682,1183,926,1139,1180">munes.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="762,1290,900,1235,1292">114.</WORD>
<WORD coords="1000,1296,1324,1234,1293">Problema</WORD>
<WORD coords="1375,1319,1416,1261,1314">y</WORD>
<WORD coords="1462,1306,1832,1246,1299">resolución.</WORD>
<WORD coords="1927,1310,2105,1251,1308">Para</WORD>
<WORD coords="2181,1315,2422,1257,1312">reducir</WORD>
<WORD coords="2481,1319,2555,1281,1318">en</WORD>
<WORD coords="2625,1326,2707,1285,1325">un</WORD>
<WORD coords="2790,1348,3043,1291,1333">numer*</WORD>
</LINE>
<LINE>
<WORD coords="671,1394,851,1349,1390">misto</WORD>
<WORD coords="899,1396,956,1340,1395">el</WORD>
<WORD coords="1004,1402,1209,1352,1398">entero</WORD>
<WORD coords="1264,1403,1302,1366,1403">a</WORD>
<WORD coords="1362,1404,1419,1348,1403">la</WORD>
<WORD coords="1464,1429,1695,1368,1406">especie</WORD>
<WORD coords="1755,1412,1850,1356,1411">del</WORD>
<WORD coords="1887,1438,2187,1359,1416">quebrado</WORD>
<WORD coords="2237,1445,2351,1385,1422">que</WORD>
<WORD coords="2421,1423,2477,1369,1422">le</WORD>
<WORD coords="2533,1454,2910,1378,1430">acompaña,</WORD>
<WORD coords="2970,1447,3037,1407,1445">se</WORD>
</LINE>
<LINE>
<WORD coords="671,1520,1018,1442,1500">multiplica</WORD>
<WORD coords="1074,1508,1131,1453,1507">ei</WORD>
<WORD coords="1190,1512,1403,1463,1510">entero</WORD>
<WORD coords="1464,1531,1573,1476,1512">por</WORD>
<WORD coords="1619,1516,1673,1462,1515">el</WORD>
<WORD coords="1726,1526,2177,1462,1521">denominador</WORD>
<WORD coords="2247,1529,2343,1472,1528">del</WORD>
<WORD coords="2403,1549,2717,1479,1532">quebrado</WORD>
<WORD coords="2789,1539,2820,1489,1539">á</WORD>
<WORD coords="2879,1565,3038,1506,1544">cuya</WORD>
</LINE>
<LINE>
<WORD coords="667,1622,914,1551,1605">especie</WORD>
<WORD coords="976,1610,1041,1574,1609">se</WORD>
<WORD coords="1103,1631,1318,1558,1614">quiere</WORD>
<WORD coords="1383,1624,1635,1563,1619">reducir</WORD>
<WORD coords="1665,1623,1679,1588,1626">:</WORD>
<WORD coords="1733,1623,1787,1569,1623">al</WORD>
<WORD coords="1850,1643,2151,1573,1628">producto</WORD>
<WORD coords="2222,1638,2489,1580,1635">añádase</WORD>
<WORD coords="2555,1639,2609,1586,1639">el</WORD>
<WORD coords="2656,1654,3036,1595,1647">numerador</WORD>
</LINE>
<LINE>
<WORD coords="664,1714,767,1655,1713">del</WORD>
<WORD coords="824,1738,1196,1663,1719">quebrado,</WORD>
<WORD coords="1247,1725,1295,1669,1731">ú</WORD>
<WORD coords="1351,1727,1404,1669,1726">le</WORD>
<WORD coords="1452,1748,1794,1679,1729">acompaña</WORD>
<WORD coords="1842,1754,1951,1698,1735">por</WORD>
<WORD coords="2017,1738,2111,1685,1738">via</WORD>
<WORD coords="2164,1743,2240,1684,1742">de</WORD>
<WORD coords="2288,1768,2517,1709,1744">suma,</WORD>
<WORD coords="2567,1748,2604,1695,1734">ó*</WORD>
<WORD coords="2636,1753,2891,1701,1750">&quot;réstese</WORD>
<WORD coords="2951,1763,3031,1701,1760">de</WORD>
</LINE>
<LINE>
<WORD coords="660,1821,719,1760,1818">él</WORD>
<WORD coords="781,1822,832,1767,1821">si</WORD>
<WORD coords="881,1824,934,1769,1824">1c</WORD>
<WORD coords="986,1845,1326,1778,1828">acompaña</WORD>
<WORD coords="1378,1856,1489,1795,1830">por</WORD>
<WORD coords="1547,1836,1645,1778,1835">via</WORD>
<WORD coords="1699,1839,1779,1783,1838">de</WORD>
<WORD coords="1816,1843,1974,1797,1840">resta</WORD>
<WORD coords="2012,1857,2027,1811,1854">;</WORD>
<WORD coords="2062,1851,2408,1788,1846">finalmente</WORD>
<WORD coords="2438,1866,2462,1799,1858">;</WORD>
<WORD coords="2482,1851,2536,1799,1851">al</WORD>
<WORD coords="2593,1873,2892,1802,1857">producto</WORD>
<WORD coords="2923,1865,3029,1827,1863">au-</WORD>
</LINE>
<LINE>
<WORD coords="658,1931,953,1876,1928">mentado</WORD>
<WORD coords="1016,1933,1054,1878,1942">ó</WORD>
<WORD coords="1119,1942,1509,1878,1937">disminuido</WORD>
<WORD coords="1571,1943,1671,1886,1942">del</WORD>
<WORD coords="1749,1952,2129,1896,1949">numerador</WORD>
<WORD coords="2189,1986,2519,1905,1959">póngasele</WORD>
<WORD coords="2576,1980,2685,1924,1963">por</WORD>
<WORD coords="2742,1972,3033,1909,1966">denomi.</WORD>
</LINE>
<LINE>
<WORD coords="648,2036,852,1978,2035">«ador</WORD>
<WORD coords="898,2040,955,1983,2037">el</WORD>
<WORD coords="1003,2056,1122,2002,2040">que</WORD>
<WORD coords="1172,2045,1337,1986,2042">tiene</WORD>
<WORD coords="1388,2045,1443,1990,2045">el</WORD>
<WORD coords="1490,2065,1834,1992,2048">quebrado.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="941,2172,1239,2087,2148">Ejemplo.</WORD>
<WORD coords="1339,2154,1433,2094,2154">En</WORD>
<WORD coords="1486,2156,1542,2097,2155">ei</WORD>
<WORD coords="1604,2159,1863,2118,2157">numero</WORD>
<WORD coords="1916,2164,2102,2104,2162">misto</WORD>
<WORD coords="2161,2165,2196,2115,2166">5</WORD>
<WORD coords="2252,2192,2333,2110,2180">+</WORD>
<WORD coords="2361,2166,2391,2117,2167">3</WORD>
<WORD coords="2429,2188,2605,2134,2170">pesas</WORD>
<WORD coords="2627,2186,2644,2163,2186">,</WORD>
<WORD coords="2672,2195,2889,2121,2179">quiero</WORD>
<WORD coords="2935,2188,3031,2146,2186">re-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2351,2276,2383,2229,2276">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="646,2332,834,2276,2330">ducir</WORD>
<WORD coords="889,2337,944,2278,2335">el</WORD>
<WORD coords="999,2337,1036,2288,2345">5</WORD>
<WORD coords="1092,2340,1122,2284,2346">á</WORD>
<WORD coords="1178,2343,1449,2283,2340">ochavos</WORD>
<WORD coords="1476,2361,1494,2313,2361">;</WORD>
<WORD coords="1557,2362,1704,2308,2347">pues</WORD>
<WORD coords="1770,2366,2117,2293,2351">multiplico</WORD>
<WORD coords="2172,2355,2229,2300,2354">el</WORD>
<WORD coords="2288,2356,2321,2309,2356">5</WORD>
<WORD coords="2374,2374,2483,2322,2357">por</WORD>
<WORD coords="2546,2361,2606,2304,2360">e!</WORD>
<WORD coords="2664,2377,3027,2308,2369">denomina-</WORD>
</LINE>
<LINE>
<WORD coords="641,2438,763,2380,2436">dor</WORD>
<WORD coords="822,2442,856,2392,2452">8</WORD>
<WORD coords="910,2443,966,2389,2442">lo</WORD>
<WORD coords="1012,2460,1131,2409,2447">que</WORD>
<WORD coords="1193,2468,1467,2394,2451">produce</WORD>
<WORD coords="1515,2474,1635,2403,2462">40,</WORD>
<WORD coords="1666,2456,1696,2406,2459">á</WORD>
<WORD coords="1760,2459,1887,2413,2458">este</WORD>
<WORD coords="1935,2481,2241,2404,2462">producto</WORD>
<WORD coords="2289,2467,2490,2411,2465">añado</WORD>
<WORD coords="2535,2469,2593,2413,2468">el</WORD>
<WORD coords="2646,2484,3026,2425,2477">numerado*</WORD>
</LINE>
<LINE>
<WORD coords="643,2546,681,2492,2549">5</WORD>
<WORD coords="738,2568,781,2509,2568">y</WORD>
<WORD coords="825,2574,1016,2504,2549">tenga</WORD>
<WORD coords="1087,2555,1192,2503,2553">43.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1098,2665,1213,2581,2663">Ir</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="894,2755,1388,2685,2744">demostración.</WORD>
<WORD coords="1482,2755,1761,2693,2753">Reducir</WORD>
<WORD coords="1822,2756,1875,2701,2755">el</WORD>
<WORD coords="1934,2758,1968,2709,2759">5</WORD>
<WORD coords="2022,2761,2054,2705,2761">á</WORD>
<WORD coords="2118,2762,2388,2703,2758">orh*vos</WORD>
<WORD coords="2453,2765,2518,2728,2764">es</WORD>
<WORD coords="2566,2772,2817,2710,2766">reducir</WORD>
<WORD coords="2886,2783,3023,2719,2774">uní-</WORD>
</LINE>
<LINE>
<WORD coords="637,2849,835,2789,2847">dades</WORD>
<WORD coords="899,2863,1255,2793,2850">superiores</WORD>
<WORD coords="1304,2854,1332,2818,2854">a</WORD>
<WORD coords="1381,2860,1706,2800,2857">inferiores</WORD>
<WORD coords="1743,2863,1757,2826,2863">:</WORD>
<WORD coords="1812,2881,1958,2827,2863">pero</WORD>
<WORD coords="2010,2885,2154,2830,2866">para</WORD>
<WORD coords="2210,2869,2341,2825,2866">esto</WORD>
<WORD coords="2389,2873,2454,2836,2871">se</WORD>
<WORD coords="2511,2873,2665,2818,2872">debe</WORD>
<WORD coords="2720,2898,3017,2824,2878">multipli-</WORD>
</LINE>
<LINE>
<WORD coords="630,2961,739,2901,2955">car</WORD>
<WORD coords="792,2979,960,2900,2966">[55]</WORD>
<WORD coords="994,2956,1046,2901,2955">el</WORD>
<WORD coords="1102,2961,1361,2922,2959">numero</WORD>
<WORD coords="1409,2965,1487,2909,2964">de</WORD>
<WORD coords="1538,2971,1841,2909,2967">unidades</WORD>
<WORD coords="1895,2988,2245,2918,2971">superiores</WORD>
<WORD coords="2282,2975,2315,2930,2975">5</WORD>
<WORD coords="2355,2988,2464,2940,2975">por</WORD>
<WORD coords="2514,2979,2568,2925,2978">el</WORD>
<WORD coords="2618,2983,2877,2943,2980">numero</WORD>
<WORD coords="2933,2990,3012,2930,2988">de</WORD>
</LINE>
<LINE>
<WORD coords="635,3061,940,3004,3059">unidades</WORD>
<WORD coords="988,3069,1318,3007,3065">inferiores</WORD>
<WORD coords="1369,3070,1445,3014,3069">de</WORD>
<WORD coords="1494,3090,1611,3036,3073">que</WORD>
<WORD coords="1659,3075,1724,3039,3074">se</WORD>
<WORD coords="1771,3094,2077,3038,3076">compone</WORD>
<WORD coords="2137,3081,2256,3045,3079">una</WORD>
<WORD coords="2311,3084,2546,3028,3082">unidad</WORD>
<WORD coords="2596,3106,2924,3034,3086">superior,</WORD>
<WORD coords="2972,3113,3012,3056,3113">y</WORD>
</LINE>
<LINE>
<WORD coords="636,3167,769,3122,3165">eete</WORD>
<WORD coords="829,3172,1091,3133,3170">numero</WORD>
<WORD coords="1137,3192,1491,3133,3175">representa</WORD>
<WORD coords="1558,3181,1613,3126,3180">el</WORD>
<WORD coords="1677,3186,2129,3126,3182">denominador</WORD>
<WORD coords="2190,3187,2222,3142,3187">8</WORD>
<WORD coords="2262,3200,2277,3155,3200">;</WORD>
<WORD coords="2339,3212,2482,3138,3190">kug</WORD>
<WORD coords="2585,3194,2694,3135,3190">&amp;c.</WORD>
<WORD coords="2788,3206,3011,3140,3197">Ahora</WORD>
</LINE>
<LINE>
<WORD coords="629,3274,812,3234,3272">como</WORD>
<WORD coords="875,3277,930,3221,3276">al</WORD>
<WORD coords="981,3293,1283,3222,3278">producto</WORD>
<WORD coords="1330,3283,1413,3233,3285">40</WORD>
<WORD coords="1467,3288,1736,3229,3285">ochavos</WORD>
<WORD coords="1783,3288,1846,3254,3287">se</WORD>
<WORD coords="1893,3291,2088,3236,3289">deben</WORD>
<WORD coords="2148,3295,2365,3241,3294">añadir</WORD>
<WORD coords="2397,3308,2409,3286,3308">,</WORD>
<WORD coords="2475,3317,2668,3264,3297">según</WORD>
<WORD coords="2743,3303,2797,3248,3301">la</WORD>
<WORD coords="2846,3305,3006,3248,3303">indi-</WORD>
</LINE>
<LINE>
<WORD coords="628,3380,843,3323,3378">cación</WORD>
<WORD coords="874,3396,892,3369,3395">,</WORD>
<WORD coords="954,3382,987,3333,3388">3</WORD>
<WORD coords="1043,3389,1316,3328,3385">ochavos</WORD>
<WORD coords="1349,3404,1366,3377,3399">,</WORD>
<WORD coords="1419,3394,1717,3338,3391">tomando</WORD>
<WORD coords="1764,3397,1927,3351,3394">estos</WORD>
<WORD coords="1989,3416,2337,3343,3397">quebrados</WORD>
<WORD coords="2397,3425,2819,3346,3402">homogéneos</WORD>
<WORD coords="2895,3421,3006,3368,3406">por</WORD>
</LINE>
<LINE>
<WORD coords="627,3488,935,3428,3485">unidades</WORD>
<WORD coords="989,3514,1130,3439,3503">(35)</WORD>
<WORD coords="1165,3514,1184,3479,3507">,</WORD>
<WORD coords="1213,3495,1304,3437,3493">los</WORD>
<WORD coords="1349,3502,1740,3459,3498">sumaremos</WORD>
<WORD coords="1792,3522,1830,3465,3512">y</WORD>
<WORD coords="1887,3503,1998,3465,3502">nos</WORD>
<WORD coords="2053,3506,2279,3451,3504">vendrá</WORD>
<WORD coords="2312,3508,2368,3454,3506">el</WORD>
<WORD coords="2418,3510,2675,3472,3508">numero</WORD>
<WORD coords="2707,3510,2784,3461,3509">43</WORD>
<WORD coords="2814,3515,2999,3455,3512">ocha-</WORD>
</LINE>
<LINE>
<WORD coords="625,3606,777,3549,3590">vos,</WORD>
<WORD coords="822,3611,941,3555,3592">que</WORD>
<WORD coords="1001,3597,1216,3536,3596">hemos</WORD>
<WORD coords="1251,3604,1503,3545,3599">sacado,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="873,3702,1010,3649,3703">115.</WORD>
<WORD coords="1102,3709,1471,3648,3704">Problema;</WORD>
<WORD coords="1560,3713,1833,3654,3711">Reducir</WORD>
<WORD coords="1878,3716,1959,3677,3716">un</WORD>
<WORD coords="2008,3740,2304,3661,3716">quebrado</WORD>
<WORD coords="2354,3720,2392,3685,3720">a</WORD>
<WORD coords="2444,3719,2573,3676,3718">otro</WORD>
<WORD coords="2636,3747,2792,3687,3724">cuyo</WORD>
<WORD coords="2894,3729,2997,3672,3729">de-</WORD>
</LINE>
<LINE>
<WORD coords="619,3806,982,3748,3803">nominador</WORD>
<WORD coords="1031,3807,1089,3770,3806">se</WORD>
<WORD coords="1089,3810,1213,3754,3809">&apos;da</WORD>
<WORD coords="1247,3826,1263,3775,3823">;</WORD>
<WORD coords="1325,3813,1360,3760,3816">ó</WORD>
<WORD coords="1445,3815,1503,3760,3815">lo</WORD>
<WORD coords="1554,3836,1671,3782,3818">que</WORD>
<WORD coords="1780,3822,1842,3786,3821">es</WORD>
<WORD coords="1918,3822,1972,3772,3822">lo</WORD>
<WORD coords="2038,3829,2308,3789,3824">mismo:</WORD>
<WORD coords="2413,3852,2854,3771,3831">Transformar</WORD>
<WORD coords="2912,3835,2994,3795,3834">un</WORD>
</LINE>
<LINE>
<WORD coords="617,3935,919,3853,3911">quebrado</WORD>
<WORD coords="975,3913,1047,3876,3912">en</WORD>
<WORD coords="1110,3918,1237,3870,3915">otre</WORD>
<WORD coords="1301,3940,1524,3865,3921">igual,</WORD>
<WORD coords="1576,3945,1725,3888,3924">cuyo</WORD>
<WORD coords="1783,3933,2226,3874,3929">denominador</WORD>
<WORD coords="2266,3932,2329,3898,3931">se</WORD>
<WORD coords="2382,3935,2477,3878,3934">da.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="870,4026,1259,3962,4019">Resolución.</WORD>
<WORD coords="1354,4050,1838,3973,4027">Multipliqúese</WORD>
<WORD coords="1888,4035,1942,3982,4033">el</WORD>
<WORD coords="2010,4038,2312,3984,4035">numerad</WORD>
<WORD coords="2340,4038,2388,4003,4038">&gt;r</WORD>
<WORD coords="2443,4058,2549,4003,4039">por</WORD>
<WORD coords="2594,4041,2648,3985,4040">el</WORD>
<WORD coords="2699,4045,2978,3986,4042">denomi-</WORD>
</LINE>
<LINE>
<WORD coords="611,4126,811,4065,4124">nador</WORD>
<WORD coords="858,4131,1061,4087,4129">nuevo</WORD>
<WORD coords="1114,4152,1233,4093,4133">que</WORD>
<WORD coords="1288,4138,1356,4097,4137">se</WORD>
<WORD coords="1414,4138,1471,4079,4137">le</WORD>
<WORD coords="1529,4139,1689,4080,4139">hade</WORD>
<WORD coords="1753,4144,1907,4086,4140">dar;</WORD>
<WORD coords="1964,4163,2208,4099,4143">paitase</WORD>
<WORD coords="2254,4145,2311,4091,4145">el</WORD>
<WORD coords="2367,4168,2673,4091,4148">producto</WORD>
<WORD coords="2743,4170,2852,4114,4151">por</WORD>
<WORD coords="2927,4153,2983,4096,4152">el</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0076.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0077.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0077.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2235,375,2251,342,375">&gt;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1442,724,1584,632,722">67</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="322,828,780,758,821">denominador</WORD>
<WORD coords="840,846,1164,770,829">primitivo</WORD>
<WORD coords="1196,848,1214,820,848">,</WORD>
<WORD coords="1270,854,1308,796,850">y</WORD>
<WORD coords="1376,838,1432,784,838">el</WORD>
<WORD coords="1512,850,1790,788,844">cociente</WORD>
<WORD coords="1870,854,2006,812,852">sera</WORD>
<WORD coords="2052,858,2108,800,856">e!</WORD>
<WORD coords="2160,876,2538,814,867">numerador</WORD>
<WORD coords="2584,884,2684,824,882">del</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="322,944,642,872,925">^uebsado</WORD>
<WORD coords="700,950,816,896,932">que</WORD>
<WORD coords="870,958,1050,888,936">tenga</WORD>
<WORD coords="1108,944,1162,882,942">el</WORD>
<WORD coords="1210,952,1666,884,945">denominador</WORD>
<WORD coords="1706,960,1892,898,955">dado.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="444,1032,506,976,1030">S,</WORD>
<WORD coords="566,1032,618,980,1032">el</WORD>
<WORD coords="668,1046,948,980,1040">cociente</WORD>
<WORD coords="1016,1044,1096,1006,1044">no</WORD>
<WORD coords="1144,1048,1210,1010,1047">es</WORD>
<WORD coords="1260,1068,1510,1006,1052">esacto,</WORD>
<WORD coords="1560,1056,1618,1002,1055">el</WORD>
<WORD coords="1670,1070,2050,1012,1064">numerador</WORD>
<WORD coords="2100,1076,2238,1038,1074">sera</WORD>
<WORD coords="2290,1082,2366,1044,1081">un</WORD>
<WORD coords="2420,1092,2680,1050,1088">nurm-ro</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="310,1138,506,1092,1137">■mto</WORD>
<WORD coords="554,1140,630,1094,1139">de</WORD>
<WORD coords="688,1146,900,1102,1144">entero</WORD>
<WORD coords="946,1166,982,1112,1166">y</WORD>
<WORD coords="1036,1170,1376,1096,1153">quebrado.</WORD>
<WORD coords="1444,1164,1596,1102,1163">Este</WORD>
<WORD coords="1624,1188,1946,1112,1173">quebrado</WORD>
<WORD coords="1952,1118,1960,1104,1142">&apos;</WORD>
<WORD coords="1984,1180,2050,1140,1180">*e</WORD>
<WORD coords="2076,1198,2268,1126,1184">podra</WORD>
<WORD coords="2328,1214,2530,1136,1192">apréci</WORD>
<WORD coords="2582,1198,2590,1162,1198">,</WORD>
<WORD coords="2642,1202,2676,1122,1202">á</WORD>
</LINE>
<LINE>
<WORD coords="298,1256,676,1184,1244">despreciar:</WORD>
<WORD coords="708,1250,770,1214,1250">se</WORD>
<WORD coords="804,1268,1108,1200,1255">apreciara</WORD>
<WORD coords="1142,1270,1548,1212,1264">reputándolo</WORD>
<WORD coords="1584,1294,1746,1216,1275">igual</WORD>
<WORD coords="1784,1278,1812,1224,1278">á</WORD>
<WORD coords="1850,1298,1902,1234,1289">1,</WORD>
<WORD coords="1934,1288,2170,1234,1286">cuando</WORD>
<WORD coords="2206,1292,2258,1238,1292">el</WORD>
<WORD coords="2298,1310,2674,1250,1302">numerador</WORD>
</LINE>
<LINE>
<WORD coords="302,1348,406,1308,1346">sea</WORD>
<WORD coords="456,1370,620,1300,1350">igual</WORD>
<WORD coords="672,1356,708,1302,1368">é</WORD>
<WORD coords="768,1380,982,1322,1359">mayor</WORD>
<WORD coords="1038,1382,1154,1328,1364">que</WORD>
<WORD coords="1212,1370,1266,1308,1368">la</WORD>
<WORD coords="1314,1378,1508,1316,1374">mitad</WORD>
<WORD coords="1558,1382,1656,1324,1381">de!</WORD>
<WORD coords="1706,1414,2204,1330,1389">denominador,</WORD>
<WORD coords="2248,1406,2304,1346,1405">la</WORD>
<WORD coords="2334,1414,2466,1350,1410">cual</WORD>
<WORD coords="2524,1418,2632,1360,1418">uní</WORD>
</LINE>
<LINE>
<WORD coords="294,1452,420,1394,1451">dad</WORD>
<WORD coords="478,1456,540,1422,1456">se</WORD>
<WORD coords="602,1464,852,1406,1460">añadirá</WORD>
<WORD coords="902,1466,958,1412,1465">el</WORD>
<WORD coords="1014,1472,1226,1426,1469">entero</WORD>
<WORD coords="1270,1494,1310,1438,1488">y</WORD>
<WORD coords="1372,1480,1436,1442,1479">se</WORD>
<WORD coords="1486,1488,1734,1428,1484">borrará</WORD>
<WORD coords="1794,1492,1846,1440,1492">el</WORD>
<WORD coords="1910,1514,2222,1444,1501">quebrado</WORD>
<WORD coords="2338,1530,2376,1476,1527">y</WORD>
<WORD coords="2458,1520,2532,1424,1520">&amp;</WORD>
<WORD coords="2536,1524,2560,1474,1524">t</WORD>
<WORD coords="2606,1520,2672,1494,1517">,.</WORD>
</LINE>
<LINE>
<WORD coords="298,1560,400,1522,1560">ees</WORD>
<WORD coords="450,1560,504,1510,1560">el</WORD>
<WORD coords="566,1574,940,1516,1568">numerador</WORD>
<WORD coords="984,1576,1048,1538,1576">se</WORD>
<WORD coords="1094,1582,1230,1522,1579">dice</WORD>
<WORD coords="1274,1604,1394,1548,1589">que</WORD>
<WORD coords="1444,1590,1508,1552,1590">es</WORD>
<WORD coords="1556,1616,1974,1546,1601">aproximado</WORD>
<WORD coords="1998,1628,2116,1562,1609">por</WORD>
<WORD coords="2158,1620,2356,1546,1617">ééSeso</WORD>
<WORD coords="2416,1616,2464,1588,1616">.</WORD>
<WORD coords="2470,1622,2518,1592,1622">)r</WORD>
<WORD coords="2530,1624,2538,1600,1624">,</WORD>
<WORD coords="2540,1636,2648,1594,1632">)üe</WORD>
</LINE>
<LINE>
<WORD coords="290,1668,452,1616,1665">t«ene</WORD>
<WORD coords="508,1692,648,1616,1668">algo</WORD>
<WORD coords="706,1680,946,1618,1675">demás.</WORD>
<WORD coords="1036,1686,1114,1626,1685">Se</WORD>
<WORD coords="1180,1710,1572,1632,1692">despreciará</WORD>
<WORD coords="1648,1708,1892,1652,1705">cuando</WORD>
<WORD coords="1950,1712,2004,1660,1712">el</WORD>
<WORD coords="2070,1728,2452,1666,1723">numerador</WORD>
<WORD coords="2558,1732,2620,1700,1732">c</WORD>
<WORD coords="2628,1740,2662,1700,1740">a</WORD>
</LINE>
<LINE>
<WORD coords="290,1774,504,1732,1773">»enor</WORD>
<WORD coords="554,1796,670,1740,1779">que</WORD>
<WORD coords="724,1782,776,1726,1780">la</WORD>
<WORD coords="834,1790,1028,1730,1786">mitad</WORD>
<WORD coords="1094,1794,1170,1736,1793">de</WORD>
<WORD coords="1224,1800,1296,1760,1798">su</WORD>
<WORD coords="1344,1830,1844,1742,1805">denominador,</WORD>
<WORD coords="1906,1840,1948,1782,1831">y</WORD>
<WORD coords="2010,1822,2082,1784,1821">en</WORD>
<WORD coords="2146,1826,2224,1772,1824">tal</WORD>
<WORD coords="2282,1834,2424,1792,1831">caso</WORD>
<WORD coords="2470,1836,2532,1800,1835">se</WORD>
<WORD coords="2570,1842,2660,1786,1840">di-</WORD>
</LINE>
<LINE>
<WORD coords="288,1876,358,1838,1876">ee</WORD>
<WORD coords="410,1898,528,1844,1881">que</WORD>
<WORD coords="590,1884,644,1830,1884">el</WORD>
<WORD coords="700,1898,1076,1840,1893">numerador</WORD>
<WORD coords="1130,1904,1258,1858,1902">esta</WORD>
<WORD coords="1332,1930,1746,1858,1912">aproximado</WORD>
<WORD coords="1784,1944,1906,1876,1922">por</WORD>
<WORD coords="1964,1950,2190,1870,1932">defecto</WORD>
<WORD coords="2226,1950,2244,1924,1950">,</WORD>
<WORD coords="2294,1952,2528,1882,1946">pbraofe</WORD>
<WORD coords="2604,1950,2658,1894,1950">¡e</WORD>
</LINE>
<LINE>
<WORD coords="285,1989,438,1930,1986">falta</WORD>
<WORD coords="486,2010,650,1936,1987">algo.</WORD>
<WORD coords="2294,1962,2307,1930,1962">1</WORD>
<WORD coords="2411,1965,2444,1930,1976">^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="538,2124,816,2040,2100">Ejemplo</WORD>
<WORD coords="882,2110,1000,2054,2108">I.»</WORD>
<WORD coords="1110,2126,1548,2056,2120">Trasformese</WORD>
<WORD coords="1606,2130,1662,2074,2130">el</WORD>
<WORD coords="1712,2154,2024,2080,2138">quebrado</WORD>
<WORD coords="2086,2144,2118,2096,2144">3</WORD>
<WORD coords="2166,2150,2240,2110,2148">en</WORD>
<WORD coords="2298,2158,2436,2110,2156">otro</WORD>
<WORD coords="2484,2194,2652,2046,2166">ig^i</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="284,2300,434,2240,2281">pero</WORD>
<WORD coords="492,2306,656,2248,2285">euyo</WORD>
<WORD coords="710,2304,1162,2236,2297">denominador</WORD>
<WORD coords="1212,2308,1316,2270,2307">sea</WORD>
<WORD coords="1384,2314,1482,2262,2314">20.</WORD>
<WORD coords="1584,2344,1942,2262,2323">Multiplico</WORD>
<WORD coords="1988,2332,2040,2276,2331">el</WORD>
<WORD coords="2102,2332,2136,2284,2332">3</WORD>
<WORD coords="2220,2352,2330,2304,2341">por</WORD>
<WORD coords="2378,2350,2460,2300,2349">20</WORD>
<WORD coords="2584,2352,2642,2302,2352">el</WORD>
</LINE>
<LINE>
<WORD coords="280,2410,586,2348,2388">propucto</WORD>
<WORD coords="634,2398,716,2344,2405">60</WORD>
<WORD coords="772,2406,990,2344,2402">divido</WORD>
<WORD coords="1046,2426,1154,2374,2411">por</WORD>
<WORD coords="1212,2414,1248,2366,2418">5</WORD>
<WORD coords="1308,2436,1348,2380,2429">y</WORD>
<WORD coords="1392,2420,1448,2364,2420">al</WORD>
<WORD coords="1496,2432,1772,2368,2425">cociente</WORD>
<WORD coords="1830,2440,1906,2382,2440">,*</WORD>
<WORD coords="1954,2464,2154,2400,2439">pongo</WORD>
<WORD coords="2196,2464,2306,2408,2449">por</WORD>
<WORD coords="2362,2468,2644,2340,2460">denU</WORD>
</LINE>
<LINE>
<WORD coords="272,2498,470,2452,2495">Saclor</WORD>
<WORD coords="516,2520,660,2452,2509">^0,</WORD>
<WORD coords="722,2508,836,2468,2507">con</WORD>
<WORD coords="884,2512,942,2454,2512">lo</WORD>
<WORD coords="996,2534,1116,2478,2517">que</WORD>
<WORD coords="1184,2526,1412,2474,2523">resulta</WORD>
<WORD coords="1458,2530,1622,2482,2530">3=</WORD>
<WORD coords="1704,2540,1798,2490,2538">12.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1452,2638,1486,2590,2641">5</WORD>
<WORD coords="1696,2646,1818,2568,2625">20*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="608,2698,666,2672,2714">-</WORD>
<WORD coords="800,2704,912,2648,2702">Sea</WORD>
<WORD coords="954,2706,1016,2650,2705">el</WORD>
<WORD coords="1066,2728,1386,2656,2714">quebrado</WORD>
<WORD coords="1444,2740,1764,2670,2726">primitivo</WORD>
<WORD coords="1820,2730,1854,2680,2730">3</WORD>
<WORD coords="1890,2746,1906,2702,2743">;</WORD>
<WORD coords="1968,2740,2030,2700,2739">se</WORD>
<WORD coords="2072,2748,2236,2696,2744">¿rata</WORD>
<WORD coords="2278,2750,2352,2692,2750">de</WORD>
<WORD coords="2398,2760,2630,2694,2756">billar.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="264,2876,320,2816,2875">le</WORD>
<WORD coords="380,2880,514,2832,2878">otro</WORD>
<WORD coords="576,2906,742,2824,2884">igual</WORD>
<WORD coords="798,2908,946,2850,2890">pero</WORD>
<WORD coords="994,2912,1114,2856,2897">que</WORD>
<WORD coords="1184,2928,1374,2856,2903">tenga</WORD>
<WORD coords="1424,2926,1534,2874,2910">por</WORD>
<WORD coords="1588,2930,2046,2856,2922">denominador</WORD>
<WORD coords="2110,2930,2160,2878,2929">9.</WORD>
<WORD coords="2260,2952,2630,2856,2944">Muftiprfcá</WORD>
</LINE>
<LINE>
<WORD coords="250,2986,314,2934,2982">*i</WORD>
<WORD coords="378,2992,746,2936,2987">numerador</WORD>
<WORD coords="804,2992,836,2944,3005">3</WORD>
<WORD coords="888,3016,998,2960,2998">por</WORD>
<WORD coords="1062,3006,1116,2950,3005">el</WORD>
<WORD coords="1194,3020,1644,2954,3014">denominador</WORD>
<WORD coords="1704,3028,1866,2968,3027">dado</WORD>
<WORD coords="1924,3030,1960,2980,3030">9</WORD>
<WORD coords="1996,3046,2010,2966,3040">|</WORD>
<WORD coords="2068,3034,2120,2984,3034">el</WORD>
<WORD coords="2196,3056,2496,2980,3047">producto</WORD>
<WORD coords="2548,3056,2630,2966,3054">áí</WORD>
</LINE>
<LINE>
<WORD coords="246,3106,432,3046,3089">*arto</WORD>
<WORD coords="482,3114,592,3056,3093">por</WORD>
<WORD coords="648,3136,702,3042,3120">p|</WORD>
<WORD coords="742,3114,1200,3042,3107">denominador</WORD>
<WORD coords="1244,3120,1282,3068,3120">S</WORD>
<WORD coords="1334,3142,1372,3084,3133">y</WORD>
<WORD coords="1420,3124,1480,3072,3124">ai</WORD>
<WORD coords="1512,3134,1786,3072,3129">cociente</WORD>
<WORD coords="1834,3136,1870,3086,3136">5</WORD>
<WORD coords="1918,3162,1996,3082,3162">+</WORD>
<WORD coords="2068,3188,2340,3094,3146">2_pongo</WORD>
<WORD coords="2374,3172,2484,3116,3154">por</WORD>
<WORD coords="2516,3160,2622,3100,3159">de-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="238,3292,616,3224,3282">^minador</WORD>
<WORD coords="650,3308,726,3236,3300">9,</WORD>
<WORD coords="766,3296,824,3236,3295">lo</WORD>
<WORD coords="872,3320,992,3262,3303">que</WORD>
<WORD coords="1046,3306,1142,3266,3306">me</WORD>
<WORD coords="1212,3310,1288,3250,3309">da</WORD>
<WORD coords="1336,3312,1372,3262,3312">5</WORD>
<WORD coords="1418,3338,1496,3256,3329">+</WORD>
<WORD coords="1542,3320,1584,3252,3320">i</WORD>
<WORD coords="1626,3338,1946,3266,3325">quebrado</WORD>
<WORD coords="2000,3352,2034,3296,3352">p</WORD>
<WORD coords="2046,3334,2120,3204,3334">J</WORD>
<WORD coords="2130,3338,2232,3280,3337">ido</WORD>
<WORD coords="2266,3320,2282,3306,3320">.</WORD>
<WORD coords="2338,3364,2484,3304,3345">pero</WORD>
<WORD coords="2516,3350,2614,3192,3350">¿</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1541,3423,1572,3380,3423">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="228,3606,340,3534,3590">m?</WORD>
<WORD coords="390,3580,446,3520,3580">el</WORD>
<WORD coords="482,3600,796,3530,3587">quebrado</WORD>
<WORD coords="840,3596,940,3540,3595">del</WORD>
<WORD coords="986,3606,1364,3550,3603">numerador</WORD>
<WORD coords="1414,3612,1576,3476,3611">Le</WORD>
<WORD coords="1624,3620,1698,3580,3618">su</WORD>
<WORD coords="1750,3632,2126,3572,3626">numerador</WORD>
<WORD coords="2174,3632,2210,3586,3632">2</WORD>
<WORD coords="2244,3640,2456,3600,3633">rr.^r</WORD>
<WORD coords="2490,3648,2566,3610,3644">o„</WORD>
<WORD coords="2578,3650,2608,3612,3650">e</WORD>
</LINE>
<LINE>
<WORD coords="232,3680,288,3626,3680">la</WORD>
<WORD coords="348,3690,538,3636,3687">rnnad</WORD>
<WORD coords="584,3694,660,3636,3693">de</WORD>
<WORD coords="718,3700,788,3662,3698">su</WORD>
<WORD coords="850,3710,1302,3648,3706">denominador</WORD>
<WORD coords="1356,3712,1390,3666,3713">5</WORD>
<WORD coords="1426,3724,1440,3704,3720">,</WORD>
<WORD coords="1472,3716,1528,3660,3714">lo</WORD>
<WORD coords="1578,3744,1902,3664,3725">desprecio</WORD>
<WORD coords="1950,3754,1988,3698,3747">y</WORD>
<WORD coords="2048,3740,2078,3704,3740">t</WORD>
<WORD coords="2088,3740,2104,3684,3740">l</WORD>
<WORD coords="2154,3766,2470,3640,3754">„¿¿¿</WORD>
<WORD coords="2508,3664,2520,3636,3664">&apos;</WORD>
</LINE>
<LINE>
<WORD coords="234,3794,384,3742,3789">«Jido</WORD>
<WORD coords="440,3798,574,3758,3795">sera</WORD>
<WORD coords="626,3822,1054,3750,3806">aproximado</WORD>
<WORD coords="1106,3834,1214,3778,3814">por</WORD>
<WORD coords="1260,3820,1504,3762,3818">dtfecto</WORD>
<WORD coords="1582,3828,1640,3778,3826">5.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1606,3932,1644,3880,3932">9</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="480,4002,970,3928,3991">Demostración.</WORD>
<WORD coords="1064,4002,1262,3944,4001">Como</WORD>
<WORD coords="1320,4006,1396,3970,4006">un</WORD>
<WORD coords="1456,4028,1774,3960,4017">quebrado</WORD>
<WORD coords="1816,4026,1878,3990,4025">es</WORD>
<WORD coords="1932,4034,2048,3994,4032">una</WORD>
<WORD coords="2108,4042,2372,3980,4039">división</WORD>
<WORD coords="2434,4048,2588,3990,4046">indi,</WORD>
</LINE>
<LINE>
<WORD coords="428,4090,508,4044,4089">ae</WORD>
<WORD coords="562,4096,644,4058,4096">uu</WORD>
<WORD coords="688,4102,836,4062,4102">uu,,</WORD>
<WORD coords="844,4104,898,4070,4103">ei</WORD>
<WORD coords="916,4106,952,4072,4106">o</WORD>
<WORD coords="1004,4112,1224,4064,4109">«entero</WORD>
<WORD coords="1280,4132,1390,4074,4114">por</WORD>
<WORD coords="1434,4118,1462,4084,4118">c</WORD>
<WORD coords="1476,4122,1518,4074,4122">t¡</WORD>
<WORD coords="1534,4124,1572,4086,4124">o</WORD>
<WORD coords="1634,4152,1660,4088,4152">t</WORD>
<WORD coords="1676,4150,1816,4074,4128">lOl)</WORD>
<WORD coords="1846,4152,1864,4122,4148">,</WORD>
<WORD coords="1928,4144,1998,4102,4141">tn</WORD>
<WORD coords="2062,4146,2118,4086,4146">cl</WORD>
<WORD coords="2178,4170,2216,4108,4170">q</WORD>
<WORD coords="2218,4178,2328,4090,4152">^t</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2547,4259,2582,4213,4259">5</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0077.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0078.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0078.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1026,325,1059,274,325">I</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1702,642,1844,550,641">68</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="584,790,892,714,766">pod^moi</WORD>
<WORD coords="940,766,1052,726,764">eon</WORD>
<WORD coords="1062,750,1078,728,750">e</WORD>
<WORD coords="1092,764,1300,708,762">iderar</WORD>
<WORD coords="1354,778,1474,722,761">que</WORD>
<WORD coords="1534,760,1566,710,761">3</WORD>
<WORD coords="1624,760,1802,724,759">vaias</WORD>
<WORD coords="1836,770,1852,750,770">,</WORD>
<WORD coords="1922,778,2034,720,758">por</WORD>
<WORD coords="2092,780,2414,702,758">ejemplo,</WORD>
<WORD coords="2486,760,2554,720,760">se</WORD>
<WORD coords="2604,762,2804,702,761">hande</WORD>
<WORD coords="2856,764,2956,704,763">di.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="584,878,742,822,876">vidu</WORD>
<WORD coords="806,876,854,842,874">et</WORD>
<WORD coords="886,874,910,832,872">t</WORD>
<WORD coords="920,874,974,836,874">re</WORD>
<WORD coords="1010,872,1042,828,872">5</WORD>
<WORD coords="1082,872,1266,812,871">hon.b</WORD>
<WORD coords="1308,870,1368,834,869">es</WORD>
<WORD coords="1406,874,1422,840,871">;</WORD>
<WORD coords="1458,868,1636,832,866">como</WORD>
<WORD coords="1668,868,1746,830,866">no</WORD>
<WORD coords="1782,868,1864,814,866">¡es</WORD>
<WORD coords="1910,866,2058,810,865">cabe</WORD>
<WORD coords="2094,866,2124,810,867">á</WORD>
<WORD coords="2176,866,2294,826,864">una</WORD>
<WORD coords="2342,864,2484,826,863">vara</WORD>
<WORD coords="2530,866,2698,806,865">cabal</WORD>
<WORD coords="2732,878,2748,854,874">,</WORD>
<WORD coords="2780,870,2968,812,867">redu»</WORD>
</LINE>
<LINE>
<WORD coords="588,986,672,928,982">cit</WORD>
<WORD coords="692,984,862,946,981">emos</WORD>
<WORD coords="916,980,998,932,978">la?</WORD>
<WORD coords="1048,978,1080,930,977">3</WORD>
<WORD coords="1132,976,1304,942,976">varas</WORD>
<WORD coords="1362,980,1394,924,978">á</WORD>
<WORD coords="1440,976,1550,940,974">cua</WORD>
<WORD coords="1580,974,1644,938,973">es</WORD>
<WORD coords="1670,974,1864,934,972">miera</WORD>
<WORD coords="1912,974,2214,914,971">unidades</WORD>
<WORD coords="2272,972,2596,914,970">inferiores</WORD>
<WORD coords="2630,988,2646,958,980">,</WORD>
<WORD coords="2678,970,2828,916,969">tales</WORD>
<WORD coords="2858,972,2966,934,972">co-</WORD>
</LINE>
<LINE>
<WORD coords="590,1094,696,1056,1090">rno</WORD>
<WORD coords="744,1090,1002,1050,1088">novenos</WORD>
<WORD coords="1034,1096,1052,1078,1091">,</WORD>
<WORD coords="1100,1086,1154,1038,1084">¡o</WORD>
<WORD coords="1208,1106,1322,1052,1086">que</WORD>
<WORD coords="1372,1086,1436,1050,1085">se</WORD>
<WORD coords="1498,1102,1796,1026,1080">consigue</WORD>
<WORD coords="1858,1080,1980,1044,1080">mu.</WORD>
<WORD coords="1990,1096,2332,1020,1077">tipleando</WORD>
<WORD coords="2382,1102,2524,1020,1087">(55)</WORD>
<WORD coords="2558,1076,2612,1020,1075">el</WORD>
<WORD coords="2678,1076,2712,1028,1078">3</WORD>
<WORD coords="2774,1096,2878,1042,1076">por</WORD>
<WORD coords="2906,1078,2974,1024,1073">9*</WORD>
</LINE>
<LINE>
<WORD coords="586,1200,650,1144,1198">ei</WORD>
<WORD coords="710,1214,1014,1140,1194">producto</WORD>
<WORD coords="1060,1198,1138,1146,1196">27</WORD>
<WORD coords="1180,1196,1454,1156,1194">novenos</WORD>
<WORD coords="1502,1192,1918,1134,1188">dividiremos</WORD>
<WORD coords="1980,1208,2090,1152,1186">por</WORD>
<WORD coords="2136,1188,2190,1134,1187">el</WORD>
<WORD coords="2246,1186,2486,1130,1185">divisor</WORD>
<WORD coords="2538,1188,2574,1136,1188">5</WORD>
<WORD coords="2630,1206,2672,1148,1197">y</WORD>
<WORD coords="2742,1184,2796,1130,1184">el</WORD>
<WORD coords="2854,1186,2966,1146,1185">co-</WORD>
</LINE>
<LINE>
<WORD coords="592,1316,800,1260,1311">ciente</WORD>
<WORD coords="868,1304,1002,1266,1302">sera</WORD>
<WORD coords="1050,1304,1086,1256,1304">5</WORD>
<WORD coords="1136,1304,1410,1266,1302">novenos</WORD>
<WORD coords="1472,1300,1600,1262,1298">mas</WORD>
<WORD coords="1660,1298,1696,1250,1298">2</WORD>
<WORD coords="1758,1314,2002,1240,1293">quietos</WORD>
<WORD coords="2052,1294,2128,1238,1293">de</WORD>
<WORD coords="2188,1292,2428,1254,1291">noveno</WORD>
<WORD coords="2486,1292,2524,1236,1295">ó</WORD>
<WORD coords="2606,1290,2640,1242,1296">5</WORD>
<WORD coords="2690,1304,2732,1240,1301">+</WORD>
<WORD coords="2778,1290,2816,1242,1290">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="768,1420,990,1364,1417">D&quot;nde</WORD>
<WORD coords="1040,1416,1250,1376,1413">vemos</WORD>
<WORD coords="1318,1428,1436,1372,1409">que</WORD>
<WORD coords="1498,1408,1552,1356,1407">el</WORD>
<WORD coords="1616,1422,1930,1344,1402">quebrado</WORD>
<WORD coords="1968,1414,2284,1340,1396">primitivo</WORD>
<WORD coords="2324,1398,2386,1362,1398">se</WORD>
<WORD coords="2418,1398,2500,1338,1398">ha</WORD>
<WORD coords="2770,1396,2806,1348,1396">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="592,1538,960,1472,1529">convertido</WORD>
<WORD coords="998,1526,1074,1488,1525">en</WORD>
<WORD coords="1122,1522,1258,1478,1520">otro</WORD>
<WORD coords="1290,1536,1450,1480,1516">cuyo</WORD>
<WORD coords="1476,1514,1922,1454,1510">denominador</WORD>
<WORD coords="1950,1508,2016,1470,1507">es</WORD>
<WORD coords="2062,1504,2100,1454,1509">9</WORD>
<WORD coords="2130,1522,2150,1494,1518">,</WORD>
<WORD coords="2178,1506,2236,1448,1506">el</WORD>
<WORD coords="2262,1506,2486,1448,1505">mismo</WORD>
<WORD coords="2684,1506,2722,1452,1506">9</WORD>
</LINE>
<LINE>
<WORD coords="594,1662,718,1606,1641">que</WORD>
<WORD coords="766,1640,828,1604,1639">se</WORD>
<WORD coords="870,1644,878,1606,1640">¡</WORD>
<WORD coords="906,1636,1034,1578,1635">idio</WORD>
<WORD coords="1064,1632,1136,1594,1631">en</WORD>
<WORD coords="1182,1630,1234,1578,1630">e!</WORD>
<WORD coords="1278,1626,1312,1580,1623">2</WORD>
<WORD coords="1424,1646,1716,1566,1620">ejemplo.</WORD>
<WORD coords="1768,1616,1920,1562,1615">Pero</WORD>
<WORD coords="1982,1614,2056,1578,1613">en</WORD>
<WORD coords="2112,1614,2166,1556,1613">el</WORD>
<WORD coords="2212,1612,2250,1558,1612">d</WORD>
<WORD coords="2282,1612,2496,1574,1610">scurso</WORD>
<WORD coords="2554,1612,2634,1556,1612">de</WORD>
<WORD coords="2666,1614,2798,1570,1611">esta</WORD>
<WORD coords="2830,1632,2982,1576,1614">ope-</WORD>
</LINE>
<LINE>
<WORD coords="600,1752,816,1694,1747">ración</WORD>
<WORD coords="888,1744,952,1708,1743">se</WORD>
<WORD coords="1004,1740,1084,1682,1739">ha</WORD>
<WORD coords="1140,1750,1570,1672,1731">multiplicado</WORD>
<WORD coords="1614,1728,1672,1672,1727">el</WORD>
<WORD coords="1740,1742,2206,1664,1721">mu&apos;tiplicador</WORD>
<WORD coords="2264,1734,2374,1680,1717">por</WORD>
<WORD coords="2410,1718,2464,1664,1717">el</WORD>
<WORD coords="2516,1718,2980,1660,1717">denominado»&quot;</WORD>
</LINE>
<LINE>
<WORD coords="598,1858,812,1816,1856">nuevo</WORD>
<WORD coords="848,1866,864,1842,1858">,</WORD>
<WORD coords="908,1850,964,1796,1849">el</WORD>
<WORD coords="1000,1866,1300,1788,1842">producto</WORD>
<WORD coords="1350,1840,1412,1804,1839">se</WORD>
<WORD coords="1470,1838,1548,1780,1837">ha</WORD>
<WORD coords="1604,1834,1894,1774,1831">dividido</WORD>
<WORD coords="1930,1848,2040,1792,1828">por</WORD>
<WORD coords="2086,1828,2156,1792,1827">su</WORD>
<WORD coords="2216,1826,2666,1766,1823">denominador</WORD>
<WORD coords="2708,1840,2980,1766,1822">primiti-</WORD>
</LINE>
<LINE>
<WORD coords="600,1968,676,1930,1965">vo</WORD>
<WORD coords="736,1984,774,1928,1972">y</WORD>
<WORD coords="816,1960,868,1908,1960">al</WORD>
<WORD coords="932,1960,1208,1900,1955">cociente</WORD>
<WORD coords="1262,1948,1326,1912,1948">se</WORD>
<WORD coords="1380,1948,1434,1894,1947">le</WORD>
<WORD coords="1490,1946,1568,1888,1945">ha</WORD>
<WORD coords="1604,1962,1820,1894,1941">puesto</WORD>
<WORD coords="1880,1958,1990,1896,1936">por</WORD>
<WORD coords="2050,1936,2500,1874,1931">denominador</WORD>
<WORD coords="2548,1932,2606,1874,1931">el</WORD>
<WORD coords="2656,1952,2776,1894,1934">que</WORD>
<WORD coords="2822,1932,2888,1894,1932">se</WORD>
<WORD coords="2918,1936,2978,1878,1934">le</WORD>
</LINE>
<LINE>
<WORD coords="598,2098,814,2020,2074">quiere</WORD>
<WORD coords="848,2070,952,2014,2069">da-</WORD>
<WORD coords="992,2080,1008,2034,2080">;</WORD>
<WORD coords="1068,2082,1222,2024,2061">uego</WORD>
<WORD coords="1254,2060,1368,2004,2058">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="852,2178,946,2124,2178">La</WORD>
<WORD coords="1012,2178,1198,2134,2175">razón</WORD>
<WORD coords="1240,2170,1316,2112,2170">d-</WORD>
<WORD coords="1364,2166,1420,2110,2166">la</WORD>
<WORD coords="1474,2176,1964,2098,2158">aproesimacion</WORD>
<WORD coords="2022,2172,2144,2112,2153">que</WORD>
<WORD coords="2202,2150,2418,2092,2147">hemos</WORD>
<WORD coords="2464,2146,2780,2086,2144">enseñado</WORD>
<WORD coords="2810,2158,2828,2132,2157">,</WORD>
<WORD coords="2878,2144,2948,2102,2143">es</WORD>
</LINE>
<LINE>
<WORD coords="598,2298,794,2236,2293">hacer</WORD>
<WORD coords="846,2288,900,2234,2286">el</WORD>
<WORD coords="964,2284,1176,2242,2280">menor</WORD>
<WORD coords="1234,2298,1536,2214,2273">perjuicio</WORD>
<WORD coords="1602,2288,1858,2210,2266">posible.</WORD>
<WORD coords="1952,2262,2070,2202,2259">Asi</WORD>
<WORD coords="2132,2256,2204,2220,2256">en</WORD>
<WORD coords="2264,2254,2516,2206,2251">nuestro</WORD>
<WORD coords="2572,2274,2840,2196,2251">ejemplo</WORD>
<WORD coords="2892,2254,2950,2192,2252">si</WORD>
</LINE>
<LINE>
<WORD coords="602,2406,630,2352,2403">á</WORD>
<WORD coords="680,2400,830,2344,2398">cada</WORD>
<WORD coords="874,2398,1132,2336,2392">h&gt;mbre</WORD>
<WORD coords="1186,2388,1250,2350,2387">se</WORD>
<WORD coords="1308,2382,1362,2330,2382">le</WORD>
<WORD coords="1414,2400,1562,2342,2378">paga</WORD>
<WORD coords="1622,2378,1656,2328,2376">5</WORD>
<WORD coords="1720,2374,1892,2334,2372">varas</WORD>
<WORD coords="1938,2370,2070,2332,2368">mas</WORD>
<WORD coords="2122,2368,2148,2318,2370">1</WORD>
<WORD coords="2186,2378,2200,2356,2375">,</WORD>
<WORD coords="2226,2364,2286,2310,2364">le</WORD>
<WORD coords="2326,2362,2612,2304,2358">daremos</WORD>
<WORD coords="2666,2356,2700,2306,2364">3</WORD>
<WORD coords="2756,2376,2934,2300,2357">quin-</WORD>
</LINE>
<LINE>
<WORD coords="604,2514,702,2468,2512">tos</WORD>
<WORD coords="750,2524,1076,2456,2506">dema-jy</WORD>
<WORD coords="1124,2498,1174,2440,2497">si</WORD>
<WORD coords="1228,2496,1284,2438,2494">le</WORD>
<WORD coords="1344,2494,1562,2436,2490">damos</WORD>
<WORD coords="1620,2488,1750,2430,2485">solo</WORD>
<WORD coords="1804,2484,1840,2434,2484">5</WORD>
<WORD coords="1890,2490,2106,2442,2479">varas,</WORD>
<WORD coords="2136,2474,2188,2418,2474">le</WORD>
<WORD coords="2242,2472,2462,2414,2467">damos</WORD>
<WORD coords="2506,2464,2542,2416,2473">2</WORD>
<WORD coords="2592,2482,2838,2406,2460">quintos</WORD>
<WORD coords="2870,2462,2954,2402,2461">de</WORD>
</LINE>
<LINE>
<WORD coords="604,2628,858,2580,2620">menos:</WORD>
<WORD coords="910,2636,1054,2578,2613">pero</WORD>
<WORD coords="1106,2628,1318,2566,2605">mayor</WORD>
<WORD coords="1370,2622,1672,2540,2598">perjuicio</WORD>
<WORD coords="1726,2592,1952,2534,2588">resulta</WORD>
<WORD coords="2014,2586,2088,2530,2585">de</WORD>
<WORD coords="2152,2596,2370,2520,2575">perder</WORD>
<WORD coords="2446,2574,2502,2516,2574">el</WORD>
<WORD coords="2556,2588,2826,2510,2565">pagador</WORD>
<WORD coords="2898,2564,2938,2514,2564">3</WORD>
</LINE>
<LINE>
<WORD coords="606,2752,856,2676,2732">quintos</WORD>
<WORD coords="918,2746,1036,2688,2725">que</WORD>
<WORD coords="1098,2722,1174,2664,2720">de</WORD>
<WORD coords="1234,2732,1456,2654,2711">perder</WORD>
<WORD coords="1506,2706,1560,2652,2706">el</WORD>
<WORD coords="1616,2704,1910,2642,2699">acreedor</WORD>
<WORD coords="1964,2696,1996,2646,2697">2</WORD>
<WORD coords="2056,2710,2300,2632,2685">quintos</WORD>
<WORD coords="2338,2696,2356,2648,2697">;</WORD>
<WORD coords="2414,2698,2598,2624,2677">luego</WORD>
<WORD coords="2658,2672,2964,2614,2671">debemos</WORD>
</LINE>
<LINE>
<WORD coords="602,2844,782,2714,2836">¡Un-</WORD>
<WORD coords="812,2838,864,2782,2836">el</WORD>
<WORD coords="890,2836,1104,2792,2830">menor</WORD>
<WORD coords="1158,2842,1458,2760,2817">perjuicio</WORD>
<WORD coords="1488,2834,1508,2802,2824">,</WORD>
<WORD coords="1542,2814,1676,2756,2811">cual</WORD>
<WORD coords="1708,2808,1770,2772,2807">es</WORD>
<WORD coords="1802,2806,1910,2750,2804">dar</WORD>
<WORD coords="1938,2802,2066,2744,2799">solo</WORD>
<WORD coords="2098,2796,2128,2750,2800">5</WORD>
<WORD coords="2170,2792,2342,2754,2790">varas</WORD>
<WORD coords="2386,2802,2834,2722,2781">despreciando</WORD>
<WORD coords="2876,2776,2936,2720,2776">el</WORD>
</LINE>
<LINE>
<WORD coords="606,2956,706,2902,2952">rfes</WORD>
<WORD coords="710,2948,884,2822,2945">&apos;duo.</WORD>
<WORD coords="980,2938,1132,2884,2936">Esto</WORD>
<WORD coords="1178,2932,1242,2894,2931">se</WORD>
<WORD coords="1294,2928,1514,2870,2925">deberá</WORD>
<WORD coords="1570,2924,1868,2858,2915">entender</WORD>
<WORD coords="1898,2924,1916,2900,2917">,</WORD>
<WORD coords="1960,2908,2198,2846,2904">cuando</WORD>
<WORD coords="2278,2896,2366,2842,2895">los</WORD>
<WORD coords="2418,2912,2746,2830,2887">perjuicios</WORD>
<WORD coords="2806,2882,2978,2842,2881">sean-</WORD>
</LINE>
<LINE>
<WORD coords="608,3062,978,2994,3054">inevitables</WORD>
<WORD coords="1012,3060,1032,3034,3062">,</WORD>
<WORD coords="1050,3064,1094,3008,3042">y</WORD>
<WORD coords="1152,3042,1210,2988,3042">lo</WORD>
<WORD coords="1266,3040,1440,2998,3037">serán</WORD>
<WORD coords="1476,3046,1740,2974,3030">siempre</WORD>
<WORD coords="1804,3038,1920,2982,3017">que</WORD>
<WORD coords="1966,3014,2052,2960,3013">las</WORD>
<WORD coords="2104,3010,2408,2946,3005">umd.de.</WORD>
<WORD coords="2456,2998,2778,2938,2993">inferiores</WORD>
<WORD coords="2830,2990,2980,2944,2985">sea»</WORD>
</LINE>
<LINE>
<WORD coords="608,3180,976,3110,3168">demasiado</WORD>
<WORD coords="1028,3174,1340,3114,3153">pequeñas</WORD>
<WORD coords="1374,3162,1518,3106,3144">para</WORD>
<WORD coords="1566,3158,1826,3080,3133">poderse</WORD>
<WORD coords="1872,3128,2228,3060,3120">subdividir</WORD>
<WORD coords="2260,3110,2334,3074,3110">en</WORD>
<WORD coords="2370,3108,2532,3062,3104">otras</WORD>
<WORD coords="2570,3118,2584,3070,3118">;</WORD>
<WORD coords="2630,3098,2664,3044,3098">,</WORD>
<WORD coords="2674,3098,2776,3058,3095">ero</WORD>
<WORD coords="2806,3114,2976,3054,3091">pres-</WORD>
</LINE>
<LINE>
<WORD coords="610,3286,950,3220,3279">eludiendo</WORD>
<WORD coords="1004,3274,1082,3216,3273">de</WORD>
<WORD coords="1140,3286,1474,3202,3258">perjuicios</WORD>
<WORD coords="1510,3266,1528,3238,3256">,</WORD>
<WORD coords="1574,3246,1754,3204,3243">como</WORD>
<WORD coords="1814,3236,1868,3182,3235">la</WORD>
<WORD coords="1926,3230,2120,3168,3227">nutad</WORD>
<WORD coords="2174,3224,2210,3188,3224">o</WORD>
<WORD coords="2264,3218,2394,3180,3216">mas</WORD>
<WORD coords="2442,3212,2518,3156,3212">de</WORD>
<WORD coords="2576,3204,2630,3154,3204">la</WORD>
<WORD coords="2668,3204,2862,3142,3200">mitad</WORD>
<WORD coords="2896,3196,2976,3142,3196">de</WORD>
</LINE>
<LINE>
<WORD coords="606,3404,732,3248,3398">1</WORD>
<WORD coords="768,3392,1004,3328,3386">unidad</WORD>
<WORD coords="1058,3392,1530,3232,3369">seVcsima</WORD>
<WORD coords="1588,3356,1720,3314,3353">mas</WORD>
<WORD coords="1766,3346,1796,3310,3346">a</WORD>
<WORD coords="1842,3448,2980,3226,3410">^^^jt</WORD>
</LINE>
<LINE>
<WORD coords="608,3508,724,3468,3506">C8n</WORD>
<WORD coords="734,3502,772,3446,3502">,</WORD>
<WORD coords="784,3500,910,3438,3496">dad</WORD>
<WORD coords="970,3504,1090,3452,3490">que</WORD>
<WORD coords="1136,3484,1240,3446,3482">sea</WORD>
<WORD coords="1300,3476,1490,3432,3472">meno</WORD>
<WORD coords="1490,3578,2492,3376,3534">^^^Z</WORD>
<WORD coords="2554,3546,2792,3464,3520">igualo</WORD>
<WORD coords="2850,3514,2976,3476,3514">ma-</WORD>
</LINE>
<LINE>
<WORD coords="608,3744,1478,3526,3713">;;r;r\:^^</WORD>
<WORD coords="1530,3678,2040,3516,3667">LominaLr,</WORD>
<WORD coords="2132,3672,2172,3614,3668">y</WORD>
<WORD coords="2252,3658,2672,3574,3636">despreciarlo</WORD>
<WORD coords="2740,3624,2982,3562,3621">cuando</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="608,3932,862,3756,3932">^</WORD>
<WORD coords="866,3920,1232,3772,3910">pierna</WORD>
<WORD coords="1290,3918,1330,3868,3918">v</WORD>
<WORD coords="1358,3904,1742,3834,3896">resolución.</WORD>
<WORD coords="1830,3882,1996,3822,3877">Para</WORD>
<WORD coords="2040,3872,2286,3804,3867">re^r</WORD>
<WORD coords="2334,3856,2368,3818,3856">a</WORD>
<WORD coords="2428,3956,2788,3796,3842">^osun</WORD>
<WORD coords="2840,3858,2986,3744,3858">M</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0078.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0079.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0079.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1338,618,1482,530,617">69</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="226,736,502,675,732">división</WORD>
<WORD coords="557,736,845,677,734">indicada</WORD>
<WORD coords="877,750,892,724,750">,</WORD>
<WORD coords="936,757,1124,678,734">luego</WORD>
<WORD coords="1170,735,1222,679,734">si</WORD>
<WORD coords="1282,736,1345,701,735">se</WORD>
<WORD coords="1395,753,1590,681,735">puede</WORD>
<WORD coords="1638,736,1828,680,734">hacer</WORD>
<WORD coords="1873,736,2057,678,735">dicha</WORD>
<WORD coords="2131,733,2400,676,731">división</WORD>
<WORD coords="2427,741,2442,718,737">,</WORD>
<WORD coords="2523,732,2586,670,732">ta</WORD>
</LINE>
<LINE>
<WORD coords="231,858,714,784,838">ejecutaremos.</WORD>
<WORD coords="809,863,1079,786,840">Ejemplo</WORD>
<WORD coords="1108,841,1130,807,841">:</WORD>
<WORD coords="1180,841,1259,788,840">29</WORD>
<WORD coords="1303,842,1527,785,840">tercios</WORD>
<WORD coords="1582,841,1644,807,840">es</WORD>
<WORD coords="1693,862,1860,788,842">igual</WORD>
<WORD coords="1917,843,1946,790,841">á</WORD>
<WORD coords="1998,840,2036,789,840">9</WORD>
<WORD coords="2080,842,2328,796,839">enteros</WORD>
<WORD coords="2379,837,2508,798,836">mas</WORD>
<WORD coords="2543,836,2584,782,836">2</WORD>
</LINE>
<LINE>
<WORD coords="228,949,458,891,946">tercios</WORD>
<WORD coords="493,966,513,934,966">,</WORD>
<WORD coords="556,970,751,912,947">según</WORD>
<WORD coords="805,950,871,913,950">se</WORD>
<WORD coords="908,949,979,912,949">ve</WORD>
<WORD coords="1026,968,1339,892,948">indicado,</WORD>
<WORD coords="1428,948,1508,896,947">29</WORD>
<WORD coords="1551,957,1658,919,957">^zz</WORD>
<WORD coords="1701,947,1737,896,947">9</WORD>
<WORD coords="1786,959,1828,895,953">+</WORD>
<WORD coords="1876,948,1939,901,938">2*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1460,1056,1495,1008,1056">3</WORD>
<WORD coords="1878,1054,1934,965,1054">í</WORD>
</LINE>
<LINE>
<WORD coords="773,1195,1187,1130,1190">ADICION</WORD>
<WORD coords="1242,1189,1362,1131,1188">DE</WORD>
<WORD coords="1415,1201,2016,1129,1187">QUEBRADOS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="314,1366,456,1309,1365">117.</WORD>
<WORD coords="547,1367,877,1307,1365">Problema</WORD>
<WORD coords="935,1385,975,1327,1376">y</WORD>
<WORD coords="1020,1367,1388,1308,1365">resolución.</WORD>
<WORD coords="1456,1369,1619,1312,1367">Para</WORD>
<WORD coords="1667,1366,1876,1326,1365">sumar</WORD>
<WORD coords="1925,1389,2255,1307,1363">quebrados</WORD>
<WORD coords="2308,1384,2586,1308,1363">homogé-</WORD>
</LINE>
<LINE>
<WORD coords="220,1473,364,1428,1470">neos</WORD>
<WORD coords="398,1486,417,1459,1478">,</WORD>
<WORD coords="463,1470,527,1434,1470">se</WORD>
<WORD coords="576,1473,713,1436,1471">sum</WORD>
<WORD coords="739,1471,866,1420,1469">arán</WORD>
<WORD coords="923,1471,1014,1417,1470">los</WORD>
<WORD coords="1087,1473,1533,1417,1471">numeradores</WORD>
<WORD coords="1591,1492,1631,1436,1482">y</WORD>
<WORD coords="1690,1473,1722,1420,1472">á</WORD>
<WORD coords="1768,1472,1897,1428,1472">esta</WORD>
<WORD coords="1961,1472,2140,1434,1471">suma</WORD>
<WORD coords="2185,1472,2249,1435,1470">se</WORD>
<WORD coords="2316,1470,2372,1417,1470">le</WORD>
<WORD coords="2436,1487,2586,1432,1468">pon-</WORD>
</LINE>
<LINE>
<WORD coords="227,1575,335,1519,1574">drá</WORD>
<WORD coords="390,1574,443,1521,1574">el</WORD>
<WORD coords="500,1576,951,1519,1575">denominador</WORD>
<WORD coords="1004,1577,1228,1540,1575">común</WORD>
<WORD coords="1266,1558,1283,1544,1567">•</WORD>
<WORD coords="1363,1577,1414,1521,1576">si</WORD>
<WORD coords="1470,1578,1578,1539,1577">son</WORD>
<WORD coords="1628,1598,2079,1520,1577">heterogéneos</WORD>
<WORD coords="2136,1577,2199,1542,1576">se</WORD>
<WORD coords="2260,1576,2588,1520,1573">reducirán</WORD>
</LINE>
<LINE>
<WORD coords="218,1682,249,1626,1682">á</WORD>
<WORD coords="300,1702,719,1624,1680">homogéneos</WORD>
<WORD coords="753,1696,770,1671,1689">,</WORD>
<WORD coords="804,1682,841,1626,1682">ó</WORD>
<WORD coords="883,1682,940,1628,1681">io</WORD>
<WORD coords="985,1702,1104,1647,1684">que</WORD>
<WORD coords="1159,1684,1222,1647,1684">es</WORD>
<WORD coords="1267,1685,1325,1630,1684">lo</WORD>
<WORD coords="1360,1685,1586,1628,1684">mismo</WORD>
<WORD coords="1622,1699,1638,1673,1690">,</WORD>
<WORD coords="1672,1682,1700,1648,1682">a</WORD>
<WORD coords="1728,1685,1807,1647,1684">un</WORD>
<WORD coords="1841,1684,2063,1647,1682">común</WORD>
<WORD coords="2099,1682,2578,1624,1680">denominador.</WORD>
</LINE>
<LINE>
<WORD coords="217,1788,300,1732,1788">E\</WORD>
<WORD coords="353,1806,672,1731,1787">quebrado</WORD>
<WORD coords="750,1805,869,1752,1789">que</WORD>
<WORD coords="933,1792,1161,1737,1790">resulta</WORD>
<WORD coords="1221,1792,1298,1734,1791">de</WORD>
<WORD coords="1368,1793,1580,1753,1791">sumar</WORD>
<WORD coords="1657,1791,1750,1736,1789">los</WORD>
<WORD coords="1802,1790,1970,1745,1788">otros</WORD>
<WORD coords="2004,1805,2021,1777,1797">,</WORD>
<WORD coords="2065,1789,2129,1753,1789">se</WORD>
<WORD coords="2187,1808,2585,1733,1789">simplificará</WORD>
</LINE>
<LINE>
<WORD coords="217,1898,274,1839,1897">si</WORD>
<WORD coords="325,1898,389,1859,1897">se</WORD>
<WORD coords="452,1917,652,1842,1897">puede</WORD>
<WORD coords="686,1910,702,1883,1910">,</WORD>
<WORD coords="759,1916,798,1861,1906">y</WORD>
<WORD coords="849,1895,897,1840,1895">si</WORD>
<WORD coords="946,1897,1010,1861,1896">es</WORD>
<WORD coords="1069,1918,1378,1842,1897">impropio</WORD>
<WORD coords="1440,1898,1507,1862,1897">se</WORD>
<WORD coords="1558,1898,1612,1843,1897">le</WORD>
<WORD coords="1672,1898,1920,1842,1896">sacarán</WORD>
<WORD coords="1971,1895,2059,1843,1894">los</WORD>
<WORD coords="2120,1897,2387,1851,1895">enteros.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="463,2028,735,1949,2005">Ejemplo</WORD>
<WORD coords="787,2007,837,1957,2006">í.</WORD>
<WORD coords="867,1986,902,1951,1995">°</WORD>
<WORD coords="974,2007,1278,1949,2006">Súmense</WORD>
<WORD coords="1370,2010,1393,1960,2008">1</WORD>
<WORD coords="1427,2023,1448,1994,2023">?</WORD>
<WORD coords="1534,2007,1567,1958,2007">3</WORD>
<WORD coords="1605,2018,1619,1993,2012">,</WORD>
<WORD coords="1708,2007,1743,1960,2007">5</WORD>
<WORD coords="1780,2019,1797,1974,2012">;</WORD>
<WORD coords="1888,2006,2087,1949,2005">Como</WORD>
<WORD coords="2140,2006,2248,1965,2003">son</WORD>
<WORD coords="2279,2023,2582,1946,2001">homoge-</WORD>
</LINE>
<LINE>
<WORD coords="1358,2114,1407,2038,2094">8*</WORD>
<WORD coords="1523,2115,1559,2067,2114">8</WORD>
<WORD coords="1707,2116,1742,2068,2116">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="214,2193,367,2151,2191">neos</WORD>
<WORD coords="401,2205,419,2179,2199">,</WORD>
<WORD coords="465,2193,645,2156,2191">sumo</WORD>
<WORD coords="693,2192,784,2137,2191">los</WORD>
<WORD coords="829,2197,1274,2136,2194">numeradores</WORD>
<WORD coords="1334,2212,1477,2148,2204">1,3</WORD>
<WORD coords="1531,2219,1571,2163,2208">y</WORD>
<WORD coords="1614,2198,1647,2149,2198">5</WORD>
<WORD coords="1686,2218,1722,2163,2218">y</WORD>
<WORD coords="1754,2218,1940,2154,2196">tenga</WORD>
<WORD coords="1985,2196,2023,2145,2195">9</WORD>
<WORD coords="2068,2195,2097,2142,2195">á</WORD>
<WORD coords="2145,2211,2330,2138,2193">quien</WORD>
<WORD coords="2377,2213,2582,2155,2193">pongo</WORD>
</LINE>
<LINE>
<WORD coords="214,2302,274,2247,2301">ti</WORD>
<WORD coords="325,2306,775,2243,2301">denominador</WORD>
<WORD coords="824,2299,858,2251,2301">8</WORD>
<WORD coords="892,2320,909,2289,2320">,</WORD>
<WORD coords="956,2322,998,2263,2313">y</WORD>
<WORD coords="1055,2304,1153,2266,2303">me</WORD>
<WORD coords="1198,2306,1427,2250,2304">resulta</WORD>
<WORD coords="1472,2307,1530,2250,2306">la</WORD>
<WORD coords="1576,2307,1753,2269,2306">suma</WORD>
<WORD coords="1813,2326,1980,2248,2304">igual</WORD>
<WORD coords="2034,2307,2061,2250,2305">á</WORD>
<WORD coords="2151,2303,2188,2252,2303">9</WORD>
<WORD coords="2222,2298,2330,2261,2300">=</WORD>
<WORD coords="2382,2301,2405,2253,2302">1</WORD>
<WORD coords="2444,2310,2488,2249,2306">+</WORD>
<WORD coords="2527,2299,2582,2252,2298">1.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2167,2412,2220,2340,2389">8~</WORD>
<WORD coords="2522,2407,2579,2328,2407">Ü</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="468,2491,527,2442,2491">2.</WORD>
<WORD coords="554,2471,590,2434,2482">°</WORD>
<WORD coords="701,2493,1002,2434,2492">Súmense</WORD>
<WORD coords="1088,2512,1287,2444,2498">2,3,</WORD>
<WORD coords="1350,2495,1384,2446,2495">5</WORD>
<WORD coords="1447,2498,1529,2440,2497">de</WORD>
<WORD coords="1561,2498,1703,2456,2496">vara</WORD>
<WORD coords="1731,2512,1749,2462,2503">;</WORD>
<WORD coords="1795,2494,1886,2439,2492">los</WORD>
<WORD coords="1931,2495,2221,2438,2494">reduciré</WORD>
<WORD coords="2257,2495,2287,2441,2494">á</WORD>
<WORD coords="2336,2494,2417,2456,2492">un</WORD>
<WORD coords="2470,2491,2575,2453,2490">co-</WORD>
</LINE>
<LINE>
<WORD coords="1098,2598,1130,2551,2599">3</WORD>
<WORD coords="1192,2604,1250,2528,2581">5*</WORD>
<WORD coords="1345,2600,1382,2552,2600">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="211,2682,359,2635,2680">tmm</WORD>
<WORD coords="394,2682,843,2621,2680">denominador</WORD>
<WORD coords="869,2701,909,2645,2692">y</WORD>
<WORD coords="946,2683,1164,2625,2681">tendré</WORD>
<WORD coords="1197,2686,1278,2634,2686">60</WORD>
<WORD coords="1324,2703,1366,2634,2695">+</WORD>
<WORD coords="1415,2688,1494,2635,2685">54</WORD>
<WORD coords="1540,2681,1585,2629,2681">+</WORD>
<WORD coords="1657,2685,1732,2628,2684">75</WORD>
<WORD coords="1817,2703,1857,2646,2693">y</WORD>
<WORD coords="1921,2684,2225,2625,2682">sumando</WORD>
<WORD coords="2295,2684,2389,2628,2683">los</WORD>
<WORD coords="2456,2681,2573,2639,2679">nu-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="209,2869,569,2812,2867">meradores</WORD>
<WORD coords="629,2890,670,2834,2888">y</WORD>
<WORD coords="718,2887,1027,2813,2871">poniendo</WORD>
<WORD coords="1091,2872,1117,2818,2872">á</WORD>
<WORD coords="1183,2872,1312,2827,2871">esta</WORD>
<WORD coords="1371,2872,1543,2835,2871">suma</WORD>
<WORD coords="1602,2872,1659,2815,2871">el</WORD>
<WORD coords="1705,2873,2156,2815,2871">denominador</WORD>
<WORD coords="2188,2887,2445,2814,2873">comunj</WORD>
<WORD coords="2468,2872,2566,2832,2871">se-</WORD>
</LINE>
<LINE>
<WORD coords="208,2974,278,2933,2974">ra</WORD>
<WORD coords="326,2973,381,2920,2973">el</WORD>
<WORD coords="427,2976,741,2922,2974">resultado</WORD>
<WORD coords="795,2979,907,2926,2978">189</WORD>
<WORD coords="939,2992,955,2946,2986">;</WORD>
<WORD coords="1016,2980,1093,2922,2980">de</WORD>
<WORD coords="1140,2979,1269,2934,2978">este</WORD>
<WORD coords="1320,2999,1639,2923,2979">quebrado</WORD>
<WORD coords="1683,3000,1994,2922,2979">impropio</WORD>
<WORD coords="2060,2980,2204,2942,2979">saco</WORD>
<WORD coords="2251,2977,2340,2923,2976">los</WORD>
<WORD coords="2398,2980,2567,2932,2977">ente-</WORD>
</LINE>
<LINE>
<WORD coords="797,3084,908,3008,3083">co</WORD>
<WORD coords="1939,3050,1989,3000,3050">*</WORD>
</LINE>
<LINE>
<WORD coords="201,3165,304,3120,3162">ros</WORD>
<WORD coords="363,3183,405,3126,3175">y</WORD>
<WORD coords="479,3167,697,3109,3164">tendré</WORD>
<WORD coords="743,3167,797,3112,3166">la</WORD>
<WORD coords="872,3171,1047,3129,3167">suma</WORD>
<WORD coords="1107,3192,1277,3109,3166">igual</WORD>
<WORD coords="1334,3169,1367,3112,3169">á</WORD>
<WORD coords="1454,3169,1491,3120,3169">2</WORD>
<WORD coords="1538,3175,1581,3114,3171">+</WORD>
<WORD coords="1627,3163,1664,3113,3165">9</WORD>
<WORD coords="1719,3173,1901,3128,3170">varas</WORD>
<WORD coords="1933,3186,1952,3152,3186">f</WORD>
<WORD coords="2008,3189,2050,3130,3187">y</WORD>
<WORD coords="2103,3188,2561,3109,3168">simplificando</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="197,3352,255,3295,3351">el</WORD>
<WORD coords="305,3371,621,3297,3352">quebrado</WORD>
<WORD coords="653,3372,673,3342,3364">,</WORD>
<WORD coords="725,3357,861,3318,3356">sera</WORD>
<WORD coords="950,3358,986,3310,3357">2</WORD>
<WORD coords="1163,3362,1215,3314,3362">1.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1148,3469,1223,3421,3468">10</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="446,3550,933,3486,3545">Demostración,</WORD>
<WORD coords="1025,3550,1152,3494,3549">Los</WORD>
<WORD coords="1191,3567,1538,3493,3550">quebrados</WORD>
<WORD coords="1573,3554,1769,3493,3551">deben</WORD>
<WORD coords="1815,3554,1914,3513,3551">ser</WORD>
<WORD coords="1941,3574,2386,3495,3551">homogéneos,</WORD>
<WORD coords="2413,3567,2555,3504,3555">pal**</WORD>
</LINE>
<LINE>
<WORD coords="192,3662,457,3588,3645">poderse</WORD>
<WORD coords="512,3671,786,3596,3650">ejecutar</WORD>
<WORD coords="847,3653,901,3601,3652">la</WORD>
<WORD coords="948,3656,1120,3620,3655">suma</WORD>
<WORD coords="1152,3682,1290,3603,3667">[36]</WORD>
<WORD coords="1328,3670,1342,3625,3662">;</WORD>
<WORD coords="1399,3655,1462,3622,3654">se</WORD>
<WORD coords="1514,3657,1730,3621,3656">suman</WORD>
<WORD coords="1778,3657,1868,3604,3657">los</WORD>
<WORD coords="1915,3660,2360,3606,3658">numeradores</WORD>
<WORD coords="2412,3676,2552,3625,3661">por*</WORD>
</LINE>
<LINE>
<WORD coords="194,3767,317,3713,3750">que</WORD>
<WORD coords="365,3753,442,3717,3752">en</WORD>
<WORD coords="490,3758,642,3700,3755">ellos</WORD>
<WORD coords="676,3758,800,3706,3757">está</WORD>
<WORD coords="847,3759,902,3705,3758">el</WORD>
<WORD coords="952,3760,1122,3708,3759">valor</WORD>
<WORD coords="1168,3762,1268,3708,3761">del</WORD>
<WORD coords="1308,3779,1621,3706,3759">quebrad^</WORD>
<WORD coords="1654,3776,1669,3729,3770">;</WORD>
<WORD coords="1703,3764,1733,3710,3763">á</WORD>
<WORD coords="1764,3762,1893,3718,3761">esta</WORD>
<WORD coords="1943,3765,2118,3728,3763">suma</WORD>
<WORD coords="2159,3765,2221,3731,3764">se</WORD>
<WORD coords="2253,3767,2407,3710,3766">debe</WORD>
<WORD coords="2446,3780,2550,3730,3766">po-</WORD>
</LINE>
<LINE>
<WORD coords="188,3855,297,3815,3854">ner</WORD>
<WORD coords="343,3859,397,3807,3858">el</WORD>
<WORD coords="443,3863,900,3803,3860">denominador</WORD>
<WORD coords="933,3867,1161,3826,3866">común</WORD>
<WORD coords="1190,3878,1206,3854,3878">,</WORD>
<WORD coords="1242,3885,1385,3829,3866">para</WORD>
<WORD coords="1435,3866,1611,3812,3864">saber</WORD>
<WORD coords="1645,3864,1699,3814,3863">el</WORD>
<WORD coords="1758,3867,2013,3812,3865">nombre</WORD>
<WORD coords="2059,3870,2135,3816,3868">de</WORD>
<WORD coords="2181,3870,2268,3816,3869">las</WORD>
<WORD coords="2319,3886,2538,3826,3868">partes.</WORD>
</LINE>
<LINE>
<WORD coords="194,3964,290,3903,3961">A»a</WORD>
<WORD coords="340,3985,809,3908,3967">simplificación</WORD>
<WORD coords="867,3989,985,3934,3972">que</WORD>
<WORD coords="1041,3973,1108,3935,3973">se</WORD>
<WORD coords="1159,3973,1309,3914,3971">hace</WORD>
<WORD coords="1381,3970,1445,3935,3969">es</WORD>
<WORD coords="1499,3994,1733,3936,3973">porque</WORD>
<WORD coords="1774,3975,1866,3923,3973">los</WORD>
<WORD coords="1917,3978,2263,3929,3976">resultados</WORD>
<WORD coords="2312,3974,2378,3938,3974">se</WORD>
<WORD coords="2430,3973,2539,3918,3972">de-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1319,4080,1395,4024,4077">19</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0079.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0080.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0080.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="684,734,800,672,733">ten</WORD>
<WORD coords="855,753,1178,693,739">presentar</WORD>
<WORD coords="1233,747,1346,705,745">con</WORD>
<WORD coords="1411,747,1466,687,745">fa</WORD>
<WORD coords="1527,769,1744,709,748">mayor</WORD>
<WORD coords="1798,761,2116,700,755">sencillez.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="770,844,904,792,846">118.</WORD>
<WORD coords="1003,851,1325,793,848">Problema</WORD>
<WORD coords="1377,874,1420,814,868">y</WORD>
<WORD coords="1467,860,1839,800,854">resolución.</WORD>
<WORD coords="1937,864,2100,809,862">Para</WORD>
<WORD coords="2161,868,2369,827,866">sumar</WORD>
<WORD coords="2423,871,2504,831,871">un</WORD>
<WORD coords="2536,876,2740,825,872">entero</WORD>
<WORD coords="2786,878,2895,837,876">con</WORD>
<WORD coords="2964,883,3056,804,882">tík</WORD>
</LINE>
<LINE>
<WORD coords="677,972,984,892,949">quebrado</WORD>
<WORD coords="1055,955,1086,917,955">o</WORD>
<WORD coords="1154,958,1235,919,957">un</WORD>
<WORD coords="1291,981,1589,903,960">quebrado</WORD>
<WORD coords="1667,965,1777,928,964">con</WORD>
<WORD coords="1847,967,1938,909,967">uñ</WORD>
<WORD coords="1997,971,2199,926,969">entero</WORD>
<WORD coords="2232,992,2249,962,984">,</WORD>
<WORD coords="2303,977,2368,939,976">se</WORD>
<WORD coords="2432,981,2659,924,979">reduce</WORD>
<WORD coords="2749,981,2801,927,980">el</WORD>
<WORD coords="2878,984,3052,941,983">ente-</WORD>
</LINE>
<LINE>
<WORD coords="675,1053,749,1012,1053">ro</WORD>
<WORD coords="796,1055,823,1005,1065">á</WORD>
<WORD coords="869,1058,924,1001,1057">la</WORD>
<WORD coords="978,1071,1224,1008,1060">especie</WORD>
<WORD coords="1282,1065,1381,1009,1064">del</WORD>
<WORD coords="1430,1085,1746,1013,1069">quebrado</WORD>
<WORD coords="1796,1092,1912,1038,1074">que</WORD>
<WORD coords="1964,1076,2016,1021,1075">le</WORD>
<WORD coords="2064,1096,2400,1031,1079">acompaña</WORD>
<WORD coords="2434,1099,2448,1073,1099">,</WORD>
<WORD coords="2475,1103,2952,1030,1086">multiplicando</WORD>
<WORD coords="2986,1092,3043,1034,1090">ei</WORD>
</LINE>
<LINE>
<WORD coords="676,1162,892,1116,1161">entero</WORD>
<WORD coords="955,1184,1064,1129,1165">por</WORD>
<WORD coords="1114,1170,1169,1114,1169">el</WORD>
<WORD coords="1219,1179,1670,1116,1174">denominador</WORD>
<WORD coords="1704,1192,1718,1168,1192">,</WORD>
<WORD coords="1764,1201,1804,1145,1192">y</WORD>
<WORD coords="1861,1184,1891,1129,1184">á</WORD>
<WORD coords="1945,1185,2076,1140,1183">este</WORD>
<WORD coords="2127,1205,2427,1132,1187">producto</WORD>
<WORD coords="2474,1193,2536,1156,1192">se</WORD>
<WORD coords="2586,1193,2778,1137,1192">añade</WORD>
<WORD coords="2828,1192,2880,1140,1192">el</WORD>
<WORD coords="2924,1199,3034,1159,1197">nu-</WORD>
</LINE>
<LINE>
<WORD coords="672,1272,966,1215,1269">merador</WORD>
<WORD coords="1002,1293,1044,1236,1290">y</WORD>
<WORD coords="1096,1276,1162,1238,1275">se</WORD>
<WORD coords="1208,1278,1260,1222,1276">le</WORD>
<WORD coords="1322,1297,1476,1241,1279">pone</WORD>
<WORD coords="1530,1285,1584,1231,1284">ei</WORD>
<WORD coords="1645,1287,1869,1230,1285">mismo</WORD>
<WORD coords="1918,1295,2387,1236,1291">denominador,</WORD>
<WORD coords="2449,1299,2527,1242,1298">V.</WORD>
<WORD coords="2582,1318,2641,1267,1305">g.</WORD>
<WORD coords="2704,1300,2963,1243,1298">Súmese</WORD>
<WORD coords="2999,1298,3033,1249,1298">3</WORD>
</LINE>
<LINE>
<WORD coords="672,1394,856,1333,1376">pesos</WORD>
<WORD coords="905,1380,1015,1342,1379">con</WORD>
<WORD coords="1090,1427,1147,1332,1411">£</WORD>
<WORD coords="1185,1386,1262,1328,1385">de</WORD>
<WORD coords="1319,1407,1465,1349,1388">peso</WORD>
<WORD coords="1493,1403,1511,1357,1403">;</WORD>
<WORD coords="1549,1413,1962,1336,1394">multiplicaré</WORD>
<WORD coords="2018,1396,2050,1347,1396">3</WORD>
<WORD coords="2102,1418,2213,1362,1399">por</WORD>
<WORD coords="2272,1403,2306,1353,1403">8</WORD>
<WORD coords="2359,1426,2400,1367,1416">y</WORD>
<WORD coords="2460,1407,2517,1351,1406">el</WORD>
<WORD coords="2576,1429,2881,1348,1405">product</WORD>
<WORD coords="2940,1408,3022,1354,1407">24»</WORD>
</LINE>
<LINE>
<WORD coords="1099,1490,1136,1439,1490">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="673,1569,927,1510,1565">sumaré</WORD>
<WORD coords="999,1573,1114,1532,1572">con</WORD>
<WORD coords="1160,1575,1200,1523,1578">5</WORD>
<WORD coords="1229,1592,1251,1560,1586">,</WORD>
<WORD coords="1289,1579,1353,1518,1577">lo</WORD>
<WORD coords="1399,1599,1523,1540,1580">que</WORD>
<WORD coords="1568,1583,1667,1542,1582">me</WORD>
<WORD coords="1714,1585,1788,1526,1585">da</WORD>
<WORD coords="1848,1604,1962,1546,1587">por</WORD>
<WORD coords="2020,1590,2197,1552,1589">suma</WORD>
<WORD coords="2259,1599,2358,1543,1595">29.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2241,1699,2355,1623,1699">&quot;Y*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="758,1755,875,1702,1759">119</WORD>
<WORD coords="991,1763,1174,1701,1760">Prob.</WORD>
<WORD coords="1231,1786,1285,1725,1781">y</WORD>
<WORD coords="1316,1771,1581,1711,1767">resolüc.</WORD>
<WORD coords="1636,1777,1807,1716,1772">Para</WORD>
<WORD coords="1851,1775,2060,1736,1774">sumar</WORD>
<WORD coords="2113,1784,2392,1742,1781">números</WORD>
<WORD coords="2441,1787,2649,1731,1785">mistos</WORD>
<WORD coords="2691,1788,2799,1747,1787">con</WORD>
<WORD coords="2831,1788,3036,1747,1787">mtm&amp;</WORD>
</LINE>
<LINE>
<WORD coords="665,1860,771,1817,1859">tes</WORD>
<WORD coords="814,1881,1072,1805,1861">mistos,</WORD>
<WORD coords="1129,1868,1196,1830,1867">se</WORD>
<WORD coords="1240,1875,1458,1833,1871">suman</WORD>
<WORD coords="1516,1894,1786,1819,1875">primero</WORD>
<WORD coords="1843,1881,1933,1827,1880">los</WORD>
<WORD coords="1982,1899,2328,1829,1885">quebrados</WORD>
<WORD coords="2378,1890,2488,1853,1888">con</WORD>
<WORD coords="2542,1892,2633,1840,1890">los</WORD>
<WORD coords="2686,1910,3038,1837,1891">quebrados</WORD>
</LINE>
<LINE>
<WORD coords="661,1985,707,1924,1985">y</WORD>
<WORD coords="755,1984,1020,1909,1966">después</WORD>
<WORD coords="1062,1973,1152,1915,1972">los</WORD>
<WORD coords="1211,1987,1510,1932,1976">enteros,</WORD>
<WORD coords="1560,1984,1873,1926,1982">cuidando</WORD>
<WORD coords="1930,1987,2005,1930,1985">de</WORD>
<WORD coords="2062,1990,2272,1951,1988">sumar</WORD>
<WORD coords="2334,1995,2445,1956,1993">con</WORD>
<WORD coords="2494,1999,2659,1953,1997">estos</WORD>
<WORD coords="2715,1998,2802,1944,1998">los</WORD>
<WORD coords="2864,1999,3045,1956,1997">ente-</WORD>
</LINE>
<LINE>
<WORD coords="661,2070,764,2027,2069">iros</WORD>
<WORD coords="801,2089,818,2060,2090">,</WORD>
<WORD coords="862,2093,981,2039,2074">que</WORD>
<WORD coords="1029,2081,1298,2025,2079">resulten</WORD>
<WORD coords="1353,2085,1432,2027,2084">de</WORD>
<WORD coords="1488,2086,1542,2029,2084">la</WORD>
<WORD coords="1597,2090,1774,2050,2088">suma</WORD>
<WORD coords="1836,2091,1913,2036,2090">de</WORD>
<WORD coords="1970,2093,2060,2038,2092">los</WORD>
<WORD coords="2112,2113,2458,2044,2097">quebrados</WORD>
<WORD coords="2485,2117,2501,2070,2111">;</WORD>
<WORD coords="2545,2105,2595,2050,2105">si</WORD>
<WORD coords="2630,2105,2718,2051,2104">ios</WORD>
<WORD coords="2771,2121,3031,2048,2103">quebra-</WORD>
</LINE>
<LINE>
<WORD coords="662,2179,779,2121,2178">dos</WORD>
<WORD coords="825,2180,933,2145,2179">son</WORD>
<WORD coords="968,2209,1450,2126,2186">heterogéneos,</WORD>
<WORD coords="1485,2193,1550,2157,2193">se</WORD>
<WORD coords="1606,2200,1877,2141,2197">reducen</WORD>
<WORD coords="1926,2197,1952,2163,2197">a</WORD>
<WORD coords="1989,2224,2437,2142,2202">homogéneos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="917,2297,1010,2240,2296">En</WORD>
<WORD coords="1054,2299,1106,2244,2297">el</WORD>
<WORD coords="1156,2323,1424,2247,2301">ejemplo</WORD>
<WORD coords="1478,2308,1554,2250,2308">de</WORD>
<WORD coords="1611,2311,1665,2252,2311">ía</WORD>
<WORD coords="1720,2331,1971,2272,2311">margen</WORD>
<WORD coords="2028,2318,2208,2279,2317">sumo</WORD>
<WORD coords="2259,2337,2528,2267,2321">primero</WORD>
<WORD coords="2576,2325,2665,2270,2320">los</WORD>
<WORD coords="2769,2319,2849,2265,2319">27</WORD>
<WORD coords="2889,2331,2937,2264,2324">+</WORD>
<WORD coords="2978,2318,3019,2252,2318">í</WORD>
</LINE>
<LINE>
<WORD coords="662,2418,1016,2340,2398">quebrados</WORD>
<WORD coords="1075,2426,1116,2368,2421">y</WORD>
<WORD coords="1163,2407,1219,2350,2406">la</WORD>
<WORD coords="1275,2413,1452,2373,2411">suma</WORD>
<WORD coords="1498,2415,1564,2376,2414">es</WORD>
<WORD coords="1625,2418,1697,2368,2418">12</WORD>
<WORD coords="1758,2437,2073,2365,2419">ochavos,</WORD>
<WORD coords="2134,2423,2208,2368,2423">de</WORD>
<WORD coords="2258,2425,2314,2373,2425">d&lt;</WORD>
<WORD coords="2342,2428,2459,2373,2427">nde</WORD>
<WORD coords="2521,2430,2663,2392,2429">saco</WORD>
<WORD coords="2966,2424,3022,2346,2424">&quot;I</WORD>
</LINE>
<LINE>
<WORD coords="660,2506,779,2465,2504">una</WORD>
<WORD coords="827,2509,1060,2452,2507">unidad</WORD>
<WORD coords="1119,2531,1237,2477,2515">qne</WORD>
<WORD coords="1285,2534,1586,2476,2517">reservo,</WORD>
<WORD coords="1635,2544,1681,2485,2544">y</WORD>
<WORD coords="1730,2544,1969,2468,2523">quedan</WORD>
<WORD coords="2034,2528,2072,2486,2528">4</WORD>
<WORD coords="2131,2533,2397,2476,2530">ochavos</WORD>
<WORD coords="2433,2548,2448,2502,2541">;</WORD>
<WORD coords="2481,2535,2659,2499,2534">sumo</WORD>
<WORD coords="2770,2536,2838,2484,2535">15</WORD>
<WORD coords="2888,2538,2931,2477,2535">+</WORD>
<WORD coords="2981,2532,3015,2481,2532">7</WORD>
</LINE>
<LINE>
<WORD coords="659,2629,930,2554,2612">dtspues</WORD>
<WORD coords="978,2617,1067,2562,2616">los</WORD>
<WORD coords="1116,2623,1363,2582,2620">enteros</WORD>
<WORD coords="1408,2642,1449,2590,2636">y</WORD>
<WORD coords="1493,2630,1697,2574,2628">añado</WORD>
<WORD coords="1748,2630,1797,2577,2630">ía</WORD>
<WORD coords="1852,2633,2086,2576,2630">unidad</WORD>
<WORD coords="2135,2655,2253,2600,2639">que</WORD>
<WORD coords="2315,2659,2616,2588,2640">reservé,</WORD>
<WORD coords="2644,2663,2686,2606,2649">y</WORD>
<WORD coords="2958,2636,3016,2559,2604">&quot;5</WORD>
</LINE>
<LINE>
<WORD coords="658,2725,894,2665,2721">resulta</WORD>
<WORD coords="954,2725,1010,2667,2724">la</WORD>
<WORD coords="1068,2731,1245,2688,2728">suma</WORD>
<WORD coords="1294,2731,1449,2675,2730">total</WORD>
<WORD coords="1503,2734,1580,2682,2733">43</WORD>
<WORD coords="1638,2738,1767,2698,2736">mas</WORD>
<WORD coords="1812,2737,1852,2686,2737">4</WORD>
<WORD coords="1896,2744,2186,2681,2740">ochavos.</WORD>
<WORD coords="2773,2743,2800,2724,2743">L</WORD>
<WORD coords="2803,2742,2814,2738,2742">,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2766,2856,2841,2805,2855">43</WORD>
<WORD coords="2894,2863,3023,2798,2854">+.4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1000,2951,1847,2882,2947">MULTIPLICACION</WORD>
<WORD coords="1904,2954,2021,2895,2952">DE</WORD>
<WORD coords="2086,2969,2688,2899,2959">QUEBRADOS.</WORD>
<WORD coords="2984,2966,3019,2913,2966">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1008,3124,1191,3065,3122">Prob:</WORD>
<WORD coords="1251,3146,1292,3088,3139">y</WORD>
<WORD coords="1337,3131,1601,3072,3126">resoíuc.</WORD>
<WORD coords="1699,3131,1863,3076,3129">Para</WORD>
<WORD coords="1920,3155,2288,3077,3132">multiplicar</WORD>
<WORD coords="2334,3160,2664,3082,3135">quebrados</WORD>
<WORD coords="2699,3155,2715,3128,3147">,</WORD>
<WORD coords="2747,3139,2810,3103,3139">se</WORD>
<WORD coords="2869,3141,3026,3084,3140">mul-</WORD>
</LINE>
<LINE>
<WORD coords="659,3235,914,3167,3223">tiplican</WORD>
<WORD coords="968,3228,1058,3170,3227">los</WORD>
<WORD coords="1103,3234,1547,3175,3230">numeradores</WORD>
<WORD coords="1603,3236,1772,3192,3234">entre</WORD>
<WORD coords="1822,3220,1831,3207,3220">i</WORD>
<WORD coords="1853,3258,1941,3181,3245">íy</WORD>
<WORD coords="1996,3241,2125,3198,3240">e-te</WORD>
<WORD coords="2177,3259,2477,3187,3243">producto</WORD>
<WORD coords="2535,3244,2664,3210,3243">sera</WORD>
<WORD coords="2715,3249,2765,3195,3246">el</WORD>
<WORD coords="2812,3251,3030,3211,3249">nume-</WORD>
</LINE>
<LINE>
<WORD coords="658,3331,846,3273,3330">rador</WORD>
<WORD coords="878,3337,898,3296,3340">:</WORD>
<WORD coords="960,3335,1023,3298,3333">se</WORD>
<WORD coords="1096,3356,1481,3281,3335">multiplican</WORD>
<WORD coords="1549,3342,1820,3285,3340">también</WORD>
<WORD coords="1875,3343,1964,3289,3341">los</WORD>
<WORD coords="2023,3344,2161,3290,3342">denr</WORD>
<WORD coords="2188,3350,2541,3294,3348">minadores</WORD>
<WORD coords="2614,3372,2651,3318,3363">y</WORD>
<WORD coords="2714,3354,2839,3313,3352">e-te</WORD>
<WORD coords="2892,3370,3028,3318,3352">pro-</WORD>
</LINE>
<LINE>
<WORD coords="666,3443,862,3380,3440">ducto</WORD>
<WORD coords="916,3442,1052,3403,3441">sera</WORD>
<WORD coords="1106,3443,1160,3388,3442">el</WORD>
<WORD coords="1207,3449,1683,3388,3445">denominador.</WORD>
<WORD coords="1775,3472,2067,3393,3450">Ejemplo.</WORD>
<WORD coords="2167,3474,2647,3398,3454">Multipliqúese</WORD>
<WORD coords="2711,3456,2742,3410,3456">3</WORD>
<WORD coords="2802,3471,2909,3422,3455">por</WORD>
<WORD coords="2968,3465,3034,3410,3461">4;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2705,3561,2738,3515,3560">8</WORD>
<WORD coords="2966,3559,3035,3481,3529">5*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="657,3646,1092,3570,3629">ltfuitíplicaré</WORD>
<WORD coords="1139,3633,1171,3581,3636">3</WORD>
<WORD coords="1228,3653,1341,3596,3634">por</WORD>
<WORD coords="1384,3637,1425,3588,3638">4</WORD>
<WORD coords="1480,3636,1539,3579,3635">lo</WORD>
<WORD coords="1602,3656,1719,3600,3639">que</WORD>
<WORD coords="1770,3639,1846,3582,3639">da</WORD>
<WORD coords="1908,3639,1978,3590,3638">12</WORD>
<WORD coords="2038,3650,2156,3604,3640">que</WORD>
<WORD coords="2202,3641,2265,3606,3640">es</WORD>
<WORD coords="2312,3643,2363,3587,3641">el</WORD>
<WORD coords="2437,3645,2811,3591,3644">numerador</WORD>
<WORD coords="2846,3660,2862,3635,3660">,</WORD>
<WORD coords="2894,3665,2929,3611,3654">y</WORD>
<WORD coords="2972,3644,3030,3587,3642">el</WORD>
</LINE>
<LINE>
<WORD coords="660,3753,863,3683,3734">0&quot;?por</WORD>
<WORD coords="918,3734,953,3686,3740">5</WORD>
<WORD coords="1004,3755,1162,3700,3735">cuyo</WORD>
<WORD coords="1209,3755,1513,3686,3739">produrto</WORD>
<WORD coords="1549,3745,1632,3695,3744">40</WORD>
<WORD coords="1689,3768,1890,3708,3745">pongo</WORD>
<WORD coords="1955,3767,2064,3708,3745">por</WORD>
<WORD coords="2123,3753,2574,3692,3749">denominador</WORD>
<WORD coords="2619,3775,2656,3717,3775">y</WORD>
<WORD coords="2689,3775,2872,3707,3751">tengo</WORD>
<WORD coords="2906,3772,3027,3713,3754">que</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="888,3841,1071,3791,3837">4-8=</WORD>
<WORD coords="1124,3846,1190,3798,3845">12</WORD>
<WORD coords="1237,3846,1345,3803,3844">==:</WORD>
<WORD coords="1397,3848,1443,3799,3846">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="895,3946,930,3900,3948">5</WORD>
<WORD coords="1101,3951,1220,3878,3950">4(f</WORD>
<WORD coords="1383,3955,1459,3906,3955">tQ</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="912,4061,1178,3996,4060">Cuando</WORD>
<WORD coords="1222,4064,1289,4020,4062">se</WORD>
<WORD coords="1346,4066,1467,4005,4066">dan</WORD>
<WORD coords="1509,4071,1774,4007,4068">muchos</WORD>
<WORD coords="1818,4092,2167,4013,4073">quebrados</WORD>
<WORD coords="2215,4095,2361,4032,4074">para</WORD>
<WORD coords="2405,4095,2848,4014,4073">multiplicarse</WORD>
<WORD coords="2876,4091,2895,4057,4091">f</WORD>
<WORD coords="2923,4078,3015,4032,4075">se-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0080.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0081.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0081.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1356,618,1514,496,618">w</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="230,747,320,681,745">j^</WORD>
<WORD coords="349,761,551,682,739">Ttféjor</WORD>
<WORD coords="595,738,839,681,737">indicar</WORD>
<WORD coords="885,736,980,676,734">las</WORD>
<WORD coords="1043,733,1146,693,732">mu</WORD>
<WORD coords="1153,712,1173,676,712">r</WORD>
<WORD coords="1172,731,1603,671,729">t?oijcacioües</WORD>
<WORD coords="1648,732,1724,671,730">de</WORD>
<WORD coords="1781,729,1873,673,728">los</WORD>
<WORD coords="1932,728,2378,667,723">numeradores</WORD>
<WORD coords="2420,739,2454,685,734">y</WORD>
<WORD coords="2507,726,2611,652,719">íí-</WORD>
</LINE>
<LINE>
<WORD coords="236,851,314,792,848">ifc</WORD>
<WORD coords="328,847,683,791,844">minadores</WORD>
<WORD coords="713,860,729,833,858">,</WORD>
<WORD coords="791,856,931,807,842">para</WORD>
<WORD coords="989,840,1096,805,839">ver</WORD>
<WORD coords="1150,838,1198,785,837">si</WORD>
<WORD coords="1247,848,1365,782,836">hay</WORD>
<WORD coords="1420,838,1689,781,835">factores</WORD>
<WORD coords="1753,836,2048,800,835">comunes</WORD>
<WORD coords="2101,855,2135,801,851">y</WORD>
<WORD coords="2192,847,2614,772,826">suprimirlos.</WORD>
</LINE>
<LINE>
<WORD coords="241,958,363,898,958">Mú</WORD>
<WORD coords="396,967,410,942,960">,</WORD>
<WORD coords="441,953,489,894,951">si</WORD>
<WORD coords="546,950,610,914,949">se</WORD>
<WORD coords="665,950,760,914,949">me</WORD>
<WORD coords="809,969,950,892,948">pide</WORD>
<WORD coords="1004,946,1058,892,945">el</WORD>
<WORD coords="1115,963,1417,890,940">producto</WORD>
<WORD coords="1478,942,1551,890,942">de</WORD>
<WORD coords="1602,959,1976,888,941">multiplicar</WORD>
<WORD coords="2025,943,2192,900,940">entre</WORD>
<WORD coords="2256,933,2304,881,933">si</WORD>
<WORD coords="2342,936,2428,881,932">ios</WORD>
<WORD coords="2465,951,2609,898,933">que-</WORD>
</LINE>
<LINE>
<WORD coords="230,1065,473,997,1060">Uíadós</WORD>
<WORD coords="522,1055,555,1010,1055">2</WORD>
<WORD coords="591,1071,608,1044,1062">,</WORD>
<WORD coords="677,1054,711,1006,1054">3</WORD>
<WORD coords="747,1068,761,1042,1066">,</WORD>
<WORD coords="834,1065,910,1007,1060">2,</WORD>
<WORD coords="969,1056,1209,994,1053">tendría</WORD>
<WORD coords="1266,1053,1323,996,1051">el</WORD>
<WORD coords="1368,1051,1681,993,1049">resu.túdo</WORD>
<WORD coords="1715,1048,1748,1003,1051">2</WORD>
<WORD coords="1908,1046,1938,1000,1052">3</WORD>
<WORD coords="2001,1063,2069,1010,1063">X</WORD>
<WORD coords="2100,1046,2132,1001,1046">2</WORD>
<WORD coords="2161,1042,2263,1006,1042">=</WORD>
<WORD coords="2335,1064,2410,1003,1055">1,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="505,1166,583,1084,1153">1&quot;</WORD>
<WORD coords="675,1168,717,1121,1167">4</WORD>
<WORD coords="835,1166,892,1086,1166">7</WORD>
<WORD coords="1725,1172,2067,1081,1170">3~&gt;&lt;&quot;4~&gt;t</WORD>
<WORD coords="2102,1153,2132,1103,1157">7</WORD>
<WORD coords="2334,1156,2367,1104,1156">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="247,1282,512,1219,1279">cfesrues</WORD>
<WORD coords="581,1275,659,1219,1274">de</WORD>
<WORD coords="731,1274,921,1216,1271">haber</WORD>
<WORD coords="976,1272,1326,1211,1267">suDrímido</WORD>
<WORD coords="1378,1266,1433,1211,1265">el</WORD>
<WORD coords="1478,1264,1509,1216,1265">3</WORD>
<WORD coords="1573,1265,1649,1209,1264">de</WORD>
<WORD coords="1702,1264,1940,1226,1262">encuna</WORD>
<WORD coords="2003,1260,2116,1225,1260">con</WORD>
<WORD coords="2176,1262,2231,1207,1261">ei</WORD>
<WORD coords="2288,1260,2320,1212,1263">3</WORD>
<WORD coords="2382,1259,2457,1206,1258">de</WORD>
<WORD coords="2508,1258,2616,1203,1258">de-</WORD>
</LINE>
<LINE>
<WORD coords="240,1408,388,1309,1385">bajo</WORD>
<WORD coords="427,1400,443,1370,1400">,</WORD>
<WORD coords="488,1401,525,1346,1393">y</WORD>
<WORD coords="574,1380,627,1326,1380">el</WORD>
<WORD coords="690,1380,725,1333,1383">2</WORD>
<WORD coords="783,1396,850,1327,1396">X</WORD>
<WORD coords="885,1377,919,1331,1377">2</WORD>
<WORD coords="962,1377,1074,1341,1374">con</WORD>
<WORD coords="1124,1375,1195,1338,1374">en</WORD>
<WORD coords="1246,1374,1300,1320,1373">ci</WORD>
<WORD coords="1356,1374,1396,1323,1374">4</WORD>
<WORD coords="1451,1372,1527,1318,1371">de</WORD>
<WORD coords="1575,1392,1820,1317,1370">debajo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="500,1488,987,1432,1484">Demostración.</WORD>
<WORD coords="1090,1497,1486,1425,1478">Multiplicar</WORD>
<WORD coords="1560,1478,1623,1443,1477">es</WORD>
<WORD coords="1696,1477,1894,1436,1476">tomar</WORD>
<WORD coords="1947,1477,2026,1441,1476">un</WORD>
<WORD coords="2087,1477,2346,1439,1474">numero</WORD>
<WORD coords="2417,1481,2616,1427,1475">tantas</WORD>
</LINE>
<LINE>
<WORD coords="249,1597,432,1557,1595">Teces</WORD>
<WORD coords="488,1592,666,1555,1590">como</WORD>
<WORD coords="725,1591,1031,1532,1587">unidades</WORD>
<WORD coords="1094,1588,1258,1532,1585">tiene</WORD>
<WORD coords="1314,1585,1368,1531,1584">el</WORD>
<WORD coords="1421,1603,1928,1529,1584">multiplicador:</WORD>
<WORD coords="1974,1585,2039,1548,1584">es</WORD>
<WORD coords="2096,1584,2271,1527,1583">decir</WORD>
<WORD coords="2304,1600,2321,1572,1598">,</WORD>
<WORD coords="2376,1597,2493,1547,1586">que</WORD>
<WORD coords="2564,1585,2622,1530,1584">si</WORD>
</LINE>
<LINE>
<WORD coords="253,1704,308,1646,1702">el</WORD>
<WORD coords="358,1718,820,1640,1696">multiplicador</WORD>
<WORD coords="870,1695,1034,1640,1694">tiene</WORD>
<WORD coords="1096,1695,1213,1657,1693">una</WORD>
<WORD coords="1265,1694,1497,1636,1691">unidad</WORD>
<WORD coords="1532,1705,1548,1679,1700">,</WORD>
<WORD coords="1603,1690,1665,1655,1689">se</WORD>
<WORD coords="1738,1690,1973,1634,1688">tornará</WORD>
<WORD coords="2036,1688,2086,1634,1688">al</WORD>
<WORD coords="2147,1706,2618,1635,1694">multiplicando</WORD>
</LINE>
<LINE>
<WORD coords="245,1813,373,1770,1810">«ma</WORD>
<WORD coords="432,1806,540,1771,1806">vez</WORD>
<WORD coords="576,1819,708,1770,1804">;-se</WORD>
<WORD coords="766,1806,971,1748,1803">media</WORD>
<WORD coords="1033,1813,1299,1745,1800">unidad,</WORD>
<WORD coords="1378,1798,1583,1743,1796">media</WORD>
<WORD coords="1643,1799,1761,1761,1797">vez</WORD>
<WORD coords="1810,1796,1845,1742,1798">ó</WORD>
<WORD coords="1907,1797,1979,1761,1796">su</WORD>
<WORD coords="2040,1796,2232,1740,1795">mitad</WORD>
<WORD coords="2266,1814,2280,1786,1807">,</WORD>
<WORD coords="2317,1801,2403,1744,1800">&amp;c</WORD>
<WORD coords="2441,1817,2454,1771,1811">;</WORD>
<WORD coords="2493,1806,2620,1752,1804">lue-</WORD>
</LINE>
<LINE>
<WORD coords="250,1937,330,1878,1913">go</WORD>
<WORD coords="387,1914,461,1876,1913">en</WORD>
<WORD coords="507,1913,562,1861,1912">ei</WORD>
<WORD coords="630,1931,860,1855,1910">primer</WORD>
<WORD coords="919,1930,1191,1852,1907">ejemplo</WORD>
<WORD coords="1240,1906,1292,1851,1906">si</WORD>
<WORD coords="1350,1906,1440,1853,1905">se~</WORD>
<WORD coords="1461,1905,1622,1848,1904">hade</WORD>
<WORD coords="1701,1922,2086,1848,1902">multiplicar</WORD>
<WORD coords="2142,1901,2174,1854,1904">3</WORD>
<WORD coords="2251,1927,2361,1870,1906">por</WORD>
<WORD coords="2411,1925,2494,1861,1916">4,</WORD>
<WORD coords="2552,1916,2618,1880,1915">se</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2147,2008,2179,1962,2008">8</WORD>
<WORD coords="2410,2015,2465,1938,2015">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="250,2103,403,2046,2101">debe</WORD>
<WORD coords="433,2101,638,2056,2098">tomar</WORD>
<WORD coords="670,2098,724,2043,2097">al</WORD>
<WORD coords="753,2097,785,2047,2096">3</WORD>
<WORD coords="815,2096,1064,2053,2095">octavos</WORD>
<WORD coords="1098,2095,1136,2045,2095">4</WORD>
<WORD coords="1168,2113,1415,2038,2092">quintos</WORD>
<WORD coords="1449,2093,1525,2038,2093">de</WORD>
<WORD coords="1557,2093,1667,2056,2092">vez</WORD>
<WORD coords="1703,2109,1721,2079,2102">,</WORD>
<WORD coords="1756,2091,1791,2035,2093">ó</WORD>
<WORD coords="1827,2090,1884,2036,2090">lo</WORD>
<WORD coords="1918,2109,2035,2054,2092">que</WORD>
<WORD coords="2065,2092,2129,2056,2091">es</WORD>
<WORD coords="2166,2090,2221,2038,2089">lo</WORD>
<WORD coords="2252,2100,2475,2041,2098">mismo</WORD>
<WORD coords="2503,2114,2516,2092,2111">,</WORD>
<WORD coords="2556,2109,2621,2070,2105">se</WORD>
</LINE>
<LINE>
<WORD coords="248,2211,304,2151,2210">le</WORD>
<WORD coords="347,2208,509,2150,2206">&quot;hade</WORD>
<WORD coords="546,2207,743,2166,2205">tomar</WORD>
<WORD coords="775,2205,829,2150,2204">el</WORD>
<WORD coords="863,2221,1075,2148,2201">quinto</WORD>
<WORD coords="1111,2202,1147,2146,2203">ó</WORD>
<WORD coords="1182,2200,1240,2148,2200">la</WORD>
<WORD coords="1275,2221,1483,2146,2200">quinta</WORD>
<WORD coords="1518,2221,1683,2157,2199">parte</WORD>
<WORD coords="1719,2215,1734,2190,2215">,</WORD>
<WORD coords="1763,2219,1801,2162,2212">y</WORD>
<WORD coords="1835,2200,1961,2159,2198">este</WORD>
<WORD coords="1997,2219,2211,2146,2198">quinto</WORD>
<WORD coords="2249,2222,2625,2149,2206">multiplicar</WORD>
</LINE>
<LINE>
<WORD coords="251,2335,363,2276,2313">por</WORD>
<WORD coords="394,2314,451,2270,2313">4.</WORD>
<WORD coords="526,2312,723,2256,2310">Como</WORD>
<WORD coords="755,2311,954,2267,2309">tomar</WORD>
<WORD coords="999,2309,1052,2254,2308">el</WORD>
<WORD coords="1101,2327,1314,2250,2308">quinto</WORD>
<WORD coords="1362,2307,1436,2253,2306">de</WORD>
<WORD coords="1464,2309,1543,2269,2308">un</WORD>
<WORD coords="1577,2309,1834,2272,2307">numero</WORD>
<WORD coords="1866,2308,1928,2272,2307">es</WORD>
<WORD coords="1961,2328,2088,2256,2311">(75,</WORD>
<WORD coords="2129,2306,2181,2260,2307">3.</WORD>
<WORD coords="2213,2288,2245,2251,2288">c</WORD>
<WORD coords="2279,2324,2302,2253,2317">)</WORD>
<WORD coords="2329,2319,2620,2246,2315">dividirle</WORD>
</LINE>
<LINE>
<WORD coords="246,2441,356,2381,2418">por</WORD>
<WORD coords="389,2435,447,2372,2429">5,</WORD>
<WORD coords="478,2432,840,2361,2416">partiremos</WORD>
<WORD coords="870,2416,925,2362,2415">el</WORD>
<WORD coords="955,2413,987,2365,2414">3</WORD>
<WORD coords="1022,2416,1291,2357,2413">ochavos</WORD>
<WORD coords="1323,2435,1430,2378,2414">por</WORD>
<WORD coords="1462,2414,1496,2366,2415">5</WORD>
<WORD coords="1532,2426,1625,2359,2411">,1o</WORD>
<WORD coords="1673,2432,1791,2378,2414">que</WORD>
<WORD coords="1820,2413,1883,2377,2412">se</WORD>
<WORD coords="1913,2435,2151,2359,2412">ejecuta</WORD>
<WORD coords="2186,2439,2369,2361,2424">(108)</WORD>
<WORD coords="2412,2425,2620,2368,2423">multi-</WORD>
</LINE>
<LINE>
<WORD coords="246,2549,532,2468,2527">plicando</WORD>
<WORD coords="562,2527,632,2489,2525">su</WORD>
<WORD coords="662,2526,1109,2467,2522">denominador</WORD>
<WORD coords="1147,2542,1253,2479,2521">por</WORD>
<WORD coords="1287,2537,1343,2473,2531">5,</WORD>
<WORD coords="1364,2540,1396,2485,2531">y</WORD>
<WORD coords="1435,2521,1570,2469,2520">será</WORD>
<WORD coords="1601,2521,1671,2483,2520">su</WORD>
<WORD coords="1713,2539,1927,2465,2519">quintó</WORD>
<WORD coords="1959,2539,2124,2464,2518">igual</WORD>
<WORD coords="2152,2519,2177,2480,2519">¡*</WORD>
<WORD coords="2243,2523,2273,2472,2522">3</WORD>
<WORD coords="2311,2521,2322,2490,2521">:</WORD>
<WORD coords="2362,2541,2399,2489,2537">y</WORD>
<WORD coords="2443,2533,2628,2490,2530">como</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="252,2714,385,2656,2713">&apos;eéié</WORD>
<WORD coords="422,2733,639,2657,2713">quintó</WORD>
<WORD coords="699,2714,764,2668,2714">sé</WORD>
<WORD coords="813,2716,966,2646,2714">deté</WORD>
<WORD coords="1012,2712,1214,2667,2711">tomar</WORD>
<WORD coords="1268,2712,1308,2654,2712">4</WORD>
<WORD coords="1331,2711,1525,2652,2710">Veces</WORD>
<WORD coords="1557,2724,1570,2698,2718">,</WORD>
<WORD coords="1603,2711,1656,2655,2709">le</WORD>
<WORD coords="1707,2723,2262,2655,2710">multiplicáremos</WORD>
<WORD coords="2300,2732,2401,2680,2711">por</WORD>
<WORD coords="2437,2715,2475,2666,2715">4</WORD>
<WORD coords="2510,2733,2523,2704,2725">,</WORD>
<WORD coords="2562,2718,2623,2663,2715">lo</WORD>
</LINE>
<LINE>
<WORD coords="258,2838,379,2782,2820">que</WORD>
<WORD coords="443,2823,504,2786,2821">se</WORD>
<WORD coords="540,2840,835,2766,2820">consigue</WORD>
<WORD coords="876,2833,1348,2761,2817">multiplicando</WORD>
<WORD coords="1381,2817,1450,2782,2816">su</WORD>
<WORD coords="1500,2819,1870,2761,2817">numerador</WORD>
<WORD coords="1905,2842,2085,2764,2828">(106)</WORD>
<WORD coords="2119,2840,2160,2782,2830">y</WORD>
<WORD coords="2187,2820,2249,2782,2820">se</WORD>
<WORD coords="2284,2825,2500,2768,2821">ténüVa</WORD>
<WORD coords="2563,2825,2624,2764,2825">el</WORD>
<WORD coords="2652,2789,2658,2768,2789">:</WORD>
</LINE>
<LINE>
<WORD coords="259,2931,580,2866,2927">íésultado</WORD>
<WORD coords="639,2945,867,2870,2926">pedido</WORD>
<WORD coords="931,2921,961,2873,2923">3</WORD>
<WORD coords="996,2936,1153,2878,2931">^4,</WORD>
<WORD coords="1203,2927,1279,2873,2924">L,</WORD>
<WORD coords="1335,2939,1398,2870,2933">Q</WORD>
<WORD coords="1462,2927,1545,2870,2924">D.</WORD>
<WORD coords="1606,2925,1682,2870,2925">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="518,3118,1028,3059,3116">Observaciones,</WORD>
<WORD coords="1132,3117,1180,3070,3116">1.</WORD>
<WORD coords="1214,3097,1254,3068,3106">*</WORD>
<WORD coords="1361,3117,1427,3062,3116">Si</WORD>
<WORD coords="1475,3115,1530,3060,3115">el</WORD>
<WORD coords="1568,3133,1866,3056,3111">quebrado</WORD>
<WORD coords="1922,3113,1988,3074,3113">se</WORD>
<WORD coords="2038,3133,2371,3058,3112">multiplica</WORD>
<WORD coords="2418,3138,2533,3061,3127">froh</WORD>
<WORD coords="2566,3121,2624,3063,3120">la</WORD>
</LINE>
<LINE>
<WORD coords="266,3237,541,3168,3223">unidad,</WORD>
<WORD coords="590,3223,643,3170,3223">el</WORD>
<WORD coords="688,3245,986,3167,3222">producto</WORD>
<WORD coords="1039,3223,1180,3187,3221">sera</WORD>
<WORD coords="1235,3222,1291,3167,3222">el</WORD>
<WORD coords="1345,3222,1552,3185,3221">mismo</WORD>
<WORD coords="1611,3245,1965,3165,3220">quebrado;</WORD>
<WORD coords="2011,3220,2064,3173,3220">2.</WORD>
<WORD coords="2198,3221,2264,3166,3220">St</WORD>
<WORD coords="2297,3223,2360,3187,3221">se</WORD>
<WORD coords="2419,3227,2614,3172,3224">mnlti-</WORD>
</LINE>
<LINE>
<WORD coords="263,3353,434,3273,3332">frica</WORD>
<WORD coords="469,3350,589,3285,3328">por</WORD>
<WORD coords="611,3330,715,3285,3329">Un</WORD>
<WORD coords="778,3330,1075,3274,3329">aliebrado</WORD>
<WORD coords="1119,3350,1382,3276,3328">propio,</WORD>
<WORD coords="1445,3329,1602,3292,3327">como</WORD>
<WORD coords="1652,3327,1722,3291,3327">en</WORD>
<WORD coords="1777,3328,1835,3273,3327">el</WORD>
<WORD coords="1885,3346,2132,3272,3325">ejemplo</WORD>
<WORD coords="2179,3345,2495,3281,3329">ante&gt;i&apos;cr\</WORD>
<WORD coords="2574,3335,2629,3281,3334">el</WORD>
</LINE>
<LINE>
<WORD coords="261,3459,559,3381,3435">producto</WORD>
<WORD coords="593,3440,731,3398,3436">sera</WORD>
<WORD coords="762,3438,965,3399,3436">menor</WORD>
<WORD coords="1011,3460,1121,3400,3436">que</WORD>
<WORD coords="1167,3436,1220,3382,3435">el</WORD>
<WORD coords="1251,3457,1697,3380,3434">multiplicando</WORD>
<WORD coords="1720,3438,1738,3399,3438">;</WORD>
<WORD coords="1772,3452,2003,3393,3433">porqué</WORD>
<WORD coords="2055,3434,2125,3398,3433">su</WORD>
<WORD coords="2158,3440,2456,3385,3435">numerad</WORD>
<WORD coords="2505,3435,2529,3404,3435">r</WORD>
<WORD coords="2559,3441,2622,3405,3440">se</WORD>
</LINE>
<LINE>
<WORD coords="273,3560,617,3487,3541">multiplica</WORD>
<WORD coords="656,3561,761,3506,3542">por</WORD>
<WORD coords="792,3545,869,3508,3544">un</WORD>
<WORD coords="898,3545,1158,3507,3543">numero</WORD>
<WORD coords="1190,3542,1405,3505,3540">menor</WORD>
<WORD coords="1439,3559,1785,3483,3539">queaqml,</WORD>
<WORD coords="1821,3553,1927,3504,3538">por</WORD>
<WORD coords="1962,3555,2145,3484,3539">quien</WORD>
<WORD coords="2181,3542,2243,3506,3540">se</WORD>
<WORD coords="2281,3560,2620,3489,3542">multiplica</WORD>
</LINE>
<LINE>
<WORD coords="275,3651,350,3613,3650">bu</WORD>
<WORD coords="387,3651,839,3595,3648">denominador</WORD>
<WORD coords="878,3657,893,3618,3656">;</WORD>
<WORD coords="951,3656,1006,3600,3651">3.</WORD>
<WORD coords="1034,3636,1067,3604,3642">&amp;</WORD>
<WORD coords="1095,3649,1166,3589,3649">SÍ</WORD>
<WORD coords="1202,3651,1267,3612,3650">se</WORD>
<WORD coords="1312,3651,1645,3591,3643">multiplica</WORD>
<WORD coords="1681,3666,1797,3601,3643">por</WORD>
<WORD coords="1831,3646,1908,3607,3645">un</WORD>
<WORD coords="1942,3668,2249,3589,3645">quebrado</WORD>
<WORD coords="2299,3669,2596,3593,3647">impropio</WORD>
<WORD coords="2603,3660,2620,3639,3660">%</WORD>
</LINE>
<LINE>
<WORD coords="275,3757,332,3702,3756">ti</WORD>
<WORD coords="368,3776,663,3701,3756">producto</WORD>
<WORD coords="709,3758,851,3719,3756">sera</WORD>
<WORD coords="901,3776,1113,3718,3754">mayor</WORD>
<WORD coords="1145,3779,1258,3717,3754">que</WORD>
<WORD coords="1313,3754,1369,3698,3753">ei</WORD>
<WORD coords="1404,3772,1859,3695,3750">multiplicando</WORD>
<WORD coords="1890,3764,1905,3739,3764">,</WORD>
<WORD coords="1938,3769,2173,3713,3749">porque</WORD>
<WORD coords="2207,3756,2277,3719,3754">su</WORD>
<WORD coords="2333,3757,2409,3723,3756">nu</WORD>
<WORD coords="2443,3755,2615,3720,3754">oerr-</WORD>
</LINE>
<LINE>
<WORD coords="267,3868,381,3804,3866">Éar</WORD>
<WORD coords="435,3865,498,3829,3864">se</WORD>
<WORD coords="546,3880,889,3805,3863">multiplica</WORD>
<WORD coords="940,3880,1046,3826,3861">por</WORD>
<WORD coords="1077,3862,1155,3826,3861">un</WORD>
<WORD coords="1187,3862,1447,3821,3859">numero</WORD>
<WORD coords="1487,3879,1700,3821,3858">mayor</WORD>
<WORD coords="1741,3878,1858,3820,3857">que</WORD>
<WORD coords="1905,3876,2087,3803,3857">aquel</WORD>
<WORD coords="2115,3871,2132,3846,3871">f</WORD>
<WORD coords="2170,3878,2280,3822,3859">por</WORD>
<WORD coords="2314,3879,2494,3806,3859">quien</WORD>
<WORD coords="2544,3862,2608,3825,3860">se</WORD>
</LINE>
<LINE>
<WORD coords="266,3989,619,3911,3973">¡Multiplica</WORD>
<WORD coords="669,3974,740,3938,3973">su</WORD>
<WORD coords="794,3972,1276,3910,3969">denominador.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="588,4084,784,4024,4082">Ftvbr</WORD>
<WORD coords="821,4102,1159,4033,4079">yA*MuVi</WORD>
<WORD coords="1195,4076,1223,4033,4076">t</WORD>
<WORD coords="1246,4079,1361,4039,4078">ara</WORD>
<WORD coords="1419,4099,1788,4017,4077">multiplicar</WORD>
<WORD coords="1814,4081,1898,4038,4080">un</WORD>
<WORD coords="1943,4080,2147,4031,4076">entero</WORD>
<WORD coords="2195,4097,2318,4028,4075">por</WORD>
<WORD coords="2370,4072,2449,4031,4072">un</WORD>
<WORD coords="2480,4097,2614,4035,4074">que-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0081.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0082.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0082.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1802,583,1998,466,574">72.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="696,652,880,593,650">bracio</WORD>
<WORD coords="929,655,959,615,655">o</WORD>
<WORD coords="1005,655,1087,616,655">un</WORD>
<WORD coords="1135,680,1435,603,659">quebrado</WORD>
<WORD coords="1486,686,1607,618,665">por</WORD>
<WORD coords="1648,672,1729,631,671">un</WORD>
<WORD coords="1788,697,2031,632,677">entero,</WORD>
<WORD coords="2081,686,2145,647,685">se</WORD>
<WORD coords="2181,707,2416,636,691">pondrá</WORD>
<WORD coords="2462,698,2519,642,697">eí</WORD>
<WORD coords="2568,706,2780,656,703">entero</WORD>
<WORD coords="2829,708,2898,671,707">en</WORD>
<WORD coords="2931,713,2968,655,713">f</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="839,760,915,705,759">ÓQ</WORD>
<WORD coords="962,780,1237,708,764">qUfcbrad</WORD>
<WORD coords="1246,767,1280,733,788">°</WORD>
<WORD coords="1337,789,1412,735,789">P°</WORD>
<WORD coords="1419,775,1603,719,773">n5ehd</WORD>
<WORD coords="1612,776,1643,748,776">-</WORD>
<WORD coords="1654,780,1704,725,779">le</WORD>
<WORD coords="1755,783,1778,734,783">1</WORD>
<WORD coords="2001,800,2455,734,794">denominador</WORD>
<WORD coords="2490,818,2504,791,818">,</WORD>
<WORD coords="2537,825,2577,771,821">y</WORD>
<WORD coords="2644,818,2912,759,814">ouedara</WORD>
<WORD coords="2961,820,3058,782,819">re-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="684,865,915,823,863">cuc.da</WORD>
<WORD coords="979,867,1030,814,866">ia</WORD>
<WORD coords="1090,888,1419,819,872">operación</WORD>
<WORD coords="1483,879,1512,826,886">á</WORD>
<WORD coords="1571,901,1949,832,888">multiplicar</WORD>
<WORD coords="2001,895,2078,860,895">un</WORD>
<WORD coords="2140,918,2458,846,903">quebrado</WORD>
<WORD coords="2519,929,2627,876,912">por</WORD>
<WORD coords="2694,937,2874,876,917">otro,</WORD>
<WORD coords="2931,943,3054,888,926">que</WORD>
</LINE>
<LINE>
<WORD coords="682,991,761,932,971">ya</WORD>
<WORD coords="820,982,1128,919,973">s.b.mos;</WORD>
<WORD coords="1223,980,1256,927,992">ó</WORD>
<WORD coords="1295,995,1310,970,1000">,</WORD>
<WORD coords="1357,983,1413,930,981">lo</WORD>
<WORD coords="1472,1004,1588,950,989">que</WORD>
<WORD coords="1644,994,1707,956,992">es</WORD>
<WORD coords="1756,1019,1957,943,996">mejor</WORD>
<WORD coords="1988,1012,2004,990,1008">,</WORD>
<WORD coords="2034,1004,2098,968,1004">«e</WORD>
<WORD coords="2144,1033,2555,953,1012">multiplicara</WORD>
<WORD coords="2595,1020,2651,965,1019">el</WORD>
<WORD coords="2704,1029,2906,983,1026">entero</WORD>
<WORD coords="2936,1048,3055,991,1037">por</WORD>
</LINE>
<LINE>
<WORD coords="682,1079,739,1023,1077">el</WORD>
<WORD coords="780,1083,1142,1028,1079">numerador</WORD>
<WORD coords="1188,1086,1283,1033,1086">del</WORD>
<WORD coords="1321,1112,1618,1036,1091">quebrado</WORD>
<WORD coords="1680,1119,1719,1062,1114">y</WORD>
<WORD coords="1763,1101,1827,1067,1101">se</WORD>
<WORD coords="1872,1104,1924,1050,1103">le</WORD>
<WORD coords="1958,1126,2198,1054,1106">pondrá</WORD>
<WORD coords="2256,1114,2311,1065,1113">el</WORD>
<WORD coords="2340,1122,2545,1067,1118">mismo</WORD>
<WORD coords="2591,1142,3048,1070,1133">denominador*</WORD>
</LINE>
<LINE>
<WORD coords="677,1204,912,1146,1186">jorque</WORD>
<WORD coords="958,1189,1014,1135,1189">el</WORD>
<WORD coords="1068,1199,1524,1137,1194">denominador</WORD>
<WORD coords="1584,1228,2016,1152,1207">muítipUcado</WORD>
<WORD coords="2078,1230,2187,1180,1216">por</WORD>
<WORD coords="2252,1220,2274,1172,1220">1</WORD>
<WORD coords="2329,1227,2484,1168,1224">debe</WORD>
<WORD coords="2533,1232,2630,1195,1231">ser</WORD>
<WORD coords="2690,1236,2743,1183,1236">el</WORD>
<WORD coords="2794,1251,3051,1129,1241">mismo!</WORD>
</LINE>
<LINE>
<WORD coords="675,1292,797,1236,1291">Por</WORD>
<WORD coords="857,1320,1102,1239,1295">ejemplo</WORD>
<WORD coords="1136,1315,1153,1288,1315">,</WORD>
<WORD coords="1204,1300,1245,1251,1308">4</WORD>
<WORD coords="1290,1304,1467,1266,1302">varas</WORD>
<WORD coords="1527,1331,1955,1254,1311">multiplicado</WORD>
<WORD coords="2003,1338,2113,1283,1319">por</WORD>
<WORD coords="2162,1322,2197,1276,1322">2</WORD>
<WORD coords="2243,1327,2307,1290,1326">es</WORD>
<WORD coords="2352,1352,2519,1274,1331">igual</WORD>
<WORD coords="2578,1336,2605,1286,1336">á</WORD>
<WORD coords="2640,1340,2681,1292,1340">4</WORD>
<WORD coords="2715,1343,2809,1286,1343">X2</WORD>
<WORD coords="2840,1342,2946,1304,1342">=</WORD>
<WORD coords="2980,1348,3044,1231,1299">8*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="762,1487,899,1436,1490">122.</WORD>
<WORD coords="992,1491,1247,1431,1488">Escolto.</WORD>
<WORD coords="1296,1493,1369,1437,1492">Ei</WORD>
<WORD coords="1430,1514,1740,1441,1497">problema</WORD>
<WORD coords="1791,1507,1913,1448,1504">de:</WORD>
<WORD coords="1967,1533,2334,1454,1511">multiplicar</WORD>
<WORD coords="2390,1519,2473,1479,1517">un</WORD>
<WORD coords="2525,1531,2798,1397,1527">entero*</WORD>
<WORD coords="2774,1552,2900,1484,1533">por</WORD>
<WORD coords="2948,1537,3032,1496,1535">un</WORD>
</LINE>
<LINE>
<WORD coords="667,1593,915,1551,1589">numero</WORD>
<WORD coords="972,1613,1199,1539,1594">misto,</WORD>
<WORD coords="1259,1598,1324,1563,1597">se</WORD>
<WORD coords="1372,1604,1600,1546,1601">reduce</WORD>
<WORD coords="1674,1607,1729,1553,1606">al</WORD>
<WORD coords="1780,1609,1857,1554,1609">de</WORD>
<WORD coords="1921,1631,2297,1561,1615">multiplicar</WORD>
<WORD coords="2367,1624,2446,1588,1624">un</WORD>
<WORD coords="2522,1632,2735,1586,1630">entero</WORD>
<WORD coords="2787,1653,2897,1598,1633">por</WORD>
<WORD coords="2946,1642,3029,1602,1641">un</WORD>
</LINE>
<LINE>
<WORD coords="663,1756,980,1642,1706">quebrado</WORD>
<WORD coords="1007,1720,1026,1671,1720">;</WORD>
<WORD coords="1063,1712,1208,1664,1704">pues</WORD>
<WORD coords="1258,1735,1308,1624,1707">ej</WORD>
<WORD coords="1360,1711,1620,1671,1709">numero</WORD>
<WORD coords="1676,1717,1861,1658,1714">misto</WORD>
<WORD coords="1918,1720,1982,1684,1719">se</WORD>
<WORD coords="2046,1740,2244,1672,1725">puede</WORD>
<WORD coords="2302,1734,2549,1679,1731">reducir</WORD>
<WORD coords="2597,1737,2626,1685,1737">á</WORD>
<WORD coords="2675,1760,3025,1685,1743">quebrado;</WORD>
</LINE>
<LINE>
<WORD coords="660,1801,745,1744,1801">asi</WORD>
<WORD coords="808,1802,847,1755,1811">4</WORD>
<WORD coords="909,1826,1335,1752,1806">ifcultip-icado</WORD>
<WORD coords="1389,1833,1498,1778,1815">por</WORD>
<WORD coords="1551,1844,1760,1764,1822">5^-3</WORD>
<WORD coords="1808,1824,1876,1787,1824">es</WORD>
<WORD coords="1921,1847,2090,1772,1828">igual</WORD>
<WORD coords="2149,1834,2180,1778,1834">á</WORD>
<WORD coords="2238,1835,2275,1784,1835">4</WORD>
<WORD coords="2310,1857,2373,1791,1857">X</WORD>
<WORD coords="2413,1837,2512,1788,1833">43-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1710,1926,1769,1855,1911">*8</WORD>
<WORD coords="2428,1944,2463,1898,1944">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="737,1993,874,1942,1996">123.</WORD>
<WORD coords="932,1992,962,1939,1992">P</WORD>
<WORD coords="987,1993,999,1938,2016">!</WORD>
<WORD coords="1040,2001,1352,1942,1996">problema</WORD>
<WORD coords="1388,2002,1464,1947,2001">de</WORD>
<WORD coords="1499,2007,1515,1970,2011">:</WORD>
<WORD coords="1551,2032,1919,1953,2009">multiplicar</WORD>
<WORD coords="1952,2019,2035,1979,2017">un</WORD>
<WORD coords="2063,2025,2308,1982,2021">numero</WORD>
<WORD coords="2343,2028,2516,1973,2026">misto</WORD>
<WORD coords="2551,2053,2673,1983,2030">por</WORD>
<WORD coords="2706,2034,2837,1986,2031">otro</WORD>
<WORD coords="2868,2035,3012,1980,2033">mis.</WORD>
</LINE>
<LINE>
<WORD coords="655,2096,710,2051,2095">to</WORD>
<WORD coords="745,2098,809,2062,2097">se</WORD>
<WORD coords="845,2099,1058,2045,2097">reduce</WORD>
<WORD coords="1091,2101,1143,2048,2100">al</WORD>
<WORD coords="1179,2104,1254,2050,2103">de</WORD>
<WORD coords="1289,2132,1665,2053,2110">multiplicar</WORD>
<WORD coords="1708,2118,1789,2080,2118">un</WORD>
<WORD coords="1824,2139,2141,2066,2122">quebrado</WORD>
<WORD coords="2195,2128,2303,2092,2127">ñor</WORD>
<WORD coords="2329,2133,2466,2089,2132">«tro</WORD>
<WORD coords="2490,2152,2513,2100,2146">;</WORD>
<WORD coords="2550,2140,2604,2095,2138">r.</WORD>
<WORD coords="2666,2170,2940,2087,2155">g.Sf</WORD>
<WORD coords="2971,2149,3010,2098,2149">2</WORD>
</LINE>
<LINE>
<WORD coords="648,2226,1082,2150,2205">Kíürtipíicado</WORD>
<WORD coords="1138,2228,1247,2173,2209">por</WORD>
<WORD coords="1298,2213,1339,2163,2214">4</WORD>
<WORD coords="1370,2238,1448,2159,2238">~f</WORD>
<WORD coords="1488,2216,1522,2169,2216">2</WORD>
<WORD coords="1584,2222,1649,2185,2221">es</WORD>
<WORD coords="1709,2245,1876,2167,2224">igual</WORD>
<WORD coords="1932,2226,1962,2174,2226">á</WORD>
<WORD coords="2014,2231,2084,2179,2230">17</WORD>
<WORD coords="2131,2245,2212,2177,2232">&gt;¿</WORD>
<WORD coords="2286,2237,2377,2186,2236">14.</WORD>
<WORD coords="2967,2261,3010,2203,2261">^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1483,2324,1519,2272,2329">3</WORD>
<WORD coords="2036,2338,2073,2290,2338">5</WORD>
<WORD coords="2306,2341,2340,2294,2341">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1061,2461,1718,2392,2455">SUSTRACCION</WORD>
<WORD coords="1783,2465,1898,2405,2464">DE</WORD>
<WORD coords="1988,2483,2592,2410,2474">QUEBRADOS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="892,2630,1099,2570,2627">ProbL</WORD>
<WORD coords="1161,2649,1200,2591,2648">y</WORD>
<WORD coords="1247,2638,1515,2577,2631">resoluc.</WORD>
<WORD coords="1617,2640,1785,2581,2637">Para</WORD>
<WORD coords="1845,2645,2047,2598,2641">restar</WORD>
<WORD coords="2105,2670,2443,2592,2650">quebrados</WORD>
<WORD coords="2503,2657,2567,2621,2656">se</WORD>
<WORD coords="2642,2665,2910,2605,2661">reducen</WORD>
<WORD coords="2964,2673,2997,2614,2673">*</WORD>
</LINE>
<LINE>
<WORD coords="631,2753,1100,2671,2732">homogéneos,</WORD>
<WORD coords="1143,2736,1279,2682,2736">sino</WORD>
<WORD coords="1342,2740,1400,2686,2739">lo</WORD>
<WORD coords="1444,2743,1603,2705,2740">son:</WORD>
<WORD coords="1664,2765,1934,2690,2745">después</WORD>
<WORD coords="1993,2751,2056,2716,2750">se</WORD>
<WORD coords="2137,2758,2298,2713,2755">resta</WORD>
<WORD coords="2360,2760,2414,2705,2759">el</WORD>
<WORD coords="2469,2770,2845,2712,2765">numerador</WORD>
<WORD coords="2890,2773,2993,2718,2772">del</WORD>
</LINE>
<LINE>
<WORD coords="632,2837,705,2799,2836">su</WORD>
<WORD coords="747,2840,1001,2785,2837">tratndo</WORD>
<WORD coords="1074,2842,1174,2787,2840">del</WORD>
<WORD coords="1221,2847,1595,2792,2845">numerador</WORD>
<WORD coords="1664,2851,1763,2798,2850">del</WORD>
<WORD coords="1828,2858,2164,2799,2856">minuendo</WORD>
<WORD coords="2219,2879,2257,2827,2871">y</WORD>
<WORD coords="2318,2864,2344,2814,2864">á</WORD>
<WORD coords="2409,2866,2463,2811,2865">la</WORD>
<WORD coords="2524,2875,2862,2814,2871">diferencia</WORD>
<WORD coords="2923,2881,2988,2840,2878">se</WORD>
</LINE>
<LINE>
<WORD coords="628,2963,724,2903,2963">P&quot;</WORD>
<WORD coords="755,2945,786,2911,2945">e</WORD>
<WORD coords="832,2947,887,2892,2946">el</WORD>
<WORD coords="936,2952,1387,2892,2948">denominador</WORD>
<WORD coords="1430,2956,1672,2919,2954">común.</WORD>
<WORD coords="1771,2959,1833,2904,2959">Si</WORD>
<WORD coords="1888,2961,1943,2909,2960">el</WORD>
<WORD coords="1994,2980,2309,2910,2967">quebrado</WORD>
<WORD coords="2350,2973,2412,2938,2972">se</WORD>
<WORD coords="2465,2992,2660,2925,2975">puede</WORD>
<WORD coords="2708,3000,2988,2924,2981">simplifi-</WORD>
</LINE>
<LINE>
<WORD coords="626,3052,732,3013,3050">car</WORD>
<WORD coords="768,3067,786,3041,3068">,</WORD>
<WORD coords="834,3053,898,3017,3052">se</WORD>
<WORD coords="958,3076,1373,3000,3056">simplificara.</WORD>
<WORD coords="1468,3086,1766,3008,3062">Ejemplo.</WORD>
<WORD coords="1856,3070,1953,3012,3069">De</WORD>
<WORD coords="2007,3068,2038,3022,3068">3</WORD>
<WORD coords="2095,3072,2170,3016,3071">de</WORD>
<WORD coords="2248,3079,2392,3040,3076">vara</WORD>
<WORD coords="2454,3084,2687,3039,3081">réstese</WORD>
<WORD coords="2734,3087,2768,3039,3087">2</WORD>
<WORD coords="2802,3098,2813,3057,3096">;</WORD>
<WORD coords="2878,3094,2986,3037,3092">del</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1997,3195,2063,3097,3195">f.-</WORD>
<WORD coords="2740,3191,2776,3143,3191">5</WORD>
</LINE>
<LINE>
<WORD coords="624,3236,661,3187,3236">S</WORD>
<WORD coords="719,3238,778,3202,3237">re</WORD>
<WORD coords="820,3241,881,3198,3239">to</WORD>
<WORD coords="924,3245,978,3190,3244">el</WORD>
<WORD coords="1040,3248,1073,3200,3254">2</WORD>
<WORD coords="1134,3267,1171,3213,3264">y</WORD>
<WORD coords="1234,3250,1260,3197,3255">á</WORD>
<WORD coords="1312,3253,1364,3197,3252">la</WORD>
<WORD coords="1415,3258,1754,3195,3255">diferencia</WORD>
<WORD coords="1806,3257,1833,3204,3259">í</WORD>
<WORD coords="1896,3280,2095,3221,3257">pongo</WORD>
<WORD coords="2145,3264,2201,3205,3262">el</WORD>
<WORD coords="2259,3276,2708,3207,3269">denominador</WORD>
<WORD coords="2754,3282,2981,3241,3279">común</WORD>
</LINE>
<LINE>
<WORD coords="622,3344,659,3293,3352">5</WORD>
<WORD coords="685,3361,699,3334,3361">,</WORD>
<WORD coords="744,3366,782,3310,3360">y</WORD>
<WORD coords="839,3351,974,3313,3349">sera</WORD>
<WORD coords="1021,3354,1074,3303,3353">la</WORD>
<WORD coords="1132,3358,1291,3315,3356">testa</WORD>
<WORD coords="1344,3360,1396,3310,3359">1.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1340,3463,1403,3387,3463">¿T</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="870,3573,1142,3486,3547">Bjernplo</WORD>
<WORD coords="1191,3549,1247,3501,3553">2.</WORD>
<WORD coords="1427,3551,1519,3495,3551">En</WORD>
<WORD coords="1569,3555,1626,3498,3554">la</WORD>
<WORD coords="1672,3559,1833,3511,3557">resta</WORD>
<WORD coords="1877,3564,2164,3503,3561">indicada</WORD>
<WORD coords="2250,3581,2526,3518,3568">2—4,</WORD>
<WORD coords="2560,3577,2844,3514,3572">reduciré</WORD>
<WORD coords="2877,3582,2972,3521,3580">los</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="690,3679,699,3671,3678">.</WORD>
<WORD coords="2252,3677,2297,3624,3677">a</WORD>
<WORD coords="2465,3676,2523,3599,3676">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="618,3756,970,3679,3736">quebrados</WORD>
<WORD coords="1027,3736,1054,3686,3741">á</WORD>
<WORD coords="1099,3765,1520,3684,3741">homogéneos</WORD>
<WORD coords="1574,3765,1608,3709,3756">y</WORD>
<WORD coords="1664,3748,1879,3693,3746">tendré</WORD>
<WORD coords="1943,3751,2016,3702,3749">14</WORD>
<WORD coords="2071,3742,2146,3732,3744">—</WORD>
<WORD coords="2208,3767,2500,3703,3766">12&apos;ts¿;#.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2059,3861,2127,3787,3861">51</WORD>
<WORD coords="2252,3803,2337,3788,3847">~</WORD>
<WORD coords="2432,3867,2514,3788,3867">¿T</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="876,3933,1355,3875,3927">Demostración,</WORD>
<WORD coords="1450,3936,1526,3877,3935">Se</WORD>
<WORD coords="1582,3939,1849,3882,3937">reducen</WORD>
<WORD coords="1898,3943,1993,3885,3940">los</WORD>
<WORD coords="2032,3962,2379,3890,3943">quebrados</WORD>
<WORD coords="2435,3948,2465,3913,3948">a</WORD>
<WORD coords="2514,3973,2956,3897,3947">homogéneos,</WORD>
</LINE>
<LINE>
<WORD coords="610,4058,848,3999,4037">porque</WORD>
<WORD coords="897,4038,972,4001,4037">en</WORD>
<WORD coords="1024,4039,1080,3989,4037">ia</WORD>
<WORD coords="1120,4043,1504,3986,4040">sustracción</WORD>
<WORD coords="1547,4044,1605,4000,4043">io</WORD>
<WORD coords="1654,4048,1854,3989,4046">ütben</WORD>
<WORD coords="1899,4050,1999,4010,4049">ser</WORD>
<WORD coords="2057,4052,2116,3997,4051">el</WORD>
<WORD coords="2162,4056,2504,3996,4054">minuendo</WORD>
<WORD coords="2547,4074,2587,4016,4066">y</WORD>
<WORD coords="2652,4058,2963,4011,4056">sustraen-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0082.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0083.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0083.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1384,524,1530,432,524">73</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="271,648,406,585,643">do;</WORD>
<WORD coords="462,640,526,603,640">se</WORD>
<WORD coords="580,641,787,593,639">restan</WORD>
<WORD coords="845,640,979,582,639">solo</WORD>
<WORD coords="1032,639,1128,582,638">los</WORD>
<WORD coords="1172,660,1666,596,641">numeradores,</WORD>
<WORD coords="1721,665,1955,605,646">porque</WORD>
<WORD coords="2012,648,2104,591,647">los</WORD>
<WORD coords="2171,669,2478,594,650">podemos</WORD>
<WORD coords="2538,657,2635,616,654">re-</WORD>
</LINE>
<LINE>
<WORD coords="270,771,455,704,747">putar</WORD>
<WORD coords="517,748,698,711,746">romo</WORD>
<WORD coords="745,750,989,702,747">enteros</WORD>
<WORD coords="1049,770,1191,694,755">(35)</WORD>
<WORD coords="1226,764,1244,736,764">,</WORD>
<WORD coords="1294,766,1511,707,748">puesto</WORD>
<WORD coords="1567,770,1683,716,752">que</WORD>
<WORD coords="1740,770,2134,710,753">representan</WORD>
<WORD coords="2187,758,2337,722,757">unas</WORD>
<WORD coords="2384,765,2640,707,760">misniat</WORD>
</LINE>
<LINE>
<WORD coords="270,871,633,799,854">unidades,</WORD>
<WORD coords="689,877,729,820,875">y</WORD>
<WORD coords="784,873,1003,818,853">operar</WORD>
<WORD coords="1049,857,1230,816,855">convo</WORD>
<WORD coords="1290,853,1363,819,853">en</WORD>
<WORD coords="1411,873,1728,803,855">aquellos;</WORD>
<WORD coords="1763,860,1824,824,858">se</WORD>
<WORD coords="1875,877,2027,824,859">pone</WORD>
<WORD coords="2080,862,2136,807,861">el</WORD>
<WORD coords="2186,871,2644,809,867">denominador</WORD>
</LINE>
<LINE>
<WORD coords="271,966,500,923,962">común</WORD>
<WORD coords="531,976,547,949,976">,</WORD>
<WORD coords="581,978,725,924,961">para</WORD>
<WORD coords="776,962,953,907,961">saber</WORD>
<WORD coords="1002,961,1059,905,961">el</WORD>
<WORD coords="1089,960,1279,906,959">orden</WORD>
<WORD coords="1326,982,1365,926,973">y</WORD>
<WORD coords="1410,965,1668,907,962">nombre</WORD>
<WORD coords="1716,964,1794,912,964">de</WORD>
<WORD coords="1841,965,1926,912,964">las</WORD>
<WORD coords="1975,974,2303,913,968">unidades.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="362,1070,497,1019,1069">125.</WORD>
<WORD coords="597,1069,777,1013,1066">Prob.</WORD>
<WORD coords="824,1090,859,1035,1081">y</WORD>
<WORD coords="925,1070,1189,1033,1068">reso-uc.</WORD>
<WORD coords="1256,1070,1419,1011,1069">Para</WORD>
<WORD coords="1469,1071,1672,1025,1068">reatar</WORD>
<WORD coords="1722,1071,1803,1033,1070">un</WORD>
<WORD coords="1847,1094,2144,1016,1072">quebrado</WORD>
<WORD coords="2195,1077,2266,1022,1077">de</WORD>
<WORD coords="2309,1079,2388,1041,1078">un</WORD>
<WORD coords="2421,1091,2649,1037,1082">entero*</WORD>
</LINE>
<LINE>
<WORD coords="270,1182,338,1143,1180">se</WORD>
<WORD coords="402,1200,608,1121,1176">rebaja</WORD>
<WORD coords="659,1179,777,1140,1177">una</WORD>
<WORD coords="835,1180,1068,1122,1177">unidad</WORD>
<WORD coords="1118,1177,1218,1121,1175">del</WORD>
<WORD coords="1274,1176,1486,1131,1175">entero</WORD>
<WORD coords="1519,1194,1535,1166,1187">,</WORD>
<WORD coords="1590,1178,1720,1135,1177">esta</WORD>
<WORD coords="1778,1178,1841,1143,1178">se</WORD>
<WORD coords="1906,1182,2131,1126,1180">reduce</WORD>
<WORD coords="2191,1204,2215,1129,1204">f</WORD>
<WORD coords="2267,1186,2382,1135,1186">114</WORD>
<WORD coords="2427,1210,2450,1131,1199">]</WORD>
<WORD coords="2498,1188,2525,1153,1188">a</WORD>
<WORD coords="2583,1194,2642,1134,1191">la</WORD>
</LINE>
<LINE>
<WORD coords="267,1306,525,1229,1286">especie</WORD>
<WORD coords="579,1285,678,1229,1283">del</WORD>
<WORD coords="729,1304,1046,1229,1284">quebrado</WORD>
<WORD coords="1088,1302,1206,1248,1283">que</WORD>
<WORD coords="1271,1302,1609,1231,1281">acompaña</WORD>
<WORD coords="1643,1305,1679,1249,1296">y</WORD>
<WORD coords="1712,1285,1789,1230,1285">de</WORD>
<WORD coords="1824,1286,1952,1241,1285">este</WORD>
<WORD coords="2016,1306,2341,1233,1289">quebrado</WORD>
<WORD coords="2400,1293,2461,1259,1292">se</WORD>
<WORD coords="2510,1297,2640,1258,1296">res-</WORD>
</LINE>
<LINE>
<WORD coords="267,1398,331,1351,1397">ta</WORD>
<WORD coords="394,1398,450,1339,1396">el</WORD>
<WORD coords="502,1396,893,1337,1394">sustraendo.</WORD>
<WORD coords="983,1415,1279,1336,1392">Ejemplo,</WORD>
<WORD coords="1377,1394,1472,1336,1393">De</WORD>
<WORD coords="1521,1393,1555,1343,1394">8</WORD>
<WORD coords="1602,1396,1776,1357,1394">varas</WORD>
<WORD coords="1819,1396,2054,1350,1394">réstese</WORD>
<WORD coords="2106,1393,2139,1346,1394">3</WORD>
<WORD coords="2186,1398,2261,1343,1397">de</WORD>
<WORD coords="2312,1400,2454,1363,1400">vara</WORD>
<WORD coords="2487,1417,2505,1367,1412">;</WORD>
<WORD coords="2536,1407,2633,1363,1404">me</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2128,1503,2163,1457,1503">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="268,1605,477,1540,1583">presto</WORD>
<WORD coords="532,1584,556,1535,1585">1</WORD>
<WORD coords="614,1583,713,1525,1582">del</WORD>
<WORD coords="767,1583,801,1534,1585">8</WORD>
<WORD coords="839,1604,881,1546,1602">y</WORD>
<WORD coords="941,1600,1141,1526,1582">queda</WORD>
<WORD coords="1198,1583,1272,1546,1582">en</WORD>
<WORD coords="1327,1585,1361,1531,1586">7</WORD>
<WORD coords="1397,1587,1413,1549,1587">s</WORD>
<WORD coords="1453,1583,1511,1527,1583">el</WORD>
<WORD coords="1562,1585,1589,1534,1586">1</WORD>
<WORD coords="1640,1586,1913,1528,1585">reduzco</WORD>
<WORD coords="1964,1586,1994,1531,1586">á</WORD>
<WORD coords="2049,1607,2300,1542,1588">quintos</WORD>
<WORD coords="2344,1613,2385,1554,1613">y</WORD>
<WORD coords="2445,1618,2636,1547,1594">tengo</WORD>
</LINE>
<LINE>
<WORD coords="266,1694,304,1642,1694">S</WORD>
<WORD coords="360,1693,437,1635,1692">de</WORD>
<WORD coords="489,1712,678,1636,1692">quien</WORD>
<WORD coords="749,1692,918,1645,1691">resto</WORD>
<WORD coords="996,1688,1031,1638,1690">3</WORD>
<WORD coords="1071,1709,1110,1653,1700">y</WORD>
<WORD coords="1156,1691,1391,1634,1689">resulta</WORD>
<WORD coords="1429,1693,1464,1639,1692">7</WORD>
<WORD coords="1656,1692,1692,1643,1692">2</WORD>
<WORD coords="1740,1695,1942,1655,1693">varas.</WORD>
</LINE>
<LINE>
<WORD coords="264,1800,302,1752,1799">5</WORD>
<WORD coords="999,1796,1060,1720,1796">F</WORD>
<WORD coords="1655,1798,1690,1752,1798">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="352,1886,489,1832,1884">126.</WORD>
<WORD coords="586,1884,790,1825,1882">Prcb!.</WORD>
<WORD coords="855,1902,896,1844,1894">y</WORD>
<WORD coords="950,1886,1216,1826,1880">resolüc.</WORD>
<WORD coords="1259,1883,1424,1822,1881">Para</WORD>
<WORD coords="1483,1882,1685,1835,1881">restar</WORD>
<WORD coords="1727,1883,1810,1843,1882">un</WORD>
<WORD coords="1867,1885,2114,1844,1884">numero</WORD>
<WORD coords="2157,1887,2333,1829,1884">misto</WORD>
<WORD coords="2390,1890,2462,1831,1890">de</WORD>
<WORD coords="2504,1898,2640,1843,1891">otr&amp;</WORD>
</LINE>
<LINE>
<WORD coords="255,1995,434,1937,1992">misto</WORD>
<WORD coords="467,2007,484,1978,1999">,</WORD>
<WORD coords="532,1990,600,1955,1990">se</WORD>
<WORD coords="656,1989,816,1942,1988">resta</WORD>
<WORD coords="868,1989,923,1933,1988">el</WORD>
<WORD coords="978,2008,1297,1932,1988">quebrado</WORD>
<WORD coords="1347,1987,1445,1933,1986">del</WORD>
<WORD coords="1509,2006,1826,1933,1989">quebrado</WORD>
<WORD coords="1868,2013,1909,1954,2002">y</WORD>
<WORD coords="1961,1991,2021,1935,1990">el</WORD>
<WORD coords="2078,1994,2291,1947,1991">entero</WORD>
<WORD coords="2358,2001,2460,1944,1999">del</WORD>
<WORD coords="2523,2002,2629,1962,2002">en-</WORD>
</LINE>
<LINE>
<WORD coords="252,2100,407,2053,2098">tero.</WORD>
<WORD coords="505,2098,566,2042,2097">Si</WORD>
<WORD coords="616,2098,671,2042,2096">el</WORD>
<WORD coords="737,2115,1064,2039,2095">qutbrado</WORD>
<WORD coords="1122,2094,1221,2039,2094">del</WORD>
<WORD coords="1267,2095,1605,2038,2093">minuendo</WORD>
<WORD coords="1661,2096,1837,2038,2095">fuese</WORD>
<WORD coords="1908,2096,2124,2059,2095">menor</WORD>
<WORD coords="2182,2120,2301,2067,2103">que</WORD>
<WORD coords="2359,2107,2416,2049,2106">el</WORD>
<WORD coords="2472,2126,2629,2070,2111">que°</WORD>
</LINE>
<LINE>
<WORD coords="251,2208,449,2150,2205">ferado</WORD>
<WORD coords="493,2205,594,2148,2204">del</WORD>
<WORD coords="644,2206,1011,2146,2202">sustraendo</WORD>
<WORD coords="1047,2224,1072,2187,2214">,</WORD>
<WORD coords="1117,2203,1181,2166,2202">se</WORD>
<WORD coords="1230,2206,1469,2150,2202">tomará</WORD>
<WORD coords="1515,2205,1631,2168,2204">una</WORD>
<WORD coords="1686,2207,1923,2149,2205">unidad</WORD>
<WORD coords="1971,2206,2073,2149,2205">del</WORD>
<WORD coords="2108,2207,2320,2165,2206">entero</WORD>
<WORD coords="2353,2226,2369,2198,2220">,</WORD>
<WORD coords="2416,2214,2468,2160,2213">la</WORD>
<WORD coords="2500,2235,2620,2179,2219">que</WORD>
</LINE>
<LINE>
<WORD coords="253,2320,557,2262,2317">reducida</WORD>
<WORD coords="591,2317,618,2266,2317">á</WORD>
<WORD coords="668,2335,988,2260,2315">quebrado</WORD>
<WORD coords="1038,2337,1229,2278,2313">cuyos</WORD>
<WORD coords="1261,2315,1561,2261,2313">términos</WORD>
<WORD coords="1600,2316,1750,2278,2315">sean</WORD>
<WORD coords="1800,2337,2040,2261,2316">iguales</WORD>
<WORD coords="2090,2317,2204,2279,2316">con</WORD>
<WORD coords="2251,2318,2304,2261,2316">el</WORD>
<WORD coords="2341,2328,2629,2265,2322">denomio</WORD>
</LINE>
<LINE>
<WORD coords="264,2425,463,2368,2423">nador</WORD>
<WORD coords="492,2440,510,2410,2432">,</WORD>
<WORD coords="534,2423,604,2386,2423">«e</WORD>
<WORD coords="651,2424,908,2367,2422">añadirá</WORD>
<WORD coords="955,2422,1009,2366,2422">al</WORD>
<WORD coords="1057,2440,1377,2364,2420">quebrado</WORD>
<WORD coords="1426,2423,1767,2365,2421">minuendo</WORD>
<WORD coords="1821,2443,1857,2386,2433">y</WORD>
<WORD coords="1915,2423,1979,2387,2422">se</WORD>
<WORD coords="2030,2445,2343,2368,2423">ejecutará</WORD>
<WORD coords="2395,2429,2447,2371,2427">la</WORD>
<WORD coords="2500,2436,2629,2395,2433">res*</WORD>
</LINE>
<LINE>
<WORD coords="249,2534,311,2484,2534">ta</WORD>
<WORD coords="341,2548,357,2501,2548">;</WORD>
<WORD coords="394,2552,503,2496,2531">por</WORD>
<WORD coords="534,2555,963,2476,2530">consiguiente</WORD>
<WORD coords="998,2546,1016,2520,2540">,</WORD>
<WORD coords="1063,2531,1122,2476,2530">la</WORD>
<WORD coords="1184,2534,1361,2495,2533">suma</WORD>
<WORD coords="1410,2553,1682,2476,2532">quedará</WORD>
<WORD coords="1729,2536,1927,2475,2534">hecha</WORD>
<WORD coords="1978,2536,2095,2498,2535">con</WORD>
<WORD coords="2141,2536,2275,2491,2535">solo</WORD>
<WORD coords="2306,2541,2525,2481,2539">añadir</WORD>
<WORD coords="2559,2544,2619,2485,2544">ai</WORD>
</LINE>
<LINE>
<WORD coords="256,2643,635,2587,2641">numerador</WORD>
<WORD coords="666,2641,737,2605,2640">su</WORD>
<WORD coords="791,2642,1269,2584,2639">denominador.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="496,2770,772,2691,2747">Ejemplo</WORD>
<WORD coords="828,2747,903,2689,2747">B,</WORD>
<WORD coords="1004,2749,1123,2692,2748">Del</WORD>
<WORD coords="1178,2751,1440,2712,2749">numero</WORD>
<WORD coords="1487,2751,1676,2694,2750">misto</WORD>
<WORD coords="1733,2752,1772,2697,2752">6</WORD>
<WORD coords="1830,2753,1962,2716,2752">mas</WORD>
<WORD coords="2017,2753,2050,2700,2753">3</WORD>
<WORD coords="2101,2772,2276,2698,2753">quin-</WORD>
<WORD coords="2577,2761,2614,2707,2761">3</WORD>
</LINE>
<LINE>
<WORD coords="241,2860,340,2812,2859">tos</WORD>
<WORD coords="389,2877,607,2802,2857">quiero</WORD>
<WORD coords="679,2855,875,2809,2853">restar</WORD>
<WORD coords="922,2856,958,2805,2857">3</WORD>
<WORD coords="1014,2857,1145,2818,2856">mas</WORD>
<WORD coords="1204,2858,1248,2807,2858">4</WORD>
<WORD coords="1314,2874,1563,2802,2856">quintos</WORD>
<WORD coords="1688,2881,1975,2802,2860">Después</WORD>
<WORD coords="2040,2863,2119,2803,2862">de</WORD>
<WORD coords="2181,2862,2278,2825,2861">co-</WORD>
<WORD coords="2369,2865,2409,2811,2865">6</WORD>
<WORD coords="2454,2880,2500,2814,2880">*f</WORD>
<WORD coords="2533,2857,2588,2842,2858">—</WORD>
<WORD coords="2588,2859,2617,2842,0">°</WORD>
</LINE>
<LINE>
<WORD coords="240,2971,494,2913,2967">locados</WORD>
<WORD coords="549,2966,730,2929,2964">como</WORD>
<WORD coords="776,2964,841,2927,2963">se</WORD>
<WORD coords="894,2969,971,2928,2967">ve</WORD>
<WORD coords="1027,2965,1057,2912,2966">á</WORD>
<WORD coords="1102,2967,1158,2910,2966">la</WORD>
<WORD coords="1206,2988,1459,2929,2964">margen</WORD>
<WORD coords="1494,2983,1510,2956,2976">,</WORD>
<WORD coords="1543,2969,1806,2910,2967">observo</WORD>
<WORD coords="1863,2983,1983,2932,2968">que</WORD>
<WORD coords="2027,2969,2084,2915,2968">el</WORD>
<WORD coords="2130,2990,2277,2932,2970">que-</WORD>
<WORD coords="2574,2976,2614,2924,2976">5</WORD>
</LINE>
<LINE>
<WORD coords="235,3073,273,3015,3073">b</WORD>
<WORD coords="316,3077,432,3016,3072">ádo</WORD>
<WORD coords="496,3073,835,3016,3070">minuendo</WORD>
<WORD coords="882,3072,950,3035,3072">es</WORD>
<WORD coords="1003,3072,1217,3034,3071">menor</WORD>
<WORD coords="1251,3091,1370,3037,3072">que</WORD>
<WORD coords="1416,3074,1471,3019,3073">el</WORD>
<WORD coords="1524,3075,1888,3018,3073">sustraendo</WORD>
<WORD coords="1920,3089,1942,3040,3082">;</WORD>
<WORD coords="1978,3076,2070,3040,3075">me</WORD>
<WORD coords="2105,3094,2271,3038,3075">pres-</WORD>
<WORD coords="2569,3084,2613,3030,3084">4</WORD>
</LINE>
<LINE>
<WORD coords="233,3181,300,3133,3180">to</WORD>
<WORD coords="361,3195,510,3143,3179">pues</WORD>
<WORD coords="558,3180,677,3143,3179">una</WORD>
<WORD coords="723,3182,960,3122,3179">unidad</WORD>
<WORD coords="1012,3180,1109,3125,3178">del</WORD>
<WORD coords="1178,3180,1215,3128,3181">6</WORD>
<WORD coords="1248,3191,1262,3170,3186">,</WORD>
<WORD coords="1290,3182,1347,3126,3180">la</WORD>
<WORD coords="1410,3183,1731,3127,3180">convierto</WORD>
<WORD coords="1802,3182,1877,3144,3181">en</WORD>
<WORD coords="1953,3200,2271,3126,3183">quebrado</WORD>
<WORD coords="2307,3194,2358,3125,3194">B</WORD>
<WORD coords="2390,3186,2424,3134,3186">3</WORD>
<WORD coords="2456,3194,2498,3137,3194">f</WORD>
<WORD coords="2528,3181,2612,3163,3181">—</WORD>
</LINE>
<LINE>
<WORD coords="235,3310,395,3253,3289">cuyo</WORD>
<WORD coords="428,3290,804,3234,3288">numerador</WORD>
<WORD coords="835,3313,876,3255,3303">y</WORD>
<WORD coords="922,3293,1374,3237,3291">denominador</WORD>
<WORD coords="1428,3293,1539,3257,3292">son</WORD>
<WORD coords="1572,3314,1808,3239,3292">iguales</WORD>
<WORD coords="1841,3294,1870,3241,3293">á</WORD>
<WORD coords="1918,3293,1953,3246,3293">5</WORD>
<WORD coords="1979,3306,1994,3262,3300">;</WORD>
<WORD coords="2021,3295,2075,3240,3294">el</WORD>
<WORD coords="2106,3295,2142,3245,3295">5</WORD>
<WORD coords="2173,3296,2275,3257,3295">su-</WORD>
<WORD coords="2566,3296,2608,3241,3296">5</WORD>
</LINE>
<LINE>
<WORD coords="230,3398,332,3358,3396">mo</WORD>
<WORD coords="389,3396,503,3359,3395">con</WORD>
<WORD coords="553,3396,609,3342,3395">el</WORD>
<WORD coords="665,3403,1046,3344,3398">numerador</WORD>
<WORD coords="1093,3399,1126,3350,3399">3</WORD>
<WORD coords="1190,3400,1247,3346,3400">lo</WORD>
<WORD coords="1313,3419,1432,3364,3401">que</WORD>
<WORD coords="1494,3400,1571,3346,3400">da</WORD>
<WORD coords="1633,3400,1667,3352,3400">8</WORD>
<WORD coords="1708,3415,1725,3389,3408">,</WORD>
<WORD coords="1781,3402,1858,3346,3401">de</WORD>
<WORD coords="1917,3403,2049,3359,3402">este</WORD>
<WORD coords="2098,3403,2246,3345,3402">reba</WORD>
<WORD coords="2366,3390,2374,3375,3390">■</WORD>
</LINE>
<LINE>
<WORD coords="215,3528,289,3448,3500">jo</WORD>
<WORD coords="341,3504,394,3451,3503">el</WORD>
<WORD coords="443,3505,819,3447,3503">numerador</WORD>
<WORD coords="871,3505,910,3454,3505">4</WORD>
<WORD coords="968,3506,1068,3449,3505">del</WORD>
<WORD coords="1124,3507,1492,3451,3506">sustraendo</WORD>
<WORD coords="1524,3527,1561,3471,3527">y</WORD>
<WORD coords="1597,3527,1759,3452,3507">qued</WORD>
<WORD coords="1806,3507,1839,3473,3507">n</WORD>
<WORD coords="1898,3511,1938,3462,3511">4</WORD>
<WORD coords="1996,3528,2173,3454,3507">quint</WORD>
<WORD coords="2197,3523,2267,3474,3505">as,</WORD>
<WORD coords="2557,3508,2598,3454,3508">4</WORD>
</LINE>
<LINE>
<WORD coords="223,3630,264,3573,3630">y</WORD>
<WORD coords="324,3632,695,3555,3610">ejecutando</WORD>
<WORD coords="745,3612,797,3558,3611">la</WORD>
<WORD coords="853,3614,1014,3570,3613">resta</WORD>
<WORD coords="1062,3615,1141,3559,3614">de</WORD>
<WORD coords="1188,3615,1279,3558,3614">los</WORD>
<WORD coords="1339,3616,1586,3570,3614">enteros</WORD>
<WORD coords="1641,3617,1786,3575,3615">sera</WORD>
<WORD coords="1848,3616,1903,3572,3615">ia</WORD>
<WORD coords="1961,3617,2126,3570,3615">resta</WORD>
<WORD coords="2180,3618,2243,3571,3617">to</WORD>
<WORD coords="2359,3616,2395,3566,3616">2</WORD>
<WORD coords="2443,3624,2488,3558,3619">+</WORD>
<WORD coords="2520,3604,2602,3588,3604">—</WORD>
</LINE>
<LINE>
<WORD coords="216,3718,308,3669,3717">fui</WORD>
<WORD coords="367,3742,643,3665,3723">2|4,</WORD>
<WORD coords="2548,3720,2590,3669,3720">5</WORD>
</LINE>
<LINE>
<WORD coords="574,3827,609,3778,3827">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="776,3914,1212,3851,3909">DIVISION</WORD>
<WORD coords="1271,3910,1386,3855,3909">DF</WORD>
<WORD coords="1444,3924,2046,3850,3913">QUEBRADOS.</WORD>
</LINE>
<LINE>
<WORD coords="309,4043,453,3986,4041">%27&gt;.</WORD>
<WORD coords="549,4046,733,3986,4044">Probl</WORD>
<WORD coords="781,4065,824,4005,4058">y</WORD>
<WORD coords="879,4051,1254,3991,4046">resolución,</WORD>
<WORD coords="1310,4041,1394,3991,4041">ta</WORD>
<WORD coords="1439,4040,1473,4008,4040">a</WORD>
<WORD coords="1531,4050,1761,3990,4046">dividir</WORD>
<WORD coords="1808,4047,1888,4007,4046">un</WORD>
<WORD coords="1933,4071,2229,3988,4048">quebrado</WORD>
<WORD coords="2268,4067,2385,3996,4041">por</WORD>
<WORD coords="2430,4042,2567,3990,4040">ctro</WORD>
<WORD coords="2571,4057,2591,4026,4057">$</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0083.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0084.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0084.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1740,516,1884,404,516">Vi</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="618,625,687,580,624">se</WORD>
<WORD coords="744,643,1094,568,627">multiplica</WORD>
<WORD coords="1147,631,1203,572,630">el</WORD>
<WORD coords="1257,636,1641,577,633">numerador</WORD>
<WORD coords="1695,638,1794,582,637">del</WORD>
<WORD coords="1851,645,2196,585,642">dividendo</WORD>
<WORD coords="2264,664,2375,607,646">por</WORD>
<WORD coords="2433,649,2487,591,648">el</WORD>
<WORD coords="2533,662,2990,587,652">denominado*</WORD>
</LINE>
<LINE>
<WORD coords="614,732,714,674,731">del</WORD>
<WORD coords="753,734,992,677,733">divisor</WORD>
<WORD coords="1022,757,1061,700,752">y</WORD>
<WORD coords="1104,738,1230,692,737">este</WORD>
<WORD coords="1280,758,1586,683,739">producto</WORD>
<WORD coords="1639,744,1778,707,742">sera</WORD>
<WORD coords="1810,745,1865,690,745">el</WORD>
<WORD coords="1919,752,2303,696,749">numerador</WORD>
<WORD coords="2349,754,2450,699,753">del</WORD>
<WORD coords="2497,775,2813,716,756">cociente;</WORD>
<WORD coords="2852,764,2991,708,763">des¿</WORD>
</LINE>
<LINE>
<WORD coords="615,856,768,796,840">pues</WORD>
<WORD coords="819,841,883,805,839">se</WORD>
<WORD coords="932,862,1274,787,843">multiplica</WORD>
<WORD coords="1319,846,1374,790,845">el</WORD>
<WORD coords="1433,853,1885,792,849">denominador</WORD>
<WORD coords="1943,856,2048,800,854">def</WORD>
<WORD coords="2110,861,2456,802,858">dividendo</WORD>
<WORD coords="2521,881,2629,826,862">por</WORD>
<WORD coords="2670,866,2724,811,865">el</WORD>
<WORD coords="2780,870,2996,832,868">nume-</WORD>
</LINE>
<LINE>
<WORD coords="615,945,806,890,943">rador</WORD>
<WORD coords="854,947,955,891,946">del</WORD>
<WORD coords="1009,953,1250,891,949">divisor</WORD>
<WORD coords="1300,971,1342,914,965">y</WORD>
<WORD coords="1388,954,1518,908,952">este</WORD>
<WORD coords="1575,975,1883,902,958">producto</WORD>
<WORD coords="1942,964,2077,925,962">sera</WORD>
<WORD coords="2121,965,2177,912,964">el</WORD>
<WORD coords="2238,972,2691,910,968">denominador</WORD>
<WORD coords="2741,974,2844,916,974">del</WORD>
<WORD coords="2888,976,2989,938,975">co*</WORD>
</LINE>
<LINE>
<WORD coords="616,1055,847,996,1053">citnte.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="865,1188,1169,1106,1165">Ejemplo.</WORD>
<WORD coords="1292,1172,1601,1111,1170">Divídase</WORD>
<WORD coords="1667,1174,1703,1125,1176">2</WORD>
<WORD coords="1757,1175,1833,1116,1174">de</WORD>
<WORD coords="1882,1177,2022,1136,1175">vara</WORD>
<WORD coords="2070,1197,2181,1139,1179">por</WORD>
<WORD coords="2212,1182,2252,1132,1182">4</WORD>
<WORD coords="2287,1196,2303,1149,1196">;</WORD>
<WORD coords="2352,1203,2700,1126,1183">multiplico</WORD>
<WORD coords="2754,1188,2810,1133,1187">el</WORD>
<WORD coords="2876,1192,2986,1151,1190">nu-</WORD>
</LINE>
<LINE>
<WORD coords="1673,1282,1708,1234,1283">3</WORD>
<WORD coords="2206,1291,2258,1211,1291">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="610,1360,915,1300,1356">merador</WORD>
<WORD coords="972,1362,1010,1311,1365">2</WORD>
<WORD coords="1063,1360,1164,1300,1358">del</WORD>
<WORD coords="1218,1363,1566,1302,1361">dividendo</WORD>
<WORD coords="1619,1381,1729,1327,1363">por</WORD>
<WORD coords="1784,1365,1839,1309,1364">el</WORD>
<WORD coords="1900,1373,2353,1309,1368">denominador</WORD>
<WORD coords="2406,1376,2439,1324,1375">7</WORD>
<WORD coords="2477,1375,2576,1318,1374">del</WORD>
<WORD coords="2633,1379,2877,1320,1376">divisor</WORD>
<WORD coords="2911,1392,2928,1365,1392">,</WORD>
<WORD coords="2952,1398,2993,1340,1398">y</WORD>
</LINE>
<LINE>
<WORD coords="614,1462,678,1406,1461">ti</WORD>
<WORD coords="723,1477,1027,1408,1464">producto</WORD>
<WORD coords="1089,1468,1166,1418,1470">14</WORD>
<WORD coords="1221,1468,1354,1429,1467">sera</WORD>
<WORD coords="1415,1468,1472,1414,1468">el</WORD>
<WORD coords="1531,1474,1911,1417,1471">numerador</WORD>
<WORD coords="1961,1476,2062,1420,1475">del</WORD>
<WORD coords="2110,1478,2218,1443,1477">coc</WORD>
<WORD coords="2249,1482,2386,1436,1481">ente</WORD>
<WORD coords="2424,1486,2439,1451,1486">:</WORD>
<WORD coords="2475,1495,2824,1424,1481">multiplico</WORD>
<WORD coords="2858,1485,2997,1428,1484">des-</WORD>
</LINE>
<LINE>
<WORD coords="612,1589,768,1529,1571">pués</WORD>
<WORD coords="827,1572,885,1515,1571">el</WORD>
<WORD coords="936,1577,1388,1516,1574">denominador</WORD>
<WORD coords="1447,1579,1479,1530,1580">3</WORD>
<WORD coords="1541,1581,1641,1523,1580">del</WORD>
<WORD coords="1691,1583,2036,1526,1581">dividendo</WORD>
<WORD coords="2098,1603,2206,1548,1585">por</WORD>
<WORD coords="2256,1588,2310,1534,1588">el</WORD>
<WORD coords="2372,1590,2752,1537,1588">numerador</WORD>
<WORD coords="2808,1593,2850,1543,1593">4</WORD>
<WORD coords="2897,1597,3000,1537,1594">del</WORD>
</LINE>
<LINE>
<WORD coords="614,1679,862,1621,1677">divisor</WORD>
<WORD coords="929,1699,965,1644,1694">y</WORD>
<WORD coords="1012,1681,1070,1625,1680">el</WORD>
<WORD coords="1115,1713,1444,1627,1683">producto^</WORD>
<WORD coords="1466,1687,1539,1638,1688">12</WORD>
<WORD coords="1588,1706,1818,1631,1686">pondré</WORD>
<WORD coords="1877,1707,1985,1652,1688">por</WORD>
<WORD coords="2044,1696,2496,1636,1693">denominador</WORD>
<WORD coords="2544,1697,2601,1639,1696">al</WORD>
<WORD coords="2665,1697,2739,1645,1696">14</WORD>
<WORD coords="2766,1721,2787,1682,1721">f</WORD>
<WORD coords="2822,1718,2857,1661,1712">y</WORD>
<WORD coords="2892,1700,2988,1662,1699">se-</WORD>
</LINE>
<LINE>
<WORD coords="611,1790,684,1746,1790">ta</WORD>
<WORD coords="736,1788,794,1729,1787">el</WORD>
<WORD coords="852,1789,1131,1732,1787">cociente</WORD>
<WORD coords="1192,1812,1361,1732,1791">igual</WORD>
<WORD coords="1397,1794,1430,1736,1794">á</WORD>
<WORD coords="1479,1796,1556,1743,1795">14</WORD>
<WORD coords="1600,1809,1705,1766,1802">=p</WORD>
<WORD coords="1753,1794,1787,1742,1793">7</WORD>
<WORD coords="1831,1782,1935,1766,1787">~</WORD>
<WORD coords="1981,1799,2012,1742,1799">1</WORD>
<WORD coords="2232,1801,2283,1751,1801">1.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1501,1902,1573,1854,1902">V2</WORD>
<WORD coords="1759,1902,1797,1852,1902">6</WORD>
<WORD coords="2227,1905,2264,1855,1905">6</WORD>
</LINE>
<LINE>
<WORD coords="863,1985,1354,1923,1981">Demostración*</WORD>
<WORD coords="1470,1985,1728,1927,1983">Dividir</WORD>
<WORD coords="1791,1986,1847,1930,1986">el</WORD>
<WORD coords="1927,2007,2242,1931,1987">quebrado</WORD>
<WORD coords="2309,1988,2344,1940,1988">2</WORD>
<WORD coords="2393,2008,2504,1951,1990">por</WORD>
<WORD coords="2551,1991,2591,1940,1991">4</WORD>
<WORD coords="2636,1992,2700,1955,1992">es</WORD>
<WORD coords="2730,1996,2990,1937,1994">dividir-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2312,2093,2348,2046,2094">3</WORD>
<WORD coords="2562,2099,2597,2046,2099">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="612,2171,676,2112,2171">lo</WORD>
<WORD coords="736,2188,848,2130,2171">por</WORD>
<WORD coords="891,2171,932,2120,2174">4</WORD>
<WORD coords="974,2194,1014,2136,2186">y</WORD>
<WORD coords="1065,2174,1196,2128,2173">este</WORD>
<WORD coords="1243,2176,1486,2118,2174">divisor</WORD>
<WORD coords="1541,2177,1845,2119,2175">dividirlo</WORD>
<WORD coords="1906,2182,1980,2125,2179">de</WORD>
<WORD coords="2027,2178,2233,2140,2176">nuevo</WORD>
<WORD coords="2290,2196,2397,2141,2176">por</WORD>
<WORD coords="2457,2180,2491,2128,2180">7</WORD>
<WORD coords="2523,2192,2538,2146,2192">;</WORD>
<WORD coords="2600,2204,2996,2126,2181">disidamos,</WORD>
</LINE>
<LINE>
<WORD coords="615,2296,770,2237,2277">pues</WORD>
<WORD coords="805,2293,820,2266,2288">,</WORD>
<WORD coords="865,2279,922,2223,2278">el</WORD>
<WORD coords="975,2298,1296,2224,2279">quebrado</WORD>
<WORD coords="1330,2300,1439,2245,2281">por</WORD>
<WORD coords="1470,2283,1511,2231,2283">4</WORD>
<WORD coords="1545,2283,1602,2228,2282">lo</WORD>
<WORD coords="1661,2302,1778,2248,2283">que</WORD>
<WORD coords="1815,2284,1877,2247,2283">se</WORD>
<WORD coords="1912,2303,2156,2228,2281">ejecuta</WORD>
<WORD coords="2200,2307,2385,2232,2293">(108)</WORD>
<WORD coords="2423,2306,2897,2231,2286">multiplicando</WORD>
<WORD coords="2936,2295,2997,2214,2295">e*</WORD>
</LINE>
<LINE>
<WORD coords="614,2389,1073,2326,2386">denominador</WORD>
<WORD coords="1121,2387,1155,2338,2389">3</WORD>
<WORD coords="1206,2410,1315,2353,2390">por</WORD>
<WORD coords="1370,2391,1411,2340,2391">4</WORD>
<WORD coords="1464,2412,1502,2355,2402">y</WORD>
<WORD coords="1552,2393,1690,2354,2391">sera</WORD>
<WORD coords="1754,2392,1811,2335,2391">el</WORD>
<WORD coords="1871,2391,2147,2334,2389">cociente</WORD>
<WORD coords="2231,2391,2281,2343,2391">2.</WORD>
<WORD coords="2384,2396,2603,2336,2392">Ahora</WORD>
<WORD coords="2688,2398,2984,2341,2395">debemos</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="612,2578,854,2519,2576">dividir</WORD>
<WORD coords="922,2577,976,2521,2576">el</WORD>
<WORD coords="1038,2579,1276,2522,2578">divisor</WORD>
<WORD coords="1322,2580,1363,2529,2580">4</WORD>
<WORD coords="1423,2596,1534,2542,2579">por</WORD>
<WORD coords="1617,2582,1649,2528,2582">7</WORD>
<WORD coords="1689,2592,1705,2568,2592">9</WORD>
<WORD coords="1772,2595,1920,2543,2579">pero</WORD>
<WORD coords="1984,2581,2208,2526,2580">divida</WORD>
<WORD coords="2279,2582,2333,2529,2581">el</WORD>
<WORD coords="2395,2583,2634,2525,2581">divisor</WORD>
<WORD coords="2687,2603,2798,2547,2583">por</WORD>
<WORD coords="2851,2588,2886,2534,2588">7</WORD>
<WORD coords="2931,2590,2995,2546,2590">e3</WORD>
</LINE>
<LINE>
<WORD coords="614,2706,799,2629,2692">(108)</WORD>
<WORD coords="845,2704,1225,2628,2684">multiplicar</WORD>
<WORD coords="1278,2687,1332,2633,2687">el</WORD>
<WORD coords="1388,2692,1665,2632,2688">cociente</WORD>
<WORD coords="1727,2709,1834,2652,2687">por</WORD>
<WORD coords="1886,2690,1911,2637,2690">7</WORD>
<WORD coords="1947,2706,1967,2653,2706">;</WORD>
<WORD coords="2051,2710,2232,2632,2687">luego</WORD>
<WORD coords="2288,2689,2344,2634,2688">el</WORD>
<WORD coords="2425,2689,2698,2630,2688">cociente</WORD>
<WORD coords="2760,2690,2793,2645,2690">2</WORD>
<WORD coords="2845,2698,3002,2640,2694">trul-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2698,2802,2729,2755,2803">3</WORD>
<WORD coords="2768,2822,2905,2756,2810">&gt;&lt;4</WORD>
<WORD coords="2959,2802,2962,2798,2803">.</WORD>
<WORD coords="3008,2816,3013,2810,2816">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="613,2893,1037,2817,2871">triplicaremos</WORD>
<WORD coords="1070,2897,1179,2840,2877">por</WORD>
<WORD coords="1216,2880,1250,2826,2880">7</WORD>
<WORD coords="1288,2891,1389,2822,2874">,1o</WORD>
<WORD coords="1438,2896,1556,2841,2876">que</WORD>
<WORD coords="1604,2877,1667,2842,2876">se</WORD>
<WORD coords="1703,2898,1998,2823,2877">consigue</WORD>
<WORD coords="2059,2888,2535,2821,2875">multiplicando</WORD>
<WORD coords="2581,2885,2650,2849,2885">su</WORD>
<WORD coords="2698,2890,2989,2850,2886">numera-</WORD>
</LINE>
<LINE>
<WORD coords="615,2990,733,2931,2989">dor</WORD>
<WORD coords="787,2989,823,2939,2989">2</WORD>
<WORD coords="888,3009,995,2952,2988">por</WORD>
<WORD coords="1045,2991,1077,2938,2991">7</WORD>
<WORD coords="1106,3005,1125,2978,3005">y</WORD>
<WORD coords="1181,3010,1219,2953,3000">y</WORD>
<WORD coords="1279,2989,1343,2952,2988">se</WORD>
<WORD coords="1406,2990,1621,2933,2988">tendrá</WORD>
<WORD coords="1668,2987,1699,2942,2988">2</WORD>
<WORD coords="1737,3005,1803,2937,2996">&gt;&lt;</WORD>
<WORD coords="1855,2981,1883,2941,2985">7</WORD>
<WORD coords="1916,3002,1930,2957,3002">;</WORD>
<WORD coords="1990,3009,2190,2933,2988">Luego</WORD>
<WORD coords="2253,2992,2373,2933,2989">&amp;fc.</WORD>
<WORD coords="2472,2998,2551,2937,2993">L.</WORD>
<WORD coords="2613,3006,2676,2937,3000">Q</WORD>
<WORD coords="2759,2994,2839,2937,2992">D.</WORD>
<WORD coords="2906,2999,2990,2940,2997">D,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1671,3094,1702,3047,3094">3</WORD>
<WORD coords="1742,3113,1808,3049,3104">&gt;&lt;</WORD>
<WORD coords="1831,3095,1923,3016,3050">&quot;4*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="876,3182,1283,3122,3179">Observación</WORD>
<WORD coords="1401,3178,1450,3130,3177">1..</WORD>
<WORD coords="1478,3155,1514,3122,3154">03</WORD>
<WORD coords="1625,3178,1692,3122,3179">$¿</WORD>
<WORD coords="1740,3176,1792,3127,3174">el</WORD>
<WORD coords="1821,3178,2053,3123,3176">divisor</WORD>
<WORD coords="2086,3177,2143,3144,3177">es</WORD>
<WORD coords="2179,3202,2478,3125,3180">quebrado</WORD>
<WORD coords="2524,3205,2736,3128,3179">propio</WORD>
<WORD coords="2767,3197,2783,3172,3190">,</WORD>
<WORD coords="2813,3183,2866,3125,3182">el</WORD>
<WORD coords="2897,3182,2993,3143,3182">co-</WORD>
</LINE>
<LINE>
<WORD coords="618,3291,812,3232,3287">ciente</WORD>
<WORD coords="863,3288,1002,3251,3287">sera</WORD>
<WORD coords="1059,3308,1196,3250,3286">may</WORD>
<WORD coords="1243,3284,1271,3251,3284">r</WORD>
<WORD coords="1330,3310,1442,3250,3285">que</WORD>
<WORD coords="1499,3285,1555,3227,3283">el</WORD>
<WORD coords="1619,3301,1981,3228,3283">dividendo;</WORD>
<WORD coords="2037,3303,2271,3250,3285">porque</WORD>
<WORD coords="2347,3288,2401,3236,3287">ei</WORD>
<WORD coords="2457,3289,2833,3237,3287">numerador</WORD>
<WORD coords="2915,3290,2992,3233,3289">de</WORD>
</LINE>
<LINE>
<WORD coords="619,3396,750,3350,3394">e^te</WORD>
<WORD coords="811,3393,875,3358,3393">se</WORD>
<WORD coords="934,3414,1279,3337,3392">multiplica</WORD>
<WORD coords="1336,3411,1445,3357,3388">por</WORD>
<WORD coords="1508,3413,1720,3354,3388">mayor</WORD>
<WORD coords="1780,3389,2043,3354,3388">numero</WORD>
<WORD coords="2096,3409,2213,3356,3391">que</WORD>
<WORD coords="2271,3409,2477,3338,3391">aquel,</WORD>
<WORD coords="2521,3410,2630,3357,3391">por</WORD>
<WORD coords="2694,3410,2877,3340,3391">quien</WORD>
<WORD coords="2926,3396,2992,3357,3393">se</WORD>
</LINE>
<LINE>
<WORD coords="619,3519,968,3444,3500">multiplica</WORD>
<WORD coords="1023,3499,1080,3445,3499">el</WORD>
<WORD coords="1128,3500,1598,3444,3498">denominador.</WORD>
<WORD coords="1697,3499,1815,3443,3496">Asi</WORD>
<WORD coords="1877,3498,1948,3462,3498">en</WORD>
<WORD coords="2010,3497,2064,3443,3497">el</WORD>
<WORD coords="2123,3516,2390,3445,3495">ejemplo</WORD>
<WORD coords="2466,3499,2730,3445,3497">anterior</WORD>
<WORD coords="2792,3499,2844,3444,3498">el</WORD>
<WORD coords="2898,3499,2992,3443,3498">di-</WORD>
</LINE>
<LINE>
<WORD coords="619,3610,894,3552,3608">videndo</WORD>
<WORD coords="966,3606,1031,3569,3605">es</WORD>
<WORD coords="1086,3607,1122,3561,3606">2</WORD>
<WORD coords="1205,3606,1425,3551,3604">tercios</WORD>
<WORD coords="1484,3623,1523,3568,3614">y</WORD>
<WORD coords="1611,3604,1659,3550,3604">el</WORD>
<WORD coords="1749,3603,2024,3550,3602">cociente</WORD>
<WORD coords="2100,3603,2163,3567,3602">es</WORD>
<WORD coords="2224,3604,2248,3555,3604">1</WORD>
<WORD coords="2304,3627,2383,3549,3604">-j-</WORD>
<WORD coords="2432,3603,2454,3556,3604">1</WORD>
<WORD coords="2529,3606,2742,3567,3604">sesmo.</WORD>
<WORD coords="2844,3607,2994,3552,3606">Esto</WORD>
</LINE>
<LINE>
<WORD coords="620,3718,702,3679,3717">rio</WORD>
<WORD coords="786,3716,943,3659,3715">debe</WORD>
<WORD coords="1019,3715,1235,3677,3713">causar</WORD>
<WORD coords="1316,3734,1550,3659,3710">ningún</WORD>
<WORD coords="1612,3731,1941,3659,3711">escrúpulo</WORD>
<WORD coords="1977,3723,1993,3698,3723">,</WORD>
<WORD coords="2053,3729,2200,3674,3710">pues</WORD>
<WORD coords="2279,3710,2514,3656,3709">dividir</WORD>
<WORD coords="2576,3712,2653,3675,3710">no</WORD>
<WORD coords="2722,3711,2785,3676,3710">es</WORD>
<WORD coords="2861,3712,2990,3676,3710">mas</WORD>
</LINE>
<LINE>
<WORD coords="624,3842,746,3785,3824">que</WORD>
<WORD coords="825,3841,1154,3767,3820">averiguar</WORD>
<WORD coords="1242,3822,1493,3775,3819">cuantas</WORD>
<WORD coords="1569,3820,1749,3783,3818">veces</WORD>
<WORD coords="1847,3819,1927,3782,3818">un</WORD>
<WORD coords="2008,3818,2264,3781,3816">numero</WORD>
<WORD coords="2343,3817,2621,3762,3816">contiene</WORD>
<WORD coords="2712,3816,2736,3768,3817">á</WORD>
<WORD coords="2817,3816,2909,3781,3814">o-r</WORD>
<WORD coords="2977,3831,2993,3784,3831">;</WORD>
</LINE>
<LINE>
<WORD coords="627,3954,748,3895,3933">que</WORD>
<WORD coords="818,3931,855,3881,3929">2</WORD>
<WORD coords="942,3928,1160,3873,3926">tercios</WORD>
<WORD coords="1250,3946,1551,3881,3925">contenga</WORD>
<WORD coords="1647,3925,1701,3873,3924">al</WORD>
<WORD coords="1796,3927,1836,3876,3927">4</WORD>
<WORD coords="1912,3947,2196,3873,3923">séptimos</WORD>
<WORD coords="2293,3925,2315,3878,3925">1</WORD>
<WORD coords="2406,3926,2522,3889,3926">vez</WORD>
<WORD coords="2604,3924,2770,3871,3921">cabal</WORD>
<WORD coords="2856,3923,2987,3886,3921">mas</WORD>
</LINE>
<LINE>
<WORD coords="628,4043,660,3991,4043">1</WORD>
<WORD coords="747,4043,936,3998,4040">sesmo</WORD>
<WORD coords="1023,4038,1101,3980,4038">de</WORD>
<WORD coords="1182,4036,1301,3997,4036">vez</WORD>
<WORD coords="1341,4054,1359,4022,4044">,</WORD>
<WORD coords="1439,4034,1504,3997,4034">es</WORD>
<WORD coords="1578,4035,1867,3977,4034">evideate</WORD>
<WORD coords="1924,4046,1938,4019,4040">,</WORD>
<WORD coords="2003,4033,2045,3976,4033">h</WORD>
<WORD coords="2089,4054,2235,3996,4033">gise</WORD>
<WORD coords="2309,4034,2364,3979,4033">la</WORD>
<WORD coords="2468,4054,2803,3976,4031">operación</WORD>
<WORD coords="2883,4032,2985,3974,4031">del</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0084.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0085.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0085.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1306,534,1448,442,534">75</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="176,670,371,606,664">«iodo</WORD>
<WORD coords="438,680,559,620,660">que</WORD>
<WORD coords="644,660,708,619,660">ge</WORD>
<WORD coords="780,676,1018,599,655">quiera.</WORD>
<WORD coords="1114,654,1212,595,653">Ea</WORD>
<WORD coords="1264,654,1468,594,652">efówto</WORD>
<WORD coords="1496,667,1513,637,653">,</WORD>
<WORD coords="1585,650,1635,593,650">si</WORD>
<WORD coords="1699,652,1916,587,650">dichos</WORD>
<WORD coords="1982,667,2332,592,648">quebrada</WORD>
<WORD coords="2428,650,2460,605,652">2</WORD>
<WORD coords="2499,650,2508,640,651">.</WORD>
<WORD coords="2539,648,2577,599,648">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2448,754,2477,707,754">3</WORD>
<WORD coords="2541,756,2574,705,756">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="191,852,550,794,849">reducimos</WORD>
<WORD coords="608,850,639,794,849">á</WORD>
<WORD coords="697,849,920,808,846">común</WORD>
<WORD coords="977,847,1426,786,842">denominador</WORD>
<WORD coords="1458,859,1471,812,850">;</WORD>
<WORD coords="1506,841,1872,784,839">tendremos</WORD>
<WORD coords="1915,837,1932,806,837">t</WORD>
<WORD coords="1954,837,1965,784,839">1</WORD>
<WORD coords="2006,841,2062,780,840">di</WORD>
<WORD coords="2079,840,2349,779,838">videndo</WORD>
<WORD coords="2401,857,2570,782,836">igual</WORD>
</LINE>
<LINE>
<WORD coords="196,958,226,902,956">á</WORD>
<WORD coords="293,955,366,907,955">14</WORD>
<WORD coords="421,955,847,900,953">veintiunavos</WORD>
<WORD coords="907,973,940,917,961">y</WORD>
<WORD coords="1002,950,1055,898,950">el</WORD>
<WORD coords="1115,950,1359,893,947">divisor</WORD>
<WORD coords="1427,969,1595,894,947">igual</WORD>
<WORD coords="1645,946,1676,892,947">á</WORD>
<WORD coords="1734,945,1805,898,946">12</WORD>
<WORD coords="1864,948,2285,889,945">veinttunavoa</WORD>
<WORD coords="2326,957,2340,912,957">;</WORD>
<WORD coords="2395,959,2429,906,954">y</WORD>
<WORD coords="2479,943,2571,900,942">tu-</WORD>
</LINE>
<LINE>
<WORD coords="192,1066,422,1007,1063">rnando</WORD>
<WORD coords="479,1063,528,1009,1061">ei</WORD>
<WORD coords="585,1062,977,1008,1060">veinüunavo</WORD>
<WORD coords="1026,1080,1137,1021,1056">por</WORD>
<WORD coords="1207,1057,1442,999,1054">unidad</WORD>
<WORD coords="1480,1067,1494,1043,1061">,</WORD>
<WORD coords="1529,1054,1580,1001,1053">el</WORD>
<WORD coords="1619,1054,1690,1006,1054">18</WORD>
<WORD coords="1739,1072,1774,1019,1063">y</WORD>
<WORD coords="1834,1054,1887,1000,1054">el</WORD>
<WORD coords="1959,1052,2030,1005,1052">12</WORD>
<WORD coords="2089,1050,2264,1016,1048">senui</WORD>
<WORD coords="2314,1050,2423,995,1049">dos</WORD>
<WORD coords="2462,1052,2570,1011,1050">na.</WORD>
</LINE>
<LINE>
<WORD coords="196,1172,404,1133,1170">meros</WORD>
<WORD coords="452,1170,698,1126,1168">enteros</WORD>
<WORD coords="756,1186,876,1132,1167">que</WORD>
<WORD coords="935,1166,1303,1108,1163">dividiendo</WORD>
<WORD coords="1365,1162,1417,1108,1161">el</WORD>
<WORD coords="1458,1162,1575,1107,1156">1.°</WORD>
<WORD coords="1634,1178,1746,1123,1159">por</WORD>
<WORD coords="1804,1162,1860,1107,1161">el</WORD>
<WORD coords="1913,1161,2032,1106,1155">2.°</WORD>
<WORD coords="2090,1159,2164,1105,1157">da</WORD>
<WORD coords="2199,1159,2277,1103,1158">de</WORD>
<WORD coords="2326,1163,2566,1099,1159">cociente</WORD>
</LINE>
<LINE>
<WORD coords="197,1279,258,1231,1279">te</WORD>
<WORD coords="315,1277,338,1228,1277">1</WORD>
<WORD coords="409,1287,451,1227,1281">+</WORD>
<WORD coords="487,1276,519,1231,1276">2</WORD>
<WORD coords="579,1287,687,1249,1286">zzz</WORD>
<WORD coords="736,1277,759,1229,1277">1</WORD>
<WORD coords="820,1289,867,1227,1282">+</WORD>
<WORD coords="905,1275,927,1228,1274">1</WORD>
<WORD coords="992,1273,1046,1221,1272">el</WORD>
<WORD coords="1105,1272,1329,1234,1270">mismo</WORD>
<WORD coords="1392,1289,1511,1233,1269">que</WORD>
<WORD coords="1562,1270,1764,1222,1268">antes.</WORD>
</LINE>
<LINE>
<WORD coords="463,1384,537,1337,1383">12</WORD>
<WORD coords="899,1382,936,1332,1382">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="451,1468,511,1421,1467">2.</WORD>
<WORD coords="684,1467,753,1410,1466">Si</WORD>
<WORD coords="805,1465,861,1410,1464">el</WORD>
<WORD coords="914,1466,1151,1409,1463">divisor</WORD>
<WORD coords="1206,1464,1267,1427,1463">es</WORD>
<WORD coords="1326,1462,1383,1407,1462">la</WORD>
<WORD coords="1426,1474,1702,1405,1461">unidad,</WORD>
<WORD coords="1756,1460,1809,1406,1460">el</WORD>
<WORD coords="1860,1467,2131,1402,1458">cociente,</WORD>
<WORD coords="2162,1457,2304,1420,1456">sera</WORD>
<WORD coords="2349,1456,2402,1399,1455">el</WORD>
<WORD coords="2434,1453,2542,1402,1452">mis</WORD>
<WORD coords="2556,1443,2575,1430,1443">-</WORD>
</LINE>
<LINE>
<WORD coords="185,1578,282,1535,1577">fno</WORD>
<WORD coords="344,1575,667,1518,1573">dividendo</WORD>
<WORD coords="706,1585,722,1541,1585">;</WORD>
<WORD coords="770,1589,806,1535,1580">y</WORD>
<WORD coords="857,1572,913,1522,1570">3.</WORD>
<WORD coords="939,1547,975,1515,1546">88</WORD>
<WORD coords="1031,1570,1078,1515,1570">si</WORD>
<WORD coords="1136,1571,1197,1535,1570">es</WORD>
<WORD coords="1243,1593,1541,1515,1568">quebrado</WORD>
<WORD coords="1603,1591,1900,1512,1566">impropio</WORD>
<WORD coords="1933,1582,1950,1554,1574">,</WORD>
<WORD coords="2006,1564,2065,1511,1564">el</WORD>
<WORD coords="2117,1566,2385,1512,1563">cociente</WORD>
<WORD coords="2430,1560,2572,1524,1559">sera</WORD>
</LINE>
<LINE>
<WORD coords="201,1689,409,1648,1685">menor</WORD>
<WORD coords="453,1707,566,1646,1682">que</WORD>
<WORD coords="620,1682,675,1627,1681">el</WORD>
<WORD coords="726,1681,1046,1622,1679">dividendo</WORD>
<WORD coords="1081,1694,1097,1666,1694">^</WORD>
<WORD coords="1141,1698,1249,1641,1678">por</WORD>
<WORD coords="1303,1679,1358,1626,1678">la</WORD>
<WORD coords="1412,1679,1632,1622,1678">misma</WORD>
<WORD coords="1698,1683,1885,1639,1681">razón</WORD>
<WORD coords="1946,1697,2064,1639,1675">que</WORD>
<WORD coords="2116,1674,2318,1616,1672">dimos</WORD>
<WORD coords="2380,1669,2454,1635,1669">en</WORD>
<WORD coords="2518,1668,2573,1617,1667">ia</WORD>
</LINE>
<LINE>
<WORD coords="202,1813,471,1736,1789">primera</WORD>
<WORD coords="517,1789,941,1731,1787">observación.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="295,1898,428,1847,1896">128.</WORD>
<WORD coords="530,1898,735,1841,1893">Probl.</WORD>
<WORD coords="764,1913,798,1859,1903">y</WORD>
<WORD coords="856,1894,1119,1837,1892">resoluc.</WORD>
<WORD coords="1197,1893,1365,1836,1891">Para</WORD>
<WORD coords="1396,1891,1626,1833,1888">dividir</WORD>
<WORD coords="1655,1889,1737,1850,1888">un</WORD>
<WORD coords="1785,1888,1987,1843,1887">entero</WORD>
<WORD coords="2027,1907,2147,1842,1885">por</WORD>
<WORD coords="2192,1885,2272,1846,1884">un</WORD>
<WORD coords="2324,1908,2578,1826,1881">quebre*</WORD>
</LINE>
<LINE>
<WORD coords="205,2008,277,1950,2005">do</WORD>
<WORD coords="339,2004,402,1968,2003">se</WORD>
<WORD coords="466,2021,626,1966,2000">pone</WORD>
<WORD coords="686,2001,741,1948,2000">el</WORD>
<WORD coords="794,2002,1007,1957,2001">entero</WORD>
<WORD coords="1052,2000,1126,1964,1999">en</WORD>
<WORD coords="1179,1999,1380,1942,1998">fjrma</WORD>
<WORD coords="1431,1997,1507,1942,1997">de</WORD>
<WORD coords="1574,2011,1892,1939,1995">quebrado</WORD>
<WORD coords="1940,2012,2315,1936,1992">poniéndole</WORD>
<WORD coords="2383,1990,2404,1945,1993">1</WORD>
<WORD coords="2466,2009,2576,1951,1993">por</WORD>
</LINE>
<LINE>
<WORD coords="209,2115,662,2053,2111">denominador</WORD>
<WORD coords="697,2124,712,2096,2124">,</WORD>
<WORD coords="772,2129,813,2072,2118">y</WORD>
<WORD coords="860,2108,923,2072,2108">se</WORD>
<WORD coords="988,2131,1223,2057,2106">ejecuta</WORD>
<WORD coords="1272,2106,1449,2069,2105">como</WORD>
<WORD coords="1502,2104,1577,2066,2104">en</WORD>
<WORD coords="1627,2105,1683,2048,2104">ia</WORD>
<WORD coords="1739,2106,2017,2046,2103">división</WORD>
<WORD coords="2076,2104,2153,2048,2103">de</WORD>
<WORD coords="2202,2120,2472,2043,2100">quebrad</WORD>
<WORD coords="2502,2097,2575,2062,2096">.s.</WORD>
</LINE>
<LINE>
<WORD coords="214,2222,336,2161,2218">Asi</WORD>
<WORD coords="434,2217,467,2167,2216">3</WORD>
<WORD coords="552,2216,840,2158,2214">dividido</WORD>
<WORD coords="919,2234,1027,2176,2213">por</WORD>
<WORD coords="1115,2214,1149,2167,2215">5</WORD>
<WORD coords="1198,2226,1304,2185,2223">zss</WORD>
<WORD coords="1362,2211,1462,2161,2210">24.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1118,2319,1171,2244,2297">8*</WORD>
<WORD coords="1364,2318,1480,2237,2318">IT</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="468,2405,619,2350,2403">Para</WORD>
<WORD coords="652,2405,882,2348,2402">dividir</WORD>
<WORD coords="914,2402,993,2364,2401">un</WORD>
<WORD coords="1045,2425,1342,2345,2400">quebrado</WORD>
<WORD coords="1373,2422,1488,2356,2401">por</WORD>
<WORD coords="1535,2400,1616,2361,2400">un</WORD>
<WORD coords="1664,2401,1868,2353,2399">entero</WORD>
<WORD coords="1900,2417,1916,2388,2408">,</WORD>
<WORD coords="1945,2400,2022,2363,2399">no</WORD>
<WORD coords="2064,2423,2190,2343,2398">hsy</WORD>
<WORD coords="2222,2402,2351,2365,2399">mas</WORD>
<WORD coords="2390,2414,2413,2346,2414">f</WORD>
<WORD coords="2427,2415,2574,2342,2402">103)</WORD>
</LINE>
<LINE>
<WORD coords="213,2535,332,2475,2513">•[ue</WORD>
<WORD coords="383,2531,760,2455,2511">multiplicar</WORD>
<WORD coords="802,2517,860,2456,2513">el</WORD>
<WORD coords="908,2511,1357,2453,2508">denominador</WORD>
<WORD coords="1410,2528,1518,2471,2506">por</WORD>
<WORD coords="1578,2509,1634,2454,2508">el</WORD>
<WORD coords="1681,2510,1888,2464,2509">entero</WORD>
<WORD coords="1923,2526,1944,2475,2518">;</WORD>
<WORD coords="1997,2510,2055,2471,2506">v.</WORD>
<WORD coords="2088,2530,2129,2472,2520">g</WORD>
<WORD coords="2175,2508,2208,2462,2509">2</WORD>
<WORD coords="2234,2509,2246,2476,2509">:</WORD>
<WORD coords="2301,2507,2334,2460,2508">5</WORD>
<WORD coords="2372,2508,2466,2476,2509">=</WORD>
<WORD coords="2517,2508,2578,2461,2507">2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2159,2612,2217,2542,2592">~3</WORD>
<WORD coords="2503,2614,2573,2567,2614">15</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="554,2704,814,2646,2702">Escolio,</WORD>
<WORD coords="909,2704,1172,2646,2702">Cuando</WORD>
<WORD coords="1239,2702,1302,2666,2702">se</WORD>
<WORD coords="1352,2723,1582,2658,2699">tengan</WORD>
<WORD coords="1631,2699,1707,2642,2699">de</WORD>
<WORD coords="1757,2699,1992,2642,2697">dividir</WORD>
<WORD coords="2059,2699,2351,2660,2696">números</WORD>
<WORD coords="2429,2697,2579,2644,2695">mis-</WORD>
</LINE>
<LINE>
<WORD coords="217,2814,314,2765,2812">tos</WORD>
<WORD coords="375,2831,482,2774,2811">por</WORD>
<WORD coords="531,2813,820,2774,2810">números</WORD>
<WORD coords="880,2810,1096,2754,2809">mistos</WORD>
<WORD coords="1135,2823,1149,2799,2818">,</WORD>
<WORD coords="1194,2813,1231,2755,2812">ó</WORD>
<WORD coords="1282,2811,1360,2774,2809">un</WORD>
<WORD coords="1420,2809,1603,2754,2808">misto</WORD>
<WORD coords="1662,2826,1770,2771,2806">por</WORD>
<WORD coords="1821,2806,1904,2770,2806">un</WORD>
<WORD coords="1961,2805,2172,2762,2803">entero</WORD>
<WORD coords="2222,2825,2260,2769,2816">y</WORD>
<WORD coords="2316,2804,2366,2751,2803">al</WORD>
<WORD coords="2435,2802,2577,2767,2800">con-</WORD>
</LINE>
<LINE>
<WORD coords="218,2919,410,2863,2917">trario</WORD>
<WORD coords="447,2931,461,2908,2925">,</WORD>
<WORD coords="526,2919,561,2866,2919">ó</WORD>
<WORD coords="619,2919,698,2882,2918">un</WORD>
<WORD coords="750,2918,933,2863,2916">misto</WORD>
<WORD coords="986,2933,1093,2880,2917">por</WORD>
<WORD coords="1140,2919,1218,2882,2917">un</WORD>
<WORD coords="1282,2937,1601,2860,2915">quebrado</WORD>
<WORD coords="1647,2934,1685,2880,2923">y</WORD>
<WORD coords="1740,2911,1792,2861,2911">al</WORD>
<WORD coords="1856,2913,2163,2857,2911">contrario</WORD>
<WORD coords="2200,2910,2212,2876,2911">:</WORD>
<WORD coords="2274,2910,2337,2875,2909">se</WORD>
<WORD coords="2404,2909,2577,2854,2907">redu-</WORD>
</LINE>
<LINE>
<WORD coords="213,3030,365,2989,3026">cirá</WORD>
<WORD coords="412,3027,467,2971,3026">el</WORD>
<WORD coords="512,3027,757,2988,3026">numero</WORD>
<WORD coords="816,3026,991,2974,3025">misto</WORD>
<WORD coords="1053,3025,1087,2991,3025">a</WORD>
<WORD coords="1143,3025,1199,2970,3024">la</WORD>
<WORD coords="1257,3047,1485,2969,3024">especie</WORD>
<WORD coords="1546,3023,1640,2968,3022">del</WORD>
<WORD coords="1684,3046,1979,2965,3020">quebrado</WORD>
<WORD coords="2041,3042,2151,2982,3018">que</WORD>
<WORD coords="2196,3016,2246,2964,3016">ie</WORD>
<WORD coords="2304,3036,2575,2972,3014">acompa-</WORD>
</LINE>
<LINE>
<WORD coords="216,3137,300,3095,3133">ña</WORD>
<WORD coords="330,3145,344,3123,3145">,</WORD>
<WORD coords="408,3151,441,3098,3142">y</WORD>
<WORD coords="492,3134,543,3080,3133">la</WORD>
<WORD coords="592,3151,917,3078,3132">operación</WORD>
<WORD coords="976,3153,1242,3079,3133">quedara</WORD>
<WORD coords="1306,3133,1607,3077,3131">reducida</WORD>
<WORD coords="1656,3131,1686,3095,3131">a</WORD>
<WORD coords="1735,3150,1958,3073,3128">alguna</WORD>
<WORD coords="2017,3127,2093,3070,3126">de</WORD>
<WORD coords="2159,3126,2243,3070,3125">las</WORD>
<WORD coords="2320,3142,2436,3086,3122">que</WORD>
<WORD coords="2500,3142,2580,3084,3124">ya</WORD>
</LINE>
<LINE>
<WORD coords="213,3243,494,3193,3241">tenemos</WORD>
<WORD coords="548,3243,912,3186,3241">enseñadas,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="681,3434,1259,3363,3421">QUEBRADOS</WORD>
<WORD coords="1322,3421,1441,3362,3420">DE</WORD>
<WORD coords="1507,3432,2107,3357,3417">QUEBRADOS,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="302,3602,437,3547,3601">129.</WORD>
<WORD coords="537,3617,861,3543,3599">Quebrado</WORD>
<WORD coords="911,3601,981,3547,3599">de</WORD>
<WORD coords="1010,3618,1309,3545,3600">quebrado</WORD>
<WORD coords="1363,3597,1423,3562,3596">es</WORD>
<WORD coords="1456,3596,1511,3541,3596">el</WORD>
<WORD coords="1537,3619,1649,3560,3596">que</WORD>
<WORD coords="1701,3617,1947,3550,3593">espresa</WORD>
<WORD coords="1973,3613,2185,3547,3590">partes</WORD>
<WORD coords="2218,3594,2289,3539,3593">de</WORD>
<WORD coords="2347,3617,2573,3539,3593">¡apir-</WORD>
</LINE>
<LINE>
<WORD coords="212,3712,271,3659,3712">U</WORD>
<WORD coords="313,3712,384,3654,3710">de</WORD>
<WORD coords="423,3709,481,3653,3709">la</WORD>
<WORD coords="539,3712,773,3655,3708">unidad</WORD>
<WORD coords="801,3725,818,3696,3725">y</WORD>
<WORD coords="866,3708,952,3655,3707">asi</WORD>
<WORD coords="1002,3707,1064,3672,3706">es</WORD>
<WORD coords="1112,3710,1146,3664,3708">2</WORD>
<WORD coords="1194,3707,1271,3654,3706">de</WORD>
<WORD coords="1353,3709,1378,3662,3707">1</WORD>
<WORD coords="1433,3705,1507,3652,3705">de</WORD>
<WORD coords="1588,3698,1618,3652,3703">3</WORD>
<WORD coords="1678,3703,1753,3646,3702">de</WORD>
<WORD coords="1794,3703,1817,3656,3704">1</WORD>
<WORD coords="1858,3723,2002,3664,3702">peso</WORD>
<WORD coords="2051,3716,2162,3643,3700">di*</WORD>
<WORD coords="2172,3702,2231,3663,3703">o.</WORD>
<WORD coords="2326,3704,2419,3642,3702">En</WORD>
<WORD coords="2451,3700,2578,3659,3699">esta</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1114,3811,1165,3737,3809">íT</WORD>
<WORD coords="1350,3816,1388,3767,3811">2</WORD>
<WORD coords="1580,3809,1619,3763,3809">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="210,3914,531,3839,3896">espresion</WORD>
<WORD coords="579,3896,641,3859,3895">se</WORD>
<WORD coords="692,3895,830,3840,3894">dice</WORD>
<WORD coords="890,3913,1007,3861,3896">que</WORD>
<WORD coords="1042,3897,1116,3841,3897">de</WORD>
<WORD coords="1159,3896,1182,3847,3896">1</WORD>
<WORD coords="1246,3914,1388,3855,3891">peso</WORD>
<WORD coords="1443,3891,1505,3856,3890">se</WORD>
<WORD coords="1553,3893,1673,3834,3892">ha.i</WORD>
<WORD coords="1730,3890,1986,3835,3888">tomado</WORD>
<WORD coords="2050,3888,2082,3839,3890">3</WORD>
<WORD coords="2145,3888,2385,3846,3886">cuartas</WORD>
<WORD coords="2438,3906,2569,3840,3889">parf</WORD>
</LINE>
<LINE>
<WORD coords="212,3999,300,3953,3997">tco</WORD>
<WORD coords="364,4002,400,3949,4002">ü</WORD>
<WORD coords="467,4002,503,3952,4002">6</WORD>
<WORD coords="563,4006,757,3953,4004">reales</WORD>
<WORD coords="784,4023,810,3970,4023">¿</WORD>
<WORD coords="866,4024,985,3968,4005">que</WORD>
<WORD coords="1046,4003,1123,3955,4003">de</WORD>
<WORD coords="1185,4001,1349,3961,4000">estos</WORD>
<WORD coords="1401,3998,1438,3947,3998">6</WORD>
<WORD coords="1490,4002,1686,3944,3999">reales</WORD>
<WORD coords="1747,3998,1810,3961,3997">se</WORD>
<WORD coords="1894,3998,1972,3938,3997">ha</WORD>
<WORD coords="2033,3997,2282,3938,3995">tomado</WORD>
<WORD coords="2342,3993,2396,3940,3992">la</WORD>
<WORD coords="2459,3992,2569,3935,3991">n.i-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0085.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0086.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0086.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="3062,956,3100,904,956">i</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1864,470,2004,380,470">T6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="736,568,842,512,567">tad</WORD>
<WORD coords="888,584,916,536,584">q</WORD>
<WORD coords="930,572,1004,534,571">ue</WORD>
<WORD coords="1052,574,1162,536,573">son</WORD>
<WORD coords="1214,576,1248,526,586">3</WORD>
<WORD coords="1298,604,1538,524,578">reales,</WORD>
<WORD coords="1594,606,1634,548,606">y</WORD>
<WORD coords="1696,608,1816,550,591">que</WORD>
<WORD coords="1876,596,1956,540,595">de</WORD>
<WORD coords="2000,602,2166,554,598">estos</WORD>
<WORD coords="2216,604,2250,550,604">3</WORD>
<WORD coords="2314,608,2414,568,607">re3</WORD>
<WORD coords="2422,608,2440,552,608">?</WORD>
<WORD coords="2446,616,2512,576,614">eS</WORD>
<WORD coords="2570,616,2638,578,615">se</WORD>
<WORD coords="2684,620,2804,560,620">han</WORD>
<WORD coords="2850,640,3112,570,627">tomad©</WORD>
</LINE>
<LINE>
<WORD coords="734,676,768,626,691">2</WORD>
<WORD coords="826,682,1056,634,678">tercios</WORD>
<WORD coords="1106,702,1224,648,684">que</WORD>
<WORD coords="1272,686,1380,652,686">son</WORD>
<WORD coords="1416,690,1450,642,698">2</WORD>
<WORD coords="1506,698,1726,636,692">reales.</WORD>
<WORD coords="1824,700,1918,642,699">De</WORD>
<WORD coords="1978,708,2170,652,706">módo</WORD>
<WORD coords="2222,732,2346,676,715">que</WORD>
<WORD coords="2398,722,2546,662,718">toda</WORD>
<WORD coords="2594,726,2648,670,724">la</WORD>
<WORD coords="2690,750,3008,678,731">espresion</WORD>
<WORD coords="3040,740,3120,618,739">eS</WORD>
</LINE>
<LINE>
<WORD coords="730,802,900,738,781">igual</WORD>
<WORD coords="958,784,982,750,784">a</WORD>
<WORD coords="1032,786,1068,740,791">2</WORD>
<WORD coords="1126,790,1320,736,789">reales</WORD>
<WORD coords="1372,794,1408,740,795">ó</WORD>
<WORD coords="1474,798,1496,750,797">1</WORD>
<WORD coords="1564,804,1780,758,801">cuarto</WORD>
<WORD coords="1826,808,1904,750,807">de</WORD>
<WORD coords="1964,828,2138,776,812">peso.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="818,896,956,842,897">130.</WORD>
<WORD coords="1062,896,1240,840,895">Probl</WORD>
<WORD coords="1308,920,1348,864,921">y</WORD>
<WORD coords="1396,910,1660,848,903">resoluc.</WORD>
<WORD coords="1714,914,1880,854,912">Para</WORD>
<WORD coords="1928,922,2174,862,919">reducir</WORD>
<WORD coords="2202,948,2538,870,930">quebrados</WORD>
<WORD coords="2596,942,2668,882,940">de</WORD>
<WORD coords="2696,962,3030,884,942">quebrados</WORD>
<WORD coords="3060,950,3076,928,950">,</WORD>
</LINE>
<LINE>
<WORD coords="726,998,806,960,998">un</WORD>
<WORD coords="868,1008,1168,944,999">quebrado</WORD>
<WORD coords="1212,1010,1424,968,1006">común</WORD>
<WORD coords="1460,1026,1476,998,1026">,</WORD>
<WORD coords="1536,1014,1602,976,1013">se</WORD>
<WORD coords="1664,1042,2050,964,1021">multiplican</WORD>
<WORD coords="2108,1034,2290,976,1031">todos</WORD>
<WORD coords="2348,1038,2438,980,1036">los</WORD>
<WORD coords="2494,1054,2940,994,1047">numeradores</WORD>
<WORD coords="2996,1054,3102,1018,1054">en-</WORD>
</LINE>
<LINE>
<WORD coords="724,1106,818,1060,1104">tre</WORD>
<WORD coords="878,1110,932,1070,1109">si</WORD>
<WORD coords="1010,1130,1052,1074,1132">y</WORD>
<WORD coords="1110,1112,1238,1068,1110">este</WORD>
<WORD coords="1296,1132,1600,1060,1117">producto</WORD>
<WORD coords="1652,1124,1720,1086,1124">es</WORD>
<WORD coords="1774,1130,1828,1074,1128">el</WORD>
<WORD coords="1886,1142,2262,1082,1135">numerador</WORD>
<WORD coords="2314,1144,2412,1086,1144">del</WORD>
<WORD coords="2466,1168,2784,1096,1151">quebrado</WORD>
<WORD coords="2818,1164,3042,1120,1157">común</WORD>
<WORD coords="3078,1176,3100,1128,1176">j</WORD>
</LINE>
<LINE>
<WORD coords="722,1232,992,1154,1214">d.spues</WORD>
<WORD coords="1042,1218,1106,1180,1216">se</WORD>
<WORD coords="1170,1240,1554,1164,1222">multiplican</WORD>
<WORD coords="1602,1238,1784,1174,1235">todos</WORD>
<WORD coords="1844,1240,1934,1182,1238">los</WORD>
<WORD coords="1990,1256,2510,1186,1247">denominadores</WORD>
<WORD coords="2566,1276,2606,1220,1268">y</WORD>
<WORD coords="2662,1260,2716,1202,1259">el</WORD>
<WORD coords="2788,1282,3100,1210,1266">producto</WORD>
</LINE>
<LINE>
<WORD coords="718,1318,784,1282,1318">es</WORD>
<WORD coords="838,1320,892,1266,1320">el</WORD>
<WORD coords="950,1332,1422,1266,1324">denominador.</WORD>
<WORD coords="1518,1336,1594,1278,1339">£1</WORD>
<WORD coords="1646,1358,1968,1286,1343">quebrado</WORD>
<WORD coords="2022,1354,2252,1312,1350">común</WORD>
<WORD coords="2316,1376,2434,1322,1359">que</WORD>
<WORD coords="2488,1366,2718,1310,1363">resulte</WORD>
<WORD coords="2756,1380,2774,1356,1375">,</WORD>
<WORD coords="2822,1370,2888,1334,1370">se</WORD>
<WORD coords="2946,1374,3100,1314,1373">sim-</WORD>
</LINE>
<LINE>
<WORD coords="718,1446,1038,1370,1428">plificará,</WORD>
<WORD coords="1092,1452,1236,1394,1434">para</WORD>
<WORD coords="1298,1438,1358,1380,1437">lo</WORD>
<WORD coords="1416,1460,1534,1404,1442">que</WORD>
<WORD coords="1604,1448,1738,1410,1445">sera</WORD>
<WORD coords="1800,1476,2002,1396,1452">mejor</WORD>
<WORD coords="2078,1464,2320,1400,1460">indicar</WORD>
<WORD coords="2386,1468,2472,1410,1467">las</WORD>
<WORD coords="2532,1494,3096,1418,1476">multiplicaciones</WORD>
</LINE>
<LINE>
<WORD coords="710,1552,754,1494,1552">y</WORD>
<WORD coords="804,1558,1104,1484,1536">suprimir</WORD>
<WORD coords="1150,1546,1418,1482,1543">factores</WORD>
<WORD coords="1466,1558,1786,1510,1552">comunes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="958,1670,1258,1586,1648">Ejemplo.</WORD>
<WORD coords="1354,1654,1430,1596,1654">El</WORD>
<WORD coords="1482,1676,1800,1606,1661">quebrado</WORD>
<WORD coords="1864,1666,1900,1618,1669">2</WORD>
<WORD coords="1960,1670,2038,1612,1670">de</WORD>
<WORD coords="2070,1718,2120,1620,1695">Jf</WORD>
<WORD coords="2180,1676,2258,1616,1675">de</WORD>
<WORD coords="2348,1678,2382,1628,1677">3</WORD>
<WORD coords="2430,1684,2506,1622,1683">de</WORD>
<WORD coords="2548,1686,2572,1634,1686">1</WORD>
<WORD coords="2626,1708,2774,1648,1688">peso</WORD>
<WORD coords="2818,1692,2882,1652,1692">es</WORD>
<WORD coords="2916,1714,3090,1628,1693">igual</WORD>
</LINE>
<LINE>
<WORD coords="1856,1772,1906,1696,1754">3*</WORD>
<WORD coords="2082,1780,2130,1702,1772">2*</WORD>
<WORD coords="2338,1786,2378,1738,1786">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="700,1866,720,1860,1866">-</WORD>
<WORD coords="702,1830,730,1794,1830">a</WORD>
<WORD coords="746,1866,752,1862,1867">.</WORD>
<WORD coords="794,1834,826,1824,1851">~</WORD>
<WORD coords="858,1836,914,1778,1836">X</WORD>
<WORD coords="952,1838,974,1788,1838">1</WORD>
<WORD coords="1016,1838,1072,1780,1838">X</WORD>
<WORD coords="1106,1836,1138,1786,1836">3</WORD>
<WORD coords="1170,1856,1186,1826,1864">&apos;</WORD>
<WORD coords="1240,1862,1280,1802,1865">y</WORD>
<WORD coords="1326,1864,1756,1786,1847">suprimiendo</WORD>
<WORD coords="1822,1856,1914,1798,1855">los</WORD>
<WORD coords="1968,1870,2244,1800,1862">factores</WORD>
<WORD coords="2288,1866,2324,1820,1867">2</WORD>
<WORD coords="2382,1890,2424,1832,1882">y</WORD>
<WORD coords="2480,1874,2514,1820,1874">3</WORD>
<WORD coords="2562,1876,2638,1836,1875">en</WORD>
<WORD coords="2684,1882,2900,1822,1879">ambos</WORD>
<WORD coords="2948,1888,3074,1836,1886">ter»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="788,1946,1130,1884,1943">3X2X4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="696,2028,900,1968,2025">minos</WORD>
<WORD coords="930,2044,948,2014,2043">,</WORD>
<WORD coords="1000,2034,1234,1974,2031">resulta</WORD>
<WORD coords="1284,2036,1342,1976,2035">el</WORD>
<WORD coords="1398,2056,1720,1980,2038">quebrado</WORD>
<WORD coords="1766,2048,1994,2006,2045">común</WORD>
<WORD coords="2048,2052,2070,2000,2052">1</WORD>
<WORD coords="2124,2060,2202,1998,2058">de</WORD>
<WORD coords="2250,2078,2424,2018,2058">peso.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2020,2158,2080,2080,2125">4*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="942,2228,1434,2162,2221">Demostración.</WORD>
<WORD coords="1520,2232,1762,2168,2230">Tomar</WORD>
<WORD coords="1814,2236,1840,2184,2239">1</WORD>
<WORD coords="1880,2260,2150,2186,2240">segundo</WORD>
<WORD coords="2196,2248,2274,2190,2248">de</WORD>
<WORD coords="2322,2250,2356,2202,2250">3</WORD>
<WORD coords="2412,2256,2658,2208,2253">cuartos</WORD>
<WORD coords="2712,2262,2790,2202,2261">de</WORD>
<WORD coords="2836,2266,2916,2226,2265">un</WORD>
<WORD coords="2956,2284,3062,2228,2270">pe-</WORD>
</LINE>
<LINE>
<WORD coords="686,2328,762,2286,2325">so</WORD>
<WORD coords="790,2338,804,2312,2344">,</WORD>
<WORD coords="854,2328,920,2288,2327">es</WORD>
<WORD coords="986,2346,1174,2274,2330">partir</WORD>
<WORD coords="1220,2334,1310,2278,2332">los</WORD>
<WORD coords="1376,2336,1406,2286,2343">3</WORD>
<WORD coords="1456,2342,1706,2294,2340">cuartos</WORD>
<WORD coords="1766,2366,1874,2312,2348">por</WORD>
<WORD coords="1922,2356,2118,2298,2353">mitad</WORD>
<WORD coords="2176,2360,2212,2304,2360">ó</WORD>
<WORD coords="2278,2382,2388,2324,2362">por</WORD>
<WORD coords="2446,2368,2482,2318,2368">2</WORD>
<WORD coords="2518,2384,2532,2358,2384">,</WORD>
<WORD coords="2570,2388,2608,2334,2379">y</WORD>
<WORD coords="2668,2370,2796,2326,2369">esta</WORD>
<WORD coords="2858,2380,3056,2320,2375">mitad</WORD>
</LINE>
<LINE>
<WORD coords="684,2436,944,2376,2429">tomarla</WORD>
<WORD coords="1004,2440,1126,2400,2438">una</WORD>
<WORD coords="1202,2442,1316,2402,2441">vez</WORD>
<WORD coords="1376,2444,1416,2388,2452">ó</WORD>
<WORD coords="1466,2470,1906,2396,2451">multiplicarla</WORD>
<WORD coords="1970,2478,2080,2424,2460">por</WORD>
<WORD coords="2128,2482,2208,2416,2476">1;</WORD>
<WORD coords="2270,2486,2412,2432,2470">para</WORD>
<WORD coords="2458,2492,2710,2430,2473">tomar,</WORD>
<WORD coords="2760,2492,2908,2440,2480">pues</WORD>
<WORD coords="2940,2488,2958,2464,2487">.</WORD>
<WORD coords="2998,2486,3056,2428,2484">la</WORD>
</LINE>
<LINE>
<WORD coords="678,2540,878,2482,2537">mitad</WORD>
<WORD coords="924,2544,1004,2488,2543">de</WORD>
<WORD coords="1054,2586,1134,2494,2564">3_,</WORD>
<WORD coords="1198,2570,1754,2492,2553">multiplicaremos</WORD>
<WORD coords="1816,2566,1890,2528,2564">su</WORD>
<WORD coords="1936,2578,2390,2510,2572">denomidador</WORD>
<WORD coords="2442,2580,2486,2530,2580">4</WORD>
<WORD coords="2540,2602,2654,2546,2583">por</WORD>
<WORD coords="2708,2586,2746,2534,2586">2</WORD>
<WORD coords="2818,2608,2858,2548,2596">y</WORD>
<WORD coords="2916,2594,3052,2532,2587">será</WORD>
</LINE>
<LINE>
<WORD coords="1044,2650,1088,2600,2650">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="676,2729,734,2672,2736">«1</WORD>
<WORD coords="806,2732,1084,2674,2730">cociente</WORD>
<WORD coords="1123,2778,1208,2684,2778">J</WORD>
<WORD coords="1268,2717,1288,2705,2735">»</WORD>
<WORD coords="1335,2761,1375,2703,2757">y</WORD>
<WORD coords="1422,2745,1603,2705,2743">como</WORD>
<WORD coords="1658,2751,1785,2704,2750">esta</WORD>
<WORD coords="1816,2757,2012,2699,2755">mitad</WORD>
<WORD coords="2044,2760,2110,2723,2759">se</WORD>
<WORD coords="2155,2765,2318,2703,2763">hade</WORD>
<WORD coords="2348,2771,2551,2722,2768">tomar</WORD>
<WORD coords="2599,2774,2625,2725,2774">1</WORD>
<WORD coords="2679,2778,2801,2737,2775">vez</WORD>
<WORD coords="2830,2786,2847,2763,2782">,</WORD>
<WORD coords="2883,2779,3039,2720,2778">muí-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1096,2844,1246,2770,2844">2XÍ</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="670,2940,1098,2862,2921">tiplicaremrs</WORD>
<WORD coords="1149,2928,1223,2890,2926">bu</WORD>
<WORD coords="1269,2937,1651,2878,2933">numerador</WORD>
<WORD coords="1712,2959,1815,2903,2939">po»</WORD>
<WORD coords="1872,2944,1897,2895,2944">1</WORD>
<WORD coords="1934,2966,1971,2910,2961">y</WORD>
<WORD coords="2024,2956,2389,2894,2951">tendremos</WORD>
<WORD coords="2444,2959,2578,2901,2959">lX3</WORD>
<WORD coords="2626,2975,2735,2934,2975">=</WORD>
<WORD coords="2783,2965,2805,2915,2965">1</WORD>
<WORD coords="2859,2968,2936,2909,2967">de</WORD>
<WORD coords="2985,2968,3044,2915,2964">S.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2431,3066,2581,3009,3065">2X4</WORD>
<WORD coords="2760,3071,2814,2999,3062">~2</WORD>
<WORD coords="2974,3072,3033,2993,3072">í</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="917,3116,1141,3059,3115">Ahors</WORD>
<WORD coords="1175,3136,1195,3066,3135">¡</WORD>
<WORD coords="1237,3122,1420,3081,3120">como</WORD>
<WORD coords="1468,3125,1545,3064,3124">de</WORD>
<WORD coords="1603,3130,1736,3083,3127">tste</WORD>
<WORD coords="1780,3148,2102,3077,3134">quebrado</WORD>
<WORD coords="2160,3144,2388,3103,3141">común</WORD>
<WORD coords="2452,3165,2569,3112,3148">que</WORD>
<WORD coords="2629,3149,2693,3115,3148">es</WORD>
<WORD coords="2740,3172,2905,3098,3152">igual</WORD>
<WORD coords="2980,3163,3039,3105,3155">a!</WORD>
</LINE>
<LINE>
<WORD coords="844,3235,1162,3165,3220">qutbrado</WORD>
<WORD coords="1220,3226,1296,3172,3225">de</WORD>
<WORD coords="1349,3250,1719,3176,3232">quebrado,</WORD>
<WORD coords="1796,3238,1859,3204,3238">se</WORD>
<WORD coords="1915,3246,2121,3185,3243">hande</WORD>
<WORD coords="2186,3251,2389,3203,3248">tomar</WORD>
<WORD coords="2459,3254,2550,3199,3253">los</WORD>
<WORD coords="2619,3257,2654,3210,3257">2</WORD>
<WORD coords="2725,3262,2945,3207,3258">tercios</WORD>
<WORD coords="2992,3264,3033,3208,3264">ó</WORD>
</LINE>
<LINE>
<WORD coords="659,3324,933,3275,3320">terceras</WORD>
<WORD coords="984,3342,1182,3286,3327">partes</WORD>
<WORD coords="1218,3345,1232,3321,3346">,</WORD>
<WORD coords="1288,3338,1568,3291,3335">tenemos</WORD>
<WORD coords="1620,3359,1739,3307,3344">que</WORD>
<WORD coords="1799,3346,1988,3289,3345">h.cer</WORD>
<WORD coords="2066,3353,2174,3297,3350">do.</WORD>
<WORD coords="2230,3373,2628,3303,3358">operaciones</WORD>
<WORD coords="2664,3364,2677,3329,3364">:</WORD>
<WORD coords="2729,3378,2890,3329,3363">una,</WORD>
<WORD coords="2934,3366,3027,3323,3365">to-</WORD>
</LINE>
<LINE>
<WORD coords="659,3404,852,3366,3402">mane</WORD>
<WORD coords="904,3408,958,3355,3407">el</WORD>
<WORD coords="1010,3412,1208,3365,3409">tercio</WORD>
<WORD coords="1267,3414,1304,3360,3419">ó</WORD>
<WORD coords="1354,3420,1591,3362,3418">dividir</WORD>
<WORD coords="1631,3423,1683,3386,3423">es</WORD>
<WORD coords="1732,3443,2051,3374,3428">quebrado</WORD>
<WORD coords="2104,3450,2215,3398,3435">por</WORD>
<WORD coords="2270,3436,2303,3389,3436">3</WORD>
<WORD coords="2340,3453,2354,3428,3453">,</WORD>
<WORD coords="2399,3458,2436,3404,3451">y</WORD>
<WORD coords="2497,3444,2628,3400,3441">otra</WORD>
<WORD coords="2664,3460,2682,3432,3452">,</WORD>
<WORD coords="2730,3445,2929,3403,3443">tomar</WORD>
<WORD coords="2989,3449,3027,3400,3449">2</WORD>
</LINE>
<LINE>
<WORD coords="662,3485,843,3444,3484">Veces</WORD>
<WORD coords="906,3489,941,3454,3489">o</WORD>
<WORD coords="1017,3512,1391,3452,3493">n-i:it¡piicar</WORD>
<WORD coords="1445,3518,1551,3466,3500">por</WORD>
<WORD coords="1583,3505,1616,3460,3507">2</WORD>
<WORD coords="1666,3507,1719,3457,3507">el</WORD>
<WORD coords="1768,3512,1959,3456,3510">tercio</WORD>
<WORD coords="2013,3524,2131,3480,3514">que</WORD>
<WORD coords="2196,3518,2256,3480,3516">re</WORD>
<WORD coords="2268,3520,2331,3484,3518">su</WORD>
<WORD coords="2368,3521,2444,3484,3520">te.</WORD>
<WORD coords="2536,3524,2626,3469,3523">La</WORD>
<WORD coords="2685,3532,2805,3478,3527">l.«</WORD>
<WORD coords="2885,3530,3031,3492,3528">ore-</WORD>
</LINE>
<LINE>
<WORD coords="655,3568,869,3528,3566">ración</WORD>
<WORD coords="935,3588,1136,3522,3572">queda</WORD>
<WORD coords="1212,3601,1577,3523,3581">ejecutada,</WORD>
<WORD coords="1629,3605,2101,3539,3591">multiplicando</WORD>
<WORD coords="2177,3600,2246,3566,3599">su</WORD>
<WORD coords="2308,3609,2763,3548,3604">denominador</WORD>
<WORD coords="2816,3624,2920,3574,3608">por</WORD>
<WORD coords="2979,3612,3014,3560,3612">3</WORD>
</LINE>
<LINE>
<WORD coords="654,3693,852,3615,3674">lüqne</WORD>
<WORD coords="891,3677,964,3624,3676">da</WORD>
<WORD coords="1069,3682,1091,3635,3682">1</WORD>
<WORD coords="1148,3698,1216,3637,3707">y</WORD>
<WORD coords="1271,3687,1304,3637,3687">3</WORD>
<WORD coords="1364,3733,1400,3639,3724">&gt;</WORD>
<WORD coords="1433,3710,1471,3656,3710">Y</WORD>
<WORD coords="1511,3693,1562,3647,3692">ia</WORD>
<WORD coords="1787,3724,2259,3649,3704">multiplicando</WORD>
<WORD coords="2293,3713,2363,3675,3712">su</WORD>
<WORD coords="2399,3721,2776,3662,3716">numerador</WORD>
<WORD coords="2818,3740,2831,3686,3729">,</WORD>
<WORD coords="2857,3719,2920,3683,3718">or</WORD>
<WORD coords="2959,3738,3021,3672,3729">2,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="662,3862,723,3797,3859">Jo</WORD>
<WORD coords="784,3878,903,3831,3865">que</WORD>
<WORD coords="963,3867,1072,3833,3866">nos</WORD>
<WORD coords="1131,3871,1203,3818,3870">da</WORD>
<WORD coords="1274,3874,1325,3824,3872">ti</WORD>
<WORD coords="1378,3895,1695,3825,3881">quebrado</WORD>
<WORD coords="1747,3893,1969,3852,3888">común</WORD>
<WORD coords="2032,3927,2176,3844,3902">g_y</WORD>
<WORD coords="2230,3897,2251,3848,3897">t</WORD>
<WORD coords="2300,3911,2367,3848,3911">X</WORD>
<WORD coords="2421,3903,2477,3854,3902">3.</WORD>
<WORD coords="2567,3930,2777,3848,3906">Ztt^&lt;?</WORD>
</LINE>
<LINE>
<WORD coords="658,3973,892,3915,3972">rrúfoci/</WORD>
<WORD coords="934,3997,1266,3921,3977">quebrado*</WORD>
<WORD coords="1300,3988,1421,3925,3985">&amp;t,</WORD>
<WORD coords="1455,3988,1530,3930,3986">L.</WORD>
<WORD coords="1574,4004,1654,3933,3998">Q.</WORD>
<WORD coords="1697,3999,1776,3938,3995">D.</WORD>
<WORD coords="1818,4000,1901,3942,3998">D.</WORD>
<WORD coords="2034,4028,2484,3923,4007">S^T^V</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0086.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0087.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0087.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1396,477,1531,387,476">77</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="733,596,1312,533,591">VALUACION</WORD>
<WORD coords="1389,594,1509,541,593">Dfcl</WORD>
<WORD coords="1589,608,2197,539,597">QUEBRADOS.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="369,773,509,711,772">Í30.</WORD>
<WORD coords="608,770,828,713,768">Valuar</WORD>
<WORD coords="858,793,1192,711,766">quebrados</WORD>
<WORD coords="1241,768,1303,733,767">es</WORD>
<WORD coords="1356,790,1729,719,770">espresarlos</WORD>
<WORD coords="1760,776,1918,737,774">como</WORD>
<WORD coords="1954,779,2191,734,777">enteros</WORD>
<WORD coords="2224,796,2241,770,796">,</WORD>
<WORD coords="2266,802,2411,737,781">pero</WORD>
<WORD coords="2456,805,2643,746,785">cuya*</WORD>
</LINE>
<LINE>
<WORD coords="285,878,578,819,875">unidades</WORD>
<WORD coords="628,896,953,817,875">inferiores</WORD>
<WORD coords="982,895,1246,828,872">respecto</WORD>
<WORD coords="1279,874,1351,819,874">de</WORD>
<WORD coords="1379,899,1614,823,875">aquella</WORD>
<WORD coords="1658,877,1693,843,877">a</WORD>
<WORD coords="1725,903,1836,845,880">que</WORD>
<WORD coords="1864,882,1929,847,881">se</WORD>
<WORD coords="1962,906,2177,828,886">refiere</WORD>
<WORD coords="2215,889,2270,835,888">el</WORD>
<WORD coords="2322,912,2644,837,889">quebrado^</WORD>
</LINE>
<LINE>
<WORD coords="280,983,430,943,982">sean</WORD>
<WORD coords="502,982,595,926,981">las</WORD>
<WORD coords="652,1005,765,945,980">que</WORD>
<WORD coords="824,1002,962,922,978">tlije</WORD>
<WORD coords="1010,980,1067,927,979">el</WORD>
<WORD coords="1107,983,1467,923,979">calculador.</WORD>
<WORD coords="1558,982,1622,928,982">Si</WORD>
<WORD coords="1670,985,1744,949,984">en</WORD>
<WORD coords="1801,987,1858,934,986">el</WORD>
<WORD coords="1938,1009,2252,935,992">quebrado</WORD>
<WORD coords="2300,998,2331,950,997">3</WORD>
<WORD coords="2367,997,2441,942,996">de</WORD>
<WORD coords="2490,1017,2641,960,996">peso</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2297,1106,2329,1059,1106">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="274,1190,427,1112,1168">elijo</WORD>
<WORD coords="483,1189,565,1132,1171">yo</WORD>
<WORD coords="613,1190,724,1133,1169">por</WORD>
<WORD coords="781,1173,1016,1114,1170">unidad</WORD>
<WORD coords="1068,1170,1121,1113,1169">el</WORD>
<WORD coords="1175,1170,1400,1113,1168">mismo</WORD>
<WORD coords="1460,1175,1909,1116,1173">denominador</WORD>
<WORD coords="1954,1186,2175,1124,1179">ochavo</WORD>
<WORD coords="2236,1188,2273,1132,1187">ó</WORD>
<WORD coords="2310,1187,2441,1128,1185">real</WORD>
<WORD coords="2464,1202,2481,1173,1202">,</WORD>
<WORD coords="2515,1204,2636,1148,1186">que</WORD>
</LINE>
<LINE>
<WORD coords="274,1276,604,1218,1274">llamamos</WORD>
<WORD coords="664,1277,737,1241,1277">en</WORD>
<WORD coords="795,1277,851,1222,1276">el</WORD>
<WORD coords="900,1277,1209,1220,1276">comercio</WORD>
<WORD coords="1246,1292,1262,1264,1287">,</WORD>
<WORD coords="1316,1277,1502,1218,1276">dicho</WORD>
<WORD coords="1552,1296,1865,1224,1280">quebrado</WORD>
<WORD coords="1921,1287,1986,1246,1284">es</WORD>
<WORD coords="2040,1306,2207,1228,1287">igual</WORD>
<WORD coords="2259,1290,2291,1254,1290">a</WORD>
<WORD coords="2348,1289,2383,1239,1289">3</WORD>
<WORD coords="2433,1297,2627,1244,1293">reales</WORD>
</LINE>
<LINE>
<WORD coords="268,1400,312,1340,1391">y</WORD>
<WORD coords="367,1381,502,1325,1380">dirc</WORD>
<WORD coords="553,1402,673,1347,1381">que</WORD>
<WORD coords="730,1383,788,1327,1382">lo</WORD>
<WORD coords="833,1384,911,1325,1383">he</WORD>
<WORD coords="976,1384,1242,1327,1382">valuado</WORD>
<WORD coords="1286,1383,1360,1346,1382">en</WORD>
<WORD coords="1415,1386,1632,1332,1384">reales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="356,1488,426,1438,1487">13</WORD>
<WORD coords="442,1490,493,1439,1493">í.</WORD>
<WORD coords="587,1489,789,1433,1487">Probl.</WORD>
<WORD coords="850,1508,889,1453,1502">y</WORD>
<WORD coords="935,1490,1197,1435,1487">resoluc.</WORD>
<WORD coords="1254,1492,1418,1435,1488">Para</WORD>
<WORD coords="1462,1494,1679,1437,1492">valuar</WORD>
<WORD coords="1754,1520,2087,1440,1498">quebrados</WORD>
<WORD coords="2125,1516,2141,1488,1509">,</WORD>
<WORD coords="2185,1503,2247,1467,1503">se</WORD>
<WORD coords="2286,1526,2633,1449,1505">multiplica</WORD>
</LINE>
<LINE>
<WORD coords="268,1592,325,1536,1591">el</WORD>
<WORD coords="385,1594,766,1537,1592">numerador</WORD>
<WORD coords="826,1613,935,1558,1593">por</WORD>
<WORD coords="995,1594,1049,1539,1593">el</WORD>
<WORD coords="1105,1596,1363,1558,1594">numero</WORD>
<WORD coords="1415,1598,1490,1541,1597">de</WORD>
<WORD coords="1554,1600,1734,1563,1598">veces</WORD>
<WORD coords="1783,1620,1902,1567,1603">que</WORD>
<WORD coords="1961,1605,2014,1550,1603">la</WORD>
<WORD coords="2047,1610,2279,1554,1607">unidad</WORD>
<WORD coords="2335,1620,2622,1554,1612">inferior,</WORD>
</LINE>
<LINE>
<WORD coords="266,1714,386,1662,1697">que</WORD>
<WORD coords="479,1720,622,1641,1698">elije</WORD>
<WORD coords="705,1700,758,1646,1700">el</WORD>
<WORD coords="816,1702,1176,1645,1699">calculador</WORD>
<WORD coords="1204,1715,1222,1688,1705">,</WORD>
<WORD coords="1281,1702,1452,1658,1700">entra</WORD>
<WORD coords="1500,1703,1571,1667,1702">en</WORD>
<WORD coords="1625,1705,1679,1650,1704">la</WORD>
<WORD coords="1741,1710,1973,1652,1707">unidad</WORD>
<WORD coords="2020,1713,2050,1659,1713">á</WORD>
<WORD coords="2108,1713,2163,1661,1712">la</WORD>
<WORD coords="2228,1733,2345,1680,1716">que</WORD>
<WORD coords="2406,1721,2469,1682,1719">se</WORD>
<WORD coords="2525,1724,2622,1684,1723">re-</WORD>
</LINE>
<LINE>
<WORD coords="262,1808,409,1746,1805">fiere</WORD>
<WORD coords="462,1805,517,1749,1804">el</WORD>
<WORD coords="566,1826,885,1750,1806">quebrado</WORD>
<WORD coords="921,1819,936,1775,1816">;</WORD>
<WORD coords="970,1806,1098,1761,1805">este</WORD>
<WORD coords="1158,1824,1460,1752,1806">producto</WORD>
<WORD coords="1510,1811,1574,1773,1810">se</WORD>
<WORD coords="1624,1815,1836,1757,1812">divide</WORD>
<WORD coords="1891,1834,2004,1780,1816">por</WORD>
<WORD coords="2059,1818,2113,1764,1818">el</WORD>
<WORD coords="2174,1831,2630,1765,1825">denominador</WORD>
</LINE>
<LINE>
<WORD coords="260,1932,300,1873,1925">y</WORD>
<WORD coords="345,1910,403,1855,1909">el</WORD>
<WORD coords="450,1912,729,1855,1910">cociente</WORD>
<WORD coords="779,1911,916,1875,1910">sera</WORD>
<WORD coords="963,1911,1017,1857,1910">el</WORD>
<WORD coords="1061,1913,1320,1876,1912">numero</WORD>
<WORD coords="1366,1913,1441,1858,1913">de</WORD>
<WORD coords="1491,1919,1789,1861,1916">unidades</WORD>
<WORD coords="1841,1925,2166,1866,1922">inferiores</WORD>
<WORD coords="2228,1949,2345,1895,1931">que</WORD>
<WORD coords="2405,1935,2468,1899,1934">se</WORD>
<WORD coords="2514,1941,2625,1843,1940">es-</WORD>
</LINE>
<LINE>
<WORD coords="252,2043,481,1957,2020">lieron.</WORD>
<WORD coords="575,2018,639,1961,2017">Si</WORD>
<WORD coords="699,2018,755,1963,2017">el</WORD>
<WORD coords="802,2021,1075,1963,2018">cociente</WORD>
<WORD coords="1128,2020,1191,1985,2019">se</WORD>
<WORD coords="1247,2040,1546,1984,2022">compone</WORD>
<WORD coords="1594,2027,1669,1971,2026">de</WORD>
<WORD coords="1713,2033,1924,1987,2030">enttro</WORD>
<WORD coords="1969,2055,2009,1996,2055">y</WORD>
<WORD coords="2071,2055,2433,1981,2037">qutbrado,</WORD>
<WORD coords="2494,2048,2626,1998,2045">este</WORD>
</LINE>
<LINE>
<WORD coords="258,2138,577,2065,2120">quebrado</WORD>
<WORD coords="629,2123,693,2088,2123">se</WORD>
<WORD coords="766,2126,1021,2068,2125">referirá</WORD>
<WORD coords="1096,2127,1122,2072,2131">á</WORD>
<WORD coords="1181,2129,1235,2073,2128">la</WORD>
<WORD coords="1321,2133,1555,2074,2130">unidad</WORD>
<WORD coords="1632,2138,1887,2076,2135">inferior</WORD>
<WORD coords="1940,2147,2364,2085,2142">últimamente</WORD>
<WORD coords="2431,2155,2625,2092,2151">halla-</WORD>
</LINE>
<LINE>
<WORD coords="255,2229,335,2173,2229">da</WORD>
<WORD coords="412,2249,453,2193,2246">y</WORD>
<WORD coords="531,2230,595,2195,2230">se</WORD>
<WORD coords="683,2232,833,2173,2230">hará</WORD>
<WORD coords="916,2234,1030,2198,2232">con</WORD>
<WORD coords="1108,2235,1163,2179,2233">él</WORD>
<WORD coords="1232,2237,1288,2182,2236">lo</WORD>
<WORD coords="1354,2240,1578,2200,2237">mismo</WORD>
<WORD coords="1678,2262,1798,2207,2242">que</WORD>
<WORD coords="1894,2250,2216,2192,2247">acabamos</WORD>
<WORD coords="2282,2254,2359,2196,2253">de</WORD>
<WORD coords="2437,2263,2625,2199,2259">hacer</WORD>
</LINE>
<LINE>
<WORD coords="257,2334,370,2295,2333">con</WORD>
<WORD coords="416,2334,473,2280,2333">el</WORD>
<WORD coords="518,2354,835,2279,2335">quebrado</WORD>
<WORD coords="883,2341,1171,2284,2338">anterior.</WORD>
<WORD coords="1273,2348,1618,2287,2344">Procedase</WORD>
<WORD coords="1680,2350,1768,2294,2349">asi</WORD>
<WORD coords="1822,2354,1997,2296,2351">hasta</WORD>
<WORD coords="2056,2359,2245,2301,2356">haber</WORD>
<WORD coords="2291,2386,2535,2306,2362">llegado</WORD>
<WORD coords="2581,2371,2616,2332,2371">a</WORD>
</LINE>
<LINE>
<WORD coords="248,2438,339,2382,2437">las</WORD>
<WORD coords="395,2441,646,2386,2439">ultimas</WORD>
<WORD coords="709,2445,1010,2387,2443">unidades</WORD>
<WORD coords="1072,2450,1398,2390,2447">inferiores</WORD>
<WORD coords="1435,2467,1450,2440,2460">,</WORD>
<WORD coords="1503,2454,1580,2396,2453">de</WORD>
<WORD coords="1637,2472,1754,2419,2456">que</WORD>
<WORD coords="1813,2459,1878,2424,2459">se</WORD>
<WORD coords="1928,2482,2227,2424,2462">compone</WORD>
<WORD coords="2338,2469,2393,2414,2468">la</WORD>
<WORD coords="2464,2474,2611,2417,2472">uni-</WORD>
</LINE>
<LINE>
<WORD coords="247,2544,371,2487,2543">dad</WORD>
<WORD coords="436,2568,597,2509,2545">cuyo</WORD>
<WORD coords="652,2548,755,2490,2547">fue</WORD>
<WORD coords="816,2550,871,2495,2550">el</WORD>
<WORD coords="959,2570,1274,2498,2553">quebrado</WORD>
<WORD coords="1358,2575,1672,2504,2558">primitivo</WORD>
<WORD coords="1707,2575,1722,2531,2575">;</WORD>
<WORD coords="1780,2586,1822,2530,2577">y</WORD>
<WORD coords="1899,2569,1949,2513,2568">si</WORD>
<WORD coords="2014,2571,2130,2534,2570">aun</WORD>
<WORD coords="2186,2576,2354,2528,2574">resta</WORD>
<WORD coords="2429,2600,2618,2523,2580">algún</WORD>
</LINE>
<LINE>
<WORD coords="245,2673,610,2597,2651">quebrado,</WORD>
<WORD coords="665,2673,1079,2598,2654">aprocsímese</WORD>
<WORD coords="1142,2678,1251,2622,2657">por</WORD>
<WORD coords="1299,2664,1493,2625,2662">ecceso</WORD>
<WORD coords="1559,2692,1742,2614,2675">(115)</WORD>
<WORD coords="1795,2672,1830,2636,2672">o</WORD>
<WORD coords="1882,2693,1989,2637,2674">por</WORD>
<WORD coords="2047,2701,2295,2621,2681">defecto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,2782,786,2703,2759">Ejemplo.</WORD>
<WORD coords="838,2764,1109,2704,2763">Valuese</WORD>
<WORD coords="1155,2769,1227,2729,2767">en</WORD>
<WORD coords="1281,2771,1476,2715,2769">reales</WORD>
<WORD coords="1510,2773,1565,2718,2772">el</WORD>
<WORD coords="1622,2794,1941,2723,2778">quebrado</WORD>
<WORD coords="1993,2790,2057,2735,2787">í\</WORD>
<WORD coords="2112,2788,2188,2728,2786">de</WORD>
<WORD coords="2223,2809,2389,2751,2791">peso.</WORD>
<WORD coords="2428,2799,2610,2736,2796">Muí-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1991,2894,2064,2842,2892">32</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="244,2964,459,2889,2947">tiplico</WORD>
<WORD coords="505,2948,561,2893,2947">el</WORD>
<WORD coords="620,2952,998,2894,2949">numerador</WORD>
<WORD coords="1040,2957,1105,2903,2959">11</WORD>
<WORD coords="1169,2975,1278,2920,2957">por</WORD>
<WORD coords="1328,2959,1361,2910,2961">8</WORD>
<WORD coords="1410,2964,1608,2906,2962">reales</WORD>
<WORD coords="1665,2985,1783,2929,2968">que</WORD>
<WORD coords="1831,2973,1991,2914,2970">tiene</WORD>
<WORD coords="2051,2977,2129,2939,2975">un</WORD>
<WORD coords="2182,2989,2328,2941,2979">peso</WORD>
<WORD coords="2384,3002,2427,2946,2993">y</WORD>
<WORD coords="2470,2985,2606,2937,2983">ten-</WORD>
</LINE>
<LINE>
<WORD coords="244,3073,324,3016,3051">go</WORD>
<WORD coords="369,3054,442,3005,3058">88</WORD>
<WORD coords="469,3069,484,3022,3069">;</WORD>
<WORD coords="535,3054,662,3009,3052">este</WORD>
<WORD coords="723,3067,1023,3003,3057">producto</WORD>
<WORD coords="1075,3062,1293,3006,3061">divido</WORD>
<WORD coords="1342,3084,1451,3028,3065">por</WORD>
<WORD coords="1501,3068,1555,3014,3067">el</WORD>
<WORD coords="1613,3080,2064,3014,3075">denominador</WORD>
<WORD coords="2097,3084,2171,3033,3083">32</WORD>
<WORD coords="2230,3108,2271,3051,3108">y</WORD>
<WORD coords="2315,3112,2500,3044,3087">tengo</WORD>
<WORD coords="2544,3094,2604,3032,3094">el</WORD>
</LINE>
<LINE>
<WORD coords="245,3160,523,3105,3157">cociente</WORD>
<WORD coords="570,3161,606,3113,3170">2</WORD>
<WORD coords="668,3164,862,3116,3162">reales</WORD>
<WORD coords="917,3190,993,3111,3184">+</WORD>
<WORD coords="1042,3167,1121,3119,3171">24</WORD>
<WORD coords="1177,3157,1282,3141,3168">—</WORD>
<WORD coords="1330,3171,1360,3123,3175">3</WORD>
<WORD coords="1422,3174,1493,3119,3174">de</WORD>
<WORD coords="1550,3181,1699,3121,3176">real.</WORD>
<WORD coords="1754,3203,2009,3124,3182">Ahora,</WORD>
<WORD coords="2042,3197,2227,3135,3190">valúa</WORD>
<WORD coords="2285,3201,2414,3155,3199">este</WORD>
<WORD coords="2450,3221,2603,3162,3202">que-</WORD>
</LINE>
<LINE>
<WORD coords="1030,3276,1104,3228,3276">32</WORD>
<WORD coords="1313,3281,1353,3231,3281">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="243,3348,439,3290,3344">brado</WORD>
<WORD coords="493,3350,570,3293,3349">de</WORD>
<WORD coords="620,3352,747,3296,3351">real</WORD>
<WORD coords="797,3354,870,3317,3354">en</WORD>
<WORD coords="933,3357,1036,3320,3356">sus</WORD>
<WORD coords="1076,3362,1224,3304,3359">unid</WORD>
<WORD coords="1268,3364,1376,3307,3363">des</WORD>
<WORD coords="1424,3372,1748,3309,3368">inferiores</WORD>
<WORD coords="1797,3378,2000,3321,3375">cuales</WORD>
<WORD coords="2060,3383,2169,3345,3381">son</WORD>
<WORD coords="2215,3387,2306,3330,3386">los</WORD>
<WORD coords="2354,3398,2596,3335,3393">medios</WORD>
</LINE>
<LINE>
<WORD coords="244,3454,436,3407,3452">reaíe-</WORD>
<WORD coords="471,3473,493,3424,3473">;</WORD>
<WORD coords="550,3456,668,3421,3456">&gt;ara</WORD>
<WORD coords="720,3458,777,3404,3458">lo</WORD>
<WORD coords="812,3477,929,3426,3461">que</WORD>
<WORD coords="976,3481,1321,3410,3465">multiplico</WORD>
<WORD coords="1377,3471,1429,3423,3470">el</WORD>
<WORD coords="1468,3480,1845,3424,3477">numerador</WORD>
<WORD coords="1876,3482,1908,3433,3482">3</WORD>
<WORD coords="1946,3502,2053,3449,3485">por</WORD>
<WORD coords="2085,3489,2118,3440,3489">2</WORD>
<WORD coords="2153,3502,2168,3479,3502">,</WORD>
<WORD coords="2203,3507,2321,3457,3493">que</WORD>
<WORD coords="2356,3496,2463,3460,3495">son</WORD>
<WORD coords="2504,3502,2592,3449,3498">los</WORD>
</LINE>
<LINE>
<WORD coords="245,3563,487,3504,3561">medios</WORD>
<WORD coords="548,3582,665,3530,3565">que</WORD>
<WORD coords="727,3568,888,3511,3567">tiene</WORD>
<WORD coords="954,3572,1008,3517,3572">el</WORD>
<WORD coords="1070,3587,1236,3519,3572">real,</WORD>
<WORD coords="1285,3578,1341,3522,3577">el</WORD>
<WORD coords="1404,3594,1702,3526,3580">producto</WORD>
<WORD coords="1748,3585,1786,3533,3585">6</WORD>
<WORD coords="1840,3604,2011,3544,3589">parto</WORD>
<WORD coords="2061,3609,2169,3558,3593">por</WORD>
<WORD coords="2212,3598,2251,3548,3598">4</WORD>
<WORD coords="2309,3619,2342,3565,3619">y</WORD>
<WORD coords="2404,3626,2589,3535,3605">fengfc</WORD>
</LINE>
<LINE>
<WORD coords="245,3667,324,3609,3666">de</WORD>
<WORD coords="386,3673,660,3614,3670">cociente</WORD>
<WORD coords="715,3677,743,3627,3683">1</WORD>
<WORD coords="805,3679,991,3624,3678">medio</WORD>
<WORD coords="1043,3682,1171,3627,3680">real</WORD>
<WORD coords="1216,3708,1298,3627,3698">+</WORD>
<WORD coords="1343,3684,1376,3638,3686">2</WORD>
<WORD coords="1430,3685,1505,3630,3685">de</WORD>
<WORD coords="1552,3702,1803,3637,3690">medio;</WORD>
<WORD coords="1852,3697,1979,3653,3696">este</WORD>
<WORD coords="2031,3720,2346,3646,3703">quebrado</WORD>
<WORD coords="2402,3714,2587,3654,3708">vaú*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1350,3790,1390,3741,3790">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="245,3860,321,3817,3855">•n</WORD>
<WORD coords="374,3862,686,3804,3858">cuartillos</WORD>
<WORD coords="723,3878,740,3851,3878">,</WORD>
<WORD coords="772,3886,1236,3810,3867">multiplicando</WORD>
<WORD coords="1283,3875,1354,3840,3874">su</WORD>
<WORD coords="1409,3882,1782,3825,3878">numerador</WORD>
<WORD coords="1828,3883,1861,3836,3883">2</WORD>
<WORD coords="1910,3904,2020,3849,3885">por</WORD>
<WORD coords="2061,3889,2093,3840,3889">2</WORD>
<WORD coords="2129,3894,2437,3837,3892">cuartillos</WORD>
<WORD coords="2467,3907,2583,3858,3896">que</WORD>
</LINE>
<LINE>
<WORD coords="239,3975,413,3921,3973">M%m</WORD>
<WORD coords="474,3977,540,3914,3975">si</WORD>
<WORD coords="587,3977,798,3916,3974">medio</WORD>
<WORD coords="844,3979,969,3923,3977">jeal</WORD>
<WORD coords="1005,3996,1022,3964,3996">,</WORD>
<WORD coords="1061,4001,1102,3943,3995">y</WORD>
<WORD coords="1157,3989,1524,3925,3981">divinando</WORD>
<WORD coords="1578,3990,1633,3934,3990">el</WORD>
<WORD coords="1693,4013,1996,3935,3994">product©</WORD>
<WORD coords="2040,4000,2081,3948,4000">4</WORD>
<WORD coords="2121,4016,2233,3962,4001">por</WORD>
<WORD coords="2291,4002,2348,3950,4001">ti</WORD>
<WORD coords="2399,4002,2588,3947,3999">dtno-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1318,4086,1406,4019,4083">21</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0087.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0088.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0088.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="698,597,991,538,595">minador</WORD>
<WORD coords="1054,599,1095,546,606">4</WORD>
<WORD coords="1153,621,1193,563,617">y</WORD>
<WORD coords="1262,603,1318,547,600">el</WORD>
<WORD coords="1391,605,1668,547,602">cociente</WORD>
<WORD coords="1741,608,1871,572,607">sera</WORD>
<WORD coords="1938,611,1958,567,611">i</WORD>
<WORD coords="2039,619,2336,561,615">cuartillo,</WORD>
<WORD coords="2439,639,2644,565,621">Diré,</WORD>
<WORD coords="2708,645,2858,586,631">pues</WORD>
<WORD coords="2891,650,2909,617,650">,</WORD>
<WORD coords="2937,654,3059,593,636">q»e</WORD>
</LINE>
<LINE>
<WORD coords="698,702,765,653,702">U</WORD>
<WORD coords="820,702,896,648,702">de</WORD>
<WORD coords="959,721,1103,668,704">peso</WORD>
<WORD coords="1167,708,1342,653,706">valen</WORD>
<WORD coords="1404,711,1436,663,715">2</WORD>
<WORD coords="1501,718,1693,656,711">r¿«A»</WORD>
<WORD coords="1751,735,1790,679,727">y</WORD>
<WORD coords="1843,718,1867,673,718">1</WORD>
<WORD coords="1920,721,2114,665,719">medio</WORD>
<WORD coords="2161,743,2199,688,734">y</WORD>
<WORD coords="2254,725,2278,678,725">l</WORD>
<WORD coords="2337,735,2647,676,729">cuartillo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="942,918,1215,839,896">Ejemplo</WORD>
<WORD coords="1270,898,1303,849,905">2</WORD>
<WORD coords="1350,878,1388,848,895">*</WORD>
<WORD coords="1420,899,1434,882,906">.</WORD>
<WORD coords="1481,925,1504,869,919">¿</WORD>
<WORD coords="1539,906,1769,844,906">6W?í*</WORD>
<WORD coords="1815,911,1989,850,910">üafe/z</WORD>
<WORD coords="2056,956,2111,865,927">5^</WORD>
<WORD coords="2150,913,2220,859,913">¿fe</WORD>
<WORD coords="2249,941,2514,858,918">%¿/?ía/</WORD>
<WORD coords="2541,927,2566,862,924">?.</WORD>
<WORD coords="2654,943,2941,865,924">Después</WORD>
<WORD coords="2972,932,3052,873,931">de</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2061,1023,2094,972,1023">r</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="688,1101,996,1038,1081">practicar</WORD>
<WORD coords="1041,1110,1190,1029,1085">digo</WORD>
<WORD coords="1240,1104,1359,1052,1088">que</WORD>
<WORD coords="1413,1092,1590,1035,1090">valen</WORD>
<WORD coords="1654,1096,1687,1049,1097">2</WORD>
<WORD coords="1735,1101,1935,1043,1098">arrob.</WORD>
<WORD coords="2001,1103,2071,1057,1103">21</WORD>
<WORD coords="2288,1105,2324,1055,1103">6</WORD>
<WORD coords="2370,1111,2502,1072,1108">¿722.</WORD>
<WORD coords="2590,1112,2661,1062,1111">13</WORD>
<WORD coords="2714,1121,2994,1059,1114">adarmes</WORD>
</LINE>
<LINE>
<WORD coords="685,1193,727,1140,1200">2</WORD>
<WORD coords="768,1195,1022,1145,1193">tomines</WORD>
<WORD coords="1082,1216,1120,1161,1212">y</WORD>
<WORD coords="1180,1198,1214,1150,1203">2</WORD>
<WORD coords="1260,1219,1494,1162,1198">granos</WORD>
<WORD coords="1530,1219,1548,1190,1216">,</WORD>
<WORD coords="1606,1214,2077,1154,1209">aprocsimando</WORD>
<WORD coords="2133,1230,2240,1178,1214">por</WORD>
<WORD coords="2300,1219,2541,1180,1217">ecccso.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="939,1308,1429,1246,1303">Demostración,</WORD>
<WORD coords="1531,1311,1613,1254,1310">Es</WORD>
<WORD coords="1670,1312,1721,1257,1311">la</WORD>
<WORD coords="1788,1323,2008,1261,1316">misma</WORD>
<WORD coords="2067,1337,2182,1284,1320">que</WORD>
<WORD coords="2233,1323,2434,1266,1321">dimos</WORD>
<WORD coords="2495,1323,2519,1272,1323">á</WORD>
<WORD coords="2582,1327,2634,1271,1324">la</WORD>
<WORD coords="2689,1331,3041,1271,1326">resolución</WORD>
</LINE>
<LINE>
<WORD coords="680,1405,784,1346,1403">del</WORD>
<WORD coords="840,1421,1153,1351,1405">problema</WORD>
<WORD coords="1215,1433,1398,1356,1420">(115)</WORD>
<WORD coords="1462,1419,1703,1362,1416">reducir</WORD>
<WORD coords="1761,1422,1841,1384,1421">un</WORD>
<WORD coords="1886,1448,2184,1369,1424">quebrado</WORD>
<WORD coords="2231,1427,2266,1393,1427">a</WORD>
<WORD coords="2320,1429,2448,1383,1427">otra</WORD>
<WORD coords="2496,1452,2645,1395,1431">cuyo</WORD>
<WORD coords="2693,1435,3038,1378,1432">denomina*</WORD>
</LINE>
<LINE>
<WORD coords="676,1511,791,1455,1508">dor</WORD>
<WORD coords="833,1511,898,1474,1510">se</WORD>
<WORD coords="946,1512,1023,1457,1512">da</WORD>
<WORD coords="1054,1527,1071,1481,1527">;</WORD>
<WORD coords="1127,1534,1355,1479,1519">porque</WORD>
<WORD coords="1401,1519,1457,1469,1519">el</WORD>
<WORD coords="1520,1540,1640,1485,1525">que</WORD>
<WORD coords="1702,1529,2024,1473,1527">acabamos</WORD>
<WORD coords="2095,1532,2171,1478,1531">de</WORD>
<WORD coords="2231,1538,2501,1482,1535">resolver</WORD>
<WORD coords="2562,1538,2626,1503,1537">es</WORD>
<WORD coords="2682,1540,2736,1487,1540">el</WORD>
<WORD coords="2794,1560,3044,1486,1539">mismo,</WORD>
</LINE>
<LINE>
<WORD coords="676,1617,791,1577,1615">con</WORD>
<WORD coords="854,1618,981,1564,1617">sola</WORD>
<WORD coords="1040,1619,1092,1563,1618">la</WORD>
<WORD coords="1142,1642,1523,1565,1624">diferencia,</WORD>
<WORD coords="1570,1630,1645,1576,1629">de</WORD>
<WORD coords="1698,1650,1814,1598,1633">que</WORD>
<WORD coords="1872,1636,1944,1600,1635">en</WORD>
<WORD coords="2006,1642,2113,1602,1634">ve?</WORD>
<WORD coords="2175,1641,2249,1585,1640">de</WORD>
<WORD coords="2300,1642,2559,1587,1640">escribir</WORD>
<WORD coords="2633,1644,2745,1607,1643">con</WORD>
<WORD coords="2794,1664,3037,1591,1643">guarís-</WORD>
</LINE>
<LINE>
<WORD coords="676,1724,814,1684,1723">naos</WORD>
<WORD coords="860,1725,916,1669,1724">el</WORD>
<WORD coords="972,1734,1421,1669,1730">denominador</WORD>
<WORD coords="1470,1737,1508,1683,1740">ó</WORD>
<WORD coords="1583,1742,1814,1684,1740">unidad</WORD>
<WORD coords="1873,1754,2129,1687,1747">inferior</WORD>
<WORD coords="2184,1773,2405,1693,1749">ejejida</WORD>
<WORD coords="2439,1769,2457,1740,1761">,</WORD>
<WORD coords="2502,1754,2566,1715,1752">se</WORD>
<WORD coords="2627,1754,2865,1695,1752">escribe</WORD>
<WORD coords="2917,1754,3034,1712,1753">coa</WORD>
</LINE>
<LINE>
<WORD coords="675,1843,883,1774,1833">lejras,</WORD>
<WORD coords="2814,1814,2839,1775,1814">*</WORD>
</LINE>
<LINE>
<WORD coords="1259,1936,1835,1866,1928">QUEBRADOS</WORD>
<WORD coords="1887,1943,2458,1876,1937">CONTINUOS.</WORD>
</LINE>
<LINE>
<WORD coords="929,2029,1243,1967,2024">Qhtrbrado</WORD>
<WORD coords="1296,2034,1577,1978,2031">continuo</WORD>
<WORD coords="1638,2035,1702,2000,2034">es</WORD>
<WORD coords="1765,2053,1939,1986,2037">aquel</WORD>
<WORD coords="1994,2058,2109,2006,2041">que</WORD>
<WORD coords="2171,2047,2331,1989,2043">tiene</WORD>
<WORD coords="2398,2064,2507,2009,2043">por</WORD>
<WORD coords="2582,2048,3041,1989,2044">denominador</WORD>
</LINE>
<LINE>
<WORD coords="666,2130,757,2089,2128">un</WORD>
<WORD coords="812,2132,1069,2092,2130">numero</WORD>
<WORD coords="1131,2137,1311,2079,2135">mi&gt;to</WORD>
<WORD coords="1349,2152,1364,2125,2152">,</WORD>
<WORD coords="1411,2157,1448,2103,2150">y</WORD>
<WORD coords="1494,2142,1549,2085,2139">el</WORD>
<WORD coords="1608,2160,1924,2090,2144">quebrado</WORD>
<WORD coords="1970,2147,2068,2090,2146">del</WORD>
<WORD coords="2120,2151,2375,2113,2149">numero</WORD>
<WORD coords="2437,2155,2619,2100,2153">misto</WORD>
<WORD coords="2684,2153,2844,2100,2151">tiene</WORD>
<WORD coords="2915,2169,3027,2112,2150">por</WORD>
</LINE>
<LINE>
<WORD coords="662,2238,1119,2178,2234">denominador</WORD>
<WORD coords="1175,2240,1251,2203,2240">un</WORD>
<WORD coords="1291,2246,1550,2205,2242">numero</WORD>
<WORD coords="1608,2249,1793,2191,2247">misto</WORD>
<WORD coords="1829,2266,1844,2238,2266">,</WORD>
<WORD coords="1889,2272,1926,2215,2262">y</WORD>
<WORD coords="1985,2253,2071,2197,2250">asi</WORD>
<WORD coords="2120,2255,2191,2219,2254">en</WORD>
<WORD coords="2239,2260,2540,2204,2256">adelante.</WORD>
<WORD coords="2641,2260,2710,2208,2258">El</WORD>
<WORD coords="2765,2279,3025,2178,2262">quebrar</WORD>
</LINE>
<LINE>
<WORD coords="659,2340,744,2285,2339">do</WORD>
<WORD coords="797,2346,1092,2288,2342">continuo</WORD>
<WORD coords="1153,2346,1215,2311,2345">se</WORD>
<WORD coords="1268,2350,1373,2313,2349">usa</WORD>
<WORD coords="1435,2369,1572,2315,2350">para</WORD>
<WORD coords="1631,2355,1823,2296,2353">billar</WORD>
<WORD coords="1871,2361,2205,2301,2358">diferentes</WORD>
<WORD coords="2266,2367,2500,2312,2364">valores</WORD>
<WORD coords="2538,2389,2750,2328,2366">mayor</WORD>
<WORD coords="2805,2385,2838,2332,2374">y</WORD>
<WORD coords="2894,2364,3017,2328,2363">me-</WORD>
</LINE>
<LINE>
<WORD coords="657,2450,772,2411,2450">nor</WORD>
<WORD coords="803,2468,819,2440,2467">,</WORD>
<WORD coords="864,2454,1033,2411,2451">entre</WORD>
<WORD coords="1092,2455,1178,2401,2452">los</WORD>
<WORD coords="1227,2479,1345,2423,2460">que</WORD>
<WORD coords="1391,2463,1455,2426,2462">se</WORD>
<WORD coords="1502,2464,1660,2406,2463">halla</WORD>
<WORD coords="1725,2467,1801,2431,2466">un</WORD>
<WORD coords="1852,2487,2164,2415,2469">quebrado</WORD>
<WORD coords="2203,2477,2424,2439,2473">común</WORD>
<WORD coords="2486,2496,2602,2442,2478">que</WORD>
<WORD coords="2636,2476,2713,2440,2475">no</WORD>
<WORD coords="2762,2473,2822,2438,2472">se</WORD>
<WORD coords="2868,2492,3017,2433,2471">pue-</WORD>
</LINE>
<LINE>
<WORD coords="658,2558,740,2499,2557">de</WORD>
<WORD coords="805,2578,1186,2503,2558">simplificar.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="745,2665,884,2613,2665">132.</WORD>
<WORD coords="984,2671,1328,2611,2665">Prob&apos;ema.</WORD>
<WORD coords="1424,2672,1471,2621,2673">!.</WORD>
<WORD coords="1500,2656,1534,2619,2656">c</WORD>
<WORD coords="1586,2679,1851,2619,2676">Reducir</WORD>
<WORD coords="1904,2682,1982,2643,2681">un</WORD>
<WORD coords="2048,2707,2345,2629,2686">quebrado</WORD>
<WORD coords="2393,2691,2599,2649,2688">común</WORD>
<WORD coords="2656,2688,2690,2656,2688">a</WORD>
<WORD coords="2754,2709,3006,2630,2683">quebra-</WORD>
</LINE>
<LINE>
<WORD coords="654,2770,725,2711,2769">do</WORD>
<WORD coords="775,2773,1056,2719,2771">continuo</WORD>
<WORD coords="1089,2788,1106,2762,2788">,</WORD>
<WORD coords="1159,2794,1200,2739,2789">y</WORD>
<WORD coords="1245,2777,1299,2730,2775">2-</WORD>
<WORD coords="1424,2784,1626,2723,2782">hallar</WORD>
<WORD coords="1671,2785,1757,2728,2784">ios</WORD>
<WORD coords="1801,2790,2036,2734,2786">valores</WORD>
<WORD coords="2093,2792,2262,2748,2791">entre</WORD>
<WORD coords="2305,2795,2390,2740,2794">los</WORD>
<WORD coords="2450,2820,2559,2761,2798">que</WORD>
<WORD coords="2616,2796,2679,2761,2796">se</WORD>
<WORD coords="2723,2794,2883,2738,2792">halla</WORD>
<WORD coords="2916,2791,3007,2735,2791">di-</WORD>
</LINE>
<LINE>
<WORD coords="658,2878,767,2821,2877">cho</WORD>
<WORD coords="828,2902,973,2823,2877">¿urb</WORD>
<WORD coords="1017,2880,1125,2826,2879">ado</WORD>
<WORD coords="1194,2888,1422,2846,2882">común,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="905,2987,1263,2930,2984">Resolución</WORD>
<WORD coords="1386,2991,1407,2941,2994">1</WORD>
<WORD coords="1570,2997,1823,2937,2993">Hállese</WORD>
<WORD coords="1880,2998,1931,2945,2998">el</WORD>
<WORD coords="1983,3006,2278,2949,3003">machimo</WORD>
<WORD coords="2326,3010,2546,2971,3007">común</WORD>
<WORD coords="2596,3009,2828,2951,3003">divisar</WORD>
<WORD coords="2859,3017,3002,2944,3008">(81.)</WORD>
</LINE>
<LINE>
<WORD coords="654,3089,733,3032,3088">de</WORD>
<WORD coords="788,3089,877,3033,3086">los</WORD>
<WORD coords="937,3090,1048,3036,3089">dos</WORD>
<WORD coords="1100,3095,1391,3051,3092">términos</WORD>
<WORD coords="1442,3098,1540,3039,3097">del</WORD>
<WORD coords="1603,3104,1679,3066,3101">qu</WORD>
<WORD coords="1725,3106,1915,3046,3102">brado</WORD>
<WORD coords="1941,3119,1956,3073,3119">;</WORD>
<WORD coords="2006,3129,2270,3069,3109">póngase</WORD>
<WORD coords="2303,3113,2333,3059,3112">á</WORD>
<WORD coords="2390,3112,2452,3078,3111">es</WORD>
<WORD coords="2465,3114,2535,3060,3114">da</WORD>
<WORD coords="2580,3138,2854,3056,3114">cociente</WORD>
<WORD coords="2897,3129,3009,3067,3106">por,</WORD>
</LINE>
<LINE>
<WORD coords="650,3195,1026,3140,3193">numerador</WORD>
<WORD coords="1069,3196,1121,3141,3194">ia</WORD>
<WORD coords="1184,3216,1466,3147,3199">unidad,</WORD>
<WORD coords="1524,3225,1563,3170,3217">y</WORD>
<WORD coords="1620,3209,1800,3152,3207">habrá</WORD>
<WORD coords="1851,3212,2047,3166,3211">tantos</WORD>
<WORD coords="2111,3228,2458,3162,3217">quebrados</WORD>
<WORD coords="2509,3221,2686,3184,3218">corno</WORD>
<WORD coords="2760,3216,2997,3161,3213">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="653,3300,700,3258,3298">te</WORD>
<WORD coords="801,3319,946,3244,3301">hays</WORD>
<WORD coords="991,3322,1008,3272,3318">;</WORD>
<WORD coords="1051,3305,1102,3248,3304">al</WORD>
<WORD coords="1158,3310,1571,3253,3306">denominado</WORD>
<WORD coords="1662,3312,1757,3260,3312">del</WORD>
<WORD coords="1816,3332,2040,3261,3316">primer</WORD>
<WORD coords="2097,3337,2414,3270,3320">quebrado</WORD>
<WORD coords="2467,3329,2663,3272,3325">añada</WORD>
<WORD coords="2703,3324,2786,3279,3323">ek</WORD>
<WORD coords="2830,3321,2882,3282,3319">ei</WORD>
<WORD coords="2916,3318,3010,3281,3317">se-</WORD>
</LINE>
<LINE>
<WORD coords="651,3427,691,3370,3423">g</WORD>
<WORD coords="723,3401,727,3384,3410">*</WORD>
<WORD coords="783,3406,861,3352,3405">do</WORD>
<WORD coords="899,3423,916,3395,3421">,</WORD>
<WORD coords="974,3407,1023,3364,3405">til</WORD>
<WORD coords="1068,3414,1516,3353,3412">denominador</WORD>
<WORD coords="1592,3418,1689,3366,3416">del</WORD>
<WORD coords="1759,3441,2036,3368,3419">segundo</WORD>
<WORD coords="2107,3444,2418,3369,3428">quebrado</WORD>
<WORD coords="2492,3451,2887,3373,3426">agregúesele</WORD>
<WORD coords="2951,3424,3008,3363,3421">el</WORD>
</LINE>
<LINE>
<WORD coords="646,3513,675,3467,3513">t</WORD>
<WORD coords="683,3503,688,3492,3513">■•</WORD>
<WORD coords="720,3512,889,3476,3510">rcero</WORD>
<WORD coords="945,3533,985,3477,3528">y</WORD>
<WORD coords="1041,3516,1129,3459,3515">asi</WORD>
<WORD coords="1188,3520,1359,3463,3518">hasta</WORD>
<WORD coords="1420,3519,1474,3469,3518">el</WORD>
<WORD coords="1535,3524,1754,3481,3522">ultimo</WORD>
<WORD coords="1782,3540,1797,3515,3533">,</WORD>
<WORD coords="1839,3527,1951,3491,3526">con</WORD>
<WORD coords="2001,3529,2056,3477,3529">ío</WORD>
<WORD coords="2103,3549,2219,3496,3530">que</WORD>
<WORD coords="2277,3533,2338,3499,3532">se</WORD>
<WORD coords="2391,3535,2599,3482,3533">cendra</WORD>
<WORD coords="2647,3536,2699,3496,3535">ei</WORD>
<WORD coords="2749,3553,3005,3479,3533">quebra-</WORD>
</LINE>
<LINE>
<WORD coords="646,3624,732,3564,3621">do</WORD>
<WORD coords="778,3622,1090,3563,3618">continuo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="898,3723,953,3678,3727">2.</WORD>
<WORD coords="1148,3730,1301,3692,3728">rara</WORD>
<WORD coords="1355,3732,1554,3676,3731">hallar</WORD>
<WORD coords="1612,3735,1696,3679,3734">los</WORD>
<WORD coords="1742,3760,2071,3681,3738">diferentes</WORD>
<WORD coords="2116,3743,2351,3687,3740">valores</WORD>
<WORD coords="2402,3767,2611,3709,3744">mayor</WORD>
<WORD coords="2677,3768,2718,3711,3758">y</WORD>
<WORD coords="2774,3749,2973,3713,3748">menor</WORD>
<WORD coords="2980,3768,2997,3739,3768">,</WORD>
</LINE>
<LINE>
<WORD coords="640,3832,745,3785,3830">ent</WORD>
<WORD coords="786,3831,817,3794,3831">e</WORD>
<WORD coords="864,3834,950,3785,3831">los</WORD>
<WORD coords="989,3853,1101,3792,3830">que</WORD>
<WORD coords="1159,3832,1220,3797,3830">su</WORD>
<WORD coords="1269,3842,1433,3781,3838">hulla</WORD>
<WORD coords="1493,3839,1548,3787,3838">el</WORD>
<WORD coords="1611,3863,1905,3790,3843">quebrado</WORD>
<WORD coords="1968,3862,2291,3793,3844">reducido,</WORD>
<WORD coords="2341,3850,2401,3817,3849">se.</WORD>
<WORD coords="2452,3855,2791,3801,3851">calcularan</WORD>
<WORD coords="2868,3872,2987,3778,3857">ptK</WORD>
</LINE>
<LINE>
<WORD coords="638,3942,814,3901,3942">mtío</WORD>
<WORD coords="868,3943,982,3890,3942">dos</WORD>
<WORD coords="1043,3957,1390,3884,3940">quebrados</WORD>
<WORD coords="1437,3970,2014,3898,3950">cortcs^uiidieritcb</WORD>
<WORD coords="2048,3955,2077,3919,3955">a</WORD>
<WORD coords="2109,3953,2202,3908,3952">iuü</WORD>
<WORD coords="2249,3957,2361,3900,3957">dos</WORD>
<WORD coords="2402,3979,2710,3922,3958">pn^eio*</WORD>
<WORD coords="2743,3966,2982,3913,3961">couér&gt;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0088.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0089.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0089.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1356,526,1500,432,526">70</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="240,642,334,594,639">tes</WORD>
<WORD coords="363,651,378,627,648">,</WORD>
<WORD coords="412,637,486,582,633">&lt;\c</WORD>
<WORD coords="547,639,673,592,637">este</WORD>
<WORD coords="720,639,904,582,636">modo</WORD>
<WORD coords="942,642,972,601,642">r</WORD>
<WORD coords="1010,638,1063,584,638">al</WORD>
<WORD coords="1122,656,1351,584,639">primer</WORD>
<WORD coords="1401,647,1674,586,646">cociente</WORD>
<WORD coords="1734,669,2000,609,646">pnngnse</WORD>
<WORD coords="2062,666,2173,613,647">por</WORD>
<WORD coords="2221,667,2598,594,662">numerador</WORD>
</LINE>
<LINE>
<WORD coords="243,751,275,697,751">X</WORD>
<WORD coords="332,764,367,709,759">y</WORD>
<WORD coords="422,743,554,708,742">sera</WORD>
<WORD coords="611,743,665,694,742">el</WORD>
<WORD coords="717,762,944,708,744">primer</WORD>
<WORD coords="1001,764,1316,694,745">quebrado</WORD>
<WORD coords="1357,757,1372,715,755">;</WORD>
<WORD coords="1421,749,1472,701,748">al</WORD>
<WORD coords="1510,754,1544,707,754">2</WORD>
<WORD coords="1598,732,1631,699,732">c</WORD>
<WORD coords="1683,760,1957,699,757">cociente</WORD>
<WORD coords="1991,780,2315,717,758">pongaje</WORD>
<WORD coords="2354,769,2446,726,766">doi</WORD>
<WORD coords="2493,771,2600,724,768">de-</WORD>
</LINE>
<LINE>
<WORD coords="235,850,606,793,847">nominador</WORD>
<WORD coords="667,848,720,801,848">el</WORD>
<WORD coords="801,868,1100,797,850">producto</WORD>
<WORD coords="1176,853,1275,800,852">del</WORD>
<WORD coords="1339,856,1562,802,854">mismo</WORD>
<WORD coords="1618,861,1892,805,859">cociente</WORD>
<WORD coords="1958,879,2064,826,860">por</WORD>
<WORD coords="2125,865,2178,814,863">ti</WORD>
<WORD coords="2239,879,2600,812,872">denomina-</WORD>
</LINE>
<LINE>
<WORD coords="238,961,351,899,959">dor</WORD>
<WORD coords="400,966,498,899,959">del</WORD>
<WORD coords="555,975,872,903,957">quebrado</WORD>
<WORD coords="929,961,1195,908,959">anterior</WORD>
<WORD coords="1258,962,1385,928,961">mas</WORD>
<WORD coords="1441,964,1460,917,964">1</WORD>
<WORD coords="1501,978,1517,953,978">,</WORD>
<WORD coords="1565,984,1600,930,975">y</WORD>
<WORD coords="1655,967,1716,933,966">se</WORD>
<WORD coords="1774,970,1990,919,967">tendrá</WORD>
<WORD coords="2036,973,2090,913,972">el</WORD>
<WORD coords="2140,971,2276,931,970">otro</WORD>
<WORD coords="2335,993,2597,927,976">quebra-</WORD>
</LINE>
<LINE>
<WORD coords="234,1066,318,1012,1063">do</WORD>
<WORD coords="369,1079,484,1029,1062">que</WORD>
<WORD coords="535,1063,596,1030,1062">se</WORD>
<WORD coords="647,1066,919,1015,1064">colocara</WORD>
<WORD coords="971,1097,1192,1012,1068">debajo</WORD>
<WORD coords="1249,1070,1346,1011,1068">del</WORD>
<WORD coords="1403,1091,1686,1016,1071">segundo</WORD>
<WORD coords="1747,1080,2045,1022,1076">cociente.</WORD>
<WORD coords="2099,1085,2466,1026,1081">Calculados</WORD>
<WORD coords="2509,1091,2595,1038,1088">los</WORD>
</LINE>
<LINE>
<WORD coords="233,1172,346,1106,1170">dos</WORD>
<WORD coords="396,1205,696,1113,1170">primeros</WORD>
<WORD coords="758,1188,1030,1113,1173">quebrad</WORD>
<WORD coords="1077,1176,1102,1139,1176">s</WORD>
<WORD coords="1138,1185,1152,1163,1182">,</WORD>
<WORD coords="1187,1173,1249,1138,1173">se</WORD>
<WORD coords="1295,1175,1490,1118,1173">hallan</WORD>
<WORD coords="1556,1177,1642,1128,1175">los</WORD>
<WORD coords="1692,1183,1902,1123,1180">demás</WORD>
<WORD coords="1964,1195,2067,1149,1179">por</WORD>
<WORD coords="2125,1189,2253,1136,1187">eatá</WORD>
<WORD coords="2284,1216,2446,1140,1193">regla</WORD>
<WORD coords="2489,1201,2590,1165,1199">fu-</WORD>
</LINE>
<LINE>
<WORD coords="232,1274,396,1223,1272">neral</WORD>
<WORD coords="439,1281,453,1245,1282">;</WORD>
<WORD coords="497,1303,990,1220,1278">Multipliqúense</WORD>
<WORD coords="1039,1279,1120,1235,1277">los</WORD>
<WORD coords="1169,1280,1271,1226,1279">dos</WORD>
<WORD coords="1318,1283,1604,1237,1281">termines</WORD>
<WORD coords="1662,1284,1757,1231,1283">del</WORD>
<WORD coords="1810,1292,2107,1232,1285">quebrado</WORD>
<WORD coords="2142,1296,2414,1252,1290">anterior</WORD>
<WORD coords="2463,1319,2584,1261,1294">pr&lt;r</WORD>
</LINE>
<LINE>
<WORD coords="229,1379,285,1328,1378">el</WORD>
<WORD coords="336,1405,596,1336,1385">cociente</WORD>
<WORD coords="624,1393,636,1372,1393">,</WORD>
<WORD coords="690,1403,838,1347,1382">cuyo</WORD>
<WORD coords="898,1408,1195,1330,1383">quebrado</WORD>
<WORD coords="1240,1386,1304,1351,1386">se</WORD>
<WORD coords="1356,1394,1585,1331,1387">busca;</WORD>
<WORD coords="1640,1389,1701,1336,1388">al</WORD>
<WORD coords="1736,1412,2027,1345,1391">producto</WORD>
<WORD coords="2072,1394,2166,1340,1393">del</WORD>
<WORD coords="2209,1405,2456,1359,1400">numera</WORD>
<WORD coords="2476,1408,2571,1353,1407">tor</WORD>
</LINE>
<LINE>
<WORD coords="228,1486,501,1440,1485">anada.se</WORD>
<WORD coords="548,1486,602,1435,1485">el</WORD>
<WORD coords="657,1488,1016,1451,1486">numerador</WORD>
<WORD coords="1064,1490,1157,1437,1488">del</WORD>
<WORD coords="1208,1512,1507,1439,1492">quebrado</WORD>
<WORD coords="1568,1510,1844,1443,1495">anteripr</WORD>
<WORD coords="1877,1511,1893,1481,1511">^</WORD>
<WORD coords="1941,1518,1980,1463,1509">y</WORD>
<WORD coords="2036,1500,2096,1447,1498">al</WORD>
<WORD coords="2145,1520,2435,1457,1503">proíwto</WORD>
<WORD coords="2489,1513,2588,1458,1511">del</WORD>
</LINE>
<LINE>
<WORD coords="228,1592,658,1537,1590">denominador</WORD>
<WORD coords="710,1594,979,1539,1592">anudase</WORD>
<WORD coords="1044,1594,1096,1547,1594">eí</WORD>
<WORD coords="1150,1601,1579,1542,1598">denominador</WORD>
<WORD coords="1616,1583,1627,1571,1592">•</WORD>
<WORD coords="1675,1603,1728,1549,1602">el</WORD>
<WORD coords="1806,1604,2024,1550,1603">ultimo</WORD>
<WORD coords="2073,1624,2387,1556,1609">quebrado</WORD>
<WORD coords="2447,1622,2587,1583,1618">sera</WORD>
</LINE>
<LINE>
<WORD coords="226,1718,395,1638,1696">igual</WORD>
<WORD coords="461,1697,512,1651,1696">al</WORD>
<WORD coords="563,1701,749,1645,1698">dado.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="473,1828,791,1747,1804">Ejemplo..</WORD>
<WORD coords="864,1812,1230,1751,1810">Redúzcase</WORD>
<WORD coords="1294,1811,1372,1763,1812">24</WORD>
<WORD coords="1424,1811,1450,1759,1813">á</WORD>
<WORD coords="1499,1831,1818,1757,1814">quebrado</WORD>
<WORD coords="1887,1818,2178,1760,1816">continuo</WORD>
<WORD coords="2234,1841,2275,1776,1836">y</WORD>
<WORD coords="2334,1832,2579,1770,1826">valutse</WORD>
</LINE>
<LINE>
<WORD coords="1297,1920,1400,1840,1898">83*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="222,2008,336,1947,1988">por</WORD>
<WORD coords="390,1992,492,1954,1990">sus</WORD>
<WORD coords="548,1998,802,1938,1992">limites.</WORD>
<WORD coords="855,1998,1109,1939,1995">Hallaré</WORD>
<WORD coords="1160,1998,1211,1943,1996">el</WORD>
<WORD coords="1259,2001,1554,1945,1999">macsimo</WORD>
<WORD coords="1616,2005,1838,1965,2002">común</WORD>
<WORD coords="1897,2006,2134,1949,2005">divisor</WORD>
<WORD coords="2183,2011,2259,1955,2009">de</WORD>
<WORD coords="2321,2016,2423,1978,2013">sus</WORD>
<WORD coords="2472,2022,2584,1962,2017">dos</WORD>
</LINE>
<LINE>
<WORD coords="221,2091,270,2047,2090">tc</WORD>
<WORD coords="294,2088,300,2075,2088">:</WORD>
<WORD coords="328,2096,525,2058,2093">minos</WORD>
<WORD coords="570,2111,585,2086,2111">,</WORD>
<WORD coords="620,2115,735,2066,2098">que</WORD>
<WORD coords="772,2102,949,2067,2100">como</WORD>
<WORD coords="997,2119,1140,2050,2102">aquí</WORD>
<WORD coords="1196,2103,1258,2070,2102">es</WORD>
<WORD coords="1314,2104,1335,2059,2105">1</WORD>
<WORD coords="1378,2125,1395,2092,2116">,</WORD>
<WORD coords="1443,2106,1507,2072,2105">se</WORD>
<WORD coords="1560,2129,1737,2054,2106">sigue</WORD>
<WORD coords="1796,2123,1913,2075,2110">que</WORD>
<WORD coords="1976,2111,2082,2076,2108">son</WORD>
<WORD coords="2132,2122,2422,2078,2117">números</WORD>
<WORD coords="2460,2141,2578,2038,2125">pri-</WORD>
</LINE>
<LINE>
<WORD coords="219,2201,355,2157,2198">»os</WORD>
<WORD coords="402,2203,572,2156,2200">entre</WORD>
<WORD coords="626,2207,679,2147,2207">sí</WORD>
<WORD coords="712,2219,734,2173,2216">;</WORD>
<WORD coords="779,2207,851,2153,2206">de</WORD>
<WORD coords="916,2207,1003,2155,2206">los</WORD>
<WORD coords="1047,2209,1353,2154,2207">cocientes</WORD>
<WORD coords="1403,2222,1567,2161,2216">3,2</WORD>
<WORD coords="1596,2227,1610,2202,2220">,</WORD>
<WORD coords="1671,2213,1704,2167,2213">5</WORD>
<WORD coords="1742,2229,1758,2203,2221">,</WORD>
<WORD coords="1816,2214,1850,2169,2214">2</WORD>
<WORD coords="1886,2231,1901,2204,2224">,</WORD>
<WORD coords="1949,2217,2153,2159,2214">formo</WORD>
<WORD coords="2211,2225,2268,2170,2224">el</WORD>
<WORD coords="2321,2248,2581,2160,2232">ijuebra-</WORD>
</LINE>
<LINE>
<WORD coords="221,2300,301,2247,2300">do</WORD>
<WORD coords="358,2306,523,2251,2302">comí</WORD>
<WORD coords="573,2307,647,2275,2310">üü</WORD>
<WORD coords="713,2311,789,2255,2310">de</WORD>
<WORD coords="847,2316,975,2271,2314">este</WORD>
<WORD coords="1026,2315,1211,2264,2313">modo</WORD>
<WORD coords="1245,2317,1256,2282,2318">:</WORD>
<WORD coords="1310,2338,1510,2282,2317">pongo</WORD>
<WORD coords="1579,2326,1616,2273,2324">1.</WORD>
<WORD coords="1661,2337,1768,2284,2319">por</WORD>
<WORD coords="1813,2326,2190,2269,2321">numerador</WORD>
<WORD coords="2245,2331,2299,2276,2330">al</WORD>
<WORD coords="2351,2351,2585,2282,2338">primer</WORD>
</LINE>
<LINE>
<WORD coords="219,2417,489,2357,2414">cociente</WORD>
<WORD coords="567,2418,588,2370,2424">3</WORD>
<WORD coords="640,2439,755,2386,2421">que</WORD>
<WORD coords="807,2425,939,2389,2424">sera</WORD>
<WORD coords="988,2427,1040,2370,2425">el</WORD>
<WORD coords="1092,2430,1542,2373,2428">denominador</WORD>
<WORD coords="1579,2440,1595,2400,2436">;</WORD>
<WORD coords="1647,2432,1674,2397,2432">a</WORD>
<WORD coords="1726,2436,1849,2388,2434">este</WORD>
<WORD coords="1915,2440,2362,2380,2435">denominador</WORD>
<WORD coords="2419,2445,2470,2391,2444">ie</WORD>
<WORD coords="2516,2450,2579,2411,2450">a*</WORD>
</LINE>
<LINE>
<WORD coords="218,2530,520,2472,2519">Compaño</WORD>
<WORD coords="557,2527,633,2490,2526">un</WORD>
<WORD coords="672,2546,942,2478,2528">quebrad</WORD>
<WORD coords="951,2530,982,2497,2533">o</WORD>
<WORD coords="1021,2550,1133,2499,2533">que</WORD>
<WORD coords="1167,2556,1341,2496,2533">tenga</WORD>
<WORD coords="1381,2537,1403,2491,2537">1</WORD>
<WORD coords="1445,2545,1552,2500,2539">por</WORD>
<WORD coords="1699,2539,1774,2491,2539">24</WORD>
<WORD coords="1821,2552,1927,2511,2548">^zr</WORD>
<WORD coords="1992,2539,2009,2494,2539">1</WORD>
</LINE>
<LINE>
<WORD coords="214,2629,587,2576,2626">numerador</WORD>
<WORD coords="646,2655,681,2598,2650">y</WORD>
<WORD coords="741,2646,840,2601,2634">por</WORD>
<WORD coords="875,2643,1316,2584,2638">denominador</WORD>
<WORD coords="1361,2643,1410,2604,2643">e?</WORD>
<WORD coords="1447,2644,1509,2610,2643">se</WORD>
<WORD coords="1729,2650,1806,2598,2647">83</WORD>
<WORD coords="1977,2644,2040,2570,2637">&quot;5.</WORD>
<WORD coords="2080,2641,2122,2590,2641">+</WORD>
<WORD coords="2174,2652,2196,2602,2652">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="210,2752,422,2676,2737">fundo</WORD>
<WORD coords="487,2741,555,2697,2741">CO</WORD>
<WORD coords="601,2741,751,2684,2739">iente</WORD>
<WORD coords="795,2742,822,2695,2743">2</WORD>
<WORD coords="859,2761,873,2712,2753">;</WORD>
<WORD coords="928,2742,953,2710,2742">a</WORD>
<WORD coords="1009,2745,1134,2704,2744">este</WORD>
<WORD coords="1170,2747,1202,2703,2747">2</WORD>
<WORD coords="1238,2761,1592,2699,2750">acompaño.</WORD>
<WORD coords="2148,2760,2184,2711,2760">2</WORD>
<WORD coords="2233,2771,2273,2710,2771">f</WORD>
<WORD coords="2327,2762,2352,2713,2762">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="200,2839,289,2799,2837">un</WORD>
<WORD coords="326,2856,599,2786,2840">queb-.d</WORD>
<WORD coords="650,2856,663,2833,2856">,</WORD>
<WORD coords="698,2864,775,2811,2846">qu</WORD>
<WORD coords="842,2871,985,2806,2847">íeog</WORD>
<WORD coords="1036,2852,1082,2801,2852">&apos;i</WORD>
<WORD coords="1128,2867,1231,2818,2852">por</WORD>
<WORD coords="1265,2859,1640,2801,2855">numerador</WORD>
<WORD coords="2321,2868,2370,2795,2847">&quot;5</WORD>
<WORD coords="2424,2885,2460,2822,2885">-f</WORD>
<WORD coords="2518,2879,2546,2827,2879">f</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="206,2961,245,2902,2961">y</WORD>
<WORD coords="320,2962,428,2908,2942">por</WORD>
<WORD coords="479,2953,926,2898,2948">denominador</WORD>
<WORD coords="974,2956,1024,2921,2955">es</WORD>
<WORD coords="1075,2962,1279,2913,2958">tercer</WORD>
<WORD coords="1324,2965,1597,2909,2962">cociente</WORD>
<WORD coords="1635,2981,1694,2916,2975">5,</WORD>
<WORD coords="2502,2982,2539,2908,2982">¿</WORD>
</LINE>
<LINE>
<WORD coords="202,3069,240,3011,3069">y</WORD>
<WORD coords="294,3051,382,3016,3049">asi</WORD>
<WORD coords="431,3072,696,3008,3058">procedo</WORD>
<WORD coords="746,3063,920,3003,3062">h^ta</WORD>
<WORD coords="980,3067,1031,3014,3065">el</WORD>
<WORD coords="1102,3073,1321,3013,3070">ultimo</WORD>
<WORD coords="1371,3076,1666,3021,3072">cociente.</WORD>
<WORD coords="1771,3076,1860,3020,3076">De</WORD>
<WORD coords="1916,3076,2103,3020,3074">modo</WORD>
<WORD coords="2152,3096,2269,3040,3077">que</WORD>
<WORD coords="2316,3082,2368,3028,3079">el</WORD>
<WORD coords="2417,3102,2570,3050,3087">que-</WORD>
</LINE>
<LINE>
<WORD coords="207,3158,407,3101,3156">brado</WORD>
<WORD coords="497,3169,723,3127,3164">común</WORD>
<WORD coords="800,3173,964,3115,3171">dado</WORD>
<WORD coords="1023,3175,1085,3142,3175">e*</WORD>
<WORD coords="1160,3199,1328,3122,3179">igual</WORD>
<WORD coords="1418,3181,1529,3146,3180">con</WORD>
<WORD coords="1592,3182,1644,3130,3181">el</WORD>
<WORD coords="1724,3186,2017,3126,3183">continuo</WORD>
<WORD coords="2102,3205,2218,3150,3185">que</WORD>
<WORD coords="2280,3188,2342,3152,3186">se</WORD>
<WORD coords="2412,3194,2429,3154,3190">y</WORD>
<WORD coords="2452,3190,2478,3158,3190">e</WORD>
<WORD coords="2538,3197,2570,3141,3197">á</WORD>
</LINE>
<LINE>
<WORD coords="215,3266,274,3206,3264">la</WORD>
<WORD coords="331,3288,602,3232,3267">margen.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="470,3379,620,3322,3376">Para</WORD>
<WORD coords="676,3385,871,3321,3382">hallar</WORD>
<WORD coords="930,3390,1018,3331,3387">los</WORD>
<WORD coords="1066,3408,1412,3338,3393">quebrados</WORD>
<WORD coords="1458,3397,1624,3354,3396">entre</WORD>
<WORD coords="1676,3402,1767,3344,3399">ios</WORD>
<WORD coords="1822,3424,1939,3368,3406">que</WORD>
<WORD coords="2006,3407,2066,3372,3406">se</WORD>
<WORD coords="2126,3413,2451,3371,3410">encentra</WORD>
<WORD coords="2516,3413,2569,3359,3412">el</WORD>
</LINE>
<LINE>
<WORD coords="216,3491,533,3420,3477">quebrado</WORD>
<WORD coords="569,3487,730,3430,3485">dado</WORD>
<WORD coords="765,3502,780,3476,3503">,</WORD>
<WORD coords="829,3517,1135,3438,3492">dispongo</WORD>
<WORD coords="1210,3501,1297,3425,3501">íos</WORD>
<WORD coords="1347,3508,1662,3454,3504">cocientes</WORD>
<WORD coords="1689,3511,1762,3472,3510">en</WORD>
<WORD coords="1963,3526,2043,3465,3521">3,</WORD>
<WORD coords="2133,3529,2213,3472,3521">2,</WORD>
<WORD coords="2307,3519,2338,3473,3519">5</WORD>
<WORD coords="2489,3534,2566,3471,3529">&lt;g</WORD>
</LINE>
<LINE>
<WORD coords="213,3585,306,3522,3582">fila</WORD>
<WORD coords="342,3598,357,3572,3601">,</WORD>
<WORD coords="387,3608,580,3550,3586">según</WORD>
<WORD coords="612,3594,674,3557,3593">se</WORD>
<WORD coords="713,3596,780,3560,3595">ve</WORD>
<WORD coords="817,3598,887,3561,3597">en</WORD>
<WORD coords="919,3600,970,3547,3598">ti</WORD>
<WORD coords="1022,3618,1343,3566,3605">prospecto</WORD>
<WORD coords="1384,3625,1398,3597,3625">,</WORD>
<WORD coords="1429,3627,1461,3575,3625">y</WORD>
<WORD coords="1510,3623,1751,3544,3615">calculo</WORD>
<WORD coords="1995,3619,2015,3575,3619">1</WORD>
<WORD coords="2154,3623,2188,3578,3620">2</WORD>
<WORD coords="2332,3626,2394,3577,3623">11</WORD>
<WORD coords="2490,3629,2570,3548,3629">2I</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="198,3689,290,3625,3686">Í0S</WORD>
<WORD coords="332,3690,442,3636,3688">dos</WORD>
<WORD coords="493,3705,793,3642,3697">primeros</WORD>
<WORD coords="841,3724,1188,3647,3708">quebrados</WORD>
<WORD coords="1241,3712,1319,3656,3712">d&lt;s</WORD>
<WORD coords="1351,3716,1480,3671,3714">esta</WORD>
<WORD coords="1511,3724,1742,3641,3719">siieWe:</WORD>
<WORD coords="1979,3727,2037,3652,3705">3*</WORD>
<WORD coords="2147,3734,2201,3636,3734">f</WORD>
<WORD coords="2312,3732,2398,3658,3714">~~8</WORD>
<WORD coords="2490,3736,2564,3688,3735">83</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="198,3864,253,3732,3842">g</WORD>
<WORD coords="295,3790,325,3744,3805">3</WORD>
<WORD coords="364,3794,414,3752,3792">le</WORD>
<WORD coords="469,3822,667,3762,3800">pongo</WORD>
<WORD coords="717,3824,826,3768,3805">por</WORD>
<WORD coords="881,3816,1255,3761,3814">numerador</WORD>
<WORD coords="1305,3817,1327,3769,3818">í</WORD>
<WORD coords="1369,3837,1481,3785,3819">que</WORD>
<WORD coords="1540,3829,1751,3772,3826">eoioeo</WORD>
<WORD coords="1799,3862,2018,3772,3830">debajo</WORD>
<WORD coords="2067,3836,2162,3784,3835">del</WORD>
<WORD coords="2223,3850,2297,3789,3845">3¿</WORD>
<WORD coords="2364,3861,2564,3803,3840">pongo</WORD>
</LINE>
<LINE>
<WORD coords="197,3913,464,3838,3896">después</WORD>
<WORD coords="519,3922,629,3870,3905">por</WORD>
<WORD coords="679,3917,1055,3862,3913">numerador</WORD>
<WORD coords="1099,3919,1156,3868,3918">el</WORD>
<WORD coords="1203,3943,1482,3869,3920">segundo</WORD>
<WORD coords="1558,3931,1813,3850,3928">ftefénte</WORD>
<WORD coords="1874,3942,1956,3890,3939">2,</WORD>
<WORD coords="2025,3957,2062,3904,3957">y</WORD>
<WORD coords="2121,3958,2259,3907,3939">p.ia</WORD>
<WORD coords="2324,3944,2354,3888,3944">f</WORD>
<WORD coords="2396,3943,2557,3854,3940">rafa?</WORD>
</LINE>
<LINE>
<WORD coords="192,3999,270,3958,3999">•u</WORD>
<WORD coords="338,4019,784,3947,4014">denominador</WORD>
<WORD coords="819,4038,839,4005,4038">,</WORD>
<WORD coords="905,4045,1051,3967,4022">digo</WORD>
<WORD coords="1081,4026,1097,3990,4029">:</WORD>
<WORD coords="1175,4027,1211,3982,4031">2</WORD>
<WORD coords="1262,4048,1370,3992,4028">por</WORD>
<WORD coords="1414,4028,1451,3979,4030">3</WORD>
<WORD coords="1481,4045,1503,4016,4045">,</WORD>
<WORD coords="1555,4065,2003,3980,4047">Úcmauumfrt</WORD>
<WORD coords="2068,4048,2172,3991,4047">dei</WORD>
<WORD coords="2234,4069,2553,4001,4048">quebrado</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0089.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0090.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0090.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1896,456,2036,368,455">80</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="742,584,1047,513,569">scterkr,</WORD>
<WORD coords="1105,571,1219,532,570">son</WORD>
<WORD coords="1266,575,1343,519,574">6,</WORD>
<WORD coords="1409,572,1541,534,572">mas</WORD>
<WORD coords="1589,573,1616,521,575">1</WORD>
<WORD coords="1682,574,1792,536,572">son</WORD>
<WORD coords="1843,575,1876,522,576">7</WORD>
<WORD coords="1914,597,1954,540,588">y</WORD>
<WORD coords="2012,579,2225,523,578">coloco</WORD>
<WORD coords="2318,582,2370,524,581">el</WORD>
<WORD coords="2430,601,2749,525,583">quebrado</WORD>
<WORD coords="2796,587,2831,536,587">2</WORD>
<WORD coords="2880,610,3108,528,587">debajo</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="728,764,833,708,762">del</WORD>
<WORD coords="888,763,945,717,764">2.</WORD>
<WORD coords="1042,764,1165,710,762">Los</WORD>
<WORD coords="1213,767,1423,709,764">demás</WORD>
<WORD coords="1485,783,1836,708,763">quebrados</WORD>
<WORD coords="1899,768,2040,730,767">saco</WORD>
<WORD coords="2100,787,2210,732,768">por</WORD>
<WORD coords="2267,769,2324,715,769">la</WORD>
<WORD coords="2422,791,2591,715,768">regla</WORD>
<WORD coords="2652,794,2895,719,772">general</WORD>
<WORD coords="2931,789,2950,761,781">,</WORD>
<WORD coords="3003,773,3100,715,772">di»</WORD>
</LINE>
<LINE>
<WORD coords="731,871,1002,816,869">cundo:</WORD>
<WORD coords="1055,871,1088,825,872">5</WORD>
<WORD coords="1144,872,1322,837,870">veces</WORD>
<WORD coords="1378,871,1412,824,872">2</WORD>
<WORD coords="1475,871,1581,836,870">son</WORD>
<WORD coords="1634,871,1706,823,871">10</WORD>
<WORD coords="1764,893,1805,836,883">y</WORD>
<WORD coords="1863,874,1889,824,874">1</WORD>
<WORD coords="1951,876,2328,821,874">numerador</WORD>
<WORD coords="2381,877,2482,822,877">del</WORD>
<WORD coords="2561,897,2877,822,877">quebrado</WORD>
<WORD coords="2925,878,3098,834,877">ante-</WORD>
</LINE>
<LINE>
<WORD coords="733,992,895,941,976">rior,</WORD>
<WORD coords="963,980,1004,946,980">s&lt;</WORD>
<WORD coords="1035,978,1070,943,978">n</WORD>
<WORD coords="1136,979,1199,931,978">11</WORD>
<WORD coords="1263,995,1379,943,979">que</WORD>
<WORD coords="1436,979,1500,946,979">es</WORD>
<WORD coords="1544,979,1595,924,978">el</WORD>
<WORD coords="1653,993,2071,925,979">numerador,</WORD>
<WORD coords="2114,1001,2153,946,993">y</WORD>
<WORD coords="2198,986,2489,929,982">continúo</WORD>
<WORD coords="2525,986,2817,927,982">ditiendo</WORD>
<WORD coords="2854,984,2935,935,983">:5</WORD>
<WORD coords="2975,1002,3087,947,984">por</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="731,1091,768,1038,1090">7</WORD>
<WORD coords="831,1087,937,1053,1086">son</WORD>
<WORD coords="987,1087,1061,1039,1087">35</WORD>
<WORD coords="1125,1087,1253,1053,1086">mas</WORD>
<WORD coords="1303,1087,1336,1039,1088">3</WORD>
<WORD coords="1386,1087,1836,1032,1085">denominador</WORD>
<WORD coords="1884,1089,1986,1034,1088">del</WORD>
<WORD coords="2046,1089,2315,1035,1087">anterior</WORD>
<WORD coords="2348,1106,2365,1080,1099">,</WORD>
<WORD coords="2409,1092,2517,1057,1091">son</WORD>
<WORD coords="2578,1094,2654,1044,1093">38</WORD>
<WORD coords="2716,1112,2834,1057,1094">que</WORD>
<WORD coords="2889,1115,3096,1053,1090">pongo</WORD>
</LINE>
<LINE>
<WORD coords="725,1214,840,1159,1195">por</WORD>
<WORD coords="895,1196,1367,1140,1195">denominador.</WORD>
<WORD coords="1468,1215,1728,1138,1191">Prosigo</WORD>
<WORD coords="1786,1195,2078,1139,1193">diciendo</WORD>
<WORD coords="2111,1204,2128,1164,1200">;</WORD>
<WORD coords="2176,1196,2210,1149,1196">2</WORD>
<WORD coords="2258,1215,2366,1160,1196">por</WORD>
<WORD coords="2417,1199,2483,1148,1198">11</WORD>
<WORD coords="2537,1199,2645,1162,1198">son</WORD>
<WORD coords="2698,1201,2776,1154,1201">22</WORD>
<WORD coords="2813,1217,2829,1190,1209">,</WORD>
<WORD coords="2874,1201,3002,1165,1200">mas</WORD>
<WORD coords="3051,1204,3090,1154,1204">2</WORD>
</LINE>
<LINE>
<WORD coords="722,1305,1097,1248,1301">numerador</WORD>
<WORD coords="1145,1301,1247,1247,1300">del</WORD>
<WORD coords="1284,1300,1555,1245,1298">anterior</WORD>
<WORD coords="1583,1317,1599,1291,1309">,</WORD>
<WORD coords="1652,1301,1760,1264,1299">son</WORD>
<WORD coords="1818,1303,1898,1255,1302">24</WORD>
<WORD coords="1956,1321,2076,1267,1302">que</WORD>
<WORD coords="2126,1303,2189,1267,1301">es</WORD>
<WORD coords="2249,1302,2304,1248,1301">el</WORD>
<WORD coords="2364,1306,2735,1251,1304">numerador</WORD>
<WORD coords="2768,1311,2784,1273,1308">;</WORD>
<WORD coords="2816,1306,2850,1257,1306">2</WORD>
<WORD coords="2899,1307,3086,1271,1306">veces</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="723,1412,758,1363,1411">8</WORD>
<WORD coords="819,1411,925,1372,1410">sen</WORD>
<WORD coords="984,1418,1109,1359,1412">16,</WORD>
<WORD coords="1158,1410,1288,1373,1408">mas</WORD>
<WORD coords="1349,1411,1383,1357,1409">7</WORD>
<WORD coords="1430,1408,1876,1352,1406">denominador</WORD>
<WORD coords="1927,1407,2024,1354,1406">del</WORD>
<WORD coords="2080,1426,2397,1352,1406">anterior,</WORD>
<WORD coords="2457,1411,2566,1374,1409">son</WORD>
<WORD coords="2627,1429,2748,1363,1420">23;</WORD>
<WORD coords="2809,1433,2973,1376,1411">pong</WORD>
<WORD coords="3004,1400,3010,1388,1404">■</WORD>
<WORD coords="3044,1412,3079,1360,1412">3</WORD>
</LINE>
<LINE>
<WORD coords="715,1538,752,1479,1528">y</WORD>
<WORD coords="805,1518,964,1465,1516">llevo</WORD>
<WORD coords="1007,1517,1040,1470,1517">2</WORD>
<WORD coords="1077,1522,1093,1483,1519">;</WORD>
<WORD coords="1148,1516,1183,1468,1515">2</WORD>
<WORD coords="1246,1515,1425,1478,1514">veces</WORD>
<WORD coords="1484,1513,1517,1462,1514">3</WORD>
<WORD coords="1578,1512,1687,1476,1510">son</WORD>
<WORD coords="1752,1512,1787,1461,1513">6</WORD>
<WORD coords="1834,1534,1872,1478,1524">y</WORD>
<WORD coords="1933,1513,1967,1465,1514">2</WORD>
<WORD coords="2012,1531,2129,1477,1512">que</WORD>
<WORD coords="2181,1516,2340,1460,1513">llevo</WORD>
<WORD coords="2401,1517,2508,1481,1515">son</WORD>
<WORD coords="2557,1518,2589,1469,1518">8</WORD>
<WORD coords="2621,1534,2636,1507,1534">,</WORD>
<WORD coords="2681,1541,2719,1484,1539">y</WORD>
<WORD coords="2778,1538,2964,1476,1516">tengo</WORD>
<WORD coords="3019,1518,3079,1460,1517">ei</WORD>
</LINE>
<LINE>
<WORD coords="712,1627,1168,1568,1622">denominador</WORD>
<WORD coords="1215,1622,1292,1569,1621">83</WORD>
<WORD coords="1331,1639,1349,1609,1630">,</WORD>
<WORD coords="1406,1621,1764,1563,1619">resultando</WORD>
<WORD coords="1813,1636,1921,1583,1618">por</WORD>
<WORD coords="1993,1622,2216,1571,1619">ultimo</WORD>
<WORD coords="2286,1640,2604,1567,1624">quebrado</WORD>
<WORD coords="2647,1627,2704,1570,1626">el</WORD>
<WORD coords="2754,1646,3080,1568,1622">primitivo</WORD>
</LINE>
<LINE>
<WORD coords="715,1756,837,1697,1734">que</WORD>
<WORD coords="898,1732,961,1696,1731">se</WORD>
<WORD coords="1016,1730,1145,1675,1729">dio.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="970,1838,1456,1780,1835">Demostración,</WORD>
<WORD coords="1544,1837,1608,1778,1836">Si</WORD>
<WORD coords="1669,1837,1742,1799,1836">en</WORD>
<WORD coords="1815,1839,1869,1781,1837">el</WORD>
<WORD coords="1922,1855,2240,1780,1837">quebrado</WORD>
<WORD coords="2310,1857,2633,1781,1838">primitivo</WORD>
<WORD coords="2702,1838,2786,1785,1837">24</WORD>
<WORD coords="2847,1837,3072,1776,1835">divido</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2700,1944,2775,1894,1943">83</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="708,2033,924,1974,2030">ambos</WORD>
<WORD coords="972,2029,1270,1971,2026">términos</WORD>
<WORD coords="1320,2047,1430,1986,2024">por</WORD>
<WORD coords="1463,2027,1519,1967,2025">el</WORD>
<WORD coords="1565,2026,1939,1968,2024">numerador</WORD>
<WORD coords="1973,2028,2052,1976,2027">24</WORD>
<WORD coords="2080,2039,2097,2013,2033">,</WORD>
<WORD coords="2126,2028,2190,1991,2028">se</WORD>
<WORD coords="2236,2030,2585,1971,2027">convertirá</WORD>
<WORD coords="2620,2028,2693,1989,2027">en</WORD>
<WORD coords="2826,2025,2850,1972,2025">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2831,2130,2873,2077,2132">3</WORD>
<WORD coords="2904,2134,2944,2070,2134">t</WORD>
<WORD coords="2982,2129,3051,2076,2128">11</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="944,2244,1007,2189,2243">Si</WORD>
<WORD coords="1070,2244,1143,2205,2243">en</WORD>
<WORD coords="1188,2241,1242,2185,2241">el</WORD>
<WORD coords="1305,2240,1758,2182,2239">denominador</WORD>
<WORD coords="1805,2241,1881,2183,2240">de</WORD>
<WORD coords="1930,2241,2060,2195,2240">este</WORD>
<WORD coords="2121,2258,2438,2183,2238">quebrado</WORD>
<WORD coords="2487,2259,2814,2181,2238">desprecio</WORD>
<WORD coords="2981,2237,3065,2186,2237">24</WORD>
</LINE>
<LINE>
<WORD coords="689,2356,745,2299,2353">el</WORD>
<WORD coords="821,2372,1141,2294,2351">quebrado</WORD>
<WORD coords="1202,2368,1320,2313,2348">que</WORD>
<WORD coords="1368,2367,1702,2294,2347">acompaña</WORD>
<WORD coords="1752,2348,1808,2291,2347">al</WORD>
<WORD coords="1869,2345,1900,2296,2346">3</WORD>
<WORD coords="1934,2364,1950,2336,2357">,</WORD>
<WORD coords="1991,2350,2215,2291,2347">tendré</WORD>
<WORD coords="2271,2346,2326,2291,2346">ei</WORD>
<WORD coords="2373,2367,2691,2291,2347">quebrado</WORD>
<WORD coords="2751,2347,2775,2300,2347">1</WORD>
<WORD coords="2843,2367,3061,2305,2345">mayor</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2759,2455,2793,2408,2455">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="687,2560,809,2505,2540">que</WORD>
<WORD coords="871,2539,926,2484,2538">el</WORD>
<WORD coords="989,2557,1308,2481,2536">primitivo</WORD>
<WORD coords="1339,2553,1356,2525,2552">,</WORD>
<WORD coords="1404,2551,1638,2499,2534">porque</WORD>
<WORD coords="1697,2553,2184,2478,2534">disminuyendo</WORD>
<WORD coords="2243,2534,2297,2478,2534">el</WORD>
<WORD coords="2353,2536,2807,2479,2535">denominador</WORD>
<WORD coords="2837,2537,3058,2478,2534">hemos</WORD>
</LINE>
<LINE>
<WORD coords="685,2667,714,2604,2658">(</WORD>
<WORD coords="757,2650,868,2600,2648">108</WORD>
<WORD coords="907,2666,931,2592,2656">)</WORD>
<WORD coords="978,2647,1352,2590,2643">aumentado</WORD>
<WORD coords="1403,2643,1459,2585,2642">el</WORD>
<WORD coords="1510,2661,1848,2586,2642">qutbrado.</WORD>
<WORD coords="1948,2643,2039,2587,2642">En</WORD>
<WORD coords="2098,2643,2206,2607,2642">vez</WORD>
<WORD coords="2258,2644,2332,2588,2643">de</WORD>
<WORD coords="2382,2659,2730,2588,2642">despreciar</WORD>
<WORD coords="2781,2643,2835,2591,2643">el</WORD>
<WORD coords="2899,2662,3049,2606,2643">que-</WORD>
</LINE>
<LINE>
<WORD coords="686,2761,885,2702,2758">brado</WORD>
<WORD coords="942,2758,1006,2710,2755">11</WORD>
<WORD coords="1068,2752,1469,2696,2751">añadámosle</WORD>
<WORD coords="1523,2749,1581,2694,2749">al</WORD>
<WORD coords="1636,2765,1722,2700,2760">3,</WORD>
<WORD coords="1784,2770,1932,2711,2748">pero</WORD>
<WORD coords="2003,2768,2271,2694,2749">después</WORD>
<WORD coords="2332,2751,2409,2693,2750">de</WORD>
<WORD coords="2465,2750,2698,2693,2748">dividir</WORD>
<WORD coords="2756,2749,2860,2712,2748">sus</WORD>
<WORD coords="2935,2751,3051,2693,2749">dos</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="809,2850,813,2845,2856">■</WORD>
<WORD coords="939,2862,1021,2814,2861">24</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="686,2953,990,2890,2946">términos</WORD>
<WORD coords="1046,2958,1157,2904,2942">por</WORD>
<WORD coords="1200,2942,1257,2886,2941">el</WORD>
<WORD coords="1301,2941,1680,2880,2938">numerador</WORD>
<WORD coords="1733,2939,1794,2889,2939">11</WORD>
<WORD coords="1849,2937,1907,2882,2935">lo</WORD>
<WORD coords="1968,2954,2087,2901,2938">que</WORD>
<WORD coords="2133,2937,2208,2882,2937">da</WORD>
<WORD coords="2812,2938,2834,2885,2938">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="772,3056,838,3001,3055">Si</WORD>
<WORD coords="894,3071,1355,2994,3051">despreciamos</WORD>
<WORD coords="1402,3048,1458,2991,3047">el</WORD>
<WORD coords="1504,3048,1540,2998,3048">2</WORD>
<WORD coords="1572,3061,1591,3033,3061">%</WORD>
<WORD coords="1637,3050,1747,3007,3047">nos</WORD>
<WORD coords="1802,3069,2073,2988,3044">quedará</WORD>
<WORD coords="2126,3048,2150,2998,3048">1</WORD>
<WORD coords="2201,3066,2321,3009,3047">que</WORD>
<WORD coords="2821,3044,2855,2997,3045">2</WORD>
<WORD coords="2903,3059,2946,2992,3053">+</WORD>
<WORD coords="2993,3042,3029,2992,3042">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1469,3155,1539,3065,3155">1?</WORD>
<WORD coords="2106,3157,2141,3110,3157">2</WORD>
<WORD coords="2972,3153,3041,3070,3153">ñ</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="682,3251,957,3186,3243">añadido</WORD>
<WORD coords="985,3242,1038,3185,3241">al</WORD>
<WORD coords="1069,3240,1516,3180,3237">denominador</WORD>
<WORD coords="1549,3233,1581,3185,3235">3</WORD>
<WORD coords="1616,3238,1714,3178,3235">del</WORD>
<WORD coords="1751,3255,1980,3179,3236">primer</WORD>
<WORD coords="2014,3255,2323,3181,3236">quebrado</WORD>
<WORD coords="2356,3240,2628,3182,3236">resulta..</WORD>
<WORD coords="2824,3233,2847,3184,3233">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="680,3378,720,3316,3378">y</WORD>
<WORD coords="760,3378,852,3301,3352">rje</WORD>
<WORD coords="879,3354,1084,3295,3351">:utado</WORD>
<WORD coords="1115,3350,1169,3296,3349">la</WORD>
<WORD coords="1201,3348,1548,3290,3346">indicación</WORD>
<WORD coords="1583,3360,1600,3332,3354">,</WORD>
<WORD coords="1625,3348,1690,3310,3347">es</WORD>
<WORD coords="1725,3365,1890,3290,3344">igual</WORD>
<WORD coords="1930,3345,1955,3310,3345">a</WORD>
<WORD coords="1993,3344,2028,3299,3344">2</WORD>
<WORD coords="2066,3360,2080,3335,3360">,</WORD>
<WORD coords="2112,3362,2428,3289,3343">quebrado</WORD>
<WORD coords="2462,3346,2590,3309,3345">me-</WORD>
<WORD coords="2832,3344,2865,3296,3344">3</WORD>
<WORD coords="2914,3348,2953,3288,3348">t</WORD>
<WORD coords="3004,3344,3033,3292,3344">t</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1989,3455,2043,3373,3453">?</WORD>
<WORD coords="3021,3449,3061,3398,3449">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="675,3549,796,3509,3544">iior</WORD>
<WORD coords="826,3552,943,3506,3540">que</WORD>
<WORD coords="991,3540,1044,3486,3539">el</WORD>
<WORD coords="1081,3550,1400,3482,3536">primitivo</WORD>
<WORD coords="1437,3541,1453,3503,3541">:</WORD>
<WORD coords="1501,3556,1737,3498,3535">porque</WORD>
<WORD coords="1770,3536,1825,3479,3535">el</WORD>
<WORD coords="1861,3550,2179,3477,3532">primitivo</WORD>
<WORD coords="2224,3532,2288,3495,3532">es</WORD>
<WORD coords="2438,3539,2453,3519,3537">♦</WORD>
<WORD coords="2486,3533,2511,3484,3533">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="679,3673,720,3614,3660">y</WORD>
<WORD coords="758,3648,936,3612,3647">como</WORD>
<WORD coords="974,3646,1189,3589,3644">hemos</WORD>
<WORD coords="1224,3664,1480,3585,3643">quitado</WORD>
<WORD coords="1510,3641,1561,3588,3640">el</WORD>
<WORD coords="1597,3642,1631,3596,3642">2</WORD>
<WORD coords="1680,3641,1781,3585,3640">del</WORD>
<WORD coords="1815,3640,2262,3584,3638">denominador</WORD>
<WORD coords="2486,3639,2518,3590,3640">3</WORD>
<WORD coords="2697,3639,2723,3587,3639">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1570,3748,1596,3699,3747">1</WORD>
<WORD coords="1611,3747,1636,3674,3747">í</WORD>
<WORD coords="2693,3748,2730,3700,3748">2</WORD>
<WORD coords="2796,3748,2875,3686,3743">4-</WORD>
<WORD coords="2944,3740,2978,3693,3740">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="673,3870,712,3817,3870">2</WORD>
<WORD coords="745,3884,764,3853,3884">f</WORD>
<WORD coords="814,3863,880,3822,3862">se</WORD>
<WORD coords="939,3860,1020,3799,3860">ha</WORD>
<WORD coords="1068,3859,1443,3800,3857">aumentado</WORD>
<WORD coords="1498,3858,1555,3802,3858">ei</WORD>
<WORD coords="1603,3881,1920,3798,3860">quebrado</WORD>
<WORD coords="1971,3853,1995,3803,3856">1</WORD>
<WORD coords="2035,3874,2055,3840,3874">,</WORD>
<WORD coords="2113,3879,2152,3816,3870">y</WORD>
<WORD coords="2185,3861,2434,3819,3859">aumea»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1955,3962,2009,3886,3962">I</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0090.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0091.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0091.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1346,536,1482,444,536">81</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="233,655,382,595,653">tado</WORD>
<WORD coords="431,668,584,605,650">este,</WORD>
<WORD coords="625,652,686,594,651">lo</WORD>
<WORD coords="730,653,808,596,652">ha</WORD>
<WORD coords="855,671,1143,593,650">quedado</WORD>
<WORD coords="1193,650,1246,595,649">el</WORD>
<WORD coords="1293,652,1554,613,651">numero</WORD>
<WORD coords="1612,654,1803,596,652">misto</WORD>
<WORD coords="1861,671,1979,616,654">que</WORD>
<WORD coords="2029,654,2095,617,654">es</WORD>
<WORD coords="2151,656,2221,604,656">el.</WORD>
<WORD coords="2242,663,2598,604,658">denomina*</WORD>
</LINE>
<LINE>
<WORD coords="228,766,350,710,764">dbr</WORD>
<WORD coords="412,785,453,727,782">y</WORD>
<WORD coords="502,779,612,723,759">por</WORD>
<WORD coords="663,784,1093,705,760">consiguiente</WORD>
<WORD coords="1141,762,1292,705,761">todo</WORD>
<WORD coords="1349,762,1406,708,761">el</WORD>
<WORD coords="1465,781,1801,706,762">quebrado.</WORD>
<WORD coords="1896,767,1957,709,763">8i</WORD>
<WORD coords="1996,766,2067,730,765">en</WORD>
<WORD coords="2131,766,2248,729,765">vez</WORD>
<WORD coords="2319,765,2395,709,765">de</WORD>
<WORD coords="2456,768,2597,712,767">des-</WORD>
</LINE>
<LINE>
<WORD coords="230,892,473,813,870">preciar</WORD>
<WORD coords="522,870,580,812,869">el</WORD>
<WORD coords="611,869,646,819,870">2</WORD>
<WORD coords="685,884,703,857,877">,</WORD>
<WORD coords="761,870,1103,811,869">dividimos</WORD>
<WORD coords="1165,872,1272,832,869">sus</WORD>
<WORD coords="1340,878,1455,812,872">dos</WORD>
<WORD coords="1500,873,1801,815,870">términos</WORD>
<WORD coords="1852,894,1965,834,872">por</WORD>
<WORD coords="2015,874,2089,835,872">su</WORD>
<WORD coords="2135,874,2508,817,872">numerador</WORD>
<WORD coords="2551,875,2590,825,875">%</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="596,977,669,896,977">ñ</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="232,1081,274,1019,1081">f</WORD>
<WORD coords="331,1061,387,1002,1059">el</WORD>
<WORD coords="442,1061,760,1003,1059">resultado</WORD>
<WORD coords="829,1062,1156,1003,1060">añadimos</WORD>
<WORD coords="1208,1062,1269,1001,1059">al</WORD>
<WORD coords="1338,1067,1792,1002,1061">denominador</WORD>
<WORD coords="1842,1065,2114,1004,1062">anterior</WORD>
<WORD coords="2146,1077,2163,1050,1072">,</WORD>
<WORD coords="2206,1067,2317,1025,1064">nos</WORD>
<WORD coords="2362,1069,2601,1002,1059">vendrá</WORD>
</LINE>
<LINE>
<WORD coords="233,1168,320,1127,1166">«n</WORD>
<WORD coords="368,1184,705,1108,1166">«quebrado</WORD>
<WORD coords="765,1187,928,1129,1166">cuyo</WORD>
<WORD coords="976,1169,1428,1107,1164">denominador</WORD>
<WORD coords="1489,1166,1630,1128,1165">sera</WORD>
<WORD coords="1678,1167,1758,1130,1167">un</WORD>
<WORD coords="1805,1171,2064,1131,1168">numero</WORD>
<WORD coords="2111,1171,2295,1113,1168">misto</WORD>
<WORD coords="2333,1180,2349,1136,1180">;</WORD>
<WORD coords="2401,1187,2440,1130,1176">y</WORD>
<WORD coords="2483,1166,2599,1127,1165">coa</WORD>
</LINE>
<LINE>
<WORD coords="233,1274,291,1216,1273">el</WORD>
<WORD coords="338,1290,657,1213,1271">quebrado</WORD>
<WORD coords="694,1272,774,1216,1272">de</WORD>
<WORD coords="818,1274,947,1227,1273">este</WORD>
<WORD coords="987,1274,1299,1214,1271">haríamos</WORD>
<WORD coords="1354,1271,1416,1214,1270">lo</WORD>
<WORD coords="1472,1276,1699,1216,1273">mismo</WORD>
<WORD coords="1745,1294,1865,1231,1279">qué</WORD>
<WORD coords="1911,1275,2023,1237,1273">con</WORD>
<WORD coords="2073,1278,2161,1218,1275">los</WORD>
<WORD coords="2194,1277,2360,1232,1274">otros</WORD>
<WORD coords="2396,1290,2413,1263,1284">,</WORD>
<WORD coords="2456,1278,2601,1218,1275">has-</WORD>
</LINE>
<LINE>
<WORD coords="226,1380,292,1333,1378">ta</WORD>
<WORD coords="349,1396,467,1341,1378">que</WORD>
<WORD coords="516,1377,595,1340,1377">no</WORD>
<WORD coords="640,1398,800,1320,1378">haya</WORD>
<WORD coords="845,1378,1030,1333,1377">resta.</WORD>
<WORD coords="1128,1376,1282,1320,1375">Pero</WORD>
<WORD coords="1326,1378,1384,1320,1377">el</WORD>
<WORD coords="1400,1399,1414,1375,1399">t</WORD>
<WORD coords="1437,1383,1689,1323,1379">método</WORD>
<WORD coords="1745,1398,1864,1344,1381">que</WORD>
<WORD coords="1914,1387,2135,1324,1381">hemos</WORD>
<WORD coords="2209,1400,2472,1325,1380">seguido</WORD>
<WORD coords="2527,1379,2595,1343,1378">es</WORD>
</LINE>
<LINE>
<WORD coords="233,1489,290,1431,1486">el</WORD>
<WORD coords="332,1486,557,1428,1483">mismo</WORD>
<WORD coords="633,1500,753,1447,1483">que</WORD>
<WORD coords="841,1484,904,1448,1484">se</WORD>
<WORD coords="951,1485,1030,1426,1484">ha</WORD>
<WORD coords="1104,1503,1404,1427,1484">prescrito</WORD>
<WORD coords="1464,1504,1608,1447,1487">para</WORD>
<WORD coords="1659,1491,1851,1428,1486">hallar</WORD>
<WORD coords="1904,1488,1959,1429,1486">el</WORD>
<WORD coords="2016,1489,2313,1431,1486">macsimo</WORD>
<WORD coords="2374,1488,2601,1449,1485">común</WORD>
</LINE>
<LINE>
<WORD coords="233,1594,474,1536,1590">divisor</WORD>
<WORD coords="502,1607,521,1544,1603">j</WORD>
<WORD coords="575,1603,723,1552,1588">pues</WORD>
<WORD coords="768,1591,986,1530,1589">hemos</WORD>
<WORD coords="1046,1590,1336,1532,1589">dividido</WORD>
<WORD coords="1382,1591,1439,1536,1591">el</WORD>
<WORD coords="1518,1613,1732,1555,1592">mayor</WORD>
<WORD coords="1777,1597,2046,1536,1592">termino</WORD>
<WORD coords="2095,1593,2201,1535,1592">del</WORD>
<WORD coords="2277,1614,2597,1538,1594">quebrado</WORD>
</LINE>
<LINE>
<WORD coords="219,1716,347,1657,1697">&quot;por</WORD>
<WORD coords="392,1695,450,1642,1695">el</WORD>
<WORD coords="495,1696,707,1657,1695">menor</WORD>
<WORD coords="742,1719,765,1681,1708">,</WORD>
<WORD coords="818,1697,951,1651,1696">este</WORD>
<WORD coords="1007,1717,1120,1659,1698">por</WORD>
<WORD coords="1174,1698,1226,1641,1696">la</WORD>
<WORD coords="1277,1713,1540,1640,1697">primera</WORD>
<WORD coords="1600,1717,1811,1655,1699">resta,</WORD>
<WORD coords="1854,1700,1910,1643,1699">la</WORD>
<WORD coords="1971,1715,2235,1642,1697">primera</WORD>
<WORD coords="2283,1707,2445,1656,1699">resta</WORD>
<WORD coords="2488,1718,2599,1661,1702">por</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="227,1808,300,1749,1806">la*</WORD>
<WORD coords="332,1826,609,1746,1802">segunda</WORD>
<WORD coords="647,1818,662,1792,1811">,</WORD>
<WORD coords="722,1802,835,1747,1801">&amp;c.</WORD>
<WORD coords="891,1821,929,1767,1813">y</WORD>
<WORD coords="978,1803,1007,1749,1804">á</WORD>
<WORD coords="1053,1803,1144,1749,1802">los</WORD>
<WORD coords="1208,1805,1522,1746,1804">cocientes</WORD>
<WORD coords="1580,1808,1802,1746,1806">hemos</WORD>
<WORD coords="1863,1826,2081,1757,1803">puesto</WORD>
<WORD coords="2147,1824,2258,1767,1811">ppr</WORD>
<WORD coords="2310,1813,2598,1768,1808">numera*</WORD>
</LINE>
<LINE>
<WORD coords="231,1891,350,1832,1889">dor</WORD>
<WORD coords="403,1886,460,1833,1886">la</WORD>
<WORD coords="518,1900,799,1830,1884">unidad,;</WORD>
<WORD coords="855,1904,1026,1830,1884">luego</WORD>
<WORD coords="1076,1888,1199,1829,1887">&amp;?c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="295,1984,306,1968,1979">..</WORD>
<WORD coords="311,2002,338,1966,2002">t</WORD>
<WORD coords="387,1975,391,1973,1973">.</WORD>
<WORD coords="482,1968,575,1911,1968">La</WORD>
<WORD coords="629,1970,690,1920,1969">2.</WORD>
<WORD coords="714,1946,750,1916,1946">w</WORD>
<WORD coords="820,1989,990,1913,1966">regla</WORD>
<WORD coords="1036,1969,1198,1912,1968">dada</WORD>
<WORD coords="1243,1988,1388,1931,1970">para</WORD>
<WORD coords="1436,1971,1631,1914,1969">hallar</WORD>
<WORD coords="1688,1972,1780,1916,1971">los</WORD>
<WORD coords="1841,1973,2180,1914,1970">diferentes</WORD>
<WORD coords="2224,1974,2463,1916,1973">valores</WORD>
<WORD coords="2496,1972,2602,1934,1972">en»</WORD>
</LINE>
<LINE>
<WORD coords="227,2093,326,2034,2080">trq</WORD>
<WORD coords="392,2079,485,2024,2078">los</WORD>
<WORD coords="569,2098,691,2042,2080">que</WORD>
<WORD coords="755,2079,821,2041,2078">se</WORD>
<WORD coords="887,2080,1218,2035,2079">encuentra</WORD>
<WORD coords="1264,2082,1320,2026,2081">el</WORD>
<WORD coords="1375,2100,1693,2025,2080">quebrado</WORD>
<WORD coords="1753,2098,1968,2025,2081">dado,</WORD>
<WORD coords="2022,2082,2086,2046,2081">se</WORD>
<WORD coords="2144,2083,2337,2024,2082">íunda</WORD>
<WORD coords="2409,2082,2485,2044,2081">en</WORD>
<WORD coords="2545,2081,2602,2027,2080">la</WORD>
</LINE>
<LINE>
<WORD coords="228,2214,500,2129,2188">practica</WORD>
<WORD coords="557,2203,676,2147,2184">que</WORD>
<WORD coords="735,2188,1135,2128,2184">deberíamos</WORD>
<WORD coords="1204,2207,1415,2131,2186">seguir</WORD>
<WORD coords="1461,2188,1522,2133,2187">al</WORD>
<WORD coords="1575,2208,1855,2132,2188">ejecutar</WORD>
<WORD coords="1900,2189,1992,2132,2187">las</WORD>
<WORD coords="2040,2203,2503,2131,2188">indicaciones,</WORD>
<WORD coords="2548,2189,2603,2130,2187">si</WORD>
</LINE>
<LINE>
<WORD coords="228,2311,590,2253,2291">separamos</WORD>
<WORD coords="644,2292,746,2235,2290">del</WORD>
<WORD coords="797,2309,1114,2234,2291">quebrado</WORD>
<WORD coords="1157,2295,1451,2236,2292">continuo</WORD>
<WORD coords="1504,2294,1560,2239,2294">el</WORD>
<WORD coords="1617,2314,1845,2238,2294">primer</WORD>
<WORD coords="1894,2314,2211,2239,2294">quebrado</WORD>
<WORD coords="2241,2302,2259,2279,2302">,</WORD>
<WORD coords="2328,2313,2599,2239,2296">después</WORD>
</LINE>
<LINE>
<WORD coords="227,2400,341,2342,2398">los:</WORD>
<WORD coords="379,2411,504,2340,2398">clps.</WORD>
<WORD coords="548,2417,855,2343,2400">primeros</WORD>
<WORD coords="885,2417,903,2388,2417">,</WORD>
<WORD coords="932,2422,1120,2346,2400">luego</WORD>
<WORD coords="1177,2402,1269,2346,2402">los</WORD>
<WORD coords="1330,2404,1456,2358,2403">tres</WORD>
<WORD coords="1517,2422,1817,2347,2405">primeros</WORD>
<WORD coords="1871,2427,1912,2365,2416">y</WORD>
<WORD coords="1944,2405,2030,2350,2404">asi</WORD>
<WORD coords="2067,2409,2588,2347,2403">sucesivamente»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="308,2516,323,2473,2516">i</WORD>
<WORD coords="407,2524,417,2505,2524">t</WORD>
<WORD coords="476,2505,568,2445,2504">La</WORD>
<WORD coords="613,2508,807,2468,2506">razón</WORD>
<WORD coords="864,2528,1100,2469,2507">porque</WORD>
<WORD coords="1144,2509,1241,2453,2508">los</WORD>
<WORD coords="1296,2528,1649,2451,2511">quebrados</WORD>
<WORD coords="1702,2529,1822,2475,2512">que</WORD>
<WORD coords="1870,2513,2042,2467,2512">están</WORD>
<WORD coords="2098,2513,2170,2475,2512">en</WORD>
<WORD coords="2225,2533,2403,2454,2508">lugar</WORD>
<WORD coords="2474,2509,2596,2451,2508">ím»</WORD>
</LINE>
<LINE>
<WORD coords="225,2630,336,2571,2610">par</WORD>
<WORD coords="391,2610,502,2573,2609">son</WORD>
<WORD coords="559,2633,846,2572,2611">mayores</WORD>
<WORD coords="908,2629,1026,2577,2614">que</WORD>
<WORD coords="1069,2615,1127,2558,2614">el</WORD>
<WORD coords="1187,2615,1354,2559,2614">dado</WORD>
<WORD coords="1388,2628,1403,2604,2628">,</WORD>
<WORD coords="1451,2636,1487,2581,2627">y</WORD>
<WORD coords="1541,2619,1826,2580,2617">menores</WORD>
<WORD coords="1882,2617,1973,2563,2617">ios</WORD>
<WORD coords="2006,2637,2126,2582,2619">que</WORD>
<WORD coords="2178,2618,2348,2572,2616">están</WORD>
<WORD coords="2392,2619,2466,2578,2617">en</WORD>
<WORD coords="2498,2616,2595,2562,2614">lu«</WORD>
</LINE>
<LINE>
<WORD coords="226,2738,337,2679,2714">gar</WORD>
<WORD coords="385,2729,489,2679,2716">par</WORD>
<WORD coords="522,2731,541,2704,2726">,</WORD>
<WORD coords="592,2717,659,2682,2717">es</WORD>
<WORD coords="708,2719,761,2664,2717">la</WORD>
<WORD coords="838,2721,1062,2665,2719">misma</WORD>
<WORD coords="1122,2741,1241,2685,2722">que</WORD>
<WORD coords="1298,2723,1504,2665,2721">dimos</WORD>
<WORD coords="1585,2743,1728,2687,2723">para</WORD>
<WORD coords="1800,2739,2017,2669,2723">probar</WORD>
<WORD coords="2077,2741,2194,2688,2724">que</WORD>
<WORD coords="2251,2723,2306,2670,2722">ei</WORD>
<WORD coords="2365,2741,2598,2667,2721">primejr</WORD>
</LINE>
<LINE>
<WORD coords="227,2841,548,2765,2822">quebrado</WORD>
<WORD coords="602,2823,628,2775,2825">1</WORD>
<WORD coords="680,2825,783,2787,2824">era</WORD>
<WORD coords="843,2848,1058,2787,2825">mayor</WORD>
<WORD coords="1104,2849,1143,2788,2838">y</WORD>
<WORD coords="1190,2828,1245,2772,2828">el</WORD>
<WORD coords="1300,2850,1578,2773,2828">segundo</WORD>
<WORD coords="1644,2831,1680,2783,2831">2</WORD>
<WORD coords="1768,2832,1984,2792,2831">menor</WORD>
<WORD coords="2063,2852,2183,2796,2832">que</WORD>
<WORD coords="2244,2830,2340,2779,2829">24.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="593,2928,648,2851,2907">3*</WORD>
<WORD coords="1629,2940,1684,2856,2940">f</WORD>
<WORD coords="2241,2936,2355,2859,2916">8Í&quot;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="810,3029,1395,2956,3017">QUEBRADOS</WORD>
<WORD coords="1456,3022,2037,2963,3020">DECIMALES.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="314,3122,340,3071,3120">1</WORD>
<WORD coords="355,3120,450,3071,3119">33.</WORD>
<WORD coords="449,3075,458,3045,3075">f</WORD>
<WORD coords="542,3140,901,3050,3120">SQuéirados</WORD>
<WORD coords="933,3124,1246,3067,3121">decimales</WORD>
<WORD coords="1306,3125,1426,3087,3124">son</WORD>
<WORD coords="1476,3148,1742,3069,3124">aquellos</WORD>
<WORD coords="1787,3148,1901,3089,3126">que</WORD>
<WORD coords="1956,3126,2155,3073,3125">tienen</WORD>
<WORD coords="2180,3146,2297,3078,3124">por</WORD>
<WORD coords="2328,3127,2589,3067,3125">denomi&apos;</WORD>
</LINE>
<LINE>
<WORD coords="222,3230,419,3173,3228">fiador</WORD>
<WORD coords="481,3228,555,3179,3228">10</WORD>
<WORD coords="584,3241,611,3164,3235">\</WORD>
<WORD coords="674,3228,788,3163,3227">ÍÓO</WORD>
<WORD coords="837,3230,942,3167,3228">Eífc</WORD>
<WORD coords="975,3244,991,3217,3237">,</WORD>
<WORD coords="1045,3230,1170,3183,3229">esto</WORD>
<WORD coords="1220,3230,1283,3193,3230">es</WORD>
<WORD coords="1316,3238,1332,3215,3235">,</WORD>
<WORD coords="1395,3233,1454,3177,3232">la</WORD>
<WORD coords="1517,3233,1754,3175,3231">unidad</WORD>
<WORD coords="1797,3253,2052,3175,3232">seguida</WORD>
<WORD coords="2106,3233,2176,3177,3233">de</WORD>
<WORD coords="2230,3233,2418,3195,3232">ceros.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="470,3336,538,3278,3335">Si</WORD>
<WORD coords="600,3335,654,3279,3334">la</WORD>
<WORD coords="711,3336,946,3279,3334">unidad</WORD>
<WORD coords="976,3350,990,3326,3344">,</WORD>
<WORD coords="1039,3337,1093,3301,3336">v.</WORD>
<WORD coords="1167,3359,1221,3303,3345">g,</WORD>
<WORD coords="1279,3340,1398,3302,3339">una</WORD>
<WORD coords="1458,3339,1601,3302,3338">vara</WORD>
<WORD coords="1639,3351,1653,3328,3345">,</WORD>
<WORD coords="1699,3340,1762,3304,3338">se</WORD>
<WORD coords="1809,3341,2024,3283,3339">divide</WORD>
<WORD coords="2090,3338,2167,3301,3337">e«i</WORD>
<WORD coords="2244,3339,2318,3290,3338">10</WORD>
<WORD coords="2380,3353,2584,3293,3338">partea</WORD>
</LINE>
<LINE>
<WORD coords="226,3463,506,3374,3441">iguales,</WORD>
<WORD coords="575,3442,727,3386,3441">cada</WORD>
<WORD coords="776,3460,946,3399,3441">parte</WORD>
<WORD coords="1007,3444,1072,3407,3443">se</WORD>
<WORD coords="1125,3447,1306,3389,3444">llama</WORD>
<WORD coords="1384,3446,1612,3389,3445">decima</WORD>
<WORD coords="1671,3446,1747,3391,3445">de</WORD>
<WORD coords="1797,3446,1851,3391,3446">la</WORD>
<WORD coords="1899,3445,2039,3406,3444">vara</WORD>
<WORD coords="2072,3461,2089,3413,3453">;</WORD>
<WORD coords="2136,3446,2186,3390,3445">si</WORD>
<WORD coords="2236,3442,2282,3391,3440">1*</WORD>
<WORD coords="2337,3445,2588,3389,3444">décima</WORD>
</LINE>
<LINE>
<WORD coords="217,3548,286,3510,3547">se</WORD>
<WORD coords="357,3548,571,3491,3546">divide</WORD>
<WORD coords="632,3548,705,3511,3547">en</WORD>
<WORD coords="753,3548,914,3506,3546">otras</WORD>
<WORD coords="955,3551,1028,3502,3550">10</WORD>
<WORD coords="1065,3566,1266,3508,3550">partes</WORD>
<WORD coords="1309,3574,1544,3496,3550">iguales</WORD>
<WORD coords="1579,3564,1597,3539,3558">,</WORD>
<WORD coords="1651,3553,1804,3497,3552">cada</WORD>
<WORD coords="1849,3571,2016,3509,3550">parte</WORD>
<WORD coords="2064,3551,2197,3515,3550">sera</WORD>
<WORD coords="2264,3551,2338,3503,3551">10</WORD>
<WORD coords="2395,3554,2577,3513,3551">vec^s</WORD>
</LINE>
<LINE>
<WORD coords="223,3656,440,3619,3655">menor</WORD>
<WORD coords="500,3672,618,3618,3655">que</WORD>
<WORD coords="653,3657,710,3599,3655">la</WORD>
<WORD coords="744,3656,992,3599,3654">décima</WORD>
<WORD coords="1038,3677,1077,3621,3667">y</WORD>
<WORD coords="1125,3658,1243,3607,3657">100</WORD>
<WORD coords="1273,3658,1453,3620,3657">veces</WORD>
<WORD coords="1507,3658,1721,3621,3658">menor</WORD>
<WORD coords="1772,3677,1894,3623,3658">que</WORD>
<WORD coords="1947,3658,2001,3604,3656">la</WORD>
<WORD coords="2055,3671,2335,3602,3657">unidad,</WORD>
<WORD coords="2373,3673,2479,3619,3655">por</WORD>
<WORD coords="2521,3657,2580,3603,3656">lo</WORD>
</LINE>
<LINE>
<WORD coords="227,3781,348,3725,3761">que</WORD>
<WORD coords="404,3763,468,3727,3763">se</WORD>
<WORD coords="528,3762,708,3709,3761">llama</WORD>
<WORD coords="756,3763,1077,3717,3760">centesima</WORD>
<WORD coords="1102,3776,1117,3731,3770">;</WORD>
<WORD coords="1150,3762,1199,3712,3762">si</WORD>
<WORD coords="1273,3763,1325,3712,3762">ia</WORD>
<WORD coords="1382,3765,1721,3708,3763">centésima</WORD>
<WORD coords="1767,3764,1829,3728,3763">se</WORD>
<WORD coords="1870,3765,2088,3707,3763">divide</WORD>
<WORD coords="2135,3765,2208,3730,3764">en</WORD>
<WORD coords="2258,3765,2332,3716,3764">10</WORD>
<WORD coords="2381,3782,2582,3721,3764">partes</WORD>
</LINE>
<LINE>
<WORD coords="225,3888,501,3812,3868">iguales,</WORD>
<WORD coords="531,3869,682,3813,3868">cada</WORD>
<WORD coords="715,3887,879,3826,3867">parte</WORD>
<WORD coords="925,3869,1061,3833,3867">sera</WORD>
<WORD coords="1113,3869,1249,3815,3869">diez</WORD>
<WORD coords="1285,3870,1464,3833,3869">veces</WORD>
<WORD coords="1499,3871,1711,3833,3869">menor</WORD>
<WORD coords="1741,3889,1858,3832,3869">que</WORD>
<WORD coords="1891,3868,1944,3814,3868">la</WORD>
<WORD coords="1978,3870,2318,3814,3868">centésima</WORD>
<WORD coords="2368,3887,2405,3834,3877">y</WORD>
<WORD coords="2473,3866,2582,3811,3865">mil</WORD>
</LINE>
<LINE>
<WORD coords="224,3972,404,3933,3970">ve^es</WORD>
<WORD coords="462,3973,673,3938,3972">menor</WORD>
<WORD coords="723,3993,841,3940,3973">que</WORD>
<WORD coords="892,3973,943,3924,3973">la</WORD>
<WORD coords="977,3977,1207,3920,3974">unidad</WORD>
<WORD coords="1251,3989,1266,3963,3989">,</WORD>
<WORD coords="1322,3991,1430,3937,3972">por</WORD>
<WORD coords="1462,3974,1521,3920,3973">lo</WORD>
<WORD coords="1570,3990,1686,3940,3976">que</WORD>
<WORD coords="1748,3975,1810,3940,3974">se</WORD>
<WORD coords="1859,3975,2034,3918,3973">liama</WORD>
<WORD coords="2099,3975,2387,3919,3971">milésima</WORD>
<WORD coords="2467,3973,2584,3917,3970">Del</WORD>
</LINE>
<LINE>
<WORD coords="216,4055,455,4013,4053">«outottiu</WORD>
<WORD coords="503,4059,694,4002,4058">modo</WORD>
<WORD coords="766,4058,833,4021,4057">se</WORD>
<WORD coords="898,4060,1113,4004,4058">divide</WORD>
<WORD coords="1192,4059,1347,4004,4057">cada</WORD>
<WORD coords="1412,4032,1414,4026,4044">■</WORD>
<WORD coords="1447,4029,1455,4023,4043">-</WORD>
<WORD coords="1476,4060,1714,4003,4056">itesima</WORD>
<WORD coords="1934,4060,2011,4010,4060">iO</WORD>
<WORD coords="2075,4059,2294,4004,4057">ditzmi</WORD>
<WORD coords="2310,4055,2544,4008,4057">¿eximas</WORD>
<WORD coords="2553,4073,2574,4020,0">i</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1402,4182,1498,4110,4180">1%</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0091.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0092.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0092.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1804,500,1946,410,498">82</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="684,609,840,552,608">cada</WORD>
<WORD coords="917,618,1379,554,614">diezmilesíma</WORD>
<WORD coords="1446,619,1522,579,618">en</WORD>
<WORD coords="1600,620,1677,566,620">10</WORD>
<WORD coords="1736,628,2198,564,623">cienmilésimas</WORD>
<WORD coords="2250,638,2387,570,633">Es&apos;cv</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="768,718,904,666,719">134.</WORD>
<WORD coords="930,710,939,702,721">.</WORD>
<WORD coords="1001,725,1427,662,722">Observación.</WORD>
<WORD coords="1469,726,1592,668,725">Del</WORD>
<WORD coords="1646,745,1890,670,728">párrafo</WORD>
<WORD coords="1937,734,2205,677,731">anterior</WORD>
<WORD coords="2261,737,2477,689,735">consta</WORD>
<WORD coords="2535,749,2656,697,737">que</WORD>
<WORD coords="2688,741,2744,681,739">la</WORD>
<WORD coords="2802,759,3056,688,750">décimfr</WORD>
</LINE>
<LINE>
<WORD coords="677,821,749,779,820">es</WORD>
<WORD coords="796,826,943,766,824">diez</WORD>
<WORD coords="991,829,1173,789,828">veces</WORD>
<WORD coords="1221,830,1436,791,829">menor</WORD>
<WORD coords="1487,849,1606,795,834">que</WORD>
<WORD coords="1664,835,1720,776,834">la</WORD>
<WORD coords="1764,837,2000,778,835">unidad</WORD>
<WORD coords="2038,851,2055,804,851">;</WORD>
<WORD coords="2105,857,2222,803,840">que</WORD>
<WORD coords="2269,843,2328,784,841">la</WORD>
<WORD coords="2377,845,2716,786,842">centésima</WORD>
<WORD coords="2779,849,2844,810,849">es</WORD>
<WORD coords="2893,857,3043,795,853">diez</WORD>
</LINE>
<LINE>
<WORD coords="686,929,871,887,927">veces</WORD>
<WORD coords="930,933,1143,895,932">menor</WORD>
<WORD coords="1202,953,1324,897,935">que</WORD>
<WORD coords="1356,936,1411,877,935">la</WORD>
<WORD coords="1449,956,1733,880,938">décima,</WORD>
<WORD coords="1777,940,1867,881,940">&amp;c</WORD>
<WORD coords="1903,954,1919,908,948">;</WORD>
<WORD coords="1949,942,2014,905,941">es</WORD>
<WORD coords="2060,944,2234,886,942">decir</WORD>
<WORD coords="2270,957,2286,932,952">,</WORD>
<WORD coords="2328,948,2538,904,946">consta</WORD>
<WORD coords="2603,970,2722,915,953">que</WORD>
<WORD coords="2769,955,2855,898,954">las</WORD>
<WORD coords="2904,960,3040,903,958">uni-</WORD>
</LINE>
<LINE>
<WORD coords="670,1035,869,975,1034">dades</WORD>
<WORD coords="929,1042,1265,979,1039">decimales</WORD>
<WORD coords="1309,1064,1527,984,1043">siguen</WORD>
<WORD coords="1571,1045,1633,989,1044">el</WORD>
<WORD coords="1680,1047,1944,988,1046">sistema</WORD>
<WORD coords="2002,1068,2278,991,1049">décuplo</WORD>
<WORD coords="2352,1053,2430,995,1052">de</WORD>
<WORD coords="2503,1055,2603,1017,1054">ser</WORD>
<WORD coords="2655,1065,2801,1002,1060">diez</WORD>
<WORD coords="2857,1068,3041,1025,1064">veces</WORD>
</LINE>
<LINE>
<WORD coords="677,1145,966,1098,1142">menores</WORD>
<WORD coords="1020,1151,1171,1106,1148">una3</WORD>
<WORD coords="1246,1167,1528,1106,1149">respecto</WORD>
<WORD coords="1590,1152,1668,1095,1152">de</WORD>
<WORD coords="1713,1154,1875,1108,1152">otras</WORD>
<WORD coords="1913,1171,1929,1121,1171">;</WORD>
<WORD coords="1989,1177,2170,1100,1155">luego</WORD>
<WORD coords="2224,1157,2310,1103,1156">las</WORD>
<WORD coords="2389,1177,2719,1103,1160">podremos</WORD>
<WORD coords="2778,1174,3039,1113,1169">escribir</WORD>
</LINE>
<LINE>
<WORD coords="677,1246,781,1185,1246">del</WORD>
<WORD coords="828,1252,1059,1193,1250">mismo</WORD>
<WORD coords="1137,1272,1328,1198,1254">iqpde</WORD>
<WORD coords="1389,1278,1532,1201,1269">(27)</WORD>
<WORD coords="1585,1277,1706,1221,1260">que</WORD>
<WORD coords="1759,1264,1850,1204,1262">los</WORD>
<WORD coords="1875,1279,2194,1216,1262">.enteros,</WORD>
<WORD coords="2242,1283,2498,1208,1265">quienes</WORD>
<WORD coords="2528,1289,2747,1212,1269">siguen</WORD>
<WORD coords="2780,1276,2837,1218,1275">el</WORD>
<WORD coords="2882,1280,3033,1221,1278">mis-</WORD>
</LINE>
<LINE>
<WORD coords="666,1355,774,1310,1354">mo</WORD>
<WORD coords="832,1359,1088,1299,1357">sistema</WORD>
<WORD coords="1118,1373,1134,1347,1373">,</WORD>
<WORD coords="1183,1380,1225,1322,1372">y</WORD>
<WORD coords="1283,1363,1498,1305,1361">omitir</WORD>
<WORD coords="1558,1366,1664,1328,1365">sus</WORD>
<WORD coords="1705,1371,2247,1310,1368">denominadores.</WORD>
<WORD coords="3012,1388,3031,1352,1388">é</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="929,1464,1052,1405,1463">Por</WORD>
<WORD coords="1104,1467,1276,1419,1466">tanto</WORD>
<WORD coords="1304,1484,1323,1455,1480">,</WORD>
<WORD coords="1380,1470,1468,1410,1469">las</WORD>
<WORD coords="1527,1472,1788,1412,1471">décimas</WORD>
<WORD coords="1847,1489,2153,1436,1474">ocuparan</WORD>
<WORD coords="2212,1478,2267,1420,1476">el</WORD>
<WORD coords="2315,1479,2375,1427,1477">2.</WORD>
<WORD coords="2399,1463,2439,1423,1469">°</WORD>
<WORD coords="2508,1503,2685,1422,1481">lugar</WORD>
<WORD coords="2731,1485,2859,1430,1484">acia</WORD>
<WORD coords="2929,1490,3037,1431,1489">de*</WORD>
</LINE>
<LINE>
<WORD coords="669,1569,858,1508,1567">fecha</WORD>
<WORD coords="916,1589,1186,1512,1570">después</WORD>
<WORD coords="1244,1574,1323,1516,1574">de</WORD>
<WORD coords="1384,1577,1475,1518,1574">las</WORD>
<WORD coords="1523,1579,1825,1520,1578">unidades</WORD>
<WORD coords="1859,1594,1876,1567,1594">,</WORD>
<WORD coords="1926,1599,1965,1542,1599">y</WORD>
<WORD coords="2018,1602,2159,1544,1581">para</WORD>
<WORD coords="2235,1604,2353,1548,1586">que</WORD>
<WORD coords="2407,1588,2486,1550,1587">no</WORD>
<WORD coords="2553,1591,2619,1552,1590">se</WORD>
<WORD coords="2674,1606,3034,1532,1591">confunda?</WORD>
</LINE>
<LINE>
<WORD coords="669,1674,788,1633,1672">con</WORD>
<WORD coords="835,1676,925,1620,1675">los</WORD>
<WORD coords="971,1679,1216,1630,1677">enteros</WORD>
<WORD coords="1249,1695,1271,1666,1695">,</WORD>
<WORD coords="1317,1698,1692,1625,1683">pondremos</WORD>
<WORD coords="1740,1702,2008,1628,1686">después</WORD>
<WORD coords="2064,1690,2141,1632,1689">de</WORD>
<WORD coords="2203,1697,2368,1646,1692">estos</WORD>
<WORD coords="2421,1696,2540,1658,1695">una</WORD>
<WORD coords="2593,1697,2760,1657,1696">come</WORD>
<WORD coords="2816,1716,2940,1663,1699">que</WORD>
<WORD coords="2968,1704,3037,1660,1702">se</WORD>
</LINE>
<LINE>
<WORD coords="665,1779,855,1718,1778">llama</WORD>
<WORD coords="903,1782,1073,1740,1780">coma</WORD>
<WORD coords="1126,1786,1382,1725,1783">decimal</WORD>
<WORD coords="1400,1803,1416,1751,1798">¡</WORD>
<WORD coords="1490,1790,1549,1749,1789">v.</WORD>
<WORD coords="1630,1810,1691,1753,1797">g.</WORD>
<WORD coords="1788,1793,1942,1737,1792">Para</WORD>
<WORD coords="1999,1798,2257,1739,1795">escribir</WORD>
<WORD coords="2315,1798,2349,1747,1798">3</WORD>
<WORD coords="2407,1802,2595,1762,1800">varas</WORD>
<WORD coords="2657,1805,2693,1750,1805">7</WORD>
<WORD coords="2750,1816,3045,1748,1804">decimos*</WORD>
</LINE>
<LINE>
<WORD coords="666,1899,1127,1846,1886">espresaremos</WORD>
<WORD coords="1184,1889,1277,1834,1889">asi</WORD>
<WORD coords="1312,1895,1326,1856,1897">:</WORD>
<WORD coords="1374,1894,1407,1841,1896">3</WORD>
<WORD coords="1443,1908,1461,1880,1908">f</WORD>
<WORD coords="1494,1897,1549,1842,1897">7.</WORD>
<WORD coords="1640,1897,1766,1839,1897">Las</WORD>
<WORD coords="1824,1900,2181,1845,1898">centesimas</WORD>
<WORD coords="2227,1924,2541,1864,1905">ocuparan</WORD>
<WORD coords="2597,1911,2653,1853,1909">el</WORD>
<WORD coords="2693,1911,2893,1863,1908">tercer</WORD>
<WORD coords="2935,1911,3031,1855,1910">la*</WORD>
</LINE>
<LINE>
<WORD coords="667,2015,779,1952,1992">gar</WORD>
<WORD coords="824,1994,1136,1936,1992">contando</WORD>
<WORD coords="1195,2000,1387,1939,1998">desde</WORD>
<WORD coords="1445,2002,1533,1943,2000">las</WORD>
<WORD coords="1585,2006,1891,1947,2004">unidades</WORD>
<WORD coords="1937,2006,1975,1950,2006">ó</WORD>
<WORD coords="2038,2011,2227,1952,2009">desde</WORD>
<WORD coords="2273,2014,2328,1956,2012">la</WORD>
<WORD coords="2374,2015,2547,1975,2013">coma</WORD>
<WORD coords="2577,2027,2592,1979,2020">;</WORD>
<WORD coords="2638,2014,2724,1956,2013">asi</WORD>
<WORD coords="2762,2012,2793,1963,2012">3</WORD>
<WORD coords="2840,2015,3027,1973,2013">varas</WORD>
</LINE>
<LINE>
<WORD coords="676,2118,722,2058,2115">y</WORD>
<WORD coords="781,2099,816,2044,2106">7</WORD>
<WORD coords="872,2105,1225,2043,2100">centesimos</WORD>
<WORD coords="1281,2105,1348,2066,2104">se</WORD>
<WORD coords="1406,2111,1696,2052,2108">escribirá</WORD>
<WORD coords="1744,2112,1822,2055,2111">de</WORD>
<WORD coords="1899,2114,2031,2067,2113">esta</WORD>
<WORD coords="2077,2120,2335,2071,2116">suerte:</WORD>
<WORD coords="2399,2133,2620,2070,2125">3,07.</WORD>
<WORD coords="2712,2124,2836,2064,2123">Las</WORD>
<WORD coords="2917,2123,3029,2083,2122">mu</WORD>
</LINE>
<LINE>
<WORD coords="666,2206,911,2147,2204">iesimas</WORD>
<WORD coords="965,2210,1208,2162,2207">estaran</WORD>
<WORD coords="1258,2211,1333,2172,2210">en</WORD>
<WORD coords="1370,2214,1431,2160,2214">4.</WORD>
<WORD coords="1456,2196,1494,2159,2206">°</WORD>
<WORD coords="1562,2239,1742,2157,2218">lugar</WORD>
<WORD coords="1775,2225,1794,2186,2222">;</WORD>
<WORD coords="1843,2220,1930,2163,2219">las</WORD>
<WORD coords="1978,2224,2120,2165,2223">dkz</WORD>
<WORD coords="2152,2226,2478,2169,2223">milésimas</WORD>
<WORD coords="2533,2229,2608,2191,2228">en</WORD>
<WORD coords="2672,2228,2727,2177,2223">5.</WORD>
<WORD coords="2756,2210,2792,2173,2210">o</WORD>
<WORD coords="2845,2248,2884,2191,2240">y</WORD>
<WORD coords="2937,2230,2956,2172,2230">i</WORD>
<WORD coords="2963,2231,2991,2191,2231">a</WORD>
<WORD coords="2998,2233,3029,2184,2233">$</WORD>
</LINE>
<LINE>
<WORD coords="680,2315,1170,2256,2313">Cienmilésimas</WORD>
<WORD coords="1229,2319,1307,2279,2318">en</WORD>
<WORD coords="1350,2320,1415,2266,2321">6.</WORD>
<WORD coords="1439,2301,1476,2264,2313">°</WORD>
<WORD coords="1503,2340,1522,2309,2334">,</WORD>
<WORD coords="1555,2329,1662,2267,2323">los.</WORD>
<WORD coords="1701,2329,1909,2271,2328">cu-ales</WORD>
<WORD coords="1965,2330,2086,2271,2329">seis</WORD>
<WORD coords="2134,2350,2377,2272,2330">lugares</WORD>
<WORD coords="2435,2335,2749,2276,2333">formarán</WORD>
<WORD coords="2800,2335,2880,2297,2334">un</WORD>
<WORD coords="2926,2354,3029,2296,2336">pe-</WORD>
</LINE>
<LINE>
<WORD coords="661,2422,886,2361,2420">ríodo.</WORD>
<WORD coords="983,2422,1057,2364,2421">El</WORD>
<WORD coords="1104,2444,1385,2368,2424">segundo</WORD>
<WORD coords="1429,2447,1690,2371,2429">período</WORD>
<WORD coords="1750,2433,1883,2396,2433">sera</WORD>
<WORD coords="1931,2435,2127,2378,2434">délas</WORD>
<WORD coords="2177,2441,2602,2381,2437">millonésimas</WORD>
<WORD coords="2633,2454,2645,2426,2447">,</WORD>
<WORD coords="2674,2440,2808,2381,2437">diez</WORD>
<WORD coords="2840,2440,3029,2382,2437">millo*</WORD>
</LINE>
<LINE>
<WORD coords="678,2529,949,2469,2526">•nesimas</WORD>
<WORD coords="978,2545,1004,2515,2545">y</WORD>
<WORD coords="1015,2530,1145,2470,2528">cien</WORD>
<WORD coords="1169,2537,1594,2475,2532">millonésimas</WORD>
<WORD coords="1621,2556,1640,2526,2556">%</WORD>
<WORD coords="1690,2545,2225,2481,2541">milmillonesimas</WORD>
<WORD coords="2284,2554,2407,2487,2550">Zfc.</WORD>
<WORD coords="2439,2556,2464,2515,2553">;</WORD>
<WORD coords="2549,2550,2602,2494,2549">el</WORD>
<WORD coords="2650,2548,2888,2502,2546">tercero</WORD>
<WORD coords="2949,2551,3030,2492,2549">de</WORD>
</LINE>
<LINE>
<WORD coords="683,2632,777,2572,2631">las</WORD>
<WORD coords="836,2638,1238,2575,2635">hillonesimas</WORD>
<WORD coords="1267,2653,1283,2623,2649">,</WORD>
<WORD coords="1339,2641,1398,2583,2639">el</WORD>
<WORD coords="1453,2645,1666,2599,2644">cuarto</WORD>
<WORD coords="1726,2649,1803,2592,2649">de</WORD>
<WORD coords="1860,2650,1946,2594,2650">las</WORD>
<WORD coords="2023,2650,2186,2582,2650">trillo</WORD>
<WORD coords="2196,2653,2263,2615,2653">ne</WORD>
<WORD coords="2263,2655,2454,2599,2653">&apos;simas</WORD>
<WORD coords="2499,2676,2538,2619,2664">y</WORD>
<WORD coords="2601,2653,2687,2598,2652">asi</WORD>
<WORD coords="2746,2656,2832,2617,2653">en,</WORD>
<WORD coords="2870,2668,3023,2598,2659">ade-</WORD>
</LINE>
<LINE>
<WORD coords="660,2745,847,2680,2740">lante.</WORD>
<WORD coords="940,2742,1038,2682,2741">De</WORD>
<WORD coords="1085,2743,1143,2688,2743">lo</WORD>
<WORD coords="1195,2749,1385,2685,2745">dicho</WORD>
<WORD coords="1434,2748,1499,2711,2748">se</WORD>
<WORD coords="1547,2755,1793,2693,2753">deduce</WORD>
<WORD coords="1852,2757,1907,2699,2755">la</WORD>
<WORD coords="1962,2760,2320,2701,2757">resolución</WORD>
<WORD coords="2365,2762,2467,2707,2760">del</WORD>
<WORD coords="2525,2784,2854,2705,2762">siguiente:</WORD>
</LINE>
<LINE>
<WORD coords="740,2850,879,2796,2850">135.</WORD>
<WORD coords="975,2854,1322,2792,2851">Problema.</WORD>
<WORD coords="1414,2858,1694,2800,2856">Escribir</WORD>
<WORD coords="1742,2862,1865,2823,2861">una</WORD>
<WORD coords="1898,2884,2195,2805,2866">fracción</WORD>
<WORD coords="2240,2869,2515,2810,2866">decimal.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="903,2962,1293,2899,2958">Resolución.</WORD>
<WORD coords="1387,2983,1683,2904,2963">Sepárese</WORD>
<WORD coords="1742,2968,1799,2909,2966">el</WORD>
<WORD coords="1854,2988,2173,2913,2968">guarismo</WORD>
<WORD coords="2250,2973,2327,2916,2972">de</WORD>
<WORD coords="2386,2975,2471,2919,2973">ias</WORD>
<WORD coords="2530,2976,2835,2918,2974">unidades</WORD>
<WORD coords="2903,2981,3023,2935,2976">eoo</WORD>
</LINE>
<LINE>
<WORD coords="669,3063,730,3004,3063">la</WORD>
<WORD coords="782,3064,959,3022,3062">coma</WORD>
<WORD coords="1012,3069,1278,3008,3066">decimal</WORD>
<WORD coords="1320,3090,1363,3032,3082">y</WORD>
<WORD coords="1406,3072,1541,3014,3070">sino</WORD>
<WORD coords="1585,3093,1708,3014,3073">hay</WORD>
<WORD coords="1765,3093,2114,3017,3074">unidades,</WORD>
<WORD coords="2173,3100,2444,3038,3078">póngase</WORD>
<WORD coords="2496,3080,2639,3041,3079">cero</WORD>
<WORD coords="2693,3100,2729,3044,3090">y</WORD>
<WORD coords="2786,3081,2857,3044,3081">en</WORD>
<WORD coords="2928,3083,3025,3044,3082">se-</WORD>
</LINE>
<LINE>
<WORD coords="660,3187,860,3109,3166">guida</WORD>
<WORD coords="904,3169,959,3112,3167">la</WORD>
<WORD coords="1007,3173,1180,3132,3172">coma</WORD>
<WORD coords="1212,3183,1237,3141,3179">;.</WORD>
<WORD coords="1277,3175,1308,3119,3177">á</WORD>
<WORD coords="1366,3181,1802,3121,3178">continuación</WORD>
<WORD coords="1847,3184,2162,3124,3181">escríbase</WORD>
<WORD coords="2194,3182,2252,3128,3182">el</WORD>
<WORD coords="2298,3188,2556,3149,3185">numero</WORD>
<WORD coords="2590,3189,2766,3150,3187">como</WORD>
<WORD coords="2794,3188,2846,3132,3187">si</WORD>
<WORD coords="2890,3193,3029,3129,3190">fue-</WORD>
</LINE>
<LINE>
<WORD coords="660,3274,732,3228,3272">ra</WORD>
<WORD coords="789,3280,1002,3227,3274">entero</WORD>
<WORD coords="1034,3295,1053,3263,3295">,</WORD>
<WORD coords="1105,3297,1254,3240,3279">pero</WORD>
<WORD coords="1314,3302,1434,3244,3284">que</WORD>
<WORD coords="1495,3306,1695,3226,3284">llegue</WORD>
<WORD coords="1740,3286,1917,3227,3285">hasta</WORD>
<WORD coords="1969,3305,2149,3231,3287">aquel</WORD>
<WORD coords="2222,3311,2398,3234,3289">lugar</WORD>
<WORD coords="2443,3308,2560,3257,3294">que</WORD>
<WORD coords="2612,3311,3030,3234,3292">corresponde</WORD>
</LINE>
<LINE>
<WORD coords="659,3379,719,3316,3377">al</WORD>
<WORD coords="747,3379,917,3321,3378">valor</WORD>
<WORD coords="945,3383,1024,3324,3383">de</WORD>
<WORD coords="1068,3385,1124,3327,3384">la</WORD>
<WORD coords="1157,3389,1424,3327,3387">decimal</WORD>
<WORD coords="1469,3402,1485,3376,3396">,</WORD>
<WORD coords="1518,3391,1574,3333,3390">el</WORD>
<WORD coords="1623,3392,1761,3335,3390">cual</WORD>
<WORD coords="1793,3392,1963,3336,3390">valor</WORD>
<WORD coords="1993,3391,2058,3354,3390">es</WORD>
<WORD coords="2102,3391,2158,3336,3391">el</WORD>
<WORD coords="2190,3394,2410,3339,3392">ultimo</WORD>
<WORD coords="2445,3413,2563,3360,3397">que</WORD>
<WORD coords="2619,3395,2682,3361,3395">se</WORD>
<WORD coords="2741,3402,3032,3341,3396">enuncia.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="908,3511,1183,3428,3488">Ejemplo</WORD>
<WORD coords="1245,3493,1299,3441,3493">I.</WORD>
<WORD coords="1338,3475,1375,3437,3486">°</WORD>
<WORD coords="1488,3499,1819,3438,3495">Escríbase</WORD>
<WORD coords="1865,3520,2207,3440,3495">quinientas</WORD>
<WORD coords="2254,3502,2634,3445,3499">veintinueve</WORD>
<WORD coords="2680,3514,3030,3444,3498">milésimas;</WORD>
</LINE>
<LINE>
<WORD coords="659,3591,846,3549,3590">como</WORD>
<WORD coords="903,3593,982,3553,3593">no</WORD>
<WORD coords="1035,3614,1159,3537,3595">hay</WORD>
<WORD coords="1213,3620,1448,3540,3597">ningún</WORD>
<WORD coords="1494,3602,1706,3556,3600">entero</WORD>
<WORD coords="1739,3619,1757,3591,3610">,</WORD>
<WORD coords="1814,3602,2056,3545,3601">escribo</WORD>
<WORD coords="2121,3604,2204,3565,3604">an</WORD>
<WORD coords="2263,3606,2405,3567,3605">cero</WORD>
<WORD coords="2457,3624,2494,3570,3624">y</WORD>
<WORD coords="2543,3626,2809,3552,3606">después</WORD>
<WORD coords="2842,3609,2892,3553,3607">la</WORD>
<WORD coords="2927,3607,3028,3570,3607">co-</WORD>
</LINE>
<LINE>
<WORD coords="657,3699,721,3656,3697">do</WORD>
<WORD coords="731,3696,763,3658,3696">a</WORD>
<WORD coords="795,3711,815,3664,3711">;</WORD>
<WORD coords="865,3719,908,3661,3713">y</WORD>
<WORD coords="953,3702,1132,3663,3700">como</WORD>
<WORD coords="1183,3704,1237,3649,3703">el</WORD>
<WORD coords="1293,3707,1558,3647,3705">decimal</WORD>
<WORD coords="1610,3722,1863,3670,3708">eapresa</WORD>
<WORD coords="1916,3710,2245,3653,3708">milésimas</WORD>
<WORD coords="2277,3727,2296,3698,3720">,</WORD>
<WORD coords="2361,3713,2588,3655,3711">deberá</WORD>
<WORD coords="2635,3711,2690,3657,3711">el</WORD>
<WORD coords="2768,3715,3028,3669,3711">numeró</WORD>
</LINE>
<LINE>
<WORD coords="656,3823,851,3744,3802">llegar</WORD>
<WORD coords="909,3805,1086,3744,3804">hasta</WORD>
<WORD coords="1118,3807,1171,3752,3806">el</WORD>
<WORD coords="1203,3810,1261,3758,3810">4.</WORD>
<WORD coords="1289,3791,1326,3755,3801">°</WORD>
<WORD coords="1379,3832,1558,3755,3812">lugar</WORD>
<WORD coords="1595,3826,1611,3800,3826">,</WORD>
<WORD coords="1655,3830,1773,3777,3813">que</WORD>
<WORD coords="1804,3814,1864,3760,3813">lo</WORD>
<WORD coords="1911,3819,2151,3759,3815">escribo</WORD>
<WORD coords="2203,3817,2278,3761,3817">de</WORD>
<WORD coords="2308,3820,2436,3772,3817">esta</WORD>
<WORD coords="2469,3820,2677,3773,3818">suerte</WORD>
<WORD coords="2716,3818,2729,3782,3817">:</WORD>
<WORD coords="2755,3817,2797,3769,3817">O</WORD>
<WORD coords="2830,3829,2844,3807,3825">,</WORD>
<WORD coords="2875,3822,3021,3765,3817">529,</WORD>
</LINE>
<LINE>
<WORD coords="827,3911,950,3853,3908">2.°</WORD>
<WORD coords="1003,3932,1378,3853,3913">Escríbase,</WORD>
<WORD coords="1424,3920,1532,3861,3916">mil</WORD>
<WORD coords="1559,3920,1693,3861,3918">diez</WORD>
<WORD coords="1753,3941,1790,3885,3932">y</WORD>
<WORD coords="1839,3924,1979,3866,3921">ocho</WORD>
<WORD coords="2036,3925,2486,3864,3921">millonésimas.</WORD>
<WORD coords="2530,3940,2702,3868,3924">Aqui</WORD>
<WORD coords="2753,3925,3022,3870,3923">observo</WORD>
</LINE>
<LINE>
<WORD coords="662,4034,786,3974,4017">que</WORD>
<WORD coords="838,4019,896,3958,4018">el</WORD>
<WORD coords="945,4021,1117,3959,4020">valor</WORD>
<WORD coords="1176,4023,1254,3962,4022">de</WORD>
<WORD coords="1285,4029,1710,3966,4025">millonésimas</WORD>
<WORD coords="1757,4048,2078,3982,4029">pertenece</WORD>
<WORD coords="2127,4031,2336,3972,4029">ai2.°</WORD>
<WORD coords="2382,4054,2643,3971,4031">periodo</WORD>
<WORD coords="2673,4046,2692,3996,4043">¿</WORD>
<WORD coords="2724,4040,3022,3973,4033">escribiré</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0092.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0093.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0093.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1338,522,1484,430,521">83</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="228,661,395,594,644">fues</WORD>
<WORD coords="419,642,705,579,637">¡mildiez</WORD>
<WORD coords="758,656,800,598,648">y</WORD>
<WORD coords="845,637,988,580,636">ocho</WORD>
<WORD coords="1019,655,1213,596,636">según</WORD>
<WORD coords="1245,657,1413,600,636">regia</WORD>
<WORD coords="1458,658,1742,583,639">general,</WORD>
<WORD coords="1773,660,1810,603,650">y</WORD>
<WORD coords="1842,641,2057,585,640">tendré</WORD>
<WORD coords="2089,642,2131,592,642">O</WORD>
<WORD coords="2164,654,2176,632,653">,</WORD>
<WORD coords="2207,652,2601,594,646">000001018.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="322,745,460,692,745">136.</WORD>
<WORD coords="561,747,912,690,743">Problema.</WORD>
<WORD coords="1004,743,1160,685,741">Leer</WORD>
<WORD coords="1232,745,1549,687,742">decimales</WORD>
<WORD coords="1592,768,1792,702,744">puras</WORD>
<WORD coords="1852,746,1882,709,746">o</WORD>
<WORD coords="1945,748,2154,695,746">mistas</WORD>
<WORD coords="2214,750,2284,698,749">de</WORD>
<WORD coords="2342,767,2602,705,757">entero**</WORD>
</LINE>
<LINE>
<WORD coords="488,852,872,793,850">Resolución,</WORD>
<WORD coords="968,850,1319,791,848">Procédase</WORD>
<WORD coords="1375,851,1558,812,849">como</WORD>
<WORD coords="1612,851,1686,815,850">en</WORD>
<WORD coords="1744,851,1833,799,850">los</WORD>
<WORD coords="1904,854,2153,812,852">enteros</WORD>
<WORD coords="2196,871,2215,843,871">,</WORD>
<WORD coords="2267,877,2609,812,860">separando</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="250,958,366,916,955">Con</WORD>
<WORD coords="409,958,620,918,956">eomas</WORD>
<WORD coords="671,977,783,922,958">por</WORD>
<WORD coords="841,958,1081,902,957">encima</WORD>
<WORD coords="1112,973,1127,946,973">,</WORD>
<WORD coords="1184,981,1363,903,955">(para</WORD>
<WORD coords="1409,956,1484,919,956">no</WORD>
<WORD coords="1519,961,1945,904,958">contundirlas</WORD>
<WORD coords="1998,963,2112,925,961">con</WORD>
<WORD coords="2165,963,2217,905,960">la</WORD>
<WORD coords="2273,968,2447,930,965">coma</WORD>
<WORD coords="2493,971,2602,917,970">de-</WORD>
</LINE>
<LINE>
<WORD coords="236,1080,459,1006,1062">cimal)</WORD>
<WORD coords="492,1080,510,1051,1072">,</WORD>
<WORD coords="561,1064,652,1009,1063">los</WORD>
<WORD coords="713,1086,1063,1009,1064">guarismos</WORD>
<WORD coords="1117,1064,1191,1007,1063">de</WORD>
<WORD coords="1245,1064,1372,1018,1062">tres</WORD>
<WORD coords="1415,1064,1490,1027,1063">en</WORD>
<WORD coords="1539,1065,1661,1020,1064">tres</WORD>
<WORD coords="1721,1066,1757,1011,1066">ó</WORD>
<WORD coords="1816,1066,1891,1011,1065">de</WORD>
<WORD coords="1941,1071,2062,1010,1067">seis</WORD>
<WORD coords="2102,1067,2176,1032,1066">en</WORD>
<WORD coords="2232,1070,2354,1015,1069">seis</WORD>
<WORD coords="2399,1090,2436,1039,1090">y</WORD>
<WORD coords="2495,1092,2599,1040,1075">po-</WORD>
</LINE>
<LINE>
<WORD coords="236,1172,469,1113,1168">niendo</WORD>
<WORD coords="518,1187,740,1125,1170">puntos</WORD>
<WORD coords="795,1191,835,1132,1181">y</WORD>
<WORD coords="893,1169,1079,1111,1168">cifras</WORD>
<WORD coords="1135,1169,1207,1132,1168">en</WORD>
<WORD coords="1266,1167,1351,1114,1166">las</WORD>
<WORD coords="1394,1192,1773,1116,1169">respectivas</WORD>
<WORD coords="1821,1171,2190,1116,1170">divisiones.</WORD>
<WORD coords="2286,1180,2461,1121,1177">Estas</WORD>
<WORD coords="2509,1181,2603,1126,1180">di-</WORD>
</LINE>
<LINE>
<WORD coords="238,1281,515,1223,1278">visiones</WORD>
<WORD coords="567,1280,629,1244,1280">se</WORD>
<WORD coords="689,1282,1091,1224,1279">continuarán</WORD>
<WORD coords="1154,1278,1457,1220,1277">haciendo</WORD>
<WORD coords="1517,1278,1629,1241,1277">con</WORD>
<WORD coords="1691,1282,1780,1224,1279">los</WORD>
<WORD coords="1826,1280,2068,1239,1279">enteros</WORD>
<WORD coords="2104,1294,2119,1269,1287">,</WORD>
<WORD coords="2164,1280,2215,1224,1278">sí</WORD>
<WORD coords="2270,1282,2332,1246,1282">se</WORD>
<WORD coords="2392,1304,2602,1233,1284">quiere</WORD>
</LINE>
<LINE>
<WORD coords="237,1386,370,1325,1384">leer</WORD>
<WORD coords="440,1385,497,1329,1384">el</WORD>
<WORD coords="547,1388,816,1328,1385">decimal</WORD>
<WORD coords="858,1386,1043,1348,1385">como</WORD>
<WORD coords="1091,1404,1411,1328,1384">quebrado</WORD>
<WORD coords="1467,1403,1774,1329,1383">impropio</WORD>
<WORD coords="1818,1401,1838,1354,1401">;</WORD>
<WORD coords="1898,1403,2042,1348,1385">pero</WORD>
<WORD coords="2097,1388,2229,1332,1386">sino</WORD>
<WORD coords="2264,1403,2281,1376,1397">,</WORD>
<WORD coords="2348,1391,2479,1341,1390">solo</WORD>
<WORD coords="2534,1396,2599,1357,1393">se</WORD>
</LINE>
<LINE>
<WORD coords="241,1492,607,1434,1490">fcstenderan</WORD>
<WORD coords="655,1492,828,1434,1491">hasta</WORD>
<WORD coords="876,1492,933,1435,1491">la</WORD>
<WORD coords="990,1491,1167,1452,1490">coma</WORD>
<WORD coords="1209,1493,1495,1434,1489">decimal.</WORD>
<WORD coords="1584,1492,1973,1433,1491">Finalmente</WORD>
<WORD coords="2004,1507,2019,1480,1501">,</WORD>
<WORD coords="2046,1495,2227,1456,1493">véase</WORD>
<WORD coords="2262,1514,2380,1459,1497">que</WORD>
<WORD coords="2431,1499,2606,1445,1498">valor</WORD>
</LINE>
<LINE>
<WORD coords="239,1600,307,1560,1599">ae</WORD>
<WORD coords="368,1618,543,1540,1595">sigue</WORD>
<WORD coords="595,1596,651,1540,1595">ai</WORD>
<WORD coords="705,1596,880,1540,1595">Valor</WORD>
<WORD coords="927,1597,1003,1539,1596">de</WORD>
<WORD coords="1063,1597,1152,1541,1596">las</WORD>
<WORD coords="1199,1598,1480,1539,1596">décimas</WORD>
<WORD coords="1540,1599,1674,1540,1597">ácia</WORD>
<WORD coords="1728,1618,2052,1540,1598">izquierda</WORD>
<WORD coords="2084,1616,2101,1584,1616">,</WORD>
<WORD coords="2151,1620,2191,1562,1612">y</WORD>
<WORD coords="2262,1604,2389,1558,1603">este</WORD>
<WORD coords="2444,1607,2583,1567,1604">sera</WORD>
</LINE>
<LINE>
<WORD coords="241,1708,302,1646,1705">ti</WORD>
<WORD coords="343,1704,599,1645,1703">nombre</WORD>
<WORD coords="646,1722,766,1665,1704">que</WORD>
<WORD coords="824,1703,891,1664,1702">se</WORD>
<WORD coords="954,1722,1362,1643,1702">pronunciará</WORD>
<WORD coords="1419,1704,1471,1645,1703">al</WORD>
<WORD coords="1523,1704,1624,1643,1703">fin.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1503,1812,1541,1761,1812">2</WORD>
<WORD coords="2064,1814,2094,1762,1814">1</WORD>
<WORD coords="2315,1818,2331,1777,1818">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,1913,789,1834,1894">Ejemplo.</WORD>
<WORD coords="882,1894,1084,1833,1892">Léase</WORD>
<WORD coords="1162,1893,1203,1842,1896">5</WORD>
<WORD coords="1246,1894,1288,1839,1896">4</WORD>
<WORD coords="1332,1891,1367,1839,1895">3</WORD>
<WORD coords="1413,1893,1450,1843,1896">2</WORD>
<WORD coords="1501,1908,1664,1840,1898">7,3</WORD>
<WORD coords="1712,1893,1749,1843,1896">5</WORD>
<WORD coords="1958,1896,1998,1843,1896">4</WORD>
<WORD coords="2040,1894,2077,1843,1896">6</WORD>
<WORD coords="2128,1899,2163,1843,1899">7</WORD>
<WORD coords="2209,1897,2243,1847,1898">8</WORD>
<WORD coords="2300,1899,2324,1850,1899">1</WORD>
<WORD coords="2467,1900,2501,1847,1899">3</WORD>
<WORD coords="2548,1903,2607,1851,1902">5.</WORD>
</LINE>
<LINE>
<WORD coords="416,2000,481,1941,1999">Si</WORD>
<WORD coords="533,1999,660,1953,1997">esta</WORD>
<WORD coords="706,2017,1025,1944,1998">espresion</WORD>
<WORD coords="1074,1999,1129,1942,1998">la</WORD>
<WORD coords="1174,1999,1272,1943,1998">leo</WORD>
<WORD coords="1329,2003,1509,1959,2000">como</WORD>
<WORD coords="1568,2002,1830,1961,2000">numero</WORD>
<WORD coords="1888,2003,2074,1945,2001">misto</WORD>
<WORD coords="2105,2020,2123,1990,2013">,</WORD>
<WORD coords="2156,2006,2326,1948,2003">leeré</WORD>
<WORD coords="2375,2025,2485,1969,2006">por</WORD>
<WORD coords="2513,2009,2607,1972,2008">se-</WORD>
</LINE>
<LINE>
<WORD coords="244,2128,479,2047,2103">parado</WORD>
<WORD coords="524,2105,614,2052,2103">los</WORD>
<WORD coords="669,2106,915,2058,2104">enteros</WORD>
<WORD coords="950,2124,991,2066,2115">y</WORD>
<WORD coords="1037,2106,1374,2047,2104">decimales</WORD>
<WORD coords="1425,2106,1517,2046,2105">asi</WORD>
<WORD coords="1546,2106,1562,2070,2107">;</WORD>
<WORD coords="1591,2110,1911,2050,2106">cincuenta</WORD>
<WORD coords="1969,2129,2009,2071,2120">y</WORD>
<WORD coords="2060,2112,2273,2062,2109">cuatro</WORD>
<WORD coords="2305,2112,2413,2058,2112">mil</WORD>
<WORD coords="2452,2115,2612,2069,2114">tres-</WORD>
</LINE>
<LINE>
<WORD coords="245,2213,478,2156,2209">tierítas</WORD>
<WORD coords="535,2211,882,2153,2209">veintisiete</WORD>
<WORD coords="935,2211,1231,2153,2209">unidades</WORD>
<WORD coords="1264,2228,1280,2198,2221">,</WORD>
<WORD coords="1312,2214,1670,2157,2211">trcscie?itos</WORD>
<WORD coords="1716,2216,2032,2158,2214">cincuenta</WORD>
<WORD coords="2085,2216,2191,2160,2215">mil</WORD>
<WORD coords="2245,2220,2537,2176,2218">cuarenta</WORD>
<WORD coords="2566,2243,2607,2186,2243">y</WORD>
</LINE>
<LINE>
<WORD coords="245,2318,366,2278,2315">seis</WORD>
<WORD coords="423,2317,689,2260,2315">millones</WORD>
<WORD coords="723,2329,740,2303,2324">,</WORD>
<WORD coords="767,2316,1127,2258,2315">setecientas</WORD>
<WORD coords="1173,2318,1425,2260,2316">ochenta</WORD>
<WORD coords="1455,2338,1503,2281,2329">y</WORD>
<WORD coords="1539,2321,1665,2280,2320">una</WORD>
<WORD coords="1696,2320,1802,2264,2319">mil</WORD>
<WORD coords="1828,2321,1908,2270,2320">35</WORD>
<WORD coords="1937,2324,2362,2263,2321">billonesimas.</WORD>
<WORD coords="2419,2347,2603,2275,2328">Aqu*</WORD>
</LINE>
<LINE>
<WORD coords="245,2439,588,2365,2419">pronuncio</WORD>
<WORD coords="648,2424,1053,2365,2421">biUonesimas</WORD>
<WORD coords="1101,2423,1159,2365,2422">al</WORD>
<WORD coords="1210,2424,1290,2364,2424">fin</WORD>
<WORD coords="1323,2442,1339,2410,2442">,</WORD>
<WORD coords="1372,2446,1606,2386,2425">porque</WORD>
<WORD coords="1638,2426,1706,2388,2425">es</WORD>
<WORD coords="1732,2428,1788,2370,2427">el</WORD>
<WORD coords="1826,2430,2000,2371,2428">valor</WORD>
<WORD coords="2046,2449,2167,2391,2431">que</WORD>
<WORD coords="2226,2453,2403,2373,2430">sigue</WORD>
<WORD coords="2453,2433,2484,2379,2433">á</WORD>
<WORD coords="2525,2435,2615,2381,2434">las</WORD>
</LINE>
<LINE>
<WORD coords="241,2532,524,2469,2527">décimas</WORD>
<WORD coords="569,2530,700,2472,2529">ácia</WORD>
<WORD coords="755,2550,1105,2472,2530">izquierda.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="501,2635,565,2578,2635">Si</WORD>
<WORD coords="624,2655,842,2580,2637">quiero</WORD>
<WORD coords="902,2639,1029,2582,2638">leer</WORD>
<WORD coords="1078,2641,1261,2599,2640">como</WORD>
<WORD coords="1315,2660,1635,2582,2640">quebrado</WORD>
<WORD coords="1689,2664,2000,2584,2643">impropio</WORD>
<WORD coords="2033,2661,2052,2632,2655">,</WORD>
<WORD coords="2115,2650,2469,2591,2647">enunciaría</WORD>
<WORD coords="2529,2650,2611,2593,2649">de</WORD>
</LINE>
<LINE>
<WORD coords="239,2741,375,2694,2741">esta</WORD>
<WORD coords="425,2744,667,2697,2742">suerte:</WORD>
<WORD coords="727,2747,1061,2686,2743">Cincuenta</WORD>
<WORD coords="1110,2768,1153,2707,2758">y</WORD>
<WORD coords="1199,2747,1411,2699,2746">cuatro</WORD>
<WORD coords="1469,2748,1578,2690,2747">mil</WORD>
<WORD coords="1609,2751,1971,2696,2749">trescientos</WORD>
<WORD coords="2032,2755,2378,2696,2753">veintisiete</WORD>
<WORD coords="2432,2758,2616,2697,2756">bilic*</WORD>
</LINE>
<LINE>
<WORD coords="240,2849,346,2788,2848">hes</WORD>
<WORD coords="380,2863,399,2837,2859">,</WORD>
<WORD coords="438,2853,793,2796,2849">trescientas</WORD>
<WORD coords="837,2854,1160,2797,2852">cincuenta</WORD>
<WORD coords="1211,2853,1320,2796,2853">mil</WORD>
<WORD coords="1359,2856,1656,2809,2854">cuarenta</WORD>
<WORD coords="1700,2874,1740,2817,2865">y</WORD>
<WORD coords="1795,2857,1918,2808,2856">seis</WORD>
<WORD coords="1970,2879,2278,2803,2859">millones,</WORD>
<WORD coords="2317,2866,2608,2810,2863">setecien-</WORD>
</LINE>
<LINE>
<WORD coords="239,2961,336,2906,2956">tas</WORD>
<WORD coords="393,2958,645,2899,2955">ochenta</WORD>
<WORD coords="692,2980,747,2919,2959">y-</WORD>
<WORD coords="775,2959,897,2919,2959">una</WORD>
<WORD coords="936,2962,1047,2900,2959">mil</WORD>
<WORD coords="1084,2962,1314,2903,2960">treinta</WORD>
<WORD coords="1367,2980,1411,2922,2970">y</WORD>
<WORD coords="1475,2961,1644,2907,2960">cinco</WORD>
<WORD coords="1694,2965,2116,2905,2962">billonesimas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="489,3067,984,3006,3064">Demostración.</WORD>
<WORD coords="1080,3069,1285,3011,3068">Como</WORD>
<WORD coords="1332,3069,1428,3010,3068">los</WORD>
<WORD coords="1485,3068,1820,3010,3066">decimales</WORD>
<WORD coords="1880,3089,2100,3012,3067">siguen</WORD>
<WORD coords="2144,3070,2200,3011,3069">la</WORD>
<WORD coords="2254,3076,2480,3017,3074">misma</WORD>
<WORD coords="2506,3101,2608,3023,3078">ley</WORD>
</LINE>
<LINE>
<WORD coords="245,3187,365,3128,3168">que</WORD>
<WORD coords="422,3169,514,3112,3168">los</WORD>
<WORD coords="564,3172,808,3124,3170">enteros</WORD>
<WORD coords="837,3188,855,3160,3181">,</WORD>
<WORD coords="900,3174,976,3116,3173">de</WORD>
<WORD coords="1037,3174,1135,3134,3173">ser</WORD>
<WORD coords="1196,3175,1276,3123,3173">10</WORD>
<WORD coords="1320,3173,1501,3133,3171">veces</WORD>
<WORD coords="1554,3171,1838,3133,3170">menores</WORD>
<WORD coords="1895,3173,1982,3118,3172">las</WORD>
<WORD coords="2056,3178,2360,3117,3174">unidades</WORD>
<WORD coords="2411,3204,2612,3145,3181">segur*</WORD>
</LINE>
<LINE>
<WORD coords="252,3281,531,3219,3275">abanzan</WORD>
<WORD coords="582,3277,663,3239,3277">un</WORD>
<WORD coords="709,3299,886,3240,3277">rugar</WORD>
<WORD coords="940,3280,1069,3220,3277">ácia</WORD>
<WORD coords="1116,3282,1380,3220,3279">derecha</WORD>
<WORD coords="1415,3294,1437,3265,3289">,</WORD>
<WORD coords="1484,3284,1705,3219,3279">hemos</WORD>
<WORD coords="1745,3279,1911,3221,3278">dado</WORD>
<WORD coords="1964,3283,2023,3222,3281">el</WORD>
<WORD coords="2073,3282,2299,3225,3281">mismo</WORD>
<WORD coords="2352,3290,2609,3229,3287">método</WORD>
</LINE>
<LINE>
<WORD coords="252,3400,371,3341,3380">que</WORD>
<WORD coords="420,3382,625,3325,3381">dimos</WORD>
<WORD coords="686,3401,831,3344,3384">para</WORD>
<WORD coords="881,3385,1009,3329,3384">leer</WORD>
<WORD coords="1054,3402,1355,3328,3386">aquellos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="341,3490,475,3436,3489">137.</WORD>
<WORD coords="564,3490,896,3431,3489">Teorema.</WORD>
<WORD coords="943,3492,1041,3435,3491">Un</WORD>
<WORD coords="1086,3516,1385,3435,3493">quebrado</WORD>
<WORD coords="1416,3494,1674,3437,3492">decimal</WORD>
<WORD coords="1710,3494,1786,3451,3493">no</WORD>
<WORD coords="1830,3492,1896,3455,3492">se</WORD>
<WORD coords="1938,3494,2134,3438,3492">altera</WORD>
<WORD coords="2166,3511,2183,3482,3511">,</WORD>
<WORD coords="2224,3519,2306,3460,3500">ya</WORD>
<WORD coords="2335,3500,2401,3461,3500">se</WORD>
<WORD coords="2447,3501,2599,3440,3501">aña-</WORD>
</LINE>
<LINE>
<WORD coords="249,3601,372,3542,3599">dan</WORD>
<WORD coords="420,3605,453,3565,3605">o</WORD>
<WORD coords="496,3622,705,3542,3596">quiten</WORD>
<WORD coords="760,3598,797,3561,3598">a</WORD>
<WORD coords="841,3599,912,3561,3598">su</WORD>
<WORD coords="957,3601,1212,3543,3599">derecha</WORD>
<WORD coords="1269,3602,1353,3546,3600">los</WORD>
<WORD coords="1407,3601,1576,3562,3599">ceros</WORD>
<WORD coords="1633,3624,1743,3562,3600">que</WORD>
<WORD coords="1802,3601,1868,3563,3601">se</WORD>
<WORD coords="1908,3622,2185,3545,3600">quieran.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="495,3728,907,3651,3707">Esplicacion.</WORD>
<WORD coords="997,3710,1110,3652,3708">Sea</WORD>
<WORD coords="1170,3710,1225,3654,3709">el</WORD>
<WORD coords="1287,3726,1602,3650,3707">quebrado</WORD>
<WORD coords="1641,3709,1904,3651,3707">decimal</WORD>
<WORD coords="1944,3706,1954,3672,3707">:</WORD>
<WORD coords="1985,3706,2030,3658,3706">O</WORD>
<WORD coords="2057,3724,2072,3698,3724">y</WORD>
<WORD coords="2121,3725,2230,3655,3716">70;</WORD>
<WORD coords="2279,3729,2399,3672,3707">voy</WORD>
<WORD coords="2434,3710,2461,3654,3709">á</WORD>
<WORD coords="2492,3709,2596,3654,3708">de-</WORD>
</LINE>
<LINE>
<WORD coords="243,3816,516,3770,3813">mostrar</WORD>
<WORD coords="548,3831,565,3802,3831">,</WORD>
<WORD coords="592,3833,711,3778,3815">que</WORD>
<WORD coords="746,3814,797,3758,3814">si</WORD>
<WORD coords="857,3815,913,3758,3815">le</WORD>
<WORD coords="965,3816,1164,3759,3815">añado</WORD>
<WORD coords="1212,3815,1295,3779,3815">un</WORD>
<WORD coords="1351,3813,1494,3776,3812">cero</WORD>
<WORD coords="1548,3815,1630,3759,3814">tal</WORD>
<WORD coords="1677,3816,1856,3777,3814">como</WORD>
<WORD coords="1902,3830,1990,3763,3824">0,</WORD>
<WORD coords="2039,3830,2195,3764,3819">700;</WORD>
<WORD coords="2214,3815,2250,3765,3815">6</WORD>
<WORD coords="2311,3815,2363,3760,3814">le</WORD>
<WORD coords="2420,3831,2597,3760,3813">quito</WORD>
</LINE>
<LINE>
<WORD coords="244,3925,305,3864,3923">el</WORD>
<WORD coords="372,3922,515,3883,3921">cero</WORD>
<WORD coords="572,3942,692,3884,3921">que</WORD>
<WORD coords="746,3935,960,3865,3920">tiene,</WORD>
<WORD coords="1006,3922,1089,3866,3921">tal</WORD>
<WORD coords="1152,3921,1329,3883,3920">como</WORD>
<WORD coords="1377,3935,1466,3869,3930">0,</WORD>
<WORD coords="1523,3936,1596,3867,3925">7,</WORD>
<WORD coords="1657,3921,1729,3883,3919">su</WORD>
<WORD coords="1786,3920,1957,3865,3918">valor</WORD>
<WORD coords="2008,3921,2144,3884,3920">sera</WORD>
<WORD coords="2214,3918,2277,3862,3918">el</WORD>
<WORD coords="2347,3917,2593,3862,3915">mismo.</WORD>
</LINE>
<LINE>
<WORD coords="416,4039,694,3973,4030">JQemostt</WORD>
<WORD coords="714,4035,906,3972,4030">aciun,</WORD>
<WORD coords="941,4033,1021,3972,4032">£1</WORD>
<WORD coords="1052,4033,1322,3972,4031">decimal</WORD>
<WORD coords="1439,4048,1465,4013,4048">%</WORD>
<WORD coords="1487,4033,1565,3976,4032">70</WORD>
<WORD coords="1602,4033,1666,3992,4031">es</WORD>
<WORD coords="1699,4032,1761,3972,4031">lo</WORD>
<WORD coords="1805,4031,2027,3969,4029">mismo</WORD>
<WORD coords="2059,4050,2177,3991,4029">que</WORD>
<WORD coords="2215,4027,2290,3976,4028">70</WORD>
<WORD coords="2315,4033,2329,3987,4029">;</WORD>
<WORD coords="2376,4024,2423,3970,4022">si</WORD>
<WORD coords="2455,4031,2594,3987,4029">¿r***</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0093.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0094.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0094.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1788,504,1930,408,504">84</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="664,624,868,562,622">dimos</WORD>
<WORD coords="910,626,991,585,624">un</WORD>
<WORD coords="1027,624,1168,582,621">cero</WORD>
<WORD coords="1198,624,1228,566,625">á</WORD>
<WORD coords="1276,622,1431,565,621">cada</WORD>
<WORD coords="1476,623,1743,567,620">termino</WORD>
<WORD coords="1777,635,1793,612,631">,</WORD>
<WORD coords="1819,625,2035,569,622">ambos</WORD>
<WORD coords="2066,626,2131,588,625">se</WORD>
<WORD coords="2176,629,2411,567,627">habrán</WORD>
<WORD coords="2456,646,2888,576,635">muHpüeaéo</WORD>
<WORD coords="2923,661,3047,594,644">p©#</WORD>
<WORD coords="3070,621,3079,596,621">!</WORD>
</LINE>
<LINE>
<WORD coords="666,740,743,690,739">10</WORD>
<WORD coords="771,757,810,700,747">y</WORD>
<WORD coords="843,733,899,677,732">el</WORD>
<WORD coords="928,750,1244,671,730">quebrado</WORD>
<WORD coords="1274,733,1405,691,729">sera</WORD>
<WORD coords="1443,730,1562,676,730">700</WORD>
<WORD coords="1607,752,1774,673,731">igual</WORD>
<WORD coords="1826,755,2011,678,740">(109)</WORD>
<WORD coords="2071,733,2128,675,732">al</WORD>
<WORD coords="2184,755,2504,680,736">primitivo</WORD>
<WORD coords="2540,744,2556,707,744">:</WORD>
<WORD coords="2610,762,2655,702,753">y</WORD>
<WORD coords="2717,744,2769,687,743">si</WORD>
<WORD coords="2828,767,3035,693,749">quita*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1419,835,1578,759,833">iooo</WORD>
<WORD coords="2604,804,2611,792,804">*</WORD>
</LINE>
<LINE>
<WORD coords="662,935,798,895,932">iwos</WORD>
<WORD coords="856,929,938,890,928">un</WORD>
<WORD coords="989,925,1131,886,923">cero</WORD>
<WORD coords="1162,923,1242,866,923">de</WORD>
<WORD coords="1298,920,1450,864,918">cada</WORD>
<WORD coords="1496,921,1766,863,919">término</WORD>
<WORD coords="1795,936,1813,908,931">,</WORD>
<WORD coords="1846,924,2059,869,922">ambos</WORD>
<WORD coords="2096,944,2408,867,925">quedaran</WORD>
<WORD coords="2428,931,2433,907,931">,</WORD>
<WORD coords="2455,947,2734,872,930">partidos</WORD>
<WORD coords="2790,954,2900,897,934">por</WORD>
<WORD coords="2936,953,3036,887,944">10^</WORD>
</LINE>
<LINE>
<WORD coords="662,1065,701,1004,1052">y</WORD>
<WORD coords="763,1039,820,983,1038">el</WORD>
<WORD coords="868,1055,1184,974,1032">quebrado</WORD>
<WORD coords="1234,1030,1270,977,1032">7</WORD>
<WORD coords="1328,1029,1463,990,1028">sera</WORD>
<WORD coords="1496,1029,1771,972,1028">también</WORD>
<WORD coords="1811,1031,1869,974,1031">el</WORD>
<WORD coords="1916,1033,2144,974,1031">mismo</WORD>
<WORD coords="2195,1050,2314,995,1035">que</WORD>
<WORD coords="2364,1035,2419,977,1035">el</WORD>
<WORD coords="2470,1055,2814,981,1037">primitivo.</WORD>
<WORD coords="2908,1046,3026,987,1044">Pe-</WORD>
</LINE>
<LINE>
<WORD coords="1210,1134,1287,1085,1134">10</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="656,1232,728,1189,1231">ro</WORD>
<WORD coords="769,1228,826,1169,1227">el</WORD>
<WORD coords="883,1246,1202,1164,1222">quebrado</WORD>
<WORD coords="1267,1218,1387,1166,1217">700</WORD>
<WORD coords="1422,1217,1487,1182,1217">es</WORD>
<WORD coords="1534,1241,1703,1161,1218">igual</WORD>
<WORD coords="1762,1221,1794,1164,1222">á</WORD>
<WORD coords="1837,1237,1922,1169,1226">0,</WORD>
<WORD coords="1980,1221,2102,1166,1221">700</WORD>
<WORD coords="2150,1241,2191,1180,1232">y</WORD>
<WORD coords="2239,1221,2296,1164,1221">el</WORD>
<WORD coords="2349,1224,2383,1170,1224">7</WORD>
<WORD coords="2444,1225,2510,1186,1225">es</WORD>
<WORD coords="2563,1249,2731,1167,1226">igual</WORD>
<WORD coords="2763,1229,2792,1172,1229">á</WORD>
<WORD coords="2846,1247,2928,1179,1229">O,</WORD>
<WORD coords="2961,1253,3025,1177,1243">7j</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1247,1330,1408,1277,1327">1000</WORD>
<WORD coords="2325,1328,2401,1278,1327">10</WORD>
</LINE>
<LINE>
<WORD coords="655,1440,842,1365,1420">luego</WORD>
<WORD coords="885,1432,976,1367,1416">O,</WORD>
<WORD coords="1034,1412,1115,1358,1411">70</WORD>
<WORD coords="1170,1409,1233,1374,1408">es</WORD>
<WORD coords="1267,1410,1324,1356,1409">lo</WORD>
<WORD coords="1376,1408,1602,1351,1407">mismo</WORD>
<WORD coords="1637,1427,1753,1370,1409">que</WORD>
<WORD coords="1867,1424,1883,1396,1413">,</WORD>
<WORD coords="1912,1410,2032,1355,1409">700</WORD>
<WORD coords="2076,1428,2114,1372,1428">y</WORD>
<WORD coords="2164,1430,2282,1373,1410">que</WORD>
<WORD coords="2312,1429,2491,1362,1416">0,7.</WORD>
<WORD coords="2542,1413,2613,1354,1413">L.</WORD>
<WORD coords="2672,1432,2757,1358,1423">Q.</WORD>
<WORD coords="2809,1419,2887,1361,1419">D.</WORD>
<WORD coords="2932,1424,3016,1361,1418">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="808,1524,945,1473,1521">138.</WORD>
<WORD coords="1037,1518,1302,1460,1516">Escolio.</WORD>
<WORD coords="1394,1514,1596,1457,1513">Como</WORD>
<WORD coords="1655,1515,1733,1477,1513">un</WORD>
<WORD coords="1784,1515,2045,1477,1514">numero</WORD>
<WORD coords="2093,1517,2308,1471,1515">entero</WORD>
<WORD coords="2356,1517,2430,1480,1516">no</WORD>
<WORD coords="2478,1521,2642,1462,1518">tiene</WORD>
<WORD coords="2700,1539,3022,1466,1524">quebrado</WORD>
</LINE>
<LINE>
<WORD coords="649,1653,874,1578,1631">algmo</WORD>
<WORD coords="911,1643,928,1616,1635">,</WORD>
<WORD coords="966,1628,1003,1572,1626">ó</WORD>
<WORD coords="1060,1625,1188,1570,1623">está</WORD>
<WORD coords="1233,1640,1656,1562,1619">acompañado</WORD>
<WORD coords="1701,1620,1779,1563,1619">de</WORD>
<WORD coords="1840,1621,1982,1583,1620">cero</WORD>
<WORD coords="2037,1641,2354,1564,1622">quebrado</WORD>
<WORD coords="2382,1637,2398,1591,1631">;</WORD>
<WORD coords="2426,1625,2491,1587,1624">se</WORD>
<WORD coords="2540,1647,2717,1569,1624">sigue</WORD>
<WORD coords="2752,1642,2771,1614,1642">,</WORD>
<WORD coords="2819,1647,2936,1594,1630">que</WORD>
<WORD coords="2982,1634,3027,1594,1634">a</WORD>
</LINE>
<LINE>
<WORD coords="652,1742,736,1702,1741">un</WORD>
<WORD coords="769,1739,1013,1697,1736">numero</WORD>
<WORD coords="1041,1733,1252,1683,1730">entero</WORD>
<WORD coords="1300,1729,1366,1691,1728">se</WORD>
<WORD coords="1404,1726,1457,1669,1725">le</WORD>
<WORD coords="1492,1748,1687,1671,1726">puede</WORD>
<WORD coords="1725,1749,1925,1682,1727">poner</WORD>
<WORD coords="1969,1728,2004,1691,1728">a</WORD>
<WORD coords="2039,1729,2097,1672,1728">la</WORD>
<WORD coords="2148,1732,2405,1673,1729">derecha</WORD>
<WORD coords="2457,1732,2529,1673,1731">de</WORD>
<WORD coords="2551,1732,2675,1675,1731">-las</WORD>
<WORD coords="2721,1740,3022,1679,1736">unidades</WORD>
</LINE>
<LINE>
<WORD coords="651,1850,713,1793,1849">ia</WORD>
<WORD coords="790,1846,955,1807,1845">coma</WORD>
<WORD coords="1014,1842,1269,1783,1840">decimal</WORD>
<WORD coords="1292,1854,1339,1774,1854">?</WORD>
<WORD coords="1361,1859,1403,1801,1858">y</WORD>
<WORD coords="1459,1858,1708,1782,1835">después</WORD>
<WORD coords="1753,1837,1830,1780,1837">de</WORD>
<WORD coords="1880,1839,1995,1780,1835">ella</WORD>
<WORD coords="2048,1838,2135,1779,1836">los</WORD>
<WORD coords="2192,1839,2363,1800,1837">ceros</WORD>
<WORD coords="2416,1864,2530,1800,1839">que</WORD>
<WORD coords="2594,1841,2662,1798,1839">se</WORD>
<WORD coords="2708,1865,2968,1785,1843">quieran</WORD>
<WORD coords="2996,1858,3021,1801,1858">i</WORD>
</LINE>
<LINE>
<WORD coords="649,1957,739,1898,1955">asi</WORD>
<WORD coords="818,1953,899,1901,1952">24</WORD>
<WORD coords="951,1950,1015,1913,1949">es</WORD>
<WORD coords="1064,1968,1233,1891,1946">igual</WORD>
<WORD coords="1286,1945,1317,1891,1945">á</WORD>
<WORD coords="1374,1947,1455,1892,1946">24</WORD>
<WORD coords="1485,1962,1505,1930,1962">,</WORD>
<WORD coords="1559,1963,1598,1906,1954">y</WORD>
<WORD coords="1658,1942,1787,1897,1941">este</WORD>
<WORD coords="1843,1965,2011,1886,1942">igual</WORD>
<WORD coords="2066,1945,2095,1888,1945">á</WORD>
<WORD coords="2143,1955,2351,1893,1945">24,00,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="814,2061,881,2004,2060">Si</WORD>
<WORD coords="938,2057,1012,2022,2056">en</WORD>
<WORD coords="1046,2058,1174,2012,2056">este</WORD>
<WORD coords="1221,2055,1483,2016,2053">numero</WORD>
<WORD coords="1542,2053,1918,1996,2051">abanzamos</WORD>
<WORD coords="1972,2052,2024,1995,2051">la</WORD>
<WORD coords="2084,2051,2260,2013,2050">coma</WORD>
<WORD coords="2317,2051,2400,2013,2050">un</WORD>
<WORD coords="2456,2074,2636,1995,2051">lugar</WORD>
<WORD coords="2677,2056,2805,1999,2054">acia</WORD>
<WORD coords="2839,2061,3016,2001,2057">dere*</WORD>
<WORD coords="3028,2081,3056,2062,2081">v</WORD>
</LINE>
<LINE>
<WORD coords="648,2176,765,2116,2174">cha</WORD>
<WORD coords="831,2172,911,2115,2172">dé</WORD>
<WORD coords="956,2172,1088,2124,2169">este</WORD>
<WORD coords="1138,2167,1326,2110,2166">modo</WORD>
<WORD coords="1384,2165,1507,2113,2164">240</WORD>
<WORD coords="1542,2182,1559,2153,2173">,</WORD>
<WORD coords="1585,2163,1628,2116,2163">O</WORD>
<WORD coords="1656,2181,1672,2153,2181">,</WORD>
<WORD coords="1705,2182,1973,2108,2163">quedará</WORD>
<WORD coords="2016,2163,2215,2101,2161">hecho</WORD>
<WORD coords="2254,2164,2331,2112,2163">10</WORD>
<WORD coords="2373,2163,2556,2123,2162">veces</WORD>
<WORD coords="2578,2183,2814,2125,2162">.mayor</WORD>
<WORD coords="2870,2183,3031,2110,2175">(3Q),</WORD>
<WORD coords="3033,2185,3060,2144,2185">t</WORD>
</LINE>
<LINE>
<WORD coords="647,2280,727,2223,2280">de</WORD>
<WORD coords="776,2278,835,2223,2278">lo</WORD>
<WORD coords="879,2296,997,2239,2278">que</WORD>
<WORD coords="1050,2276,1156,2236,2275">era</WORD>
<WORD coords="1191,2290,1208,2263,2282">,</WORD>
<WORD coords="1232,2274,1270,2217,2274">ó</WORD>
<WORD coords="1328,2274,1393,2234,2273">se</WORD>
<WORD coords="1450,2272,1639,2213,2271">habrá</WORD>
<WORD coords="1698,2290,2127,2213,2269">multiplicado</WORD>
<WORD coords="2187,2290,2296,2231,2268">por</WORD>
<WORD coords="2344,2268,2418,2219,2269">10</WORD>
<WORD coords="2439,2287,2460,2234,2279">;</WORD>
<WORD coords="2493,2268,2543,2212,2270">ú</WORD>
<WORD coords="2604,2272,2685,2212,2269">la.</WORD>
<WORD coords="2705,2288,3055,2212,2270">adelanta?^</WORD>
</LINE>
<LINE>
<WORD coords="645,2388,784,2322,2385">¿os</WORD>
<WORD coords="832,2385,944,2329,2384">dos</WORD>
<WORD coords="997,2403,1243,2328,2381">lugares</WORD>
<WORD coords="1279,2394,1296,2367,2387">,</WORD>
<WORD coords="1343,2380,1408,2343,2379">se</WORD>
<WORD coords="1461,2379,1810,2322,2377">convertirá</WORD>
<WORD coords="1854,2377,1929,2340,2377">en</WORD>
<WORD coords="1992,2376,2157,2324,2375">2400</WORD>
<WORD coords="2186,2392,2202,2365,2392">,</WORD>
<WORD coords="2238,2396,2276,2340,2387">y</WORD>
<WORD coords="2334,2376,2398,2339,2376">se</WORD>
<WORD coords="2461,2382,2652,2319,2375">habrá</WORD>
<WORD coords="2710,2394,3009,2320,2377">multipli-</WORD>
</LINE>
<LINE>
<WORD coords="645,2496,805,2439,2495">cado</WORD>
<WORD coords="844,2512,954,2455,2491">por</WORD>
<WORD coords="1019,2491,1159,2440,2489">100.</WORD>
<WORD coords="1254,2488,1374,2431,2487">Por</WORD>
<WORD coords="1417,2485,1477,2429,2485">el</WORD>
<WORD coords="1520,2486,1830,2428,2483">contrario</WORD>
<WORD coords="1862,2499,1881,2473,2492">,</WORD>
<WORD coords="1938,2483,1988,2426,2483">si</WORD>
<WORD coords="2043,2484,2524,2427,2482">retrocedemos,</WORD>
<WORD coords="2570,2487,2641,2427,2482">la,</WORD>
<WORD coords="2700,2484,2878,2446,2483">coma</WORD>
<WORD coords="2916,2485,3034,2445,2484">-un-</WORD>
</LINE>
<LINE>
<WORD coords="644,2623,826,2550,2603">lugar</WORD>
<WORD coords="854,2601,1003,2543,2599">*ácia</WORD>
<WORD coords="1045,2617,1372,2539,2597">izquierda</WORD>
<WORD coords="1420,2594,1522,2537,2593">del</WORD>
<WORD coords="1580,2609,1884,2547,2593">numeró,</WORD>
<WORD coords="1929,2591,2038,2553,2590">nos</WORD>
<WORD coords="2100,2591,2330,2533,2589">vendrá</WORD>
<WORD coords="2383,2589,2441,2533,2589">el</WORD>
<WORD coords="2493,2590,2528,2541,2591">2</WORD>
<WORD coords="2560,2603,2576,2546,2598">;</WORD>
<WORD coords="2605,2588,2729,2537,2588">400</WORD>
<WORD coords="2768,2555,2781,2542,2555">fc</WORD>
<WORD coords="2783,2607,2900,2552,2589">que</WORD>
<WORD coords="2945,2590,3011,2552,2589">es</WORD>
</LINE>
<LINE>
<WORD coords="648,2733,760,2658,2719">(73</WORD>
<WORD coords="813,2725,837,2658,2716">)</WORD>
<WORD coords="888,2707,962,2658,2706">10</WORD>
<WORD coords="1017,2706,1196,2664,2704">veces</WORD>
<WORD coords="1243,2703,1460,2663,2701">menor</WORD>
<WORD coords="1519,2709,1639,2662,2700">que</WORD>
<WORD coords="1705,2700,1759,2642,2699">el</WORD>
<WORD coords="1818,2718,2140,2641,2697">primitivo</WORD>
<WORD coords="2188,2697,2224,2641,2698">ó</WORD>
<WORD coords="2272,2697,2404,2650,2696">este</WORD>
<WORD coords="2462,2695,2537,2657,2695">se</WORD>
<WORD coords="2601,2695,2790,2638,2693">habrá</WORD>
<WORD coords="2847,2693,2907,2637,2692">di</WORD>
<WORD coords="2919,2705,3034,2637,2693">vi-*</WORD>
</LINE>
<LINE>
<WORD coords="646,2817,802,2759,2815">dídó</WORD>
<WORD coords="863,2834,974,2776,2811">por</WORD>
<WORD coords="1020,2813,1097,2762,2812">10</WORD>
<WORD coords="1130,2813,1145,2775,2810">;</WORD>
<WORD coords="1185,2808,1726,2749,2805">retrocediendola</WORD>
<WORD coords="1781,2805,1893,2748,2804">dos</WORD>
<WORD coords="1945,2825,2244,2749,2803">lugares,</WORD>
<WORD coords="2289,2802,2641,2745,2801">tendremos</WORD>
<WORD coords="2673,2821,2922,2747,2804">,0^400</WORD>
<WORD coords="2949,2809,3044,2743,2799">(o,</WORD>
</LINE>
<LINE>
<WORD coords="655,2922,884,2866,2919">mismo</WORD>
<WORD coords="938,2937,1059,2881,2917">que</WORD>
<WORD coords="1112,2928,1203,2866,2916">O,</WORD>
<WORD coords="1257,2914,1337,2863,2914">24</WORD>
<WORD coords="1394,2932,1514,2876,2914">que</WORD>
<WORD coords="1575,2913,1639,2876,2912">es</WORD>
<WORD coords="1714,2912,1832,2862,2911">100</WORD>
<WORD coords="1882,2913,2063,2874,2911">veces</WORD>
<WORD coords="2120,2910,2334,2872,2909">menor</WORD>
<WORD coords="2402,2928,2520,2871,2907">que</WORD>
<WORD coords="2577,2911,2634,2850,2908">el</WORD>
<WORD coords="2687,2924,3045,2849,2906">primitivo/*</WORD>
</LINE>
<LINE>
<WORD coords="644,3031,726,2979,3029">24</WORD>
<WORD coords="818,3028,1020,2972,3026">Como</WORD>
<WORD coords="1077,3025,1246,2979,3024">tbl&apos;ds</WORD>
<WORD coords="1324,3024,1672,2966,3021">mudanzas</WORD>
<WORD coords="1722,3022,1799,2965,3021">de</WORD>
<WORD coords="1883,3019,2126,2963,3017">valores</WORD>
<WORD coords="2184,3017,2284,2959,3015">del</WORD>
<WORD coords="2345,3017,2606,2973,3014">numero</WORD>
<WORD coords="2647,3012,2724,2977,3012">no</WORD>
<WORD coords="2772,3032,3005,2958,3013">depen-</WORD>
</LINE>
<LINE>
<WORD coords="642,3141,769,3082,3137">den</WORD>
<WORD coords="817,3135,894,3078,3134">de</WORD>
<WORD coords="971,3133,1027,3077,3132">la</WORD>
<WORD coords="1080,3132,1438,3073,3130">naturaleza</WORD>
<WORD coords="1513,3129,1590,3071,3128">de</WORD>
<WORD coords="1652,3129,1742,3073,3129">los</WORD>
<WORD coords="1802,3150,2160,3070,3125">guarismos-</WORD>
<WORD coords="2186,3139,2202,3112,3139">,</WORD>
<WORD coords="2248,3142,2367,3087,3123">que</WORD>
<WORD coords="2428,3124,2596,3077,3122">están</WORD>
<WORD coords="2653,3122,2686,3067,3124">á</WORD>
<WORD coords="2741,3123,3014,3063,3120">derecha</WORD>
</LINE>
<LINE>
<WORD coords="636,3244,723,3183,3242">de</WORD>
<WORD coords="784,3241,842,3185,3240">la</WORD>
<WORD coords="891,3240,1068,3201,3239">coma</WORD>
<WORD coords="1107,3253,1124,3226,3245">,</WORD>
<WORD coords="1167,3237,1301,3181,3235">sirio</WORD>
<WORD coords="1351,3236,1452,3193,3235">tan</WORD>
<WORD coords="1499,3236,1632,3178,3234">solo</WORD>
<WORD coords="1679,3235,1757,3178,3235">de</WORD>
<WORD coords="1821,3235,1876,3179,3234">la</WORD>
<WORD coords="1940,3233,2251,3175,3231">variación</WORD>
<WORD coords="2311,3230,2387,3175,3230">de</WORD>
<WORD coords="2434,3231,2538,3194,3230">sus</WORD>
<WORD coords="2606,3248,2850,3173,3226">lugares</WORD>
<WORD coords="2892,3232,3018,3189,3229">cor*</WORD>
</LINE>
<LINE>
<WORD coords="638,3367,882,3291,3346">arreglo</WORD>
<WORD coords="959,3346,989,3294,3345">á</WORD>
<WORD coords="1043,3345,1300,3299,3342">nuestro</WORD>
<WORD coords="1359,3342,1615,3286,3340">sistema</WORD>
<WORD coords="1669,3359,1939,3284,3339">décuplo</WORD>
<WORD coords="1972,3355,1990,3327,3347">,</WORD>
<WORD coords="2050,3337,2114,3302,3336">se</WORD>
<WORD coords="2188,3358,2366,3281,3336">sigue</WORD>
<WORD coords="2426,3336,2499,3300,3335">en</WORD>
<WORD coords="2561,3356,2807,3280,3334">general</WORD>
<WORD coords="2846,3352,3014,3299,3339">.que;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="900,3453,998,3397,3452">Un</WORD>
<WORD coords="1054,3468,1354,3392,3448">quebrado</WORD>
<WORD coords="1422,3448,1689,3391,3447">decimal</WORD>
<WORD coords="1727,3469,1884,3402,3446">puro</WORD>
<WORD coords="1947,3447,1977,3409,3447">o</WORD>
<WORD coords="2039,3445,2213,3390,3443">misto</WORD>
<WORD coords="2297,3443,2367,3389,3443">de</WORD>
<WORD coords="2423,3442,2685,3388,3440">enteres&apos;</WORD>
<WORD coords="2739,3463,3011,3386,3440">quedara</WORD>
</LINE>
<LINE>
<WORD coords="641,3579,1052,3501,3556">multiplicado</WORD>
<WORD coords="1077,3578,1195,3513,3555">por</WORD>
<WORD coords="1247,3557,1321,3509,3556">10</WORD>
<WORD coords="1350,3573,1364,3546,3564">,</WORD>
<WORD coords="1406,3555,1523,3506,3554">100</WORD>
<WORD coords="1575,3570,1712,3497,3555">&amp;?c,</WORD>
<WORD coords="1740,3556,1848,3516,3554">con</WORD>
<WORD coords="1888,3553,2012,3496,3552">s&apos;olo</WORD>
<WORD coords="2066,3553,2344,3513,3550">avanzar</WORD>
<WORD coords="2400,3549,2458,3493,3548">la</WORD>
<WORD coords="2500,3548,2666,3509,3546">coma</WORD>
<WORD coords="2705,3546,2820,3507,3545">uno</WORD>
<WORD coords="2854,3560,2870,3535,3556">,</WORD>
<WORD coords="2899,3549,3006,3491,3547">dos</WORD>
</LINE>
<LINE>
<WORD coords="643,3666,750,3608,3663">&amp;c</WORD>
<WORD coords="793,3684,1037,3609,3662">lugares</WORD>
<WORD coords="1097,3663,1233,3610,3662">acia</WORD>
<WORD coords="1283,3669,1594,3608,3662">derecha;</WORD>
<WORD coords="1644,3682,1684,3625,3682">y</WORD>
<WORD coords="1739,3686,2005,3606,3659">quedara</WORD>
<WORD coords="2049,3679,2298,3600,3657">partido</WORD>
<WORD coords="2344,3678,2464,3610,3655">por</WORD>
<WORD coords="2516,3657,2591,3605,3656">IQ</WORD>
<WORD coords="2618,3662,2634,3638,3660">,</WORD>
<WORD coords="2694,3652,2817,3601,3653">100</WORD>
<WORD coords="2888,3661,3007,3595,3649">&amp;c,</WORD>
</LINE>
<LINE>
<WORD coords="637,3775,750,3736,3773">can</WORD>
<WORD coords="808,3770,1148,3714,3769">retroceder</WORD>
<WORD coords="1194,3769,1249,3717,3769">la</WORD>
<WORD coords="1292,3769,1457,3731,3768">coma</WORD>
<WORD coords="1508,3770,1625,3731,3769">uno</WORD>
<WORD coords="1653,3786,1672,3757,3777">,</WORD>
<WORD coords="1699,3769,1802,3712,3768">dos</WORD>
<WORD coords="1839,3786,1855,3755,3777">,</WORD>
<WORD coords="1900,3768,2014,3707,3762">■&amp;?&lt;?</WORD>
<WORD coords="2058,3784,2303,3712,3762">lugares</WORD>
<WORD coords="2360,3762,2496,3707,3761">acia</WORD>
<WORD coords="2541,3784,2883,3706,3760">izquierda.</WORD>
<WORD coords="2923,3763,3011,3704,3763">V%</WORD>
</LINE>
<LINE>
<WORD coords="639,3903,699,3845,3889">g,</WORD>
<WORD coords="752,3878,802,3822,3878">si</WORD>
<WORD coords="863,3876,892,3825,3876">á</WORD>
<WORD coords="945,3890,1032,3825,3880">3,</WORD>
<WORD coords="1087,3876,1120,3824,3875">7</WORD>
<WORD coords="1177,3875,1353,3838,3874">varas</WORD>
<WORD coords="1410,3894,1632,3819,3873">quiero</WORD>
<WORD coords="1681,3891,2057,3816,3872">multiplicar</WORD>
<WORD coords="2108,3889,2216,3833,3869">por</WORD>
<WORD coords="2271,3869,2348,3819,3869">10</WORD>
<WORD coords="2378,3883,2396,3856,3877">,</WORD>
<WORD coords="2452,3868,2592,3829,3865">sera,</WORD>
<WORD coords="2629,3865,2683,3811,3864">el</WORD>
<WORD coords="2741,3876,3004,3811,3864">produc-</WORD>
</LINE>
<LINE>
<WORD coords="641,3996,706,3943,3992">to</WORD>
<WORD coords="770,3997,897,3932,3990">37,</WORD>
<WORD coords="953,3992,1183,3944,3979">varas;</WORD>
<WORD coords="1230,3997,1265,3944,3988">y</WORD>
<WORD coords="1332,3980,1381,3928,3980">si</WORD>
<WORD coords="1442,3982,1660,3924,3978">divido</WORD>
<WORD coords="1717,4000,1824,3942,3980">por</WORD>
<WORD coords="1879,3979,1953,3928,3978">10</WORD>
<WORD coords="1979,3996,1997,3965,3987">,</WORD>
<WORD coords="2021,3978,2157,3937,3977">sera</WORD>
<WORD coords="2207,3976,2266,3920,3975">el</WORD>
<WORD coords="2325,3987,2603,3918,3977">cociente</WORD>
<WORD coords="2662,3990,2853,3918,3978">0,3.7</WORD>
<WORD coords="2900,3974,3003,3932,3974">va-</WORD>
</LINE>
<LINE>
<WORD coords="640,4094,739,4052,4093">ras</WORD>
<WORD coords="769,4110,788,4079,4101">,</WORD>
<WORD coords="828,4092,868,4035,4092">ó</WORD>
<WORD coords="926,4093,1003,4037,4091">37</WORD>
<WORD coords="1054,4090,1406,4032,4088">centesimos</WORD>
<WORD coords="1459,4091,1535,4032,4090">de</WORD>
<WORD coords="1584,4092,1753,4049,4091">vara»</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0094.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0095.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0095.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1348,502,1484,412,501">85</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="321,626,457,567,622">139.</WORD>
<WORD coords="556,620,902,562,619">Problema.</WORD>
<WORD coords="990,618,1262,560,617">Reducir</WORD>
<WORD coords="1324,621,1407,582,621">un</WORD>
<WORD coords="1460,642,1761,562,618">quebrado</WORD>
<WORD coords="1823,619,2031,579,618">común</WORD>
<WORD coords="2085,620,2122,581,620">a</WORD>
<WORD coords="2178,626,2452,559,617">decimal.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="474,729,858,672,727">Resolución»</WORD>
<WORD coords="920,730,1032,669,722">1.°</WORD>
<WORD coords="1145,726,1485,670,724">Añádanse</WORD>
<WORD coords="1556,726,1609,670,725">al</WORD>
<WORD coords="1669,727,2042,668,725">numerador</WORD>
<WORD coords="2101,726,2195,669,725">los</WORD>
<WORD coords="2243,728,2418,689,726">ceros</WORD>
<WORD coords="2481,746,2603,687,729">que</WORD>
</LINE>
<LINE>
<WORD coords="236,840,386,797,838">sean</WORD>
<WORD coords="431,836,782,776,834">suficientes</WORD>
<WORD coords="815,850,832,821,850">,</WORD>
<WORD coords="906,851,1046,792,831">para</WORD>
<WORD coords="1100,850,1295,774,829">poder</WORD>
<WORD coords="1353,853,1626,775,830">ejecutar</WORD>
<WORD coords="1680,832,1733,778,831">la</WORD>
<WORD coords="1786,831,2057,774,830">división</WORD>
<WORD coords="2117,850,2228,795,832">por</WORD>
<WORD coords="2293,834,2348,778,834">el</WORD>
<WORD coords="2410,833,2602,779,832">deno-</WORD>
</LINE>
<LINE>
<WORD coords="221,944,510,882,940">minador</WORD>
<WORD coords="550,954,569,924,954">j</WORD>
<WORD coords="601,960,642,902,958">y</WORD>
<WORD coords="711,957,1086,884,937">coloqúense</WORD>
<WORD coords="1135,936,1225,882,936">los</WORD>
<WORD coords="1289,937,1590,880,935">términos</WORD>
<WORD coords="1638,938,1750,900,937">con</WORD>
<WORD coords="1805,938,1893,883,937">las</WORD>
<WORD coords="1960,960,2137,900,937">rayas</WORD>
<WORD coords="2198,942,2274,885,942">de</WORD>
<WORD coords="2341,953,2607,885,940">dividir;</WORD>
</LINE>
<LINE>
<WORD coords="239,1052,299,999,1048">2.</WORD>
<WORD coords="326,1030,363,993,1038">°</WORD>
<WORD coords="422,1046,727,988,1045">Divídase</WORD>
<WORD coords="769,1046,832,989,1045">el</WORD>
<WORD coords="874,1046,1252,985,1044">numerador</WORD>
<WORD coords="1304,1062,1415,1005,1043">por</WORD>
<WORD coords="1459,1043,1513,988,1042">el</WORD>
<WORD coords="1563,1047,2013,989,1045">denominador</WORD>
<WORD coords="2039,1061,2055,1035,1061">,</WORD>
<WORD coords="2098,1066,2137,1009,1058">y</WORD>
<WORD coords="2184,1050,2239,993,1049">el</WORD>
<WORD coords="2290,1058,2601,994,1048">cociente»</WORD>
</LINE>
<LINE>
<WORD coords="232,1171,502,1095,1152">después</WORD>
<WORD coords="551,1151,624,1095,1149">de</WORD>
<WORD coords="672,1153,861,1093,1151">haber</WORD>
<WORD coords="896,1169,1113,1103,1150">puesto</WORD>
<WORD coords="1171,1149,1229,1092,1148">el</WORD>
<WORD coords="1278,1149,1420,1111,1148">cero</WORD>
<WORD coords="1449,1170,1711,1094,1149">seguido</WORD>
<WORD coords="1761,1153,1838,1095,1152">de</WORD>
<WORD coords="1897,1153,1953,1098,1152">la</WORD>
<WORD coords="1987,1157,2159,1114,1154">coma</WORD>
<WORD coords="2192,1170,2209,1141,1163">,</WORD>
<WORD coords="2240,1156,2602,1099,1154">comienze-</WORD>
</LINE>
<LINE>
<WORD coords="234,1259,301,1219,1259">ae</WORD>
<WORD coords="356,1258,386,1205,1258">á</WORD>
<WORD coords="432,1259,693,1199,1257">escribir</WORD>
<WORD coords="742,1258,935,1199,1257">desde</WORD>
<WORD coords="988,1257,1045,1200,1256">el</WORD>
<WORD coords="1097,1276,1273,1199,1254">lugar</WORD>
<WORD coords="1332,1255,1410,1198,1255">de</WORD>
<WORD coords="1455,1255,1543,1200,1255">las</WORD>
<WORD coords="1590,1276,1902,1199,1256">decimas,</WORD>
<WORD coords="1931,1258,1981,1200,1257">si</WORD>
<WORD coords="2038,1258,2171,1201,1257">solo</WORD>
<WORD coords="2247,1260,2309,1223,1259">se</WORD>
<WORD coords="2368,1265,2602,1209,1261">anadió</WORD>
</LINE>
<LINE>
<WORD coords="231,1364,317,1324,1363">un</WORD>
<WORD coords="368,1363,516,1323,1362">cero</WORD>
<WORD coords="575,1364,632,1304,1362">al</WORD>
<WORD coords="678,1364,1056,1305,1361">numerador</WORD>
<WORD coords="1082,1365,1099,1328,1364">:</WORD>
<WORD coords="1143,1363,1339,1304,1361">desde</WORD>
<WORD coords="1380,1361,1440,1304,1360">el</WORD>
<WORD coords="1502,1381,1680,1305,1361">lugar</WORD>
<WORD coords="1726,1363,1804,1307,1363">de</WORD>
<WORD coords="1873,1364,1961,1310,1363">las</WORD>
<WORD coords="2041,1369,2421,1310,1366">centésimas</WORD>
<WORD coords="2476,1386,2599,1330,1369">que</WORD>
</LINE>
<LINE>
<WORD coords="231,1470,300,1431,1469">es</WORD>
<WORD coords="347,1467,401,1412,1466">el</WORD>
<WORD coords="448,1469,503,1419,1468">2.</WORD>
<WORD coords="625,1487,893,1410,1468">despue3</WORD>
<WORD coords="946,1468,1025,1410,1467">de</WORD>
<WORD coords="1078,1467,1131,1412,1466">la</WORD>
<WORD coords="1178,1468,1356,1428,1467">coma</WORD>
<WORD coords="1391,1485,1410,1455,1477">,</WORD>
<WORD coords="1438,1466,1490,1409,1466">si</WORD>
<WORD coords="1540,1467,1604,1431,1466">se</WORD>
<WORD coords="1653,1470,1992,1413,1468">añadieron</WORD>
<WORD coords="2040,1471,2152,1413,1470">dos</WORD>
<WORD coords="2198,1474,2372,1433,1471">ceros</WORD>
<WORD coords="2408,1471,2423,1436,1470">:</WORD>
<WORD coords="2453,1470,2599,1415,1469">des-</WORD>
</LINE>
<LINE>
<WORD coords="231,1575,313,1517,1574">de</WORD>
<WORD coords="366,1573,422,1519,1572">el</WORD>
<WORD coords="464,1574,539,1517,1573">de</WORD>
<WORD coords="599,1573,687,1517,1572">las</WORD>
<WORD coords="739,1574,1086,1516,1572">milésimas</WORD>
<WORD coords="1148,1592,1269,1536,1573">que</WORD>
<WORD coords="1311,1573,1377,1537,1573">es</WORD>
<WORD coords="1429,1573,1484,1518,1572">el</WORD>
<WORD coords="1543,1576,1658,1521,1570">3.°</WORD>
<WORD coords="1734,1596,1997,1518,1575">después</WORD>
<WORD coords="2052,1577,2127,1520,1577">de</WORD>
<WORD coords="2179,1580,2237,1523,1579">la</WORD>
<WORD coords="2293,1577,2469,1535,1577">coma</WORD>
<WORD coords="2503,1589,2519,1562,1585">,</WORD>
<WORD coords="2544,1582,2603,1525,1577">si</WORD>
</LINE>
<LINE>
<WORD coords="230,1681,300,1641,1680">se</WORD>
<WORD coords="344,1680,682,1622,1678">añadieron</WORD>
<WORD coords="730,1680,856,1632,1678">tres</WORD>
<WORD coords="902,1679,1078,1638,1678">ceros</WORD>
<WORD coords="1122,1698,1164,1641,1689">y</WORD>
<WORD coords="1214,1679,1303,1622,1678">asi</WORD>
<WORD coords="1367,1680,1440,1642,1679">en</WORD>
<WORD coords="1511,1681,1796,1624,1679">adelante</WORD>
<WORD coords="1826,1697,1844,1669,1690">,</WORD>
<WORD coords="1888,1684,2200,1625,1681">cuidando</WORD>
<WORD coords="2255,1682,2331,1626,1682">de</WORD>
<WORD coords="2407,1685,2601,1626,1680">llenar</WORD>
</LINE>
<LINE>
<WORD coords="233,1786,352,1747,1785">con</WORD>
<WORD coords="409,1786,586,1746,1784">ceros</WORD>
<WORD coords="637,1785,733,1728,1784">los</WORD>
<WORD coords="773,1806,1020,1729,1785">lugares</WORD>
<WORD coords="1069,1787,1299,1728,1785">vacíos.</WORD>
<WORD coords="1389,1788,1456,1729,1787">Si</WORD>
<WORD coords="1499,1807,1620,1729,1787">hay</WORD>
<WORD coords="1670,1789,1831,1740,1788">resta</WORD>
<WORD coords="1860,1803,1877,1774,1795">,</WORD>
<WORD coords="1921,1788,1987,1751,1788">se</WORD>
<WORD coords="2038,1790,2093,1732,1789">le</WORD>
<WORD coords="2144,1790,2342,1732,1787">añade</WORD>
<WORD coords="2373,1790,2454,1746,1788">un</WORD>
<WORD coords="2504,1785,2606,1747,1785">ce-</WORD>
</LINE>
<LINE>
<WORD coords="234,1893,308,1850,1891">ro</WORD>
<WORD coords="338,1906,356,1878,1899">,</WORD>
<WORD coords="400,1892,467,1854,1891">se</WORD>
<WORD coords="518,1892,734,1832,1891">divide</WORD>
<WORD coords="765,1904,779,1877,1904">,</WORD>
<WORD coords="804,1910,845,1853,1901">y</WORD>
<WORD coords="892,1891,958,1852,1890">se</WORD>
<WORD coords="1006,1910,1166,1853,1890">pone</WORD>
<WORD coords="1220,1892,1277,1837,1891">el</WORD>
<WORD coords="1322,1893,1601,1836,1892">cociente</WORD>
<WORD coords="1660,1893,1691,1840,1893">á</WORD>
<WORD coords="1736,1896,2166,1835,1893">continuación</WORD>
<WORD coords="2230,1894,2433,1837,1892">délos</WORD>
<WORD coords="2490,1891,2596,1853,1890">an-</WORD>
</LINE>
<LINE>
<WORD coords="229,1997,494,1939,1995">teriores</WORD>
<WORD coords="526,2009,538,1964,2003">;</WORD>
<WORD coords="588,1994,639,1940,1994">si</WORD>
<WORD coords="688,2014,958,1938,1994">después</WORD>
<WORD coords="1004,1996,1083,1937,1995">de</WORD>
<WORD coords="1125,1999,1345,1941,1997">añadir</WORD>
<WORD coords="1401,1999,1480,1960,1998">un</WORD>
<WORD coords="1536,1999,1678,1959,1998">cero</WORD>
<WORD coords="1709,1999,1739,1945,1999">á</WORD>
<WORD coords="1790,2000,1846,1944,1999">la</WORD>
<WORD coords="1892,2000,2061,1955,1999">resta</WORD>
<WORD coords="2093,2016,2111,1989,2009">,</WORD>
<WORD coords="2152,2002,2280,1955,2000">esta</WORD>
<WORD coords="2315,1998,2395,1959,1998">no</WORD>
<WORD coords="2456,1999,2600,1960,1998">con*</WORD>
</LINE>
<LINE>
<WORD coords="231,2101,396,2042,2099">tiene</WORD>
<WORD coords="451,2100,511,2042,2100">al</WORD>
<WORD coords="560,2100,802,2041,2099">divisor</WORD>
<WORD coords="832,2116,850,2085,2116">%</WORD>
<WORD coords="892,2101,957,2063,2100">se</WORD>
<WORD coords="1005,2121,1238,2046,2101">pondrá</WORD>
<WORD coords="1287,2106,1430,2066,2103">cero</WORD>
<WORD coords="1484,2103,1558,2066,2102">en</WORD>
<WORD coords="1610,2106,1664,2049,2104">el</WORD>
<WORD coords="1716,2106,1990,2048,2105">cociente</WORD>
<WORD coords="2022,2122,2041,2094,2122">,</WORD>
<WORD coords="2106,2127,2147,2070,2118">y</WORD>
<WORD coords="2190,2109,2257,2072,2108">se</WORD>
<WORD coords="2322,2110,2584,2048,2105">añadirá</WORD>
</LINE>
<LINE>
<WORD coords="232,2207,369,2159,2205">otro</WORD>
<WORD coords="407,2208,589,2166,2206">^cero.</WORD>
<WORD coords="681,2207,804,2146,2205">Asi</WORD>
<WORD coords="846,2205,911,2168,2205">se</WORD>
<WORD coords="974,2210,1332,2150,2206">continuará</WORD>
<WORD coords="1430,2213,1606,2153,2211">hasta</WORD>
<WORD coords="1654,2231,1774,2175,2213">que</WORD>
<WORD coords="1827,2213,1906,2175,2213">no</WORD>
<WORD coords="1959,2234,2117,2155,2212">haya</WORD>
<WORD coords="2182,2216,2345,2169,2215">resta</WORD>
<WORD coords="2374,2229,2392,2200,2220">,</WORD>
<WORD coords="2447,2212,2487,2157,2212">ó</WORD>
<WORD coords="2534,2220,2590,2159,2216">si</WORD>
</LINE>
<LINE>
<WORD coords="229,2326,499,2253,2309">siempre</WORD>
<WORD coords="573,2312,633,2254,2311">la</WORD>
<WORD coords="717,2331,834,2253,2311">hay</WORD>
<WORD coords="868,2328,885,2298,2322">,</WORD>
<WORD coords="933,2314,1109,2254,2312">hasta</WORD>
<WORD coords="1161,2317,1338,2277,2316">sacar</WORD>
<WORD coords="1392,2319,1484,2260,2318">los</WORD>
<WORD coords="1548,2342,1899,2262,2319">guarismos</WORD>
<WORD coords="1960,2323,2301,2264,2322">decimales</WORD>
<WORD coords="2352,2340,2474,2281,2322">que</WORD>
<WORD coords="2530,2324,2601,2280,2322">se</WORD>
</LINE>
<LINE>
<WORD coords="246,2434,527,2357,2413">quieran.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="306,2543,603,2460,2520">Ejemplo.</WORD>
<WORD coords="656,2527,1025,2463,2524">Redúzcase</WORD>
<WORD coords="1057,2528,1089,2469,2528">á</WORD>
<WORD coords="1119,2530,1389,2468,2528">decimal</WORD>
<WORD coords="1416,2533,1473,2473,2531">el</WORD>
<WORD coords="1502,2552,1819,2473,2534">quebrado</WORD>
<WORD coords="1851,2537,1910,2481,2537">i.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1848,2645,1925,2589,2644">16</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="487,2757,824,2675,2734">Ejecutaré</WORD>
<WORD coords="876,2737,935,2678,2736">la</WORD>
<WORD coords="987,2757,1314,2683,2739">operación</WORD>
<WORD coords="1373,2745,1448,2702,2744">en</WORD>
<WORD coords="1500,2746,1632,2698,2745">esta</WORD>
<WORD coords="1679,2753,1909,2686,2748">forma:</WORD>
</LINE>
<LINE>
<WORD coords="229,2838,480,2781,2836">tomaré</WORD>
<WORD coords="571,2839,626,2783,2838">el</WORD>
<WORD coords="689,2843,722,2793,2845">1</WORD>
<WORD coords="781,2861,890,2804,2841">por</WORD>
<WORD coords="941,2848,1281,2787,2845">dividendo</WORD>
<WORD coords="1334,2869,1376,2813,2860">y</WORD>
<WORD coords="1431,2852,1489,2796,2851">el</WORD>
<WORD coords="1550,2854,1625,2800,2853">16</WORD>
<WORD coords="1674,2872,1785,2816,2855">por</WORD>
<WORD coords="1841,2858,1939,2798,2857">di-</WORD>
</LINE>
<LINE>
<WORD coords="237,2942,411,2885,2941">visor</WORD>
<WORD coords="429,2961,460,2930,2961">v</WORD>
<WORD coords="478,2961,515,2906,2957">y</WORD>
<WORD coords="553,2947,732,2906,2945">como</WORD>
<WORD coords="778,2949,843,2910,2947">es</WORD>
<WORD coords="872,2968,1188,2895,2950">quebrado</WORD>
<WORD coords="1224,2974,1440,2899,2954">propio</WORD>
<WORD coords="1469,2974,1487,2944,2974">,</WORD>
<WORD coords="1539,2979,1741,2921,2958">pongo</WORD>
<WORD coords="1793,2963,1928,2904,2961">des-</WORD>
</LINE>
<LINE>
<WORD coords="241,3046,320,2988,3046">de</WORD>
<WORD coords="366,3069,550,2991,3047">luego</WORD>
<WORD coords="598,3050,673,3014,3050">en</WORD>
<WORD coords="718,3054,783,2996,3053">el</WORD>
<WORD coords="828,3057,1105,3000,3056">cociente</WORD>
<WORD coords="1148,3059,1192,3009,3059">O</WORD>
<WORD coords="1221,3074,1236,3048,3074">,</WORD>
<WORD coords="1290,3079,1310,3027,3071">;</WORD>
<WORD coords="1365,3062,1479,3025,3062">veo</WORD>
<WORD coords="1549,3067,1807,3023,3066">cuantos</WORD>
<WORD coords="1882,3068,2060,3029,3067">ceros</WORD>
<WORD coords="2123,3074,2398,3016,3071">necesito</WORD>
<WORD coords="2454,3080,2601,3023,3078">aña.</WORD>
</LINE>
<LINE>
<WORD coords="241,3152,345,3095,3151">dir</WORD>
<WORD coords="391,3153,448,3098,3152">ai</WORD>
<WORD coords="507,3154,536,3104,3161">1</WORD>
<WORD coords="593,3175,738,3117,3156">para</WORD>
<WORD coords="793,3178,911,3122,3160">que</WORD>
<WORD coords="957,3186,1263,3117,3163">contenga</WORD>
<WORD coords="1315,3188,1537,3112,3167">alguna</WORD>
<WORD coords="1588,3172,1711,3132,3171">vez</WORD>
<WORD coords="1764,3172,1821,3116,3171">al</WORD>
<WORD coords="1887,3172,1960,3119,3172">16</WORD>
<WORD coords="1995,3186,2010,3160,3186">,</WORD>
<WORD coords="2048,3193,2087,3137,3185">y</WORD>
<WORD coords="2135,3177,2246,3139,3175">son</WORD>
<WORD coords="2281,3183,2392,3123,3181">dos</WORD>
<WORD coords="2427,3197,2443,3170,3197">,</WORD>
<WORD coords="2475,3202,2598,3144,3188">que</WORD>
</LINE>
<LINE>
<WORD coords="242,3258,322,3201,3256">de</WORD>
<WORD coords="369,3259,535,3199,3257">facto</WORD>
<WORD coords="590,3261,681,3206,3260">los</WORD>
<WORD coords="737,3267,959,3208,3264">añado.</WORD>
<WORD coords="1056,3289,1361,3213,3270">Empiezo</WORD>
<WORD coords="1421,3275,1616,3210,3273">aliora</WORD>
<WORD coords="1678,3277,1733,3220,3276">la</WORD>
<WORD coords="1801,3280,2073,3220,3278">división</WORD>
<WORD coords="2146,3287,2435,3226,3285">diciendo</WORD>
<WORD coords="2466,3289,2482,3252,3289">:</WORD>
<WORD coords="2534,3292,2614,3238,3291">16</WORD>
</LINE>
<LINE>
<WORD coords="240,3359,314,3321,3358">en</WORD>
<WORD coords="383,3361,498,3312,3365">100</WORD>
<WORD coords="559,3368,711,3310,3366">cabe</WORD>
<WORD coords="751,3368,789,3315,3374">6</WORD>
<WORD coords="847,3372,1027,3333,3370">veces</WORD>
<WORD coords="1060,3384,1079,3359,3384">,</WORD>
<WORD coords="1108,3396,1312,3337,3375">pongo</WORD>
<WORD coords="1364,3378,1405,3326,3379">6</WORD>
<WORD coords="1457,3380,1531,3341,3379">en</WORD>
<WORD coords="1575,3379,1632,3326,3379">el</WORD>
<WORD coords="1686,3404,1970,3329,3383">segundo</WORD>
<WORD coords="2017,3407,2192,3332,3386">lugar</WORD>
<WORD coords="2233,3413,2498,3337,3395">después</WORD>
<WORD coords="2530,3399,2611,3341,3398">de</WORD>
</LINE>
<LINE>
<WORD coords="240,3466,303,3407,3464">la</WORD>
<WORD coords="350,3486,564,3428,3467">coma,</WORD>
<WORD coords="614,3493,848,3433,3472">porque</WORD>
<WORD coords="906,3478,1093,3421,3475">añadí</WORD>
<WORD coords="1128,3481,1241,3422,3480">dos</WORD>
<WORD coords="1292,3482,1466,3444,3481">ceros</WORD>
<WORD coords="1524,3484,1577,3430,3483">al</WORD>
<WORD coords="1621,3495,2008,3437,3488">numerador</WORD>
<WORD coords="2056,3494,2082,3443,3494">1</WORD>
<WORD coords="2128,3509,2142,3424,3509">\</WORD>
<WORD coords="2181,3515,2223,3456,3509">y</WORD>
<WORD coords="2274,3499,2309,3443,3499">n</WORD>
<WORD coords="2320,3503,2432,3466,3502">eno</WORD>
<WORD coords="2495,3510,2608,3469,3508">coa</WORD>
</LINE>
<LINE>
<WORD coords="237,3571,385,3529,3569">cer©</WORD>
<WORD coords="425,3573,481,3518,3573">el</WORD>
<WORD coords="537,3601,715,3520,3576">lugar</WORD>
<WORD coords="774,3583,951,3525,3580">vacío</WORD>
<WORD coords="999,3587,1077,3529,3586">de</WORD>
<WORD coords="1136,3589,1224,3531,3588">las</WORD>
<WORD coords="1281,3596,1609,3534,3591">décimas:</WORD>
<WORD coords="1650,3615,2000,3539,3596">multiplico</WORD>
<WORD coords="2060,3600,2113,3548,3600">el</WORD>
<WORD coords="2157,3602,2198,3549,3602">6</WORD>
<WORD coords="2259,3623,2365,3569,3606">por</WORD>
<WORD coords="2422,3612,2477,3556,3610">el</WORD>
<WORD coords="2510,3613,2605,3557,3612">di-</WORD>
</LINE>
<LINE>
<WORD coords="237,3676,410,3634,3674">visor</WORD>
<WORD coords="458,3697,496,3642,3696">y</WORD>
<WORD coords="555,3683,727,3639,3682">resto</WORD>
<WORD coords="755,3701,773,3671,3695">,</WORD>
<WORD coords="820,3686,851,3636,3690">á</WORD>
<WORD coords="908,3689,962,3632,3687">la</WORD>
<WORD coords="1022,3694,1186,3646,3691">resta</WORD>
<WORD coords="1232,3695,1275,3642,3695">4</WORD>
<WORD coords="1333,3695,1534,3640,3694">añado</WORD>
<WORD coords="1593,3698,1675,3659,3698">un</WORD>
<WORD coords="1728,3699,1770,3651,3699">O</WORD>
<WORD coords="1805,3685,1821,3671,3690">•</WORD>
<WORD coords="1887,3704,2001,3667,3703">veo</WORD>
<WORD coords="2073,3725,2191,3670,3709">que</WORD>
<WORD coords="2253,3714,2327,3661,3713">16</WORD>
<WORD coords="2394,3716,2467,3679,3715">en</WORD>
<WORD coords="2526,3718,2605,3667,3718">40</WORD>
</LINE>
<LINE>
<WORD coords="234,3782,384,3723,3779">cabe</WORD>
<WORD coords="437,3785,474,3734,3794">2</WORD>
<WORD coords="526,3788,709,3749,3786">veces</WORD>
<WORD coords="743,3802,760,3776,3802">,</WORD>
<WORD coords="806,3815,1011,3753,3791">pongo</WORD>
<WORD coords="1057,3797,1096,3749,3800">2</WORD>
<WORD coords="1137,3799,1213,3760,3798">en</WORD>
<WORD coords="1255,3798,1311,3743,3797">el</WORD>
<WORD coords="1361,3819,1688,3746,3800">cociente,</WORD>
<WORD coords="1733,3827,2075,3752,3808">multiplico</WORD>
<WORD coords="2144,3831,2254,3778,3814">por</WORD>
<WORD coords="2301,3820,2358,3765,3819">el</WORD>
<WORD coords="2438,3822,2601,3766,3820">divi-</WORD>
</LINE>
<LINE>
<WORD coords="233,3885,339,3846,3884">sor</WORD>
<WORD coords="393,3908,433,3850,3907">y</WORD>
<WORD coords="477,3892,647,3847,3890">resto</WORD>
<WORD coords="710,3894,786,3838,3894">de</WORD>
<WORD coords="825,3900,929,3846,3899">40.</WORD>
<WORD coords="1020,3902,1081,3846,3902">A</WORD>
<WORD coords="1132,3901,1185,3846,3900">la</WORD>
<WORD coords="1232,3902,1394,3859,3902">resta</WORD>
<WORD coords="1440,3904,1475,3856,3905">8</WORD>
<WORD coords="1522,3909,1725,3854,3908">añado</WORD>
<WORD coords="1771,3911,1849,3875,3910">un</WORD>
<WORD coords="1901,3912,1940,3863,3912">O</WORD>
<WORD coords="1975,3932,1992,3829,3927">\</WORD>
<WORD coords="2029,3923,2258,3860,3918">divido</WORD>
<WORD coords="2305,3923,2355,3871,3922">el</WORD>
<WORD coords="2390,3925,2468,3877,3924">80</WORD>
<WORD coords="2499,3937,2607,3882,3920">por</WORD>
</LINE>
<LINE>
<WORD coords="237,4013,364,3937,4002">16,</WORD>
<WORD coords="419,3997,478,3940,3997">el</WORD>
<WORD coords="529,4004,815,3945,4001">cociente</WORD>
<WORD coords="862,4004,897,3954,4010">5</WORD>
<WORD coords="941,4027,1290,3949,4007">multiplico</WORD>
<WORD coords="1340,4027,1449,3972,4006">por</WORD>
<WORD coords="1501,4014,1560,3962,4014">el</WORD>
<WORD coords="1612,4021,1852,3961,4018">divisor</WORD>
<WORD coords="1878,4040,1901,4005,4026">,</WORD>
<WORD coords="1941,4026,2107,3978,4024">resto</WORD>
<WORD coords="2157,4029,2259,3968,4029">del</WORD>
<WORD coords="2325,4035,2609,3973,4032">dividen-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1346,4132,1438,4068,4131">23</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0095.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0096.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0096.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1790,526,1928,434,525">86</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="678,649,767,580,640">$o</WORD>
<WORD coords="824,660,865,602,654">y</WORD>
<WORD coords="911,643,1028,603,642">nao</WORD>
<WORD coords="1013,642,1069,585,642">*a</WORD>
<WORD coords="1125,661,1334,584,643">queda</WORD>
<WORD coords="1374,646,1450,585,645">de</WORD>
<WORD coords="1505,645,1870,582,643">diferencia.</WORD>
<WORD coords="1963,671,2134,589,648">Digo</WORD>
<WORD coords="2188,672,2337,610,652">pues</WORD>
<WORD coords="2409,674,2529,616,654">que</WORD>
<WORD coords="2620,657,2645,604,657">1</WORD>
<WORD coords="2685,658,2749,619,657">es</WORD>
<WORD coords="2796,683,2963,605,662">igual</WORD>
<WORD coords="3003,669,3037,608,669">i</WORD>
</LINE>
<LINE>
<WORD coords="679,765,778,697,746">O,</WORD>
<WORD coords="835,749,945,695,748">06</WORD>
<WORD coords="978,749,1013,700,749">2</WORD>
<WORD coords="1045,749,1097,699,749">5.</WORD>
<WORD coords="2623,763,2697,711,762">16</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="929,856,994,798,855">Si</WORD>
<WORD coords="1043,860,1099,801,855">el</WORD>
<WORD coords="1131,875,1449,800,857">quebrado</WORD>
<WORD coords="1505,858,1571,820,857">es</WORD>
<WORD coords="1633,880,1945,802,859">impropio</WORD>
<WORD coords="1980,877,1999,848,871">,</WORD>
<WORD coords="2078,863,2145,826,862">se</WORD>
<WORD coords="2205,865,2478,806,863">dividirá</WORD>
<WORD coords="2532,866,2587,810,866">el</WORD>
<WORD coords="2667,882,3042,821,874">numerador</WORD>
</LINE>
<LINE>
<WORD coords="679,992,794,918,959">por</WORD>
<WORD coords="846,962,901,906,961">el</WORD>
<WORD coords="950,964,1403,905,962">denominador</WORD>
<WORD coords="1430,945,1444,929,957">•</WORD>
<WORD coords="1486,966,1522,908,967">á</WORD>
<WORD coords="1562,964,1617,910,964">la</WORD>
<WORD coords="1676,967,1840,922,964">resta</WORD>
<WORD coords="1893,985,2011,930,967">que</WORD>
<WORD coords="2058,969,2287,914,967">resulte</WORD>
<WORD coords="2331,972,2395,935,971">se</WORD>
<WORD coords="2451,975,2745,917,972">añadirán</WORD>
<WORD coords="2806,979,2896,923,978">los</WORD>
<WORD coords="2941,985,3041,947,985">©e-</WORD>
</LINE>
<LINE>
<WORD coords="676,1068,784,1026,1066">ros</WORD>
<WORD coords="836,1089,953,1032,1069">que</WORD>
<WORD coords="993,1070,1058,1033,1070">se</WORD>
<WORD coords="1102,1073,1419,1016,1071">necesiten</WORD>
<WORD coords="1458,1098,1498,1036,1087">y</WORD>
<WORD coords="1552,1072,1618,1034,1071">se</WORD>
<WORD coords="1676,1074,1823,1013,1072">h¿ra</WORD>
<WORD coords="1872,1074,1923,1023,1072">la</WORD>
<WORD coords="1978,1098,2311,1008,1076">diyisíoa^</WORD>
<WORD coords="2347,1097,2655,1022,1079">poniendo</WORD>
<WORD coords="2693,1081,2746,1027,1081">ei</WORD>
<WORD coords="2795,1090,3039,1032,1086">cocien-</WORD>
</LINE>
<LINE>
<WORD coords="667,1186,725,1127,1185">p</WORD>
<WORD coords="789,1180,847,1121,1178">al</WORD>
<WORD coords="899,1178,1043,1123,1177">lado</WORD>
<WORD coords="1096,1181,1197,1124,1180">del</WORD>
<WORD coords="1259,1181,1474,1136,1180">entero</WORD>
<WORD coords="1523,1203,1793,1123,1183">después</WORD>
<WORD coords="1838,1183,1917,1127,1182">de</WORD>
<WORD coords="1967,1207,2156,1145,1183">pone-r</WORD>
<WORD coords="2205,1186,2275,1127,1184">la</WORD>
<WORD coords="2315,1189,2510,1146,1185">coma*</WORD>
<WORD coords="2604,1194,2725,1132,1189">Asi</WORD>
<WORD coords="2785,1188,2817,1140,1188">8</WORD>
<WORD coords="2869,1214,3038,1135,1194">igual</WORD>
</LINE>
<LINE>
<WORD coords="670,1296,709,1223,1292">4</WORD>
<WORD coords="753,1287,790,1236,1287">2</WORD>
<WORD coords="820,1309,847,1271,1298">&gt;</WORD>
<WORD coords="867,1284,905,1232,1286">6</WORD>
<WORD coords="934,1285,974,1234,1286">6</WORD>
<WORD coords="1002,1286,1038,1235,1287">6</WORD>
<WORD coords="1065,1287,1101,1235,1287">6</WORD>
<WORD coords="1134,1287,1171,1236,1287">6</WORD>
<WORD coords="1228,1294,1343,1228,1288">&amp;c&gt;</WORD>
<WORD coords="2797,1295,2836,1247,1295">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="925,1397,1416,1338,1395">Demostración*</WORD>
<WORD coords="1500,1398,1603,1328,1397">iLa</WORD>
<WORD coords="1657,1399,1849,1351,1397">rafeort</WORD>
<WORD coords="1904,1397,1982,1335,1396">de</WORD>
<WORD coords="2035,1399,2168,1333,1398">esta</WORD>
<WORD coords="2243,1421,2511,1342,1400">práctica</WORD>
<WORD coords="2570,1404,2634,1366,1403">es</WORD>
<WORD coords="2698,1403,2755,1346,1402">la</WORD>
<WORD coords="2811,1411,3038,1345,1404">misma</WORD>
</LINE>
<LINE>
<WORD coords="669,1519,795,1461,1503">que</WORD>
<WORD coords="840,1505,1049,1443,1502">dimos</WORD>
<WORD coords="1124,1503,1202,1466,1502">en</WORD>
<WORD coords="1265,1503,1326,1444,1502">el</WORD>
<WORD coords="1393,1519,1709,1447,1504">problema</WORD>
<WORD coords="1764,1529,1951,1449,1515">(115)</WORD>
<WORD coords="1998,1525,2117,1469,1506">que</WORD>
<WORD coords="2171,1508,2237,1469,1507">es</WORD>
<WORD coords="2286,1508,2342,1452,1508">el</WORD>
<WORD coords="2405,1526,2524,1472,1509">que</WORD>
<WORD coords="2578,1512,2902,1453,1510">acabamos</WORD>
<WORD coords="2961,1514,3039,1456,1514">de</WORD>
</LINE>
<LINE>
<WORD coords="662,1628,951,1552,1612">Resolver</WORD>
<WORD coords="986,1627,1004,1576,1627">$</WORD>
<WORD coords="1040,1629,1277,1572,1610">porque</WORD>
<WORD coords="1324,1613,1577,1552,1610">reducir</WORD>
<WORD coords="1621,1614,1703,1572,1612">un</WORD>
<WORD coords="1758,1630,2075,1557,1613">quebrado</WORD>
<WORD coords="2119,1613,2149,1558,1614">á</WORD>
<WORD coords="2175,1615,2439,1557,1613">decimal</WORD>
<WORD coords="2476,1634,2493,1601,1625">,</WORD>
<WORD coords="2528,1616,2605,1579,1615">no</WORD>
<WORD coords="2644,1621,2710,1581,1619">es</WORD>
<WORD coords="2757,1618,2887,1581,1617">mas</WORD>
<WORD coords="2919,1637,3039,1569,1620">qué</WORD>
</LINE>
<LINE>
<WORD coords="660,1725,922,1657,1718">Reducir</WORD>
<WORD coords="974,1721,1056,1678,1718">un</WORD>
<WORD coords="1095,1736,1416,1658,1718">quebrado</WORD>
<WORD coords="1462,1717,1493,1661,1718">á</WORD>
<WORD coords="1536,1718,1671,1670,1717">otro</WORD>
<WORD coords="1716,1745,1877,1680,1718">cuyo</WORD>
<WORD coords="1935,1723,2386,1662,1719">denominador</WORD>
<WORD coords="2425,1721,2526,1684,1720">sea</WORD>
<WORD coords="2591,1723,2669,1671,1728">10</WORD>
<WORD coords="2693,1739,2710,1710,1723">,</WORD>
<WORD coords="2762,1723,2878,1673,1726">100</WORD>
<WORD coords="2901,1737,2917,1710,1726">,</WORD>
<WORD coords="2951,1726,3024,1664,1725">&amp;,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="923,1824,1052,1766,1823">Por</WORD>
<WORD coords="1108,1826,1277,1778,1823">tanto</WORD>
<WORD coords="1306,1840,1324,1811,1840">t</WORD>
<WORD coords="1353,1843,1500,1785,1824">para</WORD>
<WORD coords="1545,1827,1798,1767,1824">reducir</WORD>
<WORD coords="1853,1824,1910,1766,1823">el</WORD>
<WORD coords="1963,1844,2282,1769,1823">quebrado</WORD>
<WORD coords="2317,1824,2344,1777,1824">á</WORD>
<WORD coords="2396,1829,2682,1769,1827">decimos</WORD>
<WORD coords="2710,1849,2737,1816,1839">^</WORD>
<WORD coords="2758,1829,2821,1793,1829">se</WORD>
<WORD coords="2870,1833,3031,1776,1832">mul-</WORD>
</LINE>
<LINE>
<WORD coords="668,1946,884,1869,1928">tiplica</WORD>
<WORD coords="928,1930,1004,1890,1929">su</WORD>
<WORD coords="1050,1931,1427,1873,1929">numerador</WORD>
<WORD coords="1480,1949,1598,1891,1930">por</WORD>
<WORD coords="1666,1939,1753,1872,1929">10*</WORD>
<WORD coords="1785,1931,1900,1891,1930">con</WORD>
<WORD coords="1977,1931,2109,1874,1930">solo</WORD>
<WORD coords="2155,1934,2431,1875,1930">añadirle</WORD>
<WORD coords="2497,1933,2579,1896,1933">un</WORD>
<WORD coords="2635,1933,2776,1896,1932">cero</WORD>
<WORD coords="2805,1949,2821,1924,1949">,</WORD>
<WORD coords="2876,1955,2916,1899,1945">y</WORD>
<WORD coords="2976,1935,3034,1875,1935">el</WORD>
</LINE>
<LINE>
<WORD coords="667,2036,948,1976,2033">cociente</WORD>
<WORD coords="994,2054,1266,1980,2035">ocupará-</WORD>
<WORD coords="1301,2037,1358,1980,2036">el</WORD>
<WORD coords="1402,2056,1582,1979,2034">lugar</WORD>
<WORD coords="1628,2038,1705,1977,2037">de</WORD>
<WORD coords="1750,2035,1835,1980,2035">las</WORD>
<WORD coords="1871,2036,2152,1978,2034">décimas</WORD>
<WORD coords="2200,2052,2317,2000,2036">que</WORD>
<WORD coords="2362,2038,2436,1999,2038">es</WORD>
<WORD coords="2487,2037,2543,1982,2037">el</WORD>
<WORD coords="2596,2057,2861,1982,2038">primero</WORD>
<WORD coords="2895,2042,3035,1984,2040">des»</WORD>
</LINE>
<LINE>
<WORD coords="666,2165,822,2097,2139">jues</WORD>
<WORD coords="876,2142,955,2084,2141">de</WORD>
<WORD coords="1010,2143,1075,2084,2141">la</WORD>
<WORD coords="1117,2142,1295,2098,2140">coma</WORD>
<WORD coords="1321,2145,1337,2107,2145">:</WORD>
<WORD coords="1371,2163,1512,2094,2141">para</WORD>
<WORD coords="1552,2144,1869,2085,2142">reducirlo</WORD>
<WORD coords="1909,2143,1947,2090,2143">1</WORD>
<WORD coords="1993,2143,2366,2086,2141">centésimas</WORD>
<WORD coords="2405,2145,2470,2108,2144">se</WORD>
<WORD coords="2517,2161,2922,2088,2145">muJtiplkará</WORD>
<WORD coords="2956,2150,3034,2107,2147">su</WORD>
</LINE>
<LINE>
<WORD coords="666,2253,1048,2191,2247">numerador</WORD>
<WORD coords="1091,2267,1206,2208,2248">por</WORD>
<WORD coords="1241,2260,1389,2199,2251">100,</WORD>
<WORD coords="1426,2250,1483,2192,2249">lo</WORD>
<WORD coords="1534,2269,1654,2212,2250">que</WORD>
<WORD coords="1705,2249,1770,2212,2248">se</WORD>
<WORD coords="1831,2274,2123,2191,2247">consigue</WORD>
<WORD coords="2187,2251,2599,2193,2248">añadiéndole</WORD>
<WORD coords="2659,2252,2770,2195,2250">dos</WORD>
<WORD coords="2829,2286,3029,2213,2249">ceros^</WORD>
</LINE>
<LINE>
<WORD coords="667,2375,709,2311,2364">y</WORD>
<WORD coords="752,2350,806,2294,2350">el</WORD>
<WORD coords="866,2356,1142,2296,2354">cociente</WORD>
<WORD coords="1196,2357,1432,2298,2356">deberá</WORD>
<WORD coords="1461,2377,1651,2300,2355">llegar</WORD>
<WORD coords="1694,2356,1868,2297,2354">hasta</WORD>
<WORD coords="1914,2355,1969,2299,2354">el</WORD>
<WORD coords="2003,2374,2177,2302,2353">lugar</WORD>
<WORD coords="2233,2353,2308,2298,2353">de</WORD>
<WORD coords="2342,2355,2428,2300,2355">las</WORD>
<WORD coords="2463,2373,2863,2301,2355">centesimas,</WORD>
<WORD coords="2900,2375,3020,2319,2357">que</WORD>
</LINE>
<LINE>
<WORD coords="668,2460,737,2421,2460">©s</WORD>
<WORD coords="805,2468,861,2406,2463">ej</WORD>
<WORD coords="907,2483,1189,2405,2461">segundo</WORD>
<WORD coords="1239,2480,1512,2406,2463">después</WORD>
<WORD coords="1560,2462,1646,2406,2461">aV</WORD>
<WORD coords="1681,2462,1745,2406,2461">la</WORD>
<WORD coords="1787,2463,1981,2424,2461">coma.</WORD>
<WORD coords="2078,2461,2172,2407,2460">En</WORD>
<WORD coords="2230,2460,2308,2402,2459">fin</WORD>
<WORD coords="2343,2468,2362,2450,2465">,</WORD>
<WORD coords="2427,2462,2679,2417,2460">cuantos</WORD>
<WORD coords="2728,2464,2902,2426,2462">ceros</WORD>
<WORD coords="2957,2461,3022,2416,2460">se</WORD>
</LINE>
<LINE>
<WORD coords="669,2569,917,2509,2566">añadan</WORD>
<WORD coords="975,2566,1031,2512,2566">al</WORD>
<WORD coords="1086,2569,1467,2511,2567">numerador</WORD>
<WORD coords="1502,2586,1517,2556,2586">,</WORD>
<WORD coords="1559,2589,1639,2532,2569">ya</WORD>
<WORD coords="1640,2570,1646,2553,2570">;</WORD>
<WORD coords="1683,2569,1781,2532,2568">sea</WORD>
<WORD coords="1829,2586,1937,2532,2567">por</WORD>
<WORD coords="1982,2591,2166,2512,2567">junto</WORD>
<WORD coords="2200,2585,2215,2558,2585">,</WORD>
<WORD coords="2258,2588,2334,2532,2567">ya</WORD>
<WORD coords="2376,2568,2473,2532,2567">sea</WORD>
<WORD coords="2526,2571,3023,2513,2566">sucesivamente</WORD>
</LINE>
<LINE>
<WORD coords="671,2673,1024,2616,2672">añadiendo</WORD>
<WORD coords="1068,2674,1098,2618,2673">á</WORD>
<WORD coords="1141,2673,1229,2615,2672">las</WORD>
<WORD coords="1273,2675,1474,2629,2673">restas</WORD>
<WORD coords="1503,2694,1624,2632,2675">que</WORD>
<WORD coords="1658,2691,1902,2619,2675">qóedan</WORD>
<WORD coords="1958,2695,2225,2618,2674">después</WORD>
<WORD coords="2273,2674,2350,2620,2673">de</WORD>
<WORD coords="2393,2673,2627,2618,2672">dividir</WORD>
<WORD coords="2645,2689,2661,2663,2681">,</WORD>
<WORD coords="2701,2672,2865,2628,2670">otros</WORD>
<WORD coords="2897,2670,3025,2627,2669">tan-</WORD>
</LINE>
<LINE>
<WORD coords="667,2782,765,2733,2780">tos</WORD>
<WORD coords="799,2800,1148,2721,2779">guarismos</WORD>
<WORD coords="1178,2782,1516,2724,2779">decimales</WORD>
<WORD coords="1798,2783,1918,2743,2781">wm</WORD>
<WORD coords="1951,2781,2290,2725,2778">resultarán</WORD>
<WORD coords="2320,2779,2374,2724,2778">al</WORD>
<WORD coords="2404,2779,2545,2723,2778">lado</WORD>
<WORD coords="2578,2778,2653,2725,2778">de</WORD>
<WORD coords="2686,2779,2742,2725,2778">la</WORD>
<WORD coords="2776,2775,2969,2739,2775">coma»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="756,2889,894,2835,2882">140-</WORD>
<WORD coords="989,2888,1258,2825,2885">Escolio.</WORD>
<WORD coords="1312,2888,1558,2830,2887">Cuando</WORD>
<WORD coords="1594,2886,1659,2848,2885">se</WORD>
<WORD coords="1700,2908,1848,2831,2886">pide</WORD>
<WORD coords="1908,2886,2153,2831,2884">reducir</WORD>
<WORD coords="2212,2886,2247,2850,2886">a</WORD>
<WORD coords="2301,2885,2558,2816,2884">decimal</WORD>
<WORD coords="2599,2884,2679,2847,2883">un</WORD>
<WORD coords="2729,2912,3032,2825,2881">quebradp</WORD>
</LINE>
<LINE>
<WORD coords="668,2995,882,2946,2993">tomun</WORD>
<WORD coords="911,3006,928,2980,3006">,</WORD>
<WORD coords="958,3012,1092,2933,2991">bajo</WORD>
<WORD coords="1136,2999,1200,2936,2993">la.</WORD>
<WORD coords="1237,2996,1553,2938,2994">condición</WORD>
<WORD coords="1595,2994,1666,2939,2994">de</WORD>
<WORD coords="1707,2994,1780,2956,2993">no</WORD>
<WORD coords="1816,3013,2043,2936,2991">perder</WORD>
<WORD coords="2091,2992,2285,2946,2991">cierta</WORD>
<WORD coords="2341,2992,2578,2936,2991">anidad</WORD>
<WORD coords="2624,3010,2884,2931,2990">inferior</WORD>
<WORD coords="2926,2988,3032,2932,2986">da&apos;</WORD>
</LINE>
<LINE>
<WORD coords="677,3099,757,3042,3098">da</WORD>
<WORD coords="793,3113,811,3066,3106">;</WORD>
<WORD coords="848,3099,913,3062,3098">se</WORD>
<WORD coords="972,3102,1219,3045,3100">sacarán</WORD>
<WORD coords="1281,3104,1490,3052,3102">tantos</WORD>
<WORD coords="1545,3124,1901,3044,3100">guarismos</WORD>
<WORD coords="1967,3099,2301,3044,3098">decimales</WORD>
<WORD coords="2360,3097,2489,3062,3096">mas</WORD>
<WORD coords="2545,3098,2665,3061,3096">uno</WORD>
<WORD coords="2699,3111,2716,3083,3104">,</WORD>
<WORD coords="2774,3095,3035,3048,3092">cuantos</WORD>
</LINE>
<LINE>
<WORD coords="665,3241,1022,3146,3204">guarismos</WORD>
<WORD coords="1063,3230,1245,3160,3207">tenga</WORD>
<WORD coords="1286,3210,1346,3156,3208">él</WORD>
<WORD coords="1394,3213,1658,3169,3208">numero</WORD>
<WORD coords="1705,3224,1823,3170,3208">que</WORD>
<WORD coords="1904,3224,2160,3168,3204">espresa</WORD>
<WORD coords="2210,3205,2304,3150,3204">las</WORD>
<WORD coords="2363,3220,2584,3167,3202">veces,</WORD>
<WORD coords="2622,3220,2737,3166,3201">que</WORD>
<WORD coords="2792,3200,2845,3145,3200">la</WORD>
<WORD coords="2902,3199,3038,3142,3197">uni-</WORD>
</LINE>
<LINE>
<WORD coords="667,3315,798,3256,3314">dad</WORD>
<WORD coords="838,3325,1093,3252,3317">inferior</WORD>
<WORD coords="1142,3335,1260,3279,3315">que</WORD>
<WORD coords="1318,3315,1398,3277,3315">no</WORD>
<WORD coords="1445,3316,1510,3274,3315">se</WORD>
<WORD coords="1558,3334,1774,3258,3313">quiere</WORD>
<WORD coords="1823,3331,2043,3256,3310">perder</WORD>
<WORD coords="2077,3325,2096,3299,3318">,</WORD>
<WORD coords="2140,3310,2204,3275,3310">se</WORD>
<WORD coords="2254,3311,2532,3254,3309">contiene</WORD>
<WORD coords="2586,3310,2657,3274,3309">en</WORD>
<WORD coords="2704,3307,2755,3258,3307">la</WORD>
<WORD coords="2806,3306,3042,3243,3303">unidad</WORD>
</LINE>
<LINE>
<WORD coords="667,3442,833,3379,3424">Cuyo</WORD>
<WORD coords="888,3423,955,3385,3422">es</WORD>
<WORD coords="1001,3423,1057,3365,3422">ei</WORD>
<WORD coords="1103,3440,1420,3365,3423">quebrado</WORD>
<WORD coords="1468,3423,1717,3384,3421">cemun.</WORD>
<WORD coords="1811,3424,1932,3361,3420">Asi</WORD>
<WORD coords="1963,3426,1980,3400,3422">,</WORD>
<WORD coords="2045,3418,2097,3363,3418">si</WORD>
<WORD coords="2144,3439,2360,3362,3415">quiero</WORD>
<WORD coords="2432,3417,2683,3360,3415">reducir</WORD>
<WORD coords="2738,3409,2771,3361,3412">3</WORD>
<WORD coords="2802,3410,2876,3357,3409">de</WORD>
<WORD coords="2938,3428,3040,3372,3410">pe-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="670,3615,745,3565,3612">áo</WORD>
<WORD coords="790,3612,946,3543,3610">duro</WORD>
<WORD coords="1001,3611,1033,3554,3611">á</WORD>
<WORD coords="1103,3630,1422,3553,3609">quebrado</WORD>
<WORD coords="1471,3610,1733,3552,3608">decimal</WORD>
<WORD coords="1768,3628,1787,3599,3619">,</WORD>
<WORD coords="1838,3611,1951,3572,3609">con</WORD>
<WORD coords="2010,3609,2068,3553,3609">la</WORD>
<WORD coords="2123,3607,2450,3550,3605">condición</WORD>
<WORD coords="2510,3605,2587,3548,3604">de</WORD>
<WORD coords="2656,3620,2773,3563,3600">que</WORD>
<WORD coords="2826,3597,2903,3561,3597">no</WORD>
<WORD coords="2970,3597,3043,3557,3596">se</WORD>
</LINE>
<LINE>
<WORD coords="671,3740,892,3661,3718">pierda</WORD>
<WORD coords="936,3718,1018,3679,3717">un</WORD>
<WORD coords="1073,3719,1355,3663,3717">cuartillo</WORD>
<WORD coords="1383,3736,1402,3687,3725">;</WORD>
<WORD coords="1454,3715,1597,3679,3714">veré</WORD>
<WORD coords="1648,3734,1766,3681,3716">que</WORD>
<WORD coords="1827,3716,1880,3661,3715">el</WORD>
<WORD coords="1931,3736,2078,3678,3715">peso</WORD>
<WORD coords="2127,3715,2193,3678,3714">se</WORD>
<WORD coords="2250,3730,2550,3676,3711">compone</WORD>
<WORD coords="2601,3708,2675,3651,3707">de</WORD>
<WORD coords="2739,3705,2812,3656,3707">32</WORD>
<WORD coords="2858,3704,3035,3665,3702">cuar-</WORD>
</LINE>
<LINE>
<WORD coords="662,3831,838,3752,3826">tillos</WORD>
<WORD coords="869,3842,886,3813,3841">,</WORD>
<WORD coords="921,3841,963,3781,3832">y</WORD>
<WORD coords="1016,3823,1194,3785,3822">como</WORD>
<WORD coords="1233,3824,1365,3780,3822">este</WORD>
<WORD coords="1410,3825,1670,3782,3822">numero</WORD>
<WORD coords="1715,3822,1877,3766,3821">tiene</WORD>
<WORD coords="1930,3820,2048,3768,3820">dos</WORD>
<WORD coords="2094,3841,2445,3764,3817">guarismos</WORD>
<WORD coords="2474,3834,2493,3806,3826">,</WORD>
<WORD coords="2522,3818,2732,3755,3813">sacaré</WORD>
<WORD coords="2781,3808,2902,3767,3806">tres</WORD>
<WORD coords="2949,3808,3034,3767,3806">cr-</WORD>
</LINE>
<LINE>
<WORD coords="661,3935,803,3872,3932">iaras</WORD>
<WORD coords="849,3933,1223,3872,3928">decimales,</WORD>
<WORD coords="1280,3948,1320,3892,3938">y</WORD>
<WORD coords="1364,3928,1580,3871,3927">tendré</WORD>
<WORD coords="1626,3927,1679,3873,3926">el</WORD>
<WORD coords="1728,3926,1760,3877,3926">3</WORD>
<WORD coords="1819,3928,2078,3860,3925">ochavo^</WORD>
<WORD coords="2140,3924,2445,3869,3922">reducido</WORD>
<WORD coords="2501,3924,2526,3872,3924">á</WORD>
<WORD coords="2570,3931,2659,3875,3926">0,</WORD>
<WORD coords="2706,3917,2736,3871,3921">3</WORD>
<WORD coords="2774,3918,2809,3867,3921">7</WORD>
<WORD coords="2842,3915,2896,3868,3914">5.</WORD>
</LINE>
<LINE>
<WORD coords="743,4039,894,3982,4039">Í4?l.</WORD>
<WORD coords="982,4037,1255,3975,4035">Escolio.</WORD>
<WORD coords="1355,4038,1456,3977,4037">Un</WORD>
<WORD coords="1502,4064,1803,3976,4039">quebrado</WORD>
<WORD coords="1860,4046,2073,3995,4034">común,</WORD>
<WORD coords="2115,4037,2239,3975,4033">aoIo</WORD>
<WORD coords="2292,4031,2357,3993,4031">se</WORD>
<WORD coords="2400,4055,2607,3975,4039">púdica</WORD>
<WORD coords="2694,4025,2935,3974,4022">reducir</WORD>
<WORD coords="2991,4023,3034,3980,4023">a</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0096.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0097.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0097.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1342,544,1482,440,543">Sf</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="219,662,475,599,656">décima!</WORD>
<WORD coords="512,655,571,617,654">es</WORD>
<WORD coords="578,655,710,608,654">acto</WORD>
<WORD coords="744,672,761,642,666">,</WORD>
<WORD coords="834,657,1063,595,655">cuando</WORD>
<WORD coords="1128,656,1191,598,655">ei&apos;</WORD>
<WORD coords="1240,656,1672,599,654">dtnonunador</WORD>
<WORD coords="1727,676,1919,611,656">Ung®</WORD>
<WORD coords="1999,681,2118,613,658">por</WORD>
<WORD coords="2193,686,2486,604,672">jfaifd|f*4</WORD>
<WORD coords="2542,671,2583,624,671">%</WORD>
</LINE>
<LINE>
<WORD coords="220,781,259,724,771">y</WORD>
<WORD coords="307,760,340,713,761">5</WORD>
<WORD coords="368,776,450,724,761">,o</WORD>
<WORD coords="505,763,830,714,761">solamente</WORD>
<WORD coords="882,763,999,725,762">uno</WORD>
<WORD coords="1056,761,1127,708,761">de</WORD>
<WORD coords="1179,761,1334,714,759">e^tos</WORD>
<WORD coords="1379,779,1417,723,756">ij</WORD>
<WORD coords="1476,762,1548,723,761">no</WORD>
<WORD coords="1614,762,1779,715,760">ctrcs</WORD>
<WORD coords="1821,772,1836,729,767">;</WORD>
<WORD coords="1902,761,1992,708,760">La</WORD>
<WORD coords="2050,767,2234,728,763">razun</WORD>
<WORD coords="2297,782,2358,728,778">%%</WORD>
<WORD coords="2542,771,2589,743,767">&lt;-</WORD>
</LINE>
<LINE>
<WORD coords="181,872,187,866,872">.</WORD>
<WORD coords="232,885,351,829,866">que</WORD>
<WORD coords="416,885,522,830,865">por</WORD>
<WORD coords="576,867,728,814,866">cada</WORD>
<WORD coords="771,867,814,818,867">O</WORD>
<WORD coords="859,887,979,831,867">que</WORD>
<WORD coords="1043,868,1108,831,867">se</WORD>
<WORD coords="1154,866,1351,814,865">añada</WORD>
<WORD coords="1397,865,1452,811,864">al</WORD>
<WORD coords="1523,881,1934,814,866">numerador,</WORD>
<WORD coords="1991,868,2053,833,867">se</WORD>
<WORD coords="2113,867,2166,814,867">le</WORD>
<WORD coords="2245,898,2589,823,880">multiplica</WORD>
</LINE>
<LINE>
<WORD coords="230,994,342,934,971">por</WORD>
<WORD coords="406,974,481,925,973">10</WORD>
<WORD coords="537,995,702,917,975">igual</WORD>
<WORD coords="765,975,797,922,975">á</WORD>
<WORD coords="852,974,886,930,982">2</WORD>
<WORD coords="938,991,1005,924,980">&gt;&lt;</WORD>
<WORD coords="1033,972,1065,927,973">5</WORD>
<WORD coords="1104,979,1119,942,979">;</WORD>
<WORD coords="1189,993,1432,917,972">ahora,,</WORD>
<WORD coords="1479,973,1531,917,972">si</WORD>
<WORD coords="1580,972,1670,921,972">los</WORD>
<WORD coords="1732,974,2003,917,972">factoíes</WORD>
<WORD coords="2051,974,2148,922,972">del</WORD>
<WORD coords="2209,975,2228,942,975">c</WORD>
<WORD coords="2323,982,2448,926,981">L^r</WORD>
<WORD coords="2481,988,2591,952,985">son</WORD>
</LINE>
<LINE>
<WORD coords="229,1081,414,1026,1079">todos</WORD>
<WORD coords="468,1079,501,1034,1080">2</WORD>
<WORD coords="537,1093,550,1068,1093">,</WORD>
<WORD coords="616,1099,726,1043,1079">por</WORD>
<WORD coords="770,1081,923,1026,1079">cada</WORD>
<WORD coords="984,1097,1472,1024,1078">multiplkarion</WORD>
<WORD coords="1519,1080,1582,1044,1079">se</WORD>
<WORD coords="1637,1097,1778,1025,1079">pud»</WORD>
<WORD coords="1803,1088,1827,1042,1088">|</WORD>
<WORD coords="1888,1097,2185,1025,1079">suprimir</WORD>
<WORD coords="2257,1088,2336,1052,1087">un</WORD>
<WORD coords="2392,1089,2424,1044,1089">2</WORD>
<WORD coords="2485,1093,2545,1035,1093">a\</WORD>
<WORD coords="2571,1090,2591,1033,1090">i</WORD>
</LINE>
<LINE>
<WORD coords="227,1194,468,1135,1190">divisor</WORD>
<WORD coords="522,1210,561,1154,1207">y</WORD>
<WORD coords="608,1204,995,1133,1189">dividendo,</WORD>
<WORD coords="1051,1190,1226,1132,1188">hasta</WORD>
<WORD coords="1287,1207,1406,1152,1188">que</WORD>
<WORD coords="1467,1189,1530,1153,1188">se</WORD>
<WORD coords="1586,1207,1902,1134,1187">supriman</WORD>
<WORD coords="1951,1193,2131,1134,1191">lodos</WORD>
<WORD coords="2200,1194,2286,1131,1192">los</WORD>
<WORD coords="2345,1198,2441,1138,1196">del</WORD>
<WORD coords="2491,1197,2584,1145,1196">di-</WORD>
</LINE>
<LINE>
<WORD coords="226,1314,360,1260,1314">W9</WORD>
<WORD coords="370,1293,395,1259,1293">r</WORD>
<WORD coords="399,1312,417,1285,1313">»</WORD>
<WORD coords="508,1318,541,1259,1310">y</WORD>
<WORD coords="626,1302,914,1251,1295">entontes</WORD>
<WORD coords="971,1294,1049,1257,1293">no</WORD>
<WORD coords="1118,1313,1387,1237,1293">quedará</WORD>
<WORD coords="1448,1301,1630,1250,1295">resta.</WORD>
<WORD coords="1721,1295,1839,1239,1294">Asi</WORD>
<WORD coords="1902,1295,1953,1241,1294">el</WORD>
<WORD coords="2023,1315,2338,1243,1296">qutbiado</WORD>
<WORD coords="2388,1297,2419,1252,1297">3</WORD>
<WORD coords="2486,1304,2586,1250,1302">del</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2383,1407,2441,1330,1376">*8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="222,1509,495,1430,1489">ejemplo</WORD>
<WORD coords="547,1498,865,1428,1484">anterior,</WORD>
<WORD coords="910,1508,1274,1427,1482">ejecutando</WORD>
<WORD coords="1331,1482,1388,1426,1479">ta</WORD>
<WORD coords="1437,1504,1606,1422,1481">regía</WORD>
<WORD coords="1652,1495,1795,1444,1480">para</WORD>
<WORD coords="1830,1485,2141,1429,1482">reducirlo</WORD>
<WORD coords="2198,1484,2223,1431,1484">á</WORD>
<WORD coords="2275,1505,2571,1430,1486">decima!,</WORD>
</LINE>
<LINE>
<WORD coords="226,1626,292,1553,1592">gs</WORD>
<WORD coords="371,1590,530,1541,1589">3000</WORD>
<WORD coords="558,1590,571,1556,1590">;</WORD>
<WORD coords="609,1591,645,1544,1590">8</WORD>
<WORD coords="708,1589,821,1544,1588">=Sr</WORD>
<WORD coords="872,1590,905,1542,1590">3</WORD>
<WORD coords="941,1591,1004,1534,1591">X.</WORD>
<WORD coords="1027,1591,1059,1544,1590">2</WORD>
<WORD coords="1087,1589,1144,1534,1589">X</WORD>
<WORD coords="1177,1589,1208,1543,1589">5</WORD>
<WORD coords="1241,1591,1297,1531,1591">X</WORD>
<WORD coords="1326,1589,1359,1543,1589">2</WORD>
<WORD coords="1387,1588,1442,1531,1588">X</WORD>
<WORD coords="1472,1587,1503,1541,1588">5</WORD>
<WORD coords="1539,1587,1594,1532,1587">X</WORD>
<WORD coords="1630,1587,1661,1542,1588">2</WORD>
<WORD coords="1698,1587,1751,1531,1587">X</WORD>
<WORD coords="1786,1587,1818,1541,1588">5</WORD>
<WORD coords="1851,1590,1865,1554,1590">:</WORD>
<WORD coords="1910,1590,1944,1543,1590">2</WORD>
<WORD coords="1980,1591,2034,1534,1591">X</WORD>
<WORD coords="2069,1593,2100,1523,1591">í</WORD>
<WORD coords="2136,1590,2198,1534,1590">X</WORD>
<WORD coords="2227,1591,2258,1546,1591">2</WORD>
<WORD coords="2295,1603,2311,1580,1603">,</WORD>
<WORD coords="2385,1613,2425,1557,1604">y</WORD>
<WORD coords="2478,1595,2582,1560,1593">su-</WORD>
</LINE>
<LINE>
<WORD coords="226,1717,577,1641,1696">primkndo</WORD>
<WORD coords="631,1698,897,1640,1696">factores</WORD>
<WORD coords="948,1698,1240,1659,1695">comunes</WORD>
<WORD coords="1274,1710,1291,1681,1703">,</WORD>
<WORD coords="1336,1695,1399,1659,1694">es</WORD>
<WORD coords="1440,1715,1605,1639,1692">igual</WORD>
<WORD coords="1667,1693,1694,1640,1692">á</WORD>
<WORD coords="1694,1692,1701,1658,1696">;</WORD>
<WORD coords="1748,1693,1781,1639,1694">&lt;3</WORD>
<WORD coords="1816,1708,1883,1644,1708">X</WORD>
<WORD coords="1935,1694,1969,1647,1695">5</WORD>
<WORD coords="2004,1709,2072,1647,1703">&gt;&lt;;</WORD>
<WORD coords="2114,1694,2147,1649,1695">5</WORD>
<WORD coords="2279,1698,2311,1652,1698">5</WORD>
<WORD coords="2345,1700,2358,1666,1700">;</WORD>
<WORD coords="2425,1700,2447,1654,1700">1</WORD>
<WORD coords="2483,1700,2590,1659,1698">=zs</WORD>
</LINE>
<LINE>
<WORD coords="228,1811,371,1757,1810">£75.</WORD>
<WORD coords="462,1811,557,1752,1811">Lo</WORD>
<WORD coords="610,1809,840,1750,1808">mismo</WORD>
<WORD coords="896,1809,1173,1750,1806">diremos</WORD>
<WORD coords="1217,1807,1460,1748,1805">cuando</WORD>
<WORD coords="1514,1805,1606,1748,1805">los</WORD>
<WORD coords="1662,1805,1932,1745,1803">factores</WORD>
<WORD coords="1986,1805,2089,1751,1804">del</WORD>
<WORD coords="2134,1808,2590,1750,1805">denominador</WORD>
</LINE>
<LINE>
<WORD coords="229,1921,342,1880,1918">sen</WORD>
<WORD coords="408,1919,465,1869,1918">5.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="482,2026,745,1964,2023">Cuando</WORD>
<WORD coords="792,2022,847,1962,2020">el</WORD>
<WORD coords="894,2020,1347,1960,2017">denominador</WORD>
<WORD coords="1400,2017,1564,1960,2016">tiene</WORD>
<WORD coords="1623,2016,1790,1970,2015">otros</WORD>
<WORD coords="1835,2014,2105,1956,2013">factores</WORD>
<WORD coords="2141,2030,2157,2003,2023">,</WORD>
<WORD coords="2202,2016,2257,1960,2015">al</WORD>
<WORD coords="2312,2018,2462,1965,2017">cabo</WORD>
<WORD coords="2515,2017,2595,1961,2016">de</WORD>
</LINE>
<LINE>
<WORD coords="227,2141,422,2074,2129">cierto</WORD>
<WORD coords="481,2143,714,2072,2126">tiempo</WORD>
<WORD coords="763,2127,827,2089,2126">se</WORD>
<WORD coords="878,2142,1115,2068,2124">repiten</WORD>
<WORD coords="1175,2124,1265,2069,2123">los</WORD>
<WORD coords="1325,2123,1586,2067,2122">mismos</WORD>
<WORD coords="1641,2121,1950,2064,2119">cocientes</WORD>
<WORD coords="1989,2133,2005,2109,2133">,</WORD>
<WORD coords="2049,2140,2088,2085,2131">y</WORD>
<WORD coords="2149,2123,2438,2076,2120">entonces</WORD>
<WORD coords="2493,2123,2586,2087,2123">es-</WORD>
</LINE>
<LINE>
<WORD coords="224,2237,285,2188,2236">ta</WORD>
<WORD coords="317,2235,589,2177,2233">fracción</WORD>
<WORD coords="636,2235,906,2174,2231">decimal</WORD>
<WORD coords="936,2231,998,2193,2231">se</WORD>
<WORD coords="1028,2230,1210,2174,2229">llama</WORD>
<WORD coords="1233,2251,1550,2171,2227">periódica</WORD>
<WORD coords="1573,2241,1589,2195,2228">;</WORD>
<WORD coords="1621,2227,1704,2171,2226">tal</WORD>
<WORD coords="1733,2225,1802,2191,2224">es</WORD>
<WORD coords="1831,2222,1865,2177,2225">2</WORD>
<WORD coords="1900,2221,2008,2182,2221">=r</WORD>
<WORD coords="2042,2226,2208,2174,2225">6666</WORD>
<WORD coords="2238,2229,2350,2170,2228">8*c*</WORD>
<WORD coords="2388,2233,2593,2172,2229">Cuaa-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1815,2329,1865,2251,2297">3*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="219,2427,304,2368,2424">do</WORD>
<WORD coords="350,2440,516,2376,2420">parte</WORD>
<WORD coords="566,2420,664,2362,2419">de!</WORD>
<WORD coords="717,2420,999,2362,2418">cociente</WORD>
<WORD coords="1060,2418,1125,2380,2418">se</WORD>
<WORD coords="1176,2434,1372,2361,2416">repite</WORD>
<WORD coords="1408,2434,1424,2406,2434">,</WORD>
<WORD coords="1472,2437,1510,2380,2436">y</WORD>
<WORD coords="1559,2436,1731,2371,2416">parte</WORD>
<WORD coords="1782,2421,1860,2379,2417">no</WORD>
<WORD coords="1903,2429,1919,2403,2422">,</WORD>
<WORD coords="1965,2416,2015,2359,2414">la</WORD>
<WORD coords="2070,2417,2345,2353,2413">fracción</WORD>
<WORD coords="2403,2414,2467,2377,2414">se</WORD>
<WORD coords="2497,2414,2594,2358,2414">dí-</WORD>
</LINE>
<LINE>
<WORD coords="213,2533,295,2487,2532">%e</WORD>
<WORD coords="345,2549,463,2492,2531">que</WORD>
<WORD coords="509,2529,575,2491,2528">es</WORD>
<WORD coords="606,2550,857,2468,2525">parcial</WORD>
<WORD coords="860,2526,1048,2478,2525">mente</WORD>
<WORD coords="1097,2548,1409,2467,2524">periódica</WORD>
<WORD coords="1431,2541,1445,2492,2534">;</WORD>
<WORD coords="1494,2527,1591,2468,2524">asi</WORD>
<WORD coords="1654,2527,1701,2475,2525">.5</WORD>
<WORD coords="1924,2521,1965,2472,2523">Q</WORD>
<WORD coords="1997,2539,2012,2510,2531">,</WORD>
<WORD coords="2041,2522,2254,2469,2519">41.66.6-</WORD>
<WORD coords="2299,2537,2412,2466,2523">%c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1639,2629,1713,2580,2628">12</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1098,2744,1321,2678,2737">Mumat.</WORD>
<WORD coords="1376,2738,1709,2673,2734">dechnaicü.</WORD>
</LINE>
<LINE>
<WORD coords="297,2859,448,2791,2852">%£&amp;</WORD>
<WORD coords="545,2847,871,2787,2845">Problema</WORD>
<WORD coords="901,2866,943,2800,2855">y</WORD>
<WORD coords="993,2845,1369,2786,2842">rfesolucion,</WORD>
<WORD coords="1424,2844,1592,2785,2841">Aira</WORD>
<WORD coords="1641,2841,1850,2802,2840">sumar</WORD>
<WORD coords="1906,2855,2221,2782,2840">^cimxiks</WORD>
<WORD coords="2252,2853,2267,2827,2847">,</WORD>
<WORD coords="2303,2841,2368,2801,2840">se</WORD>
<WORD coords="2421,2852,2590,2776,2840">cojo-</WORD>
</LINE>
<LINE>
<WORD coords="221,2963,340,2917,2958">•C-an</WORD>
<WORD coords="386,2956,475,2903,2955">los</WORD>
<WORD coords="535,2956,870,2895,2951">sumandos</WORD>
<WORD coords="930,2951,1081,2913,2948">unos</WORD>
<WORD coords="1137,2969,1362,2892,2947">debajo</WORD>
<WORD coords="1420,2953,1496,2892,2950">de</WORD>
<WORD coords="1546,2953,1713,2901,2948">otros</WORD>
<WORD coords="1750,2959,1766,2932,2953">,</WORD>
<WORD coords="1802,2946,1878,2890,2946">de</WORD>
<WORD coords="1928,2959,2114,2890,2945">mo.cjü</WORD>
<WORD coords="2162,2961,2280,2907,2945">que</WORD>
<WORD coords="2343,2944,2406,2908,2943">se</WORD>
<WORD coords="2453,2942,2590,2907,2941">cor-</WORD>
</LINE>
<LINE>
<WORD coords="224,3072,577,3006,3061">respondan</WORD>
<WORD coords="631,3059,911,3001,3056">décimas</WORD>
<WORD coords="968,3078,1189,2998,3057">de&amp;ajo</WORD>
<WORD coords="1252,3059,1329,2999,3057">de</WORD>
<WORD coords="1394,3072,1676,2998,3052">décimas</WORD>
<WORD coords="1712,3067,1734,3040,3059">,.</WORD>
<WORD coords="1789,3062,2166,2995,3050">centesimas</WORD>
<WORD coords="2224,3070,2446,2994,3046">debajo</WORD>
<WORD coords="2512,3049,2588,2998,3048">de</WORD>
</LINE>
<LINE>
<WORD coords="233,3177,609,3112,3167">centésimas</WORD>
<WORD coords="675,3164,764,3103,3162">&amp;c</WORD>
<WORD coords="800,3176,817,3150,3168">,</WORD>
<WORD coords="875,3161,938,3125,3161">es</WORD>
<WORD coords="986,3165,1168,3104,3160">.decir</WORD>
<WORD coords="1204,3174,1221,3149,3174">,</WORD>
<WORD coords="1293,3178,1413,3123,3158">qu,e</WORD>
<WORD coords="1474,3157,1557,3104,3157">las</WORD>
<WORD coords="1616,3162,1823,3122,3158">comas</WORD>
<WORD coords="1880,3171,2122,3099,3154">#,rmen</WORD>
<WORD coords="2176,3153,2456,3098,3151">columna</WORD>
<WORD coords="2518,3155,2593,3119,3154">en</WORD>
</LINE>
<LINE>
<WORD coords="233,3276,287,3230,3273">tf</WORD>
<WORD coords="307,3272,422,3218,3271">dos</WORD>
<WORD coords="468,3270,565,3218,3269">los</WORD>
<WORD coords="631,3269,985,3212,3267">sumandos.</WORD>
<WORD coords="1087,3281,1369,3210,3265">Después</WORD>
<WORD coords="1428,3282,1816,3206,3263">empezando</WORD>
<WORD coords="1871,3279,1977,3223,3260">por</WORD>
<WORD coords="2034,3261,2297,3200,3257">derecha</WORD>
<WORD coords="2335,3269,2350,3244,3266">,</WORD>
<WORD coords="2383,3257,2443,3223,3256">se</WORD>
<WORD coords="2493,3260,2590,3223,3258">su-</WORD>
</LINE>
<LINE>
<WORD coords="234,3382,375,3343,3379">man</WORD>
<WORD coords="436,3378,534,3323,3377">del</WORD>
<WORD coords="596,3384,820,3319,3374">mismp</WORD>
<WORD coords="869,3374,1057,3317,3372">modo</WORD>
<WORD coords="1106,3392,1225,3335,3372">que</WORD>
<WORD coords="1279,3371,1369,3318,3370">los</WORD>
<WORD coords="1442,3370,1686,3327,3368">enteros</WORD>
<WORD coords="1723,3383,1743,3357,3376">,</WORD>
<WORD coords="1793,3369,2103,3309,3365">cuidando</WORD>
<WORD coords="2162,3364,2239,3308,3362">de</WORD>
<WORD coords="2294,3382,2479,3326,3361">poner</WORD>
<WORD coords="2538,3364,2590,3310,3362">ia</WORD>
</LINE>
<LINE>
<WORD coords="220,3494,409,3448,3487">loma</WORD>
<WORD coords="455,3485,526,3449,3483">en</WORD>
<WORD coords="582,3480,636,3428,3480">la</WORD>
<WORD coords="695,3483,871,3444,3480">suma</WORD>
<WORD coords="916,3498,1138,3422,3478">debajo</WORD>
<WORD coords="1194,3477,1270,3420,3476">de</WORD>
<WORD coords="1318,3478,1369,3423,3477">la</WORD>
<WORD coords="1416,3482,1591,3436,3478">coma</WORD>
<WORD coords="1635,3499,1713,3417,3487">#%</WORD>
<WORD coords="1759,3473,1848,3417,3472">los</WORD>
<WORD coords="1893,3474,2251,3413,3469">sumandos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="479,3610,774,3531,3588">Ejemplo.</WORD>
<WORD coords="877,3589,1136,3531,3585">Súmese</WORD>
<WORD coords="1199,3585,1232,3536,3585">8</WORD>
<WORD coords="1268,3600,1285,3572,3591">,</WORD>
<WORD coords="1335,3583,1410,3534,3582">32</WORD>
<WORD coords="1471,3580,1582,3545,3579">con</WORD>
<WORD coords="1636,3590,1712,3533,3578">O,</WORD>
<WORD coords="1765,3586,1880,3527,3579">$82</WORD>
<WORD coords="1892,3597,1921,3563,3597">r</WORD>
<WORD coords="2245,3589,2508,3524,3578">8,32</WORD>
</LINE>
<LINE>
<WORD coords="229,3700,348,3662,3698">con</WORD>
<WORD coords="403,3698,472,3649,3697">15</WORD>
<WORD coords="510,3709,525,3686,3702">,</WORD>
<WORD coords="576,3696,719,3643,3695">097.</WORD>
<WORD coords="816,3711,1141,3637,3690">Dispongo</WORD>
<WORD coords="1189,3709,1227,3655,3699">y</WORD>
<WORD coords="1271,3689,1450,3651,3688">sumo</WORD>
<WORD coords="1498,3686,1585,3633,3685">las</WORD>
<WORD coords="1635,3703,1906,3628,3683">partidas</WORD>
<WORD coords="2237,3690,2584,3629,3680">0,683</WORD>
</LINE>
<LINE>
<WORD coords="229,3809,329,3749,3804">del</WORD>
<WORD coords="387,3802,606,3748,3800">mismo</WORD>
<WORD coords="664,3801,849,3742,3798">modo</WORD>
<WORD coords="891,3816,1009,3762,3798">que</WORD>
<WORD coords="1065,3796,1116,3743,3796">si</WORD>
<WORD coords="1162,3796,1381,3738,3793">fueran</WORD>
<WORD coords="1440,3803,1734,3747,3789">enteros,</WORD>
<WORD coords="1792,3788,1897,3736,3787">He-</WORD>
<WORD coords="2164,3793,2581,3732,3783">15,09?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="215,3908,432,3853,3906">ovando</WORD>
<WORD coords="491,3925,757,3851,3906">siempre</WORD>
<WORD coords="797,3903,884,3849,3902">las</WORD>
<WORD coords="932,3902,1193,3850,3901">decenas</WORD>
<WORD coords="1244,3920,1361,3863,3900">que</WORD>
<WORD coords="1409,3902,1685,3843,3895">resulten</WORD>
<WORD coords="1744,3893,1818,3839,3893">de</WORD>
<WORD coords="1859,3894,1914,3838,3892">la</WORD>
<WORD coords="2188,3878,2244,3860,3878">—</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="228,4016,406,3974,4015">suma</WORD>
<WORD coords="453,4016,527,3959,4015">de</WORD>
<WORD coords="588,4017,708,3975,4014">una</WORD>
<WORD coords="752,4011,1034,3957,4009">columna</WORD>
<WORD coords="1064,4024,1082,3996,4024">,</WORD>
<WORD coords="1120,4027,1270,3968,4006">¡raía</WORD>
<WORD coords="1317,4007,1626,3945,4003">añadirlas</WORD>
<WORD coords="1661,4003,1690,3965,4003">a</WORD>
<WORD coords="1727,4002,1781,3945,4001">ia</WORD>
<WORD coords="1808,4001,1909,3962,4000">co-</WORD>
<WORD coords="2162,4001,2195,3949,4003">2</WORD>
<WORD coords="2242,3994,2280,3950,3999">4</WORD>
<WORD coords="2324,4010,2342,3979,4010">9</WORD>
<WORD coords="2392,3989,2409,3946,3989">i</WORD>
<WORD coords="2462,3988,2498,3948,3988">o</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0097.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0098.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0098.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1794,518,1938,420,517">88</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="676,643,889,584,642">lumna</WORD>
<WORD coords="926,661,1231,582,639">siguiente</WORD>
<WORD coords="1266,637,1294,582,637">¿</WORD>
<WORD coords="1331,655,1660,578,636">izquierda</WORD>
<WORD coords="1684,645,1700,622,645">,</WORD>
<WORD coords="1726,656,1804,598,635">ya</WORD>
<WORD coords="1831,636,1932,599,635">sea</WORD>
<WORD coords="1964,637,2248,579,635">columna</WORD>
<WORD coords="2278,637,2355,579,636">de</WORD>
<WORD coords="2393,637,2724,577,636">decimales</WORD>
<WORD coords="2758,636,2792,602,636">o</WORD>
<WORD coords="2828,640,2905,579,639">de</WORD>
<WORD coords="2935,640,3045,593,640">en»</WORD>
</LINE>
<LINE>
<WORD coords="674,750,863,702,747">teros.</WORD>
<WORD coords="913,746,1005,688,746">La</WORD>
<WORD coords="1038,746,1213,708,745">suma</WORD>
<WORD coords="1250,746,1524,686,743">buscada</WORD>
<WORD coords="1554,762,1698,685,743">aqui</WORD>
<WORD coords="1731,744,1797,705,742">es</WORD>
<WORD coords="1824,743,1906,689,743">24</WORD>
<WORD coords="1936,757,1953,729,750">,</WORD>
<WORD coords="1988,744,2105,692,743">100</WORD>
<WORD coords="2137,760,2153,731,752">,</WORD>
<WORD coords="2190,742,2370,705,742">como</WORD>
<WORD coords="2418,741,2480,705,740">se</WORD>
<WORD coords="2517,741,2587,705,740">ve</WORD>
<WORD coords="2616,743,2645,692,743">á</WORD>
<WORD coords="2679,742,2734,684,741">la</WORD>
<WORD coords="2767,764,3045,705,744">margen*</WORD>
</LINE>
<LINE>
<WORD coords="1015,852,1503,795,850">Demostración.</WORD>
<WORD coords="1599,850,1807,793,850">Como</WORD>
<WORD coords="1879,869,2022,794,850">aqui</WORD>
<WORD coords="2103,850,2324,792,849">hemos</WORD>
<WORD coords="2387,849,2653,792,848">sumado</WORD>
<WORD coords="2718,853,2898,794,850">todas</WORD>
<WORD coords="2951,855,3050,797,854">la»</WORD>
</LINE>
<LINE>
<WORD coords="678,964,984,902,958">unidades</WORD>
<WORD coords="1033,959,1111,902,958">de</WORD>
<WORD coords="1157,958,1276,919,956">una</WORD>
<WORD coords="1329,957,1554,901,956">misma</WORD>
<WORD coords="1608,973,1849,899,955">especie</WORD>
<WORD coords="1880,962,1899,938,962">,</WORD>
<WORD coords="1935,976,1974,919,966">y</WORD>
<WORD coords="2029,955,2118,900,955">las</WORD>
<WORD coords="2165,956,2377,918,955">sumas</WORD>
<WORD coords="2434,972,2734,896,953">parciales</WORD>
<WORD coords="2782,960,2871,904,959">las</WORD>
<WORD coords="2921,965,3031,904,963">he-</WORD>
</LINE>
<LINE>
<WORD coords="679,1071,816,1030,1068">mos</WORD>
<WORD coords="861,1068,1125,1008,1065">reunido</WORD>
<WORD coords="1168,1065,1246,1026,1064">en</WORD>
<WORD coords="1287,1065,1408,1024,1063">una</WORD>
<WORD coords="1452,1064,1579,1005,1062">sola</WORD>
<WORD coords="1608,1079,1626,1051,1071">,</WORD>
<WORD coords="1673,1062,1902,1008,1061">resulta</WORD>
<WORD coords="1953,1081,2073,1024,1062">que</WORD>
<WORD coords="2118,1062,2250,1015,1060">et»ta</WORD>
<WORD coords="2301,1062,2372,1022,1062">es</WORD>
<WORD coords="2423,1063,2481,1004,1062">la</WORD>
<WORD coords="2535,1064,2713,1023,1063">suma</WORD>
<WORD coords="2766,1074,2956,1010,1067">total.</WORD>
</LINE>
<LINE>
<WORD coords="1552,1194,1784,1135,1192">Restar</WORD>
<WORD coords="1828,1193,2167,1134,1191">decimales»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="768,1336,907,1283,1334">143.</WORD>
<WORD coords="977,1334,1306,1273,1332">Problema</WORD>
<WORD coords="1346,1350,1386,1292,1339">y</WORD>
<WORD coords="1413,1328,1785,1270,1326">resolución.</WORD>
<WORD coords="1877,1327,2046,1269,1325">Para</WORD>
<WORD coords="2109,1326,2314,1276,1324">restar</WORD>
<WORD coords="2368,1325,2682,1267,1324">decimales</WORD>
<WORD coords="2719,1341,2738,1310,1334">,</WORD>
<WORD coords="2781,1327,2848,1289,1327">se</WORD>
<WORD coords="2894,1347,3047,1291,1329">ope»</WORD>
</LINE>
<LINE>
<WORD coords="676,1443,744,1403,1442">ra</WORD>
<WORD coords="796,1442,900,1383,1441">del</WORD>
<WORD coords="959,1439,1183,1383,1438">mismo</WORD>
<WORD coords="1235,1439,1423,1383,1437">modo</WORD>
<WORD coords="1475,1455,1593,1397,1437">que</WORD>
<WORD coords="1641,1434,1717,1397,1433">en</WORD>
<WORD coords="1764,1433,1853,1380,1432">los</WORD>
<WORD coords="1908,1433,2154,1387,1431">enteros</WORD>
<WORD coords="2182,1446,2199,1420,1440">,</WORD>
<WORD coords="2263,1431,2603,1374,1430">colocando</WORD>
<WORD coords="2661,1433,2716,1376,1432">la</WORD>
<WORD coords="2768,1433,2947,1394,1432">coma</WORD>
<WORD coords="2995,1456,3043,1398,1456">y</WORD>
</LINE>
<LINE>
<WORD coords="676,1547,895,1490,1545">demás</WORD>
<WORD coords="942,1547,1247,1487,1544">unidades</WORD>
<WORD coords="1300,1544,1401,1487,1543">del</WORD>
<WORD coords="1449,1545,1817,1483,1541">sustraendo</WORD>
<WORD coords="1872,1562,2091,1484,1540">debajo</WORD>
<WORD coords="2151,1540,2227,1484,1539">de</WORD>
<WORD coords="2299,1538,2355,1484,1537">la</WORD>
<WORD coords="2407,1538,2585,1498,1536">coma</WORD>
<WORD coords="2638,1559,2679,1502,1549">y</WORD>
<WORD coords="2753,1538,2838,1484,1537">las</WORD>
<WORD coords="2900,1541,3039,1482,1539">uni-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="762,1654,873,1598,1653">des</WORD>
<WORD coords="918,1654,995,1597,1653">de</WORD>
<WORD coords="1056,1651,1111,1597,1650">la</WORD>
<WORD coords="1168,1649,1392,1593,1648">misma</WORD>
<WORD coords="1447,1661,1690,1591,1647">especie</WORD>
<WORD coords="1740,1647,1840,1590,1646">del</WORD>
<WORD coords="1889,1648,2246,1591,1646">minuendo.</WORD>
<WORD coords="2335,1645,2400,1587,1644">Si</WORD>
<WORD coords="2448,1642,2503,1588,1642">el</WORD>
<WORD coords="2543,1650,2882,1590,1647">mintiendo</WORD>
<WORD coords="2916,1647,3040,1591,1646">tie»</WORD>
</LINE>
<LINE>
<WORD coords="672,1763,750,1725,1762">ne</WORD>
<WORD coords="798,1759,1009,1722,1757">menos</WORD>
<WORD coords="1059,1778,1407,1702,1755">guarismos</WORD>
<WORD coords="1454,1757,1789,1698,1754">decimales</WORD>
<WORD coords="1836,1773,1955,1717,1753">que</WORD>
<WORD coords="2002,1755,2058,1699,1753">el</WORD>
<WORD coords="2109,1755,2480,1694,1751">sustraendo</WORD>
<WORD coords="2508,1766,2525,1735,1759">,</WORD>
<WORD coords="2576,1752,2644,1715,1752">se</WORD>
<WORD coords="2692,1753,2746,1698,1753">le</WORD>
<WORD coords="2805,1755,3022,1697,1754">añadi-</WORD>
</LINE>
<LINE>
<WORD coords="675,1873,786,1831,1872">rán</WORD>
<WORD coords="841,1871,917,1814,1870">de</WORD>
<WORD coords="966,1869,1130,1813,1867">facto</WORD>
<WORD coords="1178,1867,1215,1811,1867">ó</WORD>
<WORD coords="1269,1867,1333,1830,1866">se</WORD>
<WORD coords="1381,1866,1438,1810,1865">le</WORD>
<WORD coords="1496,1884,1851,1809,1864">supondrán</WORD>
<WORD coords="1906,1864,2218,1806,1862">añadidos</WORD>
<WORD coords="2255,1862,2354,1807,1861">los</WORD>
<WORD coords="2402,1863,2575,1825,1862">ceros</WORD>
<WORD coords="2624,1879,2743,1826,1863">que</WORD>
<WORD coords="2801,1863,2865,1826,1862">se</WORD>
<WORD coords="2915,1865,3024,1826,1864">ne-</WORD>
</LINE>
<LINE>
<WORD coords="675,1980,907,1921,1977">cesiten</WORD>
<WORD coords="942,1993,960,1964,1984">,</WORD>
<WORD coords="996,1976,1057,1920,1975">io</WORD>
<WORD coords="1109,1992,1229,1936,1975">que</WORD>
<WORD coords="1273,1973,1353,1936,1972">no</WORD>
<WORD coords="1417,1977,1607,1918,1972">altera</WORD>
<WORD coords="1651,1972,1709,1917,1971">el</WORD>
<WORD coords="1757,1988,2092,1915,1971">quebrado.</WORD>
<WORD coords="2186,1974,2445,1915,1972">Cuando</WORD>
<WORD coords="2491,1973,2545,1916,1971">el</WORD>
<WORD coords="2594,1993,2910,1915,1968">guarismo</WORD>
<WORD coords="2960,1971,3042,1912,1970">de</WORD>
</LINE>
<LINE>
<WORD coords="671,2087,762,2031,2085">las</WORD>
<WORD coords="812,2083,1090,2026,2081">décimas</WORD>
<WORD coords="1137,2079,1237,2022,2078">del</WORD>
<WORD coords="1297,2079,1634,2020,2077">minuendo</WORD>
<WORD coords="1678,2080,1788,2039,2077">sea</WORD>
<WORD coords="1828,2077,2041,2038,2076">menor</WORD>
<WORD coords="2089,2096,2207,2039,2077">que</WORD>
<WORD coords="2269,2077,2325,2023,2076">el</WORD>
<WORD coords="2372,2077,2473,2021,2076">del</WORD>
<WORD coords="2530,2078,2897,2019,2075">sustraendo</WORD>
<WORD coords="2918,2090,2935,2063,2077">,</WORD>
<WORD coords="2968,2076,3036,2037,2074">se</WORD>
</LINE>
<LINE>
<WORD coords="671,2194,908,2141,2192">tomará</WORD>
<WORD coords="963,2190,1039,2133,2189">de</WORD>
<WORD coords="1098,2185,1187,2129,2185">las</WORD>
<WORD coords="1246,2187,1494,2139,2184">enteros</WORD>
<WORD coords="1536,2186,1658,2145,2184">una</WORD>
<WORD coords="1711,2185,1945,2126,2183">unidad</WORD>
<WORD coords="1975,2205,2017,2146,2195">y</WORD>
<WORD coords="2062,2184,2128,2146,2183">se</WORD>
<WORD coords="2186,2187,2485,2127,2185">añadirán</WORD>
<WORD coords="2539,2187,2680,2128,2185">diez</WORD>
<WORD coords="2726,2209,3034,2124,2187">unidades</WORD>
</LINE>
<LINE>
<WORD coords="674,2302,731,2242,2300">al</WORD>
<WORD coords="787,2321,1108,2245,2300">guarismo</WORD>
<WORD coords="1171,2295,1249,2239,2295">de</WORD>
<WORD coords="1300,2296,1388,2254,2295">ras</WORD>
<WORD coords="1448,2297,1748,2235,2293">décimas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="924,2426,1218,2348,2404">Ejemplo,</WORD>
<WORD coords="1308,2403,1513,2345,2402">Véase</WORD>
<WORD coords="1567,2401,1624,2345,2399">la</WORD>
<WORD coords="1685,2402,2029,2342,2400">diferencia</WORD>
<WORD coords="2086,2418,2210,2360,2401">que</WORD>
<WORD coords="2522,2414,2871,2342,2400">12,23</WORD>
</LINE>
<LINE>
<WORD coords="671,2535,798,2456,2513">hay</WORD>
<WORD coords="845,2513,1017,2465,2510">entre</WORD>
<WORD coords="1075,2513,1148,2461,2512">12</WORD>
<WORD coords="1178,2523,1193,2498,2517">,</WORD>
<WORD coords="1225,2511,1302,2459,2510">23</WORD>
<WORD coords="1346,2530,1385,2472,2519">y</WORD>
<WORD coords="1432,2509,1466,2459,2509">8</WORD>
<WORD coords="1502,2524,1519,2497,2517">,</WORD>
<WORD coords="1572,2510,1752,2457,2509">7457.</WORD>
<WORD coords="1807,2526,2206,2449,2506">Despuesde</WORD>
<WORD coords="2604,2517,2710,2452,2508">«,</WORD>
<WORD coords="2757,2501,2791,2448,2504">7</WORD>
<WORD coords="2832,2500,2874,2448,2504">4</WORD>
<WORD coords="2916,2499,2952,2450,2503">5</WORD>
<WORD coords="2998,2503,3040,2445,2503">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="671,2622,975,2559,2618">colocado</WORD>
<WORD coords="1007,2617,1063,2560,2616">el</WORD>
<WORD coords="1112,2618,1374,2577,2615">numero</WORD>
<WORD coords="1423,2616,1637,2576,2614">menor</WORD>
<WORD coords="1683,2637,1906,2557,2612">debajo</WORD>
<WORD coords="1951,2611,2051,2556,2610">del</WORD>
<WORD coords="2112,2612,2211,2572,2611">ma</WORD>
<WORD coords="2463,2613,2513,2578,2613">m</WORD>
<WORD coords="2998,2601,3034,2584,2601">-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="664,2749,787,2684,2724">yor</WORD>
<WORD coords="814,2742,830,2713,2734">,</WORD>
<WORD coords="870,2727,1140,2668,2724">observo</WORD>
<WORD coords="1185,2742,1305,2685,2722">que</WORD>
<WORD coords="1351,2722,1407,2666,2721">el</WORD>
<WORD coords="1456,2724,1824,2664,2719">sustraendo</WORD>
<WORD coords="1877,2719,2042,2663,2718">tiene</WORD>
<WORD coords="2101,2717,2214,2661,2716">dos</WORD>
<WORD coords="2611,2718,2644,2670,2719">3</WORD>
<WORD coords="2696,2732,2794,2667,2723">,4</WORD>
<WORD coords="2838,2719,2874,2668,2719">8</WORD>
<WORD coords="2919,2720,2959,2669,2720">4</WORD>
<WORD coords="3005,2721,3039,2670,2721">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="677,2856,1027,2776,2832">guarismos</WORD>
<WORD coords="1084,2832,1215,2792,2830">mas</WORD>
<WORD coords="1264,2848,1382,2791,2827">que</WORD>
<WORD coords="1441,2827,1497,2771,2827">el</WORD>
<WORD coords="1559,2825,1896,2768,2824">minuendo</WORD>
<WORD coords="1918,2841,1943,2791,2827">;</WORD>
<WORD coords="1994,2824,2046,2769,2823">le</WORD>
<WORD coords="2093,2824,2295,2766,2822">añado</WORD>
<WORD coords="2353,2823,2385,2767,2825">á</WORD>
<WORD coords="2438,2823,2565,2775,2822">este</WORD>
<WORD coords="2604,2831,3041,2769,2826">mentalmente</WORD>
</LINE>
<LINE>
<WORD coords="676,2943,793,2884,2941">dos</WORD>
<WORD coords="851,2939,1026,2901,2937">ceros</WORD>
<WORD coords="1052,2953,1067,2924,2953">,</WORD>
<WORD coords="1105,2956,1143,2901,2956">y</WORD>
<WORD coords="1192,2956,1439,2880,2934">ejecuto</WORD>
<WORD coords="1500,2933,1556,2877,2932">la</WORD>
<WORD coords="1612,2931,1884,2874,2929">división</WORD>
<WORD coords="1955,2930,2247,2873,2929">diciendo</WORD>
<WORD coords="2286,2931,2301,2893,2931">:</WORD>
<WORD coords="2373,2929,2451,2872,2929">de</WORD>
<WORD coords="2515,2930,2548,2876,2931">7</WORD>
<WORD coords="2605,2929,2636,2873,2930">á</WORD>
<WORD coords="2695,2932,2770,2883,2931">10</WORD>
<WORD coords="2829,2934,2943,2896,2932">van</WORD>
<WORD coords="3003,2934,3040,2884,2934">3</WORD>
</LINE>
<LINE>
<WORD coords="679,3068,804,3013,3049">que</WORD>
<WORD coords="851,3069,1054,3011,3047">pongo</WORD>
<WORD coords="1102,3068,1325,2989,3045">debajo</WORD>
<WORD coords="1371,3045,1449,2986,3044">de</WORD>
<WORD coords="1503,3043,1561,2988,3042">la</WORD>
<WORD coords="1623,3060,1766,3002,3040">raya</WORD>
<WORD coords="1794,3056,1815,3007,3048">;</WORD>
<WORD coords="1867,3039,1942,2983,3039">de</WORD>
<WORD coords="1999,3038,2032,2990,3039">5</WORD>
<WORD coords="2087,3039,2116,2985,3040">á</WORD>
<WORD coords="2172,3036,2208,2985,3038">9</WORD>
<WORD coords="2239,3053,2255,3025,3047">,</WORD>
<WORD coords="2315,3037,2427,3001,3036">van</WORD>
<WORD coords="2474,3038,2514,2987,3046">4</WORD>
<WORD coords="2538,3054,2560,3006,3041">;</WORD>
<WORD coords="2616,3036,2672,2981,3036">el</WORD>
<WORD coords="2739,3035,2775,2987,3038">3</WORD>
<WORD coords="2832,3057,3044,2984,3040">quedó</WORD>
</LINE>
<LINE>
<WORD coords="681,3157,759,3119,3156">en</WORD>
<WORD coords="813,3155,848,3107,3154">2</WORD>
<WORD coords="902,3154,932,3101,3154">á</WORD>
<WORD coords="992,3173,1178,3096,3151">quien</WORD>
<WORD coords="1254,3151,1456,3093,3149">añado</WORD>
<WORD coords="1508,3149,1585,3098,3148">10</WORD>
<WORD coords="1619,3160,1634,3136,3160">,</WORD>
<WORD coords="1682,3167,1721,3111,3166">y</WORD>
<WORD coords="1780,3166,1927,3091,3145">digo</WORD>
<WORD coords="1961,3146,1975,3111,3146">:</WORD>
<WORD coords="2027,3145,2107,3089,3145">de</WORD>
<WORD coords="2159,3145,2200,3095,3146">4</WORD>
<WORD coords="2255,3143,2284,3090,3145">á</WORD>
<WORD coords="2347,3143,2417,3094,3144">12</WORD>
<WORD coords="2487,3142,2604,3105,3141">van</WORD>
<WORD coords="2669,3140,2701,3092,3143">8</WORD>
<WORD coords="2730,3161,2752,3111,3154">¿</WORD>
<WORD coords="2809,3145,2885,3088,3144">de</WORD>
<WORD coords="2934,3147,2970,3094,3147">7</WORD>
<WORD coords="3004,3150,3049,3092,3150">4</WORD>
</LINE>
<LINE>
<WORD coords="683,3262,712,3212,3262">1</WORD>
<WORD coords="747,3276,764,3248,3268">,</WORD>
<WORD coords="820,3260,896,3223,3259">no</WORD>
<WORD coords="956,3278,1156,3202,3258">puede</WORD>
<WORD coords="1217,3257,1314,3218,3256">ser</WORD>
<WORD coords="1348,3256,1363,3222,3255">:</WORD>
<WORD coords="1430,3255,1528,3217,3254">me</WORD>
<WORD coords="1592,3270,1798,3208,3252">presto</WORD>
<WORD coords="1850,3250,1966,3214,3249">una</WORD>
<WORD coords="2028,3251,2261,3194,3249">unidad</WORD>
<WORD coords="2308,3249,2406,3193,3247">del</WORD>
<WORD coords="2465,3248,2676,3205,3246">entero</WORD>
<WORD coords="2719,3248,2756,3200,3250">2</WORD>
<WORD coords="2812,3270,2853,3211,3262">y</WORD>
<WORD coords="2898,3254,3044,3206,3252">aña-</WORD>
</LINE>
<LINE>
<WORD coords="681,3368,768,3311,3367">do</WORD>
<WORD coords="816,3366,961,3309,3365">diez</WORD>
<WORD coords="1011,3364,1066,3308,3364">al</WORD>
<WORD coords="1105,3365,1130,3318,3365">1</WORD>
<WORD coords="1194,3382,1232,3326,3382">y</WORD>
<WORD coords="1281,3384,1429,3306,3361">digo</WORD>
<WORD coords="1462,3364,1479,3328,3362">;</WORD>
<WORD coords="1513,3360,1589,3304,3359">de</WORD>
<WORD coords="1647,3360,1681,3305,3359">7</WORD>
<WORD coords="1726,3358,1754,3304,3358">á</WORD>
<WORD coords="1813,3357,1879,3309,3357">11</WORD>
<WORD coords="1945,3355,2061,3319,3354">van</WORD>
<WORD coords="2106,3363,2186,3307,3360">4,</WORD>
<WORD coords="2224,3376,2263,3319,3374">y</WORD>
<WORD coords="2309,3373,2511,3317,3353">pongo</WORD>
<WORD coords="2555,3352,2606,3298,3351">la</WORD>
<WORD coords="2669,3362,2867,3320,3357">coma.</WORD>
<WORD coords="2971,3364,3050,3304,3362">El</WORD>
</LINE>
<LINE>
<WORD coords="678,3474,892,3430,3472">entero</WORD>
<WORD coords="955,3471,989,3425,3471">2</WORD>
<WORD coords="1037,3471,1200,3418,3469">tiene</WORD>
<WORD coords="1262,3470,1286,3423,3469">1</WORD>
<WORD coords="1342,3469,1553,3429,3466">menos</WORD>
<WORD coords="1586,3482,1604,3453,3482">,</WORD>
<WORD coords="1648,3483,1684,3428,3474">y</WORD>
<WORD coords="1730,3464,1818,3407,3463">asi</WORD>
<WORD coords="1868,3462,1921,3407,3462">le</WORD>
<WORD coords="1984,3484,2210,3426,3461">agrego</WORD>
<WORD coords="2264,3461,2321,3405,3459">la</WORD>
<WORD coords="2381,3465,2609,3405,3460">decena</WORD>
<WORD coords="2649,3477,2955,3407,3459">anterior,</WORD>
<WORD coords="2988,3469,3000,3449,3476">,</WORD>
<WORD coords="3004,3484,3048,3426,0">y</WORD>
</LINE>
<LINE>
<WORD coords="684,3600,885,3524,3578">digo;</WORD>
<WORD coords="935,3577,1010,3522,3577">de</WORD>
<WORD coords="1057,3578,1093,3529,3577">8</WORD>
<WORD coords="1155,3577,1182,3523,3577">á</WORD>
<WORD coords="1246,3577,1311,3527,3576">11</WORD>
<WORD coords="1370,3575,1485,3534,3574">van</WORD>
<WORD coords="1542,3587,1628,3523,3577">3,</WORD>
<WORD coords="1693,3573,1807,3534,3571">con</WORD>
<WORD coords="1855,3571,1912,3513,3570">lo</WORD>
<WORD coords="1970,3588,2088,3531,3569">que</WORD>
<WORD coords="2144,3587,2448,3512,3567">concluyo</WORD>
<WORD coords="2498,3569,2555,3512,3568">la</WORD>
<WORD coords="2621,3588,2948,3513,3569">operación</WORD>
<WORD coords="3001,3594,3048,3534,3594">y</WORD>
</LINE>
<LINE>
<WORD coords="680,3686,827,3648,3684">saco</WORD>
<WORD coords="888,3682,964,3629,3681">de</WORD>
<WORD coords="1016,3681,1354,3624,3679">diferencia</WORD>
<WORD coords="1403,3681,1438,3631,3681">3</WORD>
<WORD coords="1474,3698,1488,3668,3689">,</WORD>
<WORD coords="1518,3680,1701,3629,3678">4843.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="932,3793,1427,3732,3787">Demostración*</WORD>
<WORD coords="1510,3801,1860,3730,3785">Operamos</WORD>
<WORD coords="1920,3784,2021,3726,3783">del</WORD>
<WORD coords="2077,3783,2300,3723,3781">mismo</WORD>
<WORD coords="2374,3782,2563,3722,3780">modo</WORD>
<WORD coords="2641,3803,2762,3748,3787">que</WORD>
<WORD coords="2812,3786,2888,3748,3786">en</WORD>
<WORD coords="2950,3792,3048,3730,3788">loa</WORD>
</LINE>
<LINE>
<WORD coords="683,3900,931,3852,3897">enteros</WORD>
<WORD coords="966,3909,981,3884,3909">,</WORD>
<WORD coords="1058,3913,1291,3857,3892">porque</WORD>
<WORD coords="1352,3895,1445,3839,3894">los</WORD>
<WORD coords="1503,3895,1842,3838,3893">decimales</WORD>
<WORD coords="1910,3913,2128,3852,3891">siguen</WORD>
<WORD coords="2204,3892,2265,3831,3891">la</WORD>
<WORD coords="2328,3892,2548,3832,3890">misma</WORD>
<WORD coords="2617,3915,2716,3837,3893">ley</WORD>
<WORD coords="2758,3913,2880,3856,3895">&lt;^ue</WORD>
<WORD coords="2962,3900,3034,3841,3899">&amp;\</WORD>
</LINE>
<LINE>
<WORD coords="679,4014,937,3958,4011">aisteaia</WORD>
<WORD coords="995,4007,1072,3951,4006">de</WORD>
<WORD coords="1125,4023,1427,3949,4005">aquellos»</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0098.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0099.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0099.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1366,542,1508,450,542">89</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1036,704,1428,623,683">Multiplicar</WORD>
<WORD coords="1488,687,1826,626,682">decimales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="334,825,475,767,822">144*</WORD>
<WORD coords="565,821,890,760,818">Problema</WORD>
<WORD coords="944,838,988,778,828">y</WORD>
<WORD coords="1038,818,1416,746,814">resolución.</WORD>
<WORD coords="1509,816,1677,760,815">Para</WORD>
<WORD coords="1727,837,2096,758,814">multiplicar</WORD>
<WORD coords="2152,818,2467,761,816">decimales</WORD>
<WORD coords="2498,835,2516,807,830">,</WORD>
<WORD coords="2546,826,2613,783,822">se</WORD>
</LINE>
<LINE>
<WORD coords="253,945,641,867,925">Multiplican</WORD>
<WORD coords="686,925,865,887,923">como</WORD>
<WORD coords="923,922,976,866,922">si</WORD>
<WORD coords="1020,923,1240,861,920">fuesen</WORD>
<WORD coords="1292,923,1543,875,920">enteros</WORD>
<WORD coords="1591,921,1685,866,920">sin</WORD>
<WORD coords="1736,922,1919,865,921">hacer</WORD>
<WORD coords="1978,922,2120,886,922">caso</WORD>
<WORD coords="2166,922,2243,867,921">de</WORD>
<WORD coords="2309,922,2361,869,921">la</WORD>
<WORD coords="2410,942,2615,889,925">coma;</WORD>
</LINE>
<LINE>
<WORD coords="248,1052,402,991,1032">pero</WORD>
<WORD coords="455,1031,531,992,1030">en</WORD>
<WORD coords="590,1031,647,973,1030">el</WORD>
<WORD coords="695,1049,998,972,1029">producto</WORD>
<WORD coords="1045,1027,1108,989,1027">se</WORD>
<WORD coords="1164,1045,1424,988,1026">separan</WORD>
<WORD coords="1468,1027,1585,988,1026">con</WORD>
<WORD coords="1630,1027,1687,971,1026">la</WORD>
<WORD coords="1733,1028,1911,984,1027">Coma</WORD>
<WORD coords="1965,1030,2095,972,1028">ácia</WORD>
<WORD coords="2165,1033,2431,973,1030">derecha</WORD>
<WORD coords="2478,1034,2611,990,1032">tan-</WORD>
</LINE>
<LINE>
<WORD coords="245,1139,347,1091,1137">tos</WORD>
<WORD coords="405,1158,757,1078,1136">guarismos</WORD>
<WORD coords="788,1150,807,1122,1143">,</WORD>
<WORD coords="839,1136,1095,1086,1133">cuantos</WORD>
<WORD coords="1139,1155,1492,1075,1132">guarismos</WORD>
<WORD coords="1551,1133,1883,1077,1132">decimales</WORD>
<WORD coords="1927,1154,2051,1076,1133">hay</WORD>
<WORD coords="2096,1135,2171,1097,1135">en</WORD>
<WORD coords="2225,1139,2440,1083,1137">ambos</WORD>
<WORD coords="2481,1141,2610,1080,1139">fac-</WORD>
</LINE>
<LINE>
<WORD coords="244,1246,413,1199,1245">tores</WORD>
<WORD coords="461,1267,679,1191,1245">juntos</WORD>
<WORD coords="703,1246,718,1208,1244">:</WORD>
<WORD coords="764,1244,902,1186,1243">sino</WORD>
<WORD coords="957,1262,1077,1184,1243">hay</WORD>
<WORD coords="1117,1245,1435,1184,1241">bastantes</WORD>
<WORD coords="1464,1257,1485,1227,1250">,</WORD>
<WORD coords="1527,1241,1595,1201,1240">se</WORD>
<WORD coords="1652,1242,1895,1182,1240">añaden</WORD>
<WORD coords="1952,1242,1985,1186,1243">á</WORD>
<WORD coords="2032,1243,2086,1186,1242">la</WORD>
<WORD coords="2141,1263,2462,1184,1244">izquierda</WORD>
<WORD coords="2521,1249,2615,1190,1246">loa</WORD>
</LINE>
<LINE>
<WORD coords="248,1373,370,1313,1354">que</WORD>
<WORD coords="419,1354,484,1315,1353">se</WORD>
<WORD coords="528,1352,865,1295,1351">necesiten.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="502,1480,798,1399,1457">Ejemplo.</WORD>
<WORD coords="871,1482,1048,1399,1459">(A).</WORD>
<WORD coords="1128,1476,1615,1396,1455">Multipliqúese</WORD>
<WORD coords="2116,1468,2303,1403,1458">0,2</WORD>
<WORD coords="2382,1457,2416,1405,1457">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="246,1563,291,1512,1563">O</WORD>
<WORD coords="322,1578,338,1552,1571">,</WORD>
<WORD coords="368,1564,444,1512,1563">23</WORD>
<WORD coords="480,1583,587,1521,1560">por</WORD>
<WORD coords="632,1561,676,1512,1561">O</WORD>
<WORD coords="699,1585,716,1544,1575">j</WORD>
<WORD coords="746,1566,803,1515,1565">3.</WORD>
<WORD coords="891,1565,1128,1507,1563">Coloco</WORD>
<WORD coords="1158,1564,1210,1507,1562">el</WORD>
<WORD coords="1257,1563,1454,1503,1561">factor</WORD>
<WORD coords="1485,1580,1606,1525,1563">que</WORD>
<WORD coords="1775,1585,1911,1503,1561">(A)</WORD>
<WORD coords="2234,1560,2279,1511,1560">O</WORD>
<WORD coords="2307,1581,2328,1547,1581">,</WORD>
<WORD coords="2364,1582,2417,1510,1571">3]</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="240,1674,415,1615,1672">tiene</WORD>
<WORD coords="488,1675,702,1633,1671">menos</WORD>
<WORD coords="764,1695,1113,1615,1671">guarismos</WORD>
<WORD coords="1197,1692,1421,1612,1669">debajo</WORD>
<WORD coords="1503,1670,1607,1612,1669">del</WORD>
<WORD coords="2419,1658,2437,1642,1665">■</WORD>
<WORD coords="2586,1665,2612,1638,1665">»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="248,1798,467,1740,1778">mayor</WORD>
<WORD coords="494,1780,510,1743,1779">:</WORD>
<WORD coords="566,1778,662,1720,1777">los</WORD>
<WORD coords="708,1798,1053,1723,1779">multiplico</WORD>
<WORD coords="1128,1778,1158,1725,1778">á</WORD>
<WORD coords="1219,1778,1467,1738,1776">manera</WORD>
<WORD coords="1524,1778,1606,1720,1777">de</WORD>
<WORD coords="2023,1774,2069,1725,1776">Ü</WORD>
<WORD coords="2112,1792,2132,1760,1785">,</WORD>
<WORD coords="2195,1774,2239,1724,1774">O</WORD>
<WORD coords="2279,1774,2318,1721,1776">6</WORD>
<WORD coords="2363,1774,2402,1719,1774">9</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="242,1890,490,1842,1887">enteros</WORD>
<WORD coords="530,1905,546,1875,1905">,</WORD>
<WORD coords="594,1908,637,1847,1898">y</WORD>
<WORD coords="708,1888,811,1830,1887">del</WORD>
<WORD coords="884,1906,1186,1828,1885">producto</WORD>
<WORD coords="1228,1886,1311,1830,1885">69</WORD>
<WORD coords="1373,1902,1598,1845,1884">separo</WORD>
</LINE>
<LINE>
<WORD coords="245,1996,361,1957,1995">con</WORD>
<WORD coords="402,1996,459,1940,1995">la</WORD>
<WORD coords="500,1995,680,1956,1994">coma</WORD>
<WORD coords="732,1999,859,1951,1996">tres</WORD>
<WORD coords="922,2016,1270,1936,1992">guarismos</WORD>
<WORD coords="1320,1990,1351,1937,1991">á</WORD>
<WORD coords="1385,1991,1440,1936,1991">la</WORD>
<WORD coords="1495,1993,1598,1933,1992">de-</WORD>
</LINE>
<LINE>
<WORD coords="245,2108,435,2049,2107">recha</WORD>
<WORD coords="486,2119,812,2044,2101">supliendo</WORD>
<WORD coords="843,2103,954,2064,2102">con</WORD>
<WORD coords="997,2102,1039,2053,2102">O</WORD>
<WORD coords="1068,2101,1125,2047,2100">el</WORD>
<WORD coords="1162,2100,1282,2059,2097">uno</WORD>
<WORD coords="1329,2119,1446,2061,2097">que</WORD>
<WORD coords="1478,2098,1592,2038,2097">fal-</WORD>
<WORD coords="1704,2124,1827,2038,2100">(B)</WORD>
<WORD coords="2003,2099,2041,2043,2100">3</WORD>
<WORD coords="2084,2099,2127,2043,2100">4</WORD>
<WORD coords="2172,2113,2192,2083,2113">9</WORD>
<WORD coords="2238,2098,2274,2049,2099">8</WORD>
<WORD coords="2320,2102,2363,2042,2102">f</WORD>
</LINE>
<LINE>
<WORD coords="246,2214,308,2166,2213">ta</WORD>
<WORD coords="343,2227,361,2198,2227">,</WORD>
<WORD coords="407,2231,648,2173,2211">porque</WORD>
<WORD coords="678,2210,753,2171,2209">en</WORD>
<WORD coords="807,2210,1020,2153,2208">ambos</WORD>
<WORD coords="1064,2209,1331,2149,2207">factores</WORD>
<WORD coords="1381,2227,1594,2151,2207">juntos</WORD>
<WORD coords="2091,2222,2360,2155,2210">2,5$</WORD>
</LINE>
<LINE>
<WORD coords="245,2337,371,2260,2319">hay</WORD>
<WORD coords="410,2319,537,2273,2317">tres</WORD>
<WORD coords="581,2337,929,2260,2314">guarismos</WORD>
<WORD coords="975,2316,1309,2257,2314">decimales</WORD>
<WORD coords="1343,2322,1361,2296,2322">,</WORD>
<WORD coords="1394,2335,1430,2278,2326">y</WORD>
<WORD coords="1464,2317,1596,2269,2316">ten*</WORD>
<WORD coords="1857,2309,1865,2292,2309">„</WORD>
<WORD coords="1883,2309,1899,2291,2311">,</WORD>
<WORD coords="1925,2309,1959,2293,2309">,„</WORD>
<WORD coords="2014,2309,2020,2291,2311">■</WORD>
<WORD coords="2112,2306,2180,2290,2305">—</WORD>
<WORD coords="2180,2305,2222,2289,2304">-</WORD>
<WORD coords="2222,2304,2252,2290,2313">&gt;</WORD>
<WORD coords="2295,2308,2299,2289,2310">■</WORD>
<WORD coords="2342,2307,2345,2286,2310">■</WORD>
<WORD coords="2542,2312,2597,2282,2312">—</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="247,2444,331,2384,2420">go</WORD>
<WORD coords="373,2422,438,2365,2422">el</WORD>
<WORD coords="496,2441,799,2364,2421">producto</WORD>
<WORD coords="921,2434,939,2406,2426">,</WORD>
<WORD coords="982,2421,1129,2367,2420">069.</WORD>
<WORD coords="1995,2425,2035,2373,2424">2</WORD>
<WORD coords="2188,2422,2227,2367,2422">9</WORD>
<WORD coords="2270,2423,2308,2373,2422">2</WORD>
<WORD coords="2353,2422,2393,2372,2422">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="497,2528,594,2470,2527">En</WORD>
<WORD coords="646,2528,704,2471,2527">el</WORD>
<WORD coords="756,2548,1002,2469,2525">ejemplo</WORD>
<WORD coords="1062,2553,1182,2469,2528">(B)</WORD>
<WORD coords="1233,2549,1452,2489,2528">separo</WORD>
<WORD coords="1497,2531,1603,2470,2530">del</WORD>
<WORD coords="1913,2531,1943,2478,2531">1</WORD>
<WORD coords="1996,2531,2031,2477,2531">7</WORD>
<WORD coords="2096,2531,2142,2476,2529">4</WORD>
<WORD coords="2187,2527,2221,2476,2527">3</WORD>
<WORD coords="2266,2528,2306,2476,2528">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="249,2651,557,2575,2632">producto</WORD>
<WORD coords="612,2636,825,2587,2634">cuatro</WORD>
<WORD coords="856,2656,1206,2577,2633">guarismos</WORD>
<WORD coords="1240,2635,1370,2578,2634">ácia</WORD>
<WORD coords="1401,2634,1457,2579,2633">la</WORD>
<WORD coords="1490,2635,1596,2579,2635">de*</WORD>
<WORD coords="1914,2636,1955,2582,2635">6</WORD>
<WORD coords="1993,2635,2033,2581,2635">9</WORD>
<WORD coords="2106,2636,2142,2581,2635">7</WORD>
<WORD coords="2184,2638,2227,2584,2638">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="237,2740,424,2681,2739">fecha</WORD>
<WORD coords="457,2754,476,2726,2754">,</WORD>
<WORD coords="521,2759,754,2702,2740">porque</WORD>
<WORD coords="798,2740,875,2702,2740">en</WORD>
<WORD coords="931,2741,989,2684,2740">el</WORD>
<WORD coords="1046,2757,1515,2684,2740">multiplicando</WORD>
<WORD coords="1546,2762,1589,2703,2751">y</WORD>
<WORD coords="1838,2735,1861,2717,2737">■■</WORD>
<WORD coords="1895,2736,1903,2718,2736">■</WORD>
<WORD coords="1956,2732,1990,2717,2738">-</WORD>
<WORD coords="2045,2733,2052,2718,2734">■</WORD>
<WORD coords="2184,2732,2324,2717,2739">—</WORD>
<WORD coords="2342,2734,2359,2713,2737">■</WORD>
<WORD coords="2382,2736,2385,2715,2738">■</WORD>
<WORD coords="2402,2738,2409,2717,2739">■</WORD>
<WORD coords="2455,2737,2470,2715,2739">■</WORD>
<WORD coords="2542,2752,2586,2707,2752">m</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="240,2862,711,2787,2844">multiplicador</WORD>
<WORD coords="765,2865,885,2788,2846">hay</WORD>
<WORD coords="940,2865,1052,2807,2845">por</WORD>
<WORD coords="1121,2869,1303,2789,2846">junto</WORD>
<WORD coords="1376,2848,1590,2800,2846">cuatro</WORD>
<WORD coords="1900,2850,1940,2799,2850">6</WORD>
<WORD coords="1985,2864,2139,2796,2853">9,2</WORD>
<WORD coords="2181,2850,2222,2796,2850">6</WORD>
<WORD coords="2268,2852,2305,2797,2851">7</WORD>
<WORD coords="2346,2851,2384,2801,2851">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="236,2972,588,2894,2950">guarismos</WORD>
<WORD coords="641,2960,1002,2895,2951">decimales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,3036,978,2978,3034">Demostración.</WORD>
<WORD coords="1064,3056,1376,2979,3037">Suprimir</WORD>
<WORD coords="1417,3038,1459,2980,3037">ó</WORD>
<WORD coords="1509,3037,1587,2996,3036">no</WORD>
<WORD coords="1630,3038,1818,2979,3036">hacer</WORD>
<WORD coords="1859,3037,2002,2996,3036">caso</WORD>
<WORD coords="2044,3039,2122,2980,3038">de</WORD>
<WORD coords="2172,3038,2229,2980,3037">la</WORD>
<WORD coords="2272,3043,2453,2997,3039">coma</WORD>
</LINE>
<LINE>
<WORD coords="227,3140,285,3081,3138">el</WORD>
<WORD coords="345,3158,812,3083,3139">multiplicando</WORD>
<WORD coords="849,3142,894,3091,3142">O</WORD>
<WORD coords="924,3157,942,3130,3150">,</WORD>
<WORD coords="997,3143,1074,3091,3142">23</WORD>
<WORD coords="1121,3144,1222,3087,3142">del</WORD>
<WORD coords="1274,3165,1544,3085,3142">ejemplo</WORD>
<WORD coords="1603,3143,1658,3089,3143">A</WORD>
<WORD coords="1688,3159,1706,3130,3150">,</WORD>
<WORD coords="1753,3142,1818,3105,3141">es</WORD>
<WORD coords="1863,3143,2114,3084,3141">haberla</WORD>
<WORD coords="2157,3143,2405,3086,3142">corrido</WORD>
<WORD coords="2464,3145,2581,3084,3144">dos</WORD>
</LINE>
<LINE>
<WORD coords="225,3268,474,3189,3245">lugares</WORD>
<WORD coords="530,3247,661,3189,3246">ácia</WORD>
<WORD coords="703,3248,973,3190,3246">derecha</WORD>
<WORD coords="1029,3250,1110,3191,3250">de</WORD>
<WORD coords="1157,3250,1286,3203,3249">este</WORD>
<WORD coords="1343,3248,1532,3192,3247">modo</WORD>
<WORD coords="1589,3249,1667,3196,3248">23</WORD>
<WORD coords="1703,3257,1720,3235,3252">,</WORD>
<WORD coords="1749,3248,1862,3210,3246">con</WORD>
<WORD coords="1894,3248,1953,3187,3247">lo</WORD>
<WORD coords="2000,3266,2118,3209,3248">que</WORD>
<WORD coords="2163,3249,2228,3211,3248">se</WORD>
<WORD coords="2282,3249,2364,3186,3248">ha</WORD>
<WORD coords="2418,3250,2581,3193,3249">mul-</WORD>
</LINE>
<LINE>
<WORD coords="215,3369,519,3295,3350">tiplicado</WORD>
<WORD coords="577,3379,780,3300,3363">(138)</WORD>
<WORD coords="822,3373,932,3313,3354">por</WORD>
<WORD coords="979,3357,1096,3305,3355">100</WORD>
<WORD coords="1144,3356,1202,3300,3355">el</WORD>
<WORD coords="1250,3356,1495,3296,3354">factor:</WORD>
<WORD coords="1557,3366,1987,3295,3352">suprimiendo</WORD>
<WORD coords="2050,3353,2104,3299,3352">la</WORD>
<WORD coords="2167,3358,2343,3318,3357">coma</WORD>
<WORD coords="2401,3358,2475,3320,3357">en</WORD>
<WORD coords="2519,3359,2581,3301,3358">el</WORD>
</LINE>
<LINE>
<WORD coords="216,3482,682,3407,3464">multiplicador</WORD>
<WORD coords="717,3480,866,3414,3470">0,3</WORD>
<WORD coords="934,3470,1000,3430,3469">se</WORD>
<WORD coords="1035,3469,1090,3411,3468">le</WORD>
<WORD coords="1133,3469,1213,3410,3469">ha</WORD>
<WORD coords="1261,3468,1508,3410,3466">corrido</WORD>
<WORD coords="1559,3468,1835,3409,3466">también</WORD>
<WORD coords="1877,3469,1934,3412,3467">la</WORD>
<WORD coords="1979,3466,2155,3427,3465">coma</WORD>
<WORD coords="2200,3464,2281,3425,3463">un</WORD>
<WORD coords="2329,3485,2506,3408,3461">lugar</WORD>
<WORD coords="2537,3465,2572,3407,3465">i</WORD>
</LINE>
<LINE>
<WORD coords="216,3571,274,3512,3570">ta</WORD>
<WORD coords="324,3572,587,3514,3570">derecha</WORD>
<WORD coords="621,3587,640,3559,3580">,</WORD>
<WORD coords="673,3573,713,3515,3573">ó</WORD>
<WORD coords="759,3573,824,3534,3572">se</WORD>
<WORD coords="878,3572,933,3520,3571">le</WORD>
<WORD coords="990,3574,1071,3516,3572">ha</WORD>
<WORD coords="1126,3582,1556,3515,3571">multiplicado</WORD>
<WORD coords="1617,3590,1727,3533,3571">por</WORD>
<WORD coords="1786,3573,1878,3523,3571">ÍO.</WORD>
<WORD coords="1968,3573,2171,3517,3571">Como</WORD>
<WORD coords="2224,3570,2280,3514,3569">el</WORD>
<WORD coords="2333,3568,2411,3530,3567">un</WORD>
<WORD coords="2443,3568,2577,3510,3566">fac-</WORD>
</LINE>
<LINE>
<WORD coords="206,3676,315,3626,3675">tor</WORD>
<WORD coords="361,3677,426,3639,3676">se</WORD>
<WORD coords="478,3679,557,3620,3679">ha</WORD>
<WORD coords="602,3698,1030,3621,3677">multiplicado</WORD>
<WORD coords="1092,3695,1203,3641,3678">por</WORD>
<WORD coords="1252,3680,1369,3630,3680">100</WORD>
<WORD coords="1412,3700,1455,3643,3689">y</WORD>
<WORD coords="1510,3678,1568,3621,3678">el</WORD>
<WORD coords="1612,3678,1745,3631,3677">otro</WORD>
<WORD coords="1803,3695,1911,3639,3676">por</WORD>
<WORD coords="1975,3678,2053,3627,3677">10</WORD>
<WORD coords="2082,3688,2100,3663,3682">,</WORD>
<WORD coords="2141,3677,2208,3636,3675">se</WORD>
<WORD coords="2247,3695,2421,3616,3672">sigue</WORD>
<WORD coords="2450,3689,2571,3632,3671">que</WORD>
</LINE>
<LINE>
<WORD coords="207,3783,269,3727,3782">el</WORD>
<WORD coords="315,3793,621,3728,3783">producto</WORD>
<WORD coords="666,3786,748,3731,3785">69</WORD>
<WORD coords="777,3787,842,3749,3786">es</WORD>
<WORD coords="890,3808,1033,3729,3794">(89)</WORD>
<WORD coords="1069,3787,1228,3736,3786">1000</WORD>
<WORD coords="1271,3785,1450,3745,3784">veces</WORD>
<WORD coords="1496,3803,1710,3745,3783">mayor</WORD>
<WORD coords="1763,3799,1879,3746,3781">que</WORD>
<WORD coords="1934,3782,1990,3727,3782">el</WORD>
<WORD coords="2037,3801,2352,3727,3783">primitivo</WORD>
<WORD coords="2387,3784,2404,3751,3784">:</WORD>
<WORD coords="2438,3783,2563,3733,3781">lue-</WORD>
</LINE>
<LINE>
<WORD coords="212,3910,293,3852,3886">go</WORD>
<WORD coords="340,3907,484,3851,3890">para</WORD>
<WORD coords="553,3893,807,3836,3891">obtener</WORD>
<WORD coords="853,3895,984,3849,3893">este</WORD>
<WORD coords="1010,3906,1027,3880,3892">,</WORD>
<WORD coords="1098,3892,1462,3834,3890">deberemos</WORD>
<WORD coords="1520,3888,1706,3832,3887">hacer</WORD>
<WORD coords="1769,3889,1925,3838,3887">1000</WORD>
<WORD coords="1990,3890,2170,3849,3888">veces</WORD>
<WORD coords="2246,3889,2456,3849,3886">menor</WORD>
<WORD coords="2506,3884,2563,3827,3883">el</WORD>
</LINE>
<LINE>
<WORD coords="211,4000,418,3954,3998">fcutvo</WORD>
<WORD coords="460,4020,767,3941,4000">producto</WORD>
<WORD coords="800,4019,822,3985,4019">9</WORD>
<WORD coords="862,3999,919,3942,3998">lo</WORD>
<WORD coords="965,4021,1084,3960,4001">que</WORD>
<WORD coords="1127,4000,1195,3959,4000">se</WORD>
<WORD coords="1240,4013,1534,3938,3995">consigue</WORD>
<WORD coords="1592,4020,1775,3938,4004">(138)</WORD>
<WORD coords="1808,3999,2287,3938,3997">letrocediendo</WORD>
<WORD coords="2343,3995,2400,3939,3994">la</WORD>
<WORD coords="2458,3993,2566,3952,3993">co»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1328,4107,1417,4048,4105">24</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0099.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0100.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0100.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1818,520,1960,432,519">90</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="700,643,802,602,641">ena</WORD>
<WORD coords="861,639,986,593,638">tres</WORD>
<WORD coords="1043,661,1290,583,639">lugares</WORD>
<WORD coords="1348,640,1377,584,640">á</WORD>
<WORD coords="1438,638,1493,583,637">la</WORD>
<WORD coords="1547,656,1902,581,637">izquierda,</WORD>
<WORD coords="1935,605,1950,585,622">*</WORD>
<WORD coords="1995,640,2191,581,639">Como</WORD>
<WORD coords="2231,642,2540,582,640">haríamos</WORD>
<WORD coords="2587,645,2640,588,644">el</WORD>
<WORD coords="2686,648,2912,590,646">mismo</WORD>
<WORD coords="2955,651,3053,609,649">ra-</WORD>
</LINE>
<LINE>
<WORD coords="702,749,1092,689,745">zonamiento</WORD>
<WORD coords="1135,747,1314,690,745">sobre</WORD>
<WORD coords="1375,765,1696,688,745">cualquier</WORD>
<WORD coords="1746,747,1884,700,745">otro</WORD>
<WORD coords="1939,750,2081,707,748">caso</WORD>
<WORD coords="2127,751,2207,691,749">de</WORD>
<WORD coords="2260,751,2348,696,747">la,</WORD>
<WORD coords="2389,750,2609,694,747">misma</WORD>
<WORD coords="2674,778,3061,700,754">naturaleza,</WORD>
</LINE>
<LINE>
<WORD coords="695,859,768,819,857">se</WORD>
<WORD coords="826,874,1001,798,853">sigue</WORD>
<WORD coords="1049,854,1125,797,854">L.</WORD>
<WORD coords="1177,865,1259,797,857">Q.</WORD>
<WORD coords="1315,855,1398,797,853">D.</WORD>
<WORD coords="1450,854,1530,797,853">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="788,962,926,912,961">145.</WORD>
<WORD coords="1017,963,1275,903,958">Escolio.</WORD>
<WORD coords="1331,960,1425,903,959">De</WORD>
<WORD coords="1471,959,1529,904,958">lo</WORD>
<WORD coords="1579,960,1763,903,959">dicho</WORD>
<WORD coords="1808,985,1984,906,969">[138]</WORD>
<WORD coords="2022,963,2086,925,962">se</WORD>
<WORD coords="2119,965,2359,906,962">deduce</WORD>
<WORD coords="2408,982,2524,925,965">que</WORD>
<WORD coords="2572,983,2713,927,965">para</WORD>
<WORD coords="2761,982,3060,910,965">multipli-</WORD>
</LINE>
<LINE>
<WORD coords="700,1074,807,1030,1071">car</WORD>
<WORD coords="860,1070,1196,1010,1067">decimales</WORD>
<WORD coords="1250,1086,1364,1028,1065">por</WORD>
<WORD coords="1412,1082,1533,1018,1070">10,</WORD>
<WORD coords="1590,1066,1706,1017,1066">100</WORD>
<WORD coords="1765,1069,1804,1032,1069">o</WORD>
<WORD coords="1862,1070,1935,1033,1069">en</WORD>
<WORD coords="1997,1089,2243,1014,1067">general</WORD>
<WORD coords="2302,1088,2411,1033,1070">por</WORD>
<WORD coords="2456,1071,2507,1018,1070">la</WORD>
<WORD coords="2567,1073,2803,1015,1070">unidad</WORD>
<WORD coords="2849,1090,3051,1016,1071">segui-</WORD>
</LINE>
<LINE>
<WORD coords="697,1179,779,1120,1177">da</WORD>
<WORD coords="846,1179,926,1120,1177">de</WORD>
<WORD coords="996,1181,1168,1136,1176">ceros</WORD>
<WORD coords="1197,1189,1220,1141,1182">;</WORD>
<WORD coords="1268,1175,1344,1135,1174">no</WORD>
<WORD coords="1401,1194,1522,1116,1173">hay</WORD>
<WORD coords="1578,1176,1711,1137,1175">mas</WORD>
<WORD coords="1778,1194,1900,1139,1177">que</WORD>
<WORD coords="1960,1176,2172,1137,1174">correr</WORD>
<WORD coords="2243,1175,2297,1121,1174">la</WORD>
<WORD coords="2355,1177,2532,1139,1176">coma</WORD>
<WORD coords="2600,1178,2731,1122,1176">ácia</WORD>
<WORD coords="2790,1177,3063,1119,1175">derecha</WORD>
</LINE>
<LINE>
<WORD coords="697,1284,902,1235,1282">tantos</WORD>
<WORD coords="947,1307,1192,1225,1281">lugares</WORD>
<WORD coords="1250,1281,1432,1243,1280">como</WORD>
<WORD coords="1485,1281,1659,1243,1280">ceros</WORD>
<WORD coords="1702,1302,1823,1223,1282">hay</WORD>
<WORD coords="1868,1299,2134,1227,1282">después</WORD>
<WORD coords="2190,1282,2266,1226,1282">de</WORD>
<WORD coords="2329,1281,2385,1228,1281">la</WORD>
<WORD coords="2416,1284,2669,1228,1282">unidad.</WORD>
<WORD coords="2729,1288,2848,1229,1284">Por</WORD>
<WORD coords="2879,1300,3058,1227,1280">ejtpt*</WORD>
</LINE>
<LINE>
<WORD coords="689,1416,794,1339,1397">fio</WORD>
<WORD coords="827,1405,844,1376,1397">,</WORD>
<WORD coords="904,1390,955,1334,1388">si</WORD>
<WORD coords="1022,1407,1369,1330,1386">multiplico</WORD>
<WORD coords="1426,1388,1459,1339,1388">8</WORD>
<WORD coords="1496,1400,1512,1374,1394">,</WORD>
<WORD coords="1573,1388,1652,1335,1387">37</WORD>
<WORD coords="1707,1406,1817,1349,1387">por</WORD>
<WORD coords="1885,1388,1960,1338,1388">10</WORD>
<WORD coords="1995,1401,2013,1375,1395">,</WORD>
<WORD coords="2131,1388,2185,1334,1387">el</WORD>
<WORD coords="2251,1408,2556,1331,1389">producto</WORD>
<WORD coords="2624,1391,2761,1352,1390">sera</WORD>
<WORD coords="2808,1389,2886,1337,1388">83</WORD>
<WORD coords="2920,1405,2939,1374,1397">,</WORD>
<WORD coords="2987,1386,3060,1333,1382">7*</WORD>
</LINE>
<LINE>
<WORD coords="698,1498,751,1458,1498">e?</WORD>
<WORD coords="794,1518,909,1457,1496">por</WORD>
<WORD coords="957,1500,1116,1445,1496">HQQO</WORD>
<WORD coords="1148,1513,1166,1482,1504">,</WORD>
<WORD coords="1214,1496,1271,1438,1495">el</WORD>
<WORD coords="1317,1516,1622,1440,1495">producto</WORD>
<WORD coords="1672,1494,1809,1457,1493">ser*</WORD>
<WORD coords="1857,1510,2068,1443,1497">8370,</WORD>
<WORD coords="2127,1496,2247,1438,1495">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1558,1629,1818,1569,1627">Dividir</WORD>
<WORD coords="1871,1630,2205,1569,1626">decimales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="786,1765,924,1708,1761">146.</WORD>
<WORD coords="1022,1764,1349,1703,1762">Problema</WORD>
<WORD coords="1379,1782,1421,1724,1772">y</WORD>
<WORD coords="1450,1763,1824,1705,1761">resolución.</WORD>
<WORD coords="1889,1759,2060,1705,1758">Para</WORD>
<WORD coords="2109,1760,2342,1699,1758">dividir</WORD>
<WORD coords="2395,1763,2710,1703,1760">decimales</WORD>
<WORD coords="2746,1773,2763,1726,1768">;</WORD>
<WORD coords="2822,1763,2875,1709,1763">t.</WORD>
<WORD coords="2900,1744,2938,1705,1752">°</WORD>
<WORD coords="2989,1762,3063,1722,1761">se</WORD>
</LINE>
<LINE>
<WORD coords="704,1873,948,1810,1867">añaden</WORD>
<WORD coords="998,1869,1053,1812,1869">al</WORD>
<WORD coords="1107,1874,1445,1813,1870">dividendo</WORD>
<WORD coords="1502,1889,1543,1832,1879">y</WORD>
<WORD coords="1618,1869,1857,1813,1868">divisor</WORD>
<WORD coords="1916,1867,2117,1823,1865">tantos</WORD>
<WORD coords="2169,1868,2347,1830,1866">ceros</WORD>
<WORD coords="2380,1881,2397,1854,1874">,</WORD>
<WORD coords="2451,1868,2704,1823,1866">cuantos</WORD>
<WORD coords="2753,1865,2818,1829,1864">se</WORD>
<WORD coords="2877,1868,3057,1829,1865">nece-</WORD>
</LINE>
<LINE>
<WORD coords="701,1980,864,1922,1977">siten</WORD>
<WORD coords="923,1996,1062,1939,1976">para</WORD>
<WORD coords="1122,1994,1241,1939,1977">que</WORD>
<WORD coords="1295,1974,1370,1937,1974">en</WORD>
<WORD coords="1429,1976,1640,1920,1974">ambos</WORD>
<WORD coords="1685,1994,1845,1916,1974">haya</WORD>
<WORD coords="1888,1994,2057,1918,1973">igual</WORD>
<WORD coords="2108,1978,2367,1935,1973">numero</WORD>
<WORD coords="2413,1972,2491,1916,1972">de</WORD>
<WORD coords="2546,1993,2898,1917,1971">guarismos</WORD>
<WORD coords="2952,1975,3063,1918,1973">de-</WORD>
</LINE>
<LINE>
<WORD coords="702,2087,959,2026,2084">cimales</WORD>
<WORD coords="994,2098,1012,2048,2091">;</WORD>
<WORD coords="1063,2084,1119,2033,2081">2.</WORD>
<WORD coords="1144,2065,1184,2023,2073">°</WORD>
<WORD coords="1264,2084,1343,2024,2083">Se</WORD>
<WORD coords="1409,2085,1592,2026,2082">borra</WORD>
<WORD coords="1653,2083,1708,2027,2082">la</WORD>
<WORD coords="1754,2081,1930,2040,2080">coma</WORD>
<WORD coords="1985,2080,2061,2043,2080">ea</WORD>
<WORD coords="2118,2082,2332,2024,2080">ambos</WORD>
<WORD coords="2385,2082,2680,2026,2080">términos</WORD>
<WORD coords="2728,2100,2768,2045,2091">y</WORD>
<WORD coords="2827,2082,2890,2043,2081">se</WORD>
<WORD coords="2946,2112,3055,2021,2080">ij¡a-</WORD>
</LINE>
<LINE>
<WORD coords="704,2196,778,2152,2195">Ce</WORD>
<WORD coords="831,2193,885,2137,2192">la</WORD>
<WORD coords="932,2191,1200,2132,2190">división</WORD>
<WORD coords="1257,2191,1313,2134,2191">al</WORD>
<WORD coords="1382,2192,1567,2134,2190">modo</WORD>
<WORD coords="1613,2208,1734,2153,2190">que</WORD>
<WORD coords="1780,2189,1857,2151,2189">em</WORD>
<WORD coords="1910,2188,1999,2132,2187">los</WORD>
<WORD coords="2046,2187,2288,2142,2186">enteros</WORD>
<WORD coords="2320,2194,2340,2172,2191">,</WORD>
<WORD coords="2370,2189,2464,2133,2187">sin</WORD>
<WORD coords="2513,2189,2739,2132,2188">mudar</WORD>
<WORD coords="2791,2191,2952,2133,2189">©adá</WORD>
<WORD coords="2987,2189,3063,2148,2188">en</WORD>
</LINE>
<LINE>
<WORD coords="705,2304,767,2245,2303">el</WORD>
<WORD coords="824,2301,1119,2242,2298">cociente.</WORD>
<WORD coords="1207,2299,1270,2240,2298">Si</WORD>
<WORD coords="1319,2297,1395,2239,2297">de</WORD>
<WORD coords="1452,2298,1509,2241,2297">la</WORD>
<WORD coords="1563,2298,1833,2240,2296">división</WORD>
<WORD coords="1892,2296,2121,2238,2294">resulta</WORD>
<WORD coords="2176,2315,2396,2239,2294">alguna</WORD>
<WORD coords="2449,2298,2609,2250,2294">resta</WORD>
<WORD coords="2644,2309,2662,2281,2309">%</WORD>
<WORD coords="2717,2296,2787,2260,2295">en</WORD>
<WORD coords="2837,2299,2952,2257,2295">vez</WORD>
<WORD coords="2980,2299,3063,2233,2296">8e</WORD>
</LINE>
<LINE>
<WORD coords="709,2431,966,2352,2408">ponerla</WORD>
<WORD coords="1018,2405,1075,2349,2405">al</WORD>
<WORD coords="1112,2406,1268,2348,2404">lado</WORD>
<WORD coords="1316,2404,1419,2348,2403">del</WORD>
<WORD coords="1471,2403,1744,2346,2402">cociente</WORD>
<WORD coords="1782,2402,1854,2365,2401">en</WORD>
<WORD coords="1911,2402,2109,2343,2401">forma</WORD>
<WORD coords="2153,2402,2229,2345,2401">de</WORD>
<WORD coords="2285,2422,2600,2345,2401">quebrado</WORD>
<WORD coords="2661,2401,2892,2362,2399">comim</WORD>
<WORD coords="2924,2415,2946,2388,2415">#</WORD>
<WORD coords="2998,2403,3064,2365,2401">se</WORD>
</LINE>
<LINE>
<WORD coords="708,2521,993,2462,2517">reducirá</WORD>
<WORD coords="1050,2514,1077,2457,2514">á</WORD>
<WORD coords="1133,2517,1466,2456,2514">decimales</WORD>
<WORD coords="1501,2528,1517,2479,2528">;</WORD>
<WORD coords="1576,2529,1718,2472,2509">para</WORD>
<WORD coords="1772,2509,1890,2453,2507">ello</WORD>
<WORD coords="1945,2509,2008,2473,2508">se</WORD>
<WORD coords="2067,2510,2264,2454,2509">añade</WORD>
<WORD coords="2313,2508,2339,2456,2509">á</WORD>
<WORD coords="2380,2509,2433,2456,2508">la</WORD>
<WORD coords="2466,2510,2682,2452,2507">ultima</WORD>
<WORD coords="2745,2507,2911,2463,2505">resta</WORD>
<WORD coords="2983,2509,3066,2470,2508">un</WORD>
</LINE>
<LINE>
<WORD coords="708,2627,853,2586,2626">cero</WORD>
<WORD coords="885,2642,905,2612,2632">,</WORD>
<WORD coords="959,2622,1021,2585,2622">se</WORD>
<WORD coords="1085,2623,1302,2564,2621">divide</WORD>
<WORD coords="1370,2640,1480,2581,2618">por</WORD>
<WORD coords="1544,2617,1599,2562,2616">el</WORD>
<WORD coords="1652,2618,1892,2560,2616">divisor</WORD>
<WORD coords="1943,2638,1982,2580,2627">y</WORD>
<WORD coords="2024,2616,2078,2562,2615">el</WORD>
<WORD coords="2130,2617,2431,2561,2615">cociente&apos;</WORD>
<WORD coords="2465,2617,2526,2580,2616">se</WORD>
<WORD coords="2588,2632,2740,2579,2613">pone</WORD>
<WORD coords="2804,2615,2856,2558,2613">al</WORD>
<WORD coords="2856,2616,2873,2569,2616">Y</WORD>
<WORD coords="2871,2633,2889,2611,2633">s</WORD>
<WORD coords="2925,2615,3066,2559,2613">lado</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="664,2693,675,2683,2708">*</WORD>
<WORD coords="710,2734,789,2675,2733">de</WORD>
<WORD coords="833,2731,887,2675,2730">la</WORD>
<WORD coords="932,2730,1106,2691,2729">coma</WORD>
<WORD coords="1162,2749,1378,2681,2726">puesta</WORD>
<WORD coords="1432,2724,1459,2671,2724">á</WORD>
<WORD coords="1519,2724,1572,2669,2723">la</WORD>
<WORD coords="1625,2725,1891,2664,2721">derecha</WORD>
<WORD coords="1939,2722,2013,2665,2721">de</WORD>
<WORD coords="2063,2721,2151,2667,2721">los</WORD>
<WORD coords="2197,2721,2443,2681,2719">enteros</WORD>
<WORD coords="2506,2740,2626,2685,2721">que</WORD>
<WORD coords="2684,2721,2748,2682,2719">se</WORD>
<WORD coords="2782,2734,3064,2680,2718">sacaron;</WORD>
</LINE>
<LINE>
<WORD coords="709,2858,1072,2780,2836">ejecutando</WORD>
<WORD coords="1119,2834,1179,2780,2833">lo</WORD>
<WORD coords="1221,2833,1447,2776,2831">mismo</WORD>
<WORD coords="1495,2829,1610,2792,2828">con</WORD>
<WORD coords="1656,2827,1743,2773,2826">las</WORD>
<WORD coords="1802,2829,1966,2784,2827">otras</WORD>
<WORD coords="2025,2832,2224,2784,2828">restas</WORD>
<WORD coords="2261,2847,2278,2814,2847">y</WORD>
<WORD coords="2307,2829,2483,2769,2827">hasta</WORD>
<WORD coords="2542,2828,2711,2787,2825">sacar</WORD>
<WORD coords="2773,2824,2862,2770,2823">ios</WORD>
<WORD coords="2914,2844,3064,2788,2825">gua-</WORD>
</LINE>
<LINE>
<WORD coords="709,2948,933,2888,2943">rismos</WORD>
<WORD coords="990,2940,1327,2883,2939">decimales</WORD>
<WORD coords="1369,2957,1490,2899,2938">que</WORD>
<WORD coords="1542,2936,1605,2899,2935">se</WORD>
<WORD coords="1664,2952,1939,2878,2932">quieran.</WORD>
<WORD coords="2766,2933,2877,2914,2930">...</WORD>
</LINE>
<LINE>
<WORD coords="712,3071,1050,2997,3053">«0,16=</WORD>
<WORD coords="1081,3050,1199,2996,3047">TOO</WORD>
<WORD coords="1234,3070,1245,2990,3058">|</WORD>
<WORD coords="1287,3047,1360,2993,3046">16</WORD>
<WORD coords="1569,3069,1707,2988,3043">(A)</WORD>
<WORD coords="1736,3057,1756,3008,3048">j</WORD>
<WORD coords="1839,3039,1875,2992,3039">S</WORD>
<WORD coords="1910,3059,1930,2988,3050">;</WORD>
<WORD coords="1956,3041,2078,2985,3040">456</WORD>
<WORD coords="2110,3042,2126,3004,3040">:</WORD>
<WORD coords="2156,3039,2201,2989,3039">O</WORD>
<WORD coords="2229,3058,2247,3027,3049">,</WORD>
<WORD coords="2274,3040,2313,2995,3039">4</WORD>
<WORD coords="2342,3024,2447,3010,3031">—</WORD>
<WORD coords="2481,3039,2640,2986,3038">5456</WORD>
<WORD coords="2676,3048,2690,2983,3048">f</WORD>
<WORD coords="2725,3036,2885,2987,3035">4000</WORD>
<WORD coords="2929,3059,3065,2978,3037">[B].</WORD>
</LINE>
<LINE>
<WORD coords="1126,3153,1208,3101,3152">60</WORD>
<WORD coords="1241,3178,1253,3096,3178">|</WORD>
<WORD coords="1279,3169,1517,3078,3152">Tf^7S</WORD>
<WORD coords="2482,3146,2635,3093,3144">1456</WORD>
<WORD coords="2672,3168,2690,3089,3163">{</WORD>
<WORD coords="2728,3159,2910,3092,3146">1,364</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1129,3264,1252,3184,3260">¡20</WORD>
<WORD coords="2534,3251,2656,3201,3250">256</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1210,3368,1294,3317,3367">80</WORD>
<WORD coords="2580,3368,2657,3287,3368">M</WORD>
</LINE>
<LINE>
<WORD coords="1205,3454,1294,3402,3450">00</WORD>
<WORD coords="2565,3438,2654,3390,3438">00</WORD>
</LINE>
<LINE>
<WORD coords="966,3584,1259,3505,3560">Ejemplo.</WORD>
<WORD coords="1346,3585,1371,3506,3572">[</WORD>
<WORD coords="1402,3560,1457,3503,3560">A</WORD>
<WORD coords="1489,3579,1535,3499,3564">}•</WORD>
<WORD coords="1597,3557,1907,3498,3555">Divídase</WORD>
<WORD coords="1975,3553,2014,3497,3553">7</WORD>
<WORD coords="2069,3569,2180,3511,3549">por</WORD>
<WORD coords="2236,3547,2278,3498,3547">O</WORD>
<WORD coords="2354,3546,2447,3495,3549">16</WORD>
<WORD coords="2564,3547,2792,3489,3544">Añado</WORD>
<WORD coords="2839,3544,2896,3490,3544">al</WORD>
<WORD coords="2966,3548,3063,3487,3547">di-</WORD>
</LINE>
<LINE>
<WORD coords="719,3673,995,3610,3669">videndo</WORD>
<WORD coords="1049,3669,1084,3616,3668">7</WORD>
<WORD coords="1140,3668,1256,3612,3667">dos</WORD>
<WORD coords="1299,3681,1512,3629,3666">ceros,</WORD>
<WORD coords="1544,3683,1781,3626,3663">porque</WORD>
<WORD coords="1839,3661,1891,3604,3660">el</WORD>
<WORD coords="1950,3659,2186,3600,3654">divisor</WORD>
<WORD coords="2222,3654,2380,3600,3652">tiene</WORD>
<WORD coords="2418,3651,2529,3599,3650">dos</WORD>
<WORD coords="2578,3671,2923,3595,3648">guarismos</WORD>
<WORD coords="2958,3658,3067,3596,3654">de-</WORD>
</LINE>
<LINE>
<WORD coords="716,3777,970,3719,3774">cimales</WORD>
<WORD coords="1004,3793,1021,3741,3792">;</WORD>
<WORD coords="1072,3792,1113,3736,3783">y</WORD>
<WORD coords="1163,3774,1473,3715,3772">borrando</WORD>
<WORD coords="1514,3770,1572,3715,3769">la</WORD>
<WORD coords="1617,3769,1795,3731,3768">coma</WORD>
<WORD coords="1844,3765,1917,3730,3765">en</WORD>
<WORD coords="1974,3762,2023,3708,3760">el</WORD>
<WORD coords="2100,3761,2277,3705,3758">divi-</WORD>
<WORD coords="2314,3757,2338,3723,3757">r</WORD>
<WORD coords="2398,3779,2435,3723,3771">y</WORD>
<WORD coords="2493,3759,2838,3701,3756">divideoéo</WORD>
<WORD coords="2864,3772,2887,3746,3772">&gt;</WORD>
<WORD coords="2916,3776,3066,3720,3758">que-</WORD>
</LINE>
<LINE>
<WORD coords="717,3884,799,3825,3883">da</WORD>
<WORD coords="867,3884,1167,3824,3880">reducida</WORD>
<WORD coords="1222,3880,1279,3825,3880">la</WORD>
<WORD coords="1330,3899,1659,3817,3876">operación</WORD>
<WORD coords="1721,3875,1751,3822,3874">á</WORD>
<WORD coords="1817,3873,2039,3816,3870">dividí*</WORD>
<WORD coords="2107,3870,2153,3821,3867">7*</WORD>
<WORD coords="2278,3878,2379,3825,3869">po*</WORD>
<WORD coords="2435,3866,2502,3814,3866">16</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="965,4010,1232,3931,3987">Ejecuto</WORD>
<WORD coords="1283,3986,1339,3932,3986">la</WORD>
<WORD coords="1384,3988,1652,3927,3985">división</WORD>
<WORD coords="1688,3997,1702,3971,3997">,</WORD>
<WORD coords="1727,4003,1764,3946,4002">y</WORD>
<WORD coords="1811,4002,1992,3937,3981">fcetfg*</WORD>
<WORD coords="2050,3978,2104,3922,3977">el</WORD>
<WORD coords="2150,3976,2422,3920,3974">cociente</WORD>
<WORD coords="2469,3973,2547,3922,3974">45</WORD>
<WORD coords="2592,3970,2834,3924,3968">enteros</WORD>
<WORD coords="2879,3987,2947,3914,3968">y&apos;</WORD>
<WORD coords="2964,3986,3061,3930,3975">so-</WORD>
</LINE>
<LINE>
<WORD coords="713,4101,866,4037,4099">bran</WORD>
<WORD coords="913,4097,984,4044,4097">12</WORD>
<WORD coords="1008,4110,1029,4060,4110">;</WORD>
<WORD coords="1097,4117,1298,4055,4094">pongo</WORD>
<WORD coords="1353,4095,1474,4052,4094">una</WORD>
<WORD coords="1532,4094,1709,4052,4092">concia</WORD>
<WORD coords="1753,4091,1825,4052,4089">eu</WORD>
<WORD coords="1880,4088,1938,4032,4087">el</WORD>
<WORD coords="1996,4086,2269,4027,4083">cociente</WORD>
<WORD coords="2320,4099,2339,4066,4099">f</WORD>
<WORD coords="2396,4080,2598,4023,4078">añado</WORD>
<WORD coords="2664,4076,2706,4027,4076">O</WORD>
<WORD coords="2764,4075,2818,4021,4074">ai</WORD>
<WORD coords="2880,4076,2950,4026,4079">12</WORD>
<WORD coords="3022,4094,3069,4034,4069">jr</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0100.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0101.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0101.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1410,560,1546,470,559">91</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="294,662,362,620,660">•e</WORD>
<WORD coords="414,664,726,602,660">convierte</WORD>
<WORD coords="774,666,850,626,665">en</WORD>
<WORD coords="884,680,1048,612,673">120,</WORD>
<WORD coords="1094,684,1214,628,670">qu*</WORD>
<WORD coords="1276,670,1334,614,670">lo</WORD>
<WORD coords="1394,674,1486,622,674">di.</WORD>
<WORD coords="1508,676,1524,624,676">i</WORD>
<WORD coords="1556,678,1614,624,677">io</WORD>
<WORD coords="1678,698,1788,644,677">por</WORD>
<WORD coords="1850,686,1964,634,684">15:</WORD>
<WORD coords="2018,710,2216,652,686">pongo</WORD>
<WORD coords="2266,694,2318,640,694">el</WORD>
<WORD coords="2370,716,2642,642,707">cociente</WORD>
</LINE>
<LINE>
<WORD coords="298,776,374,712,775">7,</WORD>
<WORD coords="438,764,494,712,764">lo</WORD>
<WORD coords="546,788,892,716,768">multiplico</WORD>
<WORD coords="940,790,1050,738,774">por</WORD>
<WORD coords="1106,776,1160,722,775">el</WORD>
<WORD coords="1208,778,1444,722,777">divisor</WORD>
<WORD coords="1490,802,1528,746,794">y</WORD>
<WORD coords="1574,786,1734,744,783">resto</WORD>
<WORD coords="1766,802,1782,758,797">;</WORD>
<WORD coords="1842,792,1870,742,792">á</WORD>
<WORD coords="1922,792,1972,740,791">la</WORD>
<WORD coords="2024,796,2182,754,795">reta</WORD>
<WORD coords="2242,800,2274,752,800">S</WORD>
<WORD coords="2324,830,2510,768,806">agreg</WORD>
<WORD coords="2612,812,2650,768,812">o</WORD>
</LINE>
<LINE>
<WORD coords="294,888,336,832,890">y</WORD>
<WORD coords="390,874,606,816,871">divido</WORD>
<WORD coords="662,876,744,828,881">80</WORD>
<WORD coords="792,896,902,840,878">por</WORD>
<WORD coords="958,896,1072,828,887">16,</WORD>
<WORD coords="1132,882,1190,828,882">lo</WORD>
<WORD coords="1250,902,1370,848,884">que</WORD>
<WORD coords="1418,886,1492,832,886">da</WORD>
<WORD coords="1552,888,1584,844,890">5</WORD>
<WORD coords="1644,892,1718,838,891">de</WORD>
<WORD coords="1768,908,1962,836,902">cíente</WORD>
<WORD coords="2008,910,2232,858,905">esacto.</WORD>
<WORD coords="2328,926,2646,854,918">Concluya</WORD>
</LINE>
<LINE>
<WORD coords="290,976,340,918,975">la</WORD>
<WORD coords="388,994,714,926,978">operación</WORD>
<WORD coords="760,1002,798,948,1002">y</WORD>
<WORD coords="850,1008,1000,928,985">digo</WORD>
<WORD coords="1056,1006,1172,952,991">que</WORD>
<WORD coords="1248,992,1280,940,995">7</WORD>
<WORD coords="1332,998,1620,936,994">dividido</WORD>
<WORD coords="1712,1018,1820,964,1000">por</WORD>
<WORD coords="1934,1022,1948,994,1008">,</WORD>
<WORD coords="1992,1008,2060,956,1008">16</WORD>
<WORD coords="2114,1012,2190,956,1011">da</WORD>
<WORD coords="2248,1016,2324,958,1015">de</WORD>
<WORD coords="2400,1036,2616,972,1030">cocieo</WORD>
</LINE>
<LINE>
<WORD coords="292,1082,350,1038,1082">te</WORD>
<WORD coords="396,1084,474,1034,1083">43</WORD>
<WORD coords="510,1098,526,1028,1098">i</WORD>
<WORD coords="562,1088,658,1036,1083">15.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="540,1214,810,1136,1193">Ejemplo</WORD>
<WORD coords="876,1222,1010,1142,1210">[BJ.</WORD>
<WORD coords="1106,1224,1280,1148,1205">Aquí</WORD>
<WORD coords="1340,1232,1526,1160,1208">tengo</WORD>
<WORD coords="1584,1234,1704,1178,1217">que</WORD>
<WORD coords="1764,1226,1998,1162,1220">dividir</WORD>
<WORD coords="2052,1242,2288,1178,1234">5,456</WORD>
<WORD coords="2340,1256,2514,1202,1243">poro</WORD>
<WORD coords="2582,1258,2622,1206,1258">4</WORD>
</LINE>
<LINE>
<WORD coords="292,1300,532,1238,1298">Añado</WORD>
<WORD coords="580,1300,632,1248,1299">al</WORD>
<WORD coords="690,1306,930,1246,1304">divisor</WORD>
<WORD coords="984,1308,1026,1258,1315">4</WORD>
<WORD coords="1080,1310,1202,1264,1309">tres</WORD>
<WORD coords="1248,1316,1422,1274,1313">ceros</WORD>
<WORD coords="1456,1332,1478,1304,1332">,</WORD>
<WORD coords="1536,1340,1766,1282,1320">porque</WORD>
<WORD coords="1826,1330,1992,1284,1328">otros</WORD>
<WORD coords="2040,1338,2238,1292,1334">tantos</WORD>
<WORD coords="2290,1368,2640,1300,1359">gu,rbmM</WORD>
</LINE>
<LINE>
<WORD coords="288,1400,426,1346,1400">«icci</WORD>
<WORD coords="440,1402,532,1368,1402">ma</WORD>
<WORD coords="544,1408,554,1354,1408">|</WORD>
<WORD coords="564,1406,626,1372,1406">es</WORD>
<WORD coords="682,1408,708,1362,1408">t</WORD>
<WORD coords="716,1412,846,1372,1409">:ene</WORD>
<WORD coords="898,1410,950,1356,1410">el</WORD>
<WORD coords="1004,1426,1396,1358,1414">dividendo,-</WORD>
<WORD coords="1456,1440,1736,1370,1424">suprimo</WORD>
<WORD coords="1786,1430,1870,1374,1430">las</WORD>
<WORD coords="1920,1438,2126,1396,1434">coma,</WORD>
<WORD coords="2172,1460,2214,1406,1460">y</WORD>
<WORD coords="2278,1472,2352,1392,1463">^</WORD>
<WORD coords="2418,1454,2468,1428,1454">,„</WORD>
<WORD coords="2464,1452,2470,1418,1452">:</WORD>
<WORD coords="2592,1432,2600,1416,1432">.</WORD>
</LINE>
<LINE>
<WORD coords="288,1508,556,1450,1506">división</WORD>
<WORD coords="594,1526,610,1498,1527">,</WORD>
<WORD coords="668,1514,744,1458,1514">de</WORD>
<WORD coords="800,1518,1008,1458,1516">donde</WORD>
<WORD coords="1052,1524,1278,1468,1520">resulta</WORD>
<WORD coords="1338,1526,1390,1472,1525">el</WORD>
<WORD coords="1452,1534,1726,1476,1530">cociente</WORD>
<WORD coords="1780,1536,1802,1490,1536">1</WORD>
<WORD coords="1862,1558,1902,1504,1552">y</WORD>
<WORD coords="1956,1546,2170,1488,1543">sobran</WORD>
<WORD coords="2230,1552,2252,1506,1552">i</WORD>
<WORD coords="2266,1562,2384,1512,1558">i56</WORD>
<WORD coords="2392,1560,2418,1506,1561">;</WORD>
<WORD coords="2462,1566,2518,1432,1566">¿</WORD>
<WORD coords="2526,1574,2564,1516,1574">h</WORD>
<WORD coords="2606,1474,2640,1434,1474">*</WORD>
</LINE>
<LINE>
<WORD coords="286,1610,352,1570,1610">»a</WORD>
<WORD coords="388,1622,400,1600,1631">,</WORD>
<WORD coords="434,1612,506,1578,1611">en</WORD>
<WORD coords="566,1618,674,1580,1616">vez</WORD>
<WORD coords="734,1622,814,1562,1621">de</WORD>
<WORD coords="860,1624,1076,1570,1622">añadir</WORD>
<WORD coords="1128,1630,1164,1574,1635">á</WORD>
<WORD coords="1210,1628,1264,1576,1628">la</WORD>
<WORD coords="1326,1634,1484,1590,1632">resta</WORD>
<WORD coords="1530,1642,1606,1600,1639">un</WORD>
<WORD coords="1658,1642,1800,1602,1640">cero</WORD>
<WORD coords="1832,1658,1848,1632,1657">,</WORD>
<WORD coords="1894,1656,2074,1592,1648">tacho</WORD>
<WORD coords="2120,1652,2172,1600,1652">el</WORD>
<WORD coords="2232,1676,2496,1616,1667">primero</WORD>
<WORD coords="2536,1688,2638,1626,1684">del</WORD>
</LINE>
<LINE>
<WORD coords="286,1726,570,1660,1716">divisor,</WORD>
<WORD coords="608,1728,910,1666,1724">tirándole</WORD>
<WORD coords="972,1732,1088,1694,1732">una</WORD>
<WORD coords="1138,1754,1332,1680,1736">rayita</WORD>
<WORD coords="1386,1740,1426,1682,1741">ó</WORD>
<WORD coords="1472,1758,1838,1688,1744">poniéndole</WORD>
<WORD coords="1874,1752,1952,1716,1752">un</WORD>
<WORD coords="2012,1776,2198,1716,1759">punto</WORD>
<WORD coords="2248,1770,2370,1714,1766">seb,</WORD>
</LINE>
<LINE>
<WORD coords="284,1842,528,1766,1823">ejecuto</WORD>
<WORD coords="574,1834,634,1774,1830">la</WORD>
<WORD coords="692,1836,964,1774,1833">división</WORD>
<WORD coords="1016,1840,1094,1782,1839">de</WORD>
<WORD coords="1136,1842,1194,1784,1841">la</WORD>
<WORD coords="1240,1846,1406,1798,1843">resta</WORD>
<WORD coords="1464,1866,1574,1812,1850">por</WORD>
<WORD coords="1628,1854,1684,1796,1853">el</WORD>
<WORD coords="1742,1862,1980,1800,1859">divisor</WORD>
<WORD coords="2036,1866,2146,1828,1865">con</WORD>
<WORD coords="2198,1872,2276,1834,1872">un</WORD>
<WORD coords="2320,1884,2460,1840,1880">cero</WORD>
<WORD coords="2514,1898,2638,1756,1892">m/</WORD>
</LINE>
<LINE>
<WORD coords="270,1948,442,1888,1929">»os^</WORD>
<WORD coords="490,1958,652,1876,1933">hago</WORD>
<WORD coords="708,1938,766,1882,1938">lo</WORD>
<WORD coords="814,1944,1038,1884,1941">mismo</WORD>
<WORD coords="1096,1950,1214,1910,1948">con</WORD>
<WORD coords="1270,1952,1358,1896,1949">la»</WORD>
<WORD coords="1418,1960,1632,1898,1957">demás</WORD>
<WORD coords="1692,1984,1930,1922,1965">restas,</WORD>
<WORD coords="1984,1992,2214,1934,1972">porque</WORD>
<WORD coords="2268,1990,2398,1940,1985">esto</WORD>
<WORD coords="2460,2002,2496,1960,2002">e</WORD>
<WORD coords="2498,1992,2532,1964,1992">„</WORD>
<WORD coords="2540,2006,2578,1968,2006">u</WORD>
<WORD coords="2580,2002,2638,1874,2002">i&quot;</WORD>
</LINE>
<LINE>
<WORD coords="280,2036,414,1982,2035">»aie</WORD>
<WORD coords="468,2038,494,1986,2038">i</WORD>
<WORD coords="544,2058,840,1988,2041">suprimir</WORD>
<WORD coords="884,2048,958,2010,2047">en</WORD>
<WORD coords="1004,2050,1060,1994,2050">el</WORD>
<WORD coords="1114,2060,1458,1996,2056">dividendo</WORD>
<WORD coords="1502,2084,1544,2028,2079">y</WORD>
<WORD coords="1608,2074,1846,2010,2070">divisor</WORD>
<WORD coords="1902,2076,1982,2040,2076">un</WORD>
<WORD coords="2034,2080,2176,2042,2078">cero</WORD>
<WORD coords="2236,2088,2274,2034,2088">ó</WORD>
<WORD coords="2336,2096,2364,2046,2096">á</WORD>
<WORD coords="2412,2114,2482,2064,2104">pa</WORD>
<WORD coords="2520,2020,2532,2000,2066">&apos;</WORD>
<WORD coords="2524,2112,2544,2068,2112">t</WORD>
</LINE>
<LINE>
<WORD coords="278,2140,370,2080,2139">&gt;os</WORD>
<WORD coords="416,2154,524,2104,2147">R„or</WORD>
<WORD coords="584,2162,688,2096,2154">JO,</WORD>
<WORD coords="748,2156,808,2092,2152">lo</WORD>
<WORD coords="860,2174,978,2116,2156">que</WORD>
<WORD coords="1024,2156,1106,2118,2156">no</WORD>
<WORD coords="1158,2168,1350,2106,2163">altera</WORD>
<WORD coords="1408,2168,1468,2114,2168">el</WORD>
<WORD coords="1536,2184,1842,2120,2177">cociente-</WORD>
<WORD coords="1934,2192,2020,2128,2188">£1</WORD>
<WORD coords="2070,2192,2144,2150,2190">CO</WORD>
<WORD coords="2150,2198,2312,2134,2193">cient</WORD>
<WORD coords="2318,2202,2348,2164,2202">e</WORD>
<WORD coords="2396,2210,2632,2076,2205">nrfií</WORD>
</LINE>
<LINE>
<WORD coords="280,2256,348,2210,2253">«6</WORD>
<WORD coords="408,2258,438,2202,2258">X</WORD>
<WORD coords="478,2272,494,2238,2267">,</WORD>
<WORD coords="528,2262,672,2198,2256">564,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="532,2368,1018,2302,2361">Demostración.</WORD>
<WORD coords="1110,2376,1244,2316,2375">Con</WORD>
<WORD coords="1290,2384,1514,2326,2380">añadir</WORD>
<WORD coords="1564,2388,1616,2328,2387">al</WORD>
<WORD coords="1686,2398,1954,2338,2393">termino</WORD>
<WORD coords="1998,2420,2128,2364,2404">&lt;,ue</WORD>
<WORD coords="2202,2416,2364,2354,2411">tiene</WORD>
<WORD coords="2418,2434,2640,2388,2430">meno%</WORD>
</LINE>
<LINE>
<WORD coords="274,2478,628,2422,2459">guansmos</WORD>
<WORD coords="688,2476,1024,2408,2471">decimales</WORD>
<WORD coords="1054,2492,1072,2462,2492">,</WORD>
<WORD coords="1116,2480,1210,2422,2478">los</WORD>
<WORD coords="1258,2488,1430,2444,2483">ceros</WORD>
<WORD coords="1488,2508,1606,2454,2492">que</WORD>
<WORD coords="1666,2496,1730,2458,2495">se</WORD>
<WORD coords="1792,2526,2278,2452,2507">necesítenlo</WORD>
<WORD coords="2324,2508,2346,2488,2508">*</WORD>
<WORD coords="2356,2524,2388,2488,2524">e</WORD>
<WORD coords="2440,2530,2464,2496,2530">a</WORD>
<WORD coords="2478,2516,2492,2482,2516">-</WORD>
<WORD coords="2500,2536,2554,2494,2535">tP</WORD>
</LINE>
<LINE>
<WORD coords="266,2592,470,2506,2578">fl37}</WORD>
<WORD coords="518,2570,586,2534,2569">su</WORD>
<WORD coords="646,2574,818,2518,2572">valor</WORD>
<WORD coords="850,2596,868,2540,2596">;</WORD>
<WORD coords="918,2600,962,2542,2597">y</WORD>
<WORD coords="1018,2584,1128,2546,2582">con</WORD>
<WORD coords="1188,2606,1486,2536,2591">suprimir</WORD>
<WORD coords="1544,2604,1598,2544,2601">Sa</WORD>
<WORD coords="1656,2608,1832,2564,2604">coma</WORD>
<WORD coords="1890,2612,1962,2574,2612">en</WORD>
<WORD coords="2038,2620,2248,2562,2618">ambos</WORD>
<WORD coords="2308,2638,2400,2580,2636">fet</WORD>
<WORD coords="2406,2646,2632,2504,2646">„J</WORD>
</LINE>
<LINE>
<WORD coords="274,2674,364,2618,2672">los</WORD>
<WORD coords="430,2702,914,2624,2683">multiplicamos</WORD>
<WORD coords="970,2716,1118,2638,2700">[138</WORD>
<WORD coords="1124,2718,1158,2640,2718">}</WORD>
<WORD coords="1214,2720,1322,2664,2702">por</WORD>
<WORD coords="1370,2706,1422,2652,2705">la</WORD>
<WORD coords="1472,2712,1702,2654,2709">unidad</WORD>
<WORD coords="1748,2738,2004,2664,2717">seguida</WORD>
<WORD coords="2060,2724,2134,2670,2724">de</WORD>
<WORD coords="2204,2738,2402,2682,2729">tanto,</WORD>
<WORD coords="2452,2754,2626,2710,2745">cero9</WORD>
<WORD coords="2612,2662,2628,2640,2662">&apos;</WORD>
</LINE>
<LINE>
<WORD coords="268,2790,454,2746,2782">«orno</WORD>
<WORD coords="532,2812,776,2736,2791">lugares</WORD>
<WORD coords="852,2800,926,2748,2800">ha</WORD>
<WORD coords="988,2808,1238,2748,2804">corrido</WORD>
<WORD coords="1294,2818,1428,2754,2814">ácia</WORD>
<WORD coords="1472,2822,1738,2756,2818">derecha</WORD>
<WORD coords="1770,2840,1792,2808,2833">,</WORD>
<WORD coords="1834,2826,1892,2768,2826">lo</WORD>
<WORD coords="1944,2848,2062,2792,2830">que</WORD>
<WORD coords="2108,2838,2166,2786,2838">te</WORD>
<WORD coords="2176,2856,2314,2798,2836">mpo</WORD>
<WORD coords="2322,2848,2394,2804,2848">fü</WORD>
<WORD coords="2440,2856,2628,2802,2853">aítera</WORD>
</LINE>
<LINE>
<WORD coords="270,2892,330,2836,2892">•1</WORD>
<WORD coords="386,2900,684,2840,2894">cociente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="362,3002,478,2948,3008">147</WORD>
<WORD coords="600,3012,852,2950,3006">Escolie.</WORD>
<WORD coords="914,3018,1068,2956,3013">Para</WORD>
<WORD coords="1114,3024,1350,2962,3020">dividir</WORD>
<WORD coords="1394,3028,1482,2970,3026">las</WORD>
<WORD coords="1536,3038,1870,2972,3033">decimales</WORD>
<WORD coords="1922,3050,2102,3002,3042">poras</WORD>
<WORD coords="2154,3050,2194,3010,3050">o</WORD>
<WORD coords="2254,3062,2464,3002,3055">mistas</WORD>
<WORD coords="2510,3080,2622,3030,3069">por</WORD>
</LINE>
<LINE>
<WORD coords="266,3106,324,3048,3106">la</WORD>
<WORD coords="384,3110,614,3054,3107">umdad</WORD>
<WORD coords="674,3136,934,3062,3114">seguida</WORD>
<WORD coords="980,3122,1056,3066,3121">de</WORD>
<WORD coords="1116,3128,1294,3088,3126">ceros</WORD>
<WORD coords="1328,3146,1346,3118,3140">,</WORD>
<WORD coords="1392,3134,1568,3094,3133">como</WORD>
<WORD coords="1648,3140,1726,3090,3137">10</WORD>
<WORD coords="1794,3162,1948,3094,3147">100,</WORD>
<WORD coords="2002,3152,2090,3090,3151">&amp;„</WORD>
<WORD coords="2122,3170,2142,3116,3163">j</WORD>
<WORD coords="2188,3144,2198,3120,3144">,</WORD>
<WORD coords="2204,3156,2262,3122,3154">1Q</WORD>
<WORD coords="2320,3162,2358,3104,3162">h</WORD>
<WORD coords="2380,3160,2392,3132,3161">,</WORD>
<WORD coords="2402,3166,2436,3130,3166">v</WORD>
<WORD coords="2488,3178,2616,3134,3174">mas</WORD>
</LINE>
<LINE>
<WORD coords="266,3230,386,3170,3212">que</WORD>
<WORD coords="442,3214,626,3154,3213">h.,:er</WORD>
<WORD coords="678,3224,780,3166,3221">ein</WORD>
<WORD coords="784,3220,818,3188,3220">o</WORD>
<WORD coords="876,3250,1058,3172,3227">[US]</WORD>
<WORD coords="1128,3240,1482,3184,3234">retroceder</WORD>
<WORD coords="1532,3242,1586,3188,3241">la</WORD>
<WORD coords="1656,3248,1830,3210,3246">coma</WORD>
<WORD coords="1876,3258,2082,3206,3254">tantos</WORD>
<WORD coords="2148,3284,2416,3172,3265">lugares&apos;</WORD>
<WORD coords="2448,3272,2472,3238,3272">a</WORD>
<WORD coords="2528,3280,2582,3224,3280">\z</WORD>
</LINE>
<LINE>
<WORD coords="264,3340,574,3264,3317">qu.erda,</WORD>
<WORD coords="626,3328,804,3288,3325">como</WORD>
<WORD coords="864,3334,1038,3296,3330">ceros</WORD>
<WORD coords="1092,3358,1256,3278,3339">h.ya</WORD>
<WORD coords="1312,3344,1420,3288,3342">des</WORD>
<WORD coords="1454,3348,1578,3312,3346">,ues</WORD>
<WORD coords="1630,3350,1706,3294,3350">de</WORD>
<WORD coords="1754,3354,1808,3298,3352">la</WORD>
<WORD coords="1870,3364,2102,3304,3358">unidad</WORD>
<WORD coords="2224,3370,2336,3316,3370">A,i</WORD>
<WORD coords="2398,3376,2472,3328,3367">8*&gt;</WORD>
<WORD coords="2578,3388,2616,3338,3388">7</WORD>
</LINE>
<LINE>
<WORD coords="266,3424,556,3366,3421">dividido</WORD>
<WORD coords="626,3448,736,3392,3431">por</WORD>
<WORD coords="784,3456,908,3386,3444">10,</WORD>
<WORD coords="950,3440,1016,3404,3440">es</WORD>
<WORD coords="1070,3466,1236,3388,3443">igual</WORD>
<WORD coords="1290,3448,1318,3412,3448">a</WORD>
<WORD coords="1362,3468,1584,3400,3452">8,2&quot;;</WORD>
<WORD coords="1634,3464,1924,3398,3458">dividido</WORD>
<WORD coords="1974,3486,2010,3428,3486">p</WORD>
<WORD coords="2016,3472,2052,3436,3472">u</WORD>
<WORD coords="2058,3468,2082,3432,3468">r</WORD>
<WORD coords="2132,3474,2292,3420,3472">1000</WORD>
<WORD coords="2332,3482,2396,3444,3481">es</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1032,3662,1352,3594,3656">Valuación</WORD>
<WORD coords="1390,3662,1462,3606,3662">de</WORD>
<WORD coords="1514,3672,1846,3610,3666">decimales.</WORD>
</LINE>
<LINE>
<WORD coords="316,3774,478,3720,3769">-148,</WORD>
<WORD coords="576,3782,904,3716,3776">Problema</WORD>
<WORD coords="950,3802,988,3744,3799">y</WORD>
<WORD coords="1036,3790,1384,3732,3786">resolución</WORD>
<WORD coords="1484,3796,1502,3762,3796">,</WORD>
<WORD coords="1530,3800,1644,3760,3796">ara</WORD>
<WORD coords="1700,3804,1916,3750,3802">valuar</WORD>
<WORD coords="1946,3814,2258,3752,3809">decimal</WORD>
<WORD coords="2288,3830,2304,3804,3825">,</WORD>
<WORD coords="2352,3820,2414,3786,3819">se</WORD>
<WORD coords="2448,3830,2598,3776,3827">muí-</WORD>
</LINE>
<LINE>
<WORD coords="252,3876,298,3822,3875">ti</WORD>
<WORD coords="328,3880,504,3824,3878">ncan</WORD>
<WORD coords="556,3886,720,3838,3883">estos</WORD>
<WORD coords="770,3904,878,3850,3886">por</WORD>
<WORD coords="920,3892,974,3838,3892">el</WORD>
<WORD coords="1032,3900,1302,3856,3897">.numero</WORD>
<WORD coords="1364,3902,1442,3850,3900">de</WORD>
<WORD coords="1510,3910,1688,3872,3908">veces</WORD>
<WORD coords="1748,3924,1864,3874,3916">que</WORD>
<WORD coords="1928,3916,1978,3862,3915">la</WORD>
<WORD coords="2034,3924,2266,3868,3921">unidad</WORD>
<WORD coords="2344,3936,2596,3870,3931">inferior</WORD>
</LINE>
<LINE>
<WORD coords="230,4002,324,3944,3981">.en</WORD>
<WORD coords="376,4004,406,3956,4004">H</WORD>
<WORD coords="418,3990,494,3952,3989">ue</WORD>
<WORD coords="552,3992,618,3956,3992">se</WORD>
<WORD coords="680,4012,894,3940,3994">quiere</WORD>
<WORD coords="956,4008,1170,3946,4003">valuar</WORD>
<WORD coords="1198,4020,1232,3994,4010">,.</WORD>
<WORD coords="1266,4008,1316,3972,4008">c¡</WORD>
<WORD coords="1316,4006,1326,3986,4008">,</WORD>
<WORD coords="1338,4010,1408,3954,4010">be</WORD>
<WORD coords="1464,4014,1532,3978,4014">en</WORD>
<WORD coords="1598,4020,1644,3962,4018">la</WORD>
<WORD coords="1700,4022,1930,3966,4019">unidad</WORD>
<WORD coords="1986,4026,2012,3974,4026">á</WORD>
<WORD coords="2070,4042,2186,3990,4028">que</WORD>
<WORD coords="2260,4028,2322,3994,4027">se</WORD>
<WORD coords="2386,4040,2556,3978,4034">r*ñer</WORD>
<WORD coords="2560,4042,2594,4002,4042">e</WORD>
</LINE>
<LINE>
<WORD coords="248,4086,304,4040,4086">«l</WORD>
<WORD coords="348,4098,610,4038,4094">decimal</WORD>
<WORD coords="640,4114,668,4064,4116">¿</WORD>
<WORD coords="726,4104,734,4062,4104">i</WORD>
<WORD coords="746,4108,814,4074,4104">ü3</WORD>
<WORD coords="888,4128,1238,4054,4110">guarismos</WORD>
<WORD coords="1290,4116,1394,4060,4116">ücl</WORD>
<WORD coords="1444,4140,1748,4070,4126">ptodu.to</WORD>
<WORD coords="1808,4150,1926,4092,4130">que</WORD>
<WORD coords="1978,4134,2148,4098,4133">uuu</WORD>
<WORD coords="2192,4134,2220,4096,4134">a</WORD>
<WORD coords="2268,4156,2594,4080,4139">i^uicaa</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0101.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0102.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0102.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="633,679,711,619,676">de</WORD>
<WORD coords="769,675,827,618,675">H</WORD>
<WORD coords="876,673,1054,633,672">coma</WORD>
<WORD coords="1109,673,1227,627,671">son</WORD>
<WORD coords="1296,669,1387,613,668">las</WORD>
<WORD coords="1446,670,1756,607,665">unidades</WORD>
<WORD coords="1818,668,2145,606,666">inferiores</WORD>
<WORD coords="2175,683,2191,654,680">,</WORD>
<WORD coords="2235,678,2276,627,672">y</WORD>
<WORD coords="2321,666,2415,608,664">los</WORD>
<WORD coords="2464,684,2589,625,666">que</WORD>
<WORD coords="2629,664,2801,615,662">están</WORD>
<WORD coords="2831,665,2864,606,666">á</WORD>
<WORD coords="2911,666,3022,603,665">de-</WORD>
</LINE>
<LINE>
<WORD coords="639,783,825,726,781">recha</WORD>
<WORD coords="893,779,1001,743,778">son</WORD>
<WORD coords="1049,798,1367,720,776">quebrado</WORD>
<WORD coords="1422,775,1691,715,772">dcimal</WORD>
<WORD coords="1727,772,1803,714,771">de</WORD>
<WORD coords="1862,773,2080,714,770">dichas</WORD>
<WORD coords="2137,774,2439,716,771">unidades</WORD>
<WORD coords="2495,774,2846,711,771">inferiores.</WORD>
<WORD coords="2903,771,3020,714,770">Es-</WORD>
</LINE>
<LINE>
<WORD coords="641,890,703,844,889">te</WORD>
<WORD coords="760,903,1077,830,885">qnebrado</WORD>
<WORD coords="1114,883,1381,826,881">decimal</WORD>
<WORD coords="1439,881,1503,844,881">se</WORD>
<WORD coords="1552,881,1774,825,878">vuelve</WORD>
<WORD coords="1816,882,1847,826,882">á</WORD>
<WORD coords="1908,898,2287,824,879">mu-tiplicar</WORD>
<WORD coords="2333,896,2441,840,877">por</WORD>
<WORD coords="2496,879,2553,822,877">ei</WORD>
<WORD coords="2618,879,2883,837,876">numero</WORD>
<WORD coords="2934,877,3018,820,876">de</WORD>
</LINE>
<LINE>
<WORD coords="643,994,951,935,990">unidades</WORD>
<WORD coords="1004,988,1334,932,986">inferiores</WORD>
<WORD coords="1391,987,1470,930,986">de</WORD>
<WORD coords="1518,1005,1637,949,985">que</WORD>
<WORD coords="1695,986,1908,942,984">consta</WORD>
<WORD coords="1954,985,2009,931,984">ia</WORD>
<WORD coords="2075,985,2310,928,983">unidad</WORD>
<WORD coords="2376,985,2674,928,983">anterior.</WORD>
<WORD coords="2765,983,2888,923,980">Asi</WORD>
<WORD coords="2943,982,3011,941,980">se</WORD>
</LINE>
<LINE>
<WORD coords="644,1102,934,1041,1097">Continúa</WORD>
<WORD coords="990,1096,1165,1039,1095">h^sta</WORD>
<WORD coords="1224,1095,1415,1037,1094">haber</WORD>
<WORD coords="1463,1092,1691,1036,1091">sacado</WORD>
<WORD coords="1761,1092,1850,1037,1091">las</WORD>
<WORD coords="1932,1094,2238,1034,1091">unidades</WORD>
<WORD coords="2294,1092,2621,1029,1090">inferiores</WORD>
<WORD coords="2683,1108,2806,1048,1087">que</WORD>
<WORD coords="2894,1085,3022,1044,1084">uno</WORD>
</LINE>
<LINE>
<WORD coords="645,1223,862,1150,1202">quiera</WORD>
<WORD coords="895,1217,910,1171,1217">;</WORD>
<WORD coords="961,1224,1000,1168,1213">y</WORD>
<WORD coords="1046,1203,1096,1149,1201">si</WORD>
<WORD coords="1161,1203,1278,1164,1201">aun</WORD>
<WORD coords="1319,1203,1483,1155,1199">resta</WORD>
<WORD coords="1532,1216,1855,1142,1198">quebrado</WORD>
<WORD coords="1901,1202,2165,1141,1197">decimal</WORD>
<WORD coords="2199,1210,2216,1183,1204">,</WORD>
<WORD coords="2255,1196,2320,1159,1195">se</WORD>
<WORD coords="2355,1213,2679,1139,1195">desprecia</WORD>
<WORD coords="2733,1196,2774,1139,1197">ó</WORD>
<WORD coords="2800,1210,3026,1152,1190">aproe-</WORD>
</LINE>
<LINE>
<WORD coords="653,1314,753,1257,1312">sin</WORD>
<WORD coords="781,1312,814,1277,1312">a</WORD>
<WORD coords="869,1327,984,1274,1311">por</WORD>
<WORD coords="1033,1323,1319,1252,1307">defecto,</WORD>
<WORD coords="1344,1306,1481,1249,1305">sino</WORD>
<WORD coords="1554,1326,1712,1248,1302">Hegí*</WORD>
<WORD coords="1757,1304,1787,1250,1304">á</WORD>
<WORD coords="1840,1305,1876,1255,1305">5</WORD>
<WORD coords="1922,1320,2239,1248,1302">décima?;</WORD>
<WORD coords="2285,1320,2323,1266,1311">y</WORD>
<WORD coords="2356,1302,2420,1265,1301">se</WORD>
<WORD coords="2465,1320,2707,1245,1301">aprecia</WORD>
<WORD coords="2740,1303,2780,1247,1303">ó</WORD>
<WORD coords="2808,1320,3028,1261,1300">aproo</WORD>
</LINE>
<LINE>
<WORD coords="648,1420,803,1363,1418">sinaa</WORD>
<WORD coords="866,1434,974,1380,1417">por</WORD>
<WORD coords="1024,1416,1242,1379,1415">ecceso</WORD>
<WORD coords="1284,1414,1636,1353,1412">añadiendo</WORD>
<WORD coords="1687,1413,1780,1356,1412">lá</WORD>
<WORD coords="1835,1412,1916,1357,1411">las</WORD>
<WORD coords="1966,1413,2271,1354,1411">unidades</WORD>
<WORD coords="2318,1411,2571,1349,1408">sacadas</WORD>
<WORD coords="2607,1424,2627,1396,1417">,</WORD>
<WORD coords="2685,1407,2739,1350,1407">si</WORD>
<WORD coords="2788,1426,2949,1349,1405">llega</WORD>
<WORD coords="2973,1408,3027,1345,1407">ti</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2462,1539,2679,1458,1506">(l.o)</WORD>
</LINE>
<LINE>
<WORD coords="2423,1640,2698,1569,1625">0,34</WORD>
<WORD coords="2813,1621,3030,1562,1619">FesoSé</WORD>
</LINE>
<LINE>
<WORD coords="2647,1724,2686,1675,1724">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="649,1552,798,1491,1528">pasa</WORD>
<WORD coords="843,1526,921,1473,1525">de</WORD>
<WORD coords="973,1524,1007,1476,1524">5</WORD>
<WORD coords="1054,1522,1361,1465,1521">décimas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="902,1651,1177,1573,1629">Ejemplo</WORD>
<WORD coords="1229,1630,1346,1571,1624">1.°</WORD>
<WORD coords="1457,1640,1698,1567,1626">Quiero</WORD>
<WORD coords="1740,1626,1917,1567,1625">saber</WORD>
<WORD coords="1966,1639,2173,1568,1625">loque</WORD>
</LINE>
<LINE>
<WORD coords="647,1743,827,1685,1739">valen</WORD>
<WORD coords="869,1737,943,1701,1737">en</WORD>
<WORD coords="991,1738,1289,1676,1734">monedas</WORD>
<WORD coords="1339,1736,1417,1676,1735">de</WORD>
<WORD coords="1463,1735,1776,1675,1733">comercio</WORD>
<WORD coords="1902,1751,1918,1719,1739">,</WORD>
<WORD coords="1963,1733,2042,1681,1733">34</WORD>
<WORD coords="2100,1734,2179,1675,1732">de</WORD>
</LINE>
<LINE>
<WORD coords="648,1869,798,1809,1847">peso</WORD>
<WORD coords="845,1847,1025,1789,1845">duro.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="901,1961,1268,1891,1948">Multiplico</WORD>
<WORD coords="1322,1948,1380,1891,1948">el</WORD>
<WORD coords="1433,1966,1755,1890,1947">quebrado</WORD>
<WORD coords="1800,1963,1912,1907,1943">por</WORD>
<WORD coords="1962,1947,1998,1895,1947">8</WORD>
<WORD coords="2054,1964,2175,1905,1946">que</WORD>
</LINE>
<LINE>
<WORD coords="646,2064,757,2023,2060">son</WORD>
<WORD coords="808,2060,901,2002,2059">los</WORD>
<WORD coords="957,2057,1152,2003,2056">reales</WORD>
<WORD coords="1194,2056,1273,2001,2056">de</WORD>
<WORD coords="1317,2074,1438,2018,2056">que</WORD>
<WORD coords="1478,2059,1687,2010,2055">consta</WORD>
<WORD coords="1734,2055,1814,2018,2055">un</WORD>
<WORD coords="1863,2071,2009,2017,2052">peso</WORD>
<WORD coords="2043,2067,2063,2042,2067">,</WORD>
<WORD coords="2126,2073,2169,2014,2073">y</WORD>
</LINE>
<LINE>
<WORD coords="642,2187,832,2122,2165">tengo</WORD>
<WORD coords="887,2165,923,2117,2165">2</WORD>
<WORD coords="959,2179,978,2152,2172">,</WORD>
<WORD coords="1026,2165,1102,2111,2164">72</WORD>
<WORD coords="1173,2164,1364,2109,2162">reales</WORD>
<WORD coords="1395,2183,1416,2130,2182">;</WORD>
<WORD coords="1468,2181,1812,2105,2160">multiplico</WORD>
<WORD coords="1874,2160,1929,2105,2159">el</WORD>
<WORD coords="2004,2160,2174,2102,2158">deci-</WORD>
</LINE>
<LINE>
<WORD coords="649,2273,775,2217,2272">mal</WORD>
<WORD coords="824,2274,898,2220,2273">72</WORD>
<WORD coords="948,2288,1065,2231,2269">por</WORD>
<WORD coords="1120,2269,1156,2220,2269">2</WORD>
<WORD coords="1194,2283,1212,2256,2283">,</WORD>
<WORD coords="1256,2288,1376,2232,2270">que</WORD>
<WORD coords="1439,2268,1551,2231,2267">son</WORD>
<WORD coords="1603,2270,1695,2214,2269">los</WORD>
<WORD coords="1754,2267,1995,2208,2265">medios</WORD>
<WORD coords="2053,2282,2174,2225,2267">que</WORD>
</LINE>
<LINE>
<WORD coords="648,2378,815,2322,2377">tiene</WORD>
<WORD coords="875,2379,957,2338,2378">un</WORD>
<WORD coords="1023,2377,1147,2321,2375">real</WORD>
<WORD coords="1170,2391,1187,2365,2391">,</WORD>
<WORD coords="1243,2398,1288,2337,2386">y</WORD>
<WORD coords="1328,2375,1384,2320,2374">ei</WORD>
<WORD coords="1443,2393,1747,2318,2374">producto</WORD>
<WORD coords="1811,2373,1879,2336,2372">es</WORD>
<WORD coords="1944,2374,1970,2323,2374">1</WORD>
<WORD coords="2003,2385,2020,2360,2380">,</WORD>
<WORD coords="2077,2373,2162,2320,2372">44</WORD>
</LINE>
<LINE>
<WORD coords="649,2484,895,2427,2480">medios.</WORD>
<WORD coords="987,2484,1194,2424,2482">Valúo</WORD>
<WORD coords="1250,2484,1305,2427,2483">el</WORD>
<WORD coords="1362,2502,1679,2426,2482">quebrado</WORD>
<WORD coords="1729,2482,1812,2430,2482">44</WORD>
<WORD coords="1865,2482,1941,2441,2480">en</WORD>
<WORD coords="1985,2480,2164,2439,2478">cuar-</WORD>
</LINE>
<LINE>
<WORD coords="649,2595,812,2539,2593">tillos</WORD>
<WORD coords="832,2609,850,2581,2609">%</WORD>
<WORD coords="904,2612,1432,2537,2593">multiplicándole</WORD>
<WORD coords="1489,2613,1601,2556,2592">por</WORD>
<WORD coords="1654,2595,1691,2544,2595">2</WORD>
<WORD coords="1751,2610,1871,2555,2593">que</WORD>
<WORD coords="1912,2592,2022,2552,2589">son</WORD>
<WORD coords="2068,2589,2163,2533,2588">los</WORD>
</LINE>
<LINE>
<WORD coords="652,2702,975,2643,2698">cuartillos</WORD>
<WORD coords="1025,2700,1103,2642,2699">de</WORD>
<WORD coords="1149,2718,1270,2662,2700">que</WORD>
<WORD coords="1331,2699,1395,2662,2699">se</WORD>
<WORD coords="1448,2714,1751,2661,2698">compone</WORD>
<WORD coords="1808,2698,1888,2661,2697">un</WORD>
<WORD coords="1962,2695,2148,2638,2694">medio</WORD>
<WORD coords="2165,2709,2184,2679,2709">f</WORD>
</LINE>
<LINE>
<WORD coords="650,2807,713,2750,2806">lo</WORD>
<WORD coords="744,2824,859,2770,2806">que</WORD>
<WORD coords="910,2807,1008,2769,2806">me</WORD>
<WORD coords="1055,2805,1133,2749,2805">da</WORD>
<WORD coords="1179,2806,1237,2750,2805">el</WORD>
<WORD coords="1288,2821,1596,2749,2804">producto</WORD>
<WORD coords="1659,2805,1704,2755,2805">O</WORD>
<WORD coords="1736,2816,1751,2794,2811">,</WORD>
<WORD coords="1808,2806,1884,2755,2805">88</WORD>
<WORD coords="1933,2820,2053,2765,2802">que</WORD>
<WORD coords="2120,2801,2199,2763,2800">no</WORD>
</LINE>
<LINE>
<WORD coords="655,2907,817,2831,2886">llega</WORD>
<WORD coords="883,2888,916,2832,2888">á</WORD>
<WORD coords="962,2888,1060,2850,2887">ser</WORD>
<WORD coords="1128,2888,1210,2850,2887">un</WORD>
<WORD coords="1271,2888,1555,2831,2885">cuartillo</WORD>
<WORD coords="1592,2900,1608,2855,2900">;</WORD>
<WORD coords="1684,2903,1831,2850,2884">pero</WORD>
<WORD coords="1879,2885,2060,2848,2883">como</WORD>
<WORD coords="2137,2883,2194,2827,2882">ei</WORD>
</LINE>
<LINE>
<WORD coords="656,2970,695,2920,2969">8</WORD>
<WORD coords="756,2969,1034,2913,2968">décimas</WORD>
<WORD coords="1080,2987,1227,2932,2968">pasa</WORD>
<WORD coords="1272,2970,1347,2913,2968">de</WORD>
<WORD coords="1410,2969,1446,2919,2969">5</WORD>
<WORD coords="1470,2982,1488,2956,2976">,</WORD>
<WORD coords="1519,2970,1848,2911,2967">considero</WORD>
<WORD coords="1901,2967,1958,2911,2965">el</WORD>
<WORD coords="2049,2983,2196,2927,2964">que-</WORD>
</LINE>
<LINE>
<WORD coords="653,3052,848,2995,3050">brado</WORD>
<WORD coords="889,3049,932,3002,3049">O</WORD>
<WORD coords="966,3060,981,3040,3055">,</WORD>
<WORD coords="1013,3051,1088,3001,3050">88</WORD>
<WORD coords="1137,3051,1314,3011,3049">como</WORD>
<WORD coords="1348,3050,1373,3001,3050">1</WORD>
<WORD coords="1416,3051,1716,2995,3049">cuartillo.</WORD>
<WORD coords="1778,3049,1930,2993,3048">Diré</WORD>
<WORD coords="1961,3062,1978,3034,3062">,</WORD>
<WORD coords="2021,3062,2201,3009,3045">pues,</WORD>
</LINE>
<LINE>
<WORD coords="652,3147,777,3094,3130">que</WORD>
<WORD coords="831,3139,1035,3081,3132">0,34</WORD>
<WORD coords="1099,3131,1174,3077,3131">de</WORD>
<WORD coords="1231,3148,1376,3095,3129">peso</WORD>
<WORD coords="1425,3131,1535,3095,3130">son</WORD>
<WORD coords="1595,3132,1630,3085,3132">2</WORD>
<WORD coords="1670,3132,1862,3076,3130">reales</WORD>
<WORD coords="1900,3142,1916,3118,3136">,</WORD>
<WORD coords="1979,3130,2004,3081,3130">1</WORD>
<WORD coords="2092,3128,2204,3090,3127">me-</WORD>
</LINE>
<LINE>
<WORD coords="654,3214,753,3158,3213">dio</WORD>
<WORD coords="783,3233,819,3175,3222">y</WORD>
<WORD coords="866,3212,889,3164,3212">1</WORD>
<WORD coords="929,3213,1207,3157,3210">cuartillo</WORD>
<WORD coords="1239,3226,1255,3202,3226">,</WORD>
<WORD coords="1286,3228,1762,3158,3211">aprocsimando</WORD>
<WORD coords="1792,3231,1902,3174,3210">por</WORD>
<WORD coords="1963,3210,2199,3174,3209">ecceso.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="906,3313,1174,3236,3292">Ejemplo</WORD>
<WORD coords="1223,3294,1277,3248,3293">2.</WORD>
<WORD coords="1306,3273,1339,3241,3283">°</WORD>
<WORD coords="1465,3308,1481,3283,3297">,</WORD>
<WORD coords="1508,3295,1629,3243,3294">412</WORD>
<WORD coords="1663,3294,1739,3240,3294">de</WORD>
<WORD coords="1782,3294,2023,3236,3291">Arruba</WORD>
<WORD coords="2078,3291,2211,3237,3289">vale</WORD>
</LINE>
<LINE>
<WORD coords="659,3377,743,3325,3374">10</WORD>
<WORD coords="793,3373,981,3316,3372">libras</WORD>
<WORD coords="1014,3396,1035,3360,3385">,</WORD>
<WORD coords="1090,3375,1131,3324,3375">4</WORD>
<WORD coords="1178,3378,1365,3338,3375">onzas</WORD>
<WORD coords="1399,3391,1416,3365,3383">,</WORD>
<WORD coords="1495,3376,1568,3328,3376">12</WORD>
<WORD coords="1626,3377,1901,3320,3374">adarmes</WORD>
<WORD coords="1932,3385,1947,3361,3380">,</WORD>
<WORD coords="2002,3375,2037,3328,3374">2</WORD>
<WORD coords="2123,3373,2209,3327,3372">to-</WORD>
</LINE>
<LINE>
<WORD coords="655,3458,849,3403,3454">mines</WORD>
<WORD coords="882,3468,898,3443,3468">,</WORD>
<WORD coords="931,3471,1169,3404,3454">aprocsi</WORD>
<WORD coords="1183,3457,1409,3401,3455">mando</WORD>
<WORD coords="1457,3474,1566,3419,3456">por</WORD>
<WORD coords="1613,3458,1861,3399,3454">defacto</WORD>
<WORD coords="1978,3457,2055,3400,3455">Se</WORD>
<WORD coords="2113,3453,2220,3399,3453">ad-</WORD>
</LINE>
<LINE>
<WORD coords="656,3537,855,3484,3535">vierte</WORD>
<WORD coords="890,3549,908,3523,3549">,</WORD>
<WORD coords="957,3551,1075,3501,3536">que</WORD>
<WORD coords="1125,3537,1179,3484,3536">al</WORD>
<WORD coords="1235,3538,1501,3483,3536">decimal</WORD>
<WORD coords="1556,3538,1671,3489,3538">300</WORD>
<WORD coords="1722,3558,1838,3503,3538">que</WORD>
<WORD coords="1923,3552,2208,3497,3536">acompa-</WORD>
</LINE>
<LINE>
<WORD coords="657,3620,741,3567,3617">ña</WORD>
<WORD coords="781,3618,811,3563,3618">á</WORD>
<WORD coords="889,3616,962,3567,3616">10</WORD>
<WORD coords="1019,3620,1202,3563,3617">libras</WORD>
<WORD coords="1255,3620,1319,3583,3618">se</WORD>
<WORD coords="1377,3619,1431,3568,3618">le</WORD>
<WORD coords="1484,3621,1708,3563,3619">borran</WORD>
<WORD coords="1772,3620,1860,3566,3619">los</WORD>
<WORD coords="1910,3621,2024,3566,3619">dos</WORD>
<WORD coords="2106,3619,2205,3580,3618">ce-</WORD>
</LINE>
<LINE>
<WORD coords="657,3705,763,3663,3702">ios</WORD>
<WORD coords="801,3717,820,3686,3709">,</WORD>
<WORD coords="863,3698,923,3642,3698">lo</WORD>
<WORD coords="972,3717,1087,3663,3700">que</WORD>
<WORD coords="1146,3704,1228,3664,3702">no</WORD>
<WORD coords="1272,3702,1329,3645,3701">le</WORD>
<WORD coords="1384,3703,1580,3647,3701">altera</WORD>
<WORD coords="1638,3724,1868,3646,3709">(137).</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="936,3867,1402,3803,3864">NUMEROS</WORD>
<WORD coords="1457,3866,2199,3804,3864">DENOMINADO?.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2427,1958,2696,1888,1943">2,72</WORD>
<WORD coords="2782,1940,3028,1880,1938">Reale*»</WORD>
</LINE>
<LINE>
<WORD coords="2651,2046,2689,1998,2046">2</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2431,2276,2696,2205,2265">1,44</WORD>
<WORD coords="2767,2269,3027,2201,2264">Medios.</WORD>
</LINE>
<LINE>
<WORD coords="2654,2367,2692,2317,2367">2</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2457,2593,2523,2534,2584">O,</WORD>
<WORD coords="2572,2582,2606,2533,2581">8</WORD>
<WORD coords="2654,2580,2688,2531,2580">8</WORD>
<WORD coords="2757,2586,3022,2519,2579">Cuartil.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2477,2707,2570,2640,2697">(2.</WORD>
<WORD coords="2597,2668,2628,2633,2668">C</WORD>
<WORD coords="2661,2703,2690,2635,2703">)</WORD>
</LINE>
<LINE>
<WORD coords="2364,2815,2718,2744,2798">0,412</WORD>
<WORD coords="2767,2794,3027,2731,2792">Arrobs.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2612,2875,2645,2831,2875">2</WORD>
<WORD coords="2693,2875,2728,2827,2875">5</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2453,3041,2488,2994,3040">2</WORD>
<WORD coords="2620,3041,2656,2990,3039">6</WORD>
</LINE>
<LINE>
<WORD coords="2459,3122,2494,3073,3122">8</WORD>
<WORD coords="2542,3124,2577,3075,3123">2</WORD>
<WORD coords="2623,3123,2664,3074,3123">4</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2387,3288,2413,3246,3288">l</WORD>
<WORD coords="2463,3293,2592,3235,3286">0,3</WORD>
<WORD coords="2637,3281,2679,3235,3281">O</WORD>
<WORD coords="2809,3289,3016,3228,3286">Librs.</WORD>
</LINE>
<LINE>
<WORD coords="2553,3364,2576,3317,3364">1</WORD>
<WORD coords="2629,3363,2668,3313,3363">6</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2543,3527,2585,3482,3535">4</WORD>
<WORD coords="2605,3543,2620,3516,3528">,</WORD>
<WORD coords="2641,3528,2677,3480,3531">8</WORD>
<WORD coords="2810,3533,2964,3469,3529">Onz*</WORD>
</LINE>
<LINE>
<WORD coords="2647,3608,2670,3561,3608">i</WORD>
<WORD coords="2724,3609,2765,3557,3609">6</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2580,3772,2607,3726,3772">l</WORD>
<WORD coords="2660,3785,2772,3723,3775">2,8</WORD>
<WORD coords="2825,3773,3003,3712,3770">idar.</WORD>
</LINE>
<LINE>
<WORD coords="2743,3850,2778,3803,3850">3</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="747,4035,883,3980,4034">149.</WORD>
<WORD coords="976,4032,1277,3971,4030">Números</WORD>
<WORD coords="1323,4053,1637,3973,4030">complejos</WORD>
<WORD coords="1685,4028,1715,3992,4028">c</WORD>
<WORD coords="1769,4036,2192,3969,4031">denominados</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2624,4038,2765,3969,4025">2,4</WORD>
<WORD coords="2817,4020,3022,3959,4019">Tomu</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0102.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0103.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0103.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1320,572,1466,488,572">93</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="202,672,314,630,671">aon</WORD>
<WORD coords="344,696,606,614,674">aquellos</WORD>
<WORD coords="648,702,764,636,678">que</WORD>
<WORD coords="792,702,1186,632,679">representan</WORD>
<WORD coords="1230,710,1560,630,689">diferentes</WORD>
<WORD coords="1608,700,1898,642,698">unidades</WORD>
<WORD coords="1942,730,2268,644,713">inferifrek</WORD>
<WORD coords="2290,732,2304,706,727">,</WORD>
<WORD coords="2360,722,2568,662,718">refati.</WORD>
</LINE>
<LINE>
<WORD coords="202,780,316,736,777">vas</WORD>
<WORD coords="362,778,534,724,777">todas</WORD>
<WORD coords="564,782,600,746,782">a</WORD>
<WORD coords="632,784,752,744,783">una</WORD>
<WORD coords="780,788,908,734,786">sola</WORD>
<WORD coords="950,790,1184,736,788">utudad</WORD>
<WORD coords="1204,790,1234,754,790">o</WORD>
<WORD coords="1268,796,1422,740,793">todo.</WORD>
<WORD coords="1474,800,1594,744,799">Asi</WORD>
<WORD coords="1628,804,1736,766,802">son</WORD>
<WORD coords="1784,806,1818,756,806">3</WORD>
<WORD coords="1848,812,2084,768,810">cua.Us</WORD>
<WORD coords="2114,830,2130,804,823">,</WORD>
<WORD coords="2162,816,2196,772,816">5</WORD>
<WORD coords="2230,830,2494,754,825">¿chavos</WORD>
<WORD coords="2522,850,2566,792,850">y</WORD>
</LINE>
<LINE>
<WORD coords="200,882,244,830,894">4</WORD>
<WORD coords="300,904,596,830,884">pulgadas</WORD>
<WORD coords="656,890,732,834,889">de</WORD>
<WORD coords="786,904,964,854,890">vara,</WORD>
<WORD coords="1030,896,1104,856,895">en</WORD>
<WORD coords="1152,900,1354,840,897">donde</WORD>
<WORD coords="1414,902,1478,866,901">se</WORD>
<WORD coords="1530,906,1604,870,905">ve</WORD>
<WORD coords="1678,924,1794,874,912">que</WORD>
<WORD coords="1852,920,2018,872,917">estos</WORD>
<WORD coords="2086,924,2212,878,920">tres</WORD>
<WORD coords="2266,934,2558,890,929">numero»</WORD>
</LINE>
<LINE>
<WORD coords="196,1004,488,946,986">espresan</WORD>
<WORD coords="540,998,844,938,995">unidades</WORD>
<WORD coords="886,1008,1214,940,1001">inferiores</WORD>
<WORD coords="1248,1004,1284,950,1008">ó</WORD>
<WORD coords="1320,1026,1520,962,1008">paites</WORD>
<WORD coords="1552,1020,1888,954,1016">diferentes</WORD>
<WORD coords="1920,1024,1998,968,1024">de</WORD>
<WORD coords="2044,1026,2100,974,1026">la</WORD>
<WORD coords="2140,1054,2396,976,1033">unidad,</WORD>
<WORD coords="2430,1058,2554,1002,1041">que</WORD>
</LINE>
<LINE>
<WORD coords="192,1094,264,1054,1094">es</WORD>
<WORD coords="306,1094,364,1038,1094">la</WORD>
<WORD coords="398,1100,564,1060,1098">vara.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="448,1210,578,1154,1208">Los</WORD>
<WORD coords="624,1218,916,1174,1217">números</WORD>
<WORD coords="966,1230,1414,1164,1225">denominados</WORD>
<WORD coords="1454,1234,1530,1194,1233">en</WORD>
<WORD coords="1576,1236,1630,1176,1234">la</WORD>
<WORD coords="1692,1244,1962,1184,1240">realidad</WORD>
<WORD coords="2000,1246,2076,1208,1245">no</WORD>
<WORD coords="2120,1248,2230,1208,1246">sen</WORD>
<WORD coords="2264,1252,2394,1216,1252">mas</WORD>
<WORD coords="2426,1274,2548,1218,1257">que</WORD>
</LINE>
<LINE>
<WORD coords="192,1314,350,1270,1313">Unos</WORD>
<WORD coords="394,1342,790,1262,1320">quebrados,</WORD>
<WORD coords="838,1350,1028,1290,1330">cuyos</WORD>
<WORD coords="1086,1346,1606,1278,1339">denominadores</WORD>
<WORD coords="1650,1348,1714,1310,1347">se</WORD>
<WORD coords="1762,1354,2040,1296,1352">escriban</WORD>
<WORD coords="2086,1356,2198,1318,1353">con</WORD>
<WORD coords="2256,1360,2438,1304,1358">letras</WORD>
<WORD coords="2468,1364,2546,1324,1363">en</WORD>
</LINE>
<LINE>
<WORD coords="190,1422,316,1378,1420">vez</WORD>
<WORD coords="362,1426,440,1366,1425">de</WORD>
<WORD coords="498,1434,824,1374,1428">escribirse</WORD>
<WORD coords="880,1436,994,1398,1436">con</WORD>
<WORD coords="1042,1460,1400,1386,1443">guarismos</WORD>
<WORD coords="1436,1462,1456,1414,1455">;</WORD>
<WORD coords="1512,1448,1550,1394,1448">ó</WORD>
<WORD coords="1616,1474,1808,1414,1453">cuyos</WORD>
<WORD coords="1888,1464,2404,1404,1461">denominadores</WORD>
<WORD coords="2482,1470,2550,1428,1468">se</WORD>
</LINE>
<LINE>
<WORD coords="190,1542,480,1488,1528">espresan</WORD>
<WORD coords="540,1534,656,1494,1532">con</WORD>
<WORD coords="712,1558,890,1484,1539">aquel</WORD>
<WORD coords="944,1550,1198,1490,1546">nombre</WORD>
<WORD coords="1246,1570,1364,1514,1554">que</WORD>
<WORD coords="1422,1558,1550,1500,1554">está</WORD>
<WORD coords="1620,1568,1898,1506,1561">recibido</WORD>
<WORD coords="1954,1566,2028,1530,1566">en</WORD>
<WORD coords="2078,1570,2136,1516,1569">el</WORD>
<WORD coords="2198,1576,2536,1516,1572">comercio.</WORD>
</LINE>
<LINE>
<WORD coords="186,1636,310,1578,1634">Asi</WORD>
<WORD coords="364,1636,438,1600,1636">en</WORD>
<WORD coords="496,1642,614,1602,1639">vez</WORD>
<WORD coords="662,1644,740,1588,1643">de</WORD>
<WORD coords="800,1650,1054,1592,1647">escribir</WORD>
<WORD coords="1104,1674,1142,1614,1667">y</WORD>
<WORD coords="1188,1658,1316,1598,1656">leer</WORD>
<WORD coords="1364,1698,1416,1608,1674">3_</WORD>
<WORD coords="1458,1666,1536,1604,1664">de</WORD>
<WORD coords="1584,1684,1730,1628,1666">peso</WORD>
<WORD coords="1758,1686,1776,1654,1681">,</WORD>
<WORD coords="1808,1676,2168,1616,1672">escribimos</WORD>
<WORD coords="2208,1696,2250,1640,1690">y</WORD>
<WORD coords="2306,1684,2536,1630,1679">leemos</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1364,1768,1400,1720,1768">8</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="182,1822,222,1768,1835">3</WORD>
<WORD coords="282,1828,472,1766,1825">reales</WORD>
<WORD coords="500,1842,516,1794,1845">;</WORD>
<WORD coords="568,1830,644,1790,1829">en</WORD>
<WORD coords="676,1854,858,1776,1832">lugar</WORD>
<WORD coords="888,1838,966,1778,1837">de</WORD>
<WORD coords="1022,1844,1280,1784,1841">escribir</WORD>
<WORD coords="1334,1870,1376,1810,1863">y</WORD>
<WORD coords="1432,1856,1724,1796,1854">enunciar</WORD>
<WORD coords="1774,1856,1810,1806,1856">3</WORD>
<WORD coords="1858,1860,1936,1800,1860">de</WORD>
<WORD coords="2006,1862,2032,1812,1861">1</WORD>
<WORD coords="2094,1882,2280,1826,1865">vara,</WORD>
<WORD coords="2340,1874,2532,1812,1869">escr¡.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="176,2016,384,1964,2014">bimos</WORD>
<WORD coords="440,2038,482,1980,2038">y</WORD>
<WORD coords="540,2026,938,1982,2022">enunciamos</WORD>
<WORD coords="980,2026,1016,1974,2032">3</WORD>
<WORD coords="1062,2034,1310,1984,2031">cuartas</WORD>
<WORD coords="1362,2038,1436,1980,2038">de</WORD>
<WORD coords="1484,2044,1656,2000,2040">vara.</WORD>
<WORD coords="1762,2048,1920,1990,2046">Pero</WORD>
<WORD coords="1972,2050,2038,2010,2049">se</WORD>
<WORD coords="2092,2056,2248,1994,2053">debe</WORD>
<WORD coords="2304,2062,2526,2000,2060">adver-</WORD>
</LINE>
<LINE>
<WORD coords="174,2140,454,2064,2121">tir,que</WORD>
<WORD coords="510,2148,752,2088,2128">aunque</WORD>
<WORD coords="802,2132,876,2092,2131">en</WORD>
<WORD coords="926,2142,1232,2078,2137">abstracto</WORD>
<WORD coords="1310,2146,1490,2088,2143">todos</WORD>
<WORD coords="1562,2150,1652,2092,2148">los</WORD>
<WORD coords="1712,2170,2058,2098,2153">quebrados</WORD>
<WORD coords="2130,2182,2364,2102,2162">iguales</WORD>
<WORD coords="2410,2172,2528,2130,2168">son</WORD>
</LINE>
<LINE>
<WORD coords="172,2248,550,2172,2228">semejantes</WORD>
<WORD coords="578,2248,596,2220,2250">,</WORD>
<WORD coords="644,2234,724,2196,2234">no</WORD>
<WORD coords="782,2244,1010,2184,2241">sucede</WORD>
<WORD coords="1062,2244,1124,2190,2243">lo</WORD>
<WORD coords="1168,2250,1390,2192,2248">mismo</WORD>
<WORD coords="1446,2252,1520,2216,2252">en</WORD>
<WORD coords="1572,2258,1844,2214,2256">concreto</WORD>
<WORD coords="1878,2244,1892,2230,2248">•</WORD>
<WORD coords="1942,2262,2028,2206,2262">asi</WORD>
<WORD coords="2082,2266,2158,2228,2265">en</WORD>
<WORD coords="2214,2278,2522,2216,2274">abstracto</WORD>
</LINE>
<LINE>
<WORD coords="174,2334,204,2282,2346">1</WORD>
<WORD coords="268,2336,474,2276,2334">medio</WORD>
<WORD coords="526,2340,594,2302,2340">es</WORD>
<WORD coords="650,2362,820,2284,2342">igual</WORD>
<WORD coords="872,2366,916,2308,2366">y</WORD>
<WORD coords="968,2374,1306,2296,2351">semejante</WORD>
<WORD coords="1366,2356,1396,2302,2357">á</WORD>
<WORD coords="1446,2360,1524,2322,2359">un</WORD>
<WORD coords="1580,2382,1830,2304,2361">medio;</WORD>
<WORD coords="1892,2382,2036,2330,2368">pero</WORD>
<WORD coords="2090,2374,2164,2336,2374">en</WORD>
<WORD coords="2232,2384,2520,2322,2380">concreto</WORD>
</LINE>
<LINE>
<WORD coords="164,2438,246,2398,2437">un</WORD>
<WORD coords="304,2444,512,2384,2441">medio</WORD>
<WORD coords="554,2462,702,2408,2447">peso</WORD>
<WORD coords="758,2452,838,2408,2451">no</WORD>
<WORD coords="892,2454,962,2416,2454">es</WORD>
<WORD coords="1006,2478,1172,2398,2457">igual</WORD>
<WORD coords="1226,2460,1286,2404,2460">ni</WORD>
<WORD coords="1334,2488,1674,2408,2465">semejante</WORD>
<WORD coords="1712,2470,1744,2420,2470">á</WORD>
<WORD coords="1798,2472,1878,2434,2472">un</WORD>
<WORD coords="1940,2480,2148,2422,2476">medio</WORD>
<WORD coords="2188,2484,2308,2428,2482">año</WORD>
<WORD coords="2336,2500,2354,2474,2495">,</WORD>
<WORD coords="2384,2490,2516,2450,2488">me-</WORD>
</LINE>
<LINE>
<WORD coords="158,2546,262,2488,2546">dia</WORD>
<WORD coords="322,2568,516,2510,2549">vara,</WORD>
<WORD coords="542,2556,744,2498,2554">media</WORD>
<WORD coords="796,2580,994,2502,2559">legua.</WORD>
<WORD coords="1086,2588,1306,2508,2566">Lu-go</WORD>
<WORD coords="1360,2570,1426,2534,2569">es</WORD>
<WORD coords="1486,2594,1944,2516,2574">indispensable</WORD>
<WORD coords="2004,2600,2122,2544,2585">que</WORD>
<WORD coords="2176,2588,2268,2530,2586">los</WORD>
<WORD coords="2320,2592,2510,2534,2591">deno.</WORD>
</LINE>
<LINE>
<WORD coords="156,2656,440,2598,2653">minados</WORD>
<WORD coords="482,2658,546,2622,2658">se</WORD>
<WORD coords="592,2666,846,2606,2662">refieran</WORD>
<WORD coords="904,2666,932,2614,2671">á</WORD>
<WORD coords="976,2670,1094,2632,2669">una</WORD>
<WORD coords="1140,2676,1270,2618,2674">sola</WORD>
<WORD coords="1326,2680,1560,2620,2679">unidad</WORD>
<WORD coords="1586,2700,1604,2666,2684">,</WORD>
<WORD coords="1658,2684,1718,2644,2684">v.</WORD>
<WORD coords="1776,2708,1836,2650,2699">g.</WORD>
<WORD coords="1870,2704,1888,2674,2698">,</WORD>
<WORD coords="1934,2692,2008,2632,2691">de</WORD>
<WORD coords="2058,2712,2204,2654,2694">peso</WORD>
<WORD coords="2236,2712,2256,2680,2705">,</WORD>
<WORD coords="2296,2698,2376,2640,2698">de</WORD>
<WORD coords="2406,2704,2508,2662,2703">es-</WORD>
</LINE>
<LINE>
<WORD coords="146,2782,444,2704,2761">tensión,</WORD>
<WORD coords="490,2766,568,2708,2765">de</WORD>
<WORD coords="606,2788,880,2712,2769">tiempo,</WORD>
<WORD coords="928,2778,1042,2718,2776">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="762,2906,1042,2844,2903">Medidas</WORD>
<WORD coords="1094,2916,1342,2852,2912">lineales</WORD>
<WORD coords="1406,2920,1438,2878,2920">o</WORD>
<WORD coords="1484,2922,1558,2862,2921">de</WORD>
<WORD coords="1588,2946,1886,2864,2926">longitud.</WORD>
</LINE>
<LINE>
<WORD coords="396,3030,544,2970,3030">Una</WORD>
<WORD coords="590,3052,812,2974,3031">legua,</WORD>
<WORD coords="870,3058,1062,3002,3039">según</WORD>
<WORD coords="1122,3048,1242,2992,3046">real</WORD>
<WORD coords="1286,3052,1480,2994,3051">orden</WORD>
<WORD coords="1530,3056,1606,2998,3055">de</WORD>
<WORD coords="1670,3062,1818,3008,3060">1801</WORD>
<WORD coords="1900,3086,1948,3012,3064">(</WORD>
<WORD coords="1960,3072,2232,3006,3065">Dicción,</WORD>
<WORD coords="2290,3072,2362,3016,3072">de</WORD>
<WORD coords="2430,3078,2492,3020,3078">la</WORD>
</LINE>
<LINE>
<WORD coords="140,3132,328,3072,3129">Arad.</WORD>
<WORD coords="390,3156,596,3076,3140">Esp.J</WORD>
<WORD coords="626,3152,638,3128,3153">,</WORD>
<WORD coords="670,3142,830,3088,3140">tiene</WORD>
<WORD coords="892,3148,1096,3098,3148">20000</WORD>
<WORD coords="1142,3168,1268,3098,3152">pies</WORD>
<WORD coords="1330,3156,1364,3102,3156">ó</WORD>
<WORD coords="1420,3158,1584,3104,3157">6666</WORD>
<WORD coords="1648,3164,1820,3126,3162">varas</WORD>
<WORD coords="1868,3188,1904,3130,3179">y</WORD>
<WORD coords="1962,3170,1994,3124,3170">2</WORD>
<WORD coords="2042,3176,2284,3116,3172">tercias.</WORD>
<WORD coords="2342,3186,2486,3122,3182">Una</WORD>
</LINE>
<LINE>
<WORD coords="136,3236,294,3194,3234">vara</WORD>
<WORD coords="342,3242,504,3186,3239">tiene</WORD>
<WORD coords="558,3244,592,3194,3252">3</WORD>
<WORD coords="638,3266,772,3200,3247">pies</WORD>
<WORD coords="828,3250,860,3210,3250">o</WORD>
<WORD coords="910,3258,1154,3200,3252">tercias.</WORD>
<WORD coords="1254,3264,1356,3204,3262">Un</WORD>
<WORD coords="1404,3286,1512,3218,3264">p,e</WORD>
<WORD coords="1562,3268,1722,3212,3267">tiene</WORD>
<WORD coords="1780,3274,1848,3222,3273">12</WORD>
<WORD coords="1914,3300,2220,3222,3280">pulgadas</WORD>
<WORD coords="2338,3292,2480,3228,3289">Una</WORD>
</LINE>
<LINE>
<WORD coords="130,3358,400,3288,3340">pulgada</WORD>
<WORD coords="454,3348,524,3300,3354">12</WORD>
<WORD coords="580,3354,788,3294,3351">lineas,</WORD>
<WORD coords="880,3364,1184,3296,3361">También</WORD>
<WORD coords="1234,3368,1286,3312,3366">la</WORD>
<WORD coords="1328,3370,1468,3332,3367">vara</WORD>
<WORD coords="1522,3376,1682,3316,3372">tiene</WORD>
<WORD coords="1738,3378,1780,3324,3378">4</WORD>
<WORD coords="1822,3384,2062,3338,3382">cuartas</WORD>
<WORD coords="2122,3388,2160,3330,3388">ó</WORD>
<WORD coords="2222,3402,2454,3336,3391">palmos</WORD>
</LINE>
<LINE>
<WORD coords="124,3444,162,3394,3459">8</WORD>
<WORD coords="210,3450,474,3390,3447">ochavas</WORD>
<WORD coords="514,3468,532,3442,3471">,</WORD>
<WORD coords="590,3456,628,3402,3465">6</WORD>
<WORD coords="682,3462,914,3422,3459">sesmas</WORD>
<WORD coords="966,3468,1078,3410,3464">&amp;c.</WORD>
<WORD coords="1170,3474,1262,3414,3473">La</WORD>
<WORD coords="1322,3480,1524,3418,3477">B,aza</WORD>
<WORD coords="1582,3484,1744,3424,3481">tiene</WORD>
<WORD coords="1796,3486,1834,3440,3486">2</WORD>
<WORD coords="1894,3496,2094,3450,3491">varas.</WORD>
<WORD coords="2178,3500,2276,3438,3499">La</WORD>
<WORD coords="2326,3508,2472,3462,3505">vara</WORD>
</LINE>
<LINE>
<WORD coords="120,3570,242,3512,3553">que</WORD>
<WORD coords="294,3558,406,3516,3556">nos</WORD>
<WORD coords="462,3582,576,3504,3558">rije</WORD>
<WORD coords="636,3564,700,3528,3563">es</WORD>
<WORD coords="762,3566,812,3516,3565">la</WORD>
<WORD coords="866,3570,942,3514,3569">de</WORD>
<WORD coords="990,3598,1256,3516,3574">Burgos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="618,3702,902,3638,3698">Medidas</WORD>
<WORD coords="946,3726,1240,3656,3706">agrarias</WORD>
<WORD coords="1288,3714,1318,3674,3714">o</WORD>
<WORD coords="1376,3714,1446,3658,3714">de</WORD>
<WORD coords="1478,3740,1964,3660,3722">Agrimensores.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="368,3826,528,3762,3822">Vara</WORD>
<WORD coords="576,3834,882,3774,3830">cuadrada</WORD>
<WORD coords="936,3838,1004,3802,3837">es</WORD>
<WORD coords="1036,3840,1116,3804,3840">un</WORD>
<WORD coords="1176,3858,1350,3788,3842">plano</WORD>
<WORD coords="1398,3854,1710,3794,3850">cuadrado</WORD>
<WORD coords="1740,3870,1758,3842,3870">,</WORD>
<WORD coords="1816,3878,1934,3818,3859">que</WORD>
<WORD coords="1986,3868,2148,3804,3863">tiene</WORD>
<WORD coords="2192,3870,2308,3830,3868">una</WORD>
<WORD coords="2348,3872,2456,3830,3870">va-</WORD>
</LINE>
<LINE>
<WORD coords="108,3922,178,3878,3921">ra</WORD>
<WORD coords="214,3926,288,3886,3925">en</WORD>
<WORD coords="344,3930,496,3872,3927">cada</WORD>
<WORD coords="556,3934,676,3898,3932">uno</WORD>
<WORD coords="724,3938,800,3882,3936">de</WORD>
<WORD coords="860,3948,964,3904,3942">sus</WORD>
<WORD coords="1028,3946,1238,3904,3945">cuatro</WORD>
<WORD coords="1294,3956,1488,3896,3950">lados.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="354,4038,462,3976,4037">Un</WORD>
<WORD coords="504,4064,666,3982,4042">Topo</WORD>
<WORD coords="716,4046,792,4006,4045">en</WORD>
<WORD coords="842,4046,900,3992,4046">el</WORD>
<WORD coords="958,4072,1318,3992,4055">desarmen</WORD>
<WORD coords="1352,4052,1358,4024,4057">,</WORD>
<WORD coords="1420,4064,1520,4004,4062">del</WORD>
<WORD coords="1558,4072,1774,4010,4070">Cuzco</WORD>
<WORD coords="1826,4074,1894,4034,4074">es</WORD>
<WORD coords="1940,4078,2022,4038,4078">un</WORD>
<WORD coords="2074,4102,2450,4022,4078">rectángulo,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1268,4180,1368,4108,4179">25</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0103.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0104.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0104.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1822,536,1966,442,533">94</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="714,662,757,623,662">©</WORD>
<WORD coords="815,678,1230,600,657">cuadrilongo</WORD>
<WORD coords="1286,676,1406,617,656">que</WORD>
<WORD coords="1462,655,1629,598,654">tiene</WORD>
<WORD coords="1686,653,1761,602,652">88</WORD>
<WORD coords="1823,654,1999,616,652">varas</WORD>
<WORD coords="2049,654,2126,594,652">de</WORD>
<WORD coords="2194,672,2369,595,648">largo</WORD>
<WORD coords="2416,669,2456,612,660">y</WORD>
<WORD coords="2509,649,2591,596,649">44</WORD>
<WORD coords="2646,647,2723,590,647">de</WORD>
<WORD coords="2760,648,2960,590,646">smrho</WORD>
<WORD coords="2991,657,3006,635,657">,</WORD>
<WORD coords="3032,669,3086,610,669">y</WORD>
</LINE>
<LINE>
<WORD coords="715,782,1092,708,765">comprende</WORD>
<WORD coords="1145,765,1304,710,764">3872</WORD>
<WORD coords="1367,767,1545,726,764">varas</WORD>
<WORD coords="1604,768,1890,707,763">cuadras.</WORD>
<WORD coords="1983,762,2064,705,761">El</WORD>
<WORD coords="2106,778,2292,701,761">Topo</WORD>
<WORD coords="2356,758,2517,702,756">tiene</WORD>
<WORD coords="2566,755,2608,705,757">4</WORD>
<WORD coords="2652,756,2969,696,753">cuartdlas</WORD>
<WORD coords="3037,760,3081,715,760">q</WORD>
</LINE>
<LINE>
<WORD coords="719,882,932,816,874">(pilcos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="964,980,1057,920,979">La</WORD>
<WORD coords="1105,1000,1358,919,980">Fanega</WORD>
<WORD coords="1407,979,1438,940,979">o</WORD>
<WORD coords="1499,998,1828,920,978">Fanegada</WORD>
<WORD coords="1890,976,1968,918,975">de</WORD>
<WORD coords="2021,974,2207,916,971">tierra</WORD>
<WORD coords="2261,970,2339,929,970">en</WORD>
<WORD coords="2383,968,2441,913,966">el</WORD>
<WORD coords="2490,969,2716,910,966">mismo</WORD>
<WORD coords="2790,981,3079,908,964">departa-</WORD>
</LINE>
<LINE>
<WORD coords="714,1089,924,1040,1086">mento</WORD>
<WORD coords="969,1085,1033,1049,1084">es</WORD>
<WORD coords="1075,1087,1157,1048,1086">un</WORD>
<WORD coords="1214,1105,1617,1029,1083">cuadrilongo</WORD>
<WORD coords="1658,1083,1734,1027,1082">de</WORD>
<WORD coords="1792,1082,1912,1033,1080">288</WORD>
<WORD coords="1966,1080,2143,1041,1077">varas</WORD>
<WORD coords="2211,1075,2287,1021,1074">de</WORD>
<WORD coords="2343,1094,2525,1021,1071">largy</WORD>
<WORD coords="2572,1090,2608,1036,1084">y</WORD>
<WORD coords="2670,1074,2782,1020,1073">144</WORD>
<WORD coords="2838,1070,2914,1015,1070">de</WORD>
<WORD coords="2972,1075,3078,1032,1073">an-</WORD>
</LINE>
<LINE>
<WORD coords="716,1193,847,1135,1192">cho.</WORD>
<WORD coords="948,1193,1043,1134,1192">La</WORD>
<WORD coords="1110,1214,1414,1134,1192">fanegada</WORD>
<WORD coords="1469,1192,1631,1134,1191">tiene</WORD>
<WORD coords="1685,1190,1890,1138,1189">41472</WORD>
<WORD coords="1952,1191,2129,1147,1186">varas</WORD>
<WORD coords="2176,1186,2522,1126,1181">cuadradas</WORD>
<WORD coords="2550,1197,2568,1166,1191">,</WORD>
<WORD coords="2619,1180,2658,1123,1182">ó</WORD>
<WORD coords="2715,1179,2790,1128,1180">10</WORD>
<WORD coords="2831,1198,3009,1133,1176">topos</WORD>
<WORD coords="3035,1198,3077,1138,1198">y</WORD>
</LINE>
<LINE>
<WORD coords="718,1318,845,1253,1301">tjtes</WORD>
<WORD coords="900,1309,1215,1242,1301">cuartillas</WORD>
<WORD coords="1264,1321,1413,1259,1301">muy</WORD>
<WORD coords="1475,1316,1629,1256,1296">poco</WORD>
<WORD coords="1670,1296,1907,1256,1294">menos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1348,1432,1630,1369,1428">Medidas</WORD>
<WORD coords="1688,1446,1986,1366,1424">agrarias</WORD>
<WORD coords="2035,1423,2107,1366,1422">de</WORD>
<WORD coords="2167,1425,2441,1364,1419">Castilla.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="970,1569,1118,1504,1566">Una</WORD>
<WORD coords="1168,1583,1415,1504,1563">Fanega</WORD>
<WORD coords="1471,1561,1550,1503,1561">de</WORD>
<WORD coords="1597,1560,1784,1502,1559">tierra</WORD>
<WORD coords="1839,1560,2003,1502,1558">tiene</WORD>
<WORD coords="2063,1557,2135,1508,1556">12</WORD>
<WORD coords="2212,1557,2534,1498,1552">Celemines</WORD>
<WORD coords="2607,1552,2633,1499,1553">1</WORD>
<WORD coords="2695,1548,2976,1487,1545">Celemín</WORD>
<WORD coords="3022,1544,3087,1488,1543">4,</WORD>
</LINE>
<LINE>
<WORD coords="719,1679,1043,1618,1675">cuartilla*</WORD>
<WORD coords="1096,1673,1171,1616,1672">de</WORD>
<WORD coords="1216,1683,1454,1615,1669">tierra;</WORD>
<WORD coords="1515,1669,1542,1617,1668">1</WORD>
<WORD coords="1611,1667,1889,1610,1665">cuartilla</WORD>
<WORD coords="1940,1666,2011,1616,1664">12</WORD>
<WORD coords="2072,1663,2389,1605,1660">Estadales</WORD>
<WORD coords="2444,1661,2840,1597,1653">cuadrados;</WORD>
<WORD coords="2882,1650,2907,1599,1656">1</WORD>
<WORD coords="2967,1647,3087,1592,1647">Es*</WORD>
</LINE>
<LINE>
<WORD coords="722,1787,892,1726,1783">tadal</WORD>
<WORD coords="950,1785,1273,1722,1781">cuadrado</WORD>
<WORD coords="1336,1795,1410,1724,1784">1§</WORD>
<WORD coords="1469,1779,1648,1736,1777">varas</WORD>
<WORD coords="1723,1775,2064,1713,1771">cuadradas</WORD>
<WORD coords="2085,1790,2124,1734,1780">¿</WORD>
<WORD coords="2192,1769,2218,1723,1769">i</WORD>
<WORD coords="2275,1770,2437,1728,1767">vara,</WORD>
<WORD coords="2503,1768,2811,1704,1762">cuadrada</WORD>
<WORD coords="2858,1769,2896,1703,1770">9</WORD>
<WORD coords="2954,1775,3093,1698,1755">píe*</WORD>
</LINE>
<LINE>
<WORD coords="725,1894,1094,1833,1890">cuadrados»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1708,1966,1808,1908,1965">De</WORD>
<WORD coords="1874,1982,2119,1908,1962">tiempo-.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="977,2081,1087,2020,2080">Un</WORD>
<WORD coords="1131,2099,1303,2020,2076">Siglo</WORD>
<WORD coords="1350,2077,1516,2017,2076">tiene</WORD>
<WORD coords="1573,2077,1691,2023,2073">100</WORD>
<WORD coords="1739,2071,1910,2018,2069">años.</WORD>
<WORD coords="2008,2070,2084,2012,2067">El</WORD>
<WORD coords="2138,2065,2362,2007,2062">Lustro</WORD>
<WORD coords="2412,2060,2447,2010,2062">5</WORD>
<WORD coords="2500,2058,2672,2001,2055">años.</WORD>
<WORD coords="2765,2053,2857,1996,2052">La</WORD>
<WORD coords="2916,2050,3098,1989,2046">Olim»</WORD>
</LINE>
<LINE>
<WORD coords="721,2213,915,2126,2187">piada</WORD>
<WORD coords="961,2186,1126,2130,2185">tenia</WORD>
<WORD coords="1183,2185,1226,2137,2184">4</WORD>
<WORD coords="1266,2184,1436,2131,2184">años.</WORD>
<WORD coords="1531,2181,1608,2125,2180">El</WORD>
<WORD coords="1667,2179,1803,2120,2178">Año</WORD>
<WORD coords="1854,2198,2118,2119,2177">Juliana</WORD>
<WORD coords="2177,2172,2209,2133,2172">o</WORD>
<WORD coords="2263,2170,2410,2111,2168">civil</WORD>
<WORD coords="2460,2166,2624,2123,2165">tiene</WORD>
<WORD coords="2687,2164,2762,2113,2167">12</WORD>
<WORD coords="2820,2162,3021,2121,2160">meses</WORD>
<WORD coords="3053,2170,3102,2097,2170">#</WORD>
</LINE>
<LINE>
<WORD coords="736,2304,856,2244,2299">3§5</WORD>
<WORD coords="917,2296,1054,2239,2295">dias</WORD>
<WORD coords="1083,2311,1102,2278,2311">,</WORD>
<WORD coords="1128,2333,1168,2256,2313">y</WORD>
<WORD coords="1217,2293,1271,2234,2292">si</WORD>
<WORD coords="1329,2291,1396,2252,2290">es</WORD>
<WORD coords="1448,2290,1705,2231,2288">bisiesto</WORD>
<WORD coords="1740,2303,1757,2275,2296">,</WORD>
<WORD coords="1791,2284,1931,2230,2283">366.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1371,2398,1631,2339,2396">Treinta</WORD>
<WORD coords="1688,2394,1822,2336,2392">dias</WORD>
<WORD coords="1880,2390,2009,2345,2389">trae</WORD>
<WORD coords="2057,2392,2469,2328,2383">Noviembre,</WORD>
</LINE>
<LINE>
<WORD coords="1373,2505,1509,2447,2503">Con</WORD>
<WORD coords="1543,2502,1720,2443,2499">Abril</WORD>
<WORD coords="1733,2519,1751,2486,2519">?</WORD>
<WORD coords="1776,2515,1962,2440,2499">Junio</WORD>
<WORD coords="1992,2515,2031,2458,2512">y</WORD>
<WORD coords="2059,2510,2479,2432,2490">Septiembre^</WORD>
</LINE>
<LINE>
<WORD coords="1375,2613,1756,2549,2608">Veintiocho</WORD>
<WORD coords="1804,2603,1933,2560,2602">trae</WORD>
<WORD coords="1985,2600,2038,2544,2599">el</WORD>
<WORD coords="2089,2612,2234,2563,2597">uno.</WORD>
</LINE>
<LINE>
<WORD coords="1375,2717,1507,2659,2716">Los</WORD>
<WORD coords="1561,2715,1777,2658,2713">demás</WORD>
<WORD coords="1839,2709,1868,2654,2708">á</WORD>
<WORD coords="1920,2708,2145,2652,2705">treinta</WORD>
<WORD coords="2196,2724,2235,2667,2715">y</WORD>
<WORD coords="2287,2703,2432,2663,2700">uno.</WORD>
</LINE>
<LINE>
<WORD coords="990,2839,1268,2777,2833">Febrero</WORD>
<WORD coords="1338,2827,1503,2768,2824">tiene</WORD>
<WORD coords="1561,2821,1638,2773,2819">28</WORD>
<WORD coords="1709,2818,1846,2760,2816">dias</WORD>
<WORD coords="1910,2835,1949,2778,2824">y</WORD>
<WORD coords="2007,2813,2086,2760,2811">29</WORD>
<WORD coords="2153,2809,2227,2773,2808">en</WORD>
<WORD coords="2289,2806,2406,2771,2805">ano</WORD>
<WORD coords="2459,2805,2740,2745,2800">bisiesto.</WORD>
<WORD coords="2829,2798,2903,2741,2797">El</WORD>
<WORD coords="2968,2798,3112,2741,2796">Dim</WORD>
</LINE>
<LINE>
<WORD coords="750,2955,1006,2886,2947">natural</WORD>
<WORD coords="1060,2944,1097,2887,2944">ó</WORD>
<WORD coords="1167,2955,1444,2879,2934">Europeo</WORD>
<WORD coords="1517,2927,1681,2870,2926">tiene</WORD>
<WORD coords="1757,2923,1837,2872,2922">24</WORD>
<WORD coords="1888,2921,2069,2864,2918">hora*</WORD>
<WORD coords="2103,2896,2117,2885,2896">-</WORD>
<WORD coords="2103,2933,2127,2907,2933">m</WORD>
<WORD coords="2173,2914,2230,2862,2913">la</WORD>
<WORD coords="2283,2913,2431,2857,2910">hora</WORD>
<WORD coords="2494,2908,2578,2857,2912">60</WORD>
<WORD coords="2646,2919,2955,2848,2904">minutos;</WORD>
<WORD coords="3038,2901,3102,2839,2899">el</WORD>
</LINE>
<LINE>
<WORD coords="744,3066,993,2987,3058">Minuto</WORD>
<WORD coords="1036,3054,1131,3000,3053">60</WORD>
<WORD coords="1165,3067,1476,2983,3043">segundos</WORD>
<WORD coords="1506,3051,1526,3001,3042">;</WORD>
<WORD coords="1574,3033,1635,2979,3032">el</WORD>
<WORD coords="1692,3051,1969,2971,3030">segundo</WORD>
<WORD coords="2016,3024,2097,2971,3026">60</WORD>
<WORD coords="2153,3022,2420,2979,3019">terceros</WORD>
<WORD coords="2469,3016,2582,2959,3014">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1764,3162,1864,3104,3161">Be</WORD>
<WORD coords="1915,3178,2082,3110,3154">peso»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="997,3318,1113,3258,3315">Un</WORD>
<WORD coords="1161,3336,1422,3245,3306">Quintal</WORD>
<WORD coords="1475,3303,1638,3246,3300">tiene</WORD>
<WORD coords="1692,3295,1733,3243,3294">4</WORD>
<WORD coords="1789,3293,2064,3233,3287">Arrobas</WORD>
<WORD coords="2096,3299,2111,3250,3292">;</WORD>
<WORD coords="2185,3283,2244,3229,3281">la</WORD>
<WORD coords="2290,3282,2533,3221,3279">Jrr^</WORD>
<WORD coords="2582,3276,2658,3225,3278">25</WORD>
<WORD coords="2733,3271,2950,3214,3268">Libras</WORD>
<WORD coords="2982,3282,2999,3234,3284">;</WORD>
<WORD coords="3048,3269,3109,3209,3266">la</WORD>
</LINE>
<LINE>
<WORD coords="754,3434,944,3371,3428">Libra</WORD>
<WORD coords="1002,3424,1083,3369,3421">1$</WORD>
<WORD coords="1128,3419,1369,3377,3417">onzas:</WORD>
<WORD coords="1426,3411,1483,3355,3410">la</WORD>
<WORD coords="1531,3408,1704,3352,3406">Onza</WORD>
<WORD coords="1749,3402,1821,3348,3400">16</WORD>
<WORD coords="1875,3398,2187,3340,3391">Adarmes</WORD>
<WORD coords="2222,3393,2248,3355,3393">v</WORD>
<WORD coords="2291,3386,2348,3332,3386">el</WORD>
<WORD coords="2394,3384,2657,3328,3382">i^m.</WORD>
<WORD coords="2703,3375,2736,3327,3387">3</WORD>
<WORD coords="2797,3438,3108,3319,3376">TomfH^</WORD>
</LINE>
<LINE>
<WORD coords="754,3542,815,3483,3540">el</WORD>
<WORD coords="869,3540,1082,3476,3533">Tcwia</WORD>
<WORD coords="1139,3527,1213,3478,3524">12</WORD>
<WORD coords="1253,3521,1503,3465,3516">Granos</WORD>
<WORD coords="1546,3513,1622,3456,3512">de</WORD>
<WORD coords="1683,3509,1935,3448,3505">cebada.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1005,3636,1101,3579,3635">La</WORD>
<WORD coords="1107,3624,1108,3622,3624">.</WORD>
<WORD coords="1157,3632,1351,3574,3628">¿tfra</WORD>
<WORD coords="1398,3624,1670,3562,3619">también</WORD>
<WORD coords="1743,3613,1807,3576,3612">se</WORD>
<WORD coords="1879,3608,2097,3546,3605">divide</WORD>
<WORD coords="2153,3601,2230,3561,3599">en</WORD>
<WORD coords="2290,3597,2328,3548,3601">2</WORD>
<WORD coords="2409,3606,2689,3551,3593">waw;</WORD>
<WORD coords="2762,3586,2820,3529,3586">el</WORD>
<WORD coords="2900,3586,3106,3542,3583">marc*</WORD>
</LINE>
<LINE>
<WORD coords="756,3755,922,3692,3750">tiene</WORD>
<WORD coords="983,3742,1018,3693,3741">8</WORD>
<WORD coords="1067,3740,1253,3698,3737">onzas</WORD>
<WORD coords="1286,3749,1302,3700,3740">;</WORD>
<WORD coords="1349,3732,1412,3676,3730">la</WORD>
<WORD coords="1460,3728,1617,3670,3725">cw&apos;s.a</WORD>
<WORD coords="1672,3722,1717,3670,3725">4</WORD>
<WORD coords="1758,3719,2028,3666,3714">cuartas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1014,3846,1107,3789,3845">La</WORD>
<WORD coords="1157,3841,1310,3785,3839">/¿¿ra</WORD>
<WORD coords="1370,3837,1597,3777,3833">medica</WORD>
<WORD coords="1640,3849,1680,3791,3848">y</WORD>
<WORD coords="1716,3848,2168,3760,3821">farmacéutica</WORD>
<WORD coords="2223,3812,2389,3756,3809">tiene</WORD>
<WORD coords="2442,3806,2514,3756,3809">12</WORD>
<WORD coords="2564,3802,2752,3761,3799">enz/w</WORD>
</LINE>
<LINE>
<WORD coords="735,3966,929,3900,3961">&apos;tiene</WORD>
<WORD coords="969,3954,1004,3903,3952">8</WORD>
<WORD coords="1055,3950,1327,3893,3946">dracmas</WORD>
<WORD coords="1357,3957,1395,3851,3950">¿</WORD>
<WORD coords="1419,3943,1475,3885,3942">la</WORD>
<WORD coords="1526,3939,1770,3880,3936">dracma</WORD>
<WORD coords="1827,3932,1990,3873,3930">tiene</WORD>
<WORD coords="2032,3923,2070,3872,3923">S</WORD>
<WORD coords="2120,3940,2469,3856,3918">escrúpulos</WORD>
<WORD coords="2491,3932,2515,3879,3930">;</WORD>
<WORD coords="2577,3909,2634,3847,3908">el</WORD>
<WORD coords="2684,3926,2998,3849,3904">escrúpulo</WORD>
<WORD coords="3026,3913,3129,3850,3908">24</WORD>
</LINE>
<LINE>
<WORD coords="734,4044,752,4014,4068">*</WORD>
<WORD coords="757,4092,845,4032,4069">gr</WORD>
<WORD coords="852,4072,998,4015,4069">irnos</WORD>
<WORD coords="1184,4055,1435,3985,4052">cebada.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0104.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0105.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0105.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1372,506,1516,408,502">93</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1230,644,1330,587,643">De</WORD>
<WORD coords="1381,643,1463,608,642">¡no</WORD>
<WORD coords="1476,639,1503,613,642">¡,</WORD>
<WORD coords="1518,642,1547,605,640">e</WORD>
<WORD coords="1550,642,1647,584,642">da.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="502,786,604,727,785">X,a</WORD>
<WORD coords="651,784,809,743,782">cn*xa</WORD>
<WORD coords="853,780,927,723,779">de</WORD>
<WORD coords="972,778,1075,733,775">oro</WORD>
<WORD coords="1135,773,1209,733,772">en</WORD>
<WORD coords="1257,770,1312,715,769">el</WORD>
<WORD coords="1382,770,1537,714,769">Peni</WORD>
<WORD coords="1585,770,1745,715,769">tiene</WORD>
<WORD coords="1805,787,1917,731,768">por</WORD>
<WORD coords="1969,769,2068,713,768">lev</WORD>
<WORD coords="2139,770,2213,719,770">17</WORD>
<WORD coords="2271,789,2443,735,769">pesos</WORD>
<WORD coords="2498,770,2610,714,769">da-</WORD>
</LINE>
<LINE>
<WORD coords="260,901,387,851,898">tos.</WORD>
<WORD coords="479,893,555,836,891">El</WORD>
<WORD coords="612,888,754,836,888">Peso</WORD>
<WORD coords="800,886,837,840,884">8</WORD>
<WORD coords="887,883,1082,827,880">reales</WORD>
<WORD coords="1116,894,1131,846,886">;</WORD>
<WORD coords="1184,876,1235,823,876">el</WORD>
<WORD coords="1300,874,1450,821,873">Real</WORD>
<WORD coords="1493,875,1529,828,877">2</WORD>
<WORD coords="1586,888,1874,820,873">medios,</WORD>
<WORD coords="1924,875,1962,828,877">4</WORD>
<WORD coords="2009,879,2343,819,875">cuartillos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="509,1004,695,945,1000">Nota.</WORD>
<WORD coords="791,992,863,938,991">El</WORD>
<WORD coords="910,1011,1057,946,988">peso</WORD>
<WORD coords="1116,986,1265,930,984">duro</WORD>
<WORD coords="1313,983,1448,928,982">vale</WORD>
<WORD coords="1508,982,1587,934,983">20</WORD>
<WORD coords="1634,983,1822,928,980">reales</WORD>
<WORD coords="1866,982,1941,929,982">de</WORD>
<WORD coords="2003,987,2198,922,985">vellón</WORD>
<WORD coords="2237,980,2369,947,977">mor</WORD>
<WORD coords="2420,980,2455,927,980">d</WORD>
<WORD coords="2478,976,2492,948,976">i</WORD>
<WORD coords="2543,980,2618,924,977">de</WORD>
</LINE>
<LINE>
<WORD coords="267,1119,517,1059,1114">Cartilla</WORD>
<WORD coords="553,1126,571,1078,1117">;</WORD>
<WORD coords="618,1108,669,1050,1105">el</WORD>
<WORD coords="731,1106,888,1049,1104">Real</WORD>
<WORD coords="935,1101,1010,1048,1100">de</WORD>
<WORD coords="1083,1098,1275,1043,1094">vellón</WORD>
<WORD coords="1332,1093,1493,1037,1091">tiene</WORD>
<WORD coords="1550,1091,1627,1042,1089">34-</WORD>
<WORD coords="1675,1090,2077,1036,1089">maravedises</WORD>
<WORD coords="2103,1104,2118,1060,1096">;</WORD>
<WORD coords="2183,1090,2263,1055,1089">un</WORD>
<WORD coords="2331,1088,2456,1034,1086">real</WORD>
<WORD coords="2533,1092,2609,1040,1092">do</WORD>
</LINE>
<LINE>
<WORD coords="265,1250,435,1170,1219">ylata-</WORD>
<WORD coords="474,1218,574,1163,1215">del</WORD>
<WORD coords="636,1212,795,1155,1211">Perú</WORD>
<WORD coords="848,1207,978,1153,1206">vale</WORD>
<WORD coords="1016,1204,1089,1155,1205">85</WORD>
<WORD coords="1150,1204,1592,1141,1199">maravedises.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="346,1351,599,1289,1347">Mtdida</WORD>
<WORD coords="650,1344,720,1286,1342">de</WORD>
<WORD coords="755,1341,810,1286,1340">la</WORD>
<WORD coords="820,1362,1047,1282,1335">jívara</WORD>
<WORD coords="1079,1335,1148,1279,1334">de</WORD>
<WORD coords="1203,1333,1259,1280,1332">la</WORD>
<WORD coords="1305,1354,1478,1277,1330">plata</WORD>
<WORD coords="1536,1351,1575,1294,1346">y</WORD>
<WORD coords="1628,1342,1768,1290,1328">ora,</WORD>
<WORD coords="1800,1327,1829,1290,1327">o</WORD>
<WORD coords="1875,1357,2098,1290,1329">emaye</WORD>
<WORD coords="2127,1331,2199,1270,1329">de</WORD>
<WORD coords="2252,1328,2518,1271,1326">moneda.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="527,1474,600,1419,1474">El</WORD>
<WORD coords="657,1470,767,1433,1469">oro</WORD>
<WORD coords="826,1488,978,1431,1466">puro</WORD>
<WORD coords="1037,1484,1075,1429,1472">y</WORD>
<WORD coords="1132,1461,1223,1406,1461">sin</WORD>
<WORD coords="1280,1461,1516,1406,1459">mezcla</WORD>
<WORD coords="1570,1458,1729,1404,1457">tiene</WORD>
<WORD coords="1800,1457,1830,1412,1458">2</WORD>
<WORD coords="1849,1458,1878,1409,1458">4</WORD>
<WORD coords="1930,1479,2190,1402,1455">quilates</WORD>
<WORD coords="2222,1471,2235,1425,1465">;</WORD>
<WORD coords="2293,1454,2356,1419,1453">es</WORD>
<WORD coords="2415,1452,2449,1401,1452">d</WORD>
<WORD coords="2501,1473,2613,1401,1453">cír,</WORD>
</LINE>
<LINE>
<WORD coords="273,1607,389,1550,1586">que</WORD>
<WORD coords="438,1582,489,1527,1582">si</WORD>
<WORD coords="540,1582,624,1545,1580">un</WORD>
<WORD coords="680,1593,825,1539,1575">peso</WORD>
<WORD coords="890,1589,1249,1513,1569">cualquiera</WORD>
<WORD coords="1308,1566,1384,1512,1565">de</WORD>
<WORD coords="1439,1577,1584,1528,1563">oro,</WORD>
<WORD coords="1628,1566,1685,1529,1564">v.</WORD>
<WORD coords="1747,1584,1804,1529,1571">g.</WORD>
<WORD coords="1858,1565,1976,1527,1562">una</WORD>
<WORD coords="2030,1560,2181,1527,1559">onza</WORD>
<WORD coords="2217,1576,2232,1552,1571">,</WORD>
<WORD coords="2280,1561,2342,1525,1560">se</WORD>
<WORD coords="2399,1562,2610,1505,1560">divide</WORD>
</LINE>
<LINE>
<WORD coords="277,1695,349,1658,1693">en</WORD>
<WORD coords="414,1691,827,1632,1686">veinticuatro</WORD>
<WORD coords="885,1695,1087,1634,1677">partes</WORD>
<WORD coords="1153,1696,1439,1618,1672">iguales,</WORD>
<WORD coords="1510,1670,1659,1615,1669">cada</WORD>
<WORD coords="1727,1692,2107,1614,1667">vigesimacu</WORD>
<WORD coords="2126,1668,2247,1624,1665">irta</WORD>
<WORD coords="2322,1688,2485,1623,1669">parte</WORD>
<WORD coords="2555,1677,2619,1630,1677">«t</WORD>
</LINE>
<LINE>
<WORD coords="286,1803,470,1741,1798">llama</WORD>
<WORD coords="542,1819,789,1737,1790">quilate.</WORD>
<WORD coords="878,1788,954,1730,1787">Se</WORD>
<WORD coords="1003,1785,1139,1729,1783">dirá</WORD>
<WORD coords="1220,1800,1337,1745,1781">que</WORD>
<WORD coords="1394,1779,1448,1725,1779">el</WORD>
<WORD coords="1503,1777,1610,1741,1776">oro</WORD>
<WORD coords="1666,1776,1827,1722,1774">tiene</WORD>
<WORD coords="1890,1774,1957,1728,1775">21</WORD>
<WORD coords="2013,1790,2320,1718,1772">quilates,</WORD>
<WORD coords="2378,1774,2619,1722,1771">euuilj</WORD>
</LINE>
<LINE>
<WORD coords="279,1923,584,1862,1902">Contenga</WORD>
<WORD coords="647,1899,964,1841,1896">veintiuna</WORD>
<WORD coords="1032,1905,1234,1845,1887">partes</WORD>
<WORD coords="1294,1887,1372,1832,1886">de</WORD>
<WORD coords="1433,1885,1543,1849,1884">oro</WORD>
<WORD coords="1605,1903,1812,1846,1882">puro,</WORD>
<WORD coords="1866,1901,1905,1845,1893">y</WORD>
<WORD coords="1961,1879,2084,1838,1877">tres</WORD>
<WORD coords="2143,1901,2338,1837,1881">partí*</WORD>
<WORD coords="2392,1877,2465,1822,1877">de</WORD>
<WORD coords="2519,1878,2627,1841,1877">co-</WORD>
</LINE>
<LINE>
<WORD coords="279,2015,385,1956,2012">t&gt;¡e</WORD>
<WORD coords="434,2011,477,1952,2008">ú</WORD>
<WORD coords="543,2006,679,1966,2004">otro</WORD>
<WORD coords="737,2003,942,1944,2001">metal.</WORD>
<WORD coords="1039,1998,1116,1940,1996">El</WORD>
<WORD coords="1171,2016,1399,1938,1994">quilate</WORD>
<WORD coords="1445,1993,1607,1936,1991">tiene</WORD>
<WORD coords="1657,1991,1704,1941,1993">4</WORD>
<WORD coords="1751,2008,1951,1943,1987">partes</WORD>
<WORD coords="2024,2010,2256,1930,1990">igualas</WORD>
<WORD coords="2291,2004,2311,1967,2004">t</WORD>
<WORD coords="2387,2005,2503,1951,1986">que</WORD>
<WORD coords="2559,1988,2624,1949,1986">se</WORD>
</LINE>
<LINE>
<WORD coords="280,2121,507,2061,2118">llaman</WORD>
<WORD coords="561,2135,792,2073,2109">granos</WORD>
<WORD coords="849,2110,918,2051,2108">de</WORD>
<WORD coords="947,2130,1120,2047,2112">fno.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="532,2223,627,2165,2221">La</WORD>
<WORD coords="671,2238,829,2164,2216">plata</WORD>
<WORD coords="876,2230,1025,2176,2210">pura</WORD>
<WORD coords="1072,2230,1110,2174,2219">y</WORD>
<WORD coords="1158,2208,1251,2152,2207">sin</WORD>
<WORD coords="1318,2206,1560,2148,2204">mezcla</WORD>
<WORD coords="1610,2205,1775,2146,2202">tiene</WORD>
<WORD coords="1841,2202,1912,2153,2202">12</WORD>
<WORD coords="1968,2200,2206,2143,2197">dineros</WORD>
<WORD coords="2231,2214,2256,2165,2209">;</WORD>
<WORD coords="2310,2196,2374,2161,2194">es</WORD>
<WORD coords="2434,2208,2628,2142,2193">d^cír,</WORD>
</LINE>
<LINE>
<WORD coords="462,2332,510,2277,2332">si</WORD>
<WORD coords="563,2332,681,2292,2329">una</WORD>
<WORD coords="742,2327,1030,2265,2323">cantidad</WORD>
<WORD coords="1092,2335,1444,2259,2315">cualquiera</WORD>
<WORD coords="1490,2313,1566,2257,2312">de</WORD>
<WORD coords="1627,2329,1788,2255,2309">plata</WORD>
<WORD coords="1822,2323,1837,2298,2317">,</WORD>
<WORD coords="1871,2309,1929,2273,2306">v.</WORD>
<WORD coords="1992,2326,2047,2273,2314">g,</WORD>
<WORD coords="2111,2306,2184,2271,2305">un</WORD>
<WORD coords="2205,2301,2222,2273,2306">í</WORD>
<WORD coords="2271,2305,2399,2268,2303">cuai</WORD>
<WORD coords="2420,2304,2476,2262,2302">ta</WORD>
<WORD coords="2514,2316,2527,2293,2314">,</WORD>
<WORD coords="2564,2305,2627,2269,2305">&lt;e</WORD>
</LINE>
<LINE>
<WORD coords="288,2443,350,2361,2441">di</WORD>
<WORD coords="363,2441,501,2381,2440">vid-e</WORD>
<WORD coords="548,2438,623,2402,2437">en</WORD>
<WORD coords="666,2437,821,2379,2433">doce</WORD>
<WORD coords="879,2450,1074,2385,2427">partes</WORD>
<WORD coords="1126,2445,1362,2368,2421">iguales</WORD>
<WORD coords="1398,2436,1415,2407,2429">,</WORD>
<WORD coords="1464,2421,1614,2364,2419">cada</WORD>
<WORD coords="1671,2417,2041,2358,2413">duodécima</WORD>
<WORD coords="2100,2430,2266,2367,2409">parte</WORD>
<WORD coords="2328,2408,2390,2373,2408">se</WORD>
<WORD coords="2447,2430,2627,2351,2417">[Jama</WORD>
</LINE>
<LINE>
<WORD coords="288,2551,520,2493,2547">dinero,</WORD>
<WORD coords="562,2545,637,2488,2544">Se</WORD>
<WORD coords="684,2542,818,2485,2541">dirá</WORD>
<WORD coords="877,2557,994,2502,2539">que</WORD>
<WORD coords="1051,2535,1130,2500,2535">un</WORD>
<WORD coords="1189,2532,1373,2489,2530">trozo</WORD>
<WORD coords="1435,2532,1511,2473,2530">de</WORD>
<WORD coords="1577,2543,1734,2471,2524">plata</WORD>
<WORD coords="1789,2524,1949,2465,2520">tiene</WORD>
<WORD coords="2002,2518,2075,2469,2521">10</WORD>
<WORD coords="2125,2519,2365,2462,2515">dineros</WORD>
<WORD coords="2400,2530,2416,2506,2530">y</WORD>
<WORD coords="2443,2515,2624,2478,2514">c^n-</WORD>
</LINE>
<LINE>
<WORD coords="293,2655,375,2601,2652">éo</WORD>
<WORD coords="429,2653,574,2595,2651">diez</WORD>
<WORD coords="630,2648,705,2593,2648">d«</WORD>
<WORD coords="743,2648,847,2610,2646">sus</WORD>
<WORD coords="908,2662,1109,2598,2641">partes</WORD>
<WORD coords="1167,2660,1403,2582,2636">iguales</WORD>
<WORD coords="1450,2632,1558,2597,2631">son</WORD>
<WORD coords="1590,2640,1694,2567,2634">fde</WORD>
<WORD coords="1761,2648,1920,2576,2625">plata</WORD>
<WORD coords="1955,2643,2102,2587,2623">pura</WORD>
<WORD coords="2137,2643,2166,2589,2638">y</WORD>
<WORD coords="2204,2623,2289,2567,2621">tas</WORD>
<WORD coords="2323,2617,2335,2588,2625">(</WORD>
<WORD coords="2364,2620,2480,2578,2618">tras</WORD>
<WORD coords="2519,2624,2629,2568,2620">dos</WORD>
</LINE>
<LINE>
<WORD coords="291,2771,367,2706,2765">it</WORD>
<WORD coords="416,2758,595,2704,2757">cobre</WORD>
<WORD coords="648,2756,691,2697,2753">ü</WORD>
<WORD coords="755,2751,890,2707,2750">otro</WORD>
<WORD coords="950,2750,1162,2691,2746">metal.</WORD>
<WORD coords="1258,2746,1333,2688,2744">El</WORD>
<WORD coords="1372,2742,1587,2684,2739">dinero</WORD>
<WORD coords="1627,2736,1789,2691,2735">tiene</WORD>
<WORD coords="1841,2737,1922,2684,2734">24*</WORD>
<WORD coords="1986,2751,2189,2687,2729">partes</WORD>
<WORD coords="2238,2752,2474,2675,2727">iguales</WORD>
<WORD coords="2523,2727,2630,2673,2725">lia-</WORD>
</LINE>
<LINE>
<WORD coords="267,2869,504,2809,2865">-madas</WORD>
<WORD coords="540,2886,778,2822,2860">granos</WORD>
<WORD coords="825,2861,894,2801,2859">de</WORD>
<WORD coords="944,2877,1094,2796,2865">fino.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="539,2970,615,2914,2969">Se</WORD>
<WORD coords="667,2967,849,2912,2966">llama</WORD>
<WORD coords="893,2982,984,2912,2964">ley</WORD>
<WORD coords="1047,2962,1085,2907,2962">6</WORD>
<WORD coords="1143,2962,1316,2902,2960">valor</WORD>
<WORD coords="1368,2956,1701,2897,2953">intrimeeo</WORD>
<WORD coords="1750,2949,1850,2892,2947">del</WORD>
<WORD coords="1909,2945,2015,2908,2944">oro</WORD>
<WORD coords="2063,2943,2100,2886,2946">ó</WORD>
<WORD coords="2157,2957,2317,2883,2938">plata</WORD>
<WORD coords="2349,2954,2365,2926,2952">,</WORD>
<WORD coords="2409,2936,2459,2882,2934">el</WORD>
<WORD coords="2496,2956,2633,2900,2932">gn-</WORD>
</LINE>
<LINE>
<WORD coords="292,3080,374,3022,3079">áo</WORD>
<WORD coords="422,3094,636,3035,3074">mayor</WORD>
<WORD coords="691,3073,729,3015,3073">ó</WORD>
<WORD coords="789,3074,1001,3032,3070">menor</WORD>
<WORD coords="1047,3069,1122,3013,3068">de</WORD>
<WORD coords="1179,3085,1460,3024,3062">pureza:</WORD>
<WORD coords="1521,3058,1898,2998,3053">determinar</WORD>
<WORD coords="1945,3049,2070,3007,3046">este</WORD>
<WORD coords="2129,3064,2368,2989,3042">grado,</WORD>
<WORD coords="2422,3039,2484,3007,3039">se</WORD>
<WORD coords="2542,3040,2636,2994,3039">di-</WORD>
</LINE>
<LINE>
<WORD coords="294,3184,364,3147,3183">ce</WORD>
<WORD coords="412,3184,527,3127,3182">dar</WORD>
<WORD coords="580,3183,638,3128,3183">la</WORD>
<WORD coords="693,3200,788,3125,3183">ley</WORD>
<WORD coords="830,3180,884,3124,3179">al</WORD>
<WORD coords="942,3179,1049,3138,3176">oro</WORD>
<WORD coords="1108,3174,1144,3120,3174">ó</WORD>
<WORD coords="1206,3191,1366,3118,3169">plata</WORD>
<WORD coords="1408,3180,1424,3135,3180">;</WORD>
<WORD coords="1469,3184,1508,3128,3173">y</WORD>
<WORD coords="1560,3162,1614,3110,3162">la</WORD>
<WORD coords="1663,3178,1995,3101,3156">operación</WORD>
<WORD coords="2047,3154,2355,3099,3149">mediante</WORD>
<WORD coords="2414,3145,2465,3092,3145">la</WORD>
<WORD coords="2517,3163,2635,3110,3145">que</WORD>
</LINE>
<LINE>
<WORD coords="294,3290,361,3252,3290">se</WORD>
<WORD coords="420,3308,714,3233,3287">consigue</WORD>
<WORD coords="764,3286,896,3240,3285">e-to</WORD>
<WORD coords="930,3300,954,3273,3300">y</WORD>
<WORD coords="998,3281,1068,3244,3281">se</WORD>
<WORD coords="1115,3278,1253,3223,3278">dice</WORD>
<WORD coords="1309,3292,1554,3234,3273">ensaye*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="554,3396,628,3341,3394">El</WORD>
<WORD coords="681,3394,792,3356,3393">oro</WORD>
<WORD coords="867,3410,1014,3352,3390">para</WORD>
<WORD coords="1076,3386,1303,3332,3384">acuñar</WORD>
<WORD coords="1355,3382,1615,3322,3377">moneda</WORD>
<WORD coords="1670,3374,1744,3336,3373">en</WORD>
<WORD coords="1798,3372,1852,3315,3371">el</WORD>
<WORD coords="1911,3369,2071,3310,3367">Perú</WORD>
<WORD coords="2132,3363,2284,3305,3362">deb^</WORD>
<WORD coords="2355,3359,2527,3314,3356">tener</WORD>
<WORD coords="2573,3355,2631,3301,3351">la</WORD>
</LINE>
<LINE>
<WORD coords="297,3525,399,3452,3507">ley</WORD>
<WORD coords="447,3505,521,3449,3504">de</WORD>
<WORD coords="581,3508,659,3454,3506">21</WORD>
<WORD coords="740,3520,1050,3440,3498">quilates,</WORD>
<WORD coords="1096,3514,1136,3455,3502">y</WORD>
<WORD coords="1200,3491,1259,3445,3490">ia</WORD>
<WORD coords="1308,3508,1469,3433,3487">plata</WORD>
<WORD coords="1528,3484,1587,3428,3483">la</WORD>
<WORD coords="1633,3482,1707,3425,3481">de</WORD>
<WORD coords="1762,3479,1837,3429,3480">10</WORD>
<WORD coords="1887,3482,2138,3418,3475">dineros</WORD>
<WORD coords="2172,3488,2188,3455,3486">,</WORD>
<WORD coords="2242,3467,2323,3419,3472">20</WORD>
<WORD coords="2404,3487,2630,3424,3462">ganos</WORD>
</LINE>
<LINE>
<WORD coords="300,3614,376,3557,3613">ée</WORD>
<WORD coords="434,3612,578,3553,3611">fino.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1292,3719,1663,3639,3695">Digresión*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="545,3846,890,3786,3842">Problema.</WORD>
<WORD coords="981,3840,1122,3783,3838">Dar</WORD>
<WORD coords="1169,3834,1225,3778,3833">la</WORD>
<WORD coords="1277,3850,1369,3776,3829">ley</WORD>
<WORD coords="1423,3830,1451,3792,3830">o</WORD>
<WORD coords="1505,3845,1769,3788,3825">ensayar</WORD>
<WORD coords="1811,3821,1867,3767,3821">la</WORD>
<WORD coords="1920,3842,2089,3762,3819">plata</WORD>
<WORD coords="2143,3834,2183,3779,3830">y</WORD>
<WORD coords="2239,3812,2294,3758,3810">el</WORD>
<WORD coords="2331,3810,2454,3770,3807">oro.</WORD>
</LINE>
<LINE>
<WORD coords="540,3954,923,3893,3950">■Hesolucicn.</WORD>
<WORD coords="1016,3947,1174,3890,3944">F«ia</WORD>
<WORD coords="1219,3958,1473,3899,3937">eiibayar</WORD>
<WORD coords="1541,3935,1660,3898,3933">una</WORD>
<WORD coords="1703,3931,1876,3876,3928">barra</WORD>
<WORD coords="1910,3925,1945,3891,3925">o</WORD>
<WORD coords="1981,3929,2150,3880,3926">Uvw</WORD>
<WORD coords="2204,3920,2278,3863,3919">de</WORD>
<WORD coords="2335,3935,2490,3853,3912">ptáté</WORD>
<WORD coords="2525,3926,2539,3894,3929">,</WORD>
<WORD coords="2578,3904,2640,3868,3904">se</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0105.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0106.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0106.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1794,482,1936,396,481">98</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="678,576,1002,516,573">observará</WORD>
<WORD coords="1096,582,1156,524,582">!o</WORD>
<WORD coords="1238,608,1542,526,588">siguiente</WORD>
<WORD coords="1570,594,1586,558,600">:</WORD>
<WORD coords="1672,598,1722,544,598">1.</WORD>
<WORD coords="1754,578,1790,542,578">o</WORD>
<WORD coords="1902,616,2178,542,608">T*»e«</WORD>
<WORD coords="2230,616,2308,556,615">de</WORD>
<WORD coords="2380,620,2434,562,620">!a</WORD>
<WORD coords="2508,630,2690,558,628">Wra</WORD>
<WORD coords="2776,634,2814,576,632">¿</WORD>
<WORD coords="2888,642,3008,578,638">fría</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="674,680,706,642,680">c</WORD>
<WORD coords="706,706,1288,624,684">.-derrtt.da.que</WORD>
<WORD coords="1350,694,1412,658,693">es</WORD>
<WORD coords="1458,696,1514,640,695">lo</WORD>
<WORD coords="1562,722,1810,642,699">mejor,</WORD>
<WORD coords="1866,710,1944,670,709">un</WORD>
<WORD coords="1982,720,2262,660,715">pedacito</WORD>
<WORD coords="2326,740,2446,686,724">que</WORD>
<WORD coords="2504,736,2724,672,731">llaman</WORD>
<WORD coords="2790,746,3026,684,746">W¿-</WORD>
</LINE>
<LINE>
<WORD coords="666,788,740,732,785">tic</WORD>
<WORD coords="774,800,794,752,808">;</WORD>
<WORD coords="854,796,1260,734,791">redúzcasele</WORD>
<WORD coords="1316,796,1344,742,806">á</WORD>
<WORD coords="1404,818,1692,746,802">planchas</WORD>
<WORD coords="1768,834,2062,752,812">delgadas</WORD>
<WORD coords="2114,826,2328,760,823">fáciles</WORD>
<WORD coords="2376,830,2454,772,829">de</WORD>
<WORD coords="2502,844,2776,776,838">poderse-</WORD>
<WORD coords="2818,848,2966,804,846">cor*</WORD>
<WORD coords="2992,852,3022,810,852">r</WORD>
</LINE>
<LINE>
<WORD coords="660,892,776,852,890">con</WORD>
<WORD coords="836,894,920,850,893">¡as</WORD>
<WORD coords="996,920,1252,844,897">tijera,,</WORD>
<WORD coords="1306,924,1344,866,924">y</WORD>
<WORD coords="1402,924,1618,852,910">pésese</WORD>
<WORD coords="1664,914,1736,876,914">en</WORD>
<WORD coords="1794,920,1910,880,919">una</WORD>
<WORD coords="1948,928,2244,866,924">balancita</WORD>
<WORD coords="2302,942,2442,894,933">muy</WORD>
<WORD coords="2502,940,2598,880,938">fiel</WORD>
<WORD coords="2664,948,2742,910,947">en</WORD>
<WORD coords="2790,952,2868,912,951">un</WORD>
<WORD coords="2920,966,2990,918,956">pe</WORD>
</LINE>
<LINE>
<WORD coords="656,998,728,960,997">so</WORD>
<WORD coords="788,1010,1224,944,1004">determinado</WORD>
<WORD coords="1258,1022,1276,996,1024">,</WORD>
<WORD coords="1314,1012,1394,956,1010">tal</WORD>
<WORD coords="1446,1018,1626,976,1016">como</WORD>
<WORD coords="1662,1020,1738,968,1021">36</WORD>
<WORD coords="1770,1044,1990,984,1024">granos</WORD>
<WORD coords="2024,1030,2098,974,1030">de</WORD>
<WORD coords="2138,1038,2346,996,1035">marco</WORD>
<WORD coords="2402,1058,2510,1004,1041">por</WORD>
<WORD coords="2550,1070,2818,992,1050">ejemplo</WORD>
<WORD coords="2872,1058,2908,1008,1051">2</WORD>
<WORD coords="2958,1044,3028,954,1044">o&apos;</WORD>
</LINE>
<LINE>
<WORD coords="662,1110,996,1046,1105">Muélanse</WORD>
<WORD coords="1046,1116,1270,1054,1113">huesos</WORD>
<WORD coords="1322,1120,1400,1062,1120">de</WORD>
<WORD coords="1444,1128,1738,1066,1124">animales</WORD>
<WORD coords="1788,1150,2128,1082,1135">quemados</WORD>
<WORD coords="2202,1146,2376,1084,1142">hasta</WORD>
<WORD coords="2444,1164,2698,1112,1153">ponerse</WORD>
<WORD coords="2746,1186,3022,1102,1162">blancos,</WORD>
</LINE>
<LINE>
<WORD coords="652,1222,902,1162,1219">lávense</WORD>
<WORD coords="938,1220,1024,1170,1218">los</WORD>
<WORD coords="1080,1240,1292,1168,1222">polvos</WORD>
<WORD coords="1340,1246,1646,1176,1232">repetidas</WORD>
<WORD coords="1696,1242,1874,1202,1238">veces</WORD>
<WORD coords="1926,1244,2038,1208,1243">con</WORD>
<WORD coords="2088,1270,2224,1192,1248">lejía</WORD>
<WORD coords="2258,1274,2300,1214,1264">y</WORD>
<WORD coords="2330,1254,2382,1198,1254">al</WORD>
<WORD coords="2440,1260,2520,1200,1260">fin</WORD>
<WORD coords="2566,1264,2678,1226,1262">con</WORD>
<WORD coords="2722,1288,2880,1228,1267">agua</WORD>
<WORD coords="2912,1278,2928,1256,1278">,</WORD>
<WORD coords="2972,1290,3016,1232,1290">y</WORD>
</LINE>
<LINE>
<WORD coords="650,1330,946,1276,1328">an,aS!,da</WORD>
<WORD coords="1000,1332,1054,1274,1328">la</WORD>
<WORD coords="1110,1334,1150,1296,1351">&quot;</WORD>
<WORD coords="1152,1338,1364,1278,1335">!atcria</WORD>
<WORD coords="1408,1346,1678,1280,1341">f&lt;5rmese</WORD>
<WORD coords="1850,1370,2032,1288,1353">crispí</WORD>
<WORD coords="2092,1374,2376,1310,1357">pequeño</WORD>
<WORD coords="2406,1366,2478,1328,1365">en</WORD>
<WORD coords="2524,1370,2726,1308,1369">forma</WORD>
<WORD coords="2768,1374,2846,1318,1373">de</WORD>
<WORD coords="2890,1380,3014,1336,1376">una</WORD>
</LINE>
<LINE>
<WORD coords="650,1450,846,1378,1434">cepita</WORD>
<WORD coords="892,1448,906,1424,1453">,</WORD>
<WORD coords="962,1434,1020,1382,1434">al</WORD>
<WORD coords="1078,1452,1194,1402,1439">que</WORD>
<WORD coords="1252,1458,1362,1404,1440">por</WORD>
<WORD coords="1420,1446,1552,1404,1445">esto</WORD>
<WORD coords="1606,1452,1670,1414,1450">se</WORD>
<WORD coords="1720,1454,1898,1396,1451">llama</WORD>
<WORD coords="1944,1482,2178,1402,1458">Copela.</WORD>
<WORD coords="2270,1490,2624,1412,1472">Cosqúese</WORD>
<WORD coords="2686,1476,2738,1420,1475">la</WORD>
<WORD coords="2794,1494,3006,1424,1479">copela</WORD>
</LINE>
<LINE>
<WORD coords="642,1540,718,1504,1539">en</WORD>
<WORD coords="780,1540,836,1486,1539">la</WORD>
<WORD coords="880,1554,1062,1486,1548">mofe</WORD>
<WORD coords="1128,1570,1322,1496,1547">(vaso</WORD>
<WORD coords="1376,1552,1450,1494,1551">de</WORD>
<WORD coords="1496,1558,1676,1494,1552">barro</WORD>
<WORD coords="1734,1564,1932,1508,1560">cocido</WORD>
<WORD coords="1996,1568,2068,1530,1567">en</WORD>
<WORD coords="2126,1572,2184,1516,1570">la</WORD>
<WORD coords="2238,1592,2496,1518,1573">ollería,</WORD>
<WORD coords="2558,1580,2630,1542,1580">en</WORD>
<WORD coords="2664,1608,2898,1526,1592">figura</WORD>
<WORD coords="2928,1586,3004,1528,1585">de</WORD>
</LINE>
<LINE>
<WORD coords="638,1648,862,1590,1645">estribo</WORD>
<WORD coords="920,1670,1260,1592,1650">étbauladoj</WORD>
<WORD coords="1298,1666,1310,1640,1668">,</WORD>
<WORD coords="1346,1670,1462,1620,1658">que</WORD>
<WORD coords="1504,1662,1660,1604,1661">debe</WORD>
<WORD coords="1712,1666,1876,1624,1665">estar</WORD>
<WORD coords="1914,1692,1992,1634,1670">ya</WORD>
<WORD coords="2046,1702,2430,1624,1679">enrrojecida</WORD>
<WORD coords="2466,1690,2684,1630,1688">dentro</WORD>
<WORD coords="2720,1692,2816,1634,1692">del</WORD>
<WORD coords="2852,1692,3000,1634,1692">hor-</WORD>
</LINE>
<LINE>
<WORD coords="636,1758,788,1698,1754">nillo</WORD>
<WORD coords="824,1766,842,1742,1771">,</WORD>
<WORD coords="890,1754,1002,1718,1753">en</WORD>
<WORD coords="1062,1756,1182,1700,1756">dos</WORD>
<WORD coords="1240,1758,1278,1708,1767">ó</WORD>
<WORD coords="1320,1762,1444,1718,1760">tres</WORD>
<WORD coords="1510,1770,1712,1722,1766">tantos</WORD>
<WORD coords="1766,1774,1840,1718,1773">de</WORD>
<WORD coords="1890,1792,1964,1722,1772">ph</WORD>
<WORD coords="1994,1780,2096,1740,1779">mo</WORD>
<WORD coords="2142,1800,2292,1746,1784">puro</WORD>
<WORD coords="2332,1804,2348,1776,1799">,</WORD>
<WORD coords="2378,1794,2556,1752,1792">como</WORD>
<WORD coords="2616,1816,2774,1742,1798">plata</WORD>
<WORD coords="2822,1798,2886,1760,1798">se</WORD>
<WORD coords="2914,1802,2992,1760,1800">va</WORD>
</LINE>
<LINE>
<WORD coords="634,1862,668,1806,1873">á</WORD>
<WORD coords="720,1882,982,1824,1862">ensayar</WORD>
<WORD coords="1012,1864,1026,1828,1874">:</WORD>
<WORD coords="1090,1866,1348,1812,1864">efundo</WORD>
<WORD coords="1394,1870,1450,1814,1869">el</WORD>
<WORD coords="1514,1884,1720,1818,1873">plomo</WORD>
<WORD coords="1764,1886,2086,1824,1882">derretido</WORD>
<WORD coords="2140,1890,2214,1852,1889">en</WORD>
<WORD coords="2270,1892,2326,1838,1892">la</WORD>
<WORD coords="2378,1916,2594,1848,1898">copela</WORD>
<WORD coords="2632,1908,2650,1890,1908">.</WORD>
<WORD coords="2716,1926,2990,1866,1904">póngase</WORD>
</LINE>
<LINE>
<WORD coords="626,1968,702,1930,1967">en</WORD>
<WORD coords="764,1968,974,1910,1966">medio</WORD>
<WORD coords="1038,1968,1088,1916,1967">la</WORD>
<WORD coords="1154,1988,1312,1914,1971">plata</WORD>
<WORD coords="1366,1978,1664,1920,1974">reducida</WORD>
<WORD coords="1722,1980,1748,1944,1980">a</WORD>
<WORD coords="1824,1998,1976,1930,1986">plan.</WORD>
<WORD coords="1996,1992,2156,1930,1988">hitas</WORD>
<WORD coords="2220,2018,2530,1950,2002">pequeñas</WORD>
<WORD coords="2592,2030,2734,1970,2008">para</WORD>
<WORD coords="2786,2012,2988,1952,2010">facili-</WORD>
</LINE>
<LINE>
<WORD coords="620,2078,716,2030,2075">tar</WORD>
<WORD coords="768,2076,838,2040,2074">su</WORD>
<WORD coords="890,2088,1144,2018,2076">fusión,</WORD>
<WORD coords="1202,2100,1244,2044,2097">y</WORD>
<WORD coords="1286,2086,1540,2026,2082">aívese</WORD>
<WORD coords="1594,2088,1648,2034,2086">el</WORD>
<WORD coords="1698,2112,1888,2030,2089">fuego</WORD>
<WORD coords="1948,2098,2058,2058,2094">con</WORD>
<WORD coords="2112,2104,2244,2044,2100">leña</WORD>
<WORD coords="2300,2124,2438,2070,2108">para</WORD>
<WORD coords="2506,2132,2626,2078,2115">que</WORD>
<WORD coords="2694,2118,2750,2062,2117">la</WORD>
<WORD coords="2808,2120,2990,2062,2117">llama</WORD>
</LINE>
<LINE>
<WORD coords="622,2182,952,2126,2180">reve.bt-re</WORD>
<WORD coords="1010,2186,1188,2128,2182">sobre</WORD>
<WORD coords="1244,2188,1300,2130,2187">el</WORD>
<WORD coords="1358,2192,1564,2138,2190">metal.</WORD>
<WORD coords="1654,2198,1916,2138,2195">Cuando</WORD>
<WORD coords="1962,2204,2112,2148,2202">todo</WORD>
<WORD coords="2162,2208,2214,2156,2206">el</WORD>
<WORD coords="2252,2216,2458,2158,2213">plomo</WORD>
<WORD coords="2494,2226,2774,2166,2222">oxidado</WORD>
<WORD coords="2816,2244,2854,2188,2234">y</WORD>
<WORD coords="2888,2224,2980,2168,2224">vi-</WORD>
</LINE>
<LINE>
<WORD coords="618,2288,660,2228,2286">ti</WORD>
<WORD coords="706,2286,738,2230,2286">fi</WORD>
<WORD coords="786,2286,902,2232,2286">ado</WORD>
<WORD coords="958,2310,1370,2232,2291">desaparezca</WORD>
<WORD coords="1428,2296,1506,2240,2295">de</WORD>
<WORD coords="1566,2298,1616,2246,2297">la</WORD>
<WORD coords="1666,2320,1874,2248,2300">copela</WORD>
<WORD coords="1916,2314,1932,2296,2314">,</WORD>
<WORD coords="1974,2332,2022,2254,2319">(1</WORD>
<WORD coords="2132,2332,2250,2278,2314">que</WORD>
<WORD coords="2308,2320,2370,2282,2319">se</WORD>
<WORD coords="2430,2328,2656,2286,2325">conoce</WORD>
<WORD coords="2738,2348,2840,2294,2331">por</WORD>
<WORD coords="2918,2336,2978,2276,2334">el</WORD>
</LINE>
<LINE>
<WORD coords="614,2396,796,2338,2395">btíllo</WORD>
<WORD coords="868,2396,962,2340,2395">de!</WORD>
<WORD coords="1020,2410,1252,2344,2398">meta!,</WORD>
<WORD coords="1300,2420,1420,2366,2402">que</WORD>
<WORD coords="1468,2406,1542,2366,2405">va</WORD>
<WORD coords="1580,2416,2074,2358,2410">aumentándose</WORD>
<WORD coords="2126,2420,2152,2372,2420">á</WORD>
<WORD coords="2212,2430,2458,2370,2426">medida</WORD>
<WORD coords="2508,2452,2626,2396,2433">que</WORD>
<WORD coords="2674,2436,2738,2398,2435">se</WORD>
<WORD coords="2798,2452,2966,2380,2436">puri-</WORD>
</LINE>
<LINE>
<WORD coords="608,2502,646,2444,2502">fi</WORD>
<WORD coords="692,2504,760,2466,2502">a.</WORD>
<WORD coords="830,2520,864,2464,2522">y</WORD>
<WORD coords="928,2502,992,2466,2502">se</WORD>
<WORD coords="1046,2504,1232,2448,2502">cubre</WORD>
<WORD coords="1288,2508,1366,2450,2506">de</WORD>
<WORD coords="1414,2510,1516,2456,2509">luz</WORD>
<WORD coords="1570,2518,1854,2456,2513">brillante</WORD>
<WORD coords="1920,2524,2062,2466,2520">toda</WORD>
<WORD coords="2116,2528,2188,2490,2526">su</WORD>
<WORD coords="2220,2548,2540,2476,2533">superficie</WORD>
<WORD coords="2574,2548,2590,2526,2546">,</WORD>
<WORD coords="2636,2544,2878,2486,2541">cuando</WORD>
<WORD coords="2912,2548,2970,2488,2546">lo</WORD>
</LINE>
<LINE>
<WORD coords="606,2630,770,2552,2610">esta)</WORD>
<WORD coords="808,2622,826,2598,2620">,</WORD>
<WORD coords="870,2608,932,2572,2608">se</WORD>
<WORD coords="994,2610,1126,2574,2609">saca</WORD>
<WORD coords="1170,2630,1210,2574,2630">y</WORD>
<WORD coords="1258,2634,1396,2556,2612">deja</WORD>
<WORD coords="1446,2618,1678,2560,2615">enfriar</WORD>
<WORD coords="1724,2622,1776,2568,2622">la</WORD>
<WORD coords="1828,2644,2060,2574,2626">copela.</WORD>
<WORD coords="2152,2632,2184,2586,2632">3</WORD>
<WORD coords="2234,2632,2270,2582,2632">P</WORD>
<WORD coords="2358,2644,2582,2582,2640">Pésese</WORD>
<WORD coords="2626,2646,2704,2590,2646">de</WORD>
<WORD coords="2760,2654,2964,2612,2651">nue(;o</WORD>
</LINE>
<LINE>
<WORD coords="600,2718,654,2660,2718">e!</WORD>
<WORD coords="706,2716,890,2660,2715">botón</WORD>
<WORD coords="950,2714,1026,2660,2714">de</WORD>
<WORD coords="1082,2730,1240,2664,2715">plata</WORD>
<WORD coords="1288,2720,1426,2662,2718">bien</WORD>
<WORD coords="1476,2742,1688,2666,2723">limpio</WORD>
<WORD coords="1730,2750,1816,2692,2741">,y</WORD>
<WORD coords="1874,2732,1928,2674,2732">la</WORD>
<WORD coords="1986,2752,2154,2694,2737">parte</WORD>
<WORD coords="2202,2760,2320,2706,2743">que</WORD>
<WORD coords="2368,2750,2598,2708,2746">merme</WORD>
<WORD coords="2632,2752,2760,2714,2750">sera</WORD>
<WORD coords="2796,2776,2964,2698,2754">igual</WORD>
</LINE>
<LINE>
<WORD coords="598,2824,630,2768,2832">á</WORD>
<WORD coords="696,2822,746,2766,2822">la</WORD>
<WORD coords="804,2844,924,2766,2820">liga</WORD>
<WORD coords="988,2836,1106,2786,2822">que</WORD>
<WORD coords="1166,2824,1328,2766,2822">tiene</WORD>
<WORD coords="1390,2826,1436,2772,2825">la</WORD>
<WORD coords="1494,2834,1690,2772,2829">barra.</WORD>
<WORD coords="1792,2832,1832,2780,2832">P</WORD>
<WORD coords="1838,2838,1908,2800,2837">or</WORD>
<WORD coords="1966,2868,2390,2790,2846">consiguiente</WORD>
<WORD coords="2420,2866,2436,2840,2825">,</WORD>
<WORD coords="2464,2854,2536,2774,2854">&apos;si</WORD>
<WORD coords="2594,2858,2822,2818,2856">merma</WORD>
<WORD coords="2882,2864,2956,2812,2862">18</WORD>
</LINE>
<LINE>
<WORD coords="592,2950,820,2890,2927">granos</WORD>
<WORD coords="878,2928,914,2876,2936">ó</WORD>
<WORD coords="996,2928,1050,2872,2927">la</WORD>
<WORD coords="1114,2932,1304,2872,2928">mitad</WORD>
<WORD coords="1362,2932,1436,2876,2932">de</WORD>
<WORD coords="1492,2936,1580,2878,2934">ios</WORD>
<WORD coords="1642,2938,1720,2886,2940">36</WORD>
<WORD coords="1780,2960,1896,2906,2943">que</WORD>
<WORD coords="1952,2952,2134,2906,2948">antes</WORD>
<WORD coords="2194,2974,2462,2900,2954">pesaba,</WORD>
<WORD coords="2510,2960,2576,2920,2959">se</WORD>
<WORD coords="2636,2962,2770,2906,2960">dirá</WORD>
<WORD coords="2832,2986,2954,2930,2969">que</WORD>
</LINE>
<LINE>
<WORD coords="590,3034,676,2978,3034">di;</WORD>
<WORD coords="702,3034,776,2980,3034">ha</WORD>
<WORD coords="842,3050,1000,2980,3034">plata</WORD>
<WORD coords="1060,3036,1220,2982,3035">tiene</WORD>
<WORD coords="1274,3040,1350,2984,3039">de</WORD>
<WORD coords="1406,3044,1644,2988,3042">mezcla</WORD>
<WORD coords="1714,3046,1768,2990,3046">la</WORD>
<WORD coords="1830,3054,2026,2994,3051">mitad</WORD>
<WORD coords="2088,3056,2166,3000,3056">de</WORD>
<WORD coords="2226,3062,2298,3024,3060">su</WORD>
<WORD coords="2358,3080,2502,3026,3066">peso</WORD>
<WORD coords="2536,3084,2552,3054,3075">,</WORD>
<WORD coords="2610,3066,2648,3012,3066">ó</WORD>
<WORD coords="2710,3084,2826,3032,3070">que</WORD>
<WORD coords="2880,3076,2950,3036,3075">es</WORD>
</LINE>
<LINE>
<WORD coords="588,3140,670,3084,3139">de</WORD>
<WORD coords="730,3140,768,3090,3149">6</WORD>
<WORD coords="812,3144,1084,3086,3141">dineros.</WORD>
<WORD coords="1172,3146,1236,3088,3145">Si</WORD>
<WORD coords="1300,3148,1464,3090,3147">tiene</WORD>
<WORD coords="1512,3152,1590,3094,3151">de</WORD>
<WORD coords="1640,3154,1850,3116,3153">menos</WORD>
<WORD coords="1916,3160,1986,3112,3160">12</WORD>
<WORD coords="2032,3180,2250,3126,3162">granos</WORD>
<WORD coords="2304,3166,2340,3112,3166">ó</WORD>
<WORD coords="2398,3172,2448,3120,3169">la</WORD>
<WORD coords="2514,3174,2746,3126,3171">tercera</WORD>
<WORD coords="2804,3196,2946,3140,3178">par-</WORD>
</LINE>
<LINE>
<WORD coords="582,3244,644,3198,3243">te</WORD>
<WORD coords="674,3254,688,3232,3259">,</WORD>
<WORD coords="746,3246,880,3210,3245">sera</WORD>
<WORD coords="940,3250,1012,3214,3249">su</WORD>
<WORD coords="1050,3272,1144,3196,3251">ley</WORD>
<WORD coords="1190,3254,1268,3198,3254">de</WORD>
<WORD coords="1324,3254,1362,3200,3259">9</WORD>
<WORD coords="1414,3262,1688,3198,3257">dineros.</WORD>
<WORD coords="1782,3268,1930,3204,3265">Este</WORD>
<WORD coords="1984,3292,2208,3230,3268">ensaye</WORD>
<WORD coords="2268,3276,2332,3238,3275">se</WORD>
<WORD coords="2380,3280,2562,3220,3278">llama</WORD>
<WORD coords="2612,3300,2722,3242,3280">por</WORD>
<WORD coords="2774,3304,2942,3236,3282">cope,</WORD>
</LINE>
<LINE>
<WORD coords="582,3352,780,3292,3350">lucion</WORD>
<WORD coords="830,3354,864,3300,3356">ó</WORD>
<WORD coords="924,3374,1034,3320,3355">por</WORD>
<WORD coords="1092,3358,1146,3304,3358">la</WORD>
<WORD coords="1204,3364,1306,3306,3361">via</WORD>
<WORD coords="1362,3370,1516,3330,3367">seca.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="834,3462,1004,3404,3460">Para</WORD>
<WORD coords="1046,3488,1314,3428,3467">ensayar</WORD>
<WORD coords="1366,3474,1424,3420,3473">el</WORD>
<WORD coords="1464,3476,1568,3438,3474">oro</WORD>
<WORD coords="1614,3478,1678,3442,3478">se</WORD>
<WORD coords="1760,3504,2070,3424,3483">ejecutará</WORD>
<WORD coords="2128,3490,2186,3432,3488">lo</WORD>
<WORD coords="2248,3514,2556,3434,3493">siguiente</WORD>
<WORD coords="2592,3504,2610,3460,3501">;</WORD>
<WORD coords="2668,3498,2694,3446,3491">1</WORD>
<WORD coords="2748,3478,2784,3442,3481">=</WORD>
<WORD coords="2854,3498,2934,3440,3498">Se</WORD>
</LINE>
<LINE>
<WORD coords="570,3566,740,3518,3564">toma</WORD>
<WORD coords="810,3566,908,3510,3566">de!</WORD>
<WORD coords="968,3592,1094,3518,3570">tejo</WORD>
<WORD coords="1142,3582,1460,3520,3578">derretido</WORD>
<WORD coords="1504,3584,1584,3548,3583">un</WORD>
<WORD coords="1642,3604,1946,3534,3588">pedaciüo</WORD>
<WORD coords="1980,3598,1996,3562,3597">:</WORD>
<WORD coords="2050,3596,2114,3558,3596">se</WORD>
<WORD coords="2162,3598,2218,3542,3597">le</WORD>
<WORD coords="2292,3602,2520,3548,3601">reduce</WORD>
<WORD coords="2578,3600,2608,3548,3600">á</WORD>
<WORD coords="2670,3620,2930,3546,3602">plancha</WORD>
</LINE>
<LINE>
<WORD coords="568,3690,720,3634,3670">muy</WORD>
<WORD coords="770,3692,1030,3616,3671">delgada</WORD>
<WORD coords="1086,3696,1124,3642,3695">y</WORD>
<WORD coords="1180,3684,1242,3646,3682">se</WORD>
<WORD coords="1304,3702,1446,3648,3686">pesa</WORD>
<WORD coords="1504,3688,1576,3652,3687">en</WORD>
<WORD coords="1642,3692,1718,3656,3691">un</WORD>
<WORD coords="1782,3712,1930,3658,3696">peso</WORD>
<WORD coords="1986,3706,2412,3644,3701">determinado</WORD>
<WORD coords="2448,3718,2462,3696,3713">,</WORD>
<WORD coords="2492,3708,2574,3650,3706">tal</WORD>
<WORD coords="2600,3708,2778,3670,3707">como</WORD>
<WORD coords="2810,3710,2924,3652,3708">dos</WORD>
</LINE>
<LINE>
<WORD coords="566,3778,836,3720,3775">tomines</WORD>
<WORD coords="898,3780,938,3724,3789">ó</WORD>
<WORD coords="986,3782,1064,3734,3786">24</WORD>
<WORD coords="1124,3804,1366,3748,3786">granos.</WORD>
<WORD coords="1456,3794,1492,3746,3794">2</WORD>
<WORD coords="1502,3794,1514,3778,3796">.</WORD>
<WORD coords="1538,3776,1576,3740,3776">o</WORD>
<WORD coords="1658,3800,1806,3742,3798">Este</WORD>
<WORD coords="1864,3802,1972,3764,3801">oro</WORD>
<WORD coords="2030,3822,2262,3750,3806">pesado</WORD>
<WORD coords="2316,3812,2382,3774,3811">se</WORD>
<WORD coords="2444,3832,2654,3762,3814">copela</WORD>
<WORD coords="2714,3834,2822,3778,3814">por</WORD>
<WORD coords="2866,3820,2922,3764,3818">el</WORD>
</LINE>
<LINE>
<WORD coords="564,3886,818,3832,3884">método</WORD>
<WORD coords="884,3890,1152,3836,3888">anterior</WORD>
<WORD coords="1210,3896,1318,3860,3894">con</WORD>
<WORD coords="1376,3900,1494,3846,3900">dos</WORD>
<WORD coords="1546,3902,1584,3848,3903">ó</WORD>
<WORD coords="1630,3906,1754,3858,3904">tres</WORD>
<WORD coords="1812,3914,2012,3862,3910">tantos</WORD>
<WORD coords="2066,3914,2140,3858,3913">de</WORD>
<WORD coords="2196,3930,2350,3862,3916">plata</WORD>
<WORD coords="2394,3938,2432,3884,3929">y</WORD>
<WORD coords="2490,3920,2542,3868,3920">la</WORD>
<WORD coords="2602,3922,2798,3866,3920">mitad</WORD>
<WORD coords="2840,3924,2918,3866,3923">de</WORD>
</LINE>
<LINE>
<WORD coords="560,3998,638,3948,3994">íu</WORD>
<WORD coords="704,4012,852,3956,3995">peso</WORD>
<WORD coords="912,3998,992,3940,3998">de</WORD>
<WORD coords="1058,4020,1268,3946,4001">plomo</WORD>
<WORD coords="1320,4026,1472,3968,4008">puro</WORD>
<WORD coords="1504,4026,1520,3976,4021">¡</WORD>
<WORD coords="1570,4014,1634,3974,4012">se</WORD>
<WORD coords="1688,4022,1930,3968,4018">mezcla</WORD>
<WORD coords="1988,4024,2128,3962,4022">bien</WORD>
<WORD coords="2170,4024,2226,3968,4024">la</WORD>
<WORD coords="2276,4030,2482,3964,4027">fusión</WORD>
<WORD coords="2512,4040,2526,4010,4040">,</WORD>
<WORD coords="2580,4048,2624,3990,4040">y</WORD>
<WORD coords="2680,4032,2926,3974,4031">cuando</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0106.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0107.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0107.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1332,584,1474,488,583">97</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="216,701,635,635,691">desaparezca</WORD>
<WORD coords="694,692,750,635,692">e!</WORD>
<WORD coords="811,712,1018,635,693">plomo</WORD>
<WORD coords="1054,708,1073,681,703">,</WORD>
<WORD coords="1130,695,1200,656,694">se</WORD>
<WORD coords="1260,698,1400,659,696">saca</WORD>
<WORD coords="1444,719,1484,662,719">y</WORD>
<WORD coords="1543,722,1682,643,699">deja</WORD>
<WORD coords="1738,701,1966,645,699">enfriar</WORD>
<WORD coords="2016,703,2070,646,698">ta</WORD>
<WORD coords="2140,728,2259,648,704">liga</WORD>
<WORD coords="2321,709,2398,652,708">de</WORD>
<WORD coords="2472,727,2583,664,708">of^</WORD>
</LINE>
<LINE>
<WORD coords="215,819,254,758,818">y</WORD>
<WORD coords="301,817,456,741,797">plata</WORD>
<WORD coords="505,813,622,761,797">que</WORD>
<WORD coords="678,799,756,741,797">ha</WORD>
<WORD coords="814,818,1121,743,799">quedado.</WORD>
<WORD coords="1165,800,1219,749,800">3.</WORD>
<WORD coords="1249,782,1285,746,793">°</WORD>
<WORD coords="1341,817,1484,745,806">Esta,</WORD>
<WORD coords="1519,825,1640,751,803">liga</WORD>
<WORD coords="1686,807,1749,771,806">se</WORD>
<WORD coords="1806,810,2031,753,807">reduce</WORD>
<WORD coords="2088,810,2116,764,810">á</WORD>
<WORD coords="2176,830,2427,758,811">plancha</WORD>
<WORD coords="2460,814,2586,760,813">lar-</WORD>
</LINE>
<LINE>
<WORD coords="216,924,298,864,903">ga</WORD>
<WORD coords="343,923,382,866,923">y</WORD>
<WORD coords="430,924,689,846,901">delgada</WORD>
<WORD coords="718,919,735,891,914">,</WORD>
<WORD coords="770,904,836,866,904">se</WORD>
<WORD coords="881,904,936,851,903">la</WORD>
<WORD coords="987,906,1241,867,904">enrosca</WORD>
<WORD coords="1297,908,1329,854,909">á</WORD>
<WORD coords="1374,911,1617,872,909">manera</WORD>
<WORD coords="1666,912,1741,857,912">de</WORD>
<WORD coords="1807,917,2156,860,915">cucurucho</WORD>
<WORD coords="2196,921,2211,884,919">:</WORD>
<WORD coords="2272,917,2336,883,917">se</WORD>
<WORD coords="2385,917,2439,864,916">la</WORD>
<WORD coords="2471,937,2579,883,918">po»</WORD>
</LINE>
<LINE>
<WORD coords="212,1008,291,969,1008">ne</WORD>
<WORD coords="349,1008,423,970,1007">en</WORD>
<WORD coords="470,1009,551,970,1007">un</WORD>
<WORD coords="604,1010,836,963,1008">matraz</WORD>
<WORD coords="897,1028,1181,958,1010">pequeño</WORD>
<WORD coords="1214,1024,1229,1001,1024">,</WORD>
<WORD coords="1256,1032,1297,975,1023">y</WORD>
<WORD coords="1353,1014,1418,977,1012">se</WORD>
<WORD coords="1467,1017,1618,959,1015">echa</WORD>
<WORD coords="1662,1019,1899,963,1017">encima</WORD>
<WORD coords="1960,1022,2133,984,1020">cerca</WORD>
<WORD coords="2179,1027,2254,970,1026">de</WORD>
<WORD coords="2316,1026,2438,989,1025">una</WORD>
<WORD coords="2469,1023,2489,990,1023">e</WORD>
<WORD coords="2508,1024,2582,988,1024">n.</WORD>
</LINE>
<LINE>
<WORD coords="212,1117,293,1075,1114">xa</WORD>
<WORD coords="337,1114,414,1058,1113">de</WORD>
<WORD coords="495,1114,679,1056,1112">acido</WORD>
<WORD coords="737,1117,962,1058,1114">nítrico</WORD>
<WORD coords="1022,1133,1141,1080,1116">que</WORD>
<WORD coords="1197,1119,1421,1062,1116">llaman</WORD>
<WORD coords="1483,1140,1647,1083,1120">agua</WORD>
<WORD coords="1709,1145,1929,1065,1126">fuerte</WORD>
<WORD coords="1963,1137,1979,1112,1137">f</WORD>
<WORD coords="2032,1132,2457,1073,1129">mezclándole</WORD>
<WORD coords="2517,1136,2580,1079,1134">la</WORD>
</LINE>
<LINE>
<WORD coords="214,1221,413,1162,1219">mitad</WORD>
<WORD coords="493,1220,570,1162,1219">de</WORD>
<WORD coords="656,1222,731,1183,1220">su</WORD>
<WORD coords="808,1238,954,1184,1222">peso</WORD>
<WORD coords="1036,1222,1113,1167,1222">de</WORD>
<WORD coords="1175,1242,1331,1186,1222">agua</WORD>
<WORD coords="1363,1226,1379,1190,1227">:</WORD>
<WORD coords="1426,1227,1490,1190,1226">se</WORD>
<WORD coords="1576,1245,1729,1190,1226">pone</WORD>
<WORD coords="1808,1230,1928,1191,1229">una</WORD>
<WORD coords="1997,1235,2200,1191,1232">sartén</WORD>
<WORD coords="2268,1237,2423,1181,1235">llena</WORD>
<WORD coords="2496,1237,2578,1180,1236">de</WORD>
</LINE>
<LINE>
<WORD coords="205,1329,393,1288,1327">arena</WORD>
<WORD coords="481,1326,668,1269,1324">sobre</WORD>
<WORD coords="744,1326,799,1271,1325">el</WORD>
<WORD coords="851,1343,1038,1268,1328">fuego</WORD>
<WORD coords="1073,1342,1090,1316,1342">,</WORD>
<WORD coords="1153,1349,1194,1290,1340">y</WORD>
<WORD coords="1259,1328,1312,1274,1328">el</WORD>
<WORD coords="1375,1332,1527,1294,1330">vaso</WORD>
<WORD coords="1593,1334,1658,1297,1333">se</WORD>
<WORD coords="1733,1358,2004,1279,1334">sumerje</WORD>
<WORD coords="2065,1339,2140,1302,1338">en</WORD>
<WORD coords="2187,1340,2316,1294,1338">esta</WORD>
<WORD coords="2372,1339,2579,1299,1336">arena:</WORD>
</LINE>
<LINE>
<WORD coords="214,1434,284,1395,1432">se</WORD>
<WORD coords="350,1429,428,1393,1428">va</WORD>
<WORD coords="483,1432,848,1374,1429">calentando</WORD>
<WORD coords="902,1434,1270,1377,1433">lentamente</WORD>
<WORD coords="1317,1436,1490,1377,1435">hasta</WORD>
<WORD coords="1551,1456,1670,1402,1439">que</WORD>
<WORD coords="1740,1439,1794,1384,1438">el</WORD>
<WORD coords="1859,1443,2012,1384,1441">licor</WORD>
<WORD coords="2079,1445,2248,1398,1443">entre</WORD>
<WORD coords="2307,1444,2380,1406,1443">en</WORD>
<WORD coords="2436,1444,2580,1384,1441">her-</WORD>
</LINE>
<LINE>
<WORD coords="217,1537,329,1498,1534">vor</WORD>
<WORD coords="368,1549,386,1502,1546">;</WORD>
<WORD coords="472,1536,757,1477,1534">fenecido</WORD>
<WORD coords="808,1539,938,1493,1538">este</WORD>
<WORD coords="980,1560,1021,1503,1552">y</WORD>
<WORD coords="1070,1544,1331,1486,1541">estando</WORD>
<WORD coords="1377,1545,1434,1488,1543">la</WORD>
<WORD coords="1507,1564,1665,1489,1543">plata</WORD>
<WORD coords="1744,1546,1821,1489,1545">de</WORD>
<WORD coords="1877,1550,2045,1492,1548">color</WORD>
<WORD coords="2108,1569,2296,1496,1551">pardo</WORD>
<WORD coords="2325,1565,2343,1537,1558">,</WORD>
<WORD coords="2400,1551,2465,1513,1550">se</WORD>
<WORD coords="2522,1551,2580,1495,1547">le</WORD>
</LINE>
<LINE>
<WORD coords="215,1646,407,1584,1642">muda</WORD>
<WORD coords="454,1641,510,1586,1639">el</WORD>
<WORD coords="563,1642,746,1585,1641">acido</WORD>
<WORD coords="802,1643,877,1607,1642">en</WORD>
<WORD coords="940,1646,1236,1591,1644">cantidad</WORD>
<WORD coords="1299,1650,1476,1613,1648">como</WORD>
<WORD coords="1536,1652,1612,1596,1652">de</WORD>
<WORD coords="1671,1654,1790,1614,1652">una</WORD>
<WORD coords="1837,1654,1987,1615,1653">onza</WORD>
<WORD coords="2024,1676,2063,1620,1666">y</WORD>
<WORD coords="2111,1657,2176,1620,1656">se</WORD>
<WORD coords="2230,1655,2379,1598,1654">hace</WORD>
<WORD coords="2433,1656,2574,1595,1654">her-</WORD>
</LINE>
<LINE>
<WORD coords="214,1749,314,1694,1747">vir</WORD>
<WORD coords="364,1748,441,1692,1747">de</WORD>
<WORD coords="495,1748,718,1709,1746">nuevo.</WORD>
<WORD coords="812,1752,1077,1694,1750">Cuando</WORD>
<WORD coords="1140,1754,1201,1697,1752">el</WORD>
<WORD coords="1257,1756,1436,1697,1753">acido</WORD>
<WORD coords="1504,1777,1582,1719,1755">ya</WORD>
<WORD coords="1637,1756,1715,1720,1756">no</WORD>
<WORD coords="1770,1780,1952,1712,1757">tenga</WORD>
<WORD coords="2003,1764,2212,1707,1761">acción</WORD>
<WORD coords="2269,1762,2445,1707,1761">sobre</WORD>
<WORD coords="2516,1762,2577,1704,1762">el</WORD>
</LINE>
<LINE>
<WORD coords="214,1855,402,1798,1853">metal</WORD>
<WORD coords="436,1867,453,1842,1867">,</WORD>
<WORD coords="480,1872,714,1816,1854">porque</WORD>
<WORD coords="768,1876,844,1818,1856">ya</WORD>
<WORD coords="907,1857,985,1819,1856">no</WORD>
<WORD coords="1015,1858,1230,1799,1856">hierve</WORD>
<WORD coords="1264,1875,1282,1847,1868">,</WORD>
<WORD coords="1309,1862,1372,1823,1860">se</WORD>
<WORD coords="1423,1862,1479,1805,1860">le</WORD>
<WORD coords="1539,1865,1794,1807,1863">decanta</WORD>
<WORD coords="1841,1866,1879,1811,1866">ó</WORD>
<WORD coords="1924,1869,2076,1810,1868">echa</WORD>
<WORD coords="2135,1870,2484,1811,1868">inclinando</WORD>
<WORD coords="2516,1870,2578,1809,1869">el</WORD>
</LINE>
<LINE>
<WORD coords="212,1961,363,1922,1960">vaso</WORD>
<WORD coords="395,1963,412,1925,1967">:</WORD>
<WORD coords="465,1961,529,1926,1960">se</WORD>
<WORD coords="575,1962,711,1924,1961">saca</WORD>
<WORD coords="777,1964,831,1909,1963">el</WORD>
<WORD coords="881,1966,1136,1926,1964">cucuruí</WORD>
<WORD coords="1156,1971,1288,1910,1968">hito</WORD>
<WORD coords="1319,1986,1335,1960,1980">,</WORD>
<WORD coords="1378,1974,1444,1937,1972">se</WORD>
<WORD coords="1501,1975,1636,1920,1973">lava</WORD>
<WORD coords="1691,1977,1765,1940,1976">en</WORD>
<WORD coords="1820,1998,1976,1941,1977">agua</WORD>
<WORD coords="2038,1998,2074,1943,1989">y</WORD>
<WORD coords="2132,1980,2196,1943,1979">se</WORD>
<WORD coords="2277,1979,2330,1925,1978">le</WORD>
<WORD coords="2393,1978,2573,1940,1977">enró-</WORD>
</LINE>
<LINE>
<WORD coords="212,2092,354,2012,2067">jese</WORD>
<WORD coords="409,2069,463,2014,2068">al</WORD>
<WORD coords="526,2092,712,2011,2070">fiugo</WORD>
<WORD coords="765,2073,943,2018,2071">sobre</WORD>
<WORD coords="996,2074,1051,2018,2073">el</WORD>
<WORD coords="1094,2078,1302,2018,2074">crisol.</WORD>
<WORD coords="1391,2078,1512,2023,2073">4.°</WORD>
<WORD coords="1604,2084,1826,2024,2081">Pésese</WORD>
<WORD coords="1877,2087,2003,2039,2084">este</WORD>
<WORD coords="2059,2085,2169,2048,2084">oro</WORD>
<WORD coords="2230,2104,2574,2026,2084">purificado</WORD>
</LINE>
<LINE>
<WORD coords="207,2196,252,2137,2190">y</WORD>
<WORD coords="305,2175,489,2118,2173">véase</WORD>
<WORD coords="545,2174,601,2120,2173">la</WORD>
<WORD coords="667,2176,897,2137,2175">merma</WORD>
<WORD coords="931,2189,948,2164,2189">,</WORD>
<WORD coords="1007,2195,1127,2142,2179">que</WORD>
<WORD coords="1207,2182,1342,2143,2180">sera</WORD>
<WORD coords="1409,2204,1575,2129,2184">igual</WORD>
<WORD coords="1637,2186,1665,2130,2186">á</WORD>
<WORD coords="1726,2189,1780,2133,2187">la</WORD>
<WORD coords="1828,2191,2065,2133,2189">mezcla</WORD>
<WORD coords="2112,2208,2230,2154,2191">que</WORD>
<WORD coords="2288,2193,2436,2135,2192">tubo</WORD>
<WORD coords="2494,2198,2574,2138,2196">de</WORD>
</LINE>
<LINE>
<WORD coords="210,2281,305,2224,2279">los</WORD>
<WORD coords="360,2280,570,2223,2279">demás</WORD>
<WORD coords="624,2281,900,2225,2278">metales.</WORD>
<WORD coords="995,2286,1112,2227,2283">Asi</WORD>
<WORD coords="1167,2285,1232,2249,2285">es</WORD>
<WORD coords="1264,2300,1281,2274,2300">,</WORD>
<WORD coords="1313,2307,1434,2249,2289">que</WORD>
<WORD coords="1488,2290,1536,2233,2290">si</WORD>
<WORD coords="1598,2294,1827,2254,2292">merma</WORD>
<WORD coords="1886,2295,1926,2244,2295">4</WORD>
<WORD coords="1968,2315,2189,2258,2295">granos</WORD>
<WORD coords="2241,2299,2319,2242,2298">de</WORD>
<WORD coords="2372,2299,2462,2243,2297">los</WORD>
<WORD coords="2494,2299,2576,2245,2298">24</WORD>
</LINE>
<LINE>
<WORD coords="209,2403,329,2346,2383">que</WORD>
<WORD coords="387,2383,559,2341,2382">antes</WORD>
<WORD coords="619,2403,767,2328,2384">pesó</WORD>
<WORD coords="799,2402,816,2374,2397">,</WORD>
<WORD coords="863,2390,1078,2333,2388">tendrá</WORD>
<WORD coords="1140,2391,1195,2335,2390">el</WORD>
<WORD coords="1248,2392,1357,2356,2391">oro</WORD>
<WORD coords="1416,2395,1531,2358,2394">una</WORD>
<WORD coords="1588,2398,1750,2352,2396">sesta</WORD>
<WORD coords="1827,2416,1995,2356,2399">parte</WORD>
<WORD coords="2048,2401,2127,2345,2401">de</WORD>
<WORD coords="2186,2404,2425,2346,2403">mezcla</WORD>
<WORD coords="2453,2418,2472,2389,2406">,</WORD>
<WORD coords="2529,2406,2574,2346,2406">6</WORD>
</LINE>
<LINE>
<WORD coords="206,2492,346,2452,2489">sera</WORD>
<WORD coords="398,2490,477,2434,2489">de</WORD>
<WORD coords="527,2492,607,2441,2494">20</WORD>
<WORD coords="659,2510,922,2436,2492">quilates</WORD>
<WORD coords="955,2495,969,2461,2498">:</WORD>
<WORD coords="1008,2495,1058,2446,2495">si</WORD>
<WORD coords="1109,2500,1344,2460,2497">merma</WORD>
<WORD coords="1392,2500,1426,2451,2500">8</WORD>
<WORD coords="1474,2522,1702,2466,2501">granos</WORD>
<WORD coords="1736,2505,1772,2451,2505">ó</WORD>
<WORD coords="1820,2507,1875,2453,2506">la</WORD>
<WORD coords="1928,2510,2163,2463,2508">tercera</WORD>
<WORD coords="2219,2523,2388,2465,2506">parte</WORD>
<WORD coords="2424,2522,2443,2496,2516">,</WORD>
<WORD coords="2473,2511,2572,2472,2509">se-</WORD>
</LINE>
<LINE>
<WORD coords="206,2593,272,2555,2593">ra</WORD>
<WORD coords="316,2596,389,2559,2595">su</WORD>
<WORD coords="420,2616,520,2540,2594">ley</WORD>
<WORD coords="550,2596,626,2540,2596">de</WORD>
<WORD coords="676,2597,747,2545,2599">16</WORD>
<WORD coords="809,2615,1094,2544,2599">quilates.</WORD>
<WORD coords="1188,2605,1279,2545,2603">La</WORD>
<WORD coords="1339,2624,1736,2549,2606">purificación</WORD>
<WORD coords="1796,2612,1896,2557,2611">del</WORD>
<WORD coords="1950,2612,2058,2576,2611">oro</WORD>
<WORD coords="2118,2633,2227,2575,2611">por</WORD>
<WORD coords="2279,2612,2334,2558,2612">el</WORD>
<WORD coords="2393,2636,2554,2577,2615">agua</WORD>
</LINE>
<LINE>
<WORD coords="206,2700,241,2639,2700">f</WORD>
<WORD coords="260,2700,408,2655,2699">íerte</WORD>
<WORD coords="439,2716,457,2688,2716">,</WORD>
<WORD coords="512,2720,918,2647,2702">separándole</WORD>
<WORD coords="979,2703,1032,2648,2702">la</WORD>
<WORD coords="1095,2720,1255,2650,2704">plata</WORD>
<WORD coords="1289,2720,1305,2696,2715">,</WORD>
<WORD coords="1362,2710,1428,2673,2709">se</WORD>
<WORD coords="1487,2712,1671,2655,2710">llama</WORD>
<WORD coords="1724,2713,1775,2660,2712">el</WORD>
<WORD coords="1838,2725,2134,2664,2717">apartado</WORD>
<WORD coords="2193,2741,2233,2684,2732">y</WORD>
<WORD coords="2291,2724,2565,2666,2721">también</WORD>
</LINE>
<LINE>
<WORD coords="199,2803,256,2749,2802">el</WORD>
<WORD coords="322,2828,547,2768,2804">ensaye</WORD>
<WORD coords="601,2824,710,2770,2806">por</WORD>
<WORD coords="764,2808,819,2754,2808">la</WORD>
<WORD coords="877,2812,979,2771,2811">vía</WORD>
<WORD coords="1054,2817,1328,2754,2812">húmeda.</WORD>
<WORD coords="1418,2840,1643,2761,2820">(Bails</WORD>
<WORD coords="1676,2838,1693,2808,2832">,</WORD>
<WORD coords="1740,2826,2003,2763,2824">Bnsson</WORD>
<WORD coords="2033,2843,2051,2812,2843">,</WORD>
<WORD coords="2100,2850,2362,2768,2828">Chaptal</WORD>
<WORD coords="2387,2847,2406,2817,2839">,</WORD>
<WORD coords="2448,2832,2566,2772,2831">Fo-</WORD>
</LINE>
<LINE>
<WORD coords="201,2931,431,2869,2908">urcrey</WORD>
<WORD coords="464,2925,480,2900,2925">,</WORD>
<WORD coords="534,2939,900,2857,2915">MacquerJ.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="448,3027,936,2964,3021">Demostración.</WORD>
<WORD coords="1029,3029,1120,2971,3028">La</WORD>
<WORD coords="1187,3049,1399,2974,3030">copela</WORD>
<WORD coords="1463,3035,1620,2976,3034">debe</WORD>
<WORD coords="1678,3039,1930,2979,3037">hacerse</WORD>
<WORD coords="2015,3040,2091,2982,3040">de</WORD>
<WORD coords="2158,3042,2403,2983,3040">cenizas</WORD>
<WORD coords="2477,3049,2560,2986,3046">de</WORD>
</LINE>
<LINE>
<WORD coords="196,3123,424,3061,3122">huesos</WORD>
<WORD coords="479,3126,556,3069,3124">de</WORD>
<WORD coords="624,3130,919,3071,3126">animales</WORD>
<WORD coords="959,3146,976,3120,3146">,</WORD>
<WORD coords="1020,3153,1253,3097,3134">porque</WORD>
<WORD coords="1301,3136,1354,3083,3136">ía</WORD>
<WORD coords="1398,3154,1776,3084,3140">esperiencia</WORD>
<WORD coords="1845,3147,2072,3093,3144">enseña</WORD>
<WORD coords="2130,3163,2250,3108,3145">que</WORD>
<WORD coords="2315,3147,2421,3110,3146">son</WORD>
<WORD coords="2472,3150,2559,3094,3147">las</WORD>
</LINE>
<LINE>
<WORD coords="193,3228,328,3188,3226">mas</WORD>
<WORD coords="379,3234,769,3171,3230">refractarias</WORD>
<WORD coords="822,3234,860,3178,3238">ó</WORD>
<WORD coords="915,3240,1172,3183,3238">resisten</WORD>
<WORD coords="1219,3243,1444,3185,3241">mucho</WORD>
<WORD coords="1503,3264,1733,3190,3245">tiempo</WORD>
<WORD coords="1792,3247,1848,3194,3247">al</WORD>
<WORD coords="1908,3273,2094,3195,3251">fuego</WORD>
<WORD coords="2130,3267,2149,3218,3261">;</WORD>
<WORD coords="2209,3255,2404,3198,3253">deben</WORD>
<WORD coords="2455,3260,2559,3218,3257">ser</WORD>
</LINE>
<LINE>
<WORD coords="190,3348,480,3274,3330">blancas,</WORD>
<WORD coords="538,3354,685,3299,3336">para</WORD>
<WORD coords="732,3342,929,3284,3338">evitar</WORD>
<WORD coords="989,3344,1043,3287,3343">la</WORD>
<WORD coords="1104,3351,1580,3289,3347">revivificación</WORD>
<WORD coords="1633,3351,1711,3296,3351">de</WORD>
<WORD coords="1764,3355,1849,3299,3354">las</WORD>
<WORD coords="1902,3360,2172,3303,3357">escorias</WORD>
<WORD coords="2205,3373,2219,3347,3377">,</WORD>
<WORD coords="2239,3381,2280,3324,3364">y</WORD>
<WORD coords="2313,3364,2369,3311,3362">el</WORD>
<WORD coords="2415,3364,2556,3307,3364">her-</WORD>
</LINE>
<LINE>
<WORD coords="191,3435,302,3399,3434">vor</WORD>
<WORD coords="362,3439,464,3382,3439">del</WORD>
<WORD coords="526,3442,717,3387,3441">metal</WORD>
<WORD coords="767,3463,886,3408,3445">que</WORD>
<WORD coords="941,3448,1006,3411,3447">se</WORD>
<WORD coords="1064,3473,1289,3414,3450">ensaya</WORD>
<WORD coords="1323,3462,1340,3421,3459">;</WORD>
<WORD coords="1397,3456,1592,3400,3455">deben</WORD>
<WORD coords="1643,3461,1881,3403,3459">lavarse</WORD>
<WORD coords="1942,3483,2088,3425,3463">muy</WORD>
<WORD coords="2144,3469,2281,3409,3465">bien</WORD>
<WORD coords="2320,3482,2336,3457,3482">,</WORD>
<WORD coords="2406,3488,2551,3433,3471">para</WORD>
</LINE>
<LINE>
<WORD coords="185,3566,568,3484,3542">despojarlas</WORD>
<WORD coords="629,3550,706,3492,3548">de</WORD>
<WORD coords="755,3550,841,3496,3549">las</WORD>
<WORD coords="898,3554,1053,3497,3552">sales</WORD>
<WORD coords="1114,3557,1147,3501,3558">é</WORD>
<WORD coords="1209,3577,1474,3503,3558">impedir</WORD>
<WORD coords="1539,3562,1617,3506,3561">de</WORD>
<WORD coords="1677,3566,1805,3521,3565">este</WORD>
<WORD coords="1867,3570,2052,3513,3568">modo</WORD>
<WORD coords="2124,3572,2197,3535,3570">su</WORD>
<WORD coords="2256,3576,2546,3519,3573">vitrifica-</WORD>
</LINE>
<LINE>
<WORD coords="183,3649,345,3589,3647">ción.</WORD>
<WORD coords="431,3652,513,3594,3652">Se</WORD>
<WORD coords="593,3656,830,3600,3654">mezcla</WORD>
<WORD coords="891,3676,1097,3602,3658">plomo</WORD>
<WORD coords="1157,3662,1272,3625,3661">con</WORD>
<WORD coords="1336,3663,1390,3609,3662">la</WORD>
<WORD coords="1452,3683,1612,3611,3663">plata</WORD>
<WORD coords="1641,3684,1659,3655,3684">,</WORD>
<WORD coords="1733,3690,1777,3634,3680">y</WORD>
<WORD coords="1828,3671,1892,3636,3671">se</WORD>
<WORD coords="1962,3691,2184,3637,3674">espone</WORD>
<WORD coords="2247,3680,2276,3625,3680">á</WORD>
<WORD coords="2356,3703,2545,3624,3682">fuego</WORD>
</LINE>
<LINE>
<WORD coords="185,3754,457,3693,3750">violento</WORD>
<WORD coords="493,3769,513,3722,3769">;</WORD>
<WORD coords="578,3777,812,3719,3758">porque</WORD>
<WORD coords="873,3762,929,3706,3761">el</WORD>
<WORD coords="987,3780,1192,3708,3764">plomo</WORD>
<WORD coords="1250,3768,1314,3731,3767">se</WORD>
<WORD coords="1369,3773,1627,3715,3770">conbina</WORD>
<WORD coords="1681,3776,1794,3736,3773">con</WORD>
<WORD coords="1849,3777,1905,3723,3776">el</WORD>
<WORD coords="1965,3783,2146,3723,3778">cobre</WORD>
<WORD coords="2215,3806,2253,3750,3797">y</WORD>
<WORD coords="2327,3788,2541,3731,3787">demás</WORD>
</LINE>
<LINE>
<WORD coords="185,3859,443,3803,3856">metales</WORD>
<WORD coords="502,3880,621,3825,3862">que</WORD>
<WORD coords="674,3863,847,3818,3862">están</WORD>
<WORD coords="902,3867,976,3829,3866">en</WORD>
<WORD coords="1021,3892,1200,3814,3868">aliaje</WORD>
<WORD coords="1243,3872,1356,3836,3871">con</WORD>
<WORD coords="1402,3875,1457,3819,3873">la</WORD>
<WORD coords="1518,3894,1672,3821,3877">plata</WORD>
<WORD coords="1709,3891,1725,3866,3885">,</WORD>
<WORD coords="1784,3880,1846,3843,3879">se</WORD>
<WORD coords="1907,3884,2094,3827,3882">oxida</WORD>
<WORD coords="2154,3891,2266,3854,3889">con</WORD>
<WORD coords="2319,3892,2467,3838,3889">ellos</WORD>
<WORD coords="2501,3912,2540,3856,3912">y</WORD>
</LINE>
<LINE>
<WORD coords="187,3964,550,3908,3960">convertido</WORD>
<WORD coords="612,3966,685,3930,3966">en</WORD>
<WORD coords="737,3969,941,3911,3966">vidrio</WORD>
<WORD coords="1004,3990,1250,3930,3972">penetra</WORD>
<WORD coords="1316,3977,1369,3923,3977">la</WORD>
<WORD coords="1414,3997,1748,3927,3981">porosidad</WORD>
<WORD coords="1802,3987,1878,3930,3986">de</WORD>
<WORD coords="1941,3989,1993,3934,3988">la</WORD>
<WORD coords="2063,4009,2289,3944,3992">copela.</WORD>
<WORD coords="2388,3999,2537,3939,3996">Mas</WORD>
</LINE>
<LINE>
<WORD coords="189,4062,248,4001,4061">la</WORD>
<WORD coords="281,4084,438,4010,4068">plata</WORD>
<WORD coords="493,4092,697,4015,4073">queda</WORD>
<WORD coords="743,4097,846,4015,4072">fija</WORD>
<WORD coords="899,4101,941,4038,4093">y</WORD>
<WORD coords="995,4080,1093,4041,4079">sin</WORD>
<WORD coords="1132,4081,1355,4026,4079">alterar</WORD>
<WORD coords="1407,4087,1481,4047,4085">su</WORD>
<WORD coords="1540,4109,1687,4050,4090">ptsu</WORD>
<WORD coords="1725,4106,1744,4076,4106">f</WORD>
<WORD coords="1776,4098,1896,4055,4095">aun</WORD>
<WORD coords="1939,4103,2182,4047,4099">cuando</WORD>
<WORD coords="2235,4102,2298,4065,4102">se</WORD>
<WORD coords="2355,4106,2413,4042,4106">la</WORD>
<WORD coords="2443,4107,2537,4066,4106">ts-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0107.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0108.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0108.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1810,580,1956,486,579">98</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="692,716,906,651,690">oponga</WORD>
<WORD coords="957,693,1015,635,693">a*</WORD>
<WORD coords="1068,715,1262,623,694">fuego</WORD>
<WORD coords="1317,697,1449,654,695">mas</WORD>
<WORD coords="1508,697,1783,637,694">violento</WORD>
<WORD coords="1831,718,1872,661,711">y</WORD>
<WORD coords="1921,705,2298,643,701">continuado</WORD>
<WORD coords="2333,706,2351,672,706">:</WORD>
<WORD coords="2392,722,2545,667,707">pues</WORD>
<WORD coords="2577,715,2593,692,715">,</WORD>
<WORD coords="2631,731,2823,670,709">según</WORD>
<WORD coords="2875,717,3048,649,714">Batía</WORD>
</LINE>
<LINE>
<WORD coords="705,798,906,739,796">sufrió</WORD>
<WORD coords="965,800,1045,763,799">un</WORD>
<WORD coords="1088,801,1219,764,800">mes</WORD>
<WORD coords="1269,802,1560,743,800">continuo</WORD>
<WORD coords="1615,802,1670,748,801">ei</WORD>
<WORD coords="1726,825,1914,746,802">fuego</WORD>
<WORD coords="1972,811,2175,755,808">activo</WORD>
<WORD coords="2234,811,2306,776,810">en</WORD>
<WORD coords="2361,813,2418,759,812">el</WORD>
<WORD coords="2473,817,2671,758,815">horno</WORD>
<WORD coords="2703,819,2780,764,819">de</WORD>
<WORD coords="2842,824,3074,765,821">vidrie-</WORD>
</LINE>
<LINE>
<WORD coords="701,917,833,847,903">ría,</WORD>
<WORD coords="872,904,966,849,903">sin</WORD>
<WORD coords="1025,920,1312,849,905">padecer</WORD>
<WORD coords="1356,908,1409,852,907">la</WORD>
<WORD coords="1463,913,1677,872,909">menor</WORD>
<WORD coords="1729,913,2058,856,911">alteración</WORD>
<WORD coords="2120,917,2197,862,915">de</WORD>
<WORD coords="2257,920,2329,882,918">su</WORD>
<WORD coords="2386,936,2549,884,920">peso.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="873,1015,1027,953,1010">Bien</WORD>
<WORD coords="1081,1031,1198,976,1013">que</WORD>
<WORD coords="1258,1015,1334,976,1014">en</WORD>
<WORD coords="1386,1014,1441,959,1013">el</WORD>
<WORD coords="1504,1019,1763,958,1016">Ustorio</WORD>
<WORD coords="1810,1019,1887,962,1018">de</WORD>
<WORD coords="1945,1042,2273,962,1020">Trudayne</WORD>
<WORD coords="2325,1041,2608,985,1026">espuesta</WORD>
<WORD coords="2663,1031,2721,974,1030">al</WORD>
<WORD coords="2789,1032,2925,974,1030">foco</WORD>
<WORD coords="2999,1036,3067,995,1034">se</WORD>
</LINE>
<LINE>
<WORD coords="700,1118,1030,1057,1114">Volatilizo</WORD>
<WORD coords="1079,1117,1152,1076,1117">ert</WORD>
<WORD coords="1208,1121,1400,1062,1119">humo</WORD>
<WORD coords="1434,1135,1452,1088,1135">;</WORD>
<WORD coords="1518,1139,1665,1084,1121">pero</WORD>
<WORD coords="1720,1124,1847,1081,1123">este</WORD>
<WORD coords="1903,1126,2094,1069,1125">humo</WORD>
<WORD coords="2169,1132,2447,1075,1129">recibido</WORD>
<WORD coords="2499,1135,2571,1099,1134">en</WORD>
<WORD coords="2629,1138,2750,1101,1136">una</WORD>
<WORD coords="2812,1155,3069,1083,1138">plancha</WORD>
</LINE>
<LINE>
<WORD coords="699,1220,781,1161,1219">de</WORD>
<WORD coords="844,1221,953,1183,1220">oro</WORD>
<WORD coords="1034,1223,1087,1168,1223">la</WORD>
<WORD coords="1145,1241,1345,1172,1224">plateó</WORD>
<WORD coords="1376,1245,1394,1215,1240">,</WORD>
<WORD coords="1449,1229,1527,1191,1228">en</WORD>
<WORD coords="1572,1231,1632,1173,1230">el</WORD>
<WORD coords="1686,1250,2102,1176,1232">esperimento</WORD>
<WORD coords="2162,1255,2281,1199,1237">que</WORD>
<WORD coords="2334,1244,2612,1181,1239">hicieron</WORD>
<WORD coords="2662,1246,2752,1188,1244">loa</WORD>
<WORD coords="2813,1250,3066,1193,1248">Acade-</WORD>
</LINE>
<LINE>
<WORD coords="622,1347,645,1322,1347">m</WORD>
<WORD coords="710,1330,907,1269,1328">micos</WORD>
<WORD coords="967,1329,1041,1273,1328">de</WORD>
<WORD coords="1104,1332,1297,1274,1330">Paris-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="951,1438,1108,1381,1436">Para</WORD>
<WORD coords="1152,1459,1412,1400,1437">ensayar</WORD>
<WORD coords="1462,1441,1519,1384,1441">el</WORD>
<WORD coords="1573,1442,1686,1404,1441">oro</WORD>
<WORD coords="1708,1459,1726,1431,1453">,</WORD>
<WORD coords="1782,1443,1845,1408,1442">se</WORD>
<WORD coords="1886,1461,2098,1391,1446">copela</WORD>
<WORD coords="2162,1466,2431,1392,1450">primero</WORD>
<WORD coords="2491,1455,2605,1416,1454">con</WORD>
<WORD coords="2669,1472,2822,1398,1454">plata</WORD>
<WORD coords="2860,1477,2899,1418,1476">y</WORD>
<WORD coords="2936,1475,3062,1400,1460">pin-</WORD>
</LINE>
<LINE>
<WORD coords="694,1543,802,1479,1539">ino</WORD>
<WORD coords="833,1555,852,1503,1553">;</WORD>
<WORD coords="886,1539,937,1484,1539">el</WORD>
<WORD coords="986,1557,1190,1486,1540">plomo</WORD>
<WORD coords="1229,1546,1294,1507,1544">es</WORD>
<WORD coords="1341,1557,1481,1507,1545">para</WORD>
<WORD coords="1538,1568,1899,1491,1547">despojarlo</WORD>
<WORD coords="1954,1553,2035,1495,1552">de</WORD>
<WORD coords="2078,1557,2166,1498,1553">los</WORD>
<WORD coords="2220,1558,2435,1499,1555">demás</WORD>
<WORD coords="2500,1565,2758,1504,1561">metales</WORD>
<WORD coords="2783,1573,2798,1548,1573">,</WORD>
<WORD coords="2834,1581,2949,1526,1561">que</WORD>
<WORD coords="2983,1564,3074,1517,1563">ná</WORD>
</LINE>
<LINE>
<WORD coords="693,1647,807,1608,1645">son</WORD>
<WORD coords="860,1662,1042,1590,1645">plata.</WORD>
<WORD coords="1134,1648,1224,1591,1647">La</WORD>
<WORD coords="1284,1669,1405,1592,1648">liga</WORD>
<WORD coords="1452,1652,1530,1595,1651">de</WORD>
<WORD coords="1570,1652,1678,1616,1651">oro</WORD>
<WORD coords="1729,1674,1770,1618,1670">y</WORD>
<WORD coords="1825,1667,1983,1602,1655">plata</WORD>
<WORD coords="2040,1658,2103,1622,1657">se</WORD>
<WORD coords="2159,1663,2416,1602,1660">infunde</WORD>
<WORD coords="2478,1666,2552,1628,1664">en</WORD>
<WORD coords="2610,1667,2788,1612,1665">acido</WORD>
<WORD coords="2817,1687,3069,1613,1668">nítrico,,</WORD>
</LINE>
<LINE>
<WORD coords="692,1773,933,1711,1751">porque</WORD>
<WORD coords="1023,1756,1153,1710,1755">este</WORD>
<WORD coords="1210,1757,1342,1700,1754">solo</WORD>
<WORD coords="1404,1760,1573,1711,1758">ataca</WORD>
<WORD coords="1626,1760,1680,1705,1760">la</WORD>
<WORD coords="1748,1779,1902,1707,1761">plata</WORD>
<WORD coords="1932,1777,1949,1751,1773">,</WORD>
<WORD coords="2005,1770,2448,1709,1766">reduciéndola</WORD>
<WORD coords="2508,1772,2537,1719,1771">á</WORD>
<WORD coords="2595,1771,2681,1716,1769">cal</WORD>
<WORD coords="2739,1778,2785,1718,1778">ü</WORD>
<WORD coords="2842,1790,3061,1721,1773">oxido;</WORD>
</LINE>
<LINE>
<WORD coords="693,1876,845,1816,1855">pero</WORD>
<WORD coords="914,1860,974,1804,1859">al</WORD>
<WORD coords="1025,1861,1138,1823,1860">oro</WORD>
<WORD coords="1205,1862,1260,1805,1861">le</WORD>
<WORD coords="1318,1882,1461,1806,1863">deja</WORD>
<WORD coords="1548,1866,1774,1810,1865">intacto</WORD>
<WORD coords="1810,1882,1827,1855,1882">,</WORD>
<WORD coords="1902,1889,2094,1830,1868">según</WORD>
<WORD coords="2156,1874,2368,1830,1872">consta</WORD>
<WORD coords="2427,1874,2456,1821,1874">á</WORD>
<WORD coords="2520,1893,2876,1823,1876">cualquiera</WORD>
<WORD coords="2937,1899,3058,1844,1882">que</WORD>
</LINE>
<LINE>
<WORD coords="689,1981,876,1913,1960">tenga</WORD>
<WORD coords="929,1965,1249,1907,1963">medianos</WORD>
<WORD coords="1303,1986,1641,1912,1968">principios</WORD>
<WORD coords="1707,1971,1784,1914,1971">de</WORD>
<WORD coords="1859,1987,2181,1915,1975">Química.</WORD>
<WORD coords="2270,1979,2347,1922,1978">Se</WORD>
<WORD coords="2415,1981,2494,1923,1980">ha</WORD>
<WORD coords="2563,1982,2749,1923,1980">dicho</WORD>
<WORD coords="2810,2002,2929,1948,1984">que</WORD>
<WORD coords="2988,1988,3055,1949,1986">se</WORD>
</LINE>
<LINE>
<WORD coords="693,2069,889,2007,2066">funda</WORD>
<WORD coords="948,2069,1003,2012,2068">el</WORD>
<WORD coords="1059,2070,1167,2032,2069">oro</WORD>
<WORD coords="1224,2073,1337,2035,2072">con</WORD>
<WORD coords="1406,2075,1521,2018,2074">dos</WORD>
<WORD coords="1591,2076,1629,2020,2078">ó</WORD>
<WORD coords="1687,2078,1818,2041,2077">mas</WORD>
<WORD coords="1878,2083,2074,2034,2079">tantos</WORD>
<WORD coords="2137,2083,2214,2026,2082">de</WORD>
<WORD coords="2279,2103,2436,2031,2084">plata</WORD>
<WORD coords="2461,2102,2475,2055,2102">;</WORD>
<WORD coords="2544,2106,2776,2052,2088">porque</WORD>
<WORD coords="2811,2106,2826,2079,2100">,</WORD>
<WORD coords="2875,2095,3064,2023,2093">corai</WORD>
</LINE>
<LINE>
<WORD coords="688,2172,830,2112,2170">dice</WORD>
<WORD coords="863,2197,1173,2115,2174">Fourcroy</WORD>
<WORD coords="1203,2192,1219,2166,2189">,</WORD>
<WORD coords="1252,2179,1307,2123,2178">la</WORD>
<WORD coords="1340,2189,1724,2125,2180">esperiencia</WORD>
<WORD coords="1792,2186,2019,2133,2184">enseña</WORD>
<WORD coords="2050,2200,2066,2175,2200">,</WORD>
<WORD coords="2102,2206,2221,2152,2188">que</WORD>
<WORD coords="2255,2189,2318,2154,2188">es</WORD>
<WORD coords="2379,2195,2698,2140,2192">necesario</WORD>
<WORD coords="2742,2226,3049,2158,2201">contenga</WORD>
</LINE>
<LINE>
<WORD coords="693,2280,753,2221,2278">el</WORD>
<WORD coords="800,2278,911,2240,2278">oro</WORD>
<WORD coords="969,2299,1081,2242,2281">por</WORD>
<WORD coords="1137,2283,1197,2227,2283">lo</WORD>
<WORD coords="1245,2288,1457,2248,2286">menos</WORD>
<WORD coords="1518,2288,1573,2231,2287">el</WORD>
<WORD coords="1623,2304,1814,2232,2289">duplo</WORD>
<WORD coords="1865,2291,1941,2234,2290">de</WORD>
<WORD coords="2002,2293,2075,2257,2292">su</WORD>
<WORD coords="2135,2311,2280,2259,2295">peso</WORD>
<WORD coords="2331,2296,2406,2239,2296">de</WORD>
<WORD coords="2462,2315,2669,2242,2296">plata,</WORD>
<WORD coords="2725,2320,2869,2268,2305">para</WORD>
<WORD coords="2931,2330,3053,2275,2314">que</WORD>
</LINE>
<LINE>
<WORD coords="692,2387,755,2329,2387">el</WORD>
<WORD coords="805,2384,984,2328,2383">ácido</WORD>
<WORD coords="1037,2390,1261,2331,2388">nítrico</WORD>
<WORD coords="1305,2410,1507,2335,2393">pueda</WORD>
<WORD coords="1556,2397,1830,2337,2394">disolver</WORD>
<WORD coords="1887,2402,2301,2353,2398">enteramente</WORD>
<WORD coords="2381,2404,2513,2361,2402">este</WORD>
<WORD coords="2572,2409,2789,2350,2405">ultimo</WORD>
<WORD coords="2849,2420,3055,2360,2413">metal.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="939,2498,1177,2436,2494">Escolio</WORD>
<WORD coords="1226,2499,1278,2448,2501">1.</WORD>
<WORD coords="1456,2500,1540,2443,2500">El</WORD>
<WORD coords="1582,2523,1806,2464,2502">ensaye</WORD>
<WORD coords="1860,2506,2130,2448,2504">también</WORD>
<WORD coords="2185,2507,2248,2472,2506">se</WORD>
<WORD coords="2314,2528,2512,2455,2510">puede</WORD>
<WORD coords="2579,2516,2762,2453,2514">hacer</WORD>
<WORD coords="2828,2537,2936,2481,2518">por</WORD>
<WORD coords="2996,2525,3053,2467,2524">la</WORD>
</LINE>
<LINE>
<WORD coords="687,2599,945,2538,2597">balanza</WORD>
<WORD coords="1002,2608,1427,2542,2602">hidrostatica.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="942,2707,1201,2648,2705">Escolio.</WORD>
<WORD coords="1261,2709,1384,2656,2707">2.°</WORD>
<WORD coords="1498,2712,1593,2653,2711">En</WORD>
<WORD coords="1649,2714,1735,2655,2712">las</WORD>
<WORD coords="1790,2731,2033,2658,2714">piedras</WORD>
<WORD coords="2088,2734,2397,2662,2718">preciosas</WORD>
<WORD coords="2454,2722,2508,2670,2721">el</WORD>
<WORD coords="2571,2749,2799,2670,2726">quilate</WORD>
<WORD coords="2855,2730,2919,2693,2730">es</WORD>
<WORD coords="2971,2735,3053,2695,2734">un</WORD>
</LINE>
<LINE>
<WORD coords="687,2830,843,2767,2809">peso</WORD>
<WORD coords="891,2810,968,2752,2809">de</WORD>
<WORD coords="1016,2814,1056,2764,2818">4</WORD>
<WORD coords="1112,2833,1332,2775,2810">granos</WORD>
<WORD coords="1364,2832,1384,2801,2832">,</WORD>
<WORD coords="1444,2832,1563,2779,2816">que</WORD>
<WORD coords="1618,2817,1680,2781,2816">es</WORD>
<WORD coords="1747,2821,1825,2782,2820">un</WORD>
<WORD coords="1907,2821,2097,2766,2820">tercio</WORD>
<WORD coords="2156,2824,2231,2772,2823">de</WORD>
<WORD coords="2291,2828,2483,2772,2825">tomín</WORD>
<WORD coords="2553,2831,2588,2777,2831">d</WORD>
<WORD coords="2644,2833,2699,2777,2833">la</WORD>
<WORD coords="2765,2840,2882,2787,2838">144</WORD>
<WORD coords="2940,2843,3054,2801,2840">ava</WORD>
</LINE>
<LINE>
<WORD coords="691,2937,863,2871,2917">parte</WORD>
<WORD coords="905,2920,980,2863,2919">de</WORD>
<WORD coords="1038,2921,1089,2868,2918">la</WORD>
<WORD coords="1135,2925,1315,2884,2920">onza.</WORD>
<WORD coords="1408,2923,1530,2865,2922">Las</WORD>
<WORD coords="1572,2941,1816,2866,2924">piedras</WORD>
<WORD coords="1863,2927,1972,2890,2926">son</WORD>
<WORD coords="2024,2932,2193,2886,2930">tanto</WORD>
<WORD coords="2425,2945,2740,2880,2937">preciosas</WORD>
<WORD coords="2794,2955,2809,2931,2950">,</WORD>
<WORD coords="2857,2946,3043,2907,2944">cuan-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="690,3025,760,2977,3024">to</WORD>
<WORD coords="818,3024,947,2988,3023">mas</WORD>
<WORD coords="998,3040,1233,2969,3024">duras,</WORD>
<WORD coords="1257,3028,1335,2970,3027">de</WORD>
<WORD coords="1396,3029,1525,2993,3028">mas</WORD>
<WORD coords="1577,3031,1756,2975,3029">brillo</WORD>
<WORD coords="1797,3047,1833,2997,3041">y</WORD>
<WORD coords="1892,3034,2107,2998,3033">menos</WORD>
<WORD coords="2156,3042,2547,2983,3038">manchadas,</WORD>
<WORD coords="2650,3046,2719,2991,3044">El</WORD>
<WORD coords="2768,3049,3046,2990,3046">diaman-</WORD>
</LINE>
<LINE>
<WORD coords="690,3141,805,3083,3128">te,</WORD>
<WORD coords="866,3130,921,3077,3129">el</WORD>
<WORD coords="983,3151,1168,3074,3134">zafiro</WORD>
<WORD coords="1200,3136,1457,3078,3132">oriental</WORD>
<WORD coords="1497,3158,1518,3123,3149">,</WORD>
<WORD coords="1571,3136,1624,3082,3136">el</WORD>
<WORD coords="1681,3139,1823,3081,3137">rubí</WORD>
<WORD coords="1873,3141,2125,3085,3139">oriental</WORD>
<WORD coords="2159,3157,2175,3130,3157">,</WORD>
<WORD coords="2232,3162,2271,3107,3153">y</WORD>
<WORD coords="2339,3144,2391,3090,3144">el</WORD>
<WORD coords="2452,3159,2693,3092,3147">topacio</WORD>
<WORD coords="2781,3156,3047,3095,3153">oriental</WORD>
</LINE>
<LINE>
<WORD coords="695,3235,813,3196,3233">son</WORD>
<WORD coords="865,3235,950,3180,3234">las</WORD>
<WORD coords="1009,3240,1217,3194,3238">cuatro</WORD>
<WORD coords="1274,3241,1402,3204,3240">mas</WORD>
<WORD coords="1460,3259,1856,3188,3243">apreciabies.</WORD>
<WORD coords="1954,3247,2026,3191,3245">El</WORD>
<WORD coords="2079,3251,2400,3190,3248">Diamante</WORD>
<WORD coords="2460,3253,2600,3215,3251">rosa</WORD>
<WORD coords="2647,3254,2709,3220,3253">es</WORD>
<WORD coords="2756,3256,2809,3203,3255">el</WORD>
<WORD coords="2844,3274,3046,3201,3256">chato,</WORD>
</LINE>
<LINE>
<WORD coords="695,3360,816,3303,3339">que</WORD>
<WORD coords="866,3342,999,3288,3340">solo</WORD>
<WORD coords="1057,3346,1220,3288,3343">tiene</WORD>
<WORD coords="1275,3348,1446,3308,3345">caras</WORD>
<WORD coords="1500,3350,1574,3312,3349">en</WORD>
<WORD coords="1620,3352,1702,3314,3351">un</WORD>
<WORD coords="1746,3351,1888,3295,3350">lado</WORD>
<WORD coords="1917,3354,1933,3320,3353">:</WORD>
<WORD coords="1962,3351,2016,3298,3350">el</WORD>
<WORD coords="2074,3356,2359,3297,3352">brillante</WORD>
<WORD coords="2408,3362,2576,3303,3357">tiene</WORD>
<WORD coords="2639,3361,2889,3306,3360">muchas</WORD>
<WORD coords="2946,3363,3044,3326,3362">ca-</WORD>
</LINE>
<LINE>
<WORD coords="695,3449,794,3410,3447">fas</WORD>
<WORD coords="833,3457,941,3412,3447">per</WORD>
<WORD coords="996,3454,1208,3397,3451">ambos</WORD>
<WORD coords="1268,3461,1465,3400,3455">lados.</WORD>
<WORD coords="1566,3461,1634,3405,3459">El</WORD>
<WORD coords="1682,3466,1986,3405,3462">diamante</WORD>
<WORD coords="2025,3462,2089,3426,3461">es</WORD>
<WORD coords="2139,3464,2217,3409,3463">de</WORD>
<WORD coords="2273,3466,2462,3408,3465">buena</WORD>
<WORD coords="2524,3493,2691,3427,3464">agua</WORD>
<WORD coords="2724,3482,2739,3453,3476">,</WORD>
<WORD coords="2795,3470,3039,3412,3467">cuando</WORD>
</LINE>
<LINE>
<WORD coords="696,3556,777,3516,3556">no</WORD>
<WORD coords="830,3555,994,3498,3554">tiene</WORD>
<WORD coords="1043,3558,1205,3522,3558">mam</WORD>
<WORD coords="1220,3561,1330,3503,3560">has</WORD>
<WORD coords="1359,3578,1374,3551,3570">,</WORD>
<WORD coords="1428,3562,1485,3509,3562">ni</WORD>
<WORD coords="1548,3568,1825,3509,3565">defecto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="950,3660,1021,3604,3659">El</WORD>
<WORD coords="1074,3675,1280,3610,3664">precio</WORD>
<WORD coords="1338,3668,1439,3611,3667">del</WORD>
<WORD coords="1497,3672,1783,3611,3669">briÜante</WORD>
<WORD coords="1832,3673,1896,3637,3672">es</WORD>
<WORD coords="1957,3675,2037,3636,3673">un</WORD>
<WORD coords="2093,3692,2308,3617,3673">quinto</WORD>
<WORD coords="2365,3675,2493,3639,3674">mas</WORD>
<WORD coords="2528,3693,2644,3642,3678">que</WORD>
<WORD coords="2687,3678,2739,3623,3675">el</WORD>
<WORD coords="2780,3679,2879,3621,3678">del</WORD>
<WORD coords="2940,3680,3038,3641,3679">ra-</WORD>
</LINE>
<LINE>
<WORD coords="696,3770,777,3725,3770">%a</WORD>
<WORD coords="804,3783,821,3756,3780">,</WORD>
<WORD coords="870,3769,1085,3710,3767">siendo</WORD>
<WORD coords="1146,3793,1384,3718,3772">iguaJes</WORD>
<WORD coords="1437,3776,1512,3739,3775">en</WORD>
<WORD coords="1556,3775,1612,3724,3775">lo</WORD>
<WORD coords="1667,3780,1879,3724,3778">demás</WORD>
<WORD coords="1909,3791,1929,3748,3784">;.</WORD>
<WORD coords="1972,3779,2020,3725,3778">si</WORD>
<WORD coords="2074,3781,2131,3744,3780">v.</WORD>
<WORD coords="2189,3801,2228,3746,3792">g</WORD>
<WORD coords="2313,3783,2391,3746,3782">un</WORD>
<WORD coords="2439,3784,2576,3747,3782">rosa</WORD>
<WORD coords="2627,3783,2702,3729,3782">de</WORD>
<WORD coords="2762,3784,2843,3748,3783">un</WORD>
<WORD coords="2904,3801,3042,3728,3784">qui-</WORD>
</LINE>
<LINE>
<WORD coords="711,3877,832,3819,3875">late</WORD>
<WORD coords="888,3876,1022,3822,3874">vale</WORD>
<WORD coords="1086,3876,1159,3828,3878">10</WORD>
<WORD coords="1214,3898,1388,3843,3879">pesos</WORD>
<WORD coords="1422,3896,1439,3870,3890">,</WORD>
<WORD coords="1476,3883,1561,3845,3883">un</WORD>
<WORD coords="1617,3886,1896,3828,3884">brillante</WORD>
<WORD coords="1932,3885,2027,3831,3884">del</WORD>
<WORD coords="2084,3886,2307,3832,3885">mismo</WORD>
<WORD coords="2353,3909,2578,3834,3890">quilate</WORD>
<WORD coords="2616,3889,2827,3835,3887">valdrá</WORD>
<WORD coords="2873,3890,2910,3842,3890">2</WORD>
<WORD coords="2938,3901,3036,3852,3889">pe-</WORD>
</LINE>
<LINE>
<WORD coords="682,3982,801,3944,3980">«sos</WORD>
<WORD coords="855,3982,982,3946,3981">mas</WORD>
<WORD coords="1016,3993,1031,3971,3993">,</WORD>
<WORD coords="1063,4002,1182,3948,3983">que</WORD>
<WORD coords="1224,3987,1330,3950,3985">son</WORD>
<WORD coords="1376,3989,1447,3940,3988">12</WORD>
<WORD coords="1496,4002,1692,3952,3988">pesos.</WORD>
<WORD coords="1787,3994,1850,3937,3993">Si</WORD>
<WORD coords="1897,3992,1984,3939,3990">los</WORD>
<WORD coords="2044,3996,2381,3939,3993">diamantes</WORD>
<WORD coords="2440,3995,2551,3960,3994">son</WORD>
<WORD coords="2598,3995,2670,3943,3994">de</WORD>
<WORD coords="2722,3994,2836,3959,3993">una</WORD>
<WORD coords="2891,3993,3037,3937,3992">mis-</WORD>
</LINE>
<LINE>
<WORD coords="668,4091,801,4041,4090">**xia</WORD>
<WORD coords="849,4112,1007,4051,4089">i*gua</WORD>
<WORD coords="1052,4112,1097,4052,4105">y</WORD>
<WORD coords="1148,4093,1226,4034,4092">de</WORD>
<WORD coords="1271,4096,1608,4034,4094">diferentes</WORD>
<WORD coords="1663,4118,1970,4040,4100">quilates,</WORD>
<WORD coords="2028,4102,2092,4065,4101">se</WORD>
<WORD coords="2139,4103,2301,4041,4101">hana</WORD>
<WORD coords="2356,4104,2429,4066,4103">su</WORD>
<WORD coords="2504,4124,2714,4046,4105">precio</WORD>
<WORD coords="2774,4102,2851,4045,4102">de</WORD>
<WORD coords="2905,4108,3035,4055,4103">este</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0108.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0109.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0109.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1372,616,1526,522,615">99</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="257,757,476,698,753">«nodo.</WORD>
<WORD coords="563,755,682,692,754">Sea</WORD>
<WORD coords="731,756,810,717,755">un</WORD>
<WORD coords="853,756,1145,698,753">&quot;brillante</WORD>
<WORD coords="1199,755,1273,699,754">de</WORD>
<WORD coords="1334,757,1412,717,756">un</WORD>
<WORD coords="1479,773,1664,722,756">grano</WORD>
<WORD coords="1721,761,1797,707,760">de</WORD>
<WORD coords="1844,765,1995,726,761">ppso</WORD>
<WORD coords="2045,776,2083,731,773">y</WORD>
<WORD coords="2133,771,2249,730,767">que</WORD>
<WORD coords="2285,770,2411,718,768">vale</WORD>
<WORD coords="2447,768,2482,720,768">6</WORD>
<WORD coords="2521,782,2622,735,774">pe»</WORD>
</LINE>
<LINE>
<WORD coords="264,866,367,827,864">»us</WORD>
<WORD coords="394,879,411,853,879">,</WORD>
<WORD coords="483,884,519,829,877">y</WORD>
<WORD coords="598,867,733,824,865">otro</WORD>
<WORD coords="806,867,884,812,867">de</WORD>
<WORD coords="953,867,989,820,868">2</WORD>
<WORD coords="1041,891,1261,830,864">glanos</WORD>
<WORD coords="1337,881,1352,834,878">;</WORD>
<WORD coords="1438,876,1576,833,866">para</WORD>
<WORD coords="1667,875,1856,812,873">bailar</WORD>
<WORD coords="1931,873,1982,827,872">el</WORD>
<WORD coords="2069,884,2273,840,873">precio</WORD>
<WORD coords="2364,879,2440,815,878">de</WORD>
<WORD coords="2528,880,2626,849,878">es-</WORD>
</LINE>
<LINE>
<WORD coords="273,972,341,928,971">te</WORD>
<WORD coords="375,986,389,961,986">,</WORD>
<WORD coords="427,989,785,919,971">multiplicar</WORD>
<WORD coords="805,976,838,918,975">é</WORD>
<WORD coords="899,974,1002,938,973">sus</WORD>
<WORD coords="1054,994,1315,920,972">quilates</WORD>
<WORD coords="1371,976,1539,935,973">entre</WORD>
<WORD coords="1590,976,1637,924,975">si</WORD>
<WORD coords="1673,990,1687,964,983">,</WORD>
<WORD coords="1720,976,1754,931,976">2</WORD>
<WORD coords="1819,995,1925,944,979">por</WORD>
<WORD coords="1983,979,2016,934,979">2</WORD>
<WORD coords="2068,998,2182,948,979">que</WORD>
<WORD coords="2245,979,2351,946,977">son</WORD>
<WORD coords="2411,982,2446,940,982">4</WORD>
<WORD coords="2479,994,2492,971,987">,</WORD>
<WORD coords="2528,981,2619,950,981">es-</WORD>
</LINE>
<LINE>
<WORD coords="258,1080,321,1032,1078">te</WORD>
<WORD coords="380,1092,679,1023,1077">producto</WORD>
<WORD coords="729,1095,1074,1024,1080">multiplico</WORD>
<WORD coords="1135,1095,1241,1044,1077">por</WORD>
<WORD coords="1282,1080,1337,1025,1080">ti</WORD>
<WORD coords="1396,1083,1564,1030,1080">valor</WORD>
<WORD coords="1611,1081,1679,1027,1081">dr</WORD>
<WORD coords="1695,1080,1707,1030,1080">1</WORD>
<WORD coords="1767,1102,1992,1029,1085">primer</WORD>
<WORD coords="2043,1088,2319,1033,1085">brillante</WORD>
<WORD coords="2366,1106,2481,1052,1086">que</WORD>
<WORD coords="2553,1093,2618,1054,1091">es</WORD>
</LINE>
<LINE>
<WORD coords="258,1183,299,1133,1186">6</WORD>
<WORD coords="363,1200,538,1149,1183">pesos</WORD>
<WORD coords="567,1196,585,1173,1192">,</WORD>
<WORD coords="615,1184,673,1129,1182">lo</WORD>
<WORD coords="712,1203,831,1151,1187">que</WORD>
<WORD coords="887,1186,962,1131,1185">da</WORD>
<WORD coords="1014,1188,1094,1139,1188">24</WORD>
<WORD coords="1144,1205,1319,1151,1185">pesos</WORD>
<WORD coords="1358,1203,1373,1177,1203">,</WORD>
<WORD coords="1398,1207,1435,1154,1198">y</WORD>
<WORD coords="1496,1189,1628,1133,1188">diré</WORD>
<WORD coords="1679,1204,1798,1154,1188">que</WORD>
<WORD coords="1856,1192,1982,1148,1190">este</WORD>
<WORD coords="2027,1192,2089,1157,1191">es</WORD>
<WORD coords="2142,1194,2195,1138,1192">el</WORD>
<WORD coords="2257,1210,2414,1144,1193">preci</WORD>
<WORD coords="2428,1198,2458,1155,1198">ó</WORD>
<WORD coords="2514,1198,2547,1146,1198">d</WORD>
<WORD coords="2598,1198,2615,1147,1198">l</WORD>
</LINE>
<LINE>
<WORD coords="244,1292,536,1236,1288">grillante</WORD>
<WORD coords="587,1291,662,1237,1291">de</WORD>
<WORD coords="713,1291,824,1238,1290">dos</WORD>
<WORD coords="877,1314,1121,1257,1290">granos.</WORD>
<WORD coords="1214,1291,1274,1238,1291">Si</WORD>
<WORD coords="1314,1307,1519,1258,1294">pesara</WORD>
<WORD coords="1550,1297,1582,1249,1297">3</WORD>
<WORD coords="1630,1318,1775,1263,1296">gran</WORD>
<WORD coords="1788,1297,1849,1266,1296">os</WORD>
<WORD coords="1886,1312,1901,1288,1311">,</WORD>
<WORD coords="1950,1311,2382,1245,1298">multiplicaría</WORD>
<WORD coords="2421,1302,2448,1259,1302">3</WORD>
<WORD coords="2591,1306,2615,1272,1306">r</WORD>
</LINE>
<LINE>
<WORD coords="260,1397,293,1348,1399">3</WORD>
<WORD coords="352,1415,473,1363,1397">que</WORD>
<WORD coords="532,1402,637,1365,1398">son</WORD>
<WORD coords="698,1406,771,1347,1403">9,</WORD>
<WORD coords="818,1419,859,1362,1410">y</WORD>
<WORD coords="908,1398,962,1345,1397">el</WORD>
<WORD coords="1018,1414,1223,1344,1398">precio</WORD>
<WORD coords="1274,1399,1311,1349,1400">6</WORD>
<WORD coords="1361,1415,1467,1365,1398">por</WORD>
<WORD coords="1510,1416,1584,1350,1411">9,</WORD>
<WORD coords="1642,1421,1758,1368,1404">que</WORD>
<WORD coords="1823,1405,1899,1350,1405">da</WORD>
<WORD coords="1956,1405,2033,1357,1405">54</WORD>
<WORD coords="2102,1419,2274,1371,1402">pesos</WORD>
<WORD coords="2336,1407,2409,1353,1406">de</WORD>
<WORD coords="2484,1420,2614,1375,1407">pre.</WORD>
</LINE>
<LINE>
<WORD coords="246,1504,343,1449,1503">cío</WORD>
<WORD coords="380,1527,485,1448,1527">f3</WORD>
<WORD coords="530,1517,765,1449,1502">istonj.</WORD>
<WORD coords="869,1505,980,1449,1504">Del</WORD>
<WORD coords="1051,1506,1272,1453,1504">mismo</WORD>
<WORD coords="1341,1510,1524,1453,1505">modo</WORD>
<WORD coords="1559,1509,1620,1474,1508">se</WORD>
<WORD coords="1658,1526,1941,1455,1509">aprecian</WORD>
<WORD coords="2002,1509,2054,1457,1509">el</WORD>
<WORD coords="2115,1528,2435,1455,1511">Topacio,</WORD>
<WORD coords="2491,1518,2613,1461,1517">Za-</WORD>
</LINE>
<LINE>
<WORD coords="251,1612,363,1553,1610">firo</WORD>
<WORD coords="410,1629,450,1574,1621">y</WORD>
<WORD coords="502,1612,667,1555,1610">Ru!&gt;í</WORD>
<WORD coords="790,1611,860,1556,1610">El</WORD>
<WORD coords="911,1611,1220,1556,1609">diamante</WORD>
<WORD coords="1255,1615,1331,1555,1614">de</WORD>
<WORD coords="1389,1613,1443,1559,1612">la</WORD>
<WORD coords="1499,1629,1891,1559,1613">Emperatriz</WORD>
<WORD coords="1953,1616,2027,1562,1616">de</WORD>
<WORD coords="2091,1614,2172,1561,1613">las</WORD>
<WORD coords="2226,1620,2443,1564,1618">Rusias</WORD>
<WORD coords="2508,1639,2607,1587,1623">pe-</WORD>
</LINE>
<LINE>
<WORD coords="250,1718,318,1679,1717">sa</WORD>
<WORD coords="358,1729,376,1705,1729">,</WORD>
<WORD coords="413,1738,606,1681,1716">según</WORD>
<WORD coords="670,1718,932,1661,1716">Chafital</WORD>
<WORD coords="957,1740,979,1703,1740">f</WORD>
<WORD coords="1021,1719,1145,1664,1718">779</WORD>
<WORD coords="1199,1738,1513,1664,1718">quilates,</WORD>
<WORD coords="1559,1739,1599,1683,1730">y</WORD>
<WORD coords="1646,1722,1700,1665,1721">le</WORD>
<WORD coords="1772,1742,2025,1684,1721">compro</WORD>
<WORD coords="2078,1724,2153,1687,1723">en</WORD>
<WORD coords="2204,1726,2357,1668,1724">duce</WORD>
<WORD coords="2412,1729,2604,1673,1726">barri-</WORD>
</LINE>
<LINE>
<WORD coords="246,1825,346,1767,1824">les</WORD>
<WORD coords="403,1824,479,1768,1823">de</WORD>
<WORD coords="539,1825,670,1787,1822">oro.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="498,1929,620,1873,1928">Las</WORD>
<WORD coords="659,1945,855,1875,1928">perlas</WORD>
<WORD coords="910,1931,974,1895,1931">se</WORD>
<WORD coords="1018,1934,1239,1876,1932">valúan</WORD>
<WORD coords="1293,1949,1404,1894,1932">por</WORD>
<WORD coords="1458,1934,1531,1897,1934">su</WORD>
<WORD coords="1584,1936,1833,1883,1933">tamaño</WORD>
<WORD coords="1868,1948,1883,1923,1941">,</WORD>
<WORD coords="1949,1935,2162,1879,1933">siendo</WORD>
<WORD coords="2211,1958,2447,1881,1937">iguales</WORD>
<WORD coords="2533,1943,2609,1905,1941">en</WORD>
</LINE>
<LINE>
<WORD coords="240,2034,417,1978,2030">color</WORD>
<WORD coords="474,2052,514,1998,2052">y</WORD>
<WORD coords="568,2057,1040,1978,2035">configuración.</WORD>
<WORD coords="1144,2038,1294,1985,2037">Para</WORD>
<WORD coords="1351,2040,1471,1986,2037">ello</WORD>
<WORD coords="1530,2039,1592,2004,2039">se</WORD>
<WORD coords="1656,2040,1738,1988,2039">las</WORD>
<WORD coords="1791,2042,1940,1984,2040">hace</WORD>
<WORD coords="1991,2059,2168,2006,2039">pasar</WORD>
<WORD coords="2221,2057,2328,2007,2044">por</WORD>
<WORD coords="2385,2046,2471,1994,2044">los</WORD>
<WORD coords="2521,2049,2614,1995,2048">di-</WORD>
</LINE>
<LINE>
<WORD coords="240,2145,521,2082,2139">ferentes</WORD>
<WORD coords="571,2162,858,2089,2141">agujeros</WORD>
<WORD coords="911,2145,987,2089,2145">de</WORD>
<WORD coords="1044,2147,1098,2091,2144">la</WORD>
<WORD coords="1154,2169,1458,2090,2145">quilatera</WORD>
<WORD coords="1487,2157,1503,2132,2157">,</WORD>
<WORD coords="1563,2163,1680,2109,2146">que</WORD>
<WORD coords="1755,2146,1821,2110,2145">es</WORD>
<WORD coords="1881,2146,1960,2110,2145">un</WORD>
<WORD coords="2016,2154,2429,2093,2149">instrumenta</WORD>
<WORD coords="2487,2161,2611,2104,2152">lar.,</WORD>
</LINE>
<LINE>
<WORD coords="244,2268,326,2204,2246">go</WORD>
<WORD coords="357,2256,371,2234,2253">,</WORD>
<WORD coords="428,2245,542,2208,2244">con</WORD>
<WORD coords="601,2249,854,2192,2246">muchos</WORD>
<WORD coords="932,2271,1219,2195,2249">agujeros</WORD>
<WORD coords="1297,2251,1611,2196,2250">redondos</WORD>
<WORD coords="1691,2269,1970,2214,2251">mayores</WORD>
<WORD coords="2044,2272,2083,2217,2264">y</WORD>
<WORD coords="2168,2257,2450,2220,2255">menores</WORD>
<WORD coords="2537,2262,2616,2223,2259">ei%</WORD>
</LINE>
<LINE>
<WORD coords="244,2370,637,2295,2349">proporción.</WORD>
<WORD coords="673,2356,976,2297,2353">También</WORD>
<WORD coords="1018,2359,1087,2323,2359">se</WORD>
<WORD coords="1122,2375,1367,2302,2356">pueden</WORD>
<WORD coords="1425,2376,1705,2305,2356">apreciar</WORD>
<WORD coords="1763,2377,1870,2323,2358">por</WORD>
<WORD coords="1895,2363,1952,2306,2361">el</WORD>
<WORD coords="2011,2362,2263,2308,2361">método</WORD>
<WORD coords="2313,2369,2609,2311,2364">anterior,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="242,2533,598,2469,2530">GORRES</WORD>
<WORD coords="615,2517,651,2476,2517">p</WORD>
<WORD coords="663,2537,1169,2474,2534">ONí}&amp;NCI\</WORD>
<WORD coords="1239,2536,1355,2480,2535">DE</WORD>
<WORD coords="1428,2540,1877,2479,2538">ALGUNAS</WORD>
<WORD coords="1944,2542,2379,2468,2538">MEDIDAS</WORD>
<WORD coords="2463,2544,2603,2486,2543">li-</WORD>
</LINE>
<LINE>
<WORD coords="389,2667,645,2625,2665">neales</WORD>
<WORD coords="676,2668,715,2626,2668">Y</WORD>
<WORD coords="749,2667,1068,2627,2665">MONEDAS</WORD>
<WORD coords="1102,2669,1586,2626,2667">ESTRANGERáa</WORD>
<WORD coords="1622,2671,1743,2632,2670">CON</WORD>
<WORD coords="1784,2670,1901,2631,2669">LAS</WORD>
<WORD coords="1938,2673,2315,2630,2671">EsPANoLAS</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="494,2849,800,2787,2842">Ts/lonedas</WORD>
<WORD coords="843,2864,1114,2786,2842">inglesas</WORD>
<WORD coords="1174,2847,1261,2783,2847">t¿\</WORD>
<WORD coords="1302,2848,1536,2785,2846">Gúnea</WORD>
<WORD coords="1569,2860,1677,2792,2851">fde</WORD>
<WORD coords="1725,2864,1868,2791,2847">oro)</WORD>
<WORD coords="1903,2848,2028,2792,2847">vale</WORD>
<WORD coords="2064,2845,2098,2798,2845">5</WORD>
<WORD coords="2136,2847,2316,2791,2845">daros</WORD>
<WORD coords="2385,2851,2408,2801,2851">1</WORD>
<WORD coords="2448,2850,2583,2795,2849">real</WORD>
<WORD coords="2583,2864,2602,2840,2864">%</WORD>
</LINE>
<LINE>
<WORD coords="237,2957,289,2894,2954">\</WORD>
<WORD coords="311,2952,608,2895,2950">cuartillo.</WORD>
<WORD coords="700,2952,806,2893,2950">Un</WORD>
<WORD coords="848,2951,1058,2895,2948">Chelín</WORD>
<WORD coords="1105,2952,1180,2896,2951">de</WORD>
<WORD coords="1217,2967,1371,2896,2949">plata</WORD>
<WORD coords="1419,2952,1552,2899,2950">vale</WORD>
<WORD coords="1601,2957,1773,2916,2953">cerca</WORD>
<WORD coords="1836,2953,1913,2899,2952">de</WORD>
<WORD coords="1968,2954,2002,2907,2953">2</WORD>
<WORD coords="2060,2953,2272,2895,2950">reales.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="498,3056,780,3000,3054">Medidas</WORD>
<WORD coords="841,3057,1088,3001,3056">ímeales</WORD>
<WORD coords="1140,3076,1430,3009,3055">ingesas.</WORD>
<WORD coords="1530,3058,1601,3004,3057">El</WORD>
<WORD coords="1660,3060,1807,2992,3058">Foot</WORD>
<WORD coords="1868,3057,1906,3007,3057">ó</WORD>
<WORD coords="1972,3058,2066,3004,3058">^ie</WORD>
<WORD coords="2108,3057,2240,3007,3055">vale</WORD>
<WORD coords="2296,3059,2320,3010,3059">1</WORD>
<WORD coords="2379,3065,2472,3004,3059">pie</WORD>
<WORD coords="2504,3079,2518,3050,3071">,</WORD>
<WORD coords="2556,3063,2585,3012,3063">1</WORD>
</LINE>
<LINE>
<WORD coords="248,3179,519,3104,3159">pu&apos;g^da</WORD>
<WORD coords="574,3172,912,3109,3159">españoles.</WORD>
<WORD coords="1009,3162,1099,3107,3162">La</WORD>
<WORD coords="1165,3163,1368,3106,3162">Tarda</WORD>
<WORD coords="1433,3163,1593,3109,3161">tiene</WORD>
<WORD coords="1649,3162,1681,3115,3162">3</WORD>
<WORD coords="1746,3179,1873,3111,3162">pies</WORD>
<WORD coords="1951,3183,2218,3110,3161">ingleses</WORD>
<WORD coords="2283,3181,2319,3127,3171">y</WORD>
<WORD coords="2384,3162,2453,3130,3161">va</WORD>
<WORD coords="2485,3164,2515,3131,3164">e</WORD>
<WORD coords="2574,3167,2601,3117,3167">1</WORD>
</LINE>
<LINE>
<WORD coords="240,3268,394,3229,3266">vara</WORD>
<WORD coords="424,3277,439,3255,3273">,</WORD>
<WORD coords="494,3266,526,3218,3267">3</WORD>
<WORD coords="566,3289,869,3213,3264">pulgadas</WORD>
<WORD coords="917,3289,956,3232,3279">y</WORD>
<WORD coords="1012,3269,1045,3220,3269">3</WORD>
<WORD coords="1095,3271,1284,3217,3269">lineas</WORD>
<WORD coords="1335,3290,1677,3216,3269">españolas.</WORD>
<WORD coords="1779,3270,1863,3215,3270">La</WORD>
<WORD coords="1905,3270,1966,3216,3269">SI</WORD>
<WORD coords="2005,3271,2089,3215,3270">lia</WORD>
<WORD coords="2147,3270,2276,3219,3269">vaie</WORD>
<WORD coords="2331,3281,2473,3222,3272">0,28</WORD>
<WORD coords="2498,3266,2512,3228,3266">i</WORD>
<WORD coords="2531,3271,2598,3224,3271">i5</WORD>
</LINE>
<LINE>
<WORD coords="242,3373,319,3318,3372">tíe</WORD>
<WORD coords="381,3395,559,3316,3373">legua</WORD>
<WORD coords="645,3387,951,3321,3374">española.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="497,3482,791,3426,3480">Monedas</WORD>
<WORD coords="830,3504,1192,3423,3482">francesas.</WORD>
<WORD coords="1286,3486,1390,3425,3484">Un</WORD>
<WORD coords="1451,3482,1596,3427,3480">Luis</WORD>
<WORD coords="1656,3481,1821,3426,3479">dob-e</WORD>
<WORD coords="1863,3481,1989,3429,3477">vale</WORD>
<WORD coords="2052,3481,2090,3429,3481">9</WORD>
<WORD coords="2130,3481,2152,3433,3481">i</WORD>
<WORD coords="2206,3480,2237,3443,3480">r</WORD>
<WORD coords="2264,3478,2306,3446,3478">&gt;s</WORD>
<WORD coords="2350,3494,2434,3430,3484">,3</WORD>
<WORD coords="2475,3482,2603,3444,3478">rea.</WORD>
</LINE>
<LINE>
<WORD coords="238,3598,352,3526,3584">Ies,</WORD>
<WORD coords="409,3588,435,3537,3588">l</WORD>
<WORD coords="474,3586,680,3533,3585">medio</WORD>
<WORD coords="728,3588,839,3552,3586">con</WORD>
<WORD coords="874,3588,914,3555,3587">nr</WORD>
<WORD coords="937,3589,958,3532,3589">í</WORD>
<WORD coords="983,3589,1128,3535,3587">rima</WORD>
<WORD coords="1176,3591,1513,3533,3587">dif-rencra</WORD>
<WORD coords="1629,3590,1732,3531,3588">Un</WORD>
<WORD coords="1790,3587,1832,3538,3587">L</WORD>
<WORD coords="1856,3590,1934,3551,3588">as</WORD>
<WORD coords="1983,3585,2193,3531,3583">simple</WORD>
<WORD coords="2245,3585,2374,3541,3584">vale</WORD>
<WORD coords="2421,3588,2458,3544,3588">4</WORD>
<WORD coords="2493,3590,2605,3537,3589">du-</WORD>
</LINE>
<LINE>
<WORD coords="233,3690,334,3651,3687">ros</WORD>
<WORD coords="370,3708,384,3678,3708">?</WORD>
<WORD coords="426,3691,461,3645,3691">5</WORD>
<WORD coords="528,3691,625,3657,3690">rea</WORD>
<WORD coords="656,3692,718,3657,3691">es</WORD>
<WORD coords="771,3714,812,3658,3704">y</WORD>
<WORD coords="859,3694,1085,3639,3692">medio.</WORD>
<WORD coords="1178,3697,1283,3639,3695">Un</WORD>
<WORD coords="1349,3694,1582,3636,3691">Franco</WORD>
<WORD coords="1633,3692,1764,3639,3691">vale</WORD>
<WORD coords="1821,3692,1845,3645,3692">l</WORD>
<WORD coords="1900,3692,2019,3644,3690">real</WORD>
<WORD coords="2073,3712,2108,3657,3701">y</WORD>
<WORD coords="2176,3691,2313,3638,3691">med</WORD>
<WORD coords="2349,3691,2380,3660,3691">o</WORD>
<WORD coords="2429,3712,2461,3659,3702">y</WORD>
<WORD coords="2521,3693,2599,3658,3692">un</WORD>
</LINE>
<LINE>
<WORD coords="233,3815,451,3754,3795">quinto</WORD>
<WORD coords="518,3798,593,3744,3797">de</WORD>
<WORD coords="628,3799,835,3744,3798">medio</WORD>
<WORD coords="872,3808,889,3768,3803">;</WORD>
<WORD coords="937,3799,972,3752,3799">5</WORD>
<WORD coords="1018,3802,1264,3742,3799">francos</WORD>
<WORD coords="1312,3798,1502,3742,3796">hacen</WORD>
<WORD coords="1563,3799,1642,3761,3797">un</WORD>
<WORD coords="1681,3798,1854,3745,3795">duro.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="484,3902,767,3846,3900">Medidas</WORD>
<WORD coords="826,3903,1070,3849,3901">lineales</WORD>
<WORD coords="1125,3922,1418,3850,3901">antiguas</WORD>
<WORD coords="1452,3922,1808,3845,3901">francesas.</WORD>
<WORD coords="1900,3903,2004,3845,3901">Un</WORD>
<WORD coords="2058,3919,2163,3850,3900">pie</WORD>
<WORD coords="2216,3900,2283,3847,3899">de</WORD>
<WORD coords="2332,3921,2450,3845,3901">Rey</WORD>
</LINE>
<LINE>
<WORD coords="230,4000,280,3945,3999">le</WORD>
<WORD coords="340,4004,361,3959,4004">1</WORD>
<WORD coords="429,4018,545,3951,4004">pie,</WORD>
<WORD coords="601,4007,634,3960,4007">2</WORD>
<WORD coords="687,4026,977,3953,4005">pu&apos;gidas</WORD>
<WORD coords="1037,4025,1359,3953,4005">españoles</WORD>
<WORD coords="1401,4004,1446,3971,4004">c«</WORD>
<WORD coords="1478,4005,1511,3972,4005">n</WORD>
<WORD coords="1568,4005,1618,3954,4003">la</WORD>
<WORD coords="1677,4025,1889,3970,4003">mayor</WORD>
<WORD coords="1937,4026,2031,3970,4004">apt</WORD>
<WORD coords="2048,4007,2273,3952,4004">ocsi-m</WORD>
<WORD coords="2513,4004,2594,3957,4003">La</WORD>
</LINE>
<LINE>
<WORD coords="238,4113,425,4053,4111">Toeau</WORD>
<WORD coords="481,4117,642,4072,4115">tiene</WORD>
<WORD coords="695,4116,734,4065,4116">6</WORD>
<WORD coords="787,4136,922,4058,4113">pica</WORD>
<WORD coords="971,4117,1048,4067,4116">de</WORD>
<WORD coords="1092,4135,1186,4081,4114">rc¿</WORD>
<WORD coords="1224,4133,1241,4103,4133">,</WORD>
<WORD coords="1291,4134,1328,4080,4125">y</WORD>
<WORD coords="1387,4116,1517,4079,4115">v¿ue</WORD>
<WORD coords="1579,4115,1618,4067,4115">2</WORD>
<WORD coords="1675,4116,1848,4077,4114">varas</WORD>
<WORD coords="1905,4132,1941,4078,4123">y</WORD>
<WORD coords="2001,4114,2196,4074,4113">torcía</WORD>
<WORD coords="2244,4133,2372,4063,4115">uiü)</WORD>
<WORD coords="2438,4133,2591,4074,4114">poco</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0109.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0110.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0110.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1758,556,1978,460,554">100</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="675,669,831,628,666">usas.</WORD>
<WORD coords="949,666,1043,607,665">La</WORD>
<WORD coords="1102,667,1239,608,665">Ana</WORD>
<WORD coords="1315,669,1356,611,671">ú</WORD>
<WORD coords="1412,667,1526,628,666">ona</WORD>
<WORD coords="1580,668,1715,611,667">vale</WORD>
<WORD coords="1779,671,1804,623,672">1</WORD>
<WORD coords="1870,689,2047,634,671">vara,</WORD>
<WORD coords="2086,674,2113,620,674">1</WORD>
<WORD coords="2166,677,2358,618,675">tercia</WORD>
<WORD coords="2396,697,2439,637,687">y</WORD>
<WORD coords="2498,677,2533,623,677">3</WORD>
<WORD coords="2584,702,2897,622,681">pulgadas-</WORD>
<WORD coords="2940,688,3040,623,686">La</WORD>
</LINE>
<LINE>
<WORD coords="677,794,857,717,772">legua</WORD>
<WORD coords="914,774,1124,734,772">común</WORD>
<WORD coords="1181,774,1344,719,772">tiene</WORD>
<WORD coords="1434,774,1595,723,774">2283</WORD>
<WORD coords="1638,778,1868,728,774">toesas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="838,955,1175,892,952">NUEVO</WORD>
<WORD coords="1228,953,1635,893,950">SISTEMA</WORD>
<WORD coords="1710,959,2150,894,955">DECIMAL</WORD>
<WORD coords="2221,962,2340,903,960">DE</WORD>
<WORD coords="2423,969,2867,906,965">MEDIDAS</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1179,1084,1588,1042,1081">INVENTADO</WORD>
<WORD coords="1648,1086,1771,1043,1085">PüR</WORD>
<WORD coords="1825,1088,1941,1046,1087">LOS</WORD>
<WORD coords="1991,1098,2392,1047,1090">FRANCESES,</WORD>
<WORD coords="2440,1120,2536,1038,1094">[a]</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="952,1260,1029,1203,1259">El</WORD>
<WORD coords="1091,1263,1302,1205,1261">Metro</WORD>
<WORD coords="1353,1260,1416,1224,1260">es</WORD>
<WORD coords="1469,1262,1525,1205,1261">la</WORD>
<WORD coords="1582,1269,2141,1207,1265">diezmillonesima</WORD>
<WORD coords="2199,1279,2368,1225,1271">parte</WORD>
<WORD coords="2418,1273,2516,1215,1272">del</WORD>
<WORD coords="2562,1278,2896,1221,1276">cuadrante</WORD>
<WORD coords="2928,1279,3032,1218,1275">de*</WORD>
</LINE>
<LINE>
<WORD coords="666,1365,1028,1307,1363">sperediano</WORD>
<WORD coords="1080,1367,1199,1323,1367">ten</WORD>
<WORD coords="1217,1368,1376,1327,1366">esire</WORD>
<WORD coords="1401,1383,1417,1356,1383">,</WORD>
<WORD coords="1445,1388,1564,1333,1370">que</WORD>
<WORD coords="1621,1388,1766,1334,1372">pasa</WORD>
<WORD coords="1811,1391,1924,1335,1372">por</WORD>
<WORD coords="1977,1375,2033,1317,1374">el</WORD>
<WORD coords="2077,1379,2501,1318,1376">observatorio</WORD>
<WORD coords="2546,1381,2622,1324,1380">de</WORD>
<WORD coords="2656,1383,2835,1323,1381">París</WORD>
<WORD coords="2874,1401,2891,1350,1393">;</WORD>
<WORD coords="2923,1385,3031,1348,1384">va-</WORD>
</LINE>
<LINE>
<WORD coords="670,1470,727,1413,1469">le</WORD>
<WORD coords="789,1484,877,1418,1476">3,</WORD>
<WORD coords="922,1474,1206,1421,1472">5889216</WORD>
<WORD coords="1260,1493,1393,1419,1474">pies</WORD>
<WORD coords="1448,1495,1812,1422,1476">españoles,</WORD>
<WORD coords="1870,1500,1991,1444,1482">que</WORD>
<WORD coords="2052,1482,2161,1445,1481">son</WORD>
<WORD coords="2218,1483,2242,1435,1483">1</WORD>
<WORD coords="2310,1491,2492,1446,1483">vara,</WORD>
<WORD coords="2565,1487,2603,1434,1487">7</WORD>
<WORD coords="2654,1508,2954,1433,1488">pulgadas</WORD>
<WORD coords="2980,1512,3031,1454,1512">y</WORD>
</LINE>
<LINE>
<WORD coords="677,1577,857,1534,1574">cerca</WORD>
<WORD coords="915,1578,991,1522,1578">de</WORD>
<WORD coords="1045,1580,1071,1530,1584">1</WORD>
<WORD coords="1108,1581,1286,1525,1579">linea.</WORD>
<WORD coords="1383,1584,1457,1528,1583">El</WORD>
<WORD coords="1511,1586,1709,1542,1584">metro</WORD>
<WORD coords="1763,1588,1828,1550,1587">es</WORD>
<WORD coords="1886,1588,1944,1531,1587">la</WORD>
<WORD coords="1993,1589,2227,1531,1587">unidad</WORD>
<WORD coords="2282,1590,2356,1534,1590">de</WORD>
<WORD coords="2413,1614,2714,1535,1591">longitud.</WORD>
<WORD coords="2763,1600,2859,1540,1599">La</WORD>
<WORD coords="2890,1604,3027,1548,1603">uni-</WORD>
</LINE>
<LINE>
<WORD coords="668,1693,794,1636,1692">dad</WORD>
<WORD coords="851,1690,927,1634,1689">de</WORD>
<WORD coords="985,1707,1309,1632,1688">superficie</WORD>
<WORD coords="1359,1690,1426,1654,1689">es</WORD>
<WORD coords="1472,1692,1526,1636,1691">la</WORD>
<WORD coords="1586,1693,1714,1638,1693">Ara</WORD>
<WORD coords="1745,1705,1764,1682,1705">,</WORD>
<WORD coords="1792,1715,1833,1657,1706">y</WORD>
<WORD coords="1881,1695,1945,1658,1694">es</WORD>
<WORD coords="2006,1696,2087,1659,1695">un</WORD>
<WORD coords="2150,1700,2465,1642,1698">cuadrado</WORD>
<WORD coords="2519,1702,2596,1645,1702">de</WORD>
<WORD coords="2650,1702,2679,1651,1702">á</WORD>
<WORD coords="2726,1711,2872,1649,1707">diez</WORD>
<WORD coords="2905,1714,3035,1673,1712">me-</WORD>
</LINE>
<LINE>
<WORD coords="670,1797,797,1752,1796">tros</WORD>
<WORD coords="846,1817,956,1756,1794">por</WORD>
<WORD coords="1012,1796,1174,1739,1794">lado.</WORD>
<WORD coords="1266,1796,1356,1740,1795">La</WORD>
<WORD coords="1389,1799,1624,1741,1796">unidad</WORD>
<WORD coords="1679,1800,1757,1745,1799">de</WORD>
<WORD coords="1813,1804,2056,1744,1799">solidez</WORD>
<WORD coords="2109,1805,2175,1765,1803">es</WORD>
<WORD coords="2222,1804,2276,1748,1803">la</WORD>
<WORD coords="2319,1808,2540,1749,1806">Estere</WORD>
<WORD coords="2558,1828,2639,1773,1821">¡y</WORD>
<WORD coords="2666,1812,2731,1775,1812">es</WORD>
<WORD coords="2788,1816,2871,1776,1815">un</WORD>
<WORD coords="2902,1819,3032,1779,1817">me.</WORD>
</LINE>
<LINE>
<WORD coords="661,1905,759,1859,1903">tro</WORD>
<WORD coords="819,1903,1038,1847,1901">cubico</WORD>
<WORD coords="1074,1915,1090,1870,1915">;</WORD>
<WORD coords="1150,1919,1368,1846,1901">quiero</WORD>
<WORD coords="1420,1904,1592,1849,1903">decir</WORD>
<WORD coords="1635,1907,1715,1869,1906">un</WORD>
<WORD coords="1761,1908,1922,1850,1906">dado</WORD>
<WORD coords="1986,1908,2061,1851,1907">de</WORD>
<WORD coords="2095,1929,2282,1855,1909">jugar</WORD>
<WORD coords="2328,1930,2447,1876,1912">que</WORD>
<WORD coords="2490,1916,2653,1857,1913">tiene</WORD>
<WORD coords="2697,1919,2777,1881,1918">un</WORD>
<WORD coords="2824,1925,3027,1877,1922">metro</WORD>
</LINE>
<LINE>
<WORD coords="665,2013,742,1958,2012">de</WORD>
<WORD coords="790,2034,963,1956,2010">largo</WORD>
<WORD coords="998,2024,1017,1999,2021">,</WORD>
<WORD coords="1068,2013,1264,1955,2010">ancho</WORD>
<WORD coords="1321,2033,1363,1976,2033">y</WORD>
<WORD coords="1410,2035,1658,1977,2013">grueso,</WORD>
<WORD coords="1751,2017,1844,1959,2016">La</WORD>
<WORD coords="1905,2020,2139,1963,2018">unidad</WORD>
<WORD coords="2194,2021,2274,1965,2021">de</WORD>
<WORD coords="2332,2039,2668,1969,2023">capacidad</WORD>
<WORD coords="2722,2027,2788,1989,2026">se</WORD>
<WORD coords="2842,2033,3027,1970,2028">llama</WORD>
</LINE>
<LINE>
<WORD coords="661,2119,844,2059,2117">Litre</WORD>
<WORD coords="870,2133,887,2106,2133">,</WORD>
<WORD coords="942,2135,982,2082,2130">y</WORD>
<WORD coords="1040,2118,1105,2081,2117">es</WORD>
<WORD coords="1153,2120,1233,2082,2119">un</WORD>
<WORD coords="1280,2121,1440,2065,2119">cubo</WORD>
<WORD coords="1494,2123,1695,2063,2121">hueco</WORD>
<WORD coords="1753,2142,1871,2087,2124">que</WORD>
<WORD coords="1934,2126,2101,2069,2124">tiene</WORD>
<WORD coords="2149,2143,2259,2089,2127">por</WORD>
<WORD coords="2305,2129,2449,2071,2128">lado</WORD>
<WORD coords="2503,2131,2585,2094,2131">un</WORD>
<WORD coords="2640,2135,2889,2076,2132">décimo</WORD>
<WORD coords="2946,2140,3025,2081,2138">de</WORD>
</LINE>
<LINE>
<WORD coords="663,2224,884,2180,2222">metro.</WORD>
<WORD coords="978,2223,1071,2166,2222">La</WORD>
<WORD coords="1129,2225,1357,2167,2222">Grama</WORD>
<WORD coords="1400,2228,1465,2189,2227">es</WORD>
<WORD coords="1527,2228,1581,2172,2227">la</WORD>
<WORD coords="1643,2229,1878,2171,2228">unidad</WORD>
<WORD coords="1933,2229,2011,2173,2229">de</WORD>
<WORD coords="2068,2247,2214,2194,2231">peso</WORD>
<WORD coords="2245,2246,2261,2220,2246">,</WORD>
<WORD coords="2293,2254,2334,2197,2244">y</WORD>
<WORD coords="2389,2234,2452,2198,2233">es</WORD>
<WORD coords="2503,2257,2669,2180,2236">igual</WORD>
<WORD coords="2728,2241,2760,2185,2241">á</WORD>
<WORD coords="2792,2243,2873,2203,2241">un</WORD>
<WORD coords="2917,2245,3024,2206,2243">cu-</WORD>
</LINE>
<LINE>
<WORD coords="657,2330,696,2272,2330">b</WORD>
<WORD coords="726,2322,735,2300,2329">»</WORD>
<WORD coords="783,2328,859,2272,2328">de</WORD>
<WORD coords="915,2350,1073,2293,2329">agua</WORD>
<WORD coords="1119,2334,1427,2274,2331">destilada</WORD>
<WORD coords="1474,2352,1592,2295,2332">que</WORD>
<WORD coords="1647,2354,1830,2287,2332">tenga</WORD>
<WORD coords="1876,2353,1985,2297,2333">por</WORD>
<WORD coords="2031,2338,2175,2279,2336">lado</WORD>
<WORD coords="2223,2338,2302,2300,2337">un</WORD>
<WORD coords="2355,2342,2699,2285,2339">centesimo</WORD>
<WORD coords="2759,2344,2836,2289,2343">de</WORD>
<WORD coords="2895,2348,3027,2309,2346">me-</WORD>
</LINE>
<LINE>
<WORD coords="657,2435,782,2388,2432">tro.</WORD>
<WORD coords="874,2435,962,2378,2434">La</WORD>
<WORD coords="1016,2437,1282,2381,2436">moneda</WORD>
<WORD coords="1332,2459,1454,2402,2441">que</WORD>
<WORD coords="1524,2441,1690,2385,2439">sirve</WORD>
<WORD coords="1749,2440,1827,2384,2439">de</WORD>
<WORD coords="1877,2442,2111,2383,2440">unidad</WORD>
<WORD coords="2144,2457,2159,2430,2457">,</WORD>
<WORD coords="2218,2462,2359,2407,2443">pesa</WORD>
<WORD coords="2406,2445,2580,2388,2444">cinco</WORD>
<WORD coords="2636,2471,2914,2412,2448">gramas*</WORD>
<WORD coords="2950,2457,3025,2416,2455">su</WORD>
</LINE>
<LINE>
<WORD coords="658,2560,760,2483,2538">ley</WORD>
<WORD coords="802,2540,864,2504,2539">es</WORD>
<WORD coords="913,2541,988,2484,2540">de</WORD>
<WORD coords="1042,2545,1238,2505,2543">nueve</WORD>
<WORD coords="1284,2551,1566,2487,2547">décimos</WORD>
<WORD coords="1624,2547,1702,2488,2546">de</WORD>
<WORD coords="1757,2568,1911,2492,2546">plata</WORD>
<WORD coords="1943,2570,1985,2512,2561">y</WORD>
<WORD coords="2025,2552,2107,2511,2551">un</WORD>
<WORD coords="2159,2555,2411,2494,2553">décimo</WORD>
<WORD coords="2463,2555,2540,2497,2555">de</WORD>
<WORD coords="2601,2559,2782,2501,2557">cobre</WORD>
<WORD coords="2816,2574,2834,2545,2574">,</WORD>
<WORD coords="2879,2579,2918,2521,2571">y</WORD>
<WORD coords="2956,2563,3023,2523,2561">se</WORD>
</LINE>
<LINE>
<WORD coords="658,2645,844,2587,2644">llama</WORD>
<WORD coords="870,2668,1129,2589,2650">franco.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="908,2753,1030,2696,2752">Las</WORD>
<WORD coords="1087,2759,1392,2698,2756">unidades</WORD>
<WORD coords="1448,2762,1666,2702,2760">dirhas</WORD>
<WORD coords="1723,2764,1788,2725,2762">se</WORD>
<WORD coords="1840,2788,2223,2710,2766">multiplican</WORD>
<WORD coords="2285,2788,2396,2733,2771">por</WORD>
<WORD coords="2467,2787,2577,2722,2777">10,</WORD>
<WORD coords="2626,2779,2785,2719,2773">100,</WORD>
<WORD coords="2841,2788,3019,2719,2773">1000,</WORD>
</LINE>
<LINE>
<WORD coords="658,2871,881,2805,2860">10000,</WORD>
<WORD coords="917,2862,1144,2803,2860">&amp;£con</WORD>
<WORD coords="1185,2862,1316,2809,2861">solo</WORD>
<WORD coords="1349,2877,1774,2814,2865">anteponerles</WORD>
<WORD coords="1820,2869,1911,2814,2868">los</WORD>
<WORD coords="1960,2874,2246,2817,2871">nombres</WORD>
<WORD coords="2281,2898,2526,2821,2876">griegos</WORD>
<WORD coords="2566,2879,2727,2822,2878">Deca</WORD>
<WORD coords="2760,2894,2997,2822,2877">(Diez)</WORD>
<WORD coords="2999,2899,3022,2867,2899">t</WORD>
</LINE>
<LINE>
<WORD coords="661,2964,856,2904,2962">Htcio</WORD>
<WORD coords="905,2986,1172,2909,2963">(ciento)</WORD>
<WORD coords="1208,2985,1224,2956,2980">,</WORD>
<WORD coords="1288,2972,1432,2911,2969">Kilo</WORD>
<WORD coords="1486,2996,1657,2914,2971">[mi¡]</WORD>
<WORD coords="1685,2980,1701,2957,2980">,</WORD>
<WORD coords="1739,2995,1778,2938,2995">y</WORD>
<WORD coords="1811,3003,2016,2922,2977">mirya</WORD>
<WORD coords="2060,3003,2239,2925,2980">[diez</WORD>
<WORD coords="2288,3006,2470,2924,2982">milj¿</WORD>
<WORD coords="2518,2985,2569,2947,2982">v.</WORD>
<WORD coords="2627,3004,2684,2948,2991">g.</WORD>
<WORD coords="2731,2988,3019,2927,2984">Decáme-</WORD>
</LINE>
<LINE>
<WORD coords="650,3067,747,3018,3065">tro</WORD>
<WORD coords="782,3083,799,3055,3080">,</WORD>
<WORD coords="859,3077,1248,3012,3071">Hectómetro</WORD>
<WORD coords="1307,3082,1432,3021,3079">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="895,3178,1021,3121,3177">Las</WORD>
<WORD coords="1081,3184,1333,3124,3181">mismas</WORD>
<WORD coords="1387,3205,1629,3133,3189">quedan</WORD>
<WORD coords="1675,3201,1946,3138,3192">partidas</WORD>
<WORD coords="2021,3208,2129,3159,3195">por</WORD>
<WORD coords="2178,3213,2299,3148,3205">10,</WORD>
<WORD coords="2354,3215,2511,3149,3203">100,</WORD>
<WORD coords="2563,3206,2659,3146,3201">&amp;c</WORD>
<WORD coords="2681,3214,2697,3189,3205">,</WORD>
<WORD coords="2739,3205,2853,3161,3202">con</WORD>
<WORD coords="2909,3200,3015,3160,3200">an-</WORD>
</LINE>
<LINE>
<WORD coords="642,3293,993,3227,3279">teponerles</WORD>
<WORD coords="1049,3287,1134,3231,3285">las</WORD>
<WORD coords="1179,3291,1360,3253,3289">voces</WORD>
<WORD coords="1415,3297,1637,3239,3294">latinas</WORD>
<WORD coords="1694,3303,1860,3238,3300">Deci</WORD>
<WORD coords="1893,3317,1909,3290,3310">,</WORD>
<WORD coords="1959,3304,2134,3247,3302">Centi</WORD>
<WORD coords="2163,3324,2180,3293,3316">,</WORD>
<WORD coords="2229,3309,2381,3248,3307">Mili</WORD>
<WORD coords="2437,3313,2541,3253,3306">t&amp;c</WORD>
<WORD coords="2571,3330,2592,3301,3321">,</WORD>
<WORD coords="2642,3312,2700,3274,3312">v.</WORD>
<WORD coords="2759,3330,2819,3272,3317">g.</WORD>
<WORD coords="2889,3312,3014,3249,3310">De*</WORD>
</LINE>
<LINE>
<WORD coords="642,3384,893,3325,3381">cimttro</WORD>
<WORD coords="924,3399,939,3374,3398">,</WORD>
<WORD coords="973,3398,1364,3333,3391">Centímetro.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="899,3492,972,3437,3491">Ei</WORD>
<WORD coords="1024,3499,1224,3439,3496">Grado</WORD>
<WORD coords="1265,3502,1366,3446,3501">del</WORD>
<WORD coords="1416,3509,1760,3451,3507">meridiano</WORD>
<WORD coords="1791,3516,2081,3468,3514">terrestre</WORD>
<WORD coords="2114,3528,2131,3504,3523">,</WORD>
<WORD coords="2163,3518,2228,3479,3516">es</WORD>
<WORD coords="2265,3538,2407,3478,3520">para</WORD>
<WORD coords="2440,3522,2530,3464,3520">los</WORD>
<WORD coords="2569,3532,2914,3463,3525">Franceses</WORD>
<WORD coords="2946,3533,3005,3469,3528">la</WORD>
</LINE>
<LINE>
<WORD coords="639,3597,982,3537,3592">centesima</WORD>
<WORD coords="1049,3617,1215,3559,3601">parte</WORD>
<WORD coords="1265,3608,1364,3553,3607">del</WORD>
<WORD coords="1439,3617,1773,3559,3613">cuadrante</WORD>
<WORD coords="1826,3618,1902,3564,3618">de</WORD>
<WORD coords="1960,3642,2491,3566,3622">circunferencia,</WORD>
<WORD coords="2549,3647,2587,3590,3641">y</WORD>
<WORD coords="2638,3635,2800,3578,3633">tiene</WORD>
<WORD coords="2864,3640,3007,3579,3636">diez</WORD>
</LINE>
<LINE>
<WORD coords="642,3698,933,3641,3694">millones</WORD>
<WORD coords="990,3701,1069,3647,3701">de</WORD>
<WORD coords="1131,3710,1357,3667,3707">metros</WORD>
<WORD coords="1388,3719,1403,3682,3722">;</WORD>
<WORD coords="1443,3715,1513,3660,3714">El</WORD>
<WORD coords="1536,3722,1782,3665,3719">&quot;Grado</WORD>
<WORD coords="1841,3728,2078,3668,3725">francés</WORD>
<WORD coords="2115,3730,2277,3673,3728">tiene</WORD>
<WORD coords="2347,3756,2469,3682,3738">17,</WORD>
<WORD coords="2506,3742,2746,3683,3738">944608</WORD>
<WORD coords="2796,3765,3010,3690,3742">leguas</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="731,3935,827,3853,3908">[a]</WORD>
<WORD coords="923,3909,962,3858,3909">F</WORD>
<WORD coords="980,3914,1103,3872,3914">-tas</WORD>
<WORD coords="1173,3926,1453,3871,3922">medidas</WORD>
<WORD coords="1517,3949,1553,3894,3947">y</WORD>
<WORD coords="1605,3945,1781,3898,3932">pesos</WORD>
<WORD coords="1845,3940,2064,3881,3937">fueron</WORD>
<WORD coords="2121,3948,2489,3885,3944">decretados</WORD>
<WORD coords="2561,3970,2672,3911,3949">por</WORD>
<WORD coords="2752,3952,2811,3897,3951">la</WORD>
<WORD coords="2865,3956,3013,3915,3955">con-</WORD>
</LINE>
<LINE>
<WORD coords="638,4020,906,3979,4017">vención</WORD>
<WORD coords="965,4029,1246,3967,4025">nacional</WORD>
<WORD coords="1303,4033,1378,3994,4032">en</WORD>
<WORD coords="1440,4036,1475,3983,4036">7</WORD>
<WORD coords="1525,4039,1603,3982,4038">de</WORD>
<WORD coords="1659,4046,1848,3986,4044">Abril</WORD>
<WORD coords="1900,4050,1976,3991,4049">de</WORD>
<WORD coords="2019,4053,2196,3995,4050">179$.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0110.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0111.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0111.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1332,660,1540,568,659">101</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="224,774,548,698,755">«spa-ñolas</WORD>
<WORD coords="594,760,670,702,759">de</WORD>
<WORD coords="712,762,744,704,770">á</WORD>
<WORD coords="792,768,1112,708,765">veintemil</WORD>
<WORD coords="1166,788,1296,712,771">pies</WORD>
<WORD coords="1356,798,1380,724,788">(</WORD>
<WORD coords="1412,776,1448,722,776">b</WORD>
<WORD coords="1480,796,1530,722,788">).</WORD>
<WORD coords="1624,782,1696,726,782">El</WORD>
<WORD coords="1742,806,1940,730,785">grado</WORD>
<WORD coords="1982,798,2206,752,792">común</WORD>
<WORD coords="2258,822,2302,760,822">f</WORD>
<WORD coords="2372,810,2594,750,805">recibí-</WORD>
</LINE>
<LINE>
<WORD coords="220,858,304,800,858">•lo</WORD>
<WORD coords="362,864,554,806,862">desde</WORD>
<WORD coords="610,868,662,808,867">la</WORD>
<WORD coords="708,892,1086,812,870">antigüedad</WORD>
<WORD coords="1136,878,1202,840,877">es</WORD>
<WORD coords="1274,880,1330,822,878">la</WORD>
<WORD coords="1390,906,1786,832,885">nonagésima</WORD>
<WORD coords="1856,914,2022,848,898">parte</WORD>
<WORD coords="2080,902,2180,846,900">del</WORD>
<WORD coords="2256,916,2590,854,908">cuadrante</WORD>
</LINE>
<LINE>
<WORD coords="220,966,302,906,965">de</WORD>
<WORD coords="356,966,412,912,966">la</WORD>
<WORD coords="460,978,948,912,972">circunferencia</WORD>
<WORD coords="976,980,994,942,985">:</WORD>
<WORD coords="1048,982,1178,936,982">este</WORD>
<WORD coords="1234,1006,1432,930,985">grado</WORD>
<WORD coords="1496,992,1660,934,990">tiene</WORD>
<WORD coords="1712,996,1794,948,995">20</WORD>
<WORD coords="1850,1022,2060,944,1000">leguas</WORD>
<WORD coords="2112,1024,2432,958,1008">españolas</WORD>
<WORD coords="2484,1034,2594,980,1016">po-</WORD>
</LINE>
<LINE>
<WORD coords="216,1068,294,1030,1068">eo</WORD>
<WORD coords="342,1076,554,1034,1074">menos</WORD>
<WORD coords="602,1078,680,1022,1078">de</WORD>
<WORD coords="728,1080,806,1044,1080">un</WORD>
<WORD coords="854,1088,1104,1028,1085">décimo</WORD>
<WORD coords="1162,1090,1240,1032,1090">de</WORD>
<WORD coords="1292,1114,1494,1036,1092">legua;</WORD>
<WORD coords="1544,1098,1624,1044,1097">60</WORD>
<WORD coords="1696,1104,1898,1046,1101">millas</WORD>
<WORD coords="1970,1128,2236,1054,1108">inglesas</WORD>
<WORD coords="2272,1128,2290,1082,1123">;</WORD>
<WORD coords="2354,1118,2430,1068,1116">25</WORD>
<WORD coords="2504,1122,2590,1066,1120">le-</WORD>
</LINE>
<LINE>
<WORD coords="214,1198,370,1136,1174">guas</WORD>
<WORD coords="424,1184,720,1138,1181">comunes</WORD>
<WORD coords="778,1188,856,1128,1187">de</WORD>
<WORD coords="918,1196,1180,1132,1192">Francia</WORD>
<WORD coords="1210,1216,1232,1180,1216">,</WORD>
<WORD coords="1278,1226,1476,1160,1199">según</WORD>
<WORD coords="1522,1206,1580,1148,1205">el</WORD>
<WORD coords="1642,1216,2040,1150,1212">Diccionario</WORD>
<WORD coords="2102,1244,2470,1162,1222">Geográfico</WORD>
<WORD coords="2494,1232,2576,1170,1231">de</WORD>
</LINE>
<LINE>
<WORD coords="220,1306,504,1220,1283">Vosgien</WORD>
<WORD coords="540,1306,560,1274,1306">,</WORD>
<WORD coords="614,1316,940,1232,1292">Busching</WORD>
<WORD coords="974,1314,994,1282,1309">,</WORD>
<WORD coords="1044,1304,1158,1240,1300">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="566,1482,1236,1408,1474">OPERACIONES</WORD>
<WORD coords="1294,1486,1420,1426,1486">EN</WORD>
<WORD coords="1486,1512,2224,1432,1499">DENOMINADOS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1034,1588,1260,1528,1585">Sumar</WORD>
<WORD coords="1300,1602,1752,1534,1595">denominados.</WORD>
</LINE>
<LINE>
<WORD coords="288,1676,442,1620,1680">150.</WORD>
<WORD coords="538,1682,742,1618,1679">Probl.</WORD>
<WORD coords="786,1704,828,1644,1703">y</WORD>
<WORD coords="858,1690,1120,1630,1687">resoluc.</WORD>
<WORD coords="1154,1694,1332,1636,1693">Para</WORD>
<WORD coords="1384,1702,1592,1660,1698">sumar</WORD>
<WORD coords="1646,1714,2072,1648,1709">denominados</WORD>
<WORD coords="2104,1726,2122,1702,1724">,</WORD>
<WORD coords="2152,1722,2218,1684,1722">se</WORD>
<WORD coords="2252,1738,2446,1682,1722">ponen</WORD>
<WORD coords="2476,1726,2574,1664,1722">los</WORD>
</LINE>
<LINE>
<WORD coords="198,1782,538,1724,1778">aumandos</WORD>
<WORD coords="590,1788,744,1748,1786">unos</WORD>
<WORD coords="784,1816,1010,1734,1792">debajo</WORD>
<WORD coords="1058,1798,1134,1742,1797">de</WORD>
<WORD coords="1180,1802,1348,1758,1800">otros</WORD>
<WORD coords="1382,1820,1398,1792,1814">,</WORD>
<WORD coords="1442,1808,1520,1750,1807">de</WORD>
<WORD coords="1574,1812,1762,1756,1812">modo</WORD>
<WORD coords="1818,1834,1936,1780,1818">que</WORD>
<WORD coords="1984,1826,2226,1762,1821">formen</WORD>
<WORD coords="2280,1830,2572,1772,1827">columna</WORD>
</LINE>
<LINE>
<WORD coords="194,1890,284,1830,1885">las</WORD>
<WORD coords="332,1894,636,1832,1889">unidades</WORD>
<WORD coords="676,1896,754,1838,1895">de</WORD>
<WORD coords="810,1900,928,1860,1898">una</WORD>
<WORD coords="986,1908,1208,1846,1904">misma</WORD>
<WORD coords="1262,1930,1500,1858,1911">especie</WORD>
<WORD coords="1532,1932,1554,1880,1926">;</WORD>
<WORD coords="1596,1920,1660,1882,1919">se</WORD>
<WORD coords="1708,1920,1824,1862,1919">tira</WORD>
<WORD coords="1888,1926,2008,1888,1925">una</WORD>
<WORD coords="2050,1950,2194,1890,1928">raya</WORD>
<WORD coords="2244,1950,2284,1894,1941">y</WORD>
<WORD coords="2340,1932,2404,1896,1931">se</WORD>
<WORD coords="2438,1934,2570,1896,1933">em-</WORD>
</LINE>
<LINE>
<WORD coords="190,2008,376,1948,1990">pieza</WORD>
<WORD coords="422,1994,454,1938,2005">á</WORD>
<WORD coords="500,1998,710,1958,1996">sumar</WORD>
<WORD coords="770,2020,880,1964,2002">por</WORD>
<WORD coords="930,2008,1014,1950,2005">las</WORD>
<WORD coords="1062,2018,1372,1952,2013">unidades</WORD>
<WORD coords="1416,2022,1492,1962,2021">de</WORD>
<WORD coords="1548,2024,1600,1972,2023">la</WORD>
<WORD coords="1668,2030,1936,1968,2027">dere.ha</WORD>
<WORD coords="1994,2052,2112,1996,2034">que</WORD>
<WORD coords="2168,2036,2284,1998,2036">son</WORD>
<WORD coords="2340,2036,2428,1980,2036">las</WORD>
<WORD coords="2470,2038,2566,1980,2038">in-</WORD>
</LINE>
<LINE>
<WORD coords="194,2100,456,2038,2096">feriores</WORD>
<WORD coords="480,2102,494,2064,2112">:</WORD>
<WORD coords="534,2102,586,2046,2102">si</WORD>
<WORD coords="638,2106,716,2048,2105">de</WORD>
<WORD coords="768,2108,822,2054,2107">la</WORD>
<WORD coords="880,2112,1058,2074,2111">suma</WORD>
<WORD coords="1104,2116,1182,2060,2116">de</WORD>
<WORD coords="1234,2122,1396,2076,2121">estas</WORD>
<WORD coords="1452,2130,1724,2078,2125">resultan</WORD>
<WORD coords="1798,2138,2100,2078,2135">unidades</WORD>
<WORD coords="2166,2158,2550,2086,2140">superiores,</WORD>
</LINE>
<LINE>
<WORD coords="196,2200,264,2162,2200">se</WORD>
<WORD coords="312,2224,662,2152,2206">guardarán</WORD>
<WORD coords="714,2230,854,2176,2214">para</WORD>
<WORD coords="900,2224,1202,2166,2219">sumarlas</WORD>
<WORD coords="1258,2228,1370,2188,2227">con</WORD>
<WORD coords="1416,2230,1472,2174,2230">la</WORD>
<WORD coords="1514,2240,1800,2186,2235">columna</WORD>
<WORD coords="1840,2260,2170,2182,2241">siguiente.</WORD>
<WORD coords="2244,2248,2562,2190,2246">Procéda-</WORD>
</LINE>
<LINE>
<WORD coords="186,2304,254,2266,2304">se</WORD>
<WORD coords="298,2306,396,2252,2306">del</WORD>
<WORD coords="440,2316,666,2256,2312">mismo</WORD>
<WORD coords="718,2324,906,2264,2321">nudo</WORD>
<WORD coords="960,2324,1072,2286,2324">c«n</WORD>
<WORD coords="1122,2334,1306,2274,2332">todas</WORD>
<WORD coords="1366,2336,1452,2278,2335">las</WORD>
<WORD coords="1512,2360,1870,2284,2341">columnas,</WORD>
<WORD coords="1928,2368,1968,2310,2360">y</WORD>
<WORD coords="2014,2352,2072,2296,2351">el</WORD>
<WORD coords="2122,2354,2384,2314,2353">numero</WORD>
<WORD coords="2432,2370,2558,2312,2353">que</WORD>
</LINE>
<LINE>
<WORD coords="176,2420,404,2362,2418">resulte</WORD>
<WORD coords="446,2446,670,2366,2424">debajo</WORD>
<WORD coords="720,2432,798,2374,2431">de</WORD>
<WORD coords="866,2436,920,2380,2435">la</WORD>
<WORD coords="970,2454,1114,2398,2436">raya</WORD>
<WORD coords="1154,2444,1290,2406,2442">sera</WORD>
<WORD coords="1336,2446,1390,2390,2446">la</WORD>
<WORD coords="1442,2452,1616,2412,2451">suma</WORD>
<WORD coords="1668,2474,1918,2400,2457">pedida.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="420,2552,714,2470,2530">Ejemplo.</WORD>
<WORD coords="804,2548,1104,2482,2543">Súmense</WORD>
<WORD coords="1152,2548,1190,2498,2551">8</WORD>
<WORD coords="1246,2554,1438,2512,2552">varas</WORD>
<WORD coords="1468,2570,1486,2542,2565">,</WORD>
<WORD coords="1532,2560,1568,2510,2560">2</WORD>
<WORD coords="1738,2566,1774,2512,2561">8</WORD>
<WORD coords="1844,2566,1934,2526,2565">vs.</WORD>
<WORD coords="2004,2566,2040,2518,2566">2</WORD>
<WORD coords="2084,2572,2232,2520,2568">tere.</WORD>
<WORD coords="2294,2570,2330,2518,2570">8</WORD>
<WORD coords="2366,2594,2554,2512,2570">p,Jg.</WORD>
</LINE>
<LINE>
<WORD coords="174,2630,400,2580,2626">teretes</WORD>
<WORD coords="446,2652,482,2596,2648">y</WORD>
<WORD coords="538,2636,574,2586,2640">8</WORD>
<WORD coords="632,2662,940,2584,2642">pulgadas</WORD>
<WORD coords="974,2662,990,2636,2658">,</WORD>
<WORD coords="1046,2654,1160,2614,2650">con</WORD>
<WORD coords="1246,2658,1280,2604,2658">7</WORD>
<WORD coords="1350,2660,1436,2622,2658">vs,</WORD>
<WORD coords="1536,2664,1564,2614,2664">l</WORD>
<WORD coords="1740,2668,1776,2614,2665">7</WORD>
<WORD coords="2016,2674,2044,2622,2674">i</WORD>
<WORD coords="2298,2676,2338,2622,2676">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="172,2736,322,2682,2733">te*c.</WORD>
<WORD coords="374,2758,416,2700,2757">y</WORD>
<WORD coords="468,2740,508,2688,2748">6</WORD>
<WORD coords="558,2768,716,2692,2746">pulg</WORD>
<WORD coords="754,2766,774,2734,2761">,</WORD>
<WORD coords="828,2754,942,2714,2751">con</WORD>
<WORD coords="1000,2756,1038,2706,2756">5</WORD>
<WORD coords="1094,2764,1184,2718,2760">vs.</WORD>
<WORD coords="1230,2764,1270,2714,2764">2</WORD>
<WORD coords="1324,2768,1472,2724,2766">ierc.</WORD>
<WORD coords="1526,2790,1568,2730,2781">y</WORD>
<WORD coords="1738,2772,1776,2724,2772">5</WORD>
<WORD coords="2006,2778,2046,2730,2773">2</WORD>
<WORD coords="2294,2782,2334,2730,2782">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="172,2836,208,2788,2836">5</WORD>
<WORD coords="1770,2880,1790,2854,2880">,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="284,2930,588,2868,2926">Colocaré</WORD>
<WORD coords="646,2934,740,2874,2932">los</WORD>
<WORD coords="804,2946,1142,2886,2941">sumandos</WORD>
<WORD coords="1174,2962,1192,2934,2962">,</WORD>
<WORD coords="1254,2954,1434,2912,2952">como</WORD>
<WORD coords="1684,2962,1762,2916,2962">a2</WORD>
<WORD coords="1804,2964,1892,2926,2964">vs.</WORD>
<WORD coords="2076,2972,2224,2922,2968">tere.</WORD>
<WORD coords="2282,2972,2314,2920,2972">7</WORD>
<WORD coords="2350,2994,2532,2920,2971">pulg.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="162,3026,230,2988,3026">se</WORD>
<WORD coords="288,3030,364,2990,3028">ve</WORD>
<WORD coords="420,3032,452,2980,3044">á</WORD>
<WORD coords="508,3036,588,2980,3033">la,</WORD>
<WORD coords="618,3064,920,3000,3040">margen,</WORD>
<WORD coords="976,3068,1018,3012,3062">y</WORD>
<WORD coords="1076,3056,1256,3016,3053">sumo</WORD>
<WORD coords="1308,3060,1392,3002,3058">las</WORD>
<WORD coords="1444,3084,1788,3006,3062">pulgadas,</WORD>
<WORD coords="1844,3068,1902,3012,3067">lo</WORD>
<WORD coords="1958,3090,2078,3034,3073">que</WORD>
<WORD coords="2138,3076,2238,3036,3075">me</WORD>
<WORD coords="2316,3078,2394,3020,3077">da</WORD>
<WORD coords="2450,3078,2526,3022,3078">19</WORD>
</LINE>
<LINE>
<WORD coords="144,3152,458,3074,3132">pulgadas</WORD>
<WORD coords="490,3142,512,3102,3151">;</WORD>
<WORD coords="546,3158,690,3104,3142">pero</WORD>
<WORD coords="742,3154,922,3110,3149">como</WORD>
<WORD coords="974,3156,1048,3118,3155">en</WORD>
<WORD coords="1090,3158,1160,3106,3158">19</WORD>
<WORD coords="1186,3182,1282,3116,3182">M</WORD>
<WORD coords="1284,3184,1340,3110,3184">¿</WORD>
<WORD coords="1414,3188,1534,3108,3166">hay</WORD>
<WORD coords="1594,3170,1622,3118,3170">1</WORD>
<WORD coords="1680,3172,1868,3116,3171">tercia</WORD>
<WORD coords="1914,3194,1956,3138,3185">y</WORD>
<WORD coords="2008,3176,2036,3126,3176">7</WORD>
<WORD coords="2062,3200,2220,3124,3178">pulg</WORD>
<WORD coords="2272,3192,2288,3168,3192">,</WORD>
<WORD coords="2320,3206,2526,3144,3182">pongo</WORD>
</LINE>
<LINE>
<WORD coords="152,3234,212,3184,3233">el</WORD>
<WORD coords="266,3236,300,3184,3252">7</WORD>
<WORD coords="328,3258,370,3202,3263">y</WORD>
<WORD coords="420,3246,580,3188,3242">llevo</WORD>
<WORD coords="636,3250,660,3200,3259">1</WORD>
<WORD coords="708,3252,738,3214,3252">a</WORD>
<WORD coords="772,3254,824,3196,3253">la</WORD>
<WORD coords="860,3264,1146,3202,3259">columna</WORD>
<WORD coords="1196,3286,1504,3228,3267">siguiente</WORD>
<WORD coords="1538,3272,1614,3216,3271">de</WORD>
<WORD coords="1670,3274,1756,3218,3273">las</WORD>
<WORD coords="1806,3282,2032,3226,3278">tercias</WORD>
<WORD coords="2068,3286,2084,3250,3286">:</WORD>
<WORD coords="2138,3286,2316,3248,3285">sumo</WORD>
<WORD coords="2352,3298,2520,3246,3290">estaa</WORD>
</LINE>
<LINE>
<WORD coords="142,3364,536,3282,3346">juntamente</WORD>
<WORD coords="596,3360,714,3320,3356">con</WORD>
<WORD coords="768,3362,822,3308,3360">la</WORD>
<WORD coords="864,3366,886,3318,3370">1</WORD>
<WORD coords="926,3368,1116,3312,3367">tercia</WORD>
<WORD coords="1164,3386,1284,3334,3372">que</WORD>
<WORD coords="1318,3386,1518,3318,3373">llevé,</WORD>
<WORD coords="1558,3398,1600,3340,3398">y</WORD>
<WORD coords="1636,3402,1818,3336,3379">tengo</WORD>
<WORD coords="1850,3384,1888,3334,3384">6</WORD>
<WORD coords="1920,3390,2142,3334,3387">tercias</WORD>
<WORD coords="2190,3410,2224,3356,3410">q</WORD>
<WORD coords="2238,3396,2310,3358,3395">ue</WORD>
<WORD coords="2350,3406,2522,3362,3402">com-</WORD>
</LINE>
<LINE>
<WORD coords="148,3464,348,3406,3447">ponen</WORD>
<WORD coords="402,3456,438,3406,3468">2</WORD>
<WORD coords="498,3462,676,3420,3459">varas</WORD>
<WORD coords="730,3472,970,3412,3468">cabales</WORD>
<WORD coords="1004,3486,1020,3460,3486">,</WORD>
<WORD coords="1056,3498,1216,3438,3475">pong</WORD>
<WORD coords="1240,3476,1256,3444,3478">&gt;</WORD>
<WORD coords="1302,3480,1346,3432,3480">O</WORD>
<WORD coords="1392,3502,1436,3444,3496">y</WORD>
<WORD coords="1484,3490,1644,3428,3484">lleva</WORD>
<WORD coords="1706,3488,1738,3440,3488">2</WORD>
<WORD coords="1792,3492,1968,3452,3489">varas</WORD>
<WORD coords="2010,3506,2028,3460,3503">;</WORD>
<WORD coords="2062,3500,2240,3460,3497">sumo</WORD>
<WORD coords="2288,3506,2370,3448,3504">las</WORD>
<WORD coords="2406,3510,2506,3472,3509">va.</WORD>
</LINE>
<LINE>
<WORD coords="144,3552,242,3510,3552">ras</WORD>
<WORD coords="292,3560,406,3518,3556">con</WORD>
<WORD coords="466,3562,552,3504,3562">las</WORD>
<WORD coords="586,3566,622,3520,3575">2</WORD>
<WORD coords="656,3588,776,3534,3572">que</WORD>
<WORD coords="824,3582,1074,3524,3575">reservé</WORD>
<WORD coords="1102,3592,1116,3572,3588">,</WORD>
<WORD coords="1148,3582,1204,3528,3581">lo</WORD>
<WORD coords="1254,3602,1374,3550,3587">que</WORD>
<WORD coords="1424,3588,1520,3552,3587">me</WORD>
<WORD coords="1576,3592,1654,3534,3590">da</WORD>
<WORD coords="1712,3596,1788,3544,3595">22</WORD>
<WORD coords="1846,3600,2052,3558,3597">varas.</WORD>
<WORD coords="2152,3628,2318,3548,3604">Digo</WORD>
<WORD coords="2356,3632,2510,3574,3616">pueg</WORD>
</LINE>
<LINE>
<WORD coords="154,3676,278,3618,3659">que</WORD>
<WORD coords="334,3664,390,3606,3662">la</WORD>
<WORD coords="442,3674,620,3632,3670">suma</WORD>
<WORD coords="676,3692,906,3622,3676">pedida</WORD>
<WORD coords="952,3684,1018,3648,3683">es</WORD>
<WORD coords="1070,3688,1146,3640,3688">22</WORD>
<WORD coords="1206,3690,1292,3650,3690">vs.</WORD>
<WORD coords="1356,3694,1394,3640,3694">7</WORD>
<WORD coords="1426,3718,1600,3640,3693">pulg.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="138,3838,254,3816,3833">—</WORD>
<WORD coords="346,3776,362,3752,3776">:</WORD>
<WORD coords="366,3828,534,3696,3828">fi^</WORD>
<WORD coords="532,3784,864,3726,3778">t0Strf,cicn</WORD>
<WORD coords="870,3786,884,3768,3799">-</WORD>
<WORD coords="980,3790,1064,3732,3789">Ht</WORD>
<WORD coords="1064,3792,1142,3756,3781">-™</WORD>
<WORD coords="1152,3792,1218,3758,3792">,,s</WORD>
<WORD coords="1280,3798,1542,3744,3795">sumado</WORD>
<WORD coords="1616,3806,1798,3744,3800">tr-das</WORD>
<WORD coords="1872,3808,1958,3752,3806">las</WORD>
<WORD coords="2034,3822,2334,3758,3818">.mMades</WORD>
<WORD coords="2390,3824,2498,3766,3824">ho-</WORD>
</LINE>
<LINE>
<WORD coords="218,3948,320,3878,3928">(o)</WORD>
<WORD coords="418,3942,712,3878,3939">Metham</WORD>
<WORD coords="768,3964,808,3910,3963">y</WORD>
<WORD coords="852,3956,1178,3900,3952">Oelambre</WORD>
<WORD coords="1214,3966,1588,3914,3960">terminaron</WORD>
<WORD coords="1640,3966,1712,3934,3965">r.u</WORD>
<WORD coords="1764,3968,1784,3924,3968">1</WORD>
<WORD coords="1804,3978,2140,3868,3950">79~ü~7é</WORD>
<WORD coords="2172,3978,2192,3950,3978">t</WORD>
<WORD coords="2208,3984,2336,3880,3982">bT</WORD>
<WORD coords="2366,3982,2496,3878,3980">r^Z</WORD>
</LINE>
<LINE>
<WORD coords="136,4028,176,3970,4028">d</WORD>
<WORD coords="212,4036,344,3990,4031">cu,n</WORD>
<WORD coords="392,4040,490,3982,4039">del</WORD>
<WORD coords="532,4044,674,4008,4043">arco</WORD>
<WORD coords="732,4050,832,3994,4049">del</WORD>
<WORD coords="896,4064,1244,4002,4059">meridiano</WORD>
<WORD coords="1290,4072,1582,4022,4066">terrece</WORD>
<WORD coords="1626,4094,2070,4026,4076">comprendió</WORD>
<WORD coords="2112,4090,2276,4040,4087">tnt.e</WORD>
<WORD coords="2314,4090,2490,4030,4089">Don-</WORD>
</LINE>
<LINE>
<WORD coords="136,4156,366,4078,4136">kcique</WORD>
<WORD coords="436,4166,474,4108,4160">y</WORD>
<WORD coords="530,4160,896,4092,4153">Barcelona.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1264,4256,1350,4200,4255">27</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0111.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0112.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0112.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1758,630,1974,536,630">10^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="675,765,1016,703,745">«Bogeneas</WORD>
<WORD coords="1073,749,1149,690,748">de</WORD>
<WORD coords="1202,768,1322,708,748">que</WORD>
<WORD coords="1381,748,1448,707,748">se</WORD>
<WORD coords="1501,771,1852,708,747">componen</WORD>
<WORD coords="1892,750,1983,700,748">ius</WORD>
<WORD coords="2040,753,2376,692,751">sumandos</WORD>
<WORD coords="2406,765,2425,715,765">j</WORD>
<WORD coords="2461,773,2651,694,752">luego</WORD>
<WORD coords="2683,761,2913,696,758">fiemos</WORD>
<WORD coords="2948,773,3078,691,763">iÉ$tJ</WORD>
</LINE>
<LINE>
<WORD coords="683,852,872,801,851">macio</WORD>
<WORD coords="929,855,1114,808,852">estos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1433,961,1831,879,938">Multiplican</WORD>
<WORD coords="1856,941,2306,882,939">denominados,</WORD>
<WORD coords="3033,946,3055,920,946">A</WORD>
</LINE>
<LINE>
<WORD coords="766,1042,904,990,1042">151.</WORD>
<WORD coords="1001,1041,1100,985,1040">Pr&lt;</WORD>
<WORD coords="1124,1051,1209,986,1043">bj,</WORD>
<WORD coords="1262,1049,1303,1007,1049">y</WORD>
<WORD coords="1352,1053,1618,992,1046">resokic</WORD>
<WORD coords="1714,1051,1879,1012,1049">rara</WORD>
<WORD coords="1932,1072,2303,994,1049">multiplicar</WORD>
<WORD coords="2343,1053,2766,992,1049">denominados</WORD>
<WORD coords="2799,1066,2816,1039,1060">,</WORD>
<WORD coords="2846,1055,3055,1013,1051">record</WORD>
</LINE>
<LINE>
<WORD coords="677,1148,970,1089,1146">daremos</WORD>
<WORD coords="1028,1166,1148,1112,1149">que</WORD>
<WORD coords="1209,1174,1352,1093,1160">(41)</WORD>
<WORD coords="1389,1152,1443,1098,1151">el</WORD>
<WORD coords="1504,1173,1807,1098,1154">producto</WORD>
<WORD coords="1863,1155,1928,1120,1155">es</WORD>
<WORD coords="1989,1155,2068,1103,1154">de</WORD>
<WORD coords="2129,1154,2182,1104,1154">la</WORD>
<WORD coords="2245,1157,2467,1100,1155">misma</WORD>
<WORD coords="2511,1176,2752,1102,1156">especie</WORD>
<WORD coords="2814,1177,2931,1123,1159">que</WORD>
<WORD coords="2985,1170,3048,1111,1165">et</WORD>
</LINE>
<LINE>
<WORD coords="675,1268,1148,1196,1251">multiplicando</WORD>
<WORD coords="1183,1270,1201,1220,1264">;</WORD>
<WORD coords="1231,1258,1306,1201,1256">de</WORD>
<WORD coords="1362,1258,1464,1199,1256">ahí</WORD>
<WORD coords="1494,1259,1557,1223,1258">es</WORD>
<WORD coords="1585,1265,1601,1242,1265">,</WORD>
<WORD coords="1653,1279,1772,1223,1260">que</WORD>
<WORD coords="1822,1259,1871,1205,1258">si</WORD>
<WORD coords="1905,1260,1972,1224,1260">se</WORD>
<WORD coords="2008,1262,2234,1205,1260">buscan</WORD>
<WORD coords="2289,1261,2483,1205,1260">reales</WORD>
<WORD coords="2518,1263,2554,1228,1263">o</WORD>
<WORD coords="2590,1281,2764,1228,1262">pesos</WORD>
<WORD coords="2790,1281,2808,1250,1273">,</WORD>
<WORD coords="2838,1266,2891,1210,1264">el</WORD>
<WORD coords="2919,1267,3047,1208,1265">fie</WORD>
</LINE>
<LINE>
<WORD coords="674,1357,773,1310,1357">tor</WORD>
<WORD coords="831,1360,910,1303,1360">de</WORD>
<WORD coords="983,1362,1055,1324,1361">su</WORD>
<WORD coords="1111,1380,1357,1307,1361">especie</WORD>
<WORD coords="1414,1366,1550,1328,1364">sera</WORD>
<WORD coords="1606,1367,1663,1312,1366">el</WORD>
<WORD coords="1727,1382,2219,1312,1366">multiplicando.</WORD>
<WORD coords="2313,1384,2622,1312,1368">Supuesto</WORD>
<WORD coords="2677,1370,2809,1325,1368">esto</WORD>
<WORD coords="2840,1385,2856,1359,1385">,</WORD>
<WORD coords="2915,1392,3042,1319,1373">eje-</WORD>
</LINE>
<LINE>
<WORD coords="674,1466,886,1419,1464">cútese</WORD>
<WORD coords="940,1466,999,1412,1466">lo</WORD>
<WORD coords="1046,1489,1356,1411,1468">siguiente</WORD>
<WORD coords="1393,1472,1407,1434,1472">:</WORD>
<WORD coords="1474,1482,1531,1421,1477">l&gt;</WORD>
<WORD coords="1650,1478,1720,1415,1478">R.</WORD>
<WORD coords="1747,1477,2015,1414,1473">duzcase</WORD>
<WORD coords="2073,1473,2129,1419,1472">el</WORD>
<WORD coords="2191,1484,2664,1417,1473">multiplicando</WORD>
<WORD coords="2718,1475,2748,1420,1475">á</WORD>
<WORD coords="2803,1475,2857,1420,1474">la</WORD>
<WORD coords="2920,1477,3047,1440,1476">me-</WORD>
</LINE>
<LINE>
<WORD coords="668,1570,785,1529,1567">nor</WORD>
<WORD coords="841,1571,917,1515,1570">de</WORD>
<WORD coords="977,1575,1081,1536,1573">sus</WORD>
<WORD coords="1131,1594,1408,1518,1575">especies</WORD>
<WORD coords="1449,1590,1465,1564,1590">,</WORD>
<WORD coords="1513,1592,1549,1541,1592">y</WORD>
<WORD coords="1610,1593,1908,1533,1578">apuntase</WORD>
<WORD coords="1966,1580,1995,1543,1580">a</WORD>
<WORD coords="2046,1580,2475,1525,1578">continuación</WORD>
<WORD coords="2538,1584,2637,1525,1581">del</WORD>
<WORD coords="2698,1583,2956,1543,1581">numero</WORD>
<WORD coords="2989,1584,3048,1525,1581">ei</WORD>
</LINE>
<LINE>
<WORD coords="670,1678,929,1621,1676">nombre</WORD>
<WORD coords="984,1680,1063,1624,1680">de</WORD>
<WORD coords="1125,1682,1214,1627,1681">las</WORD>
<WORD coords="1275,1685,1580,1626,1682">unidades</WORD>
<WORD coords="1638,1688,1877,1627,1685">ínfimas</WORD>
<WORD coords="1913,1700,1931,1652,1694">;</WORD>
<WORD coords="1984,1688,2326,1630,1684">redúzcase</WORD>
<WORD coords="2398,1686,2668,1629,1684">también</WORD>
<WORD coords="2714,1688,2768,1633,1687">el</WORD>
<WORD coords="2834,1689,3047,1631,1688">multi-</WORD>
</LINE>
<LINE>
<WORD coords="671,1802,953,1725,1782">plicador</WORD>
<WORD coords="1007,1786,1034,1735,1788">á</WORD>
<WORD coords="1102,1791,1206,1753,1789">sus</WORD>
<WORD coords="1267,1795,1571,1733,1790">unidades</WORD>
<WORD coords="1630,1791,1706,1735,1790">de</WORD>
<WORD coords="1769,1806,2012,1734,1790">especie</WORD>
<WORD coords="2071,1791,2278,1734,1789">ínfima</WORD>
<WORD coords="2310,1807,2326,1779,1807">f</WORD>
<WORD coords="2385,1813,2427,1755,1802">y</WORD>
<WORD coords="2484,1791,2536,1736,1790">al</WORD>
<WORD coords="2604,1793,2863,1755,1791">numero</WORD>
<WORD coords="2922,1812,3044,1757,1795">que</WORD>
</LINE>
<LINE>
<WORD coords="671,1894,905,1839,1893">resulte</WORD>
<WORD coords="969,1915,1300,1839,1893">póngasele</WORD>
<WORD coords="1388,1916,1498,1857,1895">por</WORD>
<WORD coords="1574,1899,2027,1839,1896">denominador</WORD>
<WORD coords="2078,1897,2132,1849,1896">el</WORD>
<WORD coords="2196,1897,2455,1859,1895">numero</WORD>
<WORD coords="2519,1897,2596,1840,1896">de</WORD>
<WORD coords="2662,1900,2845,1860,1898">veces</WORD>
<WORD coords="2926,1916,3048,1860,1900">que</WORD>
</LINE>
<LINE>
<WORD coords="667,2002,728,1943,2002">la</WORD>
<WORD coords="766,2002,996,1945,2001">unidad</WORD>
<WORD coords="1056,2003,1264,1945,2001">ínfima</WORD>
<WORD coords="1326,2002,1473,1945,2001">cabe</WORD>
<WORD coords="1532,2002,1607,1965,2002">en</WORD>
<WORD coords="1666,2002,1721,1955,2001">la</WORD>
<WORD coords="1778,2019,2044,1946,2000">primera</WORD>
<WORD coords="2091,2004,2326,1945,2001">unidad</WORD>
<WORD coords="2381,2005,2667,1948,2002">superior</WORD>
<WORD coords="2724,2006,2822,1951,2005">del</WORD>
<WORD coords="2885,2010,3042,1953,2007">muí»</WORD>
</LINE>
<LINE>
<WORD coords="666,2115,999,2049,2107">tiplicador</WORD>
<WORD coords="1032,2120,1051,2094,2120">,</WORD>
<WORD coords="1095,2127,1130,2071,2127">y</WORD>
<WORD coords="1194,2128,1399,2051,2107">queda</WORD>
<WORD coords="1451,2109,1756,2051,2107">reducido</WORD>
<WORD coords="1810,2108,1867,2052,2107">el</WORD>
<WORD coords="1931,2120,2242,2053,2108">problema</WORD>
<WORD coords="2301,2109,2332,2055,2109">á</WORD>
<WORD coords="2395,2127,2769,2051,2109">multiplicar</WORD>
<WORD coords="2826,2113,2903,2076,2112">un</WORD>
<WORD coords="2938,2114,3043,2077,2113">en-</WORD>
</LINE>
<LINE>
<WORD coords="667,2214,805,2165,2213">tero</WORD>
<WORD coords="866,2233,977,2175,2216">por</WORD>
<WORD coords="1031,2215,1113,2177,2214">un</WORD>
<WORD coords="1172,2232,1512,2156,2213">quebrado.</WORD>
<WORD coords="1601,2215,1657,2165,2215">2.</WORD>
<WORD coords="1797,2216,1873,2157,2215">Se</WORD>
<WORD coords="1932,2234,2342,2159,2215">multiplicará</WORD>
<WORD coords="2374,2234,2392,2201,2234">t</WORD>
<WORD coords="2448,2239,2644,2178,2215">según</WORD>
<WORD coords="2697,2238,2868,2164,2216">regla</WORD>
<WORD coords="2903,2230,2918,2207,2228">,</WORD>
<WORD coords="2983,2226,3044,2166,2223">el</WORD>
</LINE>
<LINE>
<WORD coords="663,2323,1048,2264,2320">numerador</WORD>
<WORD coords="1104,2339,1214,2282,2320">por</WORD>
<WORD coords="1266,2322,1321,2266,2321">el</WORD>
<WORD coords="1375,2338,1890,2262,2320">multiplicando;</WORD>
<WORD coords="1954,2324,2079,2280,2322">este</WORD>
<WORD coords="2142,2342,2444,2268,2320">producto</WORD>
<WORD coords="2516,2324,2579,2288,2323">se</WORD>
<WORD coords="2647,2342,2875,2267,2322">partirá</WORD>
<WORD coords="2929,2340,3047,2287,2328">por</WORD>
</LINE>
<LINE>
<WORD coords="666,2429,723,2372,2427">el</WORD>
<WORD coords="780,2428,1232,2370,2426">denominador</WORD>
<WORD coords="1289,2442,1436,2389,2426">para</WORD>
<WORD coords="1495,2427,1666,2390,2426">sacar</WORD>
<WORD coords="1727,2429,1816,2373,2427">los</WORD>
<WORD coords="1870,2429,2114,2386,2428">enteros</WORD>
<WORD coords="2149,2443,2165,2416,2443">,</WORD>
<WORD coords="2197,2449,2386,2393,2428">tuyas</WORD>
<WORD coords="2448,2429,2752,2373,2428">unidades</WORD>
<WORD coords="2809,2430,2917,2394,2429">son</WORD>
<WORD coords="2954,2435,3041,2376,2432">las</WORD>
</LINE>
<LINE>
<WORD coords="664,2535,744,2477,2535">dé</WORD>
<WORD coords="789,2552,1036,2476,2532">especie</WORD>
<WORD coords="1093,2534,1354,2476,2532">inferior</WORD>
<WORD coords="1411,2534,1513,2477,2533">del</WORD>
<WORD coords="1588,2551,2062,2477,2533">multiplicando</WORD>
<WORD coords="2101,2548,2117,2522,2541">,</WORD>
<WORD coords="2166,2534,2256,2480,2533">las</WORD>
<WORD coords="2323,2553,2440,2499,2533">que</WORD>
<WORD coords="2497,2534,2559,2498,2532">se</WORD>
<WORD coords="2611,2538,2937,2482,2536">reducirán</WORD>
<WORD coords="3000,2539,3032,2502,2539">a</WORD>
</LINE>
<LINE>
<WORD coords="668,2641,759,2583,2639">las</WORD>
<WORD coords="819,2640,896,2583,2639">de</WORD>
<WORD coords="958,2658,1202,2603,2638">especie</WORD>
<WORD coords="1256,2657,1578,2583,2638">superior,</WORD>
<WORD coords="1620,2641,1798,2603,2639">como</WORD>
<WORD coords="1848,2641,1910,2605,2640">se</WORD>
<WORD coords="1969,2648,2045,2583,2644">ha</WORD>
<WORD coords="2117,2644,2427,2585,2639">ensenado</WORD>
<WORD coords="2476,2659,2586,2592,2648">(75</WORD>
<WORD coords="2625,2652,2640,2630,2652">,</WORD>
<WORD coords="2694,2656,2868,2588,2644">5.°)</WORD>
<WORD coords="2907,2657,2921,2613,2652">;</WORD>
<WORD coords="2975,2648,3043,2589,2647">Si</WORD>
</LINE>
<LINE>
<WORD coords="666,2747,747,2690,2747">de</WORD>
<WORD coords="797,2746,852,2692,2745">la</WORD>
<WORD coords="896,2745,1167,2689,2744">división</WORD>
<WORD coords="1215,2746,1314,2690,2745">del</WORD>
<WORD coords="1367,2761,1673,2691,2745">producto</WORD>
<WORD coords="1731,2765,1839,2709,2746">por</WORD>
<WORD coords="1895,2746,1949,2693,2746">el</WORD>
<WORD coords="2006,2750,2454,2691,2745">denominador</WORD>
<WORD coords="2522,2767,2640,2691,2746">hay</WORD>
<WORD coords="2698,2765,2911,2704,2746">resta,</WORD>
<WORD coords="2971,2756,3039,2714,2753">se</WORD>
</LINE>
<LINE>
<WORD coords="664,2855,915,2798,2851">valuará</WORD>
<WORD coords="975,2853,1108,2807,2851">esta</WORD>
<WORD coords="1169,2851,1245,2816,2850">en</WORD>
<WORD coords="1305,2853,1613,2796,2851">unidades</WORD>
<WORD coords="1672,2852,1799,2816,2851">mas</WORD>
<WORD coords="1866,2870,2179,2800,2851">pequeñas</WORD>
<WORD coords="2229,2873,2349,2817,2853">que</WORD>
<WORD coords="2419,2853,2485,2816,2852">se</WORD>
<WORD coords="2545,2875,2884,2808,2852">contengan</WORD>
<WORD coords="2957,2861,3054,2820,2859">en.</WORD>
</LINE>
<LINE>
<WORD coords="664,2960,753,2901,2959">las</WORD>
<WORD coords="810,2960,885,2903,2959">de</WORD>
<WORD coords="933,2977,1178,2903,2958">especie</WORD>
<WORD coords="1239,2960,1445,2902,2958">ínfina</WORD>
<WORD coords="1511,2959,1612,2902,2958">del</WORD>
<WORD coords="1672,2966,2165,2902,2956">multiplicando.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="920,3065,1182,3008,3063">Cuando</WORD>
<WORD coords="1232,3064,1285,3008,3063">el</WORD>
<WORD coords="1345,3083,1807,3007,3063">multiplicador</WORD>
<WORD coords="1856,3064,1927,3026,3063">se</WORD>
<WORD coords="1988,3081,2189,3008,3063">pueda</WORD>
<WORD coords="2270,3082,2631,3007,3064">simplificar</WORD>
<WORD coords="2661,3085,2679,3057,3077">,</WORD>
<WORD coords="2740,3070,2805,3033,3069">se</WORD>
<WORD coords="2889,3073,3041,3015,3072">sim-</WORD>
</LINE>
<LINE>
<WORD coords="663,3190,935,3112,3167">plificará</WORD>
<WORD coords="989,3171,1165,3126,3169">antes</WORD>
<WORD coords="1215,3171,1291,3115,3170">de</WORD>
<WORD coords="1344,3179,1620,3117,3171">ejecutar</WORD>
<WORD coords="1681,3172,1734,3118,3170">la</WORD>
<WORD coords="1809,3189,2315,3114,3169">multiplicación.</WORD>
<WORD coords="2408,3173,2472,3118,3172">Si</WORD>
<WORD coords="2528,3172,2581,3119,3171">el</WORD>
<WORD coords="2658,3188,3026,3121,3176">multiplica-</WORD>
</LINE>
<LINE>
<WORD coords="666,3275,785,3217,3273">dor</WORD>
<WORD coords="842,3275,907,3239,3274">se</WORD>
<WORD coords="952,3292,1152,3220,3276">puede</WORD>
<WORD coords="1201,3277,1313,3240,3275">con</WORD>
<WORD coords="1366,3280,1665,3220,3276">facilidad</WORD>
<WORD coords="1716,3279,1964,3223,3276">reducir</WORD>
<WORD coords="2024,3277,2050,3228,3277">á</WORD>
<WORD coords="2102,3281,2364,3223,3277">decimal</WORD>
<WORD coords="2400,3297,2430,3268,3297">r</WORD>
<WORD coords="2451,3282,2629,3244,3278">como</WORD>
<WORD coords="2689,3283,2925,3228,3281">cuando</WORD>
<WORD coords="2973,3285,3035,3228,3283">el</WORD>
</LINE>
<LINE>
<WORD coords="668,3384,1121,3324,3380">denominador</WORD>
<WORD coords="1175,3384,1240,3346,3383">es</WORD>
<WORD coords="1286,3384,1321,3337,3384">2</WORD>
<WORD coords="1357,3394,1373,3371,3389">,</WORD>
<WORD coords="1420,3383,1461,3333,3383">4</WORD>
<WORD coords="1488,3395,1501,3374,3389">,</WORD>
<WORD coords="1561,3382,1595,3337,3383">5</WORD>
<WORD coords="1630,3389,1645,3367,3386">,</WORD>
<WORD coords="1711,3383,1782,3336,3383">25</WORD>
<WORD coords="1821,3396,1837,3372,3396">,</WORD>
<WORD coords="1891,3398,2011,3335,3388">50,</WORD>
<WORD coords="2071,3396,2168,3335,3386">20,</WORD>
<WORD coords="2229,3384,2317,3328,3383">&amp;c</WORD>
<WORD coords="2354,3395,2369,3371,3390">,</WORD>
<WORD coords="2423,3385,2492,3349,3384">se</WORD>
<WORD coords="2542,3383,2615,3330,3382">le-</WORD>
<WORD coords="2639,3391,2922,3331,3388">reducirá</WORD>
<WORD coords="2957,3390,3034,3334,3389">de</WORD>
</LINE>
<LINE>
<WORD coords="661,3485,828,3425,3483">ficto</WORD>
<WORD coords="859,3499,876,3472,3499">,</WORD>
<WORD coords="931,3506,1398,3433,3487">multiplicando</WORD>
<WORD coords="1461,3495,1564,3453,3491">sus</WORD>
<WORD coords="1624,3489,1758,3436,3487">dos.</WORD>
<WORD coords="1791,3490,2113,3433,3487">términos,</WORD>
<WORD coords="2153,3504,2261,3452,3485">por</WORD>
<WORD coords="2333,3506,2518,3434,3486">aquel</WORD>
<WORD coords="2568,3493,2826,3452,3490">numero</WORD>
<WORD coords="2902,3508,3022,3458,3495">que</WORD>
</LINE>
<LINE>
<WORD coords="668,3603,1102,3537,3589">multiplicado</WORD>
<WORD coords="1180,3612,1290,3558,3593">por</WORD>
<WORD coords="1365,3593,1421,3539,3592">el</WORD>
<WORD coords="1475,3598,1930,3539,3593">denominador</WORD>
<WORD coords="1961,3606,1977,3582,3599">,</WORD>
<WORD coords="2037,3593,2093,3539,3592">lo</WORD>
<WORD coords="2156,3596,2478,3538,3593">convierta,</WORD>
<WORD coords="2531,3590,2603,3555,3589">en</WORD>
<WORD coords="2667,3594,2738,3546,3599">10</WORD>
<WORD coords="2763,3609,2777,3585,3598">,</WORD>
<WORD coords="2855,3598,2971,3548,3597">100</WORD>
<WORD coords="3001,3615,3020,3585,3615">f</WORD>
</LINE>
<LINE>
<WORD coords="667,3696,827,3644,3695">1000</WORD>
<WORD coords="859,3697,968,3639,3694">&amp;c.</WORD>
<WORD coords="1007,3702,1024,3664,3702">i</WORD>
<WORD coords="1074,3698,1137,3663,3698">se</WORD>
<WORD coords="1172,3701,1275,3663,3700">mu</WORD>
<WORD coords="1303,3718,1575,3645,3698">tiplicará</WORD>
<WORD coords="1609,3699,1664,3645,3699">el</WORD>
<WORD coords="1696,3704,1897,3664,3700">nuevo</WORD>
<WORD coords="1925,3700,2295,3643,3698">numerador</WORD>
<WORD coords="2329,3716,2438,3662,3698">por</WORD>
<WORD coords="2464,3698,2517,3644,3697">el</WORD>
<WORD coords="2548,3700,2650,3662,3698">mu</WORD>
<WORD coords="2678,3719,3015,3646,3702">ttp!icando</WORD>
<WORD coords="3019,3725,3040,3693,3725">t</WORD>
</LINE>
<LINE>
<WORD coords="664,3823,706,3762,3814">y</WORD>
<WORD coords="766,3802,822,3749,3801">al</WORD>
<WORD coords="870,3818,1172,3747,3802">producto</WORD>
<WORD coords="1232,3805,1295,3769,3804">se</WORD>
<WORD coords="1355,3805,1410,3750,3804">le</WORD>
<WORD coords="1473,3821,1618,3769,3804">sepa</WORD>
<WORD coords="1656,3805,1731,3770,3805">an</WORD>
<WORD coords="1791,3804,1902,3769,3804">con</WORD>
<WORD coords="1961,3804,2015,3751,3804">la</WORD>
<WORD coords="2070,3807,2246,3765,3805">coma</WORD>
<WORD coords="2299,3805,2500,3760,3804">tantos</WORD>
<WORD coords="2559,3823,2903,3752,3806">guarismos</WORD>
<WORD coords="3002,3813,3036,3772,3813">e</WORD>
</LINE>
<LINE>
<WORD coords="660,3908,718,3850,3907">la</WORD>
<WORD coords="758,3911,1024,3849,3908">derecha</WORD>
<WORD coords="1059,3922,1075,3896,3916">,</WORD>
<WORD coords="1130,3911,1308,3872,3908">como</WORD>
<WORD coords="1366,3912,1539,3873,3909">ceros</WORD>
<WORD coords="1599,3930,1780,3867,3910">tenga</WORD>
<WORD coords="1857,3911,1910,3857,3911">el</WORD>
<WORD coords="1975,3911,2444,3856,3910">denominador.</WORD>
<WORD coords="2542,3911,2687,3857,3910">E^te</WORD>
<WORD coords="2752,3932,3037,3858,3912">procedi-</WORD>
</LINE>
<LINE>
<WORD coords="661,4014,898,3957,4012">miento</WORD>
<WORD coords="967,4015,1030,3978,4014">es</WORD>
<WORD coords="1084,4016,1213,3978,4014">mas</WORD>
<WORD coords="1269,4040,1551,3961,4019">elegante</WORD>
<WORD coords="1626,4042,1662,3984,4036">y</WORD>
<WORD coords="1726,4031,1982,3967,4024">sencillo</WORD>
<WORD coords="2017,4039,2038,4008,4039">»</WORD>
<WORD coords="2086,4044,2122,3986,4035">y</WORD>
<WORD coords="2158,4027,2240,3966,4026">da</WORD>
<WORD coords="2287,4026,2345,3967,4024">el</WORD>
<WORD coords="2409,4025,2726,3969,4021">resuit4do</WORD>
<WORD coords="2783,4024,2864,3984,4022">en</WORD>
<WORD coords="2919,4026,3028,3965,4025">de-</WORD>
</LINE>
<LINE>
<WORD coords="656,4123,919,4062,4120">cimales</WORD>
<WORD coords="965,4125,1210,4067,4123">mistos.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0112.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0113.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0113.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1324,648,1542,554,646">103</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="426,808,719,729,787">Ejemplo</WORD>
<WORD coords="778,791,801,738,791">1</WORD>
<WORD coords="921,818,1215,730,792">¿Cuánto)</WORD>
<WORD coords="1371,788,1404,743,791">5</WORD>
<WORD coords="1435,812,1508,746,792">ps</WORD>
<WORD coords="1513,796,1530,769,796">é</WORD>
<WORD coords="1566,792,1599,745,792">2</WORD>
<WORD coords="1637,794,1719,758,792">rs.</WORD>
<WORD coords="1786,800,1895,751,798">555</WORD>
<WORD coords="1933,805,1996,744,803">1%</WORD>
<WORD coords="2032,805,2119,762,799">rs.</WORD>
</LINE>
<LINE>
<WORD coords="254,903,558,838,893">importan</WORD>
<WORD coords="610,894,650,844,896">4</WORD>
<WORD coords="697,896,880,858,893">varas</WORD>
<WORD coords="936,898,971,851,898">2</WORD>
<WORD coords="1029,912,1159,853,895">p/es</WORD>
<WORD coords="1184,913,1201,886,905">,</WORD>
<WORD coords="1373,898,1527,855,898">*vs.</WORD>
<WORD coords="1565,900,1598,852,900">2</WORD>
<WORD coords="1633,905,1756,855,902">tere</WORD>
<WORD coords="1784,890,1787,887,894">■</WORD>
<WORD coords="1803,905,1895,875,905">=</WORD>
<WORD coords="1936,906,2005,856,902">14</WORD>
</LINE>
<LINE>
<WORD coords="254,999,527,944,998">valiendo</WORD>
<WORD coords="561,1001,683,963,1000">una</WORD>
<WORD coords="725,1004,881,965,1001">vara</WORD>
<WORD coords="938,1002,969,955,1002">5</WORD>
<WORD coords="1004,1024,1182,959,1002">pesos</WORD>
<WORD coords="1207,1020,1224,991,1016">,</WORD>
<WORD coords="1935,1012,2036,941,970">~3~</WORD>
</LINE>
<LINE>
<WORD coords="253,1108,292,1056,1106">2</WORD>
<WORD coords="327,1105,560,1049,1104">reales?</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="2527,2285,2603,2246,2284">ue</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2534,2390,2599,2354,2384">2-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="504,1231,674,1157,1213">Aqui</WORD>
<WORD coords="724,1214,779,1159,1213">el</WORD>
<WORD coords="842,1225,1308,1156,1219">multiplicando</WORD>
<WORD coords="1355,1222,1464,1185,1220">son</WORD>
<WORD coords="1521,1224,1556,1175,1224">5</WORD>
<WORD coords="1598,1229,1685,1180,1223">¿rs,</WORD>
<WORD coords="1862,1230,2027,1180,1229">168</WORD>
</LINE>
<LINE>
<WORD coords="248,1317,287,1267,1320">2</WORD>
<WORD coords="334,1318,418,1279,1314">rs.</WORD>
<WORD coords="451,1336,570,1281,1319">que</WORD>
<WORD coords="601,1320,657,1266,1319">lo</WORD>
<WORD coords="704,1325,979,1265,1321">reduzco</WORD>
<WORD coords="1013,1322,1037,1275,1324">á</WORD>
<WORD coords="1090,1325,1129,1275,1325">4</WORD>
<WORD coords="1149,1325,1166,1285,1325">í</WORD>
<WORD coords="1218,1325,1278,1290,1324">rs</WORD>
<WORD coords="1339,1344,1356,1317,1344">,</WORD>
<WORD coords="1411,1344,1528,1296,1330">que</WORD>
<WORD coords="1584,1328,1628,1297,1328">s&lt;</WORD>
<WORD coords="1657,1333,1692,1297,1333">n</WORD>
<WORD coords="1858,1335,1897,1285,1333">4</WORD>
<WORD coords="1930,1334,1963,1289,1334">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="253,1424,358,1385,1422">sus</WORD>
<WORD coords="406,1426,703,1369,1424">unidades</WORD>
<WORD coords="735,1432,1010,1361,1429">infernas:</WORD>
<WORD coords="1050,1434,1318,1379,1431">reduzco</WORD>
<WORD coords="1352,1449,1617,1381,1440">también</WORD>
<WORD coords="1650,1439,1680,1385,1434">á</WORD>
<WORD coords="2021,1436,2178,1422,1436">_</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="246,1530,469,1476,1528">tercias</WORD>
<WORD coords="531,1532,583,1479,1531">el</WORD>
<WORD coords="634,1538,1090,1480,1535">multiolicador</WORD>
<WORD coords="1120,1540,1176,1483,1540">lo</WORD>
<WORD coords="1221,1559,1335,1507,1542">que</WORD>
<WORD coords="1384,1544,1458,1491,1543">da</WORD>
<WORD coords="1503,1546,1572,1497,1546">14</WORD>
<WORD coords="1605,1558,1618,1516,1553">;</WORD>
<WORD coords="1661,1548,1688,1496,1548">á</WORD>
<WORD coords="1862,1548,1896,1501,1548">5</WORD>
<WORD coords="1934,1548,1965,1502,1548">8</WORD>
<WORD coords="2001,1552,2032,1504,1552">8</WORD>
<WORD coords="2074,1576,2084,1497,1564">¡</WORD>
<WORD coords="2124,1552,2155,1505,1552">3</WORD>
</LINE>
<LINE>
<WORD coords="251,1634,380,1591,1633">e?te</WORD>
<WORD coords="429,1637,686,1600,1636">numero</WORD>
<WORD coords="751,1659,948,1605,1637">pongo</WORD>
<WORD coords="1012,1659,1119,1607,1640">por</WORD>
<WORD coords="1161,1651,1602,1590,1647">denominador</WORD>
<WORD coords="1640,1663,1696,1603,1656">3,</WORD>
<WORD coords="1864,1654,1897,1609,1654">2</WORD>
<WORD coords="1931,1658,1964,1608,1653">8</WORD>
<WORD coords="2090,1598,2117,1588,1639">&quot;</WORD>
<WORD coords="2139,1660,2237,1589,1644">1~9</WORD>
<WORD coords="2268,1668,2571,1589,1665">6**r7~~r</WORD>
</LINE>
<LINE>
<WORD coords="248,1758,483,1699,1739">porque</WORD>
<WORD coords="515,1741,565,1688,1740">la</WORD>
<WORD coords="594,1745,782,1693,1743">tercia</WORD>
<WORD coords="829,1748,972,1696,1747">cabe</WORD>
<WORD coords="1007,1749,1038,1700,1751">3</WORD>
<WORD coords="1071,1753,1247,1715,1750">vt-ces</WORD>
<WORD coords="1280,1756,1352,1719,1755">en</WORD>
<WORD coords="1389,1754,1438,1699,1754">h</WORD>
<WORD coords="1487,1761,1720,1701,1758">unidad</WORD>
<WORD coords="1936,1763,1958,1716,1763">1</WORD>
<WORD coords="1998,1764,2031,1717,1764">8</WORD>
<WORD coords="2213,1767,2292,1719,1764">24</WORD>
<WORD coords="2328,1772,2410,1736,1770">vs.</WORD>
<WORD coords="2445,1775,2483,1729,1775">4</WORD>
<WORD coords="2558,1786,2607,1742,1780">?,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="249,1859,534,1793,1847">superior</WORD>
<WORD coords="587,1850,684,1794,1848">del</WORD>
<WORD coords="738,1873,1194,1778,1854">multiplicador</WORD>
<WORD coords="1241,1877,1354,1823,1857">que</WORD>
<WORD coords="1394,1860,1455,1826,1859">es</WORD>
<WORD coords="1490,1860,1542,1808,1859">la</WORD>
<WORD coords="1607,1867,1746,1827,1863">vara</WORD>
<WORD coords="1780,1868,1800,1830,1868">;</WORD>
<WORD coords="1826,1892,2010,1821,1867">tengo</WORD>
<WORD coords="2068,1882,2213,1835,1870">pues</WORD>
<WORD coords="2275,1889,2390,1841,1876">que</WORD>
<WORD coords="2452,1887,2604,1827,1884">muí-</WORD>
</LINE>
<LINE>
<WORD coords="250,1973,495,1896,1953">tiplicar</WORD>
<WORD coords="552,1958,607,1904,1957">el</WORD>
<WORD coords="667,1960,879,1916,1959">entero</WORD>
<WORD coords="936,1961,1013,1913,1964">42</WORD>
<WORD coords="1065,1962,1146,1925,1961">rs.</WORD>
<WORD coords="1187,1982,1294,1928,1963">por</WORD>
<WORD coords="1367,1980,1483,1916,1976">W&gt;</WORD>
<WORD coords="1515,1985,1634,1932,1970">que</WORD>
<WORD coords="1642,1993,1918,1919,1974">-ejecuto</WORD>
<WORD coords="1977,1999,2157,1926,1987">(121)</WORD>
<WORD coords="2194,2004,2603,1931,1983">multiplican,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1352,2070,1464,1996,2069">IT</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="252,2141,334,2084,2140">do</WORD>
<WORD coords="387,2142,465,2089,2146">42</WORD>
<WORD coords="521,2161,630,2106,2143">por</WORD>
<WORD coords="693,2160,806,2094,2153">14,</WORD>
<WORD coords="854,2148,912,2093,2147">lo</WORD>
<WORD coords="956,2166,1073,2114,2150">que</WORD>
<WORD coords="1135,2151,1211,2093,2150">da</WORD>
<WORD coords="1265,2153,1399,2104,2153">588?</WORD>
<WORD coords="1442,2154,1469,2118,2154">a</WORD>
<WORD coords="1528,2179,1766,2102,2156">quien,</WORD>
<WORD coords="1827,2159,1899,2125,2159">en</WORD>
<WORD coords="1953,2165,2068,2127,2162">vez</WORD>
<WORD coords="2119,2166,2196,2108,2165">de</WORD>
<WORD coords="2244,2179,2486,2117,2168">ponerle</WORD>
<WORD coords="2546,2176,2602,2120,2176">el</WORD>
</LINE>
<LINE>
<WORD coords="264,2252,714,2192,2249">denominador</WORD>
<WORD coords="745,2253,776,2204,2257">3</WORD>
<WORD coords="811,2268,827,2243,2265">,</WORD>
<WORD coords="880,2254,933,2202,2253">le</WORD>
<WORD coords="978,2257,1193,2202,2256">divido</WORD>
<WORD coords="1252,2274,1364,2223,2257">por</WORD>
<WORD coords="1413,2262,1540,2218,2260">este</WORD>
<WORD coords="1598,2281,1737,2228,2262">para</WORD>
<WORD coords="1801,2269,1972,2231,2266">sacar</WORD>
<WORD coords="2024,2270,2112,2216,2269">los</WORD>
<WORD coords="2189,2277,2430,2231,2273">entero*</WORD>
</LINE>
<LINE>
<WORD coords="261,2370,403,2299,2353">aqui</WORD>
<WORD coords="464,2354,573,2318,2353">son</WORD>
<WORD coords="649,2358,741,2304,2356">los</WORD>
<WORD coords="791,2362,1007,2306,2359">reales,</WORD>
<WORD coords="1103,2363,1177,2307,2362">El</WORD>
<WORD coords="1253,2368,1529,2309,2365">cociente</WORD>
<WORD coords="1589,2368,1653,2335,2368">es</WORD>
<WORD coords="1717,2371,1829,2320,2370">196</WORD>
<WORD coords="1891,2375,2080,2330,2372">reales</WORD>
<WORD coords="2194,2395,2310,2344,2380">que</WORD>
<WORD coords="2372,2381,2396,2348,2381">r</WORD>
<WORD coords="2408,2386,2478,2331,2386">-d</WORD>
<WORD coords="2512,2391,2560,2380,2388">...</WORD>
</LINE>
<LINE>
<WORD coords="255,2459,328,2421,2458">co</WORD>
<WORD coords="380,2458,409,2406,2466">á</WORD>
<WORD coords="469,2477,698,2424,2460">pesos,</WORD>
<WORD coords="744,2469,1112,2407,2466">dividiendo</WORD>
<WORD coords="1180,2490,1293,2433,2470">por</WORD>
<WORD coords="1343,2490,1429,2423,2484">8,</WORD>
<WORD coords="1479,2497,1520,2438,2497">y</WORD>
<WORD coords="1573,2500,1839,2422,2477">obtengo</WORD>
<WORD coords="1898,2480,1953,2426,2480">el</WORD>
<WORD coords="2014,2502,2317,2430,2484">producto</WORD>
<WORD coords="2369,2492,2448,2443,2491">24</WORD>
<WORD coords="2489,2515,2579,2450,2494">pe-</WORD>
</LINE>
<LINE>
<WORD coords="252,2567,349,2526,2566">sos</WORD>
<WORD coords="381,2579,396,2554,2574">,</WORD>
<WORD coords="429,2567,469,2517,2568">4</WORD>
<WORD coords="527,2574,740,2515,2568">reales,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="503,2697,789,2618,2675">Kjemplo</WORD>
<WORD coords="849,2680,968,2627,2678">2.°</WORD>
<WORD coords="1037,2708,1318,2626,2684">¿Cuanto</WORD>
<WORD coords="1373,2711,1677,2635,2689">importan</WORD>
<WORD coords="1744,2693,1774,2643,2693">i</WORD>
<WORD coords="1831,2713,2104,2638,2693">arroba,</WORD>
<WORD coords="2152,2701,2185,2646,2701">7</WORD>
<WORD coords="2250,2720,2489,2645,2700">libra?,</WORD>
<WORD coords="2533,2707,2605,2650,2706">de</WORD>
</LINE>
<LINE>
<WORD coords="252,2780,426,2739,2779">€úcao</WORD>
<WORD coords="465,2795,482,2768,2792">,</WORD>
<WORD coords="536,2781,580,2746,2781">a.</WORD>
<WORD coords="645,2781,678,2734,2785">3</WORD>
<WORD coords="719,2805,896,2740,2784">pesos</WORD>
<WORD coords="930,2801,946,2775,2795">,</WORD>
<WORD coords="1005,2787,1042,2738,2788">6</WORD>
<WORD coords="1104,2791,1189,2754,2788">rs.</WORD>
<WORD coords="1244,2811,1284,2754,2802">y</WORD>
<WORD coords="1337,2793,1360,2749,2793">l</WORD>
<WORD coords="1422,2797,1609,2742,2794">medio</WORD>
<WORD coords="1663,2799,1721,2748,2798">la</WORD>
<WORD coords="1763,2802,2026,2745,2800">arroba?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="499,2892,808,2831,2888">Reduciré</WORD>
<WORD coords="867,2895,1012,2857,2894">ante</WORD>
<WORD coords="1051,2897,1214,2843,2896">todo-</WORD>
<WORD coords="1255,2899,1325,2848,2899">el-</WORD>
<WORD coords="1379,2921,1851,2849,2904">multiplicando</WORD>
<WORD coords="1909,2911,1939,2855,2911">á</WORD>
<WORD coords="1995,2912,2065,2859,2911">61</WORD>
<WORD coords="2131,2920,2368,2859,2914">medios</WORD>
<WORD coords="2421,2926,2458,2882,2923">y</WORD>
<WORD coords="2536,2920,2594,2865,2920">el</WORD>
</LINE>
<LINE>
<WORD coords="243,3009,712,2935,2992">multiplicador</WORD>
<WORD coords="756,2997,783,2961,2997">a</WORD>
<WORD coords="805,3043,944,2948,3023">£2^,</WORD>
<WORD coords="1028,3022,1070,2965,3022">y</WORD>
<WORD coords="1122,3028,1531,2950,3007">multiplicaré</WORD>
<WORD coords="1592,3015,1715,2975,3014">uno</WORD>
<WORD coords="1781,3032,1891,2976,3015">por</WORD>
<WORD coords="1946,3034,2114,2974,3018">otro;</WORD>
<WORD coords="2152,3037,2293,2988,3023">pero</WORD>
<WORD coords="2340,3034,2611,2971,3028">observo</WORD>
</LINE>
<LINE>
<WORD coords="825,3106,902,3057,3105">25</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="242,3195,361,3141,3177">que</WORD>
<WORD coords="418,3196,885,3123,3182">multiplicando</WORD>
<WORD coords="945,3193,1001,3136,3191">el</WORD>
<WORD coords="1050,3198,1498,3136,3194">denominador</WORD>
<WORD coords="1541,3197,1618,3149,3197">25</WORD>
<WORD coords="1682,3201,1789,3163,3198">por</WORD>
<WORD coords="1837,3202,1879,3150,3202">4</WORD>
<WORD coords="1913,3217,1929,3193,3211">,</WORD>
<WORD coords="1989,3206,2053,3171,3205">se</WORD>
<WORD coords="2114,3216,2459,3161,3212">convertirá</WORD>
<WORD coords="2525,3224,2600,3187,3223">en</WORD>
</LINE>
<LINE>
<WORD coords="245,3294,398,3232,3289">100,</WORD>
<WORD coords="443,3306,486,3248,3306">y</WORD>
<WORD coords="547,3306,688,3251,3288">para</WORD>
<WORD coords="744,3292,822,3255,3292">no</WORD>
<WORD coords="870,3297,1094,3242,3294">alterar</WORD>
<WORD coords="1159,3298,1213,3246,3298">el</WORD>
<WORD coords="1266,3320,1578,3248,3302">quebrado</WORD>
<WORD coords="1605,3319,1618,3294,3313">,</WORD>
<WORD coords="1652,3307,1797,3248,3304">haré</WORD>
<WORD coords="1861,3310,1917,3256,3309">lo</WORD>
<WORD coords="1977,3314,2198,3258,3313">mismo</WORD>
<WORD coords="2255,3320,2363,3283,3319">con</WORD>
<WORD coords="2406,3326,2453,3272,3325">el</WORD>
<WORD coords="2493,3330,2601,3294,3327">mj.</WORD>
</LINE>
<LINE>
<WORD coords="245,3392,534,3337,3389">merador</WORD>
<WORD coords="582,3396,656,3345,3400">32</WORD>
<WORD coords="694,3410,710,3384,3410">,</WORD>
<WORD coords="795,3398,851,3342,3397">lo</WORD>
<WORD coords="908,3417,1026,3367,3403">que</WORD>
<WORD coords="1086,3407,1230,3349,3404">dará</WORD>
<WORD coords="1299,3411,1434,3359,3408">128.</WORD>
<WORD coords="1532,3430,1894,3354,3412">Mutiplieo</WORD>
<WORD coords="1957,3420,2140,3362,3418">-ahora</WORD>
<WORD coords="2203,3425,2255,3372,3424">el</WORD>
<WORD coords="2318,3430,2431,3379,3429">128</WORD>
<WORD coords="2495,3451,2603,3399,3436">por</WORD>
</LINE>
<LINE>
<WORD coords="238,3495,309,3441,3502">61</WORD>
<WORD coords="350,3509,364,3486,3514">,</WORD>
<WORD coords="416,3497,475,3443,3497">lo</WORD>
<WORD coords="536,3518,653,3466,3503">que</WORD>
<WORD coords="704,3506,780,3448,3505">da</WORD>
<WORD coords="831,3510,986,3453,3510">7808</WORD>
<WORD coords="1042,3513,1279,3458,3512">medios</WORD>
<WORD coords="1303,3533,1319,3482,3526">;</WORD>
<WORD coords="1380,3515,1455,3461,3515">de</WORD>
<WORD coords="1516,3519,1640,3475,3516">este</WORD>
<WORD coords="1702,3539,2003,3469,3522">producto</WORD>
<WORD coords="2063,3542,2276,3493,3528">separo</WORD>
<WORD coords="2311,3536,2339,3483,3536">á</WORD>
<WORD coords="2404,3542,2452,3487,3537">¡á</WORD>
<WORD coords="2486,3541,2589,3455,3541">dV</WORD>
</LINE>
<LINE>
<WORD coords="239,3604,321,3566,3604">re,</WORD>
<WORD coords="345,3609,428,3549,3608">ha</WORD>
<WORD coords="488,3611,602,3555,3610">dos</WORD>
<WORD coords="652,3634,1004,3566,3617">guarismos</WORD>
<WORD coords="1036,3634,1051,3610,3634">,</WORD>
<WORD coords="1114,3641,1346,3585,3621">porque</WORD>
<WORD coords="1411,3624,1574,3570,3623">tenia</WORD>
<WORD coords="1634,3645,1750,3593,3629">que</WORD>
<WORD coords="1807,3636,2110,3577,3631">dividirse</WORD>
<WORD coords="2164,3640,2277,3602,3637">ñor</WORD>
<WORD coords="2335,3664,2497,3595,3643">ICO,</WORD>
<WORD coords="2557,3669,2597,3615,3669">y</WORD>
</LINE>
<LINE>
<WORD coords="239,3715,374,3677,3714">sera</WORD>
<WORD coords="436,3717,491,3663,3717">el</WORD>
<WORD coords="546,3736,848,3667,3721">producto</WORD>
<WORD coords="908,3740,1136,3672,3727">pedido</WORD>
<WORD coords="1198,3739,1314,3680,3733">78,</WORD>
<WORD coords="1372,3730,1449,3683,3730">08</WORD>
<WORD coords="1516,3736,1857,3679,3733">medios=z</WORD>
<WORD coords="1916,3740,1953,3691,3740">4</WORD>
<WORD coords="1979,3760,2115,3696,3739">pes.</WORD>
<WORD coords="2182,3744,2215,3694,3744">7</WORD>
<WORD coords="2263,3747,2344,3711,3744">rs.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="488,3847,776,3769,3825">Ejemplo</WORD>
<WORD coords="836,3830,889,3779,3832">3.</WORD>
<WORD coords="919,3814,955,3777,3814">o</WORD>
<WORD coords="1065,3860,1343,3780,3835">¿Cuanto</WORD>
<WORD coords="1397,3856,1610,3802,3838">ganan</WORD>
<WORD coords="1668,3842,1826,3790,3841">9723</WORD>
<WORD coords="1870,3866,2047,3804,3845">pesos</WORD>
<WORD coords="2105,3849,2166,3796,3848">al</WORD>
<WORD coords="2210,3851,2326,3814,3850">ano</WORD>
<WORD coords="2366,3857,2379,3839,3855">,</WORD>
<WORD coords="2437,3854,2506,3819,3853">en</WORD>
<WORD coords="2538,3862,2596,3809,3858">el</WORD>
</LINE>
<LINE>
<WORD coords="234,3931,517,3886,3928">¿utAiesto</WORD>
<WORD coords="575,3934,642,3879,3933">de</WORD>
<WORD coords="686,3958,798,3898,3934">que</WORD>
<WORD coords="847,3957,967,3892,3936">por</WORD>
<WORD coords="1019,3941,1168,3886,3939">cada</WORD>
<WORD coords="1219,3943,1333,3895,3943">100</WORD>
<WORD coords="1363,3943,1426,3909,3943">se</WORD>
<WORD coords="1479,3951,1673,3893,3948">hande</WORD>
<WORD coords="1729,3952,1841,3896,3950">dar</WORD>
<WORD coords="1913,3956,1984,3902,3956">de</WORD>
<WORD coords="2026,3976,2385,3907,3955">ganancia,</WORD>
<WORD coords="2431,3956,2459,3920,3956">o</WORD>
<WORD coords="2495,3957,2585,3905,3956">in-</WORD>
</LINE>
<LINE>
<WORD coords="234,4037,393,3984,4031">terés</WORD>
<WORD coords="447,4037,483,3990,4039">4</WORD>
<WORD coords="528,4057,704,3995,4039">pesos</WORD>
<WORD coords="733,4055,749,4029,4048">,</WORD>
<WORD coords="783,4041,817,3996,4041">2</WORD>
<WORD coords="871,4044,1060,3992,4042">reales</WORD>
<WORD coords="1111,4064,1150,4010,4056">y</WORD>
<WORD coords="1210,4049,1437,3993,4047">medio?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="340,4142,494,4085,4139">Para</WORD>
<WORD coords="520,4149,795,4092,4145">resolver</WORD>
<WORD coords="828,4152,883,4093,4149">la</WORD>
<WORD coords="916,4154,1191,4110,4151">cuestión</WORD>
<WORD coords="1220,4171,1238,4141,4166">,</WORD>
<WORD coords="1270,4161,1548,4120,4158">veremos</WORD>
<WORD coords="1586,4182,1854,4105,4163">primero</WORD>
<WORD coords="1888,4168,2140,4123,4167">cuantos</WORD>
<WORD coords="2194,4169,2425,4111,4167">cientos</WORD>
<WORD coords="2459,4188,2579,4129,4168">rwy</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0113.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0114.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0114.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1746,589,1963,494,586">104</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="655,683,732,642,682">en</WORD>
<WORD coords="795,701,998,630,692">9728;</WORD>
<WORD coords="1053,690,1185,632,689">dio</WORD>
<WORD coords="1235,712,1354,654,694">que</WORD>
<WORD coords="1413,696,1482,657,696">es</WORD>
<WORD coords="1537,697,1597,640,697">lo</WORD>
<WORD coords="1652,722,1927,644,701">mismo,</WORD>
<WORD coords="1980,717,2344,651,712">deberemos</WORD>
<WORD coords="2408,736,2601,665,721">partir</WORD>
<WORD coords="2657,731,2839,669,727">dicha</WORD>
<WORD coords="2875,737,3014,693,734">can»</WORD>
</LINE>
<LINE>
<WORD coords="654,791,832,734,788">tidad</WORD>
<WORD coords="888,814,999,757,794">por</WORD>
<WORD coords="1053,810,1206,747,802">100,</WORD>
<WORD coords="1257,819,1304,763,816">y</WORD>
<WORD coords="1346,803,1401,749,801">e!</WORD>
<WORD coords="1450,809,1725,748,805">cociente</WORD>
<WORD coords="1793,828,2170,759,814">multiplicar</WORD>
<WORD coords="2230,841,2341,786,821">por</WORD>
<WORD coords="2399,826,2452,772,825">el</WORD>
<WORD coords="2510,833,2743,772,830">inreres</WORD>
<WORD coords="2807,836,2850,785,836">4</WORD>
<WORD coords="2911,852,3015,800,842">pe-</WORD>
</LINE>
<LINE>
<WORD coords="652,895,755,856,894">sos</WORD>
<WORD coords="779,914,860,852,911">,2</WORD>
<WORD coords="934,903,1129,845,901">reates</WORD>
<WORD coords="1179,925,1218,869,922">y</WORD>
<WORD coords="1264,906,1296,858,912">1</WORD>
<WORD coords="1365,924,1622,853,908">medio,</WORD>
<WORD coords="1673,913,1709,860,916">ó</WORD>
<WORD coords="1768,935,1877,880,917">por</WORD>
<WORD coords="1930,920,2010,868,919">69</WORD>
<WORD coords="2072,930,2339,871,925">medios.</WORD>
<WORD coords="2440,934,2586,874,932">Para</WORD>
<WORD coords="2663,958,2852,884,939">partir</WORD>
<WORD coords="2903,961,3017,906,943">por</WORD>
</LINE>
<LINE>
<WORD coords="658,1003,778,952,1008">100</WORD>
<WORD coords="837,1007,917,970,1005">un</WORD>
<WORD coords="995,1010,1253,971,1008">numero</WORD>
<WORD coords="1287,1027,1304,1001,1026">,</WORD>
<WORD coords="1365,1016,1530,958,1014">basta</WORD>
<WORD coords="1587,1021,1796,981,1018">correr</WORD>
<WORD coords="1853,1025,1907,969,1024">la</WORD>
<WORD coords="1968,1029,2141,990,1027">coma</WORD>
<WORD coords="2201,1032,2315,976,1030">dos</WORD>
<WORD coords="2393,1059,2637,981,1039">lugares</WORD>
<WORD coords="2719,1048,2851,992,1046">acia</WORD>
<WORD coords="2909,1051,3009,986,1049">iz-</WORD>
</LINE>
<LINE>
<WORD coords="650,1128,908,1053,1109">quierda</WORD>
<WORD coords="935,1129,954,1081,1129">;</WORD>
<WORD coords="1013,1135,1193,1058,1113">luego</WORD>
<WORD coords="1268,1126,1632,1064,1122">tendremos</WORD>
<WORD coords="1704,1128,1760,1070,1128">el</WORD>
<WORD coords="1836,1137,2112,1076,1133">cociente</WORD>
<WORD coords="2188,1139,2270,1083,1137">97</WORD>
<WORD coords="2300,1157,2317,1129,1149">,</WORD>
<WORD coords="2349,1141,2425,1093,1141">28</WORD>
<WORD coords="2478,1163,2548,1094,1163">X</WORD>
<WORD coords="2726,1154,2862,1098,1151">rned</WORD>
<WORD coords="2902,1156,3026,1085,1153">sao?</WORD>
</LINE>
<LINE>
<WORD coords="645,1217,808,1161,1216">6ri2</WORD>
<WORD coords="816,1233,830,1204,1233">s</WORD>
<WORD coords="839,1218,913,1167,1224">32</WORD>
<WORD coords="976,1222,1197,1165,1220">medies</WORD>
<WORD coords="1229,1239,1244,1214,1239">,</WORD>
<WORD coords="1275,1243,1393,1190,1226">que</WORD>
<WORD coords="1448,1228,1556,1192,1227">son</WORD>
<WORD coords="1611,1236,1734,1180,1235">419</WORD>
<WORD coords="1778,1258,1959,1188,1236">pesos</WORD>
<WORD coords="1995,1253,2009,1227,1247">,</WORD>
<WORD coords="2039,1242,2079,1190,1242">4</WORD>
<WORD coords="2142,1247,2334,1188,1243">reales</WORD>
<WORD coords="2380,1269,2424,1212,1265">1/</WORD>
<WORD coords="2467,1264,2681,1201,1251">0,1-6</WORD>
<WORD coords="2739,1257,2816,1202,1257">de</WORD>
<WORD coords="2857,1266,3007,1207,1260">reaí.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="899,1348,1167,1269,1326">Ejemplo</WORD>
<WORD coords="1230,1332,1290,1280,1337">4.</WORD>
<WORD coords="1318,1313,1353,1277,1330">°</WORD>
<WORD coords="1436,1337,1541,1278,1336">Un</WORD>
<WORD coords="1605,1343,1849,1294,1340">terreno</WORD>
<WORD coords="1886,1358,1902,1333,1358">,</WORD>
<WORD coords="1955,1368,2108,1310,1347">cuya</WORD>
<WORD coords="2167,1374,2360,1294,1352">figura</WORD>
<WORD coords="2406,1357,2472,1321,1356">es</WORD>
<WORD coords="2528,1359,2611,1323,1358">un</WORD>
<WORD coords="2671,1385,2993,1309,1364">rectángu-</WORD>
</LINE>
<LINE>
<WORD coords="637,1430,698,1372,1430">lo</WORD>
<WORD coords="736,1432,915,1394,1430">como</WORD>
<WORD coords="964,1433,1014,1383,1432">la</WORD>
<WORD coords="1070,1438,1142,1383,1437">de</WORD>
<WORD coords="1195,1440,1271,1402,1439">un</WORD>
<WORD coords="1332,1444,1537,1389,1442">medio</WORD>
<WORD coords="1594,1470,1797,1391,1446">pliego</WORD>
<WORD coords="1845,1452,1921,1397,1452">de</WORD>
<WORD coords="1980,1472,2191,1402,1456">papel,</WORD>
<WORD coords="2223,1463,2388,1405,1460">tiene</WORD>
<WORD coords="2438,1483,2549,1427,1464">por</WORD>
<WORD coords="2604,1489,2882,1411,1467">longitud</WORD>
<WORD coords="2917,1473,3000,1420,1471">35</WORD>
</LINE>
<LINE>
<WORD coords="635,1538,815,1499,1536">varas</WORD>
<WORD coords="871,1539,906,1493,1548">2</WORD>
<WORD coords="952,1560,1220,1488,1541">tercias,</WORD>
<WORD coords="1276,1566,1315,1510,1565">y</WORD>
<WORD coords="1362,1564,1470,1512,1546">por</WORD>
<WORD coords="1513,1556,1732,1496,1553">latitud</WORD>
<WORD coords="1797,1557,1867,1508,1557">12</WORD>
<WORD coords="1928,1562,2105,1522,1559">varas</WORD>
<WORD coords="2165,1564,2190,1516,1564">1</WORD>
<WORD coords="2252,1575,2509,1525,1567">cuarta:</WORD>
<WORD coords="2588,1573,2660,1515,1572">Se</WORD>
<WORD coords="2691,1587,2692,1585,1587">.</WORD>
<WORD coords="2723,1598,2990,1536,1576">preguo-</WORD>
</LINE>
<LINE>
<WORD coords="630,1657,743,1598,1643">ta,</WORD>
<WORD coords="783,1668,1081,1605,1646">¿cuantas</WORD>
<WORD coords="1131,1654,1307,1616,1651">varas</WORD>
<WORD coords="1350,1662,1694,1603,1657">cuadradas</WORD>
<WORD coords="1745,1665,1910,1608,1664">tiene</WORD>
<WORD coords="1942,1671,2017,1612,1669">de</WORD>
<WORD coords="2073,1688,2450,1617,1672">superficie?</WORD>
</LINE>
<LINE>
<WORD coords="631,1751,733,1692,1750">En</WORD>
<WORD coords="776,1753,902,1709,1751">esta</WORD>
<WORD coords="942,1759,1217,1702,1756">cuestión</WORD>
<WORD coords="1265,1762,1331,1724,1761">es</WORD>
<WORD coords="1367,1768,1730,1708,1764">indiferente</WORD>
<WORD coords="1763,1772,1963,1724,1769">tomar</WORD>
<WORD coords="1997,1791,2104,1737,1774">por</WORD>
<WORD coords="2137,1801,2602,1725,1781">multiplicando</WORD>
<WORD coords="2634,1804,2992,1731,1788">cualquier*</WORD>
</LINE>
<LINE>
<WORD coords="627,1856,708,1801,1856">de</WORD>
<WORD coords="748,1855,781,1808,1855">h</WORD>
<WORD coords="810,1858,834,1824,1858">s</WORD>
<WORD coords="867,1862,1132,1802,1859">factores</WORD>
<WORD coords="1166,1881,1184,1852,1881">,</WORD>
<WORD coords="1219,1886,1452,1828,1866">porque</WORD>
<WORD coords="1485,1874,1699,1816,1871">ambos</WORD>
<WORD coords="1730,1877,1837,1840,1875">son</WORD>
<WORD coords="1869,1879,1944,1823,1878">de</WORD>
<WORD coords="1978,1882,2095,1845,1881">una</WORD>
<WORD coords="2128,1887,2343,1829,1884">misma</WORD>
<WORD coords="2389,1905,2629,1839,1890">especie</WORD>
<WORD coords="2657,1894,2669,1859,1894">:</WORD>
<WORD coords="2706,1895,2771,1839,1895">Si</WORD>
<WORD coords="2807,1902,2981,1853,1899">tomo</WORD>
</LINE>
<LINE>
<WORD coords="634,1987,753,1929,1962">por</WORD>
<WORD coords="799,1967,850,1928,1967">iy¡</WORD>
<WORD coords="867,1966,898,1930,1966">i)</WORD>
<WORD coords="931,1966,976,1912,1966">ti</WORD>
<WORD coords="990,1985,1271,1911,1968">piteando</WORD>
<WORD coords="1301,1972,1355,1918,1972">el</WORD>
<WORD coords="1393,1974,1465,1923,1977">35</WORD>
<WORD coords="1499,1978,1673,1940,1976">varas</WORD>
<WORD coords="1711,1989,1725,1968,1986">,</WORD>
<WORD coords="1754,1981,1789,1934,1982">2</WORD>
<WORD coords="1822,1986,2042,1931,1983">tercias</WORD>
<WORD coords="2068,2004,2083,1975,1996">,</WORD>
<WORD coords="2121,1988,2177,1932,1987">lo</WORD>
<WORD coords="2212,1997,2495,1937,1991">reduciré</WORD>
<WORD coords="2524,1997,2549,1946,1997">á</WORD>
<WORD coords="2591,2000,2705,1950,1998">107</WORD>
<WORD coords="2730,2013,2976,1947,2003">tercias,</WORD>
</LINE>
<LINE>
<WORD coords="621,2094,665,2034,2093">y</WORD>
<WORD coords="712,2073,768,2019,2072">el</WORD>
<WORD coords="851,2093,1310,2018,2073">multiplicador</WORD>
<WORD coords="1390,2079,1420,2025,2085">á</WORD>
<WORD coords="1490,2084,1570,2031,2086">49</WORD>
<WORD coords="1599,2106,1643,2047,2106">y</WORD>
<WORD coords="1677,2106,2009,2035,2089">procederé</WORD>
<WORD coords="2054,2118,2247,2056,2094">según</WORD>
<WORD coords="2291,2122,2482,2045,2098">regla.</WORD>
<WORD coords="2574,2106,2733,2049,2105">Pero</WORD>
<WORD coords="2777,2109,2850,2070,2108">en</WORD>
<WORD coords="2881,2111,2981,2073,2110">es-</WORD>
</LINE>
<LINE>
<WORD coords="1492,2194,1543,2140,2194">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="616,2263,678,2217,2261">te</WORD>
<WORD coords="729,2284,769,2226,2283">y</WORD>
<WORD coords="811,2264,978,2218,2262">otros</WORD>
<WORD coords="1029,2266,1202,2228,2264">casos</WORD>
<WORD coords="1258,2269,1333,2212,2269">de</WORD>
<WORD coords="1389,2275,1698,2218,2272">medición</WORD>
<WORD coords="1757,2280,1833,2222,2279">de</WORD>
<WORD coords="1897,2286,2115,2226,2283">tierras</WORD>
<WORD coords="2145,2303,2161,2276,2303">,</WORD>
<WORD coords="2221,2310,2419,2232,2288">mejor</WORD>
<WORD coords="2467,2291,2531,2254,2290">es</WORD>
<WORD coords="2586,2312,2978,2252,2296">representar</WORD>
</LINE>
<LINE>
<WORD coords="617,2368,711,2311,2366">los</WORD>
<WORD coords="772,2375,1220,2315,2370">denominados</WORD>
<WORD coords="1283,2376,1356,2340,2375">en</WORD>
<WORD coords="1415,2398,1762,2325,2381">quebrados</WORD>
<WORD coords="1818,2393,2154,2332,2389">abstractos</WORD>
<WORD coords="2208,2412,2247,2358,2412">y</WORD>
<WORD coords="2312,2418,2586,2339,2396">ejecutar</WORD>
<WORD coords="2645,2399,2698,2345,2398">la</WORD>
<WORD coords="2759,2405,2971,2348,2402">multi-</WORD>
</LINE>
<LINE>
<WORD coords="614,2494,955,2417,2472">plicación;</WORD>
<WORD coords="1000,2478,1085,2422,2477">asi</WORD>
<WORD coords="1133,2482,1208,2444,2481">en</WORD>
<WORD coords="1257,2487,1510,2442,2484">nuestro</WORD>
<WORD coords="1570,2489,1712,2450,2487">caso</WORD>
<WORD coords="1769,2494,1905,2455,2492">sera</WORD>
<WORD coords="1956,2498,2066,2447,2497">107</WORD>
<WORD coords="2101,2520,2169,2449,2520">X</WORD>
<WORD coords="2216,2501,2295,2450,2501">49</WORD>
<WORD coords="2341,2524,2507,2447,2503">igual</WORD>
<WORD coords="2537,2506,2566,2456,2506">á</WORD>
<WORD coords="2602,2509,2725,2456,2507">436</WORD>
<WORD coords="2784,2515,2966,2472,2511">vara»</WORD>
</LINE>
<LINE>
<WORD coords="608,2612,1065,2527,2584">cuadradas-}-</WORD>
<WORD coords="1128,2588,1193,2539,2589">11</WORD>
<WORD coords="1255,2592,1335,2534,2591">de</WORD>
<WORD coords="1395,2596,1540,2555,2594">vara</WORD>
<WORD coords="1575,2602,1906,2541,2599">cuadrada.</WORD>
<WORD coords="1943,2604,2056,2526,2604">IT</WORD>
<WORD coords="2190,2609,2303,2528,2608">IT</WORD>
</LINE>
<LINE>
<WORD coords="1090,2701,1206,2616,2700">li*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="855,2788,1349,2724,2782">Demostración.</WORD>
<WORD coords="1446,2792,1827,2728,2789">Reducimos</WORD>
<WORD coords="1895,2796,1951,2739,2795">ei</WORD>
<WORD coords="2020,2818,2489,2743,2802">multiplicando</WORD>
<WORD coords="2549,2808,2577,2754,2808">á</WORD>
<WORD coords="2632,2809,2688,2753,2809">la</WORD>
<WORD coords="2746,2813,2965,2771,2810">menor</WORD>
</LINE>
<LINE>
<WORD coords="601,2887,681,2829,2886">de</WORD>
<WORD coords="741,2889,843,2851,2887">sus</WORD>
<WORD coords="898,2906,1175,2835,2888">especies</WORD>
<WORD coords="1210,2903,1227,2878,2902">,</WORD>
<WORD coords="1274,2890,1311,2856,2890">v</WORD>
<WORD coords="1393,2914,1451,2857,2902">g.</WORD>
<WORD coords="1515,2894,1588,2857,2894">en</WORD>
<WORD coords="1665,2897,1721,2844,2897">el</WORD>
<WORD coords="1798,2917,2026,2845,2901">primer</WORD>
<WORD coords="2089,2930,2356,2853,2909">ejemplo</WORD>
<WORD coords="2417,2914,2506,2857,2913">los</WORD>
<WORD coords="2567,2934,2745,2881,2915">pesos</WORD>
<WORD coords="2803,2918,2830,2867,2918">á</WORD>
<WORD coords="2880,2920,2963,2869,2919">42</WORD>
</LINE>
<LINE>
<WORD coords="598,2994,790,2938,2992">reales</WORD>
<WORD coords="824,3009,840,2983,3008">,</WORD>
<WORD coords="871,3007,1010,2959,2993">para</WORD>
<WORD coords="1067,2998,1333,2939,2995">facilitar</WORD>
<WORD coords="1378,2999,1439,2943,2998">el</WORD>
<WORD coords="1500,3003,1738,2947,3000">calculo</WORD>
<WORD coords="1774,3017,1789,2971,3017">;</WORD>
<WORD coords="1829,3022,1941,2969,3004">por</WORD>
<WORD coords="1998,3009,2053,2955,3008">la</WORD>
<WORD coords="2096,3016,2318,2956,3014">misma</WORD>
<WORD coords="2375,3023,2558,2982,3020">razón</WORD>
<WORD coords="2607,3024,2961,2966,3022">reducimos</WORD>
</LINE>
<LINE>
<WORD coords="596,3099,655,3043,3098">el</WORD>
<WORD coords="716,3116,1176,3044,3098">multiplicador</WORD>
<WORD coords="1239,3102,1266,3050,3107">á</WORD>
<WORD coords="1323,3105,1427,3069,3105">sus</WORD>
<WORD coords="1502,3110,1807,3050,3108">unidades</WORD>
<WORD coords="1868,3117,2108,3057,3114">ínfimas</WORD>
<WORD coords="2143,3134,2157,3105,3134">,</WORD>
<WORD coords="2191,3140,2309,3084,3121">que</WORD>
<WORD coords="2368,3126,2476,3088,3125">son</WORD>
<WORD coords="2533,3132,2607,3083,3132">14</WORD>
<WORD coords="2647,3132,2868,3055,3130">ttreías</WORD>
<WORD coords="2919,3129,2957,3074,3129">ó</WORD>
</LINE>
<LINE>
<WORD coords="597,3226,750,3151,3204">píes.</WORD>
<WORD coords="848,3207,920,3150,3206">El</WORD>
<WORD coords="978,3224,1442,3155,3209">multiplicador</WORD>
<WORD coords="1488,3234,1976,3173,3216">representamos</WORD>
<WORD coords="2014,3225,2087,3187,3223">en</WORD>
<WORD coords="2128,3231,2385,3190,3228">numero</WORD>
<WORD coords="2444,3255,2795,3179,3237">abstracto,</WORD>
<WORD coords="2848,3258,2953,3201,3237">po-</WORD>
</LINE>
<LINE>
<WORD coords="592,3311,882,3253,3309">Riéndole</WORD>
<WORD coords="940,3328,1047,3277,3312">por</WORD>
<WORD coords="1097,3322,1551,3260,3319">denominador</WORD>
<WORD coords="1610,3325,1664,3268,3323">lia</WORD>
<WORD coords="1727,3326,1917,3275,3324">tercia</WORD>
<WORD coords="1969,3348,2299,3281,3332">espresada</WORD>
<WORD coords="2348,3338,2420,3302,3337">en</WORD>
<WORD coords="2482,3362,2845,3294,3345">guarismo;</WORD>
<WORD coords="2893,3346,2953,3291,3345">lo</WORD>
</LINE>
<LINE>
<WORD coords="595,3431,773,3377,3413">uno,</WORD>
<WORD coords="839,3435,1068,3380,3417">porque</WORD>
<WORD coords="1132,3446,1273,3368,3432">(41)</WORD>
<WORD coords="1331,3427,1406,3370,3425">de</WORD>
<WORD coords="1465,3430,1628,3369,3428">facto</WORD>
<WORD coords="1680,3430,1744,3393,3430">es</WORD>
<WORD coords="1788,3435,2044,3395,3432">numero</WORD>
<WORD coords="2104,3461,2459,3383,3438">abstracto;</WORD>
<WORD coords="2512,3444,2523,3393,3444">i</WORD>
<WORD coords="2532,3449,2566,3415,3449">Q</WORD>
<WORD coords="2609,3463,2793,3407,3450">otro,</WORD>
<WORD coords="2848,3465,2948,3414,3450">pa-</WORD>
</LINE>
<LINE>
<WORD coords="591,3524,660,3484,3523">ra</WORD>
<WORD coords="721,3542,838,3488,3524">que</WORD>
<WORD coords="894,3524,947,3474,3524">el</WORD>
<WORD coords="1004,3533,1355,3476,3529">calculador</WORD>
<WORD coords="1417,3556,1595,3491,3534">tenga</WORD>
<WORD coords="1647,3538,1675,3488,3539">á</WORD>
<WORD coords="1722,3540,1776,3483,3540">!a</WORD>
<WORD coords="1820,3546,1977,3488,3543">vista</WORD>
<WORD coords="2034,3546,2087,3493,3546">el</WORD>
<WORD coords="2161,3567,2478,3496,3551">quebrado</WORD>
<WORD coords="2508,3569,2524,3544,3569">,</WORD>
<WORD coords="2600,3574,2709,3518,3555">por</WORD>
<WORD coords="2784,3553,2833,3500,3553">si</WORD>
<WORD coords="2890,3555,2947,3500,3554">lo</WORD>
</LINE>
<LINE>
<WORD coords="591,3650,795,3575,3629">puede</WORD>
<WORD coords="852,3634,1161,3580,3631">convertir</WORD>
<WORD coords="1204,3637,1275,3602,3637">en</WORD>
<WORD coords="1334,3644,1598,3585,3641">decimal</WORD>
<WORD coords="1632,3660,1649,3635,3660">,</WORD>
<WORD coords="1701,3664,1818,3611,3647">que</WORD>
<WORD coords="1880,3650,1943,3616,3650">es</WORD>
<WORD coords="2009,3652,2035,3603,3652">á</WORD>
<WORD coords="2097,3653,2155,3600,3653">lo</WORD>
<WORD coords="2212,3673,2331,3620,3657">que</WORD>
<WORD coords="2385,3661,2541,3604,3658">dtbe</WORD>
<WORD coords="2602,3677,2950,3602,3658">propender</WORD>
</LINE>
<LINE>
<WORD coords="586,3737,831,3679,3735">cuando</WORD>
<WORD coords="891,3754,1089,3682,3737">pueda</WORD>
<WORD coords="1205,3741,1297,3686,3740">Lo</WORD>
<WORD coords="1358,3750,1570,3690,3747">demás</WORD>
<WORD coords="1624,3755,1780,3699,3753">nada</WORD>
<WORD coords="1838,3759,1999,3702,3756">tiene</WORD>
<WORD coords="2058,3779,2175,3726,3761">que</WORD>
<WORD coords="2229,3766,2577,3707,3763">demostrar</WORD>
<WORD coords="2612,3779,2628,3754,3779">,</WORD>
<WORD coords="2675,3783,2823,3728,3764">pues</WORD>
<WORD coords="2878,3765,2943,3729,3763">se</WORD>
</LINE>
<LINE>
<WORD coords="587,3845,816,3789,3843">reduce</WORD>
<WORD coords="871,3844,900,3790,3851">á</WORD>
<WORD coords="953,3865,1328,3791,3845">multiplicar</WORD>
<WORD coords="1377,3854,1453,3819,3854">un</WORD>
<WORD coords="1504,3860,1715,3814,3857">entero</WORD>
<WORD coords="1774,3864,1908,3811,3862">cual</WORD>
<WORD coords="1984,3866,2047,3831,3865">es</WORD>
<WORD coords="2107,3868,2161,3814,3867">el</WORD>
<WORD coords="2237,3870,2314,3820,3869">42</WORD>
<WORD coords="2371,3872,2561,3817,3870">reales</WORD>
<WORD coords="2606,3898,2784,3817,3882">[35]</WORD>
<WORD coords="2835,3877,2945,3828,3867">por</WORD>
</LINE>
<LINE>
<WORD coords="587,3952,667,3914,3950">un</WORD>
<WORD coords="719,3968,1035,3895,3949">quebrado</WORD>
<WORD coords="1071,3968,1086,3941,3968">,</WORD>
<WORD coords="1151,3970,1184,3920,3968">y</WORD>
<WORD coords="1239,3959,1411,3922,3957">sacar</WORD>
<WORD coords="1475,3963,1564,3910,3962">los</WORD>
<WORD coords="1631,3969,1871,3923,3966">enteros</WORD>
<WORD coords="1923,3972,2023,3916,3971">del</WORD>
<WORD coords="2079,3995,2395,3919,3977">quebrado</WORD>
<WORD coords="2449,4001,2757,3924,3980">impropio</WORD>
<WORD coords="2794,3998,2814,3967,3998">t</WORD>
<WORD coords="2850,3985,2939,3941,3984">te-</WORD>
</LINE>
<LINE>
<WORD coords="589,4062,675,4017,4060">üo</WORD>
<WORD coords="733,4060,792,4003,4059">lo</WORD>
<WORD coords="833,4082,950,4022,4061">que</WORD>
<WORD coords="996,4083,1074,4024,4063">ya</WORD>
<WORD coords="1130,4067,1347,4005,4065">hemos</WORD>
<WORD coords="1402,4076,1803,4016,4073">demostrado</WORD>
<WORD coords="1854,4080,2038,4033,4078">atrás.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0114.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0115.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0115.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1352,562,1572,468,560">105</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1067,701,1132,643,700">H</WORD>
<WORD coords="1134,702,1303,656,700">estar</WORD>
<WORD coords="1368,708,1810,647,704">denominados»</WORD>
</LINE>
<LINE>
<WORD coords="378,834,476,779,833">52.</WORD>
<WORD coords="571,834,898,773,832">Problema</WORD>
<WORD coords="930,852,970,794,844">y</WORD>
<WORD coords="999,834,1367,777,833">resolución.</WORD>
<WORD coords="1458,836,1622,779,834">Para</WORD>
<WORD coords="1677,837,1879,791,836">restar</WORD>
<WORD coords="1909,844,2331,781,840">denominados</WORD>
<WORD coords="2362,858,2380,831,851">,</WORD>
<WORD coords="2414,844,2479,807,844">se</WORD>
<WORD coords="2511,846,2618,805,845">co-</WORD>
</LINE>
<LINE>
<WORD coords="253,940,427,877,938">locan</WORD>
<WORD coords="466,939,558,882,938">las</WORD>
<WORD coords="612,940,918,881,938">unidades</WORD>
<WORD coords="976,938,1078,881,937">del</WORD>
<WORD coords="1132,940,1499,883,938">sustraendo</WORD>
<WORD coords="1554,959,1774,884,939">debajo</WORD>
<WORD coords="1820,943,1896,889,942">de</WORD>
<WORD coords="1950,945,2037,890,943">las</WORD>
<WORD coords="2102,946,2178,890,945">de</WORD>
<WORD coords="2249,950,2320,914,949">su</WORD>
<WORD coords="2371,966,2614,896,948">especie</WORD>
</LINE>
<LINE>
<WORD coords="258,1045,363,988,1043">del</WORD>
<WORD coords="411,1044,746,988,1042">minuendo</WORD>
<WORD coords="781,1057,797,1032,1052">,</WORD>
<WORD coords="848,1045,1035,990,1043">tirese</WORD>
<WORD coords="1086,1045,1205,1006,1044">una</WORD>
<WORD coords="1262,1063,1404,1006,1043">raya</WORD>
<WORD coords="1460,1066,1504,1009,1058">y</WORD>
<WORD coords="1561,1050,1950,991,1046">comienzese</WORD>
<WORD coords="2008,1051,2040,995,1051">á</WORD>
<WORD coords="2101,1054,2291,1010,1052">restar</WORD>
<WORD coords="2345,1073,2455,1015,1052">por</WORD>
<WORD coords="2514,1053,2602,998,1051">las</WORD>
</LINE>
<LINE>
<WORD coords="256,1151,583,1093,1149">inferiores</WORD>
<WORD coords="634,1168,754,1114,1151">que</WORD>
<WORD coords="808,1152,978,1106,1151">están</WORD>
<WORD coords="1010,1152,1042,1115,1152">a</WORD>
<WORD coords="1096,1152,1385,1093,1149">derecha.</WORD>
<WORD coords="1442,1151,1505,1095,1150">Si</WORD>
<WORD coords="1540,1152,1595,1095,1152">el</WORD>
<WORD coords="1640,1154,1895,1115,1152">numero</WORD>
<WORD coords="1951,1157,2211,1099,1155">inferior</WORD>
<WORD coords="2266,1160,2331,1122,1159">se</WORD>
<WORD coords="2387,1175,2589,1101,1156">puede</WORD>
</LINE>
<LINE>
<WORD coords="251,1256,448,1211,1256">restar</WORD>
<WORD coords="491,1258,601,1200,1257">del</WORD>
<WORD coords="642,1276,927,1201,1257">superior</WORD>
<WORD coords="960,1275,976,1245,1275">,</WORD>
<WORD coords="1022,1278,1287,1219,1255">póngase</WORD>
<WORD coords="1343,1257,1398,1201,1256">la</WORD>
<WORD coords="1451,1258,1613,1213,1256">resta</WORD>
<WORD coords="1669,1280,1892,1203,1257">debajo</WORD>
<WORD coords="1932,1260,2008,1204,1259">de</WORD>
<WORD coords="2053,1262,2108,1205,1260">la</WORD>
<WORD coords="2144,1282,2289,1226,1261">raya</WORD>
<WORD coords="2319,1275,2335,1231,1269">;</WORD>
<WORD coords="2363,1263,2496,1207,1262">sino</WORD>
<WORD coords="2529,1265,2596,1226,1263">se</WORD>
</LINE>
<LINE>
<WORD coords="249,1388,453,1309,1365">puede</WORD>
<WORD coords="484,1373,500,1353,1370">,</WORD>
<WORD coords="543,1365,777,1319,1364">tómese</WORD>
<WORD coords="834,1366,911,1308,1365">de</WORD>
<WORD coords="961,1366,1014,1310,1366">la</WORD>
<WORD coords="1075,1384,1317,1309,1366">especie</WORD>
<WORD coords="1381,1370,1920,1308,1366">inmediatamente</WORD>
<WORD coords="1990,1389,2268,1313,1369">superior</WORD>
<WORD coords="2319,1368,2421,1311,1366">del</WORD>
<WORD coords="2484,1367,2605,1310,1366">mi-</WORD>
</LINE>
<LINE>
<WORD coords="249,1473,501,1415,1472">nuendo</WORD>
<WORD coords="557,1476,675,1435,1474">una</WORD>
<WORD coords="733,1475,969,1416,1473">unidad</WORD>
<WORD coords="1003,1489,1020,1461,1481">,</WORD>
<WORD coords="1057,1474,1401,1416,1472">redúzcase</WORD>
<WORD coords="1459,1473,1491,1418,1473">á</WORD>
<WORD coords="1548,1473,1635,1415,1471">las</WORD>
<WORD coords="1679,1474,1759,1415,1474">de</WORD>
<WORD coords="1830,1475,1885,1420,1473">ia</WORD>
<WORD coords="1940,1494,2182,1426,1478">especie</WORD>
<WORD coords="2235,1474,2313,1419,1473">de</WORD>
<WORD coords="2361,1490,2479,1436,1472">que</WORD>
<WORD coords="2539,1473,2607,1433,1472">se</WORD>
</LINE>
<LINE>
<WORD coords="244,1576,397,1530,1575">trata</WORD>
<WORD coords="428,1590,442,1566,1584">,</WORD>
<WORD coords="504,1578,794,1539,1576">súmense</WORD>
<WORD coords="854,1578,967,1540,1577">con</WORD>
<WORD coords="1012,1578,1175,1533,1577">estas</WORD>
<WORD coords="1244,1598,1287,1540,1585">y</WORD>
<WORD coords="1332,1577,1410,1522,1577">de</WORD>
<WORD coords="1474,1578,1529,1522,1577">la</WORD>
<WORD coords="1581,1581,1760,1541,1579">suma</WORD>
<WORD coords="1818,1585,2097,1538,1582">réstense</WORD>
<WORD coords="2155,1584,2243,1529,1582">las</WORD>
<WORD coords="2308,1578,2405,1522,1577">del</WORD>
<WORD coords="2466,1577,2605,1539,1576">sus-</WORD>
</LINE>
<LINE>
<WORD coords="245,1688,528,1629,1684">traendo.</WORD>
<WORD coords="617,1686,684,1627,1685">Si</WORD>
<WORD coords="734,1686,810,1647,1686">en</WORD>
<WORD coords="880,1685,935,1630,1685">la</WORD>
<WORD coords="989,1689,1303,1631,1686">columna&apos;</WORD>
<WORD coords="1335,1690,1675,1630,1688">inmediata</WORD>
<WORD coords="1732,1691,1810,1635,1690">de</WORD>
<WORD coords="1888,1710,2131,1636,1691">especie</WORD>
<WORD coords="2185,1703,2466,1629,1684">superior</WORD>
<WORD coords="2519,1682,2601,1643,1681">no</WORD>
</LINE>
<LINE>
<WORD coords="242,1812,367,1731,1791">hay</WORD>
<WORD coords="421,1813,693,1734,1790">ninguna</WORD>
<WORD coords="745,1794,978,1734,1792">unidad</WORD>
<WORD coords="1010,1808,1028,1780,1789">,</WORD>
<WORD coords="1045,1794,1119,1757,1793">-se</WORD>
<WORD coords="1166,1794,1406,1740,1793">tomará</WORD>
<WORD coords="1434,1794,1513,1739,1794">de</WORD>
<WORD coords="1565,1795,1622,1741,1795">la</WORD>
<WORD coords="1672,1815,1792,1759,1797">que</WORD>
<WORD coords="1852,1798,2148,1741,1797">antecede</WORD>
<WORD coords="2193,1795,2364,1739,1791">hasta</WORD>
<WORD coords="2402,1810,2596,1734,1787">llegar</WORD>
</LINE>
<LINE>
<WORD coords="241,1900,450,1840,1898">donde</WORD>
<WORD coords="496,1898,552,1844,1898">la</WORD>
<WORD coords="604,1919,782,1839,1898">haya.</WORD>
<WORD coords="878,1899,1028,1841,1898">Esta</WORD>
<WORD coords="1086,1901,1320,1842,1899">unidad</WORD>
<WORD coords="1376,1900,1440,1863,1900">se</WORD>
<WORD coords="1492,1921,1910,1843,1902">descompone</WORD>
<WORD coords="1957,1903,2031,1865,1902">en</WORD>
<WORD coords="2082,1903,2170,1848,1902">las</WORD>
<WORD coords="2225,1902,2596,1840,1896">inmediata-</WORD>
</LINE>
<LINE>
<WORD coords="242,2006,449,1958,2003">mente</WORD>
<WORD coords="510,2004,835,1945,2002">inferiores</WORD>
<WORD coords="872,2016,890,1989,2011">,</WORD>
<WORD coords="939,2007,1017,1947,2005">de</WORD>
<WORD coords="1063,2005,1149,1948,2003">las</WORD>
<WORD coords="1211,2022,1330,1968,2006">que</WORD>
<WORD coords="1375,2007,1441,1969,2006">se</WORD>
<WORD coords="1494,2007,1661,1962,2006">toma</WORD>
<WORD coords="1720,2009,1839,1970,2007">una</WORD>
<WORD coords="1875,2023,1893,1995,2023">,</WORD>
<WORD coords="1945,2028,1989,1971,2017">y</WORD>
<WORD coords="2039,2007,2127,1951,2006">las</WORD>
<WORD coords="2173,2024,2292,1969,2005">que</WORD>
<WORD coords="2348,2021,2595,1944,2001">queden</WORD>
</LINE>
<LINE>
<WORD coords="242,2109,310,2071,2109">se</WORD>
<WORD coords="368,2109,705,2052,2107">escribirán</WORD>
<WORD coords="767,2109,841,2070,2108">en</WORD>
<WORD coords="899,2111,954,2053,2110">la</WORD>
<WORD coords="1005,2112,1289,2054,2110">columna</WORD>
<WORD coords="1338,2111,1367,2058,2111">á</WORD>
<WORD coords="1434,2131,1552,2076,2113">que</WORD>
<WORD coords="1613,2132,1974,2072,2112">pertenecen</WORD>
<WORD coords="2010,2126,2026,2080,2119">;</WORD>
<WORD coords="2080,2113,2135,2057,2112">la</WORD>
<WORD coords="2180,2112,2412,2050,2107">unidad</WORD>
<WORD coords="2462,2123,2591,2068,2108">que</WORD>
</LINE>
<LINE>
<WORD coords="236,2214,304,2175,2213">se</WORD>
<WORD coords="346,2214,521,2156,2213">tomó</WORD>
<WORD coords="550,2229,568,2201,2222">,</WORD>
<WORD coords="598,2216,664,2177,2215">se</WORD>
<WORD coords="712,2234,1130,2158,2216">descompone</WORD>
<WORD coords="1194,2218,1270,2180,2217">ea</WORD>
<WORD coords="1327,2218,1415,2161,2217">las</WORD>
<WORD coords="1453,2220,1781,2159,2217">inferiores</WORD>
<WORD coords="1827,2240,2168,2161,2217">siguientes</WORD>
<WORD coords="2202,2230,2219,2202,2230">,</WORD>
<WORD coords="2275,2234,2317,2177,2225">y</WORD>
<WORD coords="2368,2212,2445,2155,2211">de</WORD>
<WORD coords="2492,2212,2590,2173,2210">es-</WORD>
</LINE>
<LINE>
<WORD coords="235,2320,333,2272,2318">tas</WORD>
<WORD coords="379,2319,443,2282,2319">se</WORD>
<WORD coords="491,2320,661,2277,2319">toma</WORD>
<WORD coords="708,2321,828,2281,2320">una</WORD>
<WORD coords="852,2334,869,2308,2324">,</WORD>
<WORD coords="923,2324,1257,2267,2322">asentando</WORD>
<WORD coords="1314,2325,1398,2267,2323">las</WORD>
<WORD coords="1457,2343,1576,2288,2324">que</WORD>
<WORD coords="1624,2340,1866,2267,2324">queden</WORD>
<WORD coords="1911,2324,2152,2266,2323">encima</WORD>
<WORD coords="2223,2321,2300,2264,2320">de</WORD>
<WORD coords="2358,2319,2433,2281,2318">su</WORD>
<WORD coords="2483,2319,2589,2277,2318">co-</WORD>
</LINE>
<LINE>
<WORD coords="234,2425,445,2367,2424">lumna</WORD>
<WORD coords="480,2429,498,2390,2428">:</WORD>
<WORD coords="557,2425,621,2367,2424">Si</WORD>
<WORD coords="674,2427,733,2369,2426">la</WORD>
<WORD coords="778,2430,1011,2370,2428">unidad</WORD>
<WORD coords="1043,2443,1060,2416,2443">,</WORD>
<WORD coords="1117,2448,1237,2393,2429">que</WORD>
<WORD coords="1293,2432,1720,2373,2429">últimamente</WORD>
<WORD coords="1763,2430,1828,2393,2430">se</WORD>
<WORD coords="1881,2430,2047,2383,2429">toma</WORD>
<WORD coords="2078,2444,2099,2415,2437">,</WORD>
<WORD coords="2152,2431,2431,2369,2425">contiene</WORD>
<WORD coords="2488,2424,2584,2365,2423">in-</WORD>
</LINE>
<LINE>
<WORD coords="230,2538,718,2477,2535">mediatamente</WORD>
<WORD coords="771,2538,803,2484,2538">á</WORD>
<WORD coords="865,2541,952,2484,2540">las</WORD>
<WORD coords="1009,2541,1109,2482,2539">del</WORD>
<WORD coords="1161,2543,1417,2502,2540">numero</WORD>
<WORD coords="1458,2540,1536,2483,2539">de</WORD>
<WORD coords="1582,2558,1702,2502,2540">que</WORD>
<WORD coords="1734,2542,1799,2503,2541">se</WORD>
<WORD coords="1837,2540,1994,2496,2539">trata</WORD>
<WORD coords="2024,2544,2039,2521,2544">,</WORD>
<WORD coords="2089,2551,2583,2484,2535">descomponga-</WORD>
</LINE>
<LINE>
<WORD coords="185,2623,194,2609,2633">•</WORD>
<WORD coords="227,2639,294,2600,2639">se</WORD>
<WORD coords="336,2640,412,2602,2639">en</WORD>
<WORD coords="450,2643,612,2598,2642">estas</WORD>
<WORD coords="628,2660,656,2633,2654">^</WORD>
<WORD coords="695,2648,982,2608,2646">súmense</WORD>
<WORD coords="1033,2647,1147,2609,2647">con</WORD>
<WORD coords="1191,2646,1277,2591,2645">las</WORD>
<WORD coords="1334,2665,1452,2610,2646">que</WORD>
<WORD coords="1496,2665,1618,2588,2646">hay</WORD>
<WORD coords="1668,2665,1707,2609,2665">y</WORD>
<WORD coords="1754,2668,2063,2589,2645">ejecútese</WORD>
<WORD coords="2114,2646,2170,2590,2646">la</WORD>
<WORD coords="2215,2644,2392,2598,2642">resta.</WORD>
<WORD coords="2489,2637,2581,2575,2636">Al</WORD>
</LINE>
<LINE>
<WORD coords="225,2747,422,2700,2745">restar</WORD>
<WORD coords="471,2749,572,2690,2748">del</WORD>
<WORD coords="627,2769,950,2694,2751">guarismo</WORD>
<WORD coords="986,2766,1005,2738,2759">,</WORD>
<WORD coords="1062,2753,1139,2695,2752">de</WORD>
<WORD coords="1194,2772,1382,2702,2753">quien</WORD>
<WORD coords="1420,2753,1490,2716,2752">se</WORD>
<WORD coords="1548,2753,1723,2694,2752">tomó</WORD>
<WORD coords="1773,2752,1830,2697,2752">la</WORD>
<WORD coords="1884,2773,2154,2693,2751">primera</WORD>
<WORD coords="2197,2753,2428,2687,2747">unidad</WORD>
<WORD coords="2456,2760,2476,2731,2755">,</WORD>
<WORD coords="2502,2745,2572,2703,2744">se</WORD>
</LINE>
<LINE>
<WORD coords="227,2850,285,2790,2850">le</WORD>
<WORD coords="330,2876,606,2796,2852">rebajará</WORD>
<WORD coords="650,2859,802,2811,2856">esta.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="473,2984,766,2904,2961">Ejemplo,</WORD>
<WORD coords="863,2966,1070,2907,2965">Pedro</WORD>
<WORD coords="1105,2968,1285,2908,2966">debia</WORD>
<WORD coords="1347,2966,1419,2916,2966">12</WORD>
<WORD coords="1462,2966,1718,2906,2964">arrebas</WORD>
<WORD coords="1740,2975,1755,2952,2970">,</WORD>
<WORD coords="1816,2965,1896,2912,2963">10</WORD>
<WORD coords="1948,2962,2139,2904,2960">libras</WORD>
<WORD coords="2195,2980,2238,2921,2971">y</WORD>
<WORD coords="2285,2958,2320,2909,2960">8</WORD>
<WORD coords="2388,2956,2574,2899,2955">adar»</WORD>
</LINE>
<LINE>
<WORD coords="220,3066,344,3025,3066">mes</WORD>
<WORD coords="402,3067,481,3008,3066">de</WORD>
<WORD coords="545,3086,706,3012,3068">plata</WORD>
<WORD coords="732,3084,752,3035,3084">;</WORD>
<WORD coords="800,3091,845,3031,3082">y</WORD>
<WORD coords="893,3073,969,3016,3073">ha</WORD>
<WORD coords="1018,3093,1258,3017,3072">pagado</WORD>
<WORD coords="1311,3071,1350,3020,3071">9</WORD>
<WORD coords="1395,3071,1648,3014,3070">arrobas</WORD>
<WORD coords="1673,3080,1689,3059,3075">,</WORD>
<WORD coords="1742,3071,1813,3020,3071">12</WORD>
<WORD coords="1866,3083,2102,3011,3068">libras,</WORD>
<WORD coords="2165,3068,2200,3017,3068">8</WORD>
<WORD coords="2273,3066,2463,3024,3064">onzas</WORD>
<WORD coords="2518,3081,2563,3020,3081">y</WORD>
</LINE>
<LINE>
<WORD coords="222,3176,298,3121,3175">12</WORD>
<WORD coords="361,3176,636,3118,3174">adarmes</WORD>
<WORD coords="672,3176,690,3139,3176">:</WORD>
<WORD coords="743,3179,820,3121,3177">Se</WORD>
<WORD coords="876,3200,1178,3135,3178">pregunta</WORD>
<WORD coords="1220,3204,1496,3124,3180">¿Cuanto</WORD>
<WORD coords="1544,3178,1740,3120,3177">resta?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="463,3284,819,3226,3283">Colocados</WORD>
<WORD coords="876,3286,932,3231,3285">el</WORD>
<WORD coords="964,3288,1165,3230,3286">minu-</WORD>
<WORD coords="1707,3281,1785,3233,3281">25</WORD>
<WORD coords="1959,3281,2033,3230,3283">15</WORD>
<WORD coords="2218,3280,2295,3226,3279">16</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="208,3388,370,3330,3386">endo</WORD>
<WORD coords="413,3408,450,3350,3400">y</WORD>
<WORD coords="508,3392,877,3334,3390">sustraendo</WORD>
<WORD coords="908,3409,927,3380,3401">,</WORD>
<WORD coords="971,3394,1154,3354,3392">como</WORD>
<WORD coords="1660,3366,1687,3329,3366">x</WORD>
<WORD coords="1683,3374,1708,3350,3374">*</WORD>
<WORD coords="1705,3378,1731,3356,3378">m</WORD>
<WORD coords="1727,3379,1791,3336,3373">~&apos;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="201,3493,270,3455,3492">se</WORD>
<WORD coords="322,3494,392,3456,3492">ve</WORD>
<WORD coords="423,3495,497,3458,3494">en</WORD>
<WORD coords="540,3496,596,3441,3494">el</WORD>
<WORD coords="631,3514,983,3452,3495">prospecto,</WORD>
<WORD coords="1013,3499,1140,3462,3497">em«</WORD>
<WORD coords="1316,3501,1392,3447,3499">12</WORD>
<WORD coords="1441,3499,1644,3441,3498">arrob.</WORD>
<WORD coords="1699,3499,1771,3449,3498">10</WORD>
<WORD coords="1814,3499,1915,3441,3496">¿ib.</WORD>
<WORD coords="1959,3496,2003,3448,3496">O</WORD>
<WORD coords="2046,3498,2159,3457,3497">onz</WORD>
<WORD coords="2232,3494,2268,3447,3495">8</WORD>
<WORD coords="2323,3496,2555,3436,3495">adarm»</WORD>
</LINE>
<LINE>
<WORD coords="205,3616,390,3542,3597">piezo</WORD>
<WORD coords="424,3600,453,3546,3601">á</WORD>
<WORD coords="487,3601,682,3555,3599">restar</WORD>
<WORD coords="715,3602,807,3546,3601">los</WORD>
<WORD coords="839,3621,1152,3547,3603">adarmes,</WORD>
<WORD coords="1355,3602,1395,3550,3603">9</WORD>
<WORD coords="1689,3604,1764,3553,3603">12</WORD>
<WORD coords="1958,3601,1994,3553,3601">8</WORD>
<WORD coords="2183,3602,2256,3553,3601">12</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="199,3705,235,3664,3705">V</WORD>
<WORD coords="302,3728,453,3649,3704">digo</WORD>
<WORD coords="488,3712,506,3675,3712">:</WORD>
<WORD coords="552,3720,763,3650,3707">Quien</WORD>
<WORD coords="808,3708,886,3654,3708">de</WORD>
<WORD coords="923,3711,963,3661,3711">8</WORD>
<WORD coords="1007,3728,1113,3657,3712">qui</WORD>
<WORD coords="1235,3704,1250,3688,3706">■</WORD>
<WORD coords="2500,3696,2551,3677,3696">—</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="192,3810,253,3763,3809">ta</WORD>
<WORD coords="308,3814,380,3761,3814">12</WORD>
<WORD coords="410,3827,430,3799,3821">,</WORD>
<WORD coords="483,3815,562,3777,3814">no</WORD>
<WORD coords="621,3833,821,3757,3814">puede</WORD>
<WORD coords="882,3831,1006,3780,3815">ser;</WORD>
<WORD coords="1041,3818,1137,3780,3818">me</WORD>
<WORD coords="1349,3818,1386,3769,3818">2</WORD>
<WORD coords="1432,3818,1632,3760,3816">arrob.</WORD>
<WORD coords="1667,3816,1745,3768,3816">22</WORD>
<WORD coords="1788,3817,1892,3762,3816">Jib.</WORD>
<WORD coords="1929,3815,1964,3764,3815">7</WORD>
<WORD coords="2006,3818,2140,3777,3816">onz-</WORD>
<WORD coords="2197,3815,2269,3764,3814">12</WORD>
<WORD coords="2315,3814,2545,3755,3809">udarm.</WORD>
</LINE>
<LINE>
<WORD coords="195,3930,405,3872,3915">presto</WORD>
<WORD coords="458,3919,536,3863,3918">de</WORD>
<WORD coords="593,3920,684,3864,3919">las</WORD>
<WORD coords="750,3921,940,3884,3920">enzas</WORD>
<WORD coords="1000,3924,1120,3887,3922">una</WORD>
<WORD coords="1175,3923,1335,3885,3921">onza</WORD>
<WORD coords="1366,3936,1383,3909,3935">,</WORD>
<WORD coords="1431,3935,1574,3886,3921">pero</WORD>
<WORD coords="1623,3922,1805,3886,3920">como</WORD>
<WORD coords="1864,3942,2131,3865,3919">ninguna</WORD>
<WORD coords="2191,3920,2350,3882,3919">onza</WORD>
<WORD coords="2402,3936,2521,3860,3915">hay</WORD>
<WORD coords="2528,3935,2548,3904,3935">#</WORD>
</LINE>
<LINE>
<WORD coords="196,4024,364,3974,4022">tomo</WORD>
<WORD coords="403,4026,480,3968,4026">de</WORD>
<WORD coords="534,4028,626,3969,4027">las</WORD>
<WORD coords="670,4032,859,3970,4030">libias</WORD>
<WORD coords="908,4034,1024,3992,4032">una</WORD>
<WORD coords="1057,4049,1078,3995,4040">¿</WORD>
<WORD coords="1133,4032,1193,3975,4031">la</WORD>
<WORD coords="1239,4032,1559,3972,4028">convierto</WORD>
<WORD coords="1600,4032,1676,3991,4032">en</WORD>
<WORD coords="1735,4032,1813,3974,4031">16</WORD>
<WORD coords="1862,4032,2055,3989,4030">onzas</WORD>
<WORD coords="2086,4046,2106,4011,4046">9</WORD>
<WORD coords="2150,4029,2228,3973,4026">de</WORD>
<WORD coords="2281,4026,2368,3971,4025">las</WORD>
<WORD coords="2422,4042,2548,3983,4025">que</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1311,4115,1391,4060,4114">28</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0115.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0116.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0116.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1753,468,1970,371,466">106</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="714,576,885,525,574">ierro</WORD>
<WORD coords="938,579,1053,538,577">una</WORD>
<WORD coords="1105,597,1146,541,592">y</WORD>
<WORD coords="1194,581,1434,522,580">escribo</WORD>
<WORD coords="1478,582,1567,526,581">las</WORD>
<WORD coords="1633,584,1705,534,585">15</WORD>
<WORD coords="1758,605,1875,551,587">que</WORD>
<WORD coords="1935,607,2176,532,589">quedan</WORD>
<WORD coords="2236,594,2309,556,593">en</WORD>
<WORD coords="2369,595,2425,539,595">?a</WORD>
<WORD coords="2472,599,2754,540,596">columna</WORD>
<WORD coords="2814,599,2890,542,598">de</WORD>
<WORD coords="2951,605,3045,544,601">la»</WORD>
</LINE>
<LINE>
<WORD coords="686,680,874,642,679">onzas</WORD>
<WORD coords="916,683,1092,631,682">sobre</WORD>
<WORD coords="1135,686,1213,652,685">un</WORD>
<WORD coords="1277,701,1610,636,688">paréntesis</WORD>
<WORD coords="1633,698,1650,656,694">;</WORD>
<WORD coords="1683,691,1738,636,690">la</WORD>
<WORD coords="1791,694,1947,657,692">onza</WORD>
<WORD coords="2003,715,2121,660,696">que</WORD>
<WORD coords="2154,700,2323,644,697">tomé</WORD>
<WORD coords="2374,702,2647,647,700">reduzco</WORD>
<WORD coords="2693,702,2725,648,702">á</WORD>
<WORD coords="2765,705,2835,653,704">16</WORD>
<WORD coords="2868,707,3047,650,705">adar-</WORD>
</LINE>
<LINE>
<WORD coords="679,797,817,749,789">ces</WORD>
<WORD coords="923,808,1042,755,791">que</WORD>
<WORD coords="1088,792,1176,737,790">los</WORD>
<WORD coords="1231,810,1457,759,793">sumo,</WORD>
<WORD coords="1515,799,1805,741,797">diciendo</WORD>
<WORD coords="1843,804,1928,749,802">¡6</WORD>
<WORD coords="1965,820,2005,765,811">y</WORD>
<WORD coords="2053,803,2087,756,803">8</WORD>
<WORD coords="2140,804,2248,768,803">son</WORD>
<WORD coords="2302,805,2376,758,805">14</WORD>
<WORD coords="2408,818,2421,795,818">,</WORD>
<WORD coords="2473,825,2656,752,807">quién</WORD>
<WORD coords="2718,809,2793,755,808">de</WORD>
<WORD coords="2830,812,2870,764,812">4</WORD>
<WORD coords="2904,826,3039,756,817">(fui«</WORD>
</LINE>
<LINE>
<WORD coords="678,903,745,847,891">|a</WORD>
<WORD coords="800,911,881,847,904">2,</WORD>
<WORD coords="931,900,1130,858,897">restan</WORD>
<WORD coords="1174,913,1251,853,909">2,</WORD>
<WORD coords="1307,919,1425,866,903">que</WORD>
<WORD coords="1489,906,1730,848,903">escribo</WORD>
<WORD coords="1785,907,1859,870,906">en</WORD>
<WORD coords="1919,909,1991,871,907">su</WORD>
<WORD coords="2036,930,2210,853,907">lugar</WORD>
<WORD coords="2241,924,2258,877,917">;</WORD>
<WORD coords="2308,911,2331,863,911">1</WORD>
<WORD coords="2399,923,2434,877,918">y</WORD>
<WORD coords="2498,914,2523,866,914">l</WORD>
<WORD coords="2596,926,2713,880,916">que</WORD>
<WORD coords="2784,935,3042,863,917">llevaba;</WORD>
</LINE>
<LINE>
<WORD coords="681,999,792,961,998">son</WORD>
<WORD coords="852,1002,887,955,1007">2</WORD>
<WORD coords="924,1005,941,970,1008">:</WORD>
<WORD coords="990,1021,1172,949,1005">quien</WORD>
<WORD coords="1233,1007,1310,953,1006">de</WORD>
<WORD coords="1370,1009,1406,961,1010">2</WORD>
<WORD coords="1462,1028,1632,957,1010">quita</WORD>
<WORD coords="1702,1013,1727,963,1013">l</WORD>
<WORD coords="1761,1028,1779,1000,1021">,</WORD>
<WORD coords="1830,1014,1990,968,1012">resta</WORD>
<WORD coords="2054,1016,2104,969,1016">1.</WORD>
<WORD coords="2214,1016,2367,965,1015">Faso</WORD>
<WORD coords="2430,1018,2457,966,1018">á</WORD>
<WORD coords="2521,1019,2574,963,1018">la</WORD>
<WORD coords="2630,1022,2912,969,1019">columna</WORD>
<WORD coords="2962,1031,3040,971,1027">de</WORD>
</LINE>
<LINE>
<WORD coords="680,1110,770,1052,1107">las</WORD>
<WORD coords="829,1110,1018,1071,1108">onzas</WORD>
<WORD coords="1056,1125,1073,1099,1125">,</WORD>
<WORD coords="1146,1131,1181,1077,1131">y</WORD>
<WORD coords="1239,1135,1386,1059,1112">digo</WORD>
<WORD coords="1422,1117,1435,1081,1118">:</WORD>
<WORD coords="1480,1118,1558,1064,1117">de</WORD>
<WORD coords="1610,1118,1644,1070,1118">8</WORD>
<WORD coords="1705,1118,1730,1065,1118">á</WORD>
<WORD coords="1798,1119,1868,1072,1118">15</WORD>
<WORD coords="1930,1121,2041,1086,1120">van</WORD>
<WORD coords="2109,1141,2184,1072,1135">7;</WORD>
<WORD coords="2240,1143,2354,1088,1119">voy</WORD>
<WORD coords="2410,1123,2439,1070,1123">á</WORD>
<WORD coords="2498,1125,2553,1070,1124">la</WORD>
<WORD coords="2614,1130,2896,1075,1128">columna</WORD>
<WORD coords="2960,1140,3040,1077,1138">de</WORD>
</LINE>
<LINE>
<WORD coords="679,1228,767,1157,1217">Jas</WORD>
<WORD coords="826,1230,1049,1159,1214">Hbras,</WORD>
<WORD coords="1105,1240,1146,1182,1240">y</WORD>
<WORD coords="1192,1244,1525,1165,1221">rebajando</WORD>
<WORD coords="1594,1226,1619,1181,1226">l</WORD>
<WORD coords="1661,1243,1778,1191,1227">que</WORD>
<WORD coords="1830,1228,1927,1192,1227">me</WORD>
<WORD coords="1988,1243,2193,1173,1228">presté</WORD>
<WORD coords="2243,1230,2339,1177,1229">del</WORD>
<WORD coords="2415,1244,2535,1184,1238">10%</WORD>
<WORD coords="2594,1253,2744,1177,1231">digo</WORD>
<WORD coords="2784,1235,2798,1199,1235">:</WORD>
<WORD coords="2851,1235,2927,1181,1234">de</WORD>
<WORD coords="2963,1245,3034,1191,1241">13</WORD>
</LINE>
<LINE>
<WORD coords="676,1321,707,1266,1327">á</WORD>
<WORD coords="766,1319,801,1268,1326">9</WORD>
<WORD coords="833,1333,850,1309,1333">,</WORD>
<WORD coords="929,1322,1006,1286,1322">no</WORD>
<WORD coords="1064,1344,1259,1270,1327">puede</WORD>
<WORD coords="1316,1328,1411,1293,1328">ser</WORD>
<WORD coords="1443,1345,1462,1295,1339">;</WORD>
<WORD coords="1524,1331,1620,1294,1331">me</WORD>
<WORD coords="1683,1349,1888,1288,1331">presto</WORD>
<WORD coords="1946,1334,2067,1297,1333">una</WORD>
<WORD coords="2117,1337,2333,1281,1334">arroba</WORD>
<WORD coords="2387,1338,2483,1282,1337">de!</WORD>
<WORD coords="2545,1342,2802,1301,1338">numero</WORD>
<WORD coords="2832,1341,2908,1285,1341">de</WORD>
<WORD coords="2943,1345,3032,1289,1342">las</WORD>
</LINE>
<LINE>
<WORD coords="676,1427,731,1387,1426">ai</WORD>
<WORD coords="751,1444,983,1373,1426">lobas..,,</WORD>
<WORD coords="1028,1430,1082,1378,1428">ia</WORD>
<WORD coords="1147,1435,1421,1377,1433">reduzco</WORD>
<WORD coords="1480,1436,1509,1385,1437">á</WORD>
<WORD coords="1589,1439,1665,1389,1438">25</WORD>
<WORD coords="1725,1463,1964,1383,1437">libras,</WORD>
<WORD coords="2024,1454,2056,1405,1448">y</WORD>
<WORD coords="2123,1442,2214,1387,1440">las.</WORD>
<WORD coords="2270,1444,2450,1405,1443">sumo</WORD>
<WORD coords="2507,1444,2620,1408,1444">con</WORD>
<WORD coords="2675,1446,2759,1390,1444">las</WORD>
<WORD coords="2816,1445,2854,1394,1445">9</WORD>
<WORD coords="2913,1465,3032,1412,1449">qu$</WORD>
</LINE>
<LINE>
<WORD coords="673,1556,909,1487,1532">tengo,</WORD>
<WORD coords="974,1544,1301,1483,1539">diciendo:</WORD>
<WORD coords="1358,1543,1393,1494,1544">5</WORD>
<WORD coords="1438,1564,1476,1509,1555">y</WORD>
<WORD coords="1532,1546,1569,1493,1546">9</WORD>
<WORD coords="1627,1546,1736,1510,1545">soa</WORD>
<WORD coords="1804,1564,1922,1499,1556">14,</WORD>
<WORD coords="1982,1568,2167,1492,1548">quien</WORD>
<WORD coords="2230,1549,2305,1494,1548">de</WORD>
<WORD coords="2363,1550,2403,1499,1550">4</WORD>
<WORD coords="2457,1567,2626,1494,1548">quita</WORD>
<WORD coords="2688,1561,2768,1503,1558">2,</WORD>
<WORD coords="2827,1566,3035,1510,1551">restar*</WORD>
</LINE>
<LINE>
<WORD coords="672,1642,711,1591,1647">2</WORD>
<WORD coords="745,1654,760,1609,1653">;</WORD>
<WORD coords="820,1643,854,1596,1647">2</WORD>
<WORD coords="899,1665,938,1609,1658">y</WORD>
<WORD coords="999,1644,1021,1596,1648">1</WORD>
<WORD coords="1084,1664,1202,1610,1648">que</WORD>
<WORD coords="1263,1660,1497,1592,1652">Meyaba</WORD>
<WORD coords="1564,1651,1672,1616,1649">son</WORD>
<WORD coords="1727,1652,1759,1604,1652">3</WORD>
<WORD coords="1797,1670,1813,1642,1670">,</WORD>
<WORD coords="1868,1673,2053,1601,1655">quien</WORD>
<WORD coords="2121,1655,2195,1601,1654">de</WORD>
<WORD coords="2258,1654,2290,1605,1654">3</WORD>
<WORD coords="2350,1670,2518,1601,1654">quita</WORD>
<WORD coords="2586,1669,2669,1607,1660">1,</WORD>
<WORD coords="2702,1656,2901,1614,1654">restan</WORD>
<WORD coords="2967,1660,3026,1611,1658">2.</WORD>
</LINE>
<LINE>
<WORD coords="674,1770,848,1690,1745">Digo</WORD>
<WORD coords="922,1767,1068,1713,1754">pues</WORD>
<WORD coords="1129,1773,1247,1718,1756">que</WORD>
<WORD coords="1338,1758,1536,1703,1757">Pedro</WORD>
<WORD coords="1588,1761,1745,1704,1759">debe</WORD>
<WORD coords="1814,1761,1851,1723,1761">o</WORD>
<WORD coords="1909,1762,2068,1717,1761">resta</WORD>
<WORD coords="2119,1763,2155,1713,1763">2</WORD>
<WORD coords="2206,1763,2461,1705,1762">arrobas</WORD>
<WORD coords="2491,1779,2508,1749,1771">,</WORD>
<WORD coords="2565,1763,2639,1715,1762">22</WORD>
<WORD coords="2696,1762,2883,1705,1761">libras</WORD>
<WORD coords="2915,1778,2932,1750,1773">,</WORD>
<WORD coords="2987,1769,3032,1710,1769">%</WORD>
</LINE>
<LINE>
<WORD coords="677,1861,872,1818,1858">CMzas</WORD>
<WORD coords="902,1874,918,1848,1867">,</WORD>
<WORD coords="973,1860,1044,1811,1860">12</WORD>
<WORD coords="1107,1869,1407,1808,1863">adarmes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="757,1967,886,1917,1966">153.</WORD>
<WORD coords="990,1975,1475,1913,1969">Demostración,</WORD>
<WORD coords="1563,1976,1802,1917,1974">Hemos</WORD>
<WORD coords="1883,1977,2134,1919,1975">hallado</WORD>
<WORD coords="2186,1977,2243,1922,1976">la</WORD>
<WORD coords="2304,1978,2643,1919,1975">diferencia</WORD>
<WORD coords="2718,1993,2837,1939,1974">que</WORD>
<WORD coords="2904,1996,3029,1919,1979">ha-jjf</WORD>
</LINE>
<LINE>
<WORD coords="668,2073,841,2027,2070">entre</WORD>
<WORD coords="891,2075,1044,2018,2074">cada</WORD>
<WORD coords="1075,2075,1189,2039,2074">una</WORD>
<WORD coords="1251,2077,1327,2022,2076">de</WORD>
<WORD coords="1379,2079,1463,2025,2079">ías</WORD>
<WORD coords="1499,2098,1699,2036,2080">partes</WORD>
<WORD coords="1735,2095,1750,2071,2089">,</WORD>
<WORD coords="1783,2084,1859,2025,2083">de</WORD>
<WORD coords="1914,2099,2030,2048,2083">que</WORD>
<WORD coords="2088,2085,2153,2049,2084">se</WORD>
<WORD coords="2203,2101,2543,2048,2082">componen</WORD>
<WORD coords="2603,2083,2690,2027,2082">los</WORD>
<WORD coords="2745,2089,3026,2026,2083">dcnosni»</WORD>
</LINE>
<LINE>
<WORD coords="668,2182,864,2124,2180">aados</WORD>
<WORD coords="892,2195,905,2146,2195">;</WORD>
<WORD coords="958,2204,1138,2124,2181">luego</WORD>
<WORD coords="1182,2186,1399,2124,2184">hemos</WORD>
<WORD coords="1448,2187,1693,2128,2185">hallado</WORD>
<WORD coords="1753,2189,1804,2135,2188">la</WORD>
<WORD coords="1850,2191,2190,2133,2189">diferencia</WORD>
<WORD coords="2252,2190,2329,2135,2190">de</WORD>
<WORD coords="2391,2193,2579,2146,2189">estos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1464,2318,1726,2260,2316">Dividir</WORD>
<WORD coords="1774,2321,2219,2263,2318">denominados.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="918,2448,1258,2386,2443">Problema*</WORD>
<WORD coords="1293,2466,1333,2409,2457">y</WORD>
<WORD coords="1384,2448,1755,2391,2446">resolución.</WORD>
<WORD coords="1813,2450,1979,2393,2448">Para</WORD>
<WORD coords="2028,2449,2257,2394,2448">dividir</WORD>
<WORD coords="2301,2453,2725,2394,2450">denominados</WORD>
<WORD coords="2752,2466,2767,2441,2459">,</WORD>
<WORD coords="2799,2453,3027,2394,2450">redúz-</WORD>
</LINE>
<LINE>
<WORD coords="667,2559,808,2512,2552">case</WORD>
<WORD coords="862,2552,919,2493,2551">el</WORD>
<WORD coords="971,2551,1209,2494,2549">divisor</WORD>
<WORD coords="1259,2552,1286,2506,2552">á</WORD>
<WORD coords="1350,2553,1411,2499,2551">la</WORD>
<WORD coords="1458,2553,1671,2517,2552">menor</WORD>
<WORD coords="1722,2553,1797,2498,2553">de</WORD>
<WORD coords="1857,2555,1959,2517,2553">sus</WORD>
<WORD coords="2022,2572,2295,2499,2554">especies</WORD>
<WORD coords="2333,2569,2347,2543,2569">,</WORD>
<WORD coords="2400,2574,2437,2520,2565">y</WORD>
<WORD coords="2496,2556,2549,2503,2556">a)</WORD>
<WORD coords="2613,2558,2869,2521,2556">numero</WORD>
<WORD coords="2905,2574,3023,2518,2557">que</WORD>
</LINE>
<LINE>
<WORD coords="666,2658,895,2601,2656">resulte</WORD>
<WORD coords="965,2678,1232,2620,2656">póngase</WORD>
<WORD coords="1290,2677,1398,2620,2656">por</WORD>
<WORD coords="1453,2659,1905,2601,2657">denominador</WORD>
<WORD coords="1963,2660,2015,2605,2659">el</WORD>
<WORD coords="2076,2661,2333,2624,2659">numero</WORD>
<WORD coords="2405,2661,2480,2607,2660">de</WORD>
<WORD coords="2541,2661,2717,2624,2660">veces</WORD>
<WORD coords="2779,2677,2896,2625,2661">que</WORD>
<WORD coords="2957,2661,3021,2602,2661">ía.</WORD>
</LINE>
<LINE>
<WORD coords="666,2764,897,2706,2762">unidad</WORD>
<WORD coords="968,2764,1006,2702,2763">í¡</WORD>
<WORD coords="1035,2762,1172,2707,2762">fima</WORD>
<WORD coords="1232,2763,1377,2708,2762">cabe</WORD>
<WORD coords="1437,2764,1509,2726,2763">en</WORD>
<WORD coords="1562,2764,1617,2709,2763">la</WORD>
<WORD coords="1674,2782,1939,2710,2763">primera</WORD>
<WORD coords="2016,2783,2298,2710,2766">superior</WORD>
<WORD coords="2333,2782,2349,2756,2782">,</WORD>
<WORD coords="2406,2787,2445,2731,2777">y</WORD>
<WORD coords="2504,2767,2852,2713,2766">tendremos</WORD>
<WORD coords="2927,2766,3023,2729,2765">re-</WORD>
</LINE>
<LINE>
<WORD coords="667,2868,899,2811,2866">ducido</WORD>
<WORD coords="944,2871,1195,2824,2868">nuestro</WORD>
<WORD coords="1254,2869,1394,2832,2868">caso</WORD>
<WORD coords="1456,2868,1511,2814,2868">al</WORD>
<WORD coords="1572,2870,1648,2814,2869">de</WORD>
<WORD coords="1696,2870,1932,2814,2868">dividir</WORD>
<WORD coords="1976,2872,2071,2836,2871">un-,</WORD>
<WORD coords="2110,2872,2320,2828,2871">entero</WORD>
<WORD coords="2383,2889,2490,2837,2870">por</WORD>
<WORD coords="2538,2872,2617,2836,2871">un</WORD>
<WORD coords="2677,2887,3019,2817,2871">quebrado.</WORD>
</LINE>
<LINE>
<WORD coords="669,2976,887,2918,2972">Ahora</WORD>
<WORD coords="949,2990,1090,2918,2972">aquí</WORD>
<WORD coords="1152,2973,1216,2936,2972">se</WORD>
<WORD coords="1271,2972,1379,2937,2972">nos</WORD>
<WORD coords="1431,2971,1447,2941,2972">(</WORD>
<WORD coords="1472,2974,1678,2915,2972">frecen</WORD>
<WORD coords="1728,2974,1840,2919,2973">dos</WORD>
<WORD coords="1883,2975,2169,2921,2974">métodos</WORD>
<WORD coords="2201,2977,2214,2941,2977">:</WORD>
<WORD coords="2273,2977,2320,2929,2975">1.</WORD>
<WORD coords="2354,2959,2386,2924,2966">°</WORD>
<WORD coords="2444,2979,2699,2921,2976">Dividir</WORD>
<WORD coords="2752,2977,2835,2922,2976">las</WORD>
<WORD coords="2882,2979,3016,2922,2977">uni-</WORD>
</LINE>
<LINE>
<WORD coords="667,3078,855,3023,3077">dades</WORD>
<WORD coords="888,3095,1237,3022,3079">superiores</WORD>
<WORD coords="1291,3080,1389,3024,3079">del</WORD>
<WORD coords="1435,3080,1776,3023,3078">dividendo</WORD>
<WORD coords="1832,3097,1937,3043,3076">por</WORD>
<WORD coords="1984,3082,2046,3027,3081">el</WORD>
<WORD coords="2094,3082,2467,3026,3080">numerador</WORD>
<WORD coords="2516,3082,2613,3027,3081">del</WORD>
<WORD coords="2655,3084,2889,3027,3082">divisor</WORD>
<WORD coords="2920,3095,2935,3048,3089">;</WORD>
<WORD coords="2972,3084,3023,3028,3084">si</WORD>
</LINE>
<LINE>
<WORD coords="665,3185,705,3125,3185">h</WORD>
<WORD coords="720,3204,786,3148,3188">..y</WORD>
<WORD coords="837,3186,1009,3141,3184">resta</WORD>
<WORD coords="1037,3200,1053,3173,3193">,</WORD>
<WORD coords="1107,3185,1170,3150,3184">se</WORD>
<WORD coords="1232,3187,1456,3131,3186">reduce</WORD>
<WORD coords="1511,3186,1540,3133,3186">á</WORD>
<WORD coords="1595,3185,1681,3131,3184">las</WORD>
<WORD coords="1744,3188,2047,3130,3186">unidades</WORD>
<WORD coords="2108,3187,2185,3132,3186">de</WORD>
<WORD coords="2246,3203,2487,3134,3186">especie</WORD>
<WORD coords="2551,3189,2880,3132,3187">inmediata</WORD>
<WORD coords="2931,3188,3022,3135,3187">in«</WORD>
</LINE>
<LINE>
<WORD coords="664,3290,855,3231,3287">íerior</WORD>
<WORD coords="882,3305,900,3277,3298">,</WORD>
<WORD coords="930,3291,994,3254,3289">se</WORD>
<WORD coords="1049,3292,1243,3236,3290">añade</WORD>
<WORD coords="1305,3290,1332,3255,3290">a</WORD>
<WORD coords="1398,3292,1557,3248,3291">estas</WORD>
<WORD coords="1616,3310,1654,3256,3301">y</WORD>
<WORD coords="1691,3292,1743,3237,3291">la</WORD>
<WORD coords="1786,3291,1959,3255,3290">suma</WORD>
<WORD coords="2021,3291,2083,3256,3290">se</WORD>
<WORD coords="2131,3306,2295,3247,3290">parte</WORD>
<WORD coords="2362,3312,2469,3257,3291">por</WORD>
<WORD coords="2516,3293,2567,3238,3292">el</WORD>
<WORD coords="2627,3312,3033,3238,3292">numerador/</WORD>
</LINE>
<LINE>
<WORD coords="660,3395,726,3336,3394">lo</WORD>
<WORD coords="776,3395,999,3339,3394">mismo</WORD>
<WORD coords="1056,3396,1121,3361,3395">se</WORD>
<WORD coords="1178,3398,1329,3339,3396">hace</WORD>
<WORD coords="1385,3399,1499,3361,3396">con</WORD>
<WORD coords="1560,3397,1645,3338,3396">las</WORD>
<WORD coords="1696,3397,1908,3340,3395">demás</WORD>
<WORD coords="1972,3397,2296,3342,3394">unidades.</WORD>
<WORD coords="2393,3415,2678,3344,3397">Después</WORD>
<WORD coords="2744,3400,2808,3366,3399">se</WORD>
<WORD coords="2869,3401,3026,3347,3400">muí.</WORD>
</LINE>
<LINE>
<WORD coords="664,3516,875,3443,3500">tiplica</WORD>
<WORD coords="939,3502,994,3446,3502">el</WORD>
<WORD coords="1047,3504,1322,3448,3503">cociente</WORD>
<WORD coords="1380,3522,1489,3465,3502">por</WORD>
<WORD coords="1554,3504,1619,3449,3503">el</WORD>
<WORD coords="1689,3505,2143,3446,3502">denominador</WORD>
<WORD coords="2173,3518,2189,3491,3518">,</WORD>
<WORD coords="2245,3521,2284,3466,3512">y</WORD>
<WORD coords="2344,3503,2402,3467,3502">es*</WORD>
<WORD coords="2410,3503,2468,3459,3503">te</WORD>
<WORD coords="2531,3522,2832,3448,3502">producto</WORD>
<WORD coords="2890,3504,3028,3464,3503">sera</WORD>
</LINE>
<LINE>
<WORD coords="663,3611,722,3553,3610">el</WORD>
<WORD coords="780,3611,1057,3552,3608">cociente</WORD>
<WORD coords="1121,3613,1491,3556,3610">verdadero.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="909,3718,967,3669,3717">2,</WORD>
<WORD coords="996,3698,1031,3664,3707">°</WORD>
<WORD coords="1144,3729,1284,3660,3718">Que</WORD>
<WORD coords="1342,3718,1452,3681,3716">nos</WORD>
<WORD coords="1499,3735,1717,3682,3719">parece</WORD>
<WORD coords="1766,3718,1891,3680,3716">mas</WORD>
<WORD coords="1947,3737,2230,3660,3715">espedito</WORD>
<WORD coords="2269,3736,2282,3705,3735">,</WORD>
<WORD coords="2328,3735,2364,3680,3726">y</WORD>
<WORD coords="2394,3718,2710,3659,3715">conforme</WORD>
<WORD coords="2759,3715,2786,3662,3715">á</WORD>
<WORD coords="2832,3714,2886,3658,3713">la</WORD>
<WORD coords="2922,3716,3013,3678,3715">re-</WORD>
</LINE>
<LINE>
<WORD coords="662,3846,760,3768,3824">gla</WORD>
<WORD coords="811,3844,1052,3769,3822">general</WORD>
<WORD coords="1101,3823,1261,3766,3821">dada</WORD>
<WORD coords="1316,3824,1389,3787,3823">en</WORD>
<WORD coords="1437,3823,1531,3768,3822">los</WORD>
<WORD coords="1590,3843,1941,3769,3824">quebrados</WORD>
<WORD coords="2003,3824,2340,3770,3821">abstractos</WORD>
<WORD coords="2376,3833,2391,3812,3833">,</WORD>
<WORD coords="2416,3842,2454,3788,3832">y</WORD>
<WORD coords="2509,3821,2572,3787,3821">es</WORD>
<WORD coords="2636,3819,2686,3766,3818">el</WORD>
<WORD coords="2741,3841,3013,3765,3820">siguien.</WORD>
</LINE>
<LINE>
<WORD coords="656,3929,717,3883,3928">te</WORD>
<WORD coords="755,3930,767,3894,3930">:</WORD>
<WORD coords="808,3946,1291,3873,3926">Multipliqúese</WORD>
<WORD coords="1344,3929,1400,3874,3928">el</WORD>
<WORD coords="1461,3930,1802,3873,3928">dividendo</WORD>
<WORD coords="1840,3948,1948,3896,3930">por</WORD>
<WORD coords="2002,3931,2056,3876,3929">el</WORD>
<WORD coords="2105,3930,2551,3875,3927">denominador</WORD>
<WORD coords="2607,3925,2701,3872,3924">del</WORD>
<WORD coords="2754,3926,2991,3872,3924">divisor</WORD>
<WORD coords="2997,3950,3015,3922,3950">f</WORD>
</LINE>
<LINE>
<WORD coords="656,4056,1040,3980,4036">empezando</WORD>
<WORD coords="1085,4057,1198,3997,4036">por</WORD>
<WORD coords="1245,4039,1338,3980,4037">las</WORD>
<WORD coords="1396,4040,1698,3979,4038">unidades</WORD>
<WORD coords="1742,4040,2069,3980,4038">inferiores</WORD>
<WORD coords="2124,4039,2200,3981,4038">de</WORD>
<WORD coords="2251,4057,2433,3981,4036">aquel</WORD>
<WORD coords="2730,4036,2872,3982,4034">irlas</WORD>
<WORD coords="2916,4036,3010,3996,4035">re-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0116.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0117.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0117.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1316,498,1528,402,495">107</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="227,614,540,553,609">dueienrfo</WORD>
<WORD coords="622,610,653,554,613">á</WORD>
<WORD coords="723,610,811,553,609">las</WORD>
<WORD coords="881,626,1256,556,611">superiores.</WORD>
<WORD coords="1357,623,1606,559,616">Pártase</WORD>
<WORD coords="1671,615,1744,578,615">en</WORD>
<WORD coords="1822,630,2079,561,616">seguida</WORD>
<WORD coords="2135,621,2285,565,620">cada</WORD>
<WORD coords="2347,634,2587,587,622">esprcie</WORD>
</LINE>
<LINE>
<WORD coords="227,721,326,660,717">del</WORD>
<WORD coords="381,718,724,662,716">dividendo</WORD>
<WORD coords="782,735,892,679,716">por</WORD>
<WORD coords="949,718,1003,665,718">el</WORD>
<WORD coords="1063,719,1436,664,717">numerador</WORD>
<WORD coords="1492,720,1592,665,719">del</WORD>
<WORD coords="1645,726,1881,661,723">divisor</WORD>
<WORD coords="1911,736,1926,712,736">,</WORD>
<WORD coords="1955,743,2335,674,724">empezando</WORD>
<WORD coords="2391,739,2498,693,725">por</WORD>
<WORD coords="2532,732,2588,677,730">la</WORD>
</LINE>
<LINE>
<WORD coords="229,838,473,769,821">especie</WORD>
<WORD coords="530,838,862,788,822">superior;</WORD>
<WORD coords="938,825,989,769,824">si</WORD>
<WORD coords="1041,845,1162,766,823">hay</WORD>
<WORD coords="1216,836,1434,780,823">resta,</WORD>
<WORD coords="1495,827,1835,770,825">redúzcase</WORD>
<WORD coords="1895,827,1927,775,827">á</WORD>
<WORD coords="1989,829,2073,775,827">las</WORD>
<WORD coords="2136,831,2435,776,828">unidades</WORD>
<WORD coords="2497,832,2585,781,832">in-</WORD>
</LINE>
<LINE>
<WORD coords="231,930,489,873,927">feriores</WORD>
<WORD coords="563,950,900,876,927">siguientes</WORD>
<WORD coords="941,944,958,917,937">,</WORD>
<WORD coords="1020,930,1265,894,928">súmese</WORD>
<WORD coords="1322,929,1434,893,927">con</WORD>
<WORD coords="1490,930,1636,877,928">ellas</WORD>
<WORD coords="1669,941,1684,921,941">,</WORD>
<WORD coords="1741,952,1781,897,942">y</WORD>
<WORD coords="1828,932,1953,889,932">e«-ta</WORD>
<WORD coords="2014,935,2188,898,934">suma</WORD>
<WORD coords="2253,938,2528,877,935">divídase</WORD>
<WORD coords="2562,953,2581,905,953">;</WORD>
</LINE>
<LINE>
<WORD coords="228,1054,456,977,1034">hágase</WORD>
<WORD coords="509,1036,571,980,1034">lo</WORD>
<WORD coords="623,1036,853,981,1035">mismo</WORD>
<WORD coords="909,1036,1020,998,1035">con</WORD>
<WORD coords="1084,1035,1176,979,1034">las</WORD>
<WORD coords="1238,1035,1453,979,1034">demás</WORD>
<WORD coords="1516,1055,1788,984,1036">especies</WORD>
<WORD coords="1824,1054,1841,1026,1054">,</WORD>
<WORD coords="1898,1058,1935,1003,1049">y</WORD>
<WORD coords="2000,1040,2056,985,1039">el</WORD>
<WORD coords="2116,1041,2388,985,1040">cociente</WORD>
<WORD coords="2451,1048,2581,1007,1046">sera</WORD>
</LINE>
<LINE>
<WORD coords="229,1144,286,1087,1142">el</WORD>
<WORD coords="336,1161,587,1085,1140">pedido.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="478,1267,749,1193,1247">Ejemfllo</WORD>
<WORD coords="774,1233,782,1223,1241">-</WORD>
<WORD coords="809,1250,861,1199,1249">1.</WORD>
<WORD coords="889,1230,925,1194,1239">°</WORD>
<WORD coords="1034,1248,1068,1198,1248">3</WORD>
<WORD coords="1120,1248,1295,1209,1247">varas</WORD>
<WORD coords="1354,1268,1392,1212,1258">y</WORD>
<WORD coords="1447,1249,1472,1199,1249">1</WORD>
<WORD coords="1526,1248,1735,1204,1247">cuarta</WORD>
<WORD coords="1791,1248,1866,1193,1247">de</WORD>
<WORD coords="1920,1267,2077,1197,1247">paño</WORD>
<WORD coords="2120,1252,2231,1194,1251">han</WORD>
<WORD coords="2285,1266,2577,1198,1252">importa-</WORD>
</LINE>
<LINE>
<WORD coords="226,1365,307,1303,1360">do</WORD>
<WORD coords="366,1358,442,1310,1357">25</WORD>
<WORD coords="495,1376,668,1322,1361">pesos</WORD>
<WORD coords="703,1372,719,1346,1364">,</WORD>
<WORD coords="770,1356,804,1307,1356">3</WORD>
<WORD coords="861,1357,1053,1300,1354">reales</WORD>
<WORD coords="1111,1371,1148,1319,1363">y</WORD>
<WORD coords="1210,1355,1232,1306,1355">1</WORD>
<WORD coords="1303,1354,1555,1299,1353">medio&apos;:</WORD>
<WORD coords="1614,1354,1677,1319,1353">se</WORD>
<WORD coords="1738,1371,1945,1300,1353">quiere</WORD>
<WORD coords="2004,1356,2179,1302,1355">saber</WORD>
<WORD coords="2234,1356,2287,1304,1355">el</WORD>
<WORD coords="2345,1371,2578,1303,1354">impor-</WORD>
</LINE>
<LINE>
<WORD coords="224,1465,283,1419,1465">te</WORD>
<WORD coords="338,1465,412,1410,1464">de</WORD>
<WORD coords="466,1465,616,1408,1463">cada</WORD>
<WORD coords="665,1464,828,1427,1463">vara.</WORD>
<WORD coords="886,1462,1039,1405,1461">Este</WORD>
<WORD coords="1099,1461,1247,1424,1459">caso</WORD>
<WORD coords="1298,1479,1617,1416,1459">pertenece</WORD>
<WORD coords="1676,1481,1817,1409,1468">(75)</WORD>
<WORD coords="1876,1460,1931,1406,1460">al</WORD>
<WORD coords="1994,1461,2115,1408,1456">4.°</WORD>
<WORD coords="2200,1464,2311,1427,1461">uso</WORD>
<WORD coords="2387,1460,2463,1409,1459">de</WORD>
<WORD coords="2526,1463,2580,1409,1461">la</WORD>
</LINE>
<LINE>
<WORD coords="232,1586,295,1516,1570">(¿i</WORD>
<WORD coords="311,1573,527,1519,1571">visión.</WORD>
<WORD coords="2342,1565,2411,1518,1564">13</WORD>
</LINE>
<LINE>
<WORD coords="345,1682,651,1623,1679">Reduzco</WORD>
<WORD coords="682,1678,735,1622,1677">el</WORD>
<WORD coords="770,1677,863,1620,1677">di-</WORD>
<WORD coords="1035,1678,1115,1624,1676">25</WORD>
<WORD coords="1136,1696,1235,1629,1674">ps.</WORD>
<WORD coords="1269,1673,1302,1623,1673">3</WORD>
<WORD coords="1334,1673,1419,1635,1672">rs.</WORD>
<WORD coords="1460,1674,1485,1624,1674">1</WORD>
<WORD coords="1523,1672,1670,1616,1671">med.</WORD>
<WORD coords="1712,1695,1724,1615,1684">\</WORD>
<WORD coords="1764,1671,1797,1623,1672">3</WORD>
<WORD coords="1830,1673,1918,1637,1672">vs.</WORD>
<WORD coords="1958,1674,1982,1624,1674">1</WORD>
<WORD coords="2019,1672,2170,1636,1671">cuar</WORD>
<WORD coords="2230,1682,2335,1647,1681">z=z</WORD>
<WORD coords="2369,1674,2408,1628,1674">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="226,1790,396,1734,1789">visor</WORD>
<WORD coords="444,1789,473,1735,1788">á</WORD>
<WORD coords="518,1787,604,1736,1786">las</WORD>
<WORD coords="658,1787,877,1729,1785">unida-</WORD>
<WORD coords="1451,1780,1492,1729,1774">4</WORD>
<WORD coords="2283,1770,2380,1758,1778">—</WORD>
<WORD coords="2542,1772,2572,1754,1772">-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="220,1896,330,1842,1895">des</WORD>
<WORD coords="379,1895,453,1838,1894">de</WORD>
<WORD coords="502,1912,741,1837,1891">especie</WORD>
<WORD coords="775,1891,863,1837,1891">in-</WORD>
<WORD coords="1035,1884,1046,1869,1891">■</WORD>
<WORD coords="1537,1874,1626,1862,1861">—</WORD>
<WORD coords="1638,1912,1685,1836,1902">~)</WORD>
<WORD coords="1729,1884,1796,1836,1883">13</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="224,2003,416,1941,2000">ferior</WORD>
<WORD coords="445,2011,459,1987,2003">,</WORD>
<WORD coords="515,1996,571,1944,1996">lo</WORD>
<WORD coords="623,2017,741,1961,1996">que</WORD>
<WORD coords="799,1997,879,1940,1996">da</WORD>
<WORD coords="1010,1996,1116,1944,1995">101</WORD>
<WORD coords="1140,2014,1237,1949,1993">ps.</WORD>
<WORD coords="1268,1992,1306,1941,1993">6</WORD>
<WORD coords="1331,1994,1410,1955,1994">rs*</WORD>
<WORD coords="1510,1995,1588,1953,1994">nu</WORD>
<WORD coords="1681,2016,1699,1936,2000">\</WORD>
<WORD coords="1775,1993,1806,1940,1993">7</WORD>
<WORD coords="1826,2014,1925,1950,1991">ps.</WORD>
<WORD coords="1959,1991,1996,1942,1992">6</WORD>
<WORD coords="2028,1993,2113,1957,1992">rs.</WORD>
<WORD coords="2148,1993,2171,1943,1993">1</WORD>
<WORD coords="2262,1991,2294,1942,1993">3</WORD>
<WORD coords="2330,1993,2567,1935,1990">medios,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="236,2109,307,2058,2106">13</WORD>
<WORD coords="337,2104,582,2058,2103">cuartas</WORD>
<WORD coords="617,2119,633,2091,2119">,</WORD>
<WORD coords="665,2122,703,2066,2121">y</WORD>
<WORD coords="737,2120,884,2065,2100">pon-</WORD>
<WORD coords="1058,2100,1148,2051,2099">10*</WORD>
<WORD coords="2237,2098,2309,2047,2097">13</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="223,2234,302,2177,2210">go</WORD>
<WORD coords="351,2212,403,2156,2211">al</WORD>
<WORD coords="439,2211,505,2159,2210">13</WORD>
<WORD coords="547,2224,650,2172,2207">por</WORD>
<WORD coords="687,2207,878,2152,2206">deno-</WORD>
<WORD coords="1091,2207,1125,2160,2207">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="218,2320,504,2261,2316">minador</WORD>
<WORD coords="533,2317,585,2259,2314">el</WORD>
<WORD coords="608,2316,666,2263,2314">4.</WORD>
<WORD coords="697,2314,866,2257,2314">Muí-</WORD>
<WORD coords="1174,2316,1264,2277,2315">rs»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="217,2439,429,2365,2420">tiplico</WORD>
<WORD coords="470,2435,576,2385,2420">por</WORD>
<WORD coords="615,2422,653,2372,2422">4</WORD>
<WORD coords="696,2423,874,2367,2421">todas</WORD>
<WORD coords="1085,2421,1120,2373,2421">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="215,2526,303,2470,2525">las</WORD>
<WORD coords="384,2530,686,2471,2528">unidades</WORD>
<WORD coords="759,2529,860,2473,2529">del</WORD>
<WORD coords="1073,2529,1110,2481,2529">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="214,2634,556,2575,2632">dividendo</WORD>
<WORD coords="585,2650,603,2622,2650">,</WORD>
<WORD coords="660,2653,870,2598,2635">empe-</WORD>
<WORD coords="1040,2635,1115,2583,2635">16</WORD>
<WORD coords="1162,2635,1321,2577,2634">med*-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="215,2744,419,2689,2742">zando</WORD>
<WORD coords="456,2762,565,2704,2741">por</WORD>
<WORD coords="618,2740,705,2686,2739">los</WORD>
<WORD coords="741,2742,838,2704,2741">me</WORD>
<WORD coords="1078,2740,1119,2690,2731">3-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="222,2851,361,2793,2849">dios</WORD>
<WORD coords="392,2872,428,2837,2872">r</WORD>
<WORD coords="445,2868,484,2815,2864">y</WORD>
<WORD coords="542,2856,924,2791,2847">reduriendp</WORD>
<WORD coords="984,2847,1073,2792,2846">les</WORD>
<WORD coords="1134,2848,1377,2792,2847">medios</WORD>
<WORD coords="1437,2849,1466,2793,2849">á</WORD>
<WORD coords="1525,2850,1721,2792,2848">reales</WORD>
<WORD coords="1848,2850,1949,2794,2849">fcs</WORD>
<WORD coords="1998,2848,2196,2789,2844">reates</WORD>
<WORD coords="2256,2842,2284,2787,2844">á</WORD>
<WORD coords="2347,2860,2526,2804,2839">p°sos</WORD>
<WORD coords="2556,2858,2578,2827,2858">,</WORD>
</LINE>
<LINE>
<WORD coords="216,2979,402,2909,2955">tengo</WORD>
<WORD coords="449,2957,505,2902,2957">el</WORD>
<WORD coords="555,2973,856,2903,2956">producto</WORD>
<WORD coords="927,2963,1031,2907,2959">1.01</WORD>
<WORD coords="1096,2977,1279,2915,2957">pesos.</WORD>
<WORD coords="1304,2964,1319,2942,2960">,</WORD>
<WORD coords="1359,2956,1392,2906,2956">6</WORD>
<WORD coords="1392,2950,1408,2929,2952">y</WORD>
<WORD coords="1445,2957,1636,2901,2955">reales</WORD>
<WORD coords="1649,2957,1657,2948,2955">,</WORD>
<WORD coords="1762,2955,1997,2899,2954">Divido</WORD>
<WORD coords="2058,2953,2160,2905,2952">101</WORD>
<WORD coords="2233,2965,2405,2912,2945">pesos</WORD>
<WORD coords="2463,2965,2572,2904,2944">por</WORD>
</LINE>
<LINE>
<WORD coords="219,3062,291,3014,3061">13</WORD>
<WORD coords="336,3075,352,3051,3075">,</WORD>
<WORD coords="430,3084,630,3027,3063">pongj</WORD>
<WORD coords="711,3065,765,3011,3064">el</WORD>
<WORD coords="825,3067,1100,3010,3063">cociente</WORD>
<WORD coords="1173,3065,1209,3014,3065">7</WORD>
<WORD coords="1296,3081,1475,3027,3063">pesos</WORD>
<WORD coords="1566,3081,1604,3027,3071">y</WORD>
<WORD coords="1696,3062,1791,3026,3061">me</WORD>
<WORD coords="1877,3059,2097,3006,3057">sobran</WORD>
<WORD coords="2192,3053,2263,3006,3054">10</WORD>
<WORD coords="2294,3064,2309,3016,3062">;</WORD>
<WORD coords="2400,3049,2568,3003,3047">estoa</WORD>
</LINE>
<LINE>
<WORD coords="214,3172,492,3118,3170">reduzco</WORD>
<WORD coords="540,3171,569,3120,3171">á</WORD>
<WORD coords="614,3171,808,3117,3170">reales</WORD>
<WORD coords="865,3191,903,3135,3181">y</WORD>
<WORD coords="963,3172,1142,3136,3171">sumo</WORD>
<WORD coords="1182,3170,1305,3135,3169">con,</WORD>
<WORD coords="1353,3168,1442,3118,3168">los</WORD>
<WORD coords="1493,3167,1529,3118,3167">6</WORD>
<WORD coords="1567,3181,1582,3158,3174">,</WORD>
<WORD coords="1630,3167,1689,3113,3166">lo</WORD>
<WORD coords="1758,3181,1877,3130,3164">que</WORD>
<WORD coords="1935,3164,2030,3129,3162">me</WORD>
<WORD coords="2086,3162,2161,3109,3160">da</WORD>
<WORD coords="2211,3160,2286,3108,3161">86</WORD>
<WORD coords="2348,3159,2571,3102,3153">reates:</WORD>
</LINE>
<LINE>
<WORD coords="220,3276,436,3220,3275">divido</WORD>
<WORD coords="489,3277,576,3222,3277">los</WORD>
<WORD coords="633,3277,827,3223,3276">reales</WORD>
<WORD coords="861,3281,874,3259,3281">,</WORD>
<WORD coords="915,3298,1118,3230,3273">pringo</WORD>
<WORD coords="1171,3275,1224,3221,3275">el</WORD>
<WORD coords="1284,3274,1559,3219,3273">cociente</WORD>
<WORD coords="1620,3270,1656,3221,3270">6</WORD>
<WORD coords="1719,3271,1910,3219,3269">reales</WORD>
<WORD coords="1947,3284,1962,3258,3284">,</WORD>
<WORD coords="2012,3288,2051,3233,3279">y</WORD>
<WORD coords="2103,3266,2196,3232,3265">me</WORD>
<WORD coords="2255,3264,2469,3212,3257">sobran</WORD>
<WORD coords="2513,3273,2574,3211,3265">8,</WORD>
</LINE>
<LINE>
<WORD coords="216,3401,334,3347,3383">que</WORD>
<WORD coords="397,3384,486,3329,3382">los</WORD>
<WORD coords="541,3385,816,3328,3383">reduzco</WORD>
<WORD coords="894,3382,967,3332,3381">16</WORD>
<WORD coords="1028,3383,1269,3329,3381">medios</WORD>
<WORD coords="1313,3399,1329,3351,3396">;</WORD>
<WORD coords="1398,3394,1564,3339,3376">parto</WORD>
<WORD coords="1633,3377,1723,3324,3376">los</WORD>
<WORD coords="1781,3379,2022,3319,3376">medios</WORD>
<WORD coords="2081,3391,2116,3338,3384">y</WORD>
<WORD coords="2182,3371,2275,3336,3370">me</WORD>
<WORD coords="2344,3369,2571,3320,3364">resulta</WORD>
</LINE>
<LINE>
<WORD coords="217,3491,242,3443,3489">1</WORD>
<WORD coords="325,3488,531,3434,3487">medio</WORD>
<WORD coords="561,3501,577,3478,3495">,</WORD>
<WORD coords="638,3490,766,3454,3489">mas</WORD>
<WORD coords="827,3488,858,3442,3488">3</WORD>
<WORD coords="912,3490,1238,3446,3487">trezeavos</WORD>
<WORD coords="1300,3486,1374,3435,3486">de</WORD>
<WORD coords="1435,3484,1640,3428,3483">medio</WORD>
<WORD coords="1696,3498,1813,3449,3482">que</WORD>
<WORD coords="1878,3479,1964,3434,3477">los</WORD>
<WORD coords="2020,3485,2361,3421,3474">desprecio.</WORD>
<WORD coords="2467,3470,2576,3415,3469">Di-</WORD>
</LINE>
<LINE>
<WORD coords="212,3618,289,3562,3592">go</WORD>
<WORD coords="368,3614,514,3562,3596">pues</WORD>
<WORD coords="550,3613,566,3585,3613">,</WORD>
<WORD coords="638,3613,757,3562,3597">que</WORD>
<WORD coords="809,3598,960,3543,3597">cada</WORD>
<WORD coords="1016,3598,1163,3560,3597">vara</WORD>
<WORD coords="1216,3596,1292,3540,3596">de</WORD>
<WORD coords="1366,3613,1523,3541,3591">paño</WORD>
<WORD coords="1582,3590,1757,3535,3589">costó</WORD>
<WORD coords="1817,3587,1838,3543,3588">7</WORD>
<WORD coords="1889,3607,2071,3542,3582">pesos</WORD>
<WORD coords="2108,3596,2122,3572,3592">,</WORD>
<WORD coords="2177,3580,2213,3531,3584">6</WORD>
<WORD coords="2279,3579,2308,3545,3578">r</WORD>
<WORD coords="2315,3578,2470,3524,3576">rules</WORD>
<WORD coords="2530,3593,2569,3538,3593">y</WORD>
</LINE>
<LINE>
<WORD coords="211,3707,419,3653,3705">medio.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="463,3834,737,3756,3811">Ejemplo</WORD>
<WORD coords="784,3812,904,3757,3807">2.°</WORD>
<WORD coords="1018,3835,1177,3757,3809">¿Con</WORD>
<WORD coords="1243,3809,1316,3756,3808">17</WORD>
<WORD coords="1369,3822,1543,3769,3803">pesos</WORD>
<WORD coords="1598,3803,1637,3757,3802">4</WORD>
<WORD coords="1686,3802,1879,3743,3800">reales</WORD>
<WORD coords="1908,3814,1926,3786,3807">,</WORD>
<WORD coords="1955,3797,2205,3749,3794">cuantas</WORD>
<WORD coords="2260,3790,2431,3752,3788">varas</WORD>
<WORD coords="2491,3785,2567,3732,3785">de</WORD>
</LINE>
<LINE>
<WORD coords="199,3938,357,3866,3916">paño</WORD>
<WORD coords="392,3918,454,3883,3918">se</WORD>
<WORD coords="515,3939,745,3863,3918">podran</WORD>
<WORD coords="778,3933,1065,3881,3918">comprar</WORD>
<WORD coords="1098,3922,1115,3907,3919">,</WORD>
<WORD coords="1147,3916,1447,3857,3913">costando</WORD>
<WORD coords="1505,3910,1558,3858,3909">ia</WORD>
<WORD coords="1617,3908,1760,3871,3907">vara</WORD>
<WORD coords="1823,3904,1847,3858,3907">3</WORD>
<WORD coords="2170,3897,2202,3847,3897">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="330,4030,481,3973,4029">Esta</WORD>
<WORD coords="510,4031,784,3970,4026">cuestión</WORD>
<WORD coords="822,4045,1142,3980,4024">pertenece</WORD>
<WORD coords="1195,4022,1251,3967,4020">al</WORD>
<WORD coords="1285,4043,1512,3968,4018">primer</WORD>
<WORD coords="1561,4019,1671,3982,4017">uso</WORD>
<WORD coords="1711,4015,1785,3960,4014">de</WORD>
<WORD coords="1817,4013,1871,3959,4012">lu</WORD>
<WORD coords="1905,4012,2110,3952,4008">üivUit</WORD>
<WORD coords="2140,4008,2174,3971,4013">□</WORD>
<WORD coords="2212,4030,2372,3954,4030">\J5)%</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0117.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0118.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0118.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1774,510,1992,414,508">108</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="699,633,993,557,614">equivale</WORD>
<WORD coords="1043,617,1074,559,623">á</WORD>
<WORD coords="1127,641,1460,563,620">averiguar</WORD>
<WORD coords="1505,624,1582,582,623">en</WORD>
<WORD coords="1640,630,1949,567,626">abstracto</WORD>
<WORD coords="1979,647,1999,618,641">,</WORD>
<WORD coords="2045,636,2302,586,634">cuantas</WORD>
<WORD coords="2356,639,2542,597,637">veces</WORD>
<WORD coords="2596,640,2632,588,640">3</WORD>
<WORD coords="2665,664,2770,593,644">ps.</WORD>
<WORD coords="2807,663,2829,630,655">,</WORD>
<WORD coords="2882,648,2924,588,648">6</WORD>
<WORD coords="2982,657,3073,608,650">r$.</WORD>
</LINE>
<LINE>
<WORD coords="701,720,851,664,718">cabe</WORD>
<WORD coords="904,720,979,683,720">en</WORD>
<WORD coords="1042,724,1115,668,727">17</WORD>
<WORD coords="1173,744,1264,687,723">ps.</WORD>
<WORD coords="1299,741,1318,711,739">,</WORD>
<WORD coords="1365,729,1409,678,733">4</WORD>
<WORD coords="1459,746,1566,688,726">rs¿</WORD>
<WORD coords="1632,751,1676,695,744">y</WORD>
<WORD coords="1721,733,1903,693,731">como</WORD>
<WORD coords="1951,737,1984,679,737">á</WORD>
<WORD coords="2039,740,2195,680,738">cada</WORD>
<WORD coords="2266,742,2378,703,741">vez</WORD>
<WORD coords="2441,760,2560,705,744">que</WORD>
<WORD coords="2621,749,2767,692,747">cabe</WORD>
<WORD coords="2826,755,3068,713,752">corres-</WORD>
</LINE>
<LINE>
<WORD coords="695,841,903,767,822">ponde</WORD>
<WORD coords="952,828,1069,788,827">una</WORD>
<WORD coords="1120,831,1261,792,830">vara</WORD>
<WORD coords="1292,844,1309,818,842">,</WORD>
<WORD coords="1367,834,1434,794,832">se</WORD>
<WORD coords="1503,838,1864,777,835">sustituirán</WORD>
<WORD coords="1919,841,2007,783,840">las</WORD>
<WORD coords="2067,846,2244,806,844">varas</WORD>
<WORD coords="2288,850,2367,812,849">en</WORD>
<WORD coords="2419,852,2506,795,851">las</WORD>
<WORD coords="2567,855,2875,797,853">unidades</WORD>
<WORD coords="2946,857,3053,794,855">del</WORD>
</LINE>
<LINE>
<WORD coords="699,936,1000,873,930">cociente.</WORD>
<WORD coords="1093,940,1527,880,937">Dividiremos</WORD>
<WORD coords="1590,961,1742,904,943">pues</WORD>
<WORD coords="1808,948,1884,893,947">17</WORD>
<WORD coords="1916,969,1996,899,946">ps</WORD>
<WORD coords="2027,965,2045,934,957">,</WORD>
<WORD coords="2073,949,2115,897,949">4</WORD>
<WORD coords="2164,954,2249,914,950">rs.</WORD>
<WORD coords="2299,975,2410,917,957">por</WORD>
<WORD coords="2455,956,2495,908,956">3</WORD>
<WORD coords="2530,981,2610,914,961">ps</WORD>
<WORD coords="2645,975,2664,944,966">,</WORD>
<WORD coords="2709,957,2750,905,957">6</WORD>
<WORD coords="2806,959,2895,920,958">r*.</WORD>
<WORD coords="2950,960,3060,921,959">co.</WORD>
</LINE>
<LINE>
<WORD coords="697,1038,801,998,1037">mo</WORD>
<WORD coords="853,1043,1069,981,1040">hemos</WORD>
<WORD coords="1122,1049,1437,993,1045">enseñado</WORD>
<WORD coords="1467,1068,1485,1018,1068">;</WORD>
<WORD coords="1534,1068,1572,1011,1061">y</WORD>
<WORD coords="1630,1051,1687,997,1051">el</WORD>
<WORD coords="1748,1059,2025,999,1055">cociente</WORD>
<WORD coords="2072,1058,2113,1007,1059">4</WORD>
<WORD coords="2255,1061,2289,1011,1061">2</WORD>
<WORD coords="2338,1066,2566,1009,1063">tercios</WORD>
<WORD coords="2622,1062,2702,1006,1062">de</WORD>
<WORD coords="2758,1082,2909,1023,1064">peso</WORD>
<WORD coords="2957,1067,3059,1026,1065">ac-</WORD>
</LINE>
<LINE>
<WORD coords="688,1142,757,1100,1141">ia</WORD>
<WORD coords="812,1165,985,1090,1146">igual</WORD>
<WORD coords="1041,1148,1071,1096,1154">á</WORD>
<WORD coords="1132,1150,1174,1099,1155">4</WORD>
<WORD coords="1235,1156,1423,1115,1154">varas</WORD>
<WORD coords="1455,1176,1474,1144,1168">,</WORD>
<WORD coords="1529,1158,1566,1108,1159">2</WORD>
<WORD coords="1624,1162,1848,1109,1159">tercias</WORD>
<WORD coords="1916,1184,2035,1127,1165">que</WORD>
<WORD coords="2082,1165,2149,1126,1164">se</WORD>
<WORD coords="2197,1184,2430,1109,1167">podran</WORD>
<WORD coords="2490,1188,2797,1131,1170">comprar.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="942,1263,1436,1197,1257">Demostración.</WORD>
<WORD coords="1529,1266,1610,1208,1266">El</WORD>
<WORD coords="1671,1270,1912,1209,1268">divisor</WORD>
<WORD coords="1943,1286,1963,1257,1286">,</WORD>
<WORD coords="2019,1291,2288,1214,1272">después</WORD>
<WORD coords="2364,1275,2444,1217,1274">de</WORD>
<WORD coords="2496,1277,2804,1220,1275">reducido</WORD>
<WORD coords="2857,1280,2892,1222,1280">á</WORD>
<WORD coords="2950,1281,3067,1239,1279">su»</WORD>
</LINE>
<LINE>
<WORD coords="687,1361,997,1299,1357">unidades</WORD>
<WORD coords="1059,1366,1383,1305,1363">inferiores</WORD>
<WORD coords="1423,1383,1522,1313,1376">Je</WORD>
<WORD coords="1571,1391,1870,1333,1373">ponemos</WORD>
<WORD coords="1923,1377,1999,1339,1376">en</WORD>
<WORD coords="2052,1397,2371,1323,1378">espresion</WORD>
<WORD coords="2423,1382,2501,1324,1381">de</WORD>
<WORD coords="2551,1401,2870,1323,1381">quebrado</WORD>
<WORD coords="2916,1383,3056,1325,1381">abs-</WORD>
</LINE>
<LINE>
<WORD coords="684,1463,883,1414,1461">tracto</WORD>
<WORD coords="911,1480,931,1452,1480">,</WORD>
<WORD coords="994,1484,1138,1429,1468">para</WORD>
<WORD coords="1197,1476,1469,1412,1472">facilitar</WORD>
<WORD coords="1520,1477,1577,1420,1476">el</WORD>
<WORD coords="1633,1483,1890,1423,1479">calculo.</WORD>
<WORD coords="1983,1484,2171,1425,1482">Todo</WORD>
<WORD coords="2237,1486,2298,1428,1485">lo</WORD>
<WORD coords="2357,1488,2572,1430,1487">demás</WORD>
<WORD coords="2625,1486,2755,1432,1485">está</WORD>
<WORD coords="2807,1505,2890,1448,1487">ya</WORD>
<WORD coords="2942,1488,3052,1430,1487">de-</WORD>
</LINE>
<LINE>
<WORD coords="684,1575,1010,1514,1569">mostrado</WORD>
<WORD coords="1062,1577,1139,1536,1576">tu</WORD>
<WORD coords="1187,1580,1246,1521,1579">el</WORD>
<WORD coords="1315,1600,1633,1523,1584">problema</WORD>
<WORD coords="1687,1613,1872,1531,1598">(128)</WORD>
<WORD coords="1917,1594,1996,1532,1593">de</WORD>
<WORD coords="2054,1596,2293,1534,1594">dividir</WORD>
<WORD coords="2349,1597,2430,1555,1596">un</WORD>
<WORD coords="2518,1599,2731,1549,1597">entero</WORD>
<WORD coords="2804,1618,2916,1555,1594">por</WORD>
<WORD coords="2967,1601,3057,1553,1601">uo</WORD>
</LINE>
<LINE>
<WORD coords="684,1694,1031,1618,1678">quebrado»</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0118.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0119.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0119.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="528,832,1840,620,824">PARTE</WORD>
<WORD coords="1928,828,2168,624,826">2.</WORD>
<WORD coords="2176,716,2248,652,716">a</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1248,987,1389,919,985">DE</WORD>
<WORD coords="1435,987,1567,917,986">LA</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="891,1214,1935,1113,1207">ARITMETICA.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="336,1530,898,1462,1525">BLEVACION</WORD>
<WORD coords="964,1524,1089,1465,1523">AL</WORD>
<WORD coords="1144,1531,1687,1466,1527">CUADRADO</WORD>
<WORD coords="1747,1532,1808,1470,1532">O</WORD>
<WORD coords="1872,1535,1969,1484,1524">2.a</WORD>
<WORD coords="2010,1547,2493,1475,1541">POTENCIA</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="668,1654,710,1610,1654">Y</WORD>
<WORD coords="758,1654,1187,1611,1653">ESTRA€CX0N</WORD>
<WORD coords="1238,1654,1326,1613,1654">DE</WORD>
<WORD coords="1379,1662,1469,1615,1659">LA</WORD>
<WORD coords="1518,1661,1689,1616,1659">RAIZ</WORD>
<WORD coords="1738,1671,2152,1619,1665">CUADRADA.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="262,1786,275,1776,1812">&quot;</WORD>
<WORD coords="305,1832,445,1777,1833">154,</WORD>
<WORD coords="533,1831,612,1770,1831">Se</WORD>
<WORD coords="661,1832,843,1773,1830">llama</WORD>
<WORD coords="876,1834,1199,1773,1832">Cuadrado</WORD>
<WORD coords="1257,1836,1290,1795,1836">o</WORD>
<WORD coords="1345,1856,1622,1781,1836">segunda</WORD>
<WORD coords="1665,1860,1947,1784,1840">potencia</WORD>
<WORD coords="1979,1844,2049,1785,1844">de</WORD>
<WORD coords="2100,1848,2177,1807,1847">un</WORD>
<WORD coords="2210,1850,2457,1809,1849">numero</WORD>
<WORD coords="2488,1865,2503,1838,1859">,</WORD>
<WORD coords="2534,1854,2593,1791,1852">el</WORD>
</LINE>
<LINE>
<WORD coords="220,1958,520,1879,1938">froducto</WORD>
<WORD coords="608,1962,723,1899,1936">que</WORD>
<WORD coords="780,1937,1014,1883,1936">resulta</WORD>
<WORD coords="1057,1937,1130,1881,1937">de</WORD>
<WORD coords="1190,1962,1564,1883,1940">multiplicar</WORD>
<WORD coords="1610,1947,1787,1888,1945">dicho</WORD>
<WORD coords="1846,1952,2094,1909,1950">numero</WORD>
<WORD coords="2151,1977,2268,1909,1956">por</WORD>
<WORD coords="2334,1956,2389,1906,1954">si</WORD>
<WORD coords="2450,1957,2591,1918,1955">mis-</WORD>
</LINE>
<LINE>
<WORD coords="224,2042,338,2002,2041">mo.</WORD>
<WORD coords="433,2042,554,1983,2040">Asi</WORD>
<WORD coords="588,2058,606,2027,2054">,</WORD>
<WORD coords="667,2042,717,1985,2041">si</WORD>
<WORD coords="761,2063,1108,1985,2043">multiplico</WORD>
<WORD coords="1155,2046,1191,1996,2048">2</WORD>
<WORD coords="1253,2064,1362,2008,2045">por</WORD>
<WORD coords="1412,2048,1452,2001,2049">2</WORD>
<WORD coords="1508,2050,1585,1992,2050">de</WORD>
<WORD coords="1640,2053,1769,2007,2052">esta</WORD>
<WORD coords="1816,2057,2021,2014,2055">suerte</WORD>
<WORD coords="2079,2079,2312,2009,2065">2^2</WORD>
<WORD coords="2364,2060,2473,2019,2060">=</WORD>
<WORD coords="2525,2086,2589,2013,2076">4,</WORD>
</LINE>
<LINE>
<WORD coords="226,2143,285,2088,2143">el</WORD>
<WORD coords="351,2145,393,2095,2151">4</WORD>
<WORD coords="445,2146,580,2107,2144">sera</WORD>
<WORD coords="622,2146,677,2091,2145">el</WORD>
<WORD coords="744,2149,1057,2093,2147">cuadrado</WORD>
<WORD coords="1121,2151,1161,2094,2154">ó</WORD>
<WORD coords="1217,2173,1493,2098,2152">segunda</WORD>
<WORD coords="1556,2175,1835,2102,2158">potencia</WORD>
<WORD coords="1895,2163,1972,2106,2162">de</WORD>
<WORD coords="2036,2164,2069,2117,2171">2</WORD>
<WORD coords="2096,2179,2113,2130,2170">;</WORD>
<WORD coords="2171,2170,2235,2131,2169">se</WORD>
<WORD coords="2296,2174,2434,2113,2171">dice</WORD>
<WORD coords="2492,2175,2587,2137,2174">se*</WORD>
</LINE>
<LINE>
<WORD coords="215,2272,434,2193,2250">gunda</WORD>
<WORD coords="463,2272,750,2200,2251">potencia</WORD>
<WORD coords="820,2254,921,2198,2253">del</WORD>
<WORD coords="973,2256,1012,2206,2259">2</WORD>
<WORD coords="1045,2270,1062,2242,2270">,</WORD>
<WORD coords="1116,2276,1350,2219,2258">porque</WORD>
<WORD coords="1409,2261,1538,2215,2259">este</WORD>
<WORD coords="1589,2265,1719,2209,2262">está</WORD>
<WORD coords="1774,2267,1889,2209,2266">dos</WORD>
<WORD coords="1945,2273,2125,2233,2270">veces</WORD>
<WORD coords="2195,2277,2275,2219,2276">de</WORD>
<WORD coords="2357,2279,2588,2220,2277">factor:</WORD>
</LINE>
<LINE>
<WORD coords="224,2355,320,2296,2355">La</WORD>
<WORD coords="377,2374,705,2301,2357">operación</WORD>
<WORD coords="755,2377,865,2321,2359">por</WORD>
<WORD coords="920,2362,1129,2304,2361">medio</WORD>
<WORD coords="1183,2364,1260,2308,2363">de</WORD>
<WORD coords="1317,2364,1377,2308,2363">la</WORD>
<WORD coords="1432,2384,1555,2326,2367">que</WORD>
<WORD coords="1613,2371,1678,2332,2370">se</WORD>
<WORD coords="1732,2395,1974,2315,2374">ejecuta</WORD>
<WORD coords="2035,2381,2170,2333,2379">esto</WORD>
<WORD coords="2206,2400,2224,2370,2392">,</WORD>
<WORD coords="2271,2385,2335,2347,2384">se</WORD>
<WORD coords="2393,2391,2577,2329,2386">llama</WORD>
</LINE>
<LINE>
<WORD coords="222,2462,528,2406,2460">elevación</WORD>
<WORD coords="601,2464,664,2408,2464">al</WORD>
<WORD coords="718,2469,1044,2411,2466">cuadrado.</WORD>
<WORD coords="1133,2470,1227,2411,2469">La</WORD>
<WORD coords="1279,2474,1599,2415,2471">elevación</WORD>
<WORD coords="1670,2477,1728,2421,2477">al</WORD>
<WORD coords="1787,2484,2101,2426,2481">cuadrado</WORD>
<WORD coords="2160,2489,2223,2453,2488">es</WORD>
<WORD coords="2283,2493,2364,2453,2491">un</WORD>
<WORD coords="2433,2496,2579,2453,2492">caso</WORD>
</LINE>
<LINE>
<WORD coords="221,2583,554,2509,2566">particular</WORD>
<WORD coords="599,2570,677,2513,2570">de</WORD>
<WORD coords="738,2572,795,2516,2571">la</WORD>
<WORD coords="850,2592,1335,2517,2574">multiplicación</WORD>
<WORD coords="1369,2590,1385,2565,2586">,</WORD>
<WORD coords="1416,2580,1488,2542,2579">en</WORD>
<WORD coords="1540,2600,1660,2543,2583">que</WORD>
<WORD coords="1707,2585,1797,2527,2583">los</WORD>
<WORD coords="1856,2591,1968,2531,2589">dos</WORD>
<WORD coords="1999,2595,2269,2532,2592">factores</WORD>
<WORD coords="2320,2598,2429,2560,2597">son</WORD>
<WORD coords="2465,2618,2575,2558,2599">por</WORD>
</LINE>
<LINE>
<WORD coords="219,2676,555,2618,2674">necesidad</WORD>
<WORD coords="603,2699,838,2621,2677">iguales</WORD>
<WORD coords="875,2694,891,2667,2694">,</WORD>
<WORD coords="943,2701,984,2643,2693">y</WORD>
<WORD coords="1030,2683,1094,2646,2682">es</WORD>
<WORD coords="1149,2683,1203,2628,2683">el</WORD>
<WORD coords="1262,2688,1463,2640,2686">tercer</WORD>
<WORD coords="1521,2691,1708,2635,2690">modo</WORD>
<WORD coords="1756,2695,1834,2637,2694">de</WORD>
<WORD coords="1895,2704,2240,2656,2698">aumentar.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="467,2785,547,2727,2784">Se</WORD>
<WORD coords="605,2788,744,2730,2785">dice</WORD>
<WORD coords="800,2792,940,2739,2788">raiz</WORD>
<WORD coords="1011,2794,1320,2736,2792">cuadrada</WORD>
<WORD coords="1363,2797,1395,2758,2797">o</WORD>
<WORD coords="1447,2820,1722,2746,2801">segunda</WORD>
<WORD coords="1772,2804,1843,2747,2804">de</WORD>
<WORD coords="1917,2811,1999,2767,2808">un</WORD>
<WORD coords="2056,2814,2299,2771,2812">numero</WORD>
<WORD coords="2331,2828,2349,2801,2828">,</WORD>
<WORD coords="2395,2840,2578,2759,2817">aquel</WORD>
</LINE>
<LINE>
<WORD coords="218,2889,358,2839,2887">Otro</WORD>
<WORD coords="409,2908,525,2853,2891">que</WORD>
<WORD coords="581,2913,993,2839,2893">multiplicado</WORD>
<WORD coords="1060,2918,1180,2854,2898">por</WORD>
<WORD coords="1234,2900,1291,2846,2900">si</WORD>
<WORD coords="1366,2907,1571,2848,2903">mismo</WORD>
<WORD coords="1612,2930,1927,2856,2910">produzca</WORD>
<WORD coords="1986,2915,2049,2860,2915">al</WORD>
<WORD coords="2091,2938,2361,2872,2921">primero</WORD>
<WORD coords="2401,2942,2420,2895,2938">;</WORD>
<WORD coords="2481,2934,2573,2875,2931">asi</WORD>
</LINE>
<LINE>
<WORD coords="215,2994,255,2943,3003">2</WORD>
<WORD coords="308,2995,377,2957,2995">es</WORD>
<WORD coords="427,2996,483,2940,2995">la</WORD>
<WORD coords="537,2998,664,2941,2997">raíz</WORD>
<WORD coords="719,3005,1031,2945,3001">cuadrada</WORD>
<WORD coords="1065,3006,1141,2951,3005">de</WORD>
<WORD coords="1194,3007,1234,2956,3010">4</WORD>
<WORD coords="1268,3027,1284,2978,3020">;</WORD>
<WORD coords="1330,3007,1365,2959,3010">5</WORD>
<WORD coords="1423,3011,1488,2973,3010">es</WORD>
<WORD coords="1548,3013,1601,2957,3013">*a</WORD>
<WORD coords="1659,3018,1793,2958,3015">raíz</WORD>
<WORD coords="1826,3023,2134,2965,3020">cuadrada</WORD>
<WORD coords="2192,3030,2267,2976,3029">de</WORD>
<WORD coords="2299,3043,2400,2982,3036">25,</WORD>
<WORD coords="2435,3049,2571,2997,3035">por-</WORD>
</LINE>
<LINE>
<WORD coords="213,3119,336,3063,3101">que</WORD>
<WORD coords="409,3101,446,3053,3113">5</WORD>
<WORD coords="504,3122,612,3067,3106">por</WORD>
<WORD coords="670,3105,707,3057,3112">5</WORD>
<WORD coords="761,3108,840,3051,3108">da</WORD>
<WORD coords="898,3112,994,3061,3113">25.</WORD>
<WORD coords="1096,3116,1251,3057,3115">Para</WORD>
<WORD coords="1316,3119,1555,3061,3117">indicar</WORD>
<WORD coords="1612,3141,1732,3086,3122">que</WORD>
<WORD coords="1779,3125,1860,3089,3124">un</WORD>
<WORD coords="1912,3130,2170,3091,3128">numero</WORD>
<WORD coords="2199,3147,2216,3121,3140">,</WORD>
<WORD coords="2275,3134,2334,3097,3133">v,</WORD>
<WORD coords="2387,3157,2445,3101,3150">g.</WORD>
<WORD coords="2503,3142,2542,3090,3142">2</WORD>
<WORD coords="2548,3157,2569,3127,3157">f</WORD>
</LINE>
<LINE>
<WORD coords="211,3208,278,3171,3208">se</WORD>
<WORD coords="331,3211,491,3151,3209">hade</WORD>
<WORD coords="541,3213,749,3158,3212">elevar</WORD>
<WORD coords="808,3215,864,3158,3215">al</WORD>
<WORD coords="920,3221,1236,3162,3219">cuadrado</WORD>
<WORD coords="1264,3239,1280,3210,3231">,</WORD>
<WORD coords="1320,3224,1385,3187,3224">se</WORD>
<WORD coords="1445,3227,1498,3170,3225">le</WORD>
<WORD coords="1550,3245,1706,3190,3226">pone</WORD>
<WORD coords="1757,3231,1836,3194,3231">un</WORD>
<WORD coords="1892,3233,1926,3185,3233">2</WORD>
<WORD coords="1983,3234,2010,3181,3234">á</WORD>
<WORD coords="2072,3236,2129,3179,3235">la</WORD>
<WORD coords="2186,3238,2449,3179,3236">derecha</WORD>
<WORD coords="2485,3244,2566,3204,3243">un</WORD>
</LINE>
<LINE>
<WORD coords="208,3334,365,3273,3314">poco</WORD>
<WORD coords="415,3318,681,3260,3317">elevado</WORD>
<WORD coords="712,3333,732,3307,3331">,</WORD>
<WORD coords="778,3322,856,3264,3321">de</WORD>
<WORD coords="914,3325,1045,3280,3324">esta</WORD>
<WORD coords="1104,3328,1309,3284,3327">suerte</WORD>
<WORD coords="1369,3330,1438,3276,3326">22</WORD>
<WORD coords="1476,3334,1489,3318,3334">.</WORD>
<WORD coords="1581,3335,1744,3276,3333">Para</WORD>
<WORD coords="1790,3341,2050,3281,3338">denotar</WORD>
<WORD coords="2087,3360,2204,3305,3342">que</WORD>
<WORD coords="2236,3342,2302,3305,3341">se</WORD>
<WORD coords="2363,3345,2441,3287,3344">ha</WORD>
<WORD coords="2476,3348,2558,3292,3346">de</WORD>
</LINE>
<LINE>
<WORD coords="202,3422,437,3378,3420">estraer</WORD>
<WORD coords="496,3424,550,3366,3423">la</WORD>
<WORD coords="607,3429,741,3370,3426">raíz</WORD>
<WORD coords="791,3431,1102,3374,3429">cuadrada</WORD>
<WORD coords="1160,3434,1240,3376,3433">de</WORD>
<WORD coords="1294,3436,1376,3397,3435">un</WORD>
<WORD coords="1415,3439,1669,3399,3437">numero</WORD>
<WORD coords="1702,3454,1721,3427,3454">t</WORD>
<WORD coords="1779,3442,1836,3404,3440">v.</WORD>
<WORD coords="1897,3464,1956,3408,3451">g.</WORD>
<WORD coords="2009,3447,2110,3390,3446">del</WORD>
<WORD coords="2169,3449,2209,3399,3449">4</WORD>
<WORD coords="2236,3463,2251,3438,3457">,</WORD>
<WORD coords="2284,3451,2347,3414,3450">se</WORD>
<WORD coords="2406,3469,2562,3415,3453">pone</WORD>
</LINE>
<LINE>
<WORD coords="199,3528,317,3487,3526">una</WORD>
<WORD coords="382,3528,434,3471,3528">V</WORD>
<WORD coords="475,3551,898,3490,3531">consonante,</WORD>
<WORD coords="944,3540,1192,3482,3537">tirando</WORD>
<WORD coords="1252,3542,1371,3505,3542">una</WORD>
<WORD coords="1422,3562,1568,3505,3542">raya</WORD>
<WORD coords="1622,3546,1699,3489,3545">de</WORD>
<WORD coords="1760,3547,1817,3492,3546">la</WORD>
<WORD coords="1896,3566,2105,3493,3549">pierna</WORD>
<WORD coords="2163,3573,2469,3498,3555">derecha,</WORD>
<WORD coords="2514,3579,2558,3522,3579">y</WORD>
</LINE>
<LINE>
<WORD coords="194,3649,503,3577,3632">poniendo</WORD>
<WORD coords="562,3662,784,3580,3637">debajo</WORD>
<WORD coords="838,3642,916,3587,3642">de</WORD>
<WORD coords="976,3644,1027,3588,3643">la</WORD>
<WORD coords="1083,3667,1231,3608,3644">raya</WORD>
<WORD coords="1289,3649,1344,3593,3648">el</WORD>
<WORD coords="1389,3652,1647,3611,3650">numero</WORD>
<WORD coords="1684,3667,1701,3640,3667">,</WORD>
<WORD coords="1757,3675,1911,3616,3654">cuya</WORD>
<WORD coords="1956,3659,2085,3603,3656">raiz</WORD>
<WORD coords="2138,3660,2203,3623,3659">se</WORD>
<WORD coords="2249,3661,2323,3625,3661">va</WORD>
<WORD coords="2367,3662,2396,3609,3662">á</WORD>
<WORD coords="2454,3665,2554,3627,3664">es-</WORD>
</LINE>
<LINE>
<WORD coords="190,3738,355,3689,3735">traer</WORD>
<WORD coords="387,3753,405,3726,3753">,</WORD>
<WORD coords="448,3741,525,3684,3741">de</WORD>
<WORD coords="571,3746,702,3702,3744">este</WORD>
<WORD coords="757,3749,948,3694,3747">modo</WORD>
<WORD coords="1015,3751,1115,3692,3751">V4</WORD>
<WORD coords="1145,3767,1163,3717,3760">;</WORD>
<WORD coords="1215,3754,1343,3710,3752">este</WORD>
<WORD coords="1407,3775,1584,3699,3753">signo</WORD>
<WORD coords="1636,3757,1703,3721,3757">se</WORD>
<WORD coords="1789,3765,1971,3705,3759">llama</WORD>
<WORD coords="2037,3782,2219,3707,3761">signo</WORD>
<WORD coords="2299,3770,2553,3710,3765">radical.</WORD>
</LINE>
<LINE>
<WORD coords="185,3842,277,3781,3841">La</WORD>
<WORD coords="339,3852,676,3793,3846">estraccion</WORD>
<WORD coords="730,3853,808,3795,3852">de</WORD>
<WORD coords="862,3853,913,3799,3851">ia</WORD>
<WORD coords="967,3858,1099,3798,3856">raiz</WORD>
<WORD coords="1162,3859,1471,3800,3857">cuadrada</WORD>
<WORD coords="1524,3860,1593,3823,3859">es</WORD>
<WORD coords="1651,3866,1948,3812,3862">contraria</WORD>
<WORD coords="2005,3867,2034,3813,3867">á</WORD>
<WORD coords="2108,3867,2160,3814,3867">la</WORD>
<WORD coords="2231,3871,2547,3814,3869">elevacioa</WORD>
</LINE>
<LINE>
<WORD coords="184,3945,243,3894,3945">al</WORD>
<WORD coords="300,3954,614,3897,3951">cuadrado</WORD>
<WORD coords="654,3974,673,3924,3974">;</WORD>
<WORD coords="723,3976,759,3921,3970">y</WORD>
<WORD coords="816,3959,994,3921,3958">como</WORD>
<WORD coords="1042,3961,1096,3906,3960">la</WORD>
<WORD coords="1145,3965,1459,3907,3962">elevación</WORD>
<WORD coords="1514,3966,1580,3929,3966">es</WORD>
<WORD coords="1625,3970,1705,3931,3969">un</WORD>
<WORD coords="1757,3970,1900,3933,3968">caso</WORD>
<WORD coords="1971,3991,2300,3919,3973">particular</WORD>
<WORD coords="2355,3972,2429,3918,3971">de</WORD>
<WORD coords="2490,3975,2547,3920,3972">la</WORD>
</LINE>
<LINE>
<WORD coords="190,4077,685,4002,4058">multiplicación</WORD>
<WORD coords="710,4082,729,4049,4072">,</WORD>
<WORD coords="771,4066,830,4007,4064">la</WORD>
<WORD coords="879,4069,1220,4011,4066">atracción</WORD>
<WORD coords="1295,4070,1429,4033,4066">sera</WORD>
<WORD coords="1480,4075,1560,4035,4074">un</WORD>
<WORD coords="1607,4079,1752,4037,4078">caso</WORD>
<WORD coords="1795,4100,2127,4023,4082">particular</WORD>
<WORD coords="2188,4085,2263,4025,4084">de</WORD>
<WORD coords="2327,4080,2383,4025,4080">la</WORD>
<WORD coords="2448,4083,2546,4023,4082">di*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1270,4198,1366,4118,4198">M</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0119.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0120.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0120.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1750,606,1998,512,593">110-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="670,713,874,654,712">visión</WORD>
<WORD coords="910,730,926,702,729">,</WORD>
<WORD coords="957,714,982,655,721">á</WORD>
<WORD coords="1054,735,1281,660,716">saber,</WORD>
<WORD coords="1340,720,1581,660,718">cuando</WORD>
<WORD coords="1637,721,1691,665,720">el</WORD>
<WORD coords="1756,727,2029,672,724">cociente</WORD>
<WORD coords="2088,750,2130,692,742">y</WORD>
<WORD coords="2194,734,2248,676,733">el</WORD>
<WORD coords="2305,736,2572,676,735">divisor^</WORD>
<WORD coords="2602,740,2717,691,736">s;oü</WORD>
<WORD coords="2776,765,3050,686,745">igua?eg¿</WORD>
</LINE>
<LINE>
<WORD coords="678,819,780,761,819">De</WORD>
<WORD coords="860,840,1003,765,820">aquí</WORD>
<WORD coords="1073,822,1135,787,821">es</WORD>
<WORD coords="1172,838,1190,812,838">,</WORD>
<WORD coords="1238,842,1355,787,823">que</WORD>
<WORD coords="1415,824,1468,772,823">la</WORD>
<WORD coords="1523,830,1863,775,827">estraccion</WORD>
<WORD coords="1926,834,2003,777,833">de</WORD>
<WORD coords="2073,839,2273,780,836">raices</WORD>
<WORD coords="2338,842,2404,798,841">és</WORD>
<WORD coords="2475,843,2531,789,842">el</WORD>
<WORD coords="2584,849,2783,800,845">tercer</WORD>
<WORD coords="2863,856,3052,799,854">modd</WORD>
</LINE>
<LINE>
<WORD coords="677,926,755,870,925">de</WORD>
<WORD coords="789,930,1140,870,925">disminuir.</WORD>
<WORD coords="1196,929,1391,874,928">Conao</WORD>
<WORD coords="1427,931,1515,877,930">los</WORD>
<WORD coords="1578,939,1924,879,936">cuadrados</WORD>
<WORD coords="1968,942,2044,884,941">de</WORD>
<WORD coords="2107,943,2197,887,942">los</WORD>
<WORD coords="2253,952,2543,908,947">números</WORD>
<WORD coords="2590,973,2821,894,953">dígitos</WORD>
<WORD coords="2880,964,3052,920,961">están</WORD>
</LINE>
<LINE>
<WORD coords="672,1034,748,995,1034">en</WORD>
<WORD coords="813,1033,867,979,1032">la</WORD>
<WORD coords="929,1034,1090,978,1033">tabla</WORD>
<WORD coords="1146,1056,1488,979,1035">pitagórica</WORD>
<WORD coords="1515,1052,1531,1028,1052">,</WORD>
<WORD coords="1587,1061,1631,1002,1054">y</WORD>
<WORD coords="1687,1043,1759,1007,1042">su</WORD>
<WORD coords="1805,1048,2150,985,1045">formación</WORD>
<WORD coords="2209,1052,2272,1016,1052">es</WORD>
<WORD coords="2313,1071,2460,1016,1053">muy</WORD>
<WORD coords="2513,1059,2670,998,1055">llana</WORD>
<WORD coords="2705,1073,2723,1028,1071">;</WORD>
<WORD coords="2775,1069,2983,1027,1065">vamos</WORD>
<WORD coords="3016,1075,3052,1019,1075">á</WORD>
</LINE>
<LINE>
<WORD coords="672,1141,968,1083,1138">observar</WORD>
<WORD coords="1004,1142,1058,1087,1141">la</WORD>
<WORD coords="1089,1145,1438,1083,1142">formación</WORD>
<WORD coords="1497,1149,1601,1089,1147">del</WORD>
<WORD coords="1639,1152,1966,1094,1150">Cuadrado</WORD>
<WORD coords="2019,1156,2098,1099,1155">de</WORD>
<WORD coords="2141,1157,2230,1102,1157">ios</WORD>
<WORD coords="2278,1163,2569,1121,1161">números</WORD>
<WORD coords="2626,1187,3043,1127,1170">compuestos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="834,1251,1355,1190,1247">Observaciones.</WORD>
<WORD coords="1489,1253,1541,1202,1245">1.</WORD>
<WORD coords="1566,1232,1607,1198,1261">«</WORD>
<WORD coords="1716,1256,1796,1199,1255">El</WORD>
<WORD coords="1843,1262,2144,1205,1259">cuadrado</WORD>
<WORD coords="2197,1264,2270,1208,1263">de</WORD>
<WORD coords="2310,1266,2392,1229,1266">un</WORD>
<WORD coords="2457,1271,2699,1231,1268">numero</WORD>
<WORD coords="2746,1297,2858,1237,1275">que</WORD>
<WORD coords="2910,1281,3049,1243,1280">con-</WORD>
</LINE>
<LINE>
<WORD coords="673,1358,835,1305,1355">tiene</WORD>
<WORD coords="882,1359,986,1302,1358">dos</WORD>
<WORD coords="1045,1373,1260,1313,1358">partes</WORD>
<WORD coords="1291,1377,1310,1349,1372">,</WORD>
<WORD coords="1357,1364,1414,1324,1364">v&lt;</WORD>
<WORD coords="1451,1382,1509,1327,1371">g.</WORD>
<WORD coords="1555,1367,1804,1308,1365">decenas</WORD>
<WORD coords="1853,1387,1894,1330,1379">y</WORD>
<WORD coords="1954,1371,2241,1314,1369">unidades</WORD>
<WORD coords="2280,1388,2297,1362,1380">,</WORD>
<WORD coords="2346,1372,2411,1337,1372">se</WORD>
<WORD coords="2468,1396,2751,1333,1375">compone</WORD>
<WORD coords="2803,1381,2873,1325,1380">de</WORD>
<WORD coords="2921,1386,3046,1339,1383">tres</WORD>
</LINE>
<LINE>
<WORD coords="669,1487,884,1419,1462">partes</WORD>
<WORD coords="919,1481,935,1453,1481">,</WORD>
<WORD coords="980,1490,1091,1427,1467">que</WORD>
<WORD coords="1122,1467,1229,1428,1466">son</WORD>
<WORD coords="1261,1467,1283,1432,1471">:</WORD>
<WORD coords="1314,1473,1620,1414,1469">cuadrado</WORD>
<WORD coords="1674,1474,1746,1417,1473">de</WORD>
<WORD coords="1789,1479,2040,1418,1475">decenas</WORD>
<WORD coords="2059,1495,2084,1448,1495">§</WORD>
<WORD coords="2115,1504,2294,1420,1480">duplo</WORD>
<WORD coords="2347,1490,2417,1424,1480">d?</WORD>
<WORD coords="2471,1492,2719,1427,1484">decenas</WORD>
<WORD coords="2734,1507,2863,1439,1486">¿por</WORD>
<WORD coords="2912,1490,3047,1450,1489">unu</WORD>
</LINE>
<LINE>
<WORD coords="672,1571,855,1511,1570">dades</WORD>
<WORD coords="884,1588,901,1552,1588">i</WORD>
<WORD coords="926,1592,968,1531,1585">y</WORD>
<WORD coords="1023,1575,1326,1516,1573">cuadrado</WORD>
<WORD coords="1378,1576,1448,1518,1575">de</WORD>
<WORD coords="1499,1584,1818,1519,1579">unidádes*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="927,1680,1062,1622,1679">Con</WORD>
<WORD coords="1119,1681,1323,1618,1679">efecto</WORD>
<WORD coords="1357,1697,1374,1669,1693">,</WORD>
<WORD coords="1418,1688,1782,1625,1685">cuadremos</WORD>
<WORD coords="1838,1690,1893,1634,1690">el</WORD>
<WORD coords="1947,1693,2024,1642,1692">23</WORD>
<WORD coords="2079,1714,2120,1657,1709">y</WORD>
<WORD coords="2178,1698,2580,1636,1697">observemos</WORD>
<WORD coords="2834,1704,2871,1655,1704">2</WORD>
<WORD coords="2919,1704,2955,1655,1704">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="676,1806,769,1721,1792">fos</WORD>
<WORD coords="822,1806,1157,1729,1786">productos</WORD>
<WORD coords="1214,1807,1508,1732,1788">parciales</WORD>
<WORD coords="1552,1792,1630,1734,1791">de</WORD>
<WORD coords="1691,1812,1810,1757,1795">que</WORD>
<WORD coords="1867,1796,1931,1759,1795">se</WORD>
<WORD coords="1991,1819,2296,1761,1799">compone</WORD>
<WORD coords="2353,1804,2407,1748,1803">el</WORD>
<WORD coords="2466,1809,2563,1758,1803">to*</WORD>
<WORD coords="2830,1811,2869,1762,1811">2</WORD>
<WORD coords="2915,1812,2957,1762,1812">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="672,1901,759,1834,1895">tal</WORD>
<WORD coords="789,1909,808,1879,1909">f</WORD>
<WORD coords="853,1893,893,1836,1899">ó</WORD>
<WORD coords="922,1898,1238,1836,1894">cuadrado</WORD>
<WORD coords="1282,1899,1424,1844,1898">529.</WORD>
<WORD coords="1485,1902,1563,1842,1901">El</WORD>
<WORD coords="1600,1900,1639,1849,1901">3</WORD>
<WORD coords="1670,1923,2155,1846,1903">multiplicamos</WORD>
<WORD coords="2192,1928,2301,1872,1908">por</WORD>
<WORD coords="2352,1908,2389,1859,1908">3</WORD>
<WORD coords="2414,1924,2430,1898,1918">,</WORD>
<WORD coords="2461,1912,2576,1873,1911">con</WORD>
<WORD coords="2772,1919,2806,1890,1919">u</WORD>
<WORD coords="2948,1909,2953,1893,1909">,</WORD>
<WORD coords="2952,1927,3011,1890,1927">m!</WORD>
<WORD coords="3021,1912,3031,1894,1912">,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="672,2012,734,1939,1999">ip</WORD>
<WORD coords="789,2017,907,1962,2000">que</WORD>
<WORD coords="961,2002,1017,1944,2001">le</WORD>
<WORD coords="1048,2006,1423,1942,2003">cuadramos</WORD>
<WORD coords="1449,2023,1466,1993,2023">,</WORD>
<WORD coords="1503,2027,1543,1970,2019">y</WORD>
<WORD coords="1595,2012,1873,1961,2010">tenemos</WORD>
<WORD coords="1906,2012,1943,1958,2012">9</WORD>
<WORD coords="1974,2019,2276,1958,2014">cuadrado</WORD>
<WORD coords="2336,2016,2405,1960,2015">de</WORD>
<WORD coords="2434,2017,2570,1960,2016">uní-</WORD>
<WORD coords="2825,2020,2861,1970,2020">6</WORD>
<WORD coords="2910,2025,2946,1972,2025">9</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="672,2112,881,2048,2107">dade^</WORD>
<WORD coords="973,2113,1055,2049,2111">Et</WORD>
<WORD coords="1108,2109,1141,2055,2114">3</WORD>
<WORD coords="1171,2122,1186,2097,2122">,</WORD>
<WORD coords="1218,2130,1337,2071,2112">que</WORD>
<WORD coords="1391,2120,1506,2076,2116">son</WORD>
<WORD coords="1567,2125,1869,2060,2118">unidades</WORD>
<WORD coords="1898,2136,1915,2107,2136">,</WORD>
<WORD coords="1947,2141,2433,2065,2120">multiplicamos</WORD>
<WORD coords="2464,2143,2576,2084,2122">por</WORD>
<WORD coords="2740,2126,2788,2078,2126">4</WORD>
<WORD coords="2828,2129,2864,2079,2129">6</WORD>
</LINE>
<LINE>
<WORD coords="668,2227,714,2169,2228">%</WORD>
<WORD coords="759,2227,1021,2163,2223">decenas</WORD>
<WORD coords="1057,2242,1079,2213,2242">f</WORD>
<WORD coords="1119,2247,1159,2187,2238">y</WORD>
<WORD coords="1209,2229,1488,2178,2227">tenemos</WORD>
<WORD coords="1545,2230,1601,2171,2229">el</WORD>
<WORD coords="1654,2245,1956,2174,2230">producto</WORD>
<WORD coords="2009,2231,2088,2174,2230">de</WORD>
<WORD coords="2144,2232,2406,2173,2230">decenas</WORD>
<WORD coords="2470,2249,2580,2194,2235">por</WORD>
<WORD coords="2710,2239,2947,2157,2236">™la~9</WORD>
</LINE>
<LINE>
<WORD coords="672,2333,982,2269,2330">iinidades</WORD>
<WORD coords="1008,2337,1023,2310,2337">t</WORD>
<WORD coords="1067,2351,1195,2293,2334">que</WORD>
<WORD coords="1236,2335,1303,2293,2334">es</WORD>
<WORD coords="1361,2337,1398,2281,2337">6</WORD>
<WORD coords="1430,2348,1444,2302,2348">;</WORD>
<WORD coords="1494,2355,1759,2278,2335">después</WORD>
<WORD coords="1816,2337,1874,2282,2336">el</WORD>
<WORD coords="1936,2358,2252,2281,2337">guarismo</WORD>
<WORD coords="2306,2339,2344,2290,2339">2</WORD>
<WORD coords="2392,2339,2656,2282,2337">decenas</WORD>
<WORD coords="2717,2343,2793,2286,2343">de</WORD>
<WORD coords="2842,2349,3034,2291,2346">deba*</WORD>
</LINE>
<LINE>
<WORD coords="658,2458,734,2396,2441">jo</WORD>
<WORD coords="776,2455,1251,2378,2437">multiplicamos</WORD>
<WORD coords="1294,2458,1405,2398,2441">por</WORD>
<WORD coords="1437,2443,1491,2385,2442">el</WORD>
<WORD coords="1551,2441,1586,2392,2443">3</WORD>
<WORD coords="1642,2444,1945,2386,2443">unidades</WORD>
<WORD coords="2000,2445,2076,2389,2444">de</WORD>
<WORD coords="2131,2444,2368,2388,2443">encima</WORD>
<WORD coords="2395,2460,2414,2423,2460">¿</WORD>
<WORD coords="2437,2465,2475,2407,2455">y</WORD>
<WORD coords="2524,2445,2635,2405,2444">nos</WORD>
<WORD coords="2679,2450,2855,2393,2447">viene</WORD>
<WORD coords="2889,2455,3035,2410,2451">otra</WORD>
</LINE>
<LINE>
<WORD coords="668,2556,710,2475,2556">%</WORD>
<WORD coords="768,2556,1069,2487,2542">producto</WORD>
<WORD coords="1120,2551,1385,2490,2547">decenas</WORD>
<WORD coords="1442,2565,1552,2506,2546">por</WORD>
<WORD coords="1614,2550,1917,2489,2548">unidades</WORD>
<WORD coords="1955,2564,1973,2518,2558">;</WORD>
<WORD coords="2028,2552,2067,2490,2552">é</WORD>
<WORD coords="2115,2553,2172,2495,2551">lo</WORD>
<WORD coords="2222,2570,2339,2516,2552">que</WORD>
<WORD coords="2399,2551,2462,2516,2551">es</WORD>
<WORD coords="2510,2551,2572,2496,2551">lo</WORD>
<WORD coords="2632,2555,2854,2498,2552">mismo</WORD>
<WORD coords="2885,2567,2898,2546,2562">,</WORD>
<WORD coords="2939,2558,3033,2514,2556">te*</WORD>
</LINE>
<LINE>
<WORD coords="665,2650,886,2587,2648">hemos</WORD>
<WORD coords="953,2668,1075,2592,2651">ao.|</WORD>
<WORD coords="1140,2657,1320,2615,2654">veces</WORD>
<WORD coords="1375,2654,1433,2598,2653">él</WORD>
<WORD coords="1498,2671,1802,2598,2653">producto</WORD>
<WORD coords="1861,2657,1939,2601,2656">de</WORD>
<WORD coords="1995,2659,2254,2603,2657">decenas</WORD>
<WORD coords="2309,2678,2417,2620,2657">por</WORD>
<WORD coords="2477,2658,2778,2601,2656">unidades</WORD>
<WORD coords="2809,2673,2824,2649,2668">,</WORD>
<WORD coords="2883,2663,2921,2626,2663">o</WORD>
<WORD coords="2966,2666,3029,2602,2661">eé</WORD>
</LINE>
<LINE>
<WORD coords="665,2774,844,2696,2757">duplo</WORD>
<WORD coords="897,2757,972,2702,2757">dé</WORD>
<WORD coords="1010,2760,1263,2700,2758">decenas</WORD>
<WORD coords="1304,2780,1431,2711,2759">por</WORD>
<WORD coords="1479,2761,1789,2703,2759">unidades.</WORD>
<WORD coords="1856,2764,2247,2706,2763">Finalmente</WORD>
<WORD coords="2281,2779,2296,2753,2779">,</WORD>
<WORD coords="2330,2784,2809,2703,2764">multiplicamos</WORD>
<WORD coords="2855,2767,2891,2721,2767">2</WORD>
<WORD coords="2925,2770,3006,2716,2769">de</WORD>
<WORD coords="3010,2771,3032,2750,2771">¿</WORD>
</LINE>
<LINE>
<WORD coords="666,2862,849,2820,2861">fctnas</WORD>
<WORD coords="894,2866,969,2801,2864">dé</WORD>
<WORD coords="1019,2887,1197,2807,2865">abajo</WORD>
<WORD coords="1246,2884,1355,2827,2864">por</WORD>
<WORD coords="1409,2867,1444,2813,2867">2</WORD>
<WORD coords="1500,2868,1762,2808,2866">decenas</WORD>
<WORD coords="1807,2868,1882,2809,2867">de</WORD>
<WORD coords="1939,2870,2141,2815,2868">arriba</WORD>
<WORD coords="2177,2883,2193,2856,2883">,</WORD>
<WORD coords="2253,2887,2369,2828,2874">qUe</WORD>
<WORD coords="2418,2871,2483,2836,2870">es</WORD>
<WORD coords="2530,2873,2877,2815,2870">cuadrarlas</WORD>
<WORD coords="2917,2890,2932,2859,2890">,</WORD>
</LINE>
<LINE>
<WORD coords="659,2971,773,2908,2970">feos</WORD>
<WORD coords="849,2973,931,2916,2972">da</WORD>
<WORD coords="1000,2974,1040,2910,2975">4</WORD>
<WORD coords="1113,2982,1415,2916,2973">cüadradp</WORD>
<WORD coords="1476,2974,1553,2918,2974">de</WORD>
<WORD coords="1602,2975,1870,2919,2974">decenas.</WORD>
<WORD coords="1965,2977,2165,2921,2976">Como</WORD>
<WORD coords="2233,2977,2319,2922,2976">las</WORD>
<WORD coords="2377,2981,2457,2924,2980">mi</WORD>
<WORD coords="2466,2980,2495,2933,2980">á</WORD>
<WORD coords="2502,2981,2556,2920,2981">«i</WORD>
<WORD coords="2566,2979,2628,2939,2977">as</WORD>
<WORD coords="2705,2979,2830,2934,2977">tres</WORD>
<WORD coords="2895,2990,3030,2943,2982">par-</WORD>
</LINE>
<LINE>
<WORD coords="666,3078,759,3005,3076">teé</WORD>
<WORD coords="807,3079,1179,3021,3077">sacaríamos</WORD>
<WORD coords="1277,3098,1525,3039,3080">aunque</WORD>
<WORD coords="1580,3082,1636,3030,3081">él</WORD>
<WORD coords="1694,3084,1952,3037,3082">número</WORD>
<WORD coords="2007,3087,2363,3008,3084">concibiese</WORD>
<WORD coords="2435,3087,2701,3025,3085">deceftas</WORD>
<WORD coords="2729,3098,2744,3077,3094">,</WORD>
<WORD coords="2818,3091,3032,3038,3089">cénte-</WORD>
</LINE>
<LINE>
<WORD coords="669,3188,777,3122,3184">ífés</WORD>
<WORD coords="798,3195,815,3167,3195">i</WORD>
<WORD coords="839,3185,1106,3128,3183">minares</WORD>
<WORD coords="1138,3189,1230,3128,3185">&amp;c</WORD>
<WORD coords="1268,3199,1284,3173,3199">,</WORD>
<WORD coords="1312,3200,1462,3150,3187">pues</WORD>
<WORD coords="1518,3190,1682,3128,3188">ellos</WORD>
<WORD coords="1734,3189,1824,3128,3188">tos</WORD>
<WORD coords="1886,3197,2448,3135,3191">confeideráriáma.s</WORD>
<WORD coords="2505,3193,2685,3154,3192">como</WORD>
<WORD coords="2740,3194,2813,3135,3193">de</WORD>
<WORD coords="2825,3195,2887,3158,3194">ce</WORD>
<WORD coords="2896,3199,2966,3157,3197">na</WORD>
<WORD coords="2977,3206,3036,3159,3201">34</WORD>
</LINE>
<LINE>
<WORD coords="673,3290,741,3232,3289">Ife</WORD>
<WORD coords="788,3293,1024,3230,3290">deducé</WORD>
<WORD coords="1089,3292,1143,3229,3292">k</WORD>
<WORD coords="1207,3293,1440,3234,3291">verdad</WORD>
<WORD coords="1495,3295,1571,3239,3294">de</WORD>
<WORD coords="1629,3295,1680,3242,3294">la</WORD>
<WORD coords="1738,3296,1842,3231,3294">cb~;</WORD>
<WORD coords="1870,3299,2165,3242,3295">•rvaciorh</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="926,3397,983,3345,3398">2.</WORD>
<WORD coords="1009,3374,1046,3341,3388">*</WORD>
<WORD coords="1155,3401,1240,3342,3399">El</WORD>
<WORD coords="1304,3402,1607,3345,3399">cuadrado</WORD>
<WORD coords="1675,3401,1747,3345,3401">de</WORD>
<WORD coords="1801,3403,2095,3347,3401">unidades</WORD>
<WORD coords="2157,3420,2509,3347,3401">primitivas</WORD>
<WORD coords="2569,3409,2877,3354,3406">Comienza</WORD>
<WORD coords="2940,3407,3007,3352,3406">de</WORD>
<WORD coords="3008,3415,3042,3350,3415">i</WORD>
</LINE>
<LINE>
<WORD coords="661,3523,905,3433,3497">primer</WORD>
<WORD coords="937,3521,1116,3444,3500">lugar</WORD>
<WORD coords="1149,3505,1219,3447,3504">de</WORD>
<WORD coords="1261,3529,1577,3450,3505">izquierda</WORD>
<WORD coords="1607,3528,1648,3461,3518">y</WORD>
<WORD coords="1702,3509,1775,3459,3509">ño</WORD>
<WORD coords="1825,3528,1982,3457,3506">pasa</WORD>
<WORD coords="2039,3509,2139,3450,3506">del</WORD>
<WORD coords="2176,3528,2441,3453,3507">segundo</WORD>
<WORD coords="2476,3522,2494,3473,3522">;</WORD>
<WORD coords="2532,3525,2759,3471,3509">porque</WORD>
<WORD coords="2816,3508,2864,3468,3508">e!</WORD>
<WORD coords="2906,3511,3031,3467,3510">Uié-</WORD>
</LINE>
<LINE>
<WORD coords="670,3606,787,3549,3604">hor</WORD>
<WORD coords="847,3609,1160,3548,3606">cuadrado</WORD>
<WORD coords="1236,3613,1312,3555,3612">di</WORD>
<WORD coords="1369,3613,1672,3549,3612">unidades</WORD>
<WORD coords="1730,3613,1793,3573,3612">es</WORD>
<WORD coords="1852,3616,1875,3560,3616">i</WORD>
<WORD coords="1917,3631,1985,3567,3622">#</WORD>
<WORD coords="2034,3614,2056,3555,3614">i</WORD>
<WORD coords="2119,3611,2229,3563,3610">stz</WORD>
<WORD coords="2273,3616,2297,3552,3616">i</WORD>
<WORD coords="2332,3632,2349,3597,3632">i</WORD>
<WORD coords="2395,3630,2512,3577,3612">que</WORD>
<WORD coords="2575,3615,2699,3564,3613">está</WORD>
<WORD coords="2758,3616,2830,3580,3615">en</WORD>
<WORD coords="2907,3626,3029,3557,3618">prt*</WORD>
</LINE>
<LINE>
<WORD coords="674,3722,810,3646,3714">íffcer</WORD>
<WORD coords="863,3733,1080,3649,3711">lugar,</WORD>
<WORD coords="1137,3738,1175,3675,3728">y</WORD>
<WORD coords="1224,3719,1294,3674,3717">su</WORD>
<WORD coords="1354,3738,1570,3672,3719">máyof</WORD>
<WORD coords="1644,3722,1951,3659,3720">cuadrado</WORD>
<WORD coords="2000,3719,2062,3673,3719">és</WORD>
<WORD coords="2126,3720,2161,3666,3720">9</WORD>
<WORD coords="2229,3732,2290,3674,3725">^</WORD>
<WORD coords="2365,3719,2401,3665,3718">9</WORD>
<WORD coords="2450,3717,2557,3668,3715">sis</WORD>
<WORD coords="2616,3721,2682,3674,3720">81</WORD>
<WORD coords="2725,3731,2738,3711,3731">,</WORD>
<WORD coords="2784,3739,2899,3678,3721">que</WORD>
<WORD coords="2951,3725,3031,3680,3725">m</WORD>
</LINE>
<LINE>
<WORD coords="882,3819,981,3755,3818">¿el</WORD>
<WORD coords="1032,3842,1309,3758,3820">seguido</WORD>
<WORD coords="1369,3846,1541,3768,3824">lugár</WORD>
<WORD coords="1573,3839,1590,3783,3839">j</WORD>
<WORD coords="1639,3849,1823,3768,3826">luego</WORD>
<WORD coords="1869,3828,1923,3778,3827">el</WORD>
<WORD coords="1970,3828,2284,3758,3826">cuadrado</WORD>
<WORD coords="2345,3829,2418,3775,3828">de</WORD>
<WORD coords="2478,3829,2778,3769,3825">unidades</WORD>
<WORD coords="2836,3847,3035,3774,3828">pUedé</WORD>
</LINE>
<LINE>
<WORD coords="676,3942,908,3873,3923">IDCépár</WORD>
<WORD coords="963,3930,1198,3866,3926">cuando</WORD>
<WORD coords="1248,3930,1374,3882,3929">más</WORD>
<WORD coords="1423,3931,1476,3877,3930">él</WORD>
<WORD coords="1535,3943,1763,3886,3931">primer</WORD>
<WORD coords="1822,3952,1925,3888,3938">púv</WORD>
<WORD coords="1983,3934,2056,3882,3934">de</WORD>
<WORD coords="2113,3956,2380,3871,3934">lugares,</WORD>
<WORD coords="2479,3936,2557,3868,3934">kt</WORD>
<WORD coords="2600,3934,2903,3873,3932">cuadrado</WORD>
<WORD coords="2963,3937,3035,3880,3936">dt</WORD>
</LINE>
<LINE>
<WORD coords="670,4032,925,3965,4028">Üecenas</WORD>
<WORD coords="956,4052,1226,3985,4031">tmpuza</WORD>
<WORD coords="1259,4040,1433,3977,4036">desde</WORD>
<WORD coords="1491,4037,1544,3979,4036">el</WORD>
<WORD coords="1595,4038,1787,3989,4036">tercer</WORD>
<WORD coords="1835,4064,2013,3983,4036">lugar</WORD>
<WORD coords="2065,4061,2106,3997,4051">y</WORD>
<WORD coords="2140,4042,2209,4005,4041">no</WORD>
<WORD coords="2253,4055,2405,3991,4042">pasa</WORD>
<WORD coords="2452,4045,2546,3991,4043">del</WORD>
<WORD coords="2595,4043,2803,3997,4040">coarto</WORD>
<WORD coords="2841,4054,2855,4012,4054">;</WORD>
<WORD coords="2897,4060,2924,3999,4048">p.</WORD>
<WORD coords="2977,4042,3031,4002,4042">r-</WORD>
</LINE>
<LINE>
<WORD coords="677,4157,802,4069,4137">i|ue</WORD>
<WORD coords="862,4139,917,4079,4138">ai</WORD>
<WORD coords="969,4144,1175,4094,4142">menta</WORD>
<WORD coords="1237,4146,1550,4080,4144">cuadrado</WORD>
<WORD coords="1599,4147,1676,4080,4147">de</WORD>
<WORD coords="1735,4172,1997,4086,4150">dtc^s</WORD>
<WORD coords="2053,4153,2121,4102,4152">fea</WORD>
<WORD coords="2169,4153,2247,4084,4153">ÍU</WORD>
<WORD coords="2294,4173,2365,4089,4162">^</WORD>
<WORD coords="2429,4152,2504,4094,4151">ítí</WORD>
<WORD coords="2554,4149,2658,4093,4148">tt¡</WORD>
<WORD coords="2719,4152,2835,4095,4151">i9D</WORD>
<WORD coords="2866,4170,2881,4135,4170">,</WORD>
<WORD coords="2915,4172,3031,4098,4152">c¿üi</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0120.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0121.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0121.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1330,638,1534,544,636">111</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="250,758,537,696,752">empieza</WORD>
<WORD coords="587,754,778,696,752">desde</WORD>
<WORD coords="836,754,890,697,753">el</WORD>
<WORD coords="936,754,1136,708,753">tercer</WORD>
<WORD coords="1181,778,1358,700,754">Jugar</WORD>
<WORD coords="1387,768,1402,745,768">,</WORD>
<WORD coords="1446,779,1485,723,770">y</WORD>
<WORD coords="1546,762,1616,723,760">su</WORD>
<WORD coords="1658,782,1873,723,759">ronyor</WORD>
<WORD coords="1919,763,2233,704,761">cuadrado</WORD>
<WORD coords="2386,773,2609,706,771">90X9Ó</WORD>
</LINE>
<LINE>
<WORD coords="239,854,348,816,858">=</WORD>
<WORD coords="385,878,579,809,863">8100,</WORD>
<WORD coords="646,877,763,823,859">que</WORD>
<WORD coords="818,859,896,823,858">no</WORD>
<WORD coords="940,876,1083,824,857">pasa</WORD>
<WORD coords="1154,859,1253,800,858">del</WORD>
<WORD coords="1326,862,1537,810,861">cuárto</WORD>
<WORD coords="1569,875,1584,829,875">;</WORD>
<WORD coords="1644,887,1825,812,864">lueg&gt;</WORD>
<WORD coords="1873,868,1925,819,866">el</WORD>
<WORD coords="1987,870,2258,813,868">curdrad</WORD>
<WORD coords="2285,867,2297,844,867">&gt;</WORD>
<WORD coords="2351,876,2421,819,875">de</WORD>
<WORD coords="2592,863,2606,858,863">-</WORD>
</LINE>
<LINE>
<WORD coords="255,967,437,929,964">cenas</WORD>
<WORD coords="494,964,735,908,963">cuando</WORD>
<WORD coords="786,966,914,928,964">mas</WORD>
<WORD coords="961,982,1160,909,964">puede</WORD>
<WORD coords="1194,982,1425,929,964">ocupar</WORD>
<WORD coords="1452,966,1501,916,964">él</WORD>
<WORD coords="1551,991,1828,916,971">segundo</WORD>
<WORD coords="1890,991,1994,939,972">par</WORD>
<WORD coords="2047,973,2120,920,973">de</WORD>
<WORD coords="2179,997,2439,922,976">tugare».</WORD>
<WORD coords="2490,981,2604,926,979">Del</WORD>
</LINE>
<LINE>
<WORD coords="249,1072,478,1018,1070">mismo</WORD>
<WORD coords="528,1072,719,1020,1071">modo</WORD>
<WORD coords="782,1072,1329,1015,1069">demostraríamos</WORD>
<WORD coords="1366,1088,1382,1061,1088">,</WORD>
<WORD coords="1422,1093,1538,1040,1075">que</WORD>
<WORD coords="1588,1075,1641,1022,1074">el</WORD>
<WORD coords="1692,1084,2008,1025,1078">cuadrado</WORD>
<WORD coords="2055,1083,2128,1029,1083">de</WORD>
<WORD coords="2190,1084,2469,1042,1082">centenas</WORD>
<WORD coords="2507,1082,2604,1051,1081">co-</WORD>
</LINE>
<LINE>
<WORD coords="242,1180,491,1121,1177">mienza</WORD>
<WORD coords="549,1178,743,1123,1177">desde</WORD>
<WORD coords="798,1178,850,1125,1176">el</WORD>
<WORD coords="909,1197,1124,1124,1177">quinta</WORD>
<WORD coords="1180,1198,1353,1132,1177">&apos;ugar</WORD>
<WORD coords="1406,1199,1463,1135,1175">y*</WORD>
<WORD coords="1485,1180,1561,1145,1180">no</WORD>
<WORD coords="1624,1199,1764,1146,1181">pasa</WORD>
<WORD coords="1814,1186,1910,1131,1185">del</WORD>
<WORD coords="1973,1188,2135,1145,1186">sesto</WORD>
<WORD coords="2217,1190,2252,1137,1190">ó</WORD>
<WORD coords="2307,1208,2421,1156,1190">que</WORD>
<WORD coords="2464,1205,2607,1155,1190">pue-</WORD>
</LINE>
<LINE>
<WORD coords="241,1285,322,1226,1284">de</WORD>
<WORD coords="383,1298,613,1245,1282">ocupar</WORD>
<WORD coords="669,1285,911,1228,1283">cuando</WORD>
<WORD coords="970,1285,1099,1249,1284">mas</WORD>
<WORD coords="1146,1286,1199,1235,1285">el</WORD>
<WORD coords="1252,1288,1450,1240,1285">tercer</WORD>
<WORD coords="1504,1308,1611,1248,1286">par</WORD>
<WORD coords="1647,1302,1664,1255,1302">;</WORD>
<WORD coords="1729,1309,1845,1254,1290">que</WORD>
<WORD coords="1892,1293,1948,1239,1292">el</WORD>
<WORD coords="2009,1296,2321,1241,1294">cuadrado</WORD>
<WORD coords="2378,1294,2451,1243,1294">de</WORD>
<WORD coords="2493,1295,2605,1261,1294">mi-</WORD>
</LINE>
<LINE>
<WORD coords="250,1390,430,1333,1389">liares</WORD>
<WORD coords="460,1407,482,1380,1404">,</WORD>
<WORD coords="524,1401,635,1334,1390">%c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,1495,546,1444,1489">3.</WORD>
<WORD coords="574,1481,611,1440,1503">*</WORD>
<WORD coords="721,1498,804,1442,1497">El</WORD>
<WORD coords="856,1521,1033,1441,1499">dupio</WORD>
<WORD coords="1088,1499,1158,1443,1499">de</WORD>
<WORD coords="1212,1503,1463,1444,1501">decenas</WORD>
<WORD coords="1541,1525,1657,1460,1502">por</WORD>
<WORD coords="1712,1505,2001,1443,1503">unidades</WORD>
<WORD coords="2082,1509,2309,1451,1506">citando</WORD>
<WORD coords="2405,1509,2603,1472,1508">menos</WORD>
</LINE>
<LINE>
<WORD coords="247,1625,501,1558,1604">espresa</WORD>
<WORD coords="553,1607,804,1551,1605">decenas</WORD>
<WORD coords="838,1624,853,1597,1624">,</WORD>
<WORD coords="909,1626,947,1570,1626">y</WORD>
<WORD coords="1017,1628,1133,1563,1606">por</WORD>
<WORD coords="1188,1611,1240,1555,1610">lo</WORD>
<WORD coords="1323,1613,1528,1560,1611">mismo</WORD>
<WORD coords="1603,1618,1909,1562,1615">comienza</WORD>
<WORD coords="1982,1619,2157,1562,1616">desde</WORD>
<WORD coords="2213,1615,2267,1560,1614">el</WORD>
<WORD coords="2338,1634,2607,1561,1613">segundo</WORD>
</LINE>
<LINE>
<WORD coords="241,1730,423,1653,1709">lugar</WORD>
<WORD coords="447,1728,474,1698,1723">^</WORD>
<WORD coords="531,1714,823,1656,1712">contando</WORD>
<WORD coords="876,1717,946,1661,1716">de</WORD>
<WORD coords="1014,1719,1270,1660,1716">derecha</WORD>
<WORD coords="1319,1720,1355,1685,1720">a</WORD>
<WORD coords="1410,1744,1772,1667,1720">izquierda;</WORD>
<WORD coords="1837,1740,2065,1686,1721">porque</WORD>
<WORD coords="2121,1724,2173,1672,1723">el</WORD>
<WORD coords="2212,1726,2420,1689,1724">menor</WORD>
<WORD coords="2485,1727,2600,1674,1726">du-</WORD>
</LINE>
<LINE>
<WORD coords="241,1840,343,1766,1817">plo</WORD>
<WORD coords="393,1819,472,1762,1818">de</WORD>
<WORD coords="531,1821,795,1764,1818">decenas</WORD>
<WORD coords="846,1841,953,1787,1820">por</WORD>
<WORD coords="1011,1826,1313,1768,1823">unidades</WORD>
<WORD coords="1378,1826,1443,1791,1825">es</WORD>
<WORD coords="1497,1845,1632,1777,1832">2^</WORD>
<WORD coords="1689,1828,1761,1780,1826">10</WORD>
<WORD coords="1792,1822,1894,1787,1823">=</WORD>
<WORD coords="1924,1827,1999,1779,1831">20</WORD>
<WORD coords="2024,1841,2039,1818,1841">,</WORD>
<WORD coords="2077,1848,2193,1794,1829">que</WORD>
<WORD coords="2255,1830,2361,1796,1829">son</WORD>
<WORD coords="2410,1829,2443,1784,1829">2</WORD>
<WORD coords="2493,1829,2604,1776,1828">de-</WORD>
</LINE>
<LINE>
<WORD coords="240,1929,445,1891,1927">cenas.</WORD>
<WORD coords="546,1927,623,1872,1926">El</WORD>
<WORD coords="682,1945,872,1873,1928">duplo</WORD>
<WORD coords="915,1930,991,1874,1929">de</WORD>
<WORD coords="1054,1931,1347,1888,1929">centenas</WORD>
<WORD coords="1395,1951,1507,1895,1931">por</WORD>
<WORD coords="1562,1932,1828,1878,1931">decenas</WORD>
<WORD coords="1869,1947,1883,1922,1940">,</WORD>
<WORD coords="1941,1934,2181,1880,1933">cuando</WORD>
<WORD coords="2240,1937,2449,1894,1936">mtn^s</WORD>
<WORD coords="2505,1935,2598,1902,1935">es-</WORD>
</LINE>
<LINE>
<WORD coords="237,2053,415,1995,2033">presa</WORD>
<WORD coords="476,2032,747,1977,2031">millares</WORD>
<WORD coords="782,2048,799,2021,2048">,</WORD>
<WORD coords="866,2053,903,1998,2052">y</WORD>
<WORD coords="979,2052,1085,1998,2033">por</WORD>
<WORD coords="1141,2057,1568,1981,2035">consiguiente</WORD>
<WORD coords="1629,2040,1948,1984,2037">comienza</WORD>
<WORD coords="2008,2042,2212,1985,2039">desde</WORD>
<WORD coords="2275,2041,2329,1988,2040">el</WORD>
<WORD coords="2392,2041,2605,2000,2039">coaita</WORD>
</LINE>
<LINE>
<WORD coords="229,2156,409,2084,2137">lugar</WORD>
<WORD coords="445,2152,460,2106,2152">;</WORD>
<WORD coords="510,2158,739,2104,2138">porque</WORD>
<WORD coords="792,2141,827,2093,2142">2</WORD>
<WORD coords="860,2158,927,2087,2150">&gt;&lt;</WORD>
<WORD coords="967,2141,1077,2093,2141">100</WORD>
<WORD coords="1104,2163,1173,2088,2163">X</WORD>
<WORD coords="1209,2141,1279,2093,2140">10</WORD>
<WORD coords="1312,2138,1414,2126,2141">—</WORD>
<WORD coords="1453,2143,1612,2094,2142">2000</WORD>
<WORD coords="1646,2159,1660,2113,2151">;</WORD>
<WORD coords="1719,2144,1770,2090,2144">él</WORD>
<WORD coords="1830,2163,2019,2090,2143">duplo</WORD>
<WORD coords="2055,2147,2130,2090,2146">de</WORD>
<WORD coords="2164,2150,2449,2104,2146">centenas</WORD>
<WORD coords="2486,2163,2596,2111,2144">por</WORD>
</LINE>
<LINE>
<WORD coords="234,2244,507,2187,2242">millares</WORD>
<WORD coords="560,2247,884,2189,2244">comienza</WORD>
<WORD coords="943,2248,1135,2192,2246">desde</WORD>
<WORD coords="1199,2249,1252,2195,2247">el</WORD>
<WORD coords="1301,2249,1466,2204,2247">sesto</WORD>
<WORD coords="1522,2269,1720,2194,2248">lugar.</WORD>
<WORD coords="1813,2252,1909,2195,2251">En</WORD>
<WORD coords="1963,2271,2207,2201,2250">general</WORD>
<WORD coords="2244,2256,2330,2203,2255">ios</WORD>
<WORD coords="2365,2276,2591,2196,2256">duplo*</WORD>
</LINE>
<LINE>
<WORD coords="228,2350,591,2293,2348">comienzan</WORD>
<WORD coords="659,2352,850,2294,2349">desde</WORD>
<WORD coords="917,2354,972,2299,2353">el</WORD>
<WORD coords="1054,2375,1336,2302,2354">segundo</WORD>
<WORD coords="1393,2380,1565,2303,2357">lugar</WORD>
<WORD coords="1625,2359,1727,2302,2358">del</WORD>
<WORD coords="1782,2378,1889,2320,2356">par</WORD>
<WORD coords="1922,2376,1938,2347,2375">,</WORD>
<WORD coords="2000,2375,2117,2322,2356">que</WORD>
<WORD coords="2175,2373,2596,2308,2359">corresponde</WORD>
</LINE>
<LINE>
<WORD coords="231,2452,287,2401,2450">ál</WORD>
<WORD coords="329,2457,644,2400,2455">cuadrado</WORD>
<WORD coords="709,2457,783,2400,2456">de</WORD>
<WORD coords="844,2457,930,2402,2457">las</WORD>
<WORD coords="990,2462,1290,2405,2461">unidades</WORD>
<WORD coords="1325,2478,1341,2450,2478">,</WORD>
<WORD coords="1372,2481,1478,2424,2463">por</WORD>
<WORD coords="1522,2484,1777,2409,2463">quienes</WORD>
<WORD coords="1843,2467,1908,2428,2466">se</WORD>
<WORD coords="1969,2485,2311,2408,2465">multiplica</WORD>
<WORD coords="2370,2467,2422,2413,2466">el</WORD>
<WORD coords="2487,2472,2601,2411,2470">du,-</WORD>
</LINE>
<LINE>
<WORD coords="230,2585,332,2508,2563">plo</WORD>
<WORD coords="367,2562,442,2508,2562">de</WORD>
<WORD coords="502,2562,588,2508,2561">las</WORD>
<WORD coords="647,2563,807,2521,2561">otras</WORD>
<WORD coords="864,2566,1167,2510,2565">unidades</WORD>
<WORD coords="1228,2585,1597,2515,2569">superiores.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="317,2673,453,2622,2672">155»</WORD>
<WORD coords="552,2674,920,2616,2672">Problema:</WORD>
<WORD coords="1009,2676,1270,2619,2674">Estraer</WORD>
<WORD coords="1314,2677,1370,2625,2676">la</WORD>
<WORD coords="1429,2682,1567,2643,2680">raíz</WORD>
<WORD coords="1624,2682,1929,2624,2680">cuadrada</WORD>
<WORD coords="1984,2682,2052,2626,2681">de</WORD>
<WORD coords="2107,2684,2186,2645,2683">un</WORD>
<WORD coords="2245,2681,2510,2643,2680">numero.</WORD>
</LINE>
<LINE>
<WORD coords="476,2780,855,2717,2777">Resolución.</WORD>
<WORD coords="943,2783,990,2731,2782">\é</WORD>
<WORD coords="1161,2781,1231,2728,2781">EA</WORD>
<WORD coords="1275,2786,1587,2729,2784">cuadrado</WORD>
<WORD coords="1626,2800,1642,2775,2793">,</WORD>
<WORD coords="1699,2787,1734,2734,2787">ó</WORD>
<WORD coords="1798,2807,2149,2735,2787">cualquiera</WORD>
<WORD coords="2202,2788,2454,2751,2785">numero</WORD>
<WORD coords="2492,2785,2611,2731,2785">da-</WORD>
</LINE>
<LINE>
<WORD coords="226,2885,308,2822,2883">do</WORD>
<WORD coords="342,2899,357,2872,2894">,</WORD>
<WORD coords="416,2883,480,2848,2882">se</WORD>
<WORD coords="540,2884,749,2832,2883">coloca</WORD>
<WORD coords="802,2886,833,2830,2887">á</WORD>
<WORD coords="877,2886,934,2831,2885">la</WORD>
<WORD coords="989,2906,1313,2830,2887">izquierda</WORD>
<WORD coords="1339,2905,1355,2879,2905">,</WORD>
<WORD coords="1393,2914,1429,2858,2902">y</WORD>
<WORD coords="1479,2891,1507,2837,2891">á</WORD>
<WORD coords="1558,2893,1629,2856,2893">su</WORD>
<WORD coords="1685,2893,1946,2837,2892">derecha</WORD>
<WORD coords="2001,2893,2087,2840,2892">las</WORD>
<WORD coords="2145,2913,2320,2856,2891">rayas</WORD>
<WORD coords="2367,2890,2438,2836,2890">de</WORD>
<WORD coords="2503,2890,2600,2835,2890">di-</WORD>
</LINE>
<LINE>
<WORD coords="225,2993,388,2935,2990">Viuir</WORD>
<WORD coords="424,2998,438,2957,2998">;</WORD>
<WORD coords="495,3010,883,2937,2991">empezando</WORD>
<WORD coords="931,2993,1006,2939,2993">de</WORD>
<WORD coords="1068,2998,1333,2942,2996">derecha</WORD>
<WORD coords="1369,3014,1384,2987,3006">,</WORD>
<WORD coords="1420,2999,1483,2964,2998">se</WORD>
<WORD coords="1543,3006,1798,2963,2997">separan</WORD>
<WORD coords="1851,3002,1961,2962,2999">con</WORD>
<WORD coords="2024,3002,2232,2962,3000">comas</WORD>
<WORD coords="2293,3004,2375,2944,2999">los</WORD>
<WORD coords="2437,3020,2590,2959,3000">gu*»</WORD>
</LINE>
<LINE>
<WORD coords="186,3099,445,3042,3097">mismos</WORD>
<WORD coords="490,3097,561,3056,3096">en</WORD>
<WORD coords="598,3114,884,3036,3097">períodos</WORD>
<WORD coords="945,3102,1020,3046,3101">de</WORD>
<WORD coords="1082,3100,1108,3065,3100">a</WORD>
<WORD coords="1143,3102,1254,3046,3101">dos</WORD>
<WORD coords="1290,3113,1301,3091,3113">,</WORD>
<WORD coords="1334,3120,1575,3068,3101">aunque</WORD>
<WORD coords="1617,3102,1687,3069,3101">en</WORD>
<WORD coords="1736,3103,1789,3049,3102">el</WORD>
<WORD coords="1842,3105,2058,3049,3103">ultimo</WORD>
<WORD coords="2122,3125,2337,3050,3103">pe-ríod</WORD>
<WORD coords="2362,3103,2374,3080,3103">&gt;</WORD>
<WORD coords="2440,3123,2587,3068,3104">que-</WORD>
</LINE>
<LINE>
<WORD coords="224,3201,299,3146,3200">de</WORD>
<WORD coords="355,3201,483,3149,3200">solo</WORD>
<WORD coords="540,3204,618,3168,3203">un</WORD>
<WORD coords="672,3226,1012,3150,3204">guarismo.</WORD>
<WORD coords="1051,3207,1102,3155,3206">2.</WORD>
<WORD coords="1218,3208,1476,3152,3206">Hállese</WORD>
<WORD coords="1533,3226,1639,3172,3208">por</WORD>
<WORD coords="1684,3208,1735,3150,3208">la</WORD>
<WORD coords="1784,3210,1941,3157,3208">tabla</WORD>
<WORD coords="1979,3231,2312,3157,3209">pitagórica</WORD>
<WORD coords="2364,3209,2412,3156,3209">la</WORD>
<WORD coords="2467,3210,2595,3158,3208">raíz</WORD>
</LINE>
<LINE>
<WORD coords="221,3309,536,3251,3306">cuadrada</WORD>
<WORD coords="587,3310,786,3263,3308">esactá</WORD>
<WORD coords="835,3312,870,3259,3313">ó</WORD>
<WORD coords="924,3330,1233,3257,3311">próesima</WORD>
<WORD coords="1282,3314,1354,3259,3313">de</WORD>
<WORD coords="1400,3313,1456,3250,3313">la</WORD>
<WORD coords="1504,3334,1768,3259,3313">primera</WORD>
<WORD coords="1813,3316,2083,3261,3314">división</WORD>
<WORD coords="2118,3319,2191,3263,3317">de</WORD>
<WORD coords="2237,3333,2590,3264,3317">izquierda;</WORD>
</LINE>
<LINE>
<WORD coords="220,3414,282,3369,3413">fes</WORD>
<WORD coords="338,3415,507,3361,3414">decir</WORD>
<WORD coords="543,3431,557,3405,3431">,</WORD>
<WORD coords="608,3434,921,3357,3418">b.ú-quese</WORD>
<WORD coords="978,3421,1057,3385,3419">un</WORD>
<WORD coords="1121,3421,1378,3380,3419">numero</WORD>
<WORD coords="1432,3439,1549,3385,3420">que</WORD>
<WORD coords="1624,3438,2051,3367,3420">multiplicado</WORD>
<WORD coords="2115,3440,2219,3388,3421">por</WORD>
<WORD coords="2278,3424,2328,3368,3422">sí</WORD>
<WORD coords="2380,3437,2393,3416,3437">,</WORD>
<WORD coords="2451,3441,2591,3389,3422">pro-</WORD>
</LINE>
<LINE>
<WORD coords="216,3523,421,3467,3521">duzca</WORD>
<WORD coords="477,3524,678,3478,3521">e-acta</WORD>
<WORD coords="732,3526,771,3472,3526">Ó</WORD>
<WORD coords="830,3544,1345,3464,3526">procsimameníe</WORD>
<WORD coords="1405,3526,1459,3476,3525">el</WORD>
<WORD coords="1520,3526,1776,3490,3525">numero</WORD>
<WORD coords="1840,3545,1957,3492,3526">que</WORD>
<WORD coords="2020,3528,2153,3479,3527">está</WORD>
<WORD coords="2218,3530,2289,3494,3529">en</WORD>
<WORD coords="2352,3530,2402,3478,3528">el</WORD>
<WORD coords="2467,3546,2584,3475,3527">pri-</WORD>
</LINE>
<LINE>
<WORD coords="226,3627,359,3589,3626">mer</WORD>
<WORD coords="419,3645,563,3573,3626">pe?í&apos;</WORD>
<WORD coords="597,3628,676,3574,3628">do</WORD>
<WORD coords="739,3651,1122,3576,3632">izquierdo;</WORD>
<WORD coords="1183,3650,1360,3581,3633">aquel</WORD>
<WORD coords="1424,3634,1682,3591,3631">numero</WORD>
<WORD coords="1744,3635,1778,3580,3634">ó</WORD>
<WORD coords="1841,3634,1971,3577,3634">raíz</WORD>
<WORD coords="2040,3656,2304,3599,3634">póngase</WORD>
<WORD coords="2361,3635,2429,3602,3634">en</WORD>
<WORD coords="2501,3602,2506,3581,3617">&apos;</WORD>
<WORD coords="2563,3631,2585,3597,3631">a</WORD>
</LINE>
<LINE>
<WORD coords="224,3751,403,3694,3731">layas</WORD>
<WORD coords="458,3733,531,3667,3732">ríe</WORD>
<WORD coords="579,3738,814,3676,3736">dividir</WORD>
<WORD coords="840,3739,852,3705,3739">:</WORD>
<WORD coords="889,3742,1183,3682,3741">cuádrese</WORD>
<WORD coords="1246,3742,1297,3689,3741">la</WORD>
<WORD coords="1343,3741,1474,3689,3739">raíz</WORD>
<WORD coords="1506,3754,1521,3729,3754">,</WORD>
<WORD coords="1554,3760,1593,3704,3750">y</WORD>
<WORD coords="1636,3740,1706,3698,3738">sü</WORD>
<WORD coords="1762,3741,2073,3685,3739">cuadrado</WORD>
<WORD coords="2121,3743,2351,3696,3740">réstese</WORD>
<WORD coords="2416,3739,2504,3686,3739">;,b.</WORD>
<WORD coords="2526,3737,2585,3704,3737">e-</WORD>
</LINE>
<LINE>
<WORD coords="223,3839,399,3781,3837">Viada</WORD>
<WORD coords="414,3843,614,3794,3841">menté</WORD>
<WORD coords="671,3842,767,3790,3841">del</WORD>
<WORD coords="821,3863,1051,3791,3843">primer</WORD>
<WORD coords="1114,3863,1394,3791,3842">periodo.</WORD>
<WORD coords="1485,3846,1605,3792,3841">3.°</WORD>
<WORD coords="1675,3847,1942,3784,3845">Aliado</WORD>
<WORD coords="2001,3857,2388,3791,3845">delarot*,</WORD>
<WORD coords="2568,3838,2585,3806,3838">i</WORD>
</LINE>
<LINE>
<WORD coords="212,3965,333,3870,3965">%*f</WORD>
<WORD coords="363,3959,378,3924,3959">i</WORD>
<WORD coords="419,3958,546,3892,3948">bife</WORD>
<WORD coords="560,3947,619,3913,3946">se</WORD>
<WORD coords="670,3948,723,3897,3948">el</WORD>
<WORD coords="784,3961,871,3912,3949">pe;</WORD>
<WORD coords="894,3949,912,3909,3949">i</WORD>
<WORD coords="969,3951,1046,3897,3950">do</WORD>
<WORD coords="1115,3973,1418,3898,3950">siguiente</WORD>
<WORD coords="1457,3966,1471,3924,3966">$</WORD>
<WORD coords="1536,3971,1570,3916,3971">y</WORD>
<WORD coords="1619,3971,1900,3900,3951">sepárese</WORD>
<WORD coords="1955,3951,2065,3917,3950">con</WORD>
<WORD coords="2127,3952,2241,3916,3950">una</WORD>
<WORD coords="2293,3948,2460,3914,3945">coma</WORD>
<WORD coords="2529,3948,2583,3886,3947">el</WORD>
</LINE>
<LINE>
<WORD coords="222,4046,255,4005,4046">ti</WORD>
<WORD coords="287,4047,326,4011,4047">ti</WORD>
<WORD coords="342,4048,393,4010,4045">m</WORD>
<WORD coords="406,4045,437,4018,4055">o</WORD>
<WORD coords="500,4071,815,4000,4052">guarismo</WORD>
<WORD coords="871,4054,944,4001,4053">de</WORD>
<WORD coords="1000,4059,1262,3988,4055">rjérecfiá</WORD>
<WORD coords="1292,4058,1304,4022,4058">:</WORD>
<WORD coords="1369,4076,1735,4000,4057">duplíquese</WORD>
<WORD coords="1798,4059,1858,3995,4056">íá</WORD>
<WORD coords="1912,4058,2030,4003,4057">raíz</WORD>
<WORD coords="2093,4058,2327,3996,4055">ríálládá</WORD>
<WORD coords="2366,4067,2380,4044,4067">,</WORD>
<WORD coords="2434,4075,2470,4016,4065">y</WORD>
<WORD coords="2527,4054,2584,4000,4052">el</WORD>
</LINE>
<LINE>
<WORD coords="219,4170,522,4104,4156">fruütMo</WORD>
<WORD coords="578,4180,909,4109,4160">coloqúese</WORD>
<WORD coords="973,4185,1194,4105,4163">debajo</WORD>
<WORD coords="1250,4163,1327,4107,4163">de</WORD>
<WORD coords="1383,4164,1441,4107,4163">lo</WORD>
<WORD coords="1516,4184,1636,4123,4165">que</WORD>
<WORD coords="1703,4165,1829,4112,4163">está</WORD>
<WORD coords="1886,4165,1918,4113,4165">á</WORD>
<WORD coords="2001,4182,2327,4109,4163">izqaieida</WORD>
<WORD coords="2395,4160,2465,4107,4160">de</WORD>
<WORD coords="2523,4161,2579,4109,4160">la</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0121.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0122.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0122.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1760,572,1976,474,572">112</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="675,682,852,641,681">coma</WORD>
<WORD coords="880,696,898,670,694">,</WORD>
<WORD coords="951,683,1027,644,682">en</WORD>
<WORD coords="1085,686,1138,627,684">la</WORD>
<WORD coords="1185,688,1442,628,686">reunión</WORD>
<WORD coords="1496,688,1574,628,687">de</WORD>
<WORD coords="1629,691,1791,644,689">resta</WORD>
<WORD coords="1834,713,1873,656,712">y</WORD>
<WORD coords="1934,711,2190,635,692">período</WORD>
<WORD coords="2234,714,2352,656,696">que</WORD>
<WORD coords="2411,698,2477,657,697">se</WORD>
<WORD coords="2517,722,2662,639,698">bajo</WORD>
<WORD coords="2696,708,2712,665,707">;</WORD>
<WORD coords="2748,706,3041,642,703">divídase</WORD>
</LINE>
<LINE>
<WORD coords="669,791,726,736,789">el</WORD>
<WORD coords="776,792,1036,752,790">numero</WORD>
<WORD coords="1083,814,1385,738,793">separado</WORD>
<WORD coords="1417,793,1446,738,796">á</WORD>
<WORD coords="1479,817,1808,739,797">izquierda</WORD>
<WORD coords="1839,819,1952,760,798">por</WORD>
<WORD coords="1998,801,2054,745,800">el</WORD>
<WORD coords="2088,822,2393,745,801">producto</WORD>
<WORD coords="2458,823,2577,765,805">que</WORD>
<WORD coords="2633,807,2795,750,806">tiene</WORD>
<WORD coords="2851,812,3040,753,810">deba-</WORD>
</LINE>
<LINE>
<WORD coords="662,920,735,838,894">jo</WORD>
<WORD coords="771,912,789,884,909">,</WORD>
<WORD coords="818,898,876,843,896">el</WORD>
<WORD coords="931,905,1209,844,901">cociente</WORD>
<WORD coords="1266,908,1574,844,903">escríbase</WORD>
<WORD coords="1632,906,1706,868,906">en</WORD>
<WORD coords="1747,907,1835,848,905">las</WORD>
<WORD coords="1882,927,2060,865,905">rayas</WORD>
<WORD coords="2113,906,2191,851,906">de</WORD>
<WORD coords="2247,909,2483,850,908">dividir</WORD>
<WORD coords="2536,910,2567,855,910">á</WORD>
<WORD coords="2600,919,3032,858,913">continuación</WORD>
</LINE>
<LINE>
<WORD coords="671,1005,774,946,1004">del</WORD>
<WORD coords="845,1028,1161,951,1007">guarismo</WORD>
<WORD coords="1246,1014,1515,956,1012">anterior</WORD>
<WORD coords="1563,1031,1584,1001,1024">,</WORD>
<WORD coords="1666,1017,1722,960,1015">al</WORD>
<WORD coords="1785,1017,1927,959,1015">lado</WORD>
<WORD coords="2003,1014,2105,957,1013">del</WORD>
<WORD coords="2154,1018,2395,959,1016">divisor</WORD>
<WORD coords="2458,1039,2499,981,1039">y</WORD>
<WORD coords="2557,1042,2780,961,1019">debajo</WORD>
<WORD coords="2848,1021,2925,963,1021">de</WORD>
<WORD coords="2976,1022,3037,964,1021">sí</WORD>
</LINE>
<LINE>
<WORD coords="664,1130,916,1072,1126">mismo:</WORD>
<WORD coords="1008,1140,1482,1063,1120">multipliqúese</WORD>
<WORD coords="1557,1121,1615,1065,1121">el</WORD>
<WORD coords="1696,1122,1936,1065,1121">divisor</WORD>
<WORD coords="1997,1145,2185,1065,1122">junto</WORD>
<WORD coords="2270,1125,2385,1086,1124">con</WORD>
<WORD coords="2438,1126,2501,1069,1125">el</WORD>
<WORD coords="2548,1127,2830,1068,1125">cociente</WORD>
<WORD coords="2913,1146,3027,1085,1125">por</WORD>
</LINE>
<LINE>
<WORD coords="668,1234,727,1178,1234">el</WORD>
<WORD coords="782,1232,1007,1176,1232">mismo</WORD>
<WORD coords="1062,1233,1340,1174,1229">cociente</WORD>
<WORD coords="1383,1246,1402,1215,1246">,</WORD>
<WORD coords="1477,1248,1517,1189,1239">y</WORD>
<WORD coords="1594,1229,1652,1172,1228">el</WORD>
<WORD coords="1714,1247,2019,1172,1226">producto</WORD>
<WORD coords="2090,1231,2326,1172,1229">réntese</WORD>
<WORD coords="2413,1231,2492,1173,1231">de</WORD>
<WORD coords="2546,1232,2606,1174,1231">la</WORD>
<WORD coords="2661,1232,2824,1185,1231">resta</WORD>
<WORD coords="2880,1231,3026,1192,1230">reu-</WORD>
</LINE>
<LINE>
<WORD coords="670,1344,818,1283,1340">nida</WORD>
<WORD coords="901,1339,959,1282,1338">al</WORD>
<WORD coords="1058,1357,1320,1281,1336">período</WORD>
<WORD coords="1404,1356,1524,1300,1338">que</WORD>
<WORD coords="1607,1338,1672,1300,1337">se</WORD>
<WORD coords="1753,1360,1919,1281,1337">bajo.</WORD>
<WORD coords="2011,1337,2097,1279,1336">Al</WORD>
<WORD coords="2173,1338,2315,1279,1336">lado</WORD>
<WORD coords="2382,1339,2462,1280,1338">de</WORD>
<WORD coords="2544,1338,2600,1284,1337">la</WORD>
<WORD coords="2676,1335,2840,1290,1334">resta</WORD>
<WORD coords="2918,1335,3028,1279,1335">bá-</WORD>
</LINE>
<LINE>
<WORD coords="655,1475,793,1392,1447">jese</WORD>
<WORD coords="849,1448,905,1391,1447">el</WORD>
<WORD coords="954,1465,1216,1388,1444">período</WORD>
<WORD coords="1274,1465,1581,1388,1444">siguiente</WORD>
<WORD coords="1610,1456,1628,1430,1456">,</WORD>
<WORD coords="1656,1462,1694,1405,1462">y</WORD>
<WORD coords="1756,1462,2042,1388,1442">sepárese</WORD>
<WORD coords="2102,1443,2215,1405,1442">con</WORD>
<WORD coords="2272,1443,2393,1404,1442">una</WORD>
<WORD coords="2452,1444,2631,1403,1442">coma</WORD>
<WORD coords="2676,1441,2733,1384,1440">el</WORD>
<WORD coords="2784,1461,3025,1383,1439">guaris-</WORD>
</LINE>
<LINE>
<WORD coords="661,1560,768,1519,1558">mo</WORD>
<WORD coords="817,1555,895,1499,1555">de</WORD>
<WORD coords="947,1555,1035,1499,1554">las</WORD>
<WORD coords="1086,1568,1439,1495,1551">unidades;</WORD>
<WORD coords="1510,1568,1884,1491,1549">duplíquese</WORD>
<WORD coords="1943,1550,2092,1491,1549">toda</WORD>
<WORD coords="2150,1549,2209,1492,1549">la</WORD>
<WORD coords="2255,1548,2384,1491,1548">ra&apos;12</WORD>
<WORD coords="2436,1556,2733,1489,1546">hallada,</WORD>
<WORD coords="2794,1545,2852,1489,1545">el</WORD>
<WORD coords="2906,1546,3026,1487,1545">du-</WORD>
</LINE>
<LINE>
<WORD coords="659,1684,764,1609,1662">plo</WORD>
<WORD coords="810,1683,1082,1622,1660">póngase</WORD>
<WORD coords="1139,1679,1361,1602,1658">debajo</WORD>
<WORD coords="1419,1657,1496,1602,1656">de</WORD>
<WORD coords="1552,1656,1614,1601,1655">lo</WORD>
<WORD coords="1667,1674,1970,1597,1654">separado</WORD>
<WORD coords="2013,1654,2042,1600,1654">á</WORD>
<WORD coords="2098,1673,2423,1596,1653">izquierda</WORD>
<WORD coords="2454,1671,2476,1619,1663">;</WORD>
<WORD coords="2532,1652,2817,1592,1651">divídase</WORD>
<WORD coords="2891,1651,3028,1603,1650">esto</WORD>
</LINE>
<LINE>
<WORD coords="659,1791,772,1733,1769">por</WORD>
<WORD coords="827,1771,884,1713,1770">el</WORD>
<WORD coords="936,1787,1127,1712,1768">duplo</WORD>
<WORD coords="1157,1781,1176,1752,1781">,</WORD>
<WORD coords="1222,1786,1263,1727,1776">y</WORD>
<WORD coords="1312,1766,1370,1706,1764">el</WORD>
<WORD coords="1414,1764,1690,1705,1762">cociente</WORD>
<WORD coords="1750,1766,2058,1704,1760">escríbase</WORD>
<WORD coords="2115,1760,2190,1722,1760">en</WORD>
<WORD coords="2251,1761,2309,1704,1760">la</WORD>
<WORD coords="2358,1760,2484,1704,1760">raíz</WORD>
<WORD coords="2509,1773,2526,1746,1762">,</WORD>
<WORD coords="2584,1760,2640,1702,1759">al</WORD>
<WORD coords="2730,1758,2872,1699,1757">lado</WORD>
<WORD coords="2919,1757,3026,1698,1756">del</WORD>
</LINE>
<LINE>
<WORD coords="660,1885,900,1825,1881">divisor</WORD>
<WORD coords="945,1899,985,1842,1895">y</WORD>
<WORD coords="1046,1892,1267,1814,1872">debajo</WORD>
<WORD coords="1315,1870,1393,1814,1869">de</WORD>
<WORD coords="1464,1869,1519,1807,1867">sí</WORD>
<WORD coords="1581,1868,1805,1810,1866">mismo</WORD>
<WORD coords="1839,1881,1856,1853,1881">,</WORD>
<WORD coords="1914,1886,1953,1830,1886">y</WORD>
<WORD coords="2010,1887,2244,1806,1865">hágase</WORD>
<WORD coords="2303,1866,2453,1809,1865">todo</WORD>
<WORD coords="2519,1864,2579,1810,1864">lo</WORD>
<WORD coords="2630,1865,2847,1809,1864">demás</WORD>
<WORD coords="2895,1881,3021,1823,1862">que</WORD>
</LINE>
<LINE>
<WORD coords="656,1998,860,1936,1993">arriba</WORD>
<WORD coords="902,1992,1121,1933,1987">hemos</WORD>
<WORD coords="1177,2001,1499,1921,1981">prescrito.</WORD>
<WORD coords="1591,1977,1714,1916,1975">Asi</WORD>
<WORD coords="1759,1974,1823,1934,1973">se</WORD>
<WORD coords="1871,1977,2160,1918,1975">continúa</WORD>
<WORD coords="2211,1975,2386,1916,1974">hasta</WORD>
<WORD coords="2430,1974,2620,1913,1972">haber</WORD>
<WORD coords="2681,1993,2903,1914,1971">bajado</WORD>
<WORD coords="2946,1973,3010,1912,1973">el</WORD>
</LINE>
<LINE>
<WORD coords="659,2107,879,2046,2102">ultimo</WORD>
<WORD coords="937,2114,1215,2036,2093">período.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="898,2207,958,2157,2200">4.</WORD>
<WORD coords="985,2186,1022,2149,2186">o</WORD>
<WORD coords="1134,2202,1398,2142,2199">Cuándo</WORD>
<WORD coords="1442,2197,1500,2140,2193">la</WORD>
<WORD coords="1542,2197,1705,2147,2194">resta</WORD>
<WORD coords="1754,2215,1938,2136,2192">junto</WORD>
<WORD coords="1999,2189,2112,2150,2189">con</WORD>
<WORD coords="2167,2189,2224,2130,2188">el</WORD>
<WORD coords="2284,2208,2602,2129,2187">guarismo</WORD>
<WORD coords="2653,2187,2754,2129,2186">del</WORD>
<WORD coords="2805,2205,3013,2128,2182">perín.</WORD>
</LINE>
<LINE>
<WORD coords="652,2320,736,2261,2319">do</WORD>
<WORD coords="787,2334,907,2277,2315">que</WORD>
<WORD coords="971,2311,1036,2274,2311">se</WORD>
<WORD coords="1084,2330,1230,2248,2308">bajó</WORD>
<WORD coords="1262,2323,1279,2296,2314">,</WORD>
<WORD coords="1323,2305,1401,2267,2305">no</WORD>
<WORD coords="1446,2304,1511,2266,2303">se</WORD>
<WORD coords="1565,2321,1764,2245,2301">puede</WORD>
<WORD coords="1825,2300,2060,2240,2297">dividir</WORD>
<WORD coords="2108,2311,2217,2257,2294">por</WORD>
<WORD coords="2270,2293,2328,2239,2292">ei</WORD>
<WORD coords="2386,2313,2578,2238,2292">duplo</WORD>
<WORD coords="2630,2294,2707,2237,2293">de</WORD>
<WORD coords="2758,2293,2819,2236,2292">la</WORD>
<WORD coords="2882,2296,3023,2236,2293">raiz</WORD>
</LINE>
<LINE>
<WORD coords="648,2427,897,2366,2423">hallada</WORD>
<WORD coords="932,2439,948,2406,2428">,</WORD>
<WORD coords="984,2418,1048,2381,2417">se</WORD>
<WORD coords="1109,2433,1265,2375,2414">pone</WORD>
<WORD coords="1323,2412,1466,2372,2410">cero</WORD>
<WORD coords="1508,2409,1583,2372,2408">en</WORD>
<WORD coords="1642,2408,1699,2352,2407">la</WORD>
<WORD coords="1745,2408,1880,2350,2407">raiz</WORD>
<WORD coords="1931,2427,1971,2368,2417">y</WORD>
<WORD coords="2027,2406,2090,2367,2405">se</WORD>
<WORD coords="2137,2424,2273,2345,2401">baja</WORD>
<WORD coords="2317,2402,2375,2345,2401">el</WORD>
<WORD coords="2434,2420,2692,2343,2398">período</WORD>
<WORD coords="2744,2418,3021,2340,2397">siguien-</WORD>
</LINE>
<LINE>
<WORD coords="658,2532,719,2489,2532">te</WORD>
<WORD coords="752,2531,764,2496,2530">:</WORD>
<WORD coords="821,2529,884,2493,2528">se</WORD>
<WORD coords="935,2526,992,2471,2526">le</WORD>
<WORD coords="1046,2543,1265,2483,2522">separa</WORD>
<WORD coords="1338,2520,1395,2462,2519">el</WORD>
<WORD coords="1456,2540,1774,2458,2515">guarismo</WORD>
<WORD coords="1826,2514,1905,2457,2513">de</WORD>
<WORD coords="1966,2513,2057,2457,2512">las</WORD>
<WORD coords="2127,2511,2431,2449,2508">unidades</WORD>
<WORD coords="2465,2523,2484,2493,2523">,</WORD>
<WORD coords="2548,2527,2587,2468,2520">y</WORD>
<WORD coords="2652,2504,2718,2466,2504">se</WORD>
<WORD coords="2774,2525,3021,2449,2503">ejecuta</WORD>
</LINE>
<LINE>
<WORD coords="649,2640,708,2583,2639">lo</WORD>
<WORD coords="759,2638,999,2580,2637">demás,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="895,2743,952,2695,2736">5.</WORD>
<WORD coords="980,2721,1015,2686,2723">°</WORD>
<WORD coords="1129,2741,1392,2677,2737">Cuando</WORD>
<WORD coords="1441,2751,1644,2672,2731">queda</WORD>
<WORD coords="1702,2728,1865,2680,2726">resta</WORD>
<WORD coords="1915,2726,1971,2667,2725">al</WORD>
<WORD coords="2031,2725,2111,2661,2724">fin</WORD>
<WORD coords="2169,2725,2240,2668,2723">de</WORD>
<WORD coords="2277,2721,2332,2663,2720">la</WORD>
<WORD coords="2401,2738,2731,2659,2718">operación</WORD>
<WORD coords="2758,2731,2776,2704,2725">,</WORD>
<WORD coords="2823,2717,2904,2678,2716">no</WORD>
<WORD coords="2952,2718,3018,2675,2716">se</WORD>
</LINE>
<LINE>
<WORD coords="648,2878,863,2818,2858">espere</WORD>
<WORD coords="930,2852,1130,2793,2849">hallar</WORD>
<WORD coords="1172,2867,1375,2788,2842">jamas</WORD>
<WORD coords="1429,2838,1555,2783,2837">raiz</WORD>
<WORD coords="1595,2836,1801,2790,2834">esacta</WORD>
<WORD coords="1854,2832,1928,2796,2831">en</WORD>
<WORD coords="1985,2830,2227,2781,2828">enteros</WORD>
<WORD coords="2263,2842,2279,2816,2838">,</WORD>
<WORD coords="2312,2825,2370,2770,2825">ni</WORD>
<WORD coords="2435,2843,2803,2767,2823">quebrados.</WORD>
<WORD coords="2900,2822,3014,2767,2821">Pe-</WORD>
</LINE>
<LINE>
<WORD coords="644,2969,715,2930,2968">ro</WORD>
<WORD coords="758,2964,825,2925,2963">se</WORD>
<WORD coords="881,2980,1080,2901,2957">puede</WORD>
<WORD coords="1140,2969,1516,2886,2947">aprocsimar</WORD>
<WORD coords="1550,2947,1566,2932,2945">.</WORD>
<WORD coords="1616,2943,1727,2887,2937">1.°</WORD>
<WORD coords="1784,2957,1893,2901,2936">por</WORD>
<WORD coords="1927,2956,2244,2877,2934">quebrado</WORD>
<WORD coords="2286,2932,2509,2892,2931">común</WORD>
<WORD coords="2546,2943,2560,2918,2941">,</WORD>
<WORD coords="2596,2930,2671,2874,2930">de</WORD>
<WORD coords="2720,2929,2848,2883,2928">este</WORD>
<WORD coords="2881,2928,3016,2888,2927">mo.</WORD>
</LINE>
<LINE>
<WORD coords="644,3075,727,3018,3074">do</WORD>
<WORD coords="764,3072,780,3039,3071">:</WORD>
<WORD coords="832,3071,887,3014,3069">al</WORD>
<WORD coords="938,3064,1080,3008,3063">lado</WORD>
<WORD coords="1134,3060,1210,3002,3059">de</WORD>
<WORD coords="1270,3056,1326,3001,3055">la</WORD>
<WORD coords="1390,3052,1525,2996,3050">raiz</WORD>
<WORD coords="1569,3049,1792,2989,3046">sacada</WORD>
<WORD coords="1846,3062,2116,2988,3039">póngase</WORD>
<WORD coords="2177,3040,2255,3003,3039">un</WORD>
<WORD coords="2315,3055,2634,2978,3035">quebrado</WORD>
<WORD coords="2666,3048,2683,3023,3048">,</WORD>
<WORD coords="2721,3053,2839,2997,3034">que</WORD>
<WORD coords="2881,3032,3018,2987,3031">ten-</WORD>
</LINE>
<LINE>
<WORD coords="644,3201,719,3142,3178">ga</WORD>
<WORD coords="777,3194,886,3137,3174">por</WORD>
<WORD coords="942,3172,1320,3108,3166">numerador</WORD>
<WORD coords="1379,3160,1433,3105,3159">la</WORD>
<WORD coords="1491,3157,1709,3098,3154">ultima</WORD>
<WORD coords="1753,3152,1916,3106,3150">resta</WORD>
<WORD coords="1951,3163,1966,3137,3163">,</WORD>
<WORD coords="2025,3169,2063,3112,3166">y</WORD>
<WORD coords="2124,3163,2233,3108,3144">por</WORD>
<WORD coords="2279,3145,2731,3081,3141">denominador</WORD>
<WORD coords="2779,3139,2835,3084,3138">el</WORD>
<WORD coords="2895,3138,3012,3082,3138">du-</WORD>
</LINE>
<LINE>
<WORD coords="647,3305,752,3230,3283">plo</WORD>
<WORD coords="813,3282,888,3224,3281">de</WORD>
<WORD coords="950,3277,1096,3220,3275">toda</WORD>
<WORD coords="1152,3271,1209,3215,3270">la</WORD>
<WORD coords="1262,3269,1395,3211,3268">raíz</WORD>
<WORD coords="1448,3265,1695,3205,3262">hallada</WORD>
<WORD coords="1737,3279,1777,3221,3269">y</WORD>
<WORD coords="1825,3256,1955,3219,3254">mas</WORD>
<WORD coords="2003,3254,2058,3199,3253">la</WORD>
<WORD coords="2121,3263,2408,3194,3249">unidad;</WORD>
<WORD coords="2460,3252,2588,3187,3246">2.°</WORD>
<WORD coords="2661,3264,2772,3207,3244">por</WORD>
<WORD coords="2842,3245,3012,3187,3244">deci-</WORD>
</LINE>
<LINE>
<WORD coords="641,3402,886,3333,3388">males,</WORD>
<WORD coords="943,3404,1062,3346,3383">que</WORD>
<WORD coords="1138,3379,1204,3342,3378">es</WORD>
<WORD coords="1261,3376,1322,3322,3375">lo</WORD>
<WORD coords="1389,3392,1633,3317,3371">mejor,</WORD>
<WORD coords="1697,3366,1772,3311,3364">de</WORD>
<WORD coords="1832,3361,1961,3314,3359">esta</WORD>
<WORD coords="2021,3356,2275,3311,3355">suerte:</WORD>
<WORD coords="2353,3372,2702,3314,3350">supóngase</WORD>
<WORD coords="2770,3369,2890,3314,3350">que</WORD>
<WORD coords="2946,3349,3005,3291,3348">el</WORD>
</LINE>
<LINE>
<WORD coords="639,3499,901,3455,3494">numero</WORD>
<WORD coords="935,3506,953,3478,3506">,</WORD>
<WORD coords="1019,3506,1176,3449,3487">cuya</WORD>
<WORD coords="1248,3483,1387,3426,3482">raiz</WORD>
<WORD coords="1441,3478,1507,3442,3477">se</WORD>
<WORD coords="1586,3476,1784,3432,3473">estrae</WORD>
<WORD coords="1817,3484,1831,3458,3476">,</WORD>
<WORD coords="1893,3469,2057,3412,3465">tiene</WORD>
<WORD coords="2123,3463,2153,3409,3466">á</WORD>
<WORD coords="2232,3461,2508,3400,3457">derecha</WORD>
<WORD coords="2583,3471,2849,3399,3452">después</WORD>
<WORD coords="2920,3453,3001,3397,3452">de</WORD>
</LINE>
<LINE>
<WORD coords="639,3607,761,3567,3603">una</WORD>
<WORD coords="838,3598,1015,3559,3597">coma</WORD>
<WORD coords="1083,3594,1339,3544,3590">cuantos</WORD>
<WORD coords="1416,3604,1708,3525,3581">períodos</WORD>
<WORD coords="1787,3578,1851,3539,3577">se</WORD>
<WORD coords="1927,3593,2182,3517,3568">quieran</WORD>
<WORD coords="2249,3565,2324,3509,3564">de</WORD>
<WORD coords="2402,3563,2433,3516,3569">á</WORD>
<WORD coords="2477,3562,2589,3504,3559">dos</WORD>
<WORD coords="2643,3562,2816,3522,3559">ceros</WORD>
<WORD coords="2878,3579,2899,3530,3578">;</WORD>
<WORD coords="2954,3577,2999,3519,3577">y</WORD>
</LINE>
<LINE>
<WORD coords="639,3731,897,3668,3707">opérese</WORD>
<WORD coords="956,3723,1150,3664,3700">según</WORD>
<WORD coords="1208,3719,1409,3642,3695">reglas</WORD>
<WORD coords="1460,3693,1649,3636,3691">dadas</WORD>
<WORD coords="1672,3705,1688,3678,3705">,</WORD>
<WORD coords="1715,3709,1983,3627,3685">bajando</WORD>
<WORD coords="2041,3680,2154,3624,3678">dos</WORD>
<WORD coords="2213,3677,2393,3638,3674">ceros</WORD>
<WORD coords="2450,3694,2484,3638,3689">y</WORD>
<WORD coords="2542,3672,2994,3612,3665">añadiéndolos</WORD>
</LINE>
<LINE>
<WORD coords="643,3820,674,3763,3817">á</WORD>
<WORD coords="733,3815,790,3760,3815">la</WORD>
<WORD coords="870,3810,1031,3763,3808">resta</WORD>
<WORD coords="1118,3805,1334,3749,3802">ultima</WORD>
<WORD coords="1371,3818,1390,3789,3810">,</WORD>
<WORD coords="1437,3803,1556,3744,3798">&amp;c.</WORD>
<WORD coords="1648,3796,1741,3740,3795">La</WORD>
<WORD coords="1802,3793,1927,3736,3792">raiz</WORD>
<WORD coords="2002,3806,2120,3751,3787">que</WORD>
<WORD coords="2177,3784,2255,3729,3783">de</WORD>
<WORD coords="2320,3800,2465,3724,3781">aquí</WORD>
<WORD coords="2547,3778,2776,3725,3775">resulte</WORD>
<WORD coords="2856,3771,2995,3728,3769">sera</WORD>
</LINE>
<LINE>
<WORD coords="641,3947,959,3863,3919">guarismo</WORD>
<WORD coords="1008,3913,1273,3854,3909">decimal</WORD>
<WORD coords="1304,3922,1323,3896,3922">,</WORD>
<WORD coords="1348,3925,1466,3869,3906">que</WORD>
<WORD coords="1513,3904,1579,3867,3903">se</WORD>
<WORD coords="1637,3903,1931,3844,3900">escribirá</WORD>
<WORD coords="1981,3910,2245,3840,3893">después</WORD>
<WORD coords="2293,3889,2370,3833,3888">de</WORD>
<WORD coords="2430,3888,2484,3833,3887">la</WORD>
<WORD coords="2518,3886,2697,3847,3884">coma</WORD>
<WORD coords="2729,3899,2750,3869,3899">,</WORD>
<WORD coords="2776,3899,2894,3842,3879">que</WORD>
<WORD coords="2928,3877,2994,3837,3876">se</WORD>
</LINE>
<LINE>
<WORD coords="640,4034,798,3974,4030">debe</WORD>
<WORD coords="843,4045,1031,3982,4020">poner</WORD>
<WORD coords="1077,4016,1107,3964,4015">á</WORD>
<WORD coords="1164,4015,1431,3955,4012">derecha</WORD>
<WORD coords="1487,4011,1562,3955,4009">de</WORD>
<WORD coords="1611,4008,1668,3953,4007">la</WORD>
<WORD coords="1725,4007,1858,3952,4005">raiz</WORD>
<WORD coords="1919,4002,2163,3944,3999">sacada.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="885,4152,1161,4070,4129">Ejemplo</WORD>
<WORD coords="1226,4126,1344,4065,4126">U°</WORD>
<WORD coords="1455,4139,1837,4062,4118">Estraygase</WORD>
<WORD coords="1889,4112,1947,4055,4112">la</WORD>
<WORD coords="1999,4109,2136,4051,4108">raiz</WORD>
<WORD coords="2198,4106,2512,4045,4104">cuadrada</WORD>
<WORD coords="2570,4100,2674,4039,4098">del</WORD>
<WORD coords="2737,4096,3001,4046,4092">numero</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0122.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0123.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0123.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1328,714,1544,620,713">118</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="234,820,440,761,820">54756</WORD>
<WORD coords="469,833,485,807,833">,</WORD>
<WORD coords="511,838,630,780,820">que</WORD>
<WORD coords="662,824,1080,764,822">indicaremos</WORD>
<WORD coords="1114,826,1291,787,825">como</WORD>
<WORD coords="1325,828,1387,793,827">se</WORD>
<WORD coords="1425,832,1495,796,831">ve</WORD>
<WORD coords="1532,834,1582,779,834">al</WORD>
<WORD coords="1616,845,1777,780,837">lado.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="477,944,711,868,929">Separo</WORD>
<WORD coords="759,930,875,891,929">con</WORD>
<WORD coords="928,933,1139,894,931">comas</WORD>
<WORD coords="1194,934,1270,877,934">de</WORD>
<WORD coords="1326,938,1439,879,936">dos</WORD>
<WORD coords="1491,941,1566,903,940">en</WORD>
<WORD coords="1640,946,1753,890,944">dos</WORD>
<WORD coords="1924,953,2052,893,953">Vj</WORD>
<WORD coords="2267,973,2283,946,965">,</WORD>
<WORD coords="2329,958,2405,912,957">5(3</WORD>
<WORD coords="2441,982,2455,904,971">|</WORD>
<WORD coords="2493,961,2613,908,957">514,</WORD>
</LINE>
<LINE>
<WORD coords="228,1052,582,974,1032">guarismos</WORD>
<WORD coords="610,1050,629,1022,1041">,</WORD>
<WORD coords="701,1040,1132,982,1038">comenzando</WORD>
<WORD coords="1214,1043,1291,985,1041">de</WORD>
<WORD coords="1339,1042,1394,988,1042">la</WORD>
<WORD coords="1469,1054,1756,990,1047">derecha.</WORD>
<WORD coords="2041,1060,2185,1009,1058">14.7</WORD>
<WORD coords="2437,1088,2452,1010,1088">|</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="234,1138,447,1077,1136">Busco</WORD>
<WORD coords="489,1161,760,1082,1140">después</WORD>
<WORD coords="810,1145,891,1106,1143">un</WORD>
<WORD coords="948,1147,1211,1107,1145">numero</WORD>
<WORD coords="1237,1163,1254,1135,1163">,</WORD>
<WORD coords="1286,1167,1411,1110,1150">que</WORD>
<WORD coords="1467,1174,1772,1099,1153">multiplí-</WORD>
<WORD coords="2088,1164,2195,1113,1163">43</WORD>
</LINE>
<LINE>
<WORD coords="231,1244,391,1186,1242">cado</WORD>
<WORD coords="452,1263,562,1206,1245">por</WORD>
<WORD coords="620,1249,675,1192,1247">sí</WORD>
<WORD coords="708,1269,1022,1193,1251">produzca</WORD>
<WORD coords="1056,1251,1091,1203,1252">5</WORD>
<WORD coords="1130,1268,1146,1242,1268">,</WORD>
<WORD coords="1188,1274,1306,1216,1254">que</WORD>
<WORD coords="1340,1257,1404,1219,1256">es</WORD>
<WORD coords="1435,1258,1493,1202,1258">el</WORD>
<WORD coords="1528,1277,1758,1203,1259">primer</WORD>
<WORD coords="2161,1266,2198,1218,1266">3</WORD>
</LINE>
<LINE>
<WORD coords="226,1364,492,1291,1347">período</WORD>
<WORD coords="539,1373,873,1295,1355">izquierdo</WORD>
<WORD coords="908,1370,926,1324,1370">;</WORD>
<WORD coords="974,1377,1013,1321,1369">y</WORD>
<WORD coords="1071,1361,1239,1301,1360">hallo</WORD>
<WORD coords="1289,1378,1409,1325,1362">que</WORD>
<WORD coords="1465,1365,1529,1328,1364">es</WORD>
<WORD coords="1582,1366,1616,1318,1366">2</WORD>
<WORD coords="1642,1381,1664,1332,1375">;</WORD>
<WORD coords="1701,1370,1759,1312,1369">lo</WORD>
<WORD coords="2009,1366,2229,1349,1366">—</WORD>
<WORD coords="2229,1367,2260,1351,0">.</WORD>
</LINE>
<LINE>
<WORD coords="223,1433,470,1375,1430">escribo</WORD>
<WORD coords="528,1435,603,1398,1434">en</WORD>
<WORD coords="669,1439,755,1380,1437">las</WORD>
<WORD coords="806,1460,981,1400,1439">rayas</WORD>
<WORD coords="1010,1454,1027,1429,1454">,</WORD>
<WORD coords="1057,1461,1095,1405,1452">y</WORD>
<WORD coords="1129,1441,1187,1388,1440">lo</WORD>
<WORD coords="1246,1445,1478,1389,1444">cuadro</WORD>
<WORD coords="1511,1452,1746,1391,1448">dicien.</WORD>
<WORD coords="2034,1456,2198,1405,1454">1^9</WORD>
</LINE>
<LINE>
<WORD coords="225,1510,311,1455,1509">do</WORD>
<WORD coords="349,1515,365,1478,1518">:</WORD>
<WORD coords="420,1514,457,1466,1518">2</WORD>
<WORD coords="506,1518,689,1479,1516">veces</WORD>
<WORD coords="743,1521,780,1471,1521">2</WORD>
<WORD coords="830,1521,939,1484,1520">son</WORD>
<WORD coords="994,1524,1037,1472,1524">4</WORD>
<WORD coords="1066,1534,1082,1511,1534">,</WORD>
<WORD coords="1134,1544,1172,1488,1536">y</WORD>
<WORD coords="1227,1528,1392,1485,1525">resto</WORD>
<WORD coords="1450,1529,1504,1471,1528">el</WORD>
<WORD coords="1552,1530,1593,1480,1530">4</WORD>
<WORD coords="1645,1533,1754,1457,1532">&apos;dei</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="227,1606,313,1540,1602">5,</WORD>
<WORD coords="372,1602,708,1539,1597">diciendo:</WORD>
<WORD coords="766,1603,844,1546,1602">de</WORD>
<WORD coords="899,1605,941,1553,1606">4</WORD>
<WORD coords="1000,1606,1031,1552,1607">á</WORD>
<WORD coords="1098,1606,1134,1558,1607">5</WORD>
<WORD coords="1208,1611,1283,1571,1610">va</WORD>
<WORD coords="1340,1614,1396,1561,1612">1.</WORD>
<WORD coords="1461,1613,1550,1557,1613">Al</WORD>
<WORD coords="1609,1618,1756,1558,1615">lado</WORD>
<WORD coords="2111,1632,2350,1568,1621">185,6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="223,1699,325,1640,1697">del</WORD>
<WORD coords="385,1702,413,1650,1707">1</WORD>
<WORD coords="489,1726,636,1647,1702">bajo</WORD>
<WORD coords="716,1707,770,1651,1706">el</WORD>
<WORD coords="821,1710,902,1658,1710">47</WORD>
<WORD coords="956,1732,997,1673,1731">y</WORD>
<WORD coords="1034,1731,1254,1676,1713">separo</WORD>
<WORD coords="1310,1718,1423,1679,1717">con</WORD>
<WORD coords="1483,1723,1604,1683,1720">una</WORD>
<WORD coords="1637,1724,1740,1684,1723">co-</WORD>
<WORD coords="2156,1726,2196,1678,1725">4</WORD>
<WORD coords="2223,1725,2259,1676,1725">6</WORD>
<WORD coords="2304,1730,2345,1677,1730">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="223,1780,326,1741,1780">ma</WORD>
<WORD coords="379,1784,436,1726,1783">el</WORD>
<WORD coords="496,1787,529,1734,1791">7</WORD>
<WORD coords="564,1799,582,1752,1799">;</WORD>
<WORD coords="632,1807,883,1729,1789">duplico</WORD>
<WORD coords="953,1794,1014,1740,1794">el</WORD>
<WORD coords="1074,1817,1392,1741,1798">guarismo</WORD>
<WORD coords="1447,1802,1482,1754,1802">2</WORD>
<WORD coords="1550,1806,1628,1749,1805">de</WORD>
<WORD coords="1687,1809,1747,1748,1807">la</WORD>
<WORD coords="2305,1810,2349,1759,1810">4</WORD>
</LINE>
<LINE>
<WORD coords="220,1890,357,1829,1887">raiz</WORD>
<WORD coords="388,1905,406,1876,1903">,</WORD>
<WORD coords="437,1891,496,1832,1890">lo</WORD>
<WORD coords="528,1912,647,1855,1894">que</WORD>
<WORD coords="699,1895,781,1838,1895">da</WORD>
<WORD coords="835,1898,878,1846,1899">4</WORD>
<WORD coords="908,1914,926,1885,1914">,</WORD>
<WORD coords="957,1918,1075,1863,1902">que</WORD>
<WORD coords="1128,1925,1329,1866,1903">pongo</WORD>
<WORD coords="1373,1930,1595,1849,1907">debajo</WORD>
<WORD coords="1655,1913,1761,1853,1912">del</WORD>
<WORD coords="2203,1911,2370,1891,1907">_^</WORD>
</LINE>
<LINE>
<WORD coords="223,1996,303,1940,1998">14</WORD>
<WORD coords="335,1995,350,1957,2000">:</WORD>
<WORD coords="385,1998,515,1950,1995">este</WORD>
<WORD coords="572,2001,789,1942,1998">divido</WORD>
<WORD coords="837,2021,947,1964,2001">por</WORD>
<WORD coords="998,2008,1041,1955,2008">4</WORD>
<WORD coords="1092,2028,1132,1970,2028">y</WORD>
<WORD coords="1192,2033,1342,1953,2010">digo</WORD>
<WORD coords="1379,2018,1398,1979,2016">;</WORD>
<WORD coords="1450,2015,1491,1963,2015">4</WORD>
<WORD coords="1547,2017,1621,1979,2016">en</WORD>
<WORD coords="1677,2022,1754,1965,2020">14</WORD>
<WORD coords="2112,2021,2140,1971,2021">1</WORD>
<WORD coords="2178,2021,2212,1974,2020">8</WORD>
<WORD coords="2246,2019,2277,1975,2019">5</WORD>
<WORD coords="2310,2020,2349,1970,2020">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="218,2102,372,2045,2100">cabe</WORD>
<WORD coords="424,2103,460,2052,2108">3</WORD>
<WORD coords="515,2107,695,2067,2105">veces</WORD>
<WORD coords="726,2123,743,2095,2123">,</WORD>
<WORD coords="773,2133,976,2071,2108">pongo</WORD>
<WORD coords="1038,2113,1071,2064,2113">3</WORD>
<WORD coords="1124,2117,1205,2079,2116">en</WORD>
<WORD coords="1257,2120,1316,2062,2119">la</WORD>
<WORD coords="1361,2121,1487,2062,2119">raiz</WORD>
<WORD coords="1539,2123,1569,2069,2123">á</WORD>
<WORD coords="1606,2126,1751,2087,2124">con-</WORD>
<WORD coords="2214,2119,2282,2106,2120">—</WORD>
<WORD coords="2282,2122,2369,2103,0">—</WORD>
</LINE>
<LINE>
<WORD coords="218,2210,539,2148,2206">tinuacion</WORD>
<WORD coords="577,2212,677,2155,2211">del</WORD>
<WORD coords="727,2214,762,2167,2217">2</WORD>
<WORD coords="797,2224,813,2203,2222">,</WORD>
<WORD coords="877,2217,933,2162,2216">al</WORD>
<WORD coords="984,2220,1125,2162,2218">lado</WORD>
<WORD coords="1177,2224,1279,2166,2223">del</WORD>
<WORD coords="1335,2245,1526,2169,2226">duplo</WORD>
<WORD coords="1576,2231,1617,2179,2231">4</WORD>
<WORD coords="1640,2243,1658,2217,2243">f</WORD>
<WORD coords="1704,2250,1749,2192,2243">y</WORD>
<WORD coords="2177,2236,2282,2187,2236">00</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="229,2312,455,2233,2288">debajo</WORD>
<WORD coords="491,2293,567,2236,2293">de</WORD>
<WORD coords="615,2294,670,2238,2294">sí</WORD>
<WORD coords="718,2300,940,2240,2297">mismo</WORD>
<WORD coords="973,2319,1011,2263,2311">y</WORD>
<WORD coords="1040,2303,1163,2245,2302">tiro</WORD>
<WORD coords="1208,2308,1329,2269,2307">una</WORD>
<WORD coords="1378,2331,1565,2272,2309">raya:</WORD>
<WORD coords="1598,2316,1755,2260,2314">mul-</WORD>
</LINE>
<LINE>
<WORD coords="222,2412,441,2335,2393">tiplico</WORD>
<WORD coords="517,2399,575,2345,2399">el</WORD>
<WORD coords="629,2402,710,2349,2405">43</WORD>
<WORD coords="774,2423,884,2365,2404">por</WORD>
<WORD coords="937,2405,971,2355,2409">3</WORD>
<WORD coords="1003,2420,1021,2396,2416">,</WORD>
<WORD coords="1075,2410,1134,2353,2410">el</WORD>
<WORD coords="1207,2431,1513,2358,2413">producto</WORD>
<WORD coords="1576,2420,1692,2366,2419">129</WORD>
<WORD coords="1743,2421,1908,2374,2420">resto</WORD>
<WORD coords="1962,2423,2040,2364,2422">de</WORD>
<WORD coords="2097,2426,2213,2371,2425">147</WORD>
<WORD coords="2246,2443,2263,2410,2443">,</WORD>
<WORD coords="2307,2443,2345,2386,2442">y</WORD>
<WORD coords="2399,2441,2590,2376,2423">tengo</WORD>
</LINE>
<LINE>
<WORD coords="224,2499,284,2440,2498">la</WORD>
<WORD coords="336,2509,499,2460,2506">resta</WORD>
<WORD coords="548,2510,640,2457,2511">18.</WORD>
<WORD coords="736,2510,823,2454,2509">Al</WORD>
<WORD coords="894,2514,1035,2456,2512">lado</WORD>
<WORD coords="1091,2518,1200,2459,2517">del</WORD>
<WORD coords="1285,2521,1356,2469,2521">18</WORD>
<WORD coords="1434,2545,1576,2466,2522">bajo</WORD>
<WORD coords="1657,2525,1713,2469,2525">el</WORD>
<WORD coords="1788,2539,2049,2470,2527">período</WORD>
<WORD coords="2124,2552,2435,2472,2530">siguiente</WORD>
<WORD coords="2510,2528,2592,2473,2528">56</WORD>
</LINE>
<LINE>
<WORD coords="224,2634,270,2573,2633">y</WORD>
<WORD coords="319,2633,536,2575,2614">separo</WORD>
<WORD coords="590,2616,649,2560,2616">el</WORD>
<WORD coords="707,2618,748,2565,2623">6</WORD>
<WORD coords="806,2621,920,2581,2619">con</WORD>
<WORD coords="976,2621,1032,2566,2620">la</WORD>
<WORD coords="1089,2628,1265,2586,2625">coma</WORD>
<WORD coords="1300,2642,1319,2596,2642">;</WORD>
<WORD coords="1371,2646,1623,2572,2630">duplico</WORD>
<WORD coords="1682,2633,1739,2578,2632">el</WORD>
<WORD coords="1799,2634,1877,2583,2634">23</WORD>
<WORD coords="1933,2636,2010,2579,2635">de</WORD>
<WORD coords="2069,2637,2125,2582,2636">la</WORD>
<WORD coords="2188,2637,2314,2581,2636">raiz</WORD>
<WORD coords="2350,2650,2368,2621,2650">,</WORD>
<WORD coords="2421,2654,2462,2595,2644">y</WORD>
<WORD coords="2517,2634,2580,2575,2633">el</WORD>
</LINE>
<LINE>
<WORD coords="220,2736,416,2662,2719">duplo</WORD>
<WORD coords="468,2722,550,2669,2725">46</WORD>
<WORD coords="599,2729,838,2668,2724">asiento</WORD>
<WORD coords="913,2753,1137,2671,2728">debajo</WORD>
<WORD coords="1196,2733,1297,2676,2732">del</WORD>
<WORD coords="1364,2736,1475,2686,2735">185</WORD>
<WORD coords="1507,2749,1526,2703,2749">;</WORD>
<WORD coords="1581,2755,1752,2695,2737">parto</WORD>
<WORD coords="1809,2741,1940,2696,2739">este</WORD>
<WORD coords="1996,2743,2258,2702,2741">numero</WORD>
<WORD coords="2306,2758,2416,2700,2738">por</WORD>
<WORD coords="2469,2751,2580,2684,2741">46,</WORD>
</LINE>
<LINE>
<WORD coords="219,2827,517,2769,2825">diciendo</WORD>
<WORD coords="547,2831,562,2793,2835">:</WORD>
<WORD coords="623,2831,666,2782,2835">4</WORD>
<WORD coords="719,2832,792,2795,2831">en</WORD>
<WORD coords="852,2834,922,2785,2835">18</WORD>
<WORD coords="980,2838,1123,2782,2837">cabe</WORD>
<WORD coords="1181,2843,1223,2793,2843">4</WORD>
<WORD coords="1272,2843,1451,2805,2842">veces</WORD>
<WORD coords="1483,2859,1502,2831,2859">,</WORD>
<WORD coords="1554,2861,1673,2807,2845">que</WORD>
<WORD coords="1732,2847,1973,2790,2845">escribo</WORD>
<WORD coords="2044,2848,2119,2810,2847">en</WORD>
<WORD coords="2174,2846,2231,2791,2846">la</WORD>
<WORD coords="2286,2845,2418,2789,2843">raiz</WORD>
<WORD coords="2450,2854,2471,2827,2849">,</WORD>
<WORD coords="2522,2844,2586,2783,2843">al</WORD>
</LINE>
<LINE>
<WORD coords="216,2934,362,2874,2933">lado</WORD>
<WORD coords="420,2937,522,2878,2936">del</WORD>
<WORD coords="578,2938,660,2886,2940">46</WORD>
<WORD coords="692,2950,708,2927,2950">,</WORD>
<WORD coords="760,2961,805,2903,2961">y</WORD>
<WORD coords="853,2968,1076,2887,2942">debajo</WORD>
<WORD coords="1129,2947,1207,2890,2947">de</WORD>
<WORD coords="1266,2949,1320,2892,2949">ú</WORD>
<WORD coords="1374,2966,1631,2895,2949">mismo;</WORD>
<WORD coords="1674,2961,2015,2896,2951">multiplico</WORD>
<WORD coords="2092,2953,2284,2893,2950">ahora</WORD>
<WORD coords="2347,2948,2404,2893,2947">el</WORD>
<WORD coords="2479,2946,2583,2907,2945">co-</WORD>
</LINE>
<LINE>
<WORD coords="212,3040,415,2983,3037">ciente</WORD>
<WORD coords="463,3042,504,2995,3046">4</WORD>
<WORD coords="558,3059,667,3006,3043">por</WORD>
<WORD coords="719,3047,843,2994,3046">464</WORD>
<WORD coords="879,3061,895,3035,3061">,</WORD>
<WORD coords="948,3070,988,3014,3060">y</WORD>
<WORD coords="1045,3050,1101,2996,3049">el</WORD>
<WORD coords="1163,3070,1465,2994,3055">producto</WORD>
<WORD coords="1528,3058,1682,3006,3057">1856</WORD>
<WORD coords="1751,3059,1918,3012,3057">resto</WORD>
<WORD coords="1973,3058,2075,3001,3057">del</WORD>
<WORD coords="2135,3056,2291,3001,3053">1856</WORD>
<WORD coords="2344,3052,2420,2996,3052">de</WORD>
<WORD coords="2476,3050,2579,3010,3050">ar.</WORD>
</LINE>
<LINE>
<WORD coords="213,3144,347,3089,3143">riba</WORD>
<WORD coords="385,3157,401,3134,3157">,</WORD>
<WORD coords="449,3147,507,3092,3146">lo</WORD>
<WORD coords="569,3167,688,3113,3150">que</WORD>
<WORD coords="750,3153,847,3115,3151">me</WORD>
<WORD coords="908,3155,985,3099,3154">da</WORD>
<WORD coords="1037,3157,1081,3109,3157">O</WORD>
<WORD coords="1150,3164,1511,3103,3159">diferencia.</WORD>
<WORD coords="1605,3185,1776,3107,3161">Digo</WORD>
<WORD coords="1801,3179,1823,3150,3179">,</WORD>
<WORD coords="1879,3184,2027,3125,3165">pues</WORD>
<WORD coords="2058,3180,2079,3148,3180">,</WORD>
<WORD coords="2128,3183,2250,3124,3161">que</WORD>
<WORD coords="2323,3158,2381,3102,3157">la</WORD>
<WORD coords="2433,3158,2575,3098,3156">raii</WORD>
</LINE>
<LINE>
<WORD coords="226,3252,539,3194,3251">cuadrada</WORD>
<WORD coords="596,3257,672,3200,3256">de</WORD>
<WORD coords="727,3260,932,3207,3259">54756</WORD>
<WORD coords="980,3262,1046,3226,3261">es</WORD>
<WORD coords="1099,3268,1513,3220,3265">esactamente</WORD>
<WORD coords="1574,3271,1718,3218,3269">234.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="464,3383,737,3300,3359">Ejemplo</WORD>
<WORD coords="787,3364,822,3315,3367">2</WORD>
<WORD coords="1017,3368,1106,3310,3367">La</WORD>
<WORD coords="1154,3373,1290,3317,3370">raiz</WORD>
<WORD coords="1325,3375,1636,3317,3373">cuadrada</WORD>
<WORD coords="1667,3376,1747,3318,3375">de</WORD>
</LINE>
<LINE>
<WORD coords="209,3461,249,3404,3467">7</WORD>
<WORD coords="308,3460,376,3422,3458">es</WORD>
<WORD coords="451,3465,487,3415,3469">2</WORD>
<WORD coords="544,3485,578,3429,3479">y</WORD>
<WORD coords="643,3472,871,3417,3469">sobran</WORD>
<WORD coords="927,3474,983,3421,3473">3.</WORD>
<WORD coords="1077,3477,1142,3420,3476">Si</WORD>
<WORD coords="1220,3494,1570,3424,3478">aprocsimo</WORD>
<WORD coords="1631,3497,1740,3441,3482">por</WORD>
</LINE>
<LINE>
<WORD coords="199,3584,520,3512,3569">quebrado</WORD>
<WORD coords="586,3577,809,3535,3573">común</WORD>
<WORD coords="842,3594,860,3565,3589">,</WORD>
<WORD coords="891,3584,1189,3526,3581">escribiré</WORD>
<WORD coords="1248,3584,1304,3527,3583">al</WORD>
<WORD coords="1362,3585,1505,3528,3584">lado</WORD>
<WORD coords="1544,3587,1623,3530,3586">de</WORD>
<WORD coords="1678,3589,1735,3530,3586">la</WORD>
</LINE>
<LINE>
<WORD coords="201,3676,335,3618,3674">raiz</WORD>
<WORD coords="387,3678,422,3629,3681">2</WORD>
<WORD coords="475,3680,529,3629,3678">la</WORD>
<WORD coords="575,3684,735,3640,3682">resta</WORD>
<WORD coords="771,3684,805,3634,3684">3</WORD>
<WORD coords="832,3704,849,3674,3704">,</WORD>
<WORD coords="890,3708,928,3650,3699">y</WORD>
<WORD coords="989,3691,1042,3634,3688">le</WORD>
<WORD coords="1105,3711,1308,3652,3689">pongo</WORD>
<WORD coords="1371,3703,1479,3654,3689">por</WORD>
<WORD coords="1535,3693,1727,3636,3692">deno-</WORD>
</LINE>
<LINE>
<WORD coords="198,3783,485,3720,3780">minador</WORD>
<WORD coords="543,3785,600,3731,3784">el</WORD>
<WORD coords="649,3802,845,3732,3789">duplo</WORD>
<WORD coords="906,3793,985,3738,3793">de</WORD>
<WORD coords="1050,3796,1102,3741,3794">la</WORD>
<WORD coords="1161,3796,1287,3741,3795">raiz</WORD>
<WORD coords="1365,3798,1606,3738,3796">hallada</WORD>
<WORD coords="1662,3817,1723,3750,3808">2,</WORD>
</LINE>
<LINE>
<WORD coords="207,3900,327,3844,3885">que</WORD>
<WORD coords="383,3891,452,3851,3889">es</WORD>
<WORD coords="503,3892,544,3841,3895">4</WORD>
<WORD coords="594,3914,637,3857,3906">y</WORD>
<WORD coords="696,3897,825,3859,3896">mas</WORD>
<WORD coords="879,3900,903,3849,3900">1</WORD>
<WORD coords="942,3915,960,3887,3915">,</WORD>
<WORD coords="998,3921,1119,3863,3902">que</WORD>
<WORD coords="1169,3901,1234,3864,3900">es</WORD>
<WORD coords="1288,3901,1325,3854,3901">5</WORD>
<WORD coords="1355,3919,1372,3872,3909">;</WORD>
<WORD coords="1405,3899,1479,3847,3899">He</WORD>
<WORD coords="1534,3908,1728,3850,3906">modo</WORD>
</LINE>
<LINE>
<WORD coords="212,4012,330,3948,3994">que</WORD>
<WORD coords="381,3998,439,3941,3996">la</WORD>
<WORD coords="484,4002,612,3943,4001">raiz</WORD>
<WORD coords="660,4023,1094,3949,4006">aprocsimada</WORD>
<WORD coords="1141,4010,1277,3969,4007">sera</WORD>
<WORD coords="1330,4010,1365,3965,4010">2</WORD>
<WORD coords="1426,4035,1509,3952,4012">-|&quot;</WORD>
<WORD coords="1566,4012,1624,3959,4010">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1546,4115,1607,4039,4083">*5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="461,4213,531,4150,4212">Si</WORD>
<WORD coords="591,4234,811,4156,4217">quiero</WORD>
<WORD coords="866,4240,1251,4164,4221">aprocsiraar</WORD>
<WORD coords="1311,4226,1487,4163,4223">hasta</WORD>
<WORD coords="1537,4226,1599,4168,4225">el</WORD>
<WORD coords="1648,4227,1735,4169,4224">ir&gt;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0123.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0124.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0124.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1754,696,1970,586,696">114</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="682,814,858,757,812">finito</WORD>
<WORD coords="894,827,909,801,823">,</WORD>
<WORD coords="965,813,1026,757,812">lo</WORD>
<WORD coords="1085,814,1235,757,811">haré</WORD>
<WORD coords="1279,824,1393,775,812">por</WORD>
<WORD coords="1459,816,1796,756,813">decimales</WORD>
<WORD coords="1835,830,1850,784,830">;</WORD>
<WORD coords="1907,834,2050,781,817">para</WORD>
<WORD coords="2099,823,2216,765,820">é&apos;tlo</WORD>
<WORD coords="2263,824,2469,766,822">añado</WORD>
<WORD coords="2526,826,2643,766,825">dos</WORD>
<WORD coords="2705,833,2877,788,830">ceros</WORD>
<WORD coords="2927,836,2957,779,836">á</WORD>
<WORD coords="3000,837,3064,766,835">ta</WORD>
</LINE>
<LINE>
<WORD coords="681,918,844,874,917">resta</WORD>
<WORD coords="902,918,935,868,922">3</WORD>
<WORD coords="971,930,985,907,930">,</WORD>
<WORD coords="1032,940,1071,883,940">y</WORD>
<WORD coords="1131,940,1375,866,919">ejecuto</WORD>
<WORD coords="1435,920,1494,863,919">lo</WORD>
<WORD coords="1557,922,1772,864,920">demás</WORD>
<WORD coords="1826,927,2145,866,924">conforme</WORD>
<WORD coords="2203,929,2232,876,929">á</WORD>
<WORD coords="2287,950,2492,875,928">regla,</WORD>
<WORD coords="2551,952,2591,895,952">y</WORD>
<WORD coords="2644,957,2837,899,935">según</WORD>
<WORD coords="2879,939,2943,902,938">se</WORD>
<WORD coords="2980,943,3054,904,941">ve</WORD>
</LINE>
<LINE>
<WORD coords="679,1027,723,969,1027">&amp;</WORD>
<WORD coords="769,1027,827,968,1025">la</WORD>
<WORD coords="897,1025,994,989,1024">ma</WORD>
<WORD coords="1034,1044,1174,990,1024">gen.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="934,1134,1420,1076,1129">Demostración.</WORD>
<WORD coords="1515,1139,1914,1079,1137">Razonemos</WORD>
<WORD coords="1968,1139,2149,1083,1138">sobre</WORD>
<WORD coords="2196,1139,2253,1084,1139">el</WORD>
<WORD coords="2308,1145,2570,1104,1143">numero</WORD>
<WORD coords="2641,1150,2862,1096,1148">54756.</WORD>
<WORD coords="2950,1153,3056,1085,1152">-AÍ</WORD>
</LINE>
<LINE>
<WORD coords="681,1235,1000,1189,1233">momento</WORD>
<WORD coords="1057,1254,1176,1200,1237">que</WORD>
<WORD coords="1225,1238,1341,1201,1237">veo</WORD>
<WORD coords="1393,1239,1466,1203,1239">en</WORD>
<WORD coords="1521,1243,1651,1198,1241">este</WORD>
<WORD coords="1705,1246,1967,1206,1243">numero</WORD>
<WORD coords="2018,1246,2148,1210,1245">mas</WORD>
<WORD coords="2189,1246,2265,1190,1246">de</WORD>
<WORD coords="2322,1247,2435,1191,1246">dos</WORD>
<WORD coords="2500,1271,2849,1198,1253">guarismos</WORD>
<WORD coords="2884,1269,2899,1244,1262">,</WORD>
<WORD coords="2958,1256,3051,1201,1255">in»</WORD>
</LINE>
<LINE>
<WORD coords="679,1339,831,1280,1338">fiero</WORD>
<WORD coords="892,1358,1010,1306,1341">que</WORD>
<WORD coords="1072,1345,1144,1308,1344">su</WORD>
<WORD coords="1204,1346,1337,1290,1343">raiz</WORD>
<WORD coords="1389,1348,1553,1291,1346">tiene</WORD>
<WORD coords="1603,1353,1868,1293,1349">decenas</WORD>
<WORD coords="1927,1371,1968,1314,1362">y</WORD>
<WORD coords="2010,1353,2313,1296,1351">unidades</WORD>
<WORD coords="2346,1367,2362,1323,1367">;</WORD>
<WORD coords="2420,1375,2652,1320,1358">porque</WORD>
<WORD coords="2714,1359,2763,1302,1358">si</WORD>
<WORD coords="2814,1367,3061,1305,1360">tubi.eraf</WORD>
</LINE>
<LINE>
<WORD coords="681,1444,820,1388,1442">solo</WORD>
<WORD coords="871,1448,1173,1392,1446">unidades</WORD>
<WORD coords="1201,1464,1217,1436,1459">,</WORD>
<WORD coords="1257,1452,1327,1414,1450">su</WORD>
<WORD coords="1374,1454,1687,1397,1451">cuadrado</WORD>
<WORD coords="1733,1454,1812,1418,1454">no</WORD>
<WORD coords="1875,1473,2111,1402,1457">pasaría</WORD>
<WORD coords="2183,1481,2469,1405,1459">(observ.</WORD>
<WORD coords="2524,1465,2579,1419,1461">2.</WORD>
<WORD coords="2607,1445,2642,1409,1450">°</WORD>
<WORD coords="2669,1487,2716,1408,1475">)</WORD>
<WORD coords="2772,1464,2871,1409,1464">del</WORD>
<WORD coords="2930,1485,3053,1410,1466">pri-</WORD>
</LINE>
<LINE>
<WORD coords="678,1550,818,1510,1549">mer</WORD>
<WORD coords="876,1569,980,1514,1551">par</WORD>
<WORD coords="1036,1555,1297,1501,1552">contado</WORD>
<WORD coords="1348,1557,1426,1500,1557">de</WORD>
<WORD coords="1478,1560,1745,1502,1558">derecha</WORD>
<WORD coords="1796,1562,1828,1508,1562">á</WORD>
<WORD coords="1889,1579,2243,1506,1563">izquierda.</WORD>
<WORD coords="2334,1566,2396,1510,1565">Si</WORD>
<WORD coords="2459,1570,2740,1513,1568">contiene</WORD>
<WORD coords="2794,1574,2847,1516,1572">ia</WORD>
<WORD coords="2906,1574,3044,1534,1572">raíz</WORD>
</LINE>
<LINE>
<WORD coords="675,1656,945,1597,1655">decenas</WORD>
<WORD coords="987,1676,1024,1621,1671">y</WORD>
<WORD coords="1060,1661,1362,1604,1659">unidades</WORD>
<WORD coords="1400,1676,1416,1650,1671">,</WORD>
<WORD coords="1446,1664,1520,1627,1664">en</WORD>
<WORD coords="1561,1666,1747,1609,1664">dichi</WORD>
<WORD coords="1797,1673,2055,1631,1668">numero</WORD>
<WORD coords="2118,1672,2304,1613,1669">habrá</WORD>
<WORD coords="2348,1672,2432,1617,1671">las</WORD>
<WORD coords="2488,1674,2611,1629,1673">tres</WORD>
<WORD coords="2652,1688,2848,1630,1675">partes</WORD>
<WORD coords="2883,1692,2900,1665,1692">,</WORD>
<WORD coords="2932,1696,3053,1635,1678">que</WORD>
</LINE>
<LINE>
<WORD coords="684,1760,797,1721,1759">son</WORD>
<WORD coords="840,1764,1157,1707,1762">cuadrado</WORD>
<WORD coords="1212,1768,1289,1712,1767">de</WORD>
<WORD coords="1355,1772,1616,1713,1769">decenas</WORD>
<WORD coords="1651,1787,1669,1759,1787">r</WORD>
<WORD coords="1723,1788,1914,1716,1772">duplo</WORD>
<WORD coords="1967,1775,2044,1717,1774">de</WORD>
<WORD coords="2100,1777,2362,1720,1775">decenas</WORD>
<WORD coords="2437,1796,2546,1742,1777">por</WORD>
<WORD coords="2610,1781,2911,1725,1780">unidades</WORD>
<WORD coords="2945,1798,2963,1770,1798">,</WORD>
<WORD coords="3013,1803,3057,1735,1803">f</WORD>
</LINE>
<LINE>
<WORD coords="680,1869,1001,1812,1866">cuadrado</WORD>
<WORD coords="1048,1869,1125,1814,1868">de</WORD>
<WORD coords="1184,1875,1487,1815,1872">unidades</WORD>
<WORD coords="1521,1879,1544,1837,1870">,*</WORD>
<WORD coords="1595,1893,1740,1839,1876">pero</WORD>
<WORD coords="1787,1879,1844,1824,1878">el</WORD>
<WORD coords="1906,1882,2222,1824,1879">cuadrado</WORD>
<WORD coords="2298,1882,2375,1829,1882">de</WORD>
<WORD coords="2451,1886,2711,1828,1884">decenas</WORD>
<WORD coords="2771,1906,3053,1830,1888">empieza</WORD>
</LINE>
<LINE>
<WORD coords="689,1973,886,1915,1972">desde</WORD>
<WORD coords="937,1974,992,1918,1973">el</WORD>
<WORD coords="1045,1975,1165,1922,1972">2.°</WORD>
<WORD coords="1230,1995,1392,1940,1978">par;</WORD>
<WORD coords="1445,2004,1628,1924,1981">luego</WORD>
<WORD coords="1688,1992,1830,1947,1983">para</WORD>
<WORD coords="1907,1987,2103,1928,1984">hallar</WORD>
<WORD coords="2160,1989,2232,1953,1988">su</WORD>
<WORD coords="2298,1992,2434,1933,1989">raiz</WORD>
<WORD coords="2510,1989,2588,1954,1988">no</WORD>
<WORD coords="2641,1998,3054,1939,1994">necesitamos</WORD>
</LINE>
<LINE>
<WORD coords="676,2081,781,2023,2080">del</WORD>
<WORD coords="832,2100,1064,2024,2079">primer</WORD>
<WORD coords="1106,2102,1251,2047,2083">par,</WORD>
<WORD coords="1322,2104,1442,2048,2087">que</WORD>
<WORD coords="1507,2107,1614,2050,2086">por</WORD>
<WORD coords="1675,2091,1840,2046,2090">tanto</WORD>
<WORD coords="1897,2092,1955,2037,2091">lo</WORD>
<WORD coords="2018,2108,2373,2055,2094">separamos</WORD>
<WORD coords="2412,2111,2428,2086,2111">,</WORD>
<WORD coords="2474,2117,2513,2060,2108">y</WORD>
<WORD coords="2568,2100,2848,2052,2099">tenemos</WORD>
<WORD coords="2907,2113,3059,2050,2105">547*</WORD>
</LINE>
<LINE>
<WORD coords="679,2189,784,2135,2189">56.</WORD>
<WORD coords="878,2188,954,2132,2188">El</WORD>
<WORD coords="1006,2192,1326,2133,2190">cuadrado</WORD>
<WORD coords="1385,2195,1462,2136,2194">de</WORD>
<WORD coords="1519,2197,1781,2137,2195">decenas</WORD>
<WORD coords="1836,2198,1914,2162,2197">no</WORD>
<WORD coords="1971,2218,2112,2163,2198">pasa</WORD>
<WORD coords="2165,2200,2260,2146,2200">de!</WORD>
<WORD coords="2325,2203,2380,2156,2202">2.</WORD>
<WORD coords="2500,2222,2605,2168,2205">par</WORD>
<WORD coords="2663,2205,2739,2150,2204">de</WORD>
<WORD coords="2800,2229,3039,2152,2207">guaris-</WORD>
</LINE>
<LINE>
<WORD coords="677,2295,812,2254,2291">mos-.</WORD>
<WORD coords="837,2308,853,2260,2308">;</WORD>
<WORD coords="905,2311,1051,2256,2294">pero</WORD>
<WORD coords="1094,2314,1239,2241,2298">aquí</WORD>
<WORD coords="1299,2314,1420,2241,2299">hay</WORD>
<WORD coords="1493,2302,1619,2255,2300">tres</WORD>
<WORD coords="1703,2324,2097,2248,2303">guarismos;</WORD>
<WORD coords="2161,2329,2345,2253,2305">luego</WORD>
<WORD coords="2406,2309,2480,2274,2309">en</WORD>
<WORD coords="2538,2311,2592,2255,2310">la</WORD>
<WORD coords="2670,2316,2801,2256,2312">raiz</WORD>
<WORD coords="2856,2317,3046,2257,2311">habrá</WORD>
</LINE>
<LINE>
<WORD coords="684,2401,972,2356,2398">centenas</WORD>
<WORD coords="1009,2419,1027,2387,2419">,</WORD>
<WORD coords="1073,2421,1108,2364,2415">y</WORD>
<WORD coords="1165,2403,1238,2367,2402">en</WORD>
<WORD coords="1303,2406,1359,2350,2404">el</WORD>
<WORD coords="1413,2407,1673,2368,2405">numero</WORD>
<WORD coords="1730,2428,2063,2367,2410">propuesto</WORD>
<WORD coords="2137,2415,2320,2356,2412">habrá</WORD>
<WORD coords="2394,2420,2664,2360,2416">también</WORD>
<WORD coords="2726,2420,3046,2363,2417">cuadrado</WORD>
</LINE>
<LINE>
<WORD coords="676,2506,757,2449,2505">de</WORD>
<WORD coords="812,2508,1095,2463,2506">centenas</WORD>
<WORD coords="1153,2529,1191,2474,2527">y</WORD>
<WORD coords="1251,2525,1441,2455,2510">duplo</WORD>
<WORD coords="1502,2512,1578,2458,2512">de</WORD>
<WORD coords="1639,2516,1924,2473,2514">centenas</WORD>
<WORD coords="1979,2535,2090,2481,2517">por</WORD>
<WORD coords="2137,2521,2399,2463,2520">decenas</WORD>
<WORD coords="2436,2522,2448,2488,2522">:</WORD>
<WORD coords="2487,2523,2673,2466,2521">ahora</WORD>
<WORD coords="2704,2539,2719,2512,2532">,</WORD>
<WORD coords="2746,2525,2923,2488,2522">como</WORD>
<WORD coords="2982,2530,3040,2466,2526">eí</WORD>
</LINE>
<LINE>
<WORD coords="678,2614,997,2557,2611">cuadrado</WORD>
<WORD coords="1058,2617,1135,2559,2616">de</WORD>
<WORD coords="1188,2620,1474,2573,2617">centenas</WORD>
<WORD coords="1533,2622,1849,2565,2620">comienza</WORD>
<WORD coords="1906,2627,2097,2569,2624">desde</WORD>
<WORD coords="2146,2626,2198,2572,2625">el</WORD>
<WORD coords="2252,2628,2454,2582,2627">te*cer</WORD>
<WORD coords="2512,2644,2664,2592,2627">par,</WORD>
<WORD coords="2722,2630,2798,2594,2628">no</WORD>
<WORD coords="2861,2632,3040,2595,2631">nece-</WORD>
</LINE>
<LINE>
<WORD coords="679,2720,1014,2663,2718">cesitamos</WORD>
<WORD coords="1066,2722,1164,2666,2721">del</WORD>
<WORD coords="1226,2724,1280,2677,2725">2.</WORD>
<WORD coords="1310,2707,1341,2670,2707">c</WORD>
<WORD coords="1404,2744,1549,2687,2725">para</WORD>
<WORD coords="1609,2727,1775,2691,2726">sacar</WORD>
<WORD coords="1820,2730,1905,2676,2728">las</WORD>
<WORD coords="1958,2733,2243,2689,2732">centenas</WORD>
<WORD coords="2303,2733,2378,2678,2733">de</WORD>
<WORD coords="2432,2733,2484,2684,2732">la</WORD>
<WORD coords="2545,2740,2677,2679,2734">raiz</WORD>
<WORD coords="2711,2748,2725,2724,2748">,</WORD>
<WORD coords="2773,2755,2812,2700,2746">y</WORD>
<WORD coords="2854,2738,2940,2682,2736">asi</WORD>
<WORD coords="2978,2747,3046,2683,2743">Ifr</WORD>
</LINE>
<LINE>
<WORD coords="665,2841,1029,2785,2823">separamos</WORD>
<WORD coords="1089,2832,1203,2791,2826">con</WORD>
<WORD coords="1265,2828,1315,2778,2826">la</WORD>
<WORD coords="1371,2832,1550,2796,2830">coma</WORD>
<WORD coords="1617,2832,1689,2778,2832">de</WORD>
<WORD coords="1757,2834,1883,2791,2833">esta</WORD>
<WORD coords="1941,2839,2186,2800,2837">manera</WORD>
<WORD coords="2236,2854,2421,2791,2846">5,47</WORD>
<WORD coords="2454,2856,2470,2831,2849">,</WORD>
<WORD coords="2502,2842,2597,2790,2841">56.</WORD>
<WORD coords="2698,2840,2813,2785,2840">Del</WORD>
<WORD coords="2888,2845,3035,2788,2842">mis-</WORD>
</LINE>
<LINE>
<WORD coords="668,2929,774,2886,2928">mo</WORD>
<WORD coords="836,2931,1021,2876,2928">modo</WORD>
<WORD coords="1066,2938,1570,2877,2935">discurriríamos</WORD>
<WORD coords="1603,2955,1621,2927,2948">,</WORD>
<WORD coords="1669,2939,1717,2885,2938">si</WORD>
<WORD coords="1774,2943,2031,2884,2940">hubiera</WORD>
<WORD coords="2104,2945,2231,2909,2944">mas</WORD>
<WORD coords="2276,2963,2640,2893,2946">guarismos.</WORD>
<WORD coords="2744,2946,2838,2891,2945">De</WORD>
<WORD coords="2902,2952,3032,2903,2948">este</WORD>
</LINE>
<LINE>
<WORD coords="668,3050,1162,2981,3033">procedimiento</WORD>
<WORD coords="1223,3038,1285,3005,3038">se</WORD>
<WORD coords="1334,3045,1544,2984,3043">infiere</WORD>
<WORD coords="1576,3060,1596,3032,3059">,</WORD>
<WORD coords="1630,3059,1749,2985,3044">qué</WORD>
<WORD coords="1809,3049,2057,3002,3047">cuantos</WORD>
<WORD coords="2112,3071,2396,2997,3050">periodos</WORD>
<WORD coords="2457,3073,2619,2998,3052">haya</WORD>
<WORD coords="2681,3054,2751,3015,3052">en</WORD>
<WORD coords="2803,3055,2883,3016,3054">un</WORD>
<WORD coords="2916,3055,3031,3015,3054">nu-</WORD>
</LINE>
<LINE>
<WORD coords="664,3139,827,3098,3137">mero</WORD>
<WORD coords="862,3156,879,3127,3152">,</WORD>
<WORD coords="936,3143,1138,3097,3141">tantos</WORD>
<WORD coords="1188,3164,1545,3110,3146">guarismos</WORD>
<WORD coords="1593,3153,1787,3095,3149">habrá</WORD>
<WORD coords="1840,3152,1908,3115,3151">en</WORD>
<WORD coords="1961,3154,2033,3118,3153">su</WORD>
<WORD coords="2092,3158,2251,3102,3156">raiz.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="922,3250,1014,3191,3247">En</WORD>
<WORD coords="1075,3249,1128,3208,3248">el</WORD>
<WORD coords="1190,3252,1390,3208,3251">tercer</WORD>
<WORD coords="1446,3267,1703,3201,3255">periodo</WORD>
<WORD coords="1759,3257,1792,3209,3258">5</WORD>
<WORD coords="1857,3260,1954,3205,3259">del</WORD>
<WORD coords="1998,3263,2256,3225,3261">numero</WORD>
<WORD coords="2315,3265,2346,3215,3265">5</WORD>
<WORD coords="2387,3276,2400,3254,3272">,</WORD>
<WORD coords="2425,3268,2506,3213,3267">47</WORD>
<WORD coords="2546,3267,2557,3255,3266">.</WORD>
<WORD coords="2580,3266,2658,3214,3266">56</WORD>
<WORD coords="2698,3267,2823,3211,3264">está</WORD>
<WORD coords="2851,3280,2866,3254,3280">,</WORD>
<WORD coords="2919,3288,3033,3225,3267">por</WORD>
</LINE>
<LINE>
<WORD coords="666,3351,731,3293,3350">lo</WORD>
<WORD coords="798,3364,1035,3296,3351">dicho.,</WORD>
<WORD coords="1092,3357,1145,3303,3355">él</WORD>
<WORD coords="1210,3362,1522,3307,3358">cuadrado</WORD>
<WORD coords="1564,3366,1638,3315,3364">de</WORD>
<WORD coords="1694,3372,2023,3320,3363">centenas,</WORD>
<WORD coords="2064,3387,2244,3315,3366">luego</WORD>
<WORD coords="2302,3372,2374,3334,3369">su</WORD>
<WORD coords="2435,3372,2569,3317,3370">raiz</WORD>
<WORD coords="2623,3373,2657,3327,3373">2</WORD>
<WORD coords="2706,3373,2881,3338,3372">serán</WORD>
<WORD coords="2940,3376,3033,3319,3374">las</WORD>
</LINE>
<LINE>
<WORD coords="667,3459,953,3414,3456">Centenas</WORD>
<WORD coords="986,3477,1005,3429,3473">;</WORD>
<WORD coords="1059,3465,1245,3408,3462">ahora</WORD>
<WORD coords="1304,3469,1376,3432,3466">su</WORD>
<WORD coords="1431,3470,1747,3413,3468">cuadrado</WORD>
<WORD coords="1801,3472,1840,3421,3472">4</WORD>
<WORD coords="1901,3472,2201,3428,3469">restamos</WORD>
<WORD coords="2250,3472,2347,3416,3471">del</WORD>
<WORD coords="2411,3472,2445,3427,3472">5</WORD>
<WORD coords="2483,3488,2499,3462,3488">,</WORD>
<WORD coords="2554,3491,2698,3439,3476">para</WORD>
<WORD coords="2780,3478,2886,3441,3477">ver</WORD>
<WORD coords="2946,3481,3037,3426,3478">las</WORD>
</LINE>
<LINE>
<WORD coords="664,3565,967,3508,3562">unidades</WORD>
<WORD coords="1050,3583,1168,3533,3569">que</WORD>
<WORD coords="1230,3589,1429,3516,3572">puede</WORD>
<WORD coords="1487,3575,1675,3517,3574">haber</WORD>
<WORD coords="1728,3574,1804,3519,3574">de</WORD>
<WORD coords="1864,3575,1990,3539,3574">mas</WORD>
<WORD coords="2061,3593,2170,3539,3576">por</WORD>
<WORD coords="2223,3578,2406,3539,3577">causa</WORD>
<WORD coords="2458,3578,2534,3523,3578">de</WORD>
<WORD coords="2610,3584,2666,3529,3583">la</WORD>
<WORD coords="2722,3585,2897,3546,3583">suma</WORD>
<WORD coords="2930,3601,2946,3570,3601">,</WORD>
<WORD coords="2991,3603,3034,3540,3603">y</WORD>
</LINE>
<LINE>
<WORD coords="666,3674,972,3617,3670">reunirías</WORD>
<WORD coords="1029,3671,1058,3621,3674">á</WORD>
<WORD coords="1114,3675,1198,3621,3673">las</WORD>
<WORD coords="1253,3678,1418,3633,3676">otras</WORD>
<WORD coords="1467,3694,1667,3642,3681">partes</WORD>
<WORD coords="1719,3684,1820,3629,3683">del</WORD>
<WORD coords="1868,3691,2204,3630,3685">cuadrado.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="927,3778,1043,3721,3776">Las</WORD>
<WORD coords="1101,3785,1265,3737,3781">otras</WORD>
<WORD coords="1317,3785,1431,3731,3785">dos</WORD>
<WORD coords="1489,3803,1689,3745,3788">partes</WORD>
<WORD coords="1749,3792,1849,3734,3791">del</WORD>
<WORD coords="1909,3792,2223,3736,3791">cuadrado</WORD>
<WORD coords="2265,3796,2339,3738,3795">de</WORD>
<WORD coords="2398,3799,2684,3754,3797">centenas</WORD>
<WORD coords="2751,3819,2791,3761,3809">y</WORD>
<WORD coords="2849,3800,3034,3741,3799">dece-</WORD>
</LINE>
<LINE>
<WORD coords="664,3883,778,3840,3881">nas</WORD>
<WORD coords="833,3882,944,3842,3880">son</WORD>
<WORD coords="999,3883,1055,3831,3882">el</WORD>
<WORD coords="1106,3904,1299,3830,3885">duplo</WORD>
<WORD coords="1355,3889,1431,3834,3889">de</WORD>
<WORD coords="1488,3894,1777,3849,3892">centenas</WORD>
<WORD coords="1836,3913,1949,3859,3895">por</WORD>
<WORD coords="1995,3898,2258,3843,3896">decenas</WORD>
<WORD coords="2295,3913,2311,3888,3913">,</WORD>
<WORD coords="2364,3920,2403,3864,3910">y</WORD>
<WORD coords="2466,3901,2519,3849,3901">el</WORD>
<WORD coords="2580,3903,2893,3848,3901">cuadrado</WORD>
<WORD coords="2954,3904,3032,3848,3903">de</WORD>
</LINE>
<LINE>
<WORD coords="667,3986,932,3929,3984">decenas</WORD>
<WORD coords="969,4001,986,3953,4001">;</WORD>
<WORD coords="1034,4008,1071,3952,4003">y</WORD>
<WORD coords="1123,3991,1302,3952,3989">como</WORD>
<WORD coords="1348,3993,1403,3939,3992">el</WORD>
<WORD coords="1482,4001,1796,3939,3996">cuadrado</WORD>
<WORD coords="1857,4001,1932,3948,4001">de</WORD>
<WORD coords="1996,4004,2258,3949,4002">decenas</WORD>
<WORD coords="2318,4008,2647,3951,4006">comienza</WORD>
<WORD coords="2719,4008,2911,3951,4006">desde</WORD>
<WORD coords="2975,4008,3030,3948,4005">el</WORD>
</LINE>
<LINE>
<WORD coords="669,4092,727,4042,4094">2.</WORD>
<WORD coords="755,4073,791,4036,4088">°</WORD>
<WORD coords="849,4099,954,4053,4091">par</WORD>
<WORD coords="986,4107,1004,4080,4105">,</WORD>
<WORD coords="1037,4094,1102,4057,4093">se</WORD>
<WORD coords="1162,4098,1403,4039,4095">deduce</WORD>
<WORD coords="1438,4118,1557,4063,4099">que</WORD>
<WORD coords="1601,4103,1762,4057,4101">estas</WORD>
<WORD coords="1813,4106,1926,4050,4105">dos</WORD>
<WORD coords="1960,4125,2162,4063,4107">partes</WORD>
<WORD coords="2210,4110,2273,4075,4108">se</WORD>
<WORD coords="2314,4111,2516,4053,4110">bailan</WORD>
<WORD coords="2567,4112,2639,4076,4111">en</WORD>
<WORD coords="2669,4111,2721,4056,4110">el</WORD>
<WORD coords="2767,4128,3024,4058,4111">período</WORD>
</LINE>
<LINE>
<WORD coords="667,4200,749,4142,4203">47</WORD>
<WORD coords="787,4220,972,4140,4198">junto</WORD>
<WORD coords="1028,4203,1144,4161,4202">con</WORD>
<WORD coords="1193,4204,1251,4144,4203">la</WORD>
<WORD coords="1298,4208,1462,4163,4204">resia</WORD>
<WORD coords="1510,4227,1595,4154,4208">U*¡</WORD>
<WORD coords="1644,4211,1779,4162,4208">esto</WORD>
<WORD coords="1823,4232,1949,4162,4213">m\</WORD>
<WORD coords="1998,4214,2078,4164,4214">tñ</WORD>
<WORD coords="2128,4219,2265,4165,4217">147*</WORD>
<WORD coords="2356,4218,2437,4161,4217">El</WORD>
<WORD coords="2499,4240,2688,4162,4220">duplo</WORD>
<WORD coords="2746,4220,2821,4164,4219">de</WORD>
<WORD coords="2881,4218,3020,4179,4217">cén-</WORD>
</LINE>
<LINE>
<WORD coords="893,4307,942,4255,4305">it</WORD>
<WORD coords="1032,4301,1063,4261,4304">¿</WORD>
<WORD coords="1077,4278,1087,4258,4284">&quot;■</WORD>
<WORD coords="1116,4310,1171,4240,4308">é;</WORD>
<WORD coords="1197,4291,1200,4286,4270">•</WORD>
<WORD coords="1218,4249,1219,4244,0">&apos;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0124.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0125.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0125.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1340,732,1554,636,731">115</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="237,842,409,790,841">tenas</WORD>
<WORD coords="464,861,575,803,842">por</WORD>
<WORD coords="628,846,895,788,844">decenas</WORD>
<WORD coords="957,849,1273,791,847">comienza</WORD>
<WORD coords="1323,873,1492,799,851">(oh*.</WORD>
<WORD coords="1539,853,1584,806,851">J.</WORD>
<WORD coords="1614,838,1649,789,845">*</WORD>
<WORD coords="1675,872,1729,801,865">)</WORD>
<WORD coords="1769,858,1960,801,857">desde</WORD>
<WORD coords="2021,860,2084,804,859">ef</WORD>
<WORD coords="2133,881,2410,809,860">segundo</WORD>
<WORD coords="2454,888,2602,807,872">£úé¡</WORD>
</LINE>
<LINE>
<WORD coords="234,946,429,892,945">fismo</WORD>
<WORD coords="495,948,595,893,948">del</WORD>
<WORD coords="665,968,771,914,948">par</WORD>
<WORD coords="828,968,948,915,951">que</WORD>
<WORD coords="1015,971,1433,900,953">corresponde</WORD>
<WORD coords="1476,957,1530,905,956">al</WORD>
<WORD coords="1593,962,1906,906,959">cuadrad.,</WORD>
<WORD coords="1959,963,2032,911,963">de</WORD>
<WORD coords="2088,967,2169,915,966">las</WORD>
<WORD coords="2218,966,2479,914,964">decenas</WORD>
<WORD coords="2515,954,2528,938,955">•</WORD>
<WORD coords="2561,992,2609,935,992">y</WORD>
</LINE>
<LINE>
<WORD coords="234,1051,416,1012,1050">como</WORD>
<WORD coords="470,1053,600,1010,1052">este</WORD>
<WORD coords="638,1074,955,999,1055">guarismo</WORD>
<WORD coords="1015,1058,1077,1022,1057">es</WORD>
<WORD coords="1128,1058,1181,1004,1057">el</WORD>
<WORD coords="1229,1060,1269,1012,1062">4</WORD>
<WORD coords="1302,1078,1317,1049,1071">,</WORD>
<WORD coords="1347,1064,1578,1009,1062">resulta</WORD>
<WORD coords="1632,1082,1749,1031,1066">que</WORD>
<WORD coords="1809,1070,1991,1014,1067">dicho</WORD>
<WORD coords="2046,1090,2234,1018,1071">duplo</WORD>
<WORD coords="2286,1075,2405,1034,1073">esta</WORD>
<WORD coords="2461,1076,2471,1040,1076">i</WORD>
<WORD coords="2498,1076,2608,1045,1076">-n-</WORD>
</LINE>
<LINE>
<WORD coords="232,1158,447,1102,1157">tenido</WORD>
<WORD coords="507,1158,582,1119,1158">en</WORD>
<WORD coords="641,1160,695,1107,1160">el</WORD>
<WORD coords="763,1162,834,1113,1163">14</WORD>
<WORD coords="869,1176,884,1150,1176">,</WORD>
<WORD coords="919,1180,1028,1125,1162">por</WORD>
<WORD coords="1082,1164,1141,1108,1162">lo</WORD>
<WORD coords="1201,1183,1319,1130,1165">que</WORD>
<WORD coords="1379,1168,1430,1112,1166">le</WORD>
<WORD coords="1486,1186,1839,1134,1169">separamos</WORD>
<WORD coords="1886,1175,1996,1141,1174">con</WORD>
<WORD coords="2048,1178,2103,1124,1176">la</WORD>
<WORD coords="2160,1177,2352,1142,1176">coma.</WORD>
<WORD coords="2447,1180,2506,1130,1179">5¡</WORD>
<WORD coords="2546,1188,2608,1133,1185">ct</WORD>
</LINE>
<LINE>
<WORD coords="355,1265,419,1230,1265">es</WORD>
<WORD coords="481,1266,561,1230,1266">un</WORD>
<WORD coords="610,1284,912,1210,1267">producto</WORD>
<WORD coords="948,1284,965,1257,1284">,</WORD>
<WORD coords="995,1290,1184,1232,1270">cuyos</WORD>
<WORD coords="1226,1273,1489,1214,1271">factores</WORD>
<WORD coords="1547,1274,1654,1240,1273">son</WORD>
<WORD coords="1709,1276,1762,1227,1275">el</WORD>
<WORD coords="1818,1296,2006,1225,1279">duplo</WORD>
<WORD coords="2066,1283,2141,1230,1282">de</WORD>
<WORD coords="2196,1288,2479,1227,1284">ééntenas</WORD>
<WORD coords="2560,1300,2606,1255,1284">y*</WORD>
</LINE>
<LINE>
<WORD coords="232,1374,321,1318,1371">las</WORD>
<WORD coords="365,1372,625,1316,1371">decenas</WORD>
<WORD coords="661,1389,677,1341,1389">;</WORD>
<WORD coords="738,1389,1032,1318,1374">podemos</WORD>
<WORD coords="1086,1379,1436,1319,1376">fácilmente</WORD>
<WORD coords="1489,1381,1679,1323,1378">hallar</WORD>
<WORD coords="1737,1381,1789,1330,1381">el</WORD>
<WORD coords="1838,1386,2034,1328,1384">factor</WORD>
<WORD coords="2099,1388,2361,1334,1387">decenas</WORD>
<WORD coords="2399,1404,2411,1385,1399">,</WORD>
<WORD coords="2443,1394,2501,1336,1393">di</WORD>
<WORD coords="2517,1393,2534,1357,1393">i</WORD>
<WORD coords="2556,1393,2570,1343,1393">i</WORD>
</LINE>
<LINE>
<WORD coords="238,1479,471,1420,1475">diendo</WORD>
<WORD coords="539,1497,680,1423,1487">(65)</WORD>
<WORD coords="768,1481,823,1427,1480">el</WORD>
<WORD coords="882,1502,1189,1428,1482">producto</WORD>
<WORD coords="1262,1487,1335,1437,1487">14</WORD>
<WORD coords="1394,1504,1500,1449,1483">por</WORD>
<WORD coords="1558,1488,1633,1454,1487">un</WORD>
<WORD coords="1718,1491,1887,1447,1490">actor</WORD>
<WORD coords="1946,1498,2253,1443,1495">conocido</WORD>
<WORD coords="2286,1511,2300,1491,1506">,</WORD>
<WORD coords="2349,1502,2474,1460,1501">cuai</WORD>
<WORD coords="2540,1505,2604,1469,1503">t-s</WORD>
</LINE>
<LINE>
<WORD coords="237,1585,293,1528,1583">el</WORD>
<WORD coords="342,1597,532,1528,1582">duplo</WORD>
<WORD coords="591,1586,670,1529,1585">de</WORD>
<WORD coords="735,1587,819,1532,1585">las</WORD>
<WORD coords="865,1590,902,1541,1591">2</WORD>
<WORD coords="955,1590,1247,1545,1587">centenas</WORD>
<WORD coords="1298,1592,1552,1537,1591">sacadas</WORD>
<WORD coords="1604,1606,1618,1563,1606">;</WORD>
<WORD coords="1693,1613,1798,1560,1592">por</WORD>
<WORD coords="1859,1598,1988,1555,1597">esto</WORD>
<WORD coords="2050,1600,2111,1567,1599">es</WORD>
<WORD coords="2149,1616,2164,1591,1616">,</WORD>
<WORD coords="2216,1623,2332,1569,1605">que</WORD>
<WORD coords="2392,1607,2454,1574,1606">se</WORD>
<WORD coords="2523,1610,2600,1553,1610">ha</WORD>
</LINE>
<LINE>
<WORD coords="237,1698,572,1632,1685">duplicado</WORD>
<WORD coords="627,1690,681,1635,1690">el</WORD>
<WORD coords="738,1692,774,1644,1695">2</WORD>
<WORD coords="808,1707,825,1680,1707">,</WORD>
<WORD coords="879,1710,990,1654,1691">por</WORD>
<WORD coords="1046,1695,1118,1659,1694">su</WORD>
<WORD coords="1167,1714,1357,1641,1694">duplo</WORD>
<WORD coords="1401,1697,1463,1661,1696">se</WORD>
<WORD coords="1521,1698,1596,1642,1698">ha</WORD>
<WORD coords="1655,1703,1941,1646,1700">dividido</WORD>
<WORD coords="1994,1705,2051,1650,1705">el</WORD>
<WORD coords="2107,1707,2178,1659,1707">14</WORD>
<WORD coords="2214,1722,2229,1698,1719">,</WORD>
<WORD coords="2288,1717,2323,1677,1715">y</WORD>
<WORD coords="2379,1713,2431,1664,1712">el</WORD>
<WORD coords="2495,1721,2596,1682,1720">co-</WORD>
</LINE>
<LINE>
<WORD coords="238,1794,435,1741,1793">ciente</WORD>
<WORD coords="491,1792,523,1745,1796">3</WORD>
<WORD coords="576,1796,643,1759,1796">se</WORD>
<WORD coords="702,1799,779,1744,1798">ha</WORD>
<WORD coords="829,1819,1045,1757,1797">puerto</WORD>
<WORD coords="1096,1801,1145,1749,1800">ai</WORD>
<WORD coords="1217,1802,1356,1746,1800">lado</WORD>
<WORD coords="1407,1803,1482,1748,1802">de</WORD>
<WORD coords="1534,1805,1620,1749,1804">las</WORD>
<WORD coords="1682,1808,1715,1761,1808">2</WORD>
<WORD coords="1772,1814,2076,1766,1809">centenas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="490,1905,834,1845,1902">Volvemos</WORD>
<WORD coords="902,1908,929,1855,1912">á</WORD>
<WORD coords="983,1907,1215,1850,1905">formar</WORD>
<WORD coords="1269,1907,1354,1856,1907">las</WORD>
<WORD coords="1431,1912,1543,1856,1910">dos</WORD>
<WORD coords="1606,1930,1804,1871,1912">partes</WORD>
<WORD coords="1862,1936,2328,1863,1919">multiplicando</WORD>
<WORD coords="2396,1928,2427,1881,1928">3</WORD>
<WORD coords="2494,1935,2600,1896,1931">ñor</WORD>
</LINE>
<LINE>
<WORD coords="239,2010,274,1956,2010">a</WORD>
<WORD coords="308,2014,325,1996,2018">.</WORD>
<WORD coords="391,2010,447,1954,2009">lo</WORD>
<WORD coords="504,2028,624,1974,2009">que</WORD>
<WORD coords="678,2011,750,1956,2011">da</WORD>
<WORD coords="805,2014,861,1957,2012">el</WORD>
<WORD coords="922,2016,1237,1958,2013">cuadrado</WORD>
<WORD coords="1294,2017,1371,1961,2016">de</WORD>
<WORD coords="1420,2020,1682,1963,2018">decenas</WORD>
<WORD coords="1719,2026,1735,1990,2026">;</WORD>
<WORD coords="1791,2039,1823,1987,2030">y</WORD>
<WORD coords="1887,2022,1919,1974,2022">3</WORD>
<WORD coords="1992,2043,2099,1990,2025">por</WORD>
<WORD coords="2160,2029,2212,1976,2028">el</WORD>
<WORD coords="2274,2048,2460,1980,2033">duplo</WORD>
<WORD coords="2536,2040,2574,1994,2040">4</WORD>
</LINE>
<LINE>
<WORD coords="236,2117,296,2060,2114">lo</WORD>
<WORD coords="363,2132,481,2080,2115">que</WORD>
<WORD coords="541,2116,617,2062,2116">da</WORD>
<WORD coords="681,2118,736,2064,2117">el</WORD>
<WORD coords="785,2137,977,2063,2119">duplo</WORD>
<WORD coords="1033,2120,1108,2066,2119">de</WORD>
<WORD coords="1167,2123,1454,2080,2121">centenas</WORD>
<WORD coords="1520,2142,1629,2089,2124">por</WORD>
<WORD coords="1683,2132,1968,2071,2127">decenas.</WORD>
<WORD coords="2062,2133,2150,2077,2132">La</WORD>
<WORD coords="2209,2142,2460,2087,2138">reunión</WORD>
<WORD coords="2515,2145,2548,2093,2145">d</WORD>
<WORD coords="2559,2151,2591,2113,2151">e</WORD>
</LINE>
<LINE>
<WORD coords="235,2221,393,2175,2219">estas</WORD>
<WORD coords="441,2222,555,2166,2220">dos</WORD>
<WORD coords="635,2240,835,2182,2224">partes</WORD>
<WORD coords="896,2227,1197,2183,2225">restamos</WORD>
<WORD coords="1276,2229,1376,2174,2228">del</WORD>
<WORD coords="1440,2232,1697,2195,2230">numero</WORD>
<WORD coords="1763,2236,1876,2185,2235">147</WORD>
<WORD coords="1906,2247,1920,2227,2243">,</WORD>
<WORD coords="1978,2240,2179,2182,2238">donde</WORD>
<WORD coords="2248,2245,2311,2212,2245">se</WORD>
<WORD coords="2368,2249,2403,2193,2249">h</WORD>
<WORD coords="2454,2249,2461,2207,2249">;</WORD>
<WORD coords="2536,2252,2565,2219,2252">n</WORD>
</LINE>
<LINE>
<WORD coords="229,2348,375,2290,2325">para</WORD>
<WORD coords="409,2347,634,2273,2331">verjas</WORD>
<WORD coords="692,2333,999,2275,2330">Unidades</WORD>
<WORD coords="1057,2351,1175,2297,2333">que</WORD>
<WORD coords="1209,2336,1372,2280,2334">tiene</WORD>
<WORD coords="1424,2340,1636,2283,2338">demás</WORD>
<WORD coords="1672,2352,1689,2330,2352">,</WORD>
<WORD coords="1715,2362,1752,2306,2354">y</WORD>
<WORD coords="1786,2346,2082,2293,2343">sumarlas</WORD>
<WORD coords="2132,2350,2241,2312,2348">con</WORD>
<WORD coords="2303,2352,2385,2300,2352">las</WORD>
<WORD coords="2432,2363,2598,2309,2358">etraá</WORD>
</LINE>
<LINE>
<WORD coords="230,2452,430,2388,2432">partes</WORD>
<WORD coords="479,2453,596,2399,2436">que</WORD>
<WORD coords="652,2437,855,2392,2435">restan</WORD>
<WORD coords="914,2437,1015,2382,2436">del</WORD>
<WORD coords="1067,2442,1380,2386,2440">cuadrado</WORD>
<WORD coords="1413,2446,1428,2412,2446">;</WORD>
<WORD coords="1465,2446,1627,2404,2445">estas</WORD>
<WORD coords="1674,2450,1781,2412,2448">son</WORD>
<WORD coords="1817,2465,2004,2395,2450">duplo</WORD>
<WORD coords="2060,2453,2135,2398,2453">de</WORD>
<WORD coords="2185,2462,2437,2404,2459">decenas</WORD>
<WORD coords="2481,2478,2589,2424,2465">por</WORD>
</LINE>
<LINE>
<WORD coords="224,2543,536,2483,2539">unidades</WORD>
<WORD coords="603,2563,642,2505,2558">y</WORD>
<WORD coords="701,2551,1017,2486,2544">cuadrado</WORD>
<WORD coords="1079,2546,1155,2492,2546">de</WORD>
<WORD coords="1217,2550,1520,2494,2548">unidades</WORD>
<WORD coords="1545,2568,1561,2540,2558">,</WORD>
<WORD coords="1625,2558,2076,2501,2555">considerando</WORD>
<WORD coords="2152,2561,2202,2509,2561">e!</WORD>
<WORD coords="2261,2586,2448,2510,2566">duplo</WORD>
<WORD coords="2514,2576,2595,2516,2573">de</WORD>
</LINE>
<LINE>
<WORD coords="223,2648,508,2603,2646">centenas</WORD>
<WORD coords="556,2670,597,2612,2663">y</WORD>
<WORD coords="645,2651,906,2593,2649">decenas</WORD>
<WORD coords="941,2665,955,2640,2660">,</WORD>
<WORD coords="1015,2652,1193,2617,2651">como</WORD>
<WORD coords="1248,2674,1438,2598,2653">duplo</WORD>
<WORD coords="1495,2658,1570,2602,2657">de</WORD>
<WORD coords="1623,2661,1885,2604,2660">decenas</WORD>
<WORD coords="1942,2671,2299,2610,2665">solamente.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="471,2754,672,2697,2752">Com©</WORD>
<WORD coords="720,2755,776,2701,2754">el</WORD>
<WORD coords="833,2760,1148,2703,2758">cuadrado</WORD>
<WORD coords="1205,2762,1280,2707,2761">de</WORD>
<WORD coords="1348,2765,1647,2707,2763">unidades</WORD>
<WORD coords="1723,2771,2045,2713,2768">comienza</WORD>
<WORD coords="2114,2775,2301,2719,2772">desde</WORD>
<WORD coords="2346,2779,2400,2725,2778">el</WORD>
<WORD coords="2466,2799,2589,2729,2783">pri-</WORD>
</LINE>
<LINE>
<WORD coords="218,2859,354,2816,2858">mer</WORD>
<WORD coords="410,2878,733,2805,2859">guarismo</WORD>
<WORD coords="794,2863,924,2807,2862">acia</WORD>
<WORD coords="991,2883,1319,2811,2866">izquierda</WORD>
<WORD coords="1355,2885,1370,2857,2885">,</WORD>
<WORD coords="1409,2889,1446,2833,2880">y</WORD>
<WORD coords="1498,2872,1552,2816,2870">el</WORD>
<WORD coords="1609,2894,1805,2817,2871">duplo</WORD>
<WORD coords="1852,2875,1927,2820,2874">de</WORD>
<WORD coords="1989,2879,2251,2821,2876">decenas</WORD>
<WORD coords="2311,2899,2415,2851,2883">por</WORD>
<WORD coords="2451,2890,2582,2836,2888">uní-</WORD>
</LINE>
<LINE>
<WORD coords="212,2963,410,2906,2962">dades</WORD>
<WORD coords="458,2969,651,2907,2965">desde</WORD>
<WORD coords="713,2967,766,2912,2966">el</WORD>
<WORD coords="826,2989,1105,2916,2969">segundo</WORD>
<WORD coords="1137,2976,1153,2941,2976">;</WORD>
<WORD coords="1185,2973,1247,2937,2972">se</WORD>
<WORD coords="1297,2994,1475,2920,2974">sigue</WORD>
<WORD coords="1530,2995,1646,2942,2977">que</WORD>
<WORD coords="1702,2978,1772,2943,2977">en</WORD>
<WORD coords="1826,2980,1887,2926,2980">el</WORD>
<WORD coords="1946,2997,2197,2930,2981">periodo</WORD>
<WORD coords="2256,2988,2332,2939,2987">56</WORD>
<WORD coords="2379,2997,2582,2943,2993">reuni-</WORD>
</LINE>
<LINE>
<WORD coords="213,3068,295,3012,3067">do</WORD>
<WORD coords="350,3071,385,3016,3076">á</WORD>
<WORD coords="423,3070,476,3016,3069">la</WORD>
<WORD coords="532,3073,691,3027,3072">resta</WORD>
<WORD coords="779,3075,849,3026,3077">18</WORD>
<WORD coords="914,3079,1151,3037,3077">estaran</WORD>
<WORD coords="1214,3082,1573,3025,3080">contenidas</WORD>
<WORD coords="1651,3084,1811,3041,3083">estas</WORD>
<WORD coords="1872,3086,1981,3031,3085">dos</WORD>
<WORD coords="2046,3104,2246,3047,3088">partes</WORD>
<WORD coords="2279,3100,2292,3079,3100">,</WORD>
<WORD coords="2358,3115,2395,3060,3115">y</WORD>
<WORD coords="2459,3117,2578,3065,3102">que</WORD>
</LINE>
<LINE>
<WORD coords="211,3172,267,3117,3171">el</WORD>
<WORD coords="330,3191,523,3119,3173">duplo</WORD>
<WORD coords="582,3178,645,3143,3178">se</WORD>
<WORD coords="702,3183,933,3121,3180">hallará</WORD>
<WORD coords="988,3184,1061,3149,3184">en</WORD>
<WORD coords="1120,3186,1256,3138,3186">185.</WORD>
<WORD coords="1349,3188,1411,3131,3188">Si</WORD>
<WORD coords="1474,3189,1601,3146,3187">este</WORD>
<WORD coords="1654,3192,1909,3155,3189">numero</WORD>
<WORD coords="1970,3199,2309,3137,3194">dividimos</WORD>
<WORD coords="2363,3219,2468,3168,3202">por</WORD>
<WORD coords="2516,3209,2572,3154,3207">el</WORD>
</LINE>
<LINE>
<WORD coords="212,3280,294,3241,3279">un</WORD>
<WORD coords="337,3298,587,3222,3279">factor,</WORD>
<WORD coords="663,3286,800,3231,3285">cual</WORD>
<WORD coords="850,3288,915,3253,3288">es</WORD>
<WORD coords="991,3291,1043,3237,3290">el</WORD>
<WORD coords="1097,3310,1288,3236,3292">duplo</WORD>
<WORD coords="1340,3294,1415,3239,3293">de</WORD>
<WORD coords="1477,3297,1740,3240,3294">decenas</WORD>
<WORD coords="1795,3295,1827,3249,3295">2</WORD>
<WORD coords="1862,3313,1930,3247,3304">&gt;&lt;</WORD>
<WORD coords="1984,3297,2057,3249,3296">23</WORD>
<WORD coords="2093,3314,2108,3289,3308">,</WORD>
<WORD coords="2165,3302,2271,3266,3301">nos</WORD>
<WORD coords="2335,3314,2571,3255,3307">vendrá</WORD>
</LINE>
<LINE>
<WORD coords="209,3386,267,3327,3383">el</WORD>
<WORD coords="318,3387,592,3332,3384">cociente</WORD>
<WORD coords="649,3390,691,3338,3394">4</WORD>
<WORD coords="744,3412,1092,3337,3393">unidades,</WORD>
<WORD coords="1141,3416,1261,3362,3398">que</WORD>
<WORD coords="1320,3399,1414,3344,3398">las</WORD>
<WORD coords="1473,3399,1903,3345,3397">escribiremos</WORD>
<WORD coords="1957,3403,2031,3367,3402">en</WORD>
<WORD coords="2096,3403,2147,3350,3401">la</WORD>
<WORD coords="2208,3411,2338,3354,3408">raiz</WORD>
<WORD coords="2377,3425,2392,3381,3420">;</WORD>
<WORD coords="2428,3416,2562,3362,3413">des-</WORD>
</LINE>
<LINE>
<WORD coords="220,3504,370,3450,3491">pués</WORD>
<WORD coords="414,3499,822,3448,3494">formaremos</WORD>
<WORD coords="877,3500,964,3446,3500">las</WORD>
<WORD coords="1022,3503,1274,3448,3502">mismas</WORD>
<WORD coords="1333,3523,1528,3461,3502">partes</WORD>
<WORD coords="1561,3521,1575,3494,3521">,</WORD>
<WORD coords="1608,3524,1646,3470,3514">y</WORD>
<WORD coords="1695,3505,1780,3451,3504">las</WORD>
<WORD coords="1835,3511,2201,3466,3506">reataremos</WORD>
<WORD coords="2236,3531,2254,3503,3530">,</WORD>
<WORD coords="2292,3530,2424,3483,3515">para</WORD>
<WORD coords="2459,3520,2564,3485,3518">ver</WORD>
</LINE>
<LINE>
<WORD coords="213,3597,303,3539,3596">las</WORD>
<WORD coords="363,3604,668,3545,3600">unidad&apos;es</WORD>
<WORD coords="710,3626,828,3570,3607">que</WORD>
<WORD coords="889,3629,1089,3555,3610">puede</WORD>
<WORD coords="1149,3614,1337,3556,3613">haber</WORD>
<WORD coords="1386,3613,1597,3558,3612">demás</WORD>
<WORD coords="1630,3632,1646,3603,3623">,</WORD>
<WORD coords="1677,3615,1728,3560,3614">si</WORD>
<WORD coords="1791,3617,1845,3563,3615">el</WORD>
<WORD coords="1906,3619,2163,3583,3617">numero</WORD>
<WORD coords="2205,3622,2284,3583,3620">no</WORD>
<WORD coords="2322,3623,2387,3587,3622">es</WORD>
<WORD coords="2421,3626,2560,3589,3624">cua-</WORD>
</LINE>
<LINE>
<WORD coords="216,3707,410,3651,3705">diado</WORD>
<WORD coords="474,3726,771,3653,3709">perfecto.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="464,3817,720,3761,3815">Cuando</WORD>
<WORD coords="797,3823,854,3765,3822">el</WORD>
<WORD coords="928,3824,1242,3767,3823">cuadrado</WORD>
<WORD coords="1302,3825,1363,3789,3824">es</WORD>
<WORD coords="1422,3828,1691,3769,3825">inesacto</WORD>
<WORD coords="1726,3843,1741,3818,3839">,</WORD>
<WORD coords="1796,3835,2011,3772,3831">h-mos</WORD>
<WORD coords="2069,3834,2256,3775,3832">dicho</WORD>
<WORD coords="2316,3850,2433,3799,3833">que</WORD>
<WORD coords="2496,3835,2557,3796,3834">se</WORD>
</LINE>
<LINE>
<WORD coords="211,3934,555,3864,3917">aprocsime</WORD>
<WORD coords="616,3940,723,3887,3922">por</WORD>
<WORD coords="778,3925,858,3890,3924">un</WORD>
<WORD coords="914,3942,1227,3873,3927">quebrado</WORD>
<WORD coords="1264,3944,1280,3919,3944">,</WORD>
<WORD coords="1307,3949,1464,3894,3928">cuyo</WORD>
<WORD coords="1514,3932,1884,3878,3930">numerador</WORD>
<WORD coords="1935,3935,2034,3901,3934">sea</WORD>
<WORD coords="2098,3937,2148,3887,3936">la</WORD>
<WORD coords="2208,3938,2360,3894,3937">resta</WORD>
<WORD coords="2424,3939,2560,3884,3936">final</WORD>
</LINE>
<LINE>
<WORD coords="214,4039,262,3983,4025">y-</WORD>
<WORD coords="306,4021,359,3970,4021">el</WORD>
<WORD coords="417,4030,867,3970,4027">denominador</WORD>
<WORD coords="921,4031,973,3980,4030">ei</WORD>
<WORD coords="1027,4049,1219,3980,4033">duplo</WORD>
<WORD coords="1281,4037,1355,3981,4036">de</WORD>
<WORD coords="1416,4035,1465,3982,4034">la</WORD>
<WORD coords="1525,4039,1655,3984,4035">raíz</WORD>
<WORD coords="1711,4040,1948,3985,4038">hallada</WORD>
<WORD coords="2015,4042,2141,4009,4040">mas</WORD>
<WORD coords="2206,4041,2250,3989,4041">b</WORD>
<WORD coords="2306,4043,2357,4006,4041">ui</WORD>
<WORD coords="2499,4047,2555,3985,4043">d;</WORD>
</LINE>
<LINE>
<WORD coords="211,4124,304,4068,4123">La</WORD>
<WORD coords="341,4129,529,4091,4126">razón</WORD>
<WORD coords="579,4131,637,4096,4130">es</WORD>
<WORD coords="678,4147,693,4123,4147">,</WORD>
<WORD coords="751,4153,985,4099,4133">porque</WORD>
<WORD coords="1047,4138,1131,4085,4136">los</WORD>
<WORD coords="1190,4142,1521,4084,4141">cuadrados</WORD>
<WORD coords="1585,4143,1653,4092,4143">de</WORD>
<WORD coords="1710,4143,1812,4091,4142">dos</WORD>
<WORD coords="1874,4150,2147,4106,4147">números</WORD>
<WORD coords="2208,4170,2316,4111,4146">que</WORD>
<WORD coords="2371,4147,2426,4111,4147">Sé</WORD>
<WORD coords="2488,4145,2552,4116,4145">,i-</WORD>
</LINE>
<LINE>
<WORD coords="185,4253,518,4169,4235">ferencián</WORD>
<WORD coords="587,4239,659,4200,4237">en</WORD>
<WORD coords="729,4240,787,4184,4240">la</WORD>
<WORD coords="844,4260,1112,4186,4242">unidad,</WORD>
<WORD coords="1174,4244,1238,4207,4243">se</WORD>
<WORD coords="1292,4269,1676,4189,4249">diferencian</WORD>
<WORD coords="1734,4253,1804,4213,4252">en</WORD>
<WORD coords="1866,4252,1916,4206,4252">eí</WORD>
<WORD coords="1969,4276,2141,4197,4256">dupif</WORD>
<WORD coords="2202,4256,2289,4186,4256">áüíi</WORD>
<WORD coords="2389,4252,2474,4246,4251">...</WORD>
<WORD coords="2527,4255,2545,4214,4255">l</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0125.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0126.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0126.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1764,676,1980,582,674">116</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="688,790,818,751,788">fnas</WORD>
<WORD coords="876,788,934,731,786">la</WORD>
<WORD coords="1000,803,1275,731,787">unidad;</WORD>
<WORD coords="1324,804,1535,730,788">Sean,</WORD>
<WORD coords="1590,808,1704,751,791">por</WORD>
<WORD coords="1759,815,2075,739,793">ejemplo,</WORD>
<WORD coords="2127,795,2222,737,795">los</WORD>
<WORD coords="2298,799,2598,757,796">números</WORD>
<WORD coords="2661,803,2696,750,803">3</WORD>
<WORD coords="2749,826,2790,764,817">y</WORD>
<WORD coords="2828,808,2869,754,808">4</WORD>
<WORD coords="2929,821,3057,768,814">que</WORD>
</LINE>
<LINE>
<WORD coords="679,897,747,861,897">se</WORD>
<WORD coords="796,898,1179,839,896">diferencian</WORD>
<WORD coords="1234,898,1306,861,897">en</WORD>
<WORD coords="1380,898,1404,849,901">1</WORD>
<WORD coords="1440,915,1460,864,909">;</WORD>
<WORD coords="1500,901,1602,863,898">fus</WORD>
<WORD coords="1666,903,2012,845,901">cuadrados</WORD>
<WORD coords="2062,903,2173,866,902">son</WORD>
<WORD coords="2232,902,2270,851,903">9</WORD>
<WORD coords="2317,924,2359,867,915">y</WORD>
<WORD coords="2424,906,2497,853,906">16</WORD>
<WORD coords="2529,924,2546,895,924">,</WORD>
<WORD coords="2577,929,2615,871,920">y</WORD>
<WORD coords="2678,911,2733,854,909">la</WORD>
<WORD coords="2778,917,3053,855,914">diferen-</WORD>
</LINE>
<LINE>
<WORD coords="681,1004,779,949,1004">cia</WORD>
<WORD coords="856,1006,934,947,1004">de</WORD>
<WORD coords="987,1004,1154,960,1003">estos</WORD>
<WORD coords="1209,1004,1275,966,1003">es</WORD>
<WORD coords="1337,1021,1420,953,1016">7,</WORD>
<WORD coords="1471,1024,1592,970,1006">que</WORD>
<WORD coords="1660,1008,1731,970,1007">es</WORD>
<WORD coords="1790,1030,1957,951,1007">igual</WORD>
<WORD coords="2009,1009,2039,954,1009">á</WORD>
<WORD coords="2094,1039,2504,955,1020">2)(3^1,</WORD>
<WORD coords="2601,1016,2698,958,1015">De</WORD>
<WORD coords="2750,1038,2896,962,1019">aquí</WORD>
<WORD coords="2955,1020,3020,983,1019">es</WORD>
<WORD coords="3027,1040,3062,1005,1040">r</WORD>
</LINE>
<LINE>
<WORD coords="678,1130,799,1075,1113">que</WORD>
<WORD coords="856,1110,931,1072,1109">en</WORD>
<WORD coords="978,1110,1034,1053,1109">el</WORD>
<WORD coords="1078,1131,1359,1056,1109">segundo</WORD>
<WORD coords="1411,1133,1680,1057,1112">ejemplo</WORD>
<WORD coords="1710,1115,1768,1058,1114">la</WORD>
<WORD coords="1816,1117,1952,1060,1115">raíz</WORD>
<WORD coords="2008,1120,2086,1059,1118">de</WORD>
<WORD coords="2117,1119,2151,1066,1118">7</WORD>
<WORD coords="2191,1118,2256,1083,1117">es</WORD>
<WORD coords="2306,1140,2522,1083,1119">mayor</WORD>
<WORD coords="2579,1142,2699,1086,1124">que</WORD>
<WORD coords="2753,1126,2791,1077,1126">2</WORD>
<WORD coords="2845,1144,2883,1088,1135">y</WORD>
<WORD coords="2915,1127,3050,1088,1127">me-</WORD>
</LINE>
<LINE>
<WORD coords="676,1217,791,1179,1216">nor</WORD>
<WORD coords="839,1234,958,1178,1217">que</WORD>
<WORD coords="1012,1216,1044,1166,1219">3</WORD>
<WORD coords="1077,1231,1091,1181,1228">;</WORD>
<WORD coords="1144,1226,1180,1181,1224">y</WORD>
<WORD coords="1237,1218,1417,1180,1216">como</WORD>
<WORD coords="1472,1218,1528,1164,1218">el</WORD>
<WORD coords="1575,1221,1890,1165,1219">cuadrado</WORD>
<WORD coords="1943,1224,2020,1165,1223">de</WORD>
<WORD coords="2077,1223,2110,1174,1223">3</WORD>
<WORD coords="2189,1226,2413,1168,1224">escede</WORD>
<WORD coords="2489,1229,2545,1172,1228">al</WORD>
<WORD coords="2618,1228,2695,1170,1227">de</WORD>
<WORD coords="2762,1233,2800,1183,1233">2</WORD>
<WORD coords="2867,1233,2942,1195,1233">en</WORD>
<WORD coords="2995,1242,3058,1181,1239">el</WORD>
</LINE>
<LINE>
<WORD coords="676,1340,870,1265,1321">duplo</WORD>
<WORD coords="922,1321,1024,1266,1320">del</WORD>
<WORD coords="1085,1322,1309,1265,1321">mismo</WORD>
<WORD coords="1358,1324,1393,1276,1326">2</WORD>
<WORD coords="1441,1324,1573,1287,1324">mas</WORD>
<WORD coords="1630,1328,1684,1272,1326">la</WORD>
<WORD coords="1734,1329,1968,1271,1328">unidad</WORD>
<WORD coords="2001,1338,2019,1318,1334">,</WORD>
<WORD coords="2078,1331,2119,1274,1331">ó</WORD>
<WORD coords="2166,1331,2237,1294,1330">en</WORD>
<WORD coords="2297,1331,2333,1282,1331">5</WORD>
<WORD coords="2365,1346,2384,1297,1340">;</WORD>
<WORD coords="2439,1334,2503,1296,1332">se</WORD>
<WORD coords="2564,1355,2741,1277,1334">sigue</WORD>
<WORD coords="2795,1354,2918,1300,1340">que</WORD>
<WORD coords="2968,1345,3031,1284,1343">la</WORD>
</LINE>
<LINE>
<WORD coords="677,1428,838,1385,1426">resta</WORD>
<WORD coords="895,1427,929,1378,1431">3</WORD>
<WORD coords="979,1429,1137,1372,1428">debe</WORD>
<WORD coords="1203,1446,1486,1392,1429">espresar</WORD>
<WORD coords="1545,1450,1746,1387,1432">partes</WORD>
<WORD coords="1799,1435,1876,1378,1434">de</WORD>
<WORD coords="1920,1436,2006,1380,1435">las</WORD>
<WORD coords="2060,1457,2179,1400,1439">que</WORD>
<WORD coords="2239,1438,2293,1383,1437">le</WORD>
<WORD coords="2353,1440,2543,1381,1438">faltan</WORD>
<WORD coords="2578,1458,2595,1428,1458">,</WORD>
<WORD coords="2641,1464,2785,1405,1444">para</WORD>
<WORD coords="2840,1468,3037,1388,1446">llegar</WORD>
</LINE>
<LINE>
<WORD coords="675,1534,710,1478,1538">á</WORD>
<WORD coords="757,1534,856,1495,1533">ser</WORD>
<WORD coords="903,1537,957,1479,1535">la</WORD>
<WORD coords="1015,1539,1149,1480,1534">raíz</WORD>
<WORD coords="1208,1537,1308,1480,1535">del</WORD>
<WORD coords="1369,1537,1444,1481,1536">de</WORD>
<WORD coords="1504,1541,1620,1499,1539">una</WORD>
<WORD coords="1677,1541,1913,1483,1540">unidad</WORD>
<WORD coords="1969,1545,2098,1506,1543">mas</WORD>
<WORD coords="2134,1566,2154,1530,1565">,</WORD>
<WORD coords="2215,1564,2334,1509,1546">que</WORD>
<WORD coords="2394,1562,2539,1490,1547">aqui</WORD>
<WORD coords="2580,1551,2689,1513,1550">son</WORD>
<WORD coords="2747,1553,2839,1495,1551">las</WORD>
<WORD coords="2895,1556,2957,1505,1555">5.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="924,1641,1018,1583,1641">La</WORD>
<WORD coords="1075,1662,1564,1587,1642">aprocsimacion</WORD>
<WORD coords="1615,1663,1728,1607,1645">por</WORD>
<WORD coords="1783,1651,2121,1590,1648">decimales</WORD>
<WORD coords="2170,1650,2233,1614,1650">se</WORD>
<WORD coords="2278,1654,2471,1594,1652">funda</WORD>
<WORD coords="2505,1665,2522,1641,1660">,</WORD>
<WORD coords="2562,1656,2636,1618,1655">en</WORD>
<WORD coords="2679,1676,2800,1619,1658">que</WORD>
<WORD coords="2856,1659,2886,1605,1659">á</WORD>
<WORD coords="2937,1661,3036,1613,1660">to-</WORD>
</LINE>
<LINE>
<WORD coords="674,1747,758,1690,1746">do</WORD>
<WORD coords="807,1751,1067,1709,1748">numero</WORD>
<WORD coords="1119,1750,1184,1712,1750">se</WORD>
<WORD coords="1240,1751,1294,1693,1750">le</WORD>
<WORD coords="1367,1768,1566,1696,1751">puede</WORD>
<WORD coords="1620,1771,1809,1715,1752">poner</WORD>
<WORD coords="1890,1754,1921,1701,1755">á</WORD>
<WORD coords="1981,1760,2415,1699,1757">continuación</WORD>
<WORD coords="2469,1761,2546,1702,1761">de</WORD>
<WORD coords="2603,1762,2659,1704,1761">la</WORD>
<WORD coords="2717,1765,2895,1726,1763">coma</WORD>
<WORD coords="2943,1768,3042,1709,1766">loa</WORD>
</LINE>
<LINE>
<WORD coords="673,1857,851,1819,1856">ceros</WORD>
<WORD coords="902,1875,1021,1821,1858">que</WORD>
<WORD coords="1077,1858,1202,1819,1857">uno</WORD>
<WORD coords="1256,1876,1472,1800,1857">quiera</WORD>
<WORD coords="1541,1885,1728,1801,1869">(138)</WORD>
<WORD coords="1761,1874,1778,1849,1868">,</WORD>
<WORD coords="1833,1861,1928,1805,1860">sin</WORD>
<WORD coords="1995,1881,2113,1825,1863">que</WORD>
<WORD coords="2164,1880,2277,1825,1864">por</WORD>
<WORD coords="2336,1866,2470,1821,1864">esto</WORD>
<WORD coords="2524,1867,2589,1829,1866">se</WORD>
<WORD coords="2649,1870,2861,1812,1867">altere.</WORD>
<WORD coords="2956,1876,3019,1817,1876">A</WORD>
</LINE>
<LINE>
<WORD coords="671,1964,804,1925,1963">mas</WORD>
<WORD coords="865,1963,942,1908,1963">de</WORD>
<WORD coords="994,1964,1131,1918,1963">esto</WORD>
<WORD coords="1163,1978,1180,1952,1973">,</WORD>
<WORD coords="1228,1964,1318,1908,1963">los</WORD>
<WORD coords="1368,1964,1543,1927,1963">ceros</WORD>
<WORD coords="1593,1967,1790,1909,1966">deben</WORD>
<WORD coords="1850,1968,1948,1929,1966">ser</WORD>
<WORD coords="1998,1989,2181,1931,1969">pares</WORD>
<WORD coords="2209,1986,2228,1957,1986">„</WORD>
<WORD coords="2262,1990,2497,1931,1970">porque</WORD>
<WORD coords="2542,1972,2590,1906,1972">Á</WORD>
<WORD coords="2646,1974,2702,1919,1973">la</WORD>
<WORD coords="2751,1975,2878,1917,1973">raíz</WORD>
<WORD coords="2918,1978,3036,1919,1976">tie-</WORD>
</LINE>
<LINE>
<WORD coords="673,2068,748,2029,2068">ne</WORD>
<WORD coords="790,2070,871,2032,2069">un</WORD>
<WORD coords="930,2070,1073,2032,2069">cero</WORD>
<WORD coords="1122,2072,1387,2013,2070">decimal</WORD>
<WORD coords="1423,2085,1442,2058,2080">,</WORD>
<WORD coords="1491,2071,1551,2015,2071">el</WORD>
<WORD coords="1607,2073,1923,2016,2072">cuadrado</WORD>
<WORD coords="1981,2077,2195,2019,2074">tendrá</WORD>
<WORD coords="2250,2081,2365,2019,2079">dos</WORD>
<WORD coords="2404,2093,2422,2046,2086">;</WORD>
<WORD coords="2475,2079,2526,2023,2078">si</WORD>
<WORD coords="2571,2085,2734,2024,2082">tiene</WORD>
<WORD coords="2777,2084,2902,2039,2083">tres</WORD>
<WORD coords="2936,2087,3035,2045,2086">ce-</WORD>
</LINE>
<LINE>
<WORD coords="670,2175,773,2136,2174">ros</WORD>
<WORD coords="808,2190,825,2164,2186">,</WORD>
<WORD coords="856,2177,910,2121,2176">el</WORD>
<WORD coords="959,2179,1272,2119,2176">cuadrado</WORD>
<WORD coords="1326,2178,1547,2122,2176">tendrá</WORD>
<WORD coords="1607,2179,1728,2122,2178">seis</WORD>
<WORD coords="1766,2194,1784,2167,2194">,</WORD>
<WORD coords="1815,2198,1967,2143,2180">pues</WORD>
<WORD coords="2007,2181,2062,2126,2181">el</WORD>
<WORD coords="2120,2202,2422,2126,2183">producto</WORD>
<WORD coords="2464,2189,2620,2128,2186">debe</WORD>
<WORD coords="2685,2192,2858,2145,2190">tener</WORD>
<WORD coords="2901,2194,3037,2145,2192">tan-</WORD>
</LINE>
<LINE>
<WORD coords="668,2282,764,2234,2280">tos</WORD>
<WORD coords="825,2303,1174,2225,2282">guarismos</WORD>
<WORD coords="1215,2300,1598,2226,2283">decimales,</WORD>
<WORD coords="1644,2285,1822,2246,2284">como</WORD>
<WORD coords="1867,2306,1985,2229,2286">hay</WORD>
<WORD coords="2042,2288,2119,2250,2287">en</WORD>
<WORD coords="2178,2290,2329,2233,2288">cada</WORD>
<WORD coords="2386,2297,2621,2233,2290">factor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="922,2390,1182,2332,2388">Escolio.</WORD>
<WORD coords="1273,2390,1351,2332,2390">Se</WORD>
<WORD coords="1403,2393,1703,2351,2390">conocerá</WORD>
<WORD coords="1758,2392,1810,2335,2391">si</WORD>
<WORD coords="1854,2393,1917,2357,2392">se</WORD>
<WORD coords="1975,2394,2053,2336,2394">ha</WORD>
<WORD coords="2116,2416,2334,2353,2395">puesto</WORD>
<WORD coords="2385,2399,2599,2341,2397">demás</WORD>
<WORD coords="2651,2400,2725,2363,2400">en</WORD>
<WORD coords="2768,2400,2825,2344,2400">la</WORD>
<WORD coords="2872,2406,3034,2345,2401">raíz»</WORD>
</LINE>
<LINE>
<WORD coords="666,2503,911,2441,2500">cuando</WORD>
<WORD coords="968,2499,1024,2443,2498">el</WORD>
<WORD coords="1080,2501,1360,2442,2499">cociente</WORD>
<WORD coords="1420,2522,1852,2444,2500">multiplicado</WORD>
<WORD coords="1907,2521,2017,2465,2502">por</WORD>
<WORD coords="2053,2507,2108,2449,2506">el</WORD>
<WORD coords="2163,2508,2401,2449,2505">divisor</WORD>
<WORD coords="2446,2528,2486,2470,2527">y</WORD>
<WORD coords="2542,2527,2659,2468,2506">por</WORD>
<WORD coords="2699,2506,2751,2449,2505">si</WORD>
<WORD coords="2789,2519,3039,2451,2505">mismo,</WORD>
</LINE>
<LINE>
<WORD coords="668,2606,750,2549,2606">dé</WORD>
<WORD coords="810,2606,891,2569,2604">un</WORD>
<WORD coords="946,2624,1252,2548,2605">producto</WORD>
<WORD coords="1310,2626,1428,2570,2608">que</WORD>
<WORD coords="1508,2608,1588,2570,2607">no</WORD>
<WORD coords="1647,2609,1713,2572,2609">se</WORD>
<WORD coords="1776,2627,1978,2553,2609">puede</WORD>
<WORD coords="2043,2612,2240,2567,2611">restar</WORD>
<WORD coords="2299,2613,2377,2556,2613">de</WORD>
<WORD coords="2427,2615,2483,2557,2613">la</WORD>
<WORD coords="2536,2616,2700,2567,2613">resta</WORD>
<WORD coords="2752,2613,3022,2557,2611">anterior</WORD>
</LINE>
<LINE>
<WORD coords="659,2714,921,2656,2712">reunida</WORD>
<WORD coords="981,2712,1038,2657,2711">al</WORD>
<WORD coords="1102,2730,1365,2656,2713">período</WORD>
<WORD coords="1423,2733,1544,2677,2715">que</WORD>
<WORD coords="1603,2717,1667,2679,2716">se</WORD>
<WORD coords="1721,2737,1890,2659,2715">bajó.</WORD>
<WORD coords="1979,2719,2057,2661,2718">Se</WORD>
<WORD coords="2107,2721,2293,2660,2718">sabrá</WORD>
<WORD coords="2349,2744,2465,2682,2720">que</WORD>
<WORD coords="2519,2721,2576,2666,2721">la</WORD>
<WORD coords="2627,2720,2765,2681,2718">raíz</WORD>
<WORD coords="2809,2717,2870,2680,2717">es</WORD>
<WORD coords="2917,2717,3040,2679,2713">mr*</WORD>
</LINE>
<LINE>
<WORD coords="660,2821,777,2781,2817">ñor</WORD>
<WORD coords="809,2833,826,2807,2827">,</WORD>
<WORD coords="854,2819,1082,2763,2818">cuando</WORD>
<WORD coords="1132,2819,1190,2762,2819">la</WORD>
<WORD coords="1242,2820,1405,2778,2818">resta</WORD>
<WORD coords="1465,2844,1579,2784,2821">que</WORD>
<WORD coords="1619,2845,1810,2768,2823">queda</WORD>
<WORD coords="1837,2840,1857,2813,2832">,</WORD>
<WORD coords="1916,2824,2019,2787,2823">sea</WORD>
<WORD coords="2070,2846,2248,2770,2825">igual</WORD>
<WORD coords="2302,2827,2333,2788,2827">&amp;</WORD>
<WORD coords="2386,2849,2599,2791,2827">mayor</WORD>
<WORD coords="2655,2848,2769,2785,2823">que</WORD>
<WORD coords="2815,2824,2871,2767,2823">el</WORD>
<WORD coords="2922,2824,3035,2767,2823">du~</WORD>
</LINE>
<LINE>
<WORD coords="649,2951,756,2872,2927">pío</WORD>
<WORD coords="803,2926,875,2869,2925">de</WORD>
<WORD coords="927,2927,985,2870,2926">la</WORD>
<WORD coords="1040,2929,1183,2886,2926">raíz</WORD>
<WORD coords="1242,2925,1319,2870,2924">ha</WORD>
<WORD coords="1347,2928,1485,2869,2926">lada</WORD>
<WORD coords="1544,2927,1671,2891,2927">mas</WORD>
<WORD coords="1729,2930,1788,2873,2929">la</WORD>
<WORD coords="1835,2932,2070,2873,2929">unidad</WORD>
<WORD coords="2094,2943,2111,2898,2943">;</WORD>
<WORD coords="2166,2952,2398,2894,2932">porque</WORD>
<WORD coords="2449,2936,2524,2897,2934">en</WORD>
<WORD coords="2582,2934,2715,2888,2932">este</WORD>
<WORD coords="2775,2930,2919,2893,2929">caso</WORD>
<WORD coords="2974,2931,3033,2872,2929">la</WORD>
</LINE>
<LINE>
<WORD coords="658,3036,827,2993,3035">resta</WORD>
<WORD coords="880,3035,1020,2993,3034">sera</WORD>
<WORD coords="1070,3033,1127,2978,3032">el</WORD>
<WORD coords="1179,3035,1391,2995,3033">ecceso</WORD>
<WORD coords="1427,3035,1503,2979,3035">de</WORD>
<WORD coords="1560,3038,1639,3000,3036">un</WORD>
<WORD coords="1700,3038,2011,2981,3037">cuadrado</WORD>
<WORD coords="2044,3054,2061,3027,3054">,</WORD>
<WORD coords="2093,3059,2250,3000,3037">cuya</WORD>
<WORD coords="2299,3039,2425,2983,3037">raiz</WORD>
<WORD coords="2481,3049,2663,2996,3039">tenga</WORD>
<WORD coords="2719,3039,2835,3000,3037">una</WORD>
<WORD coords="2890,3037,3032,2978,3035">uni-</WORD>
</LINE>
<LINE>
<WORD coords="656,3141,784,3083,3140">dad</WORD>
<WORD coords="842,3141,994,3102,3140">mas.</WORD>
<WORD coords="1094,3141,1210,3081,3140">Asi</WORD>
<WORD coords="1247,3159,1266,3126,3159">f</WORD>
<WORD coords="1332,3140,1383,3082,3139">si</WORD>
<WORD coords="1443,3162,1645,3099,3141">pongo</WORD>
<WORD coords="1707,3142,1742,3094,3142">2</WORD>
<WORD coords="1813,3161,1922,3105,3142">por</WORD>
<WORD coords="1971,3147,2105,3088,3144">raíz</WORD>
<WORD coords="2170,3145,2246,3088,3144">de</WORD>
<WORD coords="2307,3143,2345,3091,3143">9</WORD>
<WORD coords="2375,3159,2391,3135,3153">,</WORD>
<WORD coords="2461,3148,2817,3087,3144">cuadrando</WORD>
<WORD coords="2873,3142,2929,3084,3140">el</WORD>
<WORD coords="2990,3143,3029,3090,3143">2</WORD>
</LINE>
<LINE>
<WORD coords="651,3267,702,3207,3258">y</WORD>
<WORD coords="746,3247,1036,3190,3245">restando</WORD>
<WORD coords="1086,3249,1146,3192,3248">el</WORD>
<WORD coords="1208,3250,1526,3191,3248">cuadrado</WORD>
<WORD coords="1572,3250,1612,3198,3249">4</WORD>
<WORD coords="1669,3249,1745,3193,3248">de</WORD>
<WORD coords="1789,3248,1827,3195,3248">9</WORD>
<WORD coords="1860,3264,1876,3236,3257">,</WORD>
<WORD coords="1936,3251,2032,3214,3250">me</WORD>
<WORD coords="2081,3252,2312,3198,3251">vendrá</WORD>
<WORD coords="2360,3252,2396,3202,3252">5</WORD>
<WORD coords="2448,3253,2526,3196,3252">de</WORD>
<WORD coords="2574,3251,2732,3207,3250">resta</WORD>
<WORD coords="2764,3262,2787,3214,3262">;</WORD>
<WORD coords="2836,3268,2875,3212,3258">y</WORD>
<WORD coords="2923,3247,3027,3210,3246">co-</WORD>
</LINE>
<LINE>
<WORD coords="658,3356,764,3317,3354">mo</WORD>
<WORD coords="825,3351,860,3303,3353">5</WORD>
<WORD coords="920,3335,1014,3320,3345">—</WORD>
<WORD coords="1070,3355,1105,3307,3355">2</WORD>
<WORD coords="1154,3377,1225,3310,3367">^</WORD>
<WORD coords="1272,3358,1307,3310,3358">2</WORD>
<WORD coords="1366,3383,1446,3300,3359">~j-</WORD>
<WORD coords="1508,3358,1534,3306,3358">1</WORD>
<WORD coords="1577,3373,1593,3346,3365">,</WORD>
<WORD coords="1652,3357,1941,3298,3356">deduzco</WORD>
<WORD coords="1994,3376,2114,3319,3358">que</WORD>
<WORD coords="2175,3358,2228,3300,3358">la</WORD>
<WORD coords="2278,3360,2412,3302,3358">raiz</WORD>
<WORD coords="2460,3359,2617,3300,3358">debe</WORD>
<WORD coords="2666,3356,2838,3312,3355">tener</WORD>
<WORD coords="2897,3358,3022,3315,3356">una</WORD>
</LINE>
<LINE>
<WORD coords="652,3465,891,3404,3462">unidad</WORD>
<WORD coords="945,3467,1075,3429,3466">mas</WORD>
<WORD coords="1112,3475,1128,3455,3475">%</WORD>
<WORD coords="1186,3469,1326,3411,3467">cual</WORD>
<WORD coords="1384,3468,1451,3430,3467">es</WORD>
<WORD coords="1511,3467,1570,3409,3466">el</WORD>
<WORD coords="1626,3469,1684,3414,3467">3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="743,3572,884,3517,3571">15&amp;.</WORD>
<WORD coords="986,3576,1312,3518,3573">Problema</WORD>
<WORD coords="1368,3594,1407,3537,3585">y</WORD>
<WORD coords="1462,3576,1837,3516,3574">resolución.</WORD>
<WORD coords="1930,3574,2101,3515,3572">Para</WORD>
<WORD coords="2181,3573,2383,3518,3572">elevar</WORD>
<WORD coords="2463,3571,2546,3532,3570">un</WORD>
<WORD coords="2603,3589,2904,3511,3567">quebrajo</WORD>
<WORD coords="2961,3567,3030,3507,3567">al</WORD>
</LINE>
<LINE>
<WORD coords="651,3684,957,3623,3680">cuadrado</WORD>
<WORD coords="981,3693,1000,3667,3693">%</WORD>
<WORD coords="1030,3679,1095,3642,3678">se</WORD>
<WORD coords="1149,3680,1365,3626,3679">elevan</WORD>
<WORD coords="1421,3697,1530,3641,3678">por</WORD>
<WORD coords="1561,3698,1869,3623,3680">separado</WORD>
<WORD coords="1916,3680,1990,3642,3679">su</WORD>
<WORD coords="2037,3679,2411,3621,3677">numerador</WORD>
<WORD coords="2454,3694,2492,3639,3690">y</WORD>
<WORD coords="2539,3686,3020,3618,3672">denominador;</WORD>
</LINE>
<LINE>
<WORD coords="652,3806,889,3749,3787">porque</WORD>
<WORD coords="972,3803,1115,3748,3785">para</WORD>
<WORD coords="1176,3802,1555,3730,3785">multiplicar</WORD>
<WORD coords="1612,3788,1694,3748,3787">un</WORD>
<WORD coords="1741,3804,2058,3727,3784">quebrado</WORD>
<WORD coords="2103,3801,2213,3745,3783">por</WORD>
<WORD coords="2264,3783,2317,3726,3782">si</WORD>
<WORD coords="2379,3783,2603,3724,3781">mismo</WORD>
<WORD coords="2635,3795,2653,3767,3789">,</WORD>
<WORD coords="2707,3780,2773,3741,3779">se</WORD>
<WORD coords="2862,3780,3021,3723,3777">debe</WORD>
</LINE>
<LINE>
<WORD coords="649,3903,1029,3835,3892">multiplicar</WORD>
<WORD coords="1092,3893,1469,3839,3892">numerador</WORD>
<WORD coords="1516,3911,1628,3854,3890">por</WORD>
<WORD coords="1686,3894,2064,3835,3891">numerador</WORD>
<WORD coords="2115,3910,2155,3852,3900">y</WORD>
<WORD coords="2215,3890,2668,3830,3887">denominador</WORD>
<WORD coords="2733,3905,2844,3845,3883">por</WORD>
<WORD coords="2901,3882,3009,3826,3882">de-</WORD>
</LINE>
<LINE>
<WORD coords="646,4001,1041,3943,3999">nominador.</WORD>
<WORD coords="1137,3999,1256,3941,3998">Asi</WORD>
<WORD coords="1312,4000,1365,3942,3998">el</WORD>
<WORD coords="1415,3999,1733,3941,3997">cuadrado</WORD>
<WORD coords="1803,3999,1882,3943,3999">de</WORD>
<WORD coords="1946,3996,1979,3946,3997">3</WORD>
<WORD coords="2012,3997,2077,3960,3997">es</WORD>
<WORD coords="2132,4007,2210,3943,3999">9;</WORD>
<WORD coords="2243,3998,2303,3939,3997">el</WORD>
<WORD coords="2358,4000,2677,3938,3997">cuadrado</WORD>
<WORD coords="2730,3998,2809,3937,3997">de</WORD>
<WORD coords="2870,4013,2947,3943,4009">3,</WORD>
<WORD coords="2974,4020,3016,3965,0">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1951,4106,2014,4027,4106">r</WORD>
<WORD coords="2116,4106,2195,4053,4104">25</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="645,4218,714,4177,4217">es</WORD>
<WORD coords="761,4214,796,4164,4215">3</WORD>
<WORD coords="825,4233,845,4201,4224">,</WORD>
<WORD coords="894,4215,929,4165,4215">5</WORD>
<WORD coords="961,4215,1024,4156,4215">X</WORD>
<WORD coords="1069,4238,1145,4163,4223">3,</WORD>
<WORD coords="1199,4216,1235,4164,4216">5</WORD>
<WORD coords="1316,4214,1419,4171,4214">525</WORD>
<WORD coords="1469,4216,1539,4165,4215">12</WORD>
<WORD coords="1569,4234,1588,4202,4226">,</WORD>
<WORD coords="1626,4219,1728,4165,4217">25.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0126.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0127.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0127.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1272,498,1484,402,496">117</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="283,610,425,553,610">157.</WORD>
<WORD coords="519,609,847,552,607">Problema</WORD>
<WORD coords="902,628,944,571,624">y</WORD>
<WORD coords="993,616,1360,555,611">resolución.</WORD>
<WORD coords="1469,620,1632,561,617">Para</WORD>
<WORD coords="1705,626,1940,577,622">estraer</WORD>
<WORD coords="1998,629,2056,571,628">ta</WORD>
<WORD coords="2110,632,2246,576,630">raíz</WORD>
<WORD coords="2300,635,2556,579,631">cunJra-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="194,718,277,659,716">tía</WORD>
<WORD coords="334,714,405,659,714">de</WORD>
<WORD coords="471,716,553,676,715">un</WORD>
<WORD coords="613,739,914,661,716">quebrado</WORD>
<WORD coords="945,733,959,708,729">,</WORD>
<WORD coords="1021,718,1084,682,718">se</WORD>
<WORD coords="1138,722,1336,672,721">estrae</WORD>
<WORD coords="1392,743,1503,687,722">por</WORD>
<WORD coords="1561,745,1859,674,727">separado</WORD>
<WORD coords="1921,733,1976,677,732">la</WORD>
<WORD coords="2040,738,2136,682,736">del</WORD>
<WORD coords="2191,750,2559,681,741">numerado*</WORD>
</LINE>
<LINE>
<WORD coords="194,841,238,781,836">y</WORD>
<WORD coords="305,820,358,764,819">la</WORD>
<WORD coords="405,820,505,762,820">del</WORD>
<WORD coords="555,824,1001,766,822">denominador</WORD>
<WORD coords="1038,838,1055,791,838">;</WORD>
<WORD coords="1115,845,1344,788,824">poique</WORD>
<WORD coords="1398,846,1540,791,828">para</WORD>
<WORD coords="1595,836,1864,778,833">elevarlo</WORD>
<WORD coords="1922,840,1977,784,839">al</WORD>
<WORD coords="2039,843,2350,789,840">cuadrado</WORD>
<WORD coords="2381,861,2397,832,853">,</WORD>
<WORD coords="2429,845,2553,793,843">ele-</WORD>
</LINE>
<LINE>
<WORD coords="197,927,415,880,926">jamos</WORD>
<WORD coords="476,927,530,872,926">el</WORD>
<WORD coords="587,930,962,876,927">numerador</WORD>
<WORD coords="1014,948,1048,895,942">y</WORD>
<WORD coords="1105,935,1552,877,931">denominador</WORD>
<WORD coords="1588,957,1603,922,957">,</WORD>
<WORD coords="1659,958,1697,904,950">y</WORD>
<WORD coords="1757,943,1934,905,940">come</WORD>
<WORD coords="1998,946,2051,890,944">la</WORD>
<WORD coords="2103,948,2439,892,946">estraccion</WORD>
<WORD coords="2476,950,2554,895,948">de</WORD>
</LINE>
<LINE>
<WORD coords="199,1032,259,972,1032">la</WORD>
<WORD coords="319,1036,452,978,1034">raíz</WORD>
<WORD coords="503,1035,567,998,1034">es</WORD>
<WORD coords="614,1036,917,982,1034">contraría</WORD>
<WORD coords="973,1038,1005,984,1040">á</WORD>
<WORD coords="1064,1037,1115,983,1036">la</WORD>
<WORD coords="1173,1044,1489,981,1040">elevación</WORD>
<WORD coords="1523,1061,1537,1029,1054">,</WORD>
<WORD coords="1567,1048,1929,990,1044">deberemos</WORD>
<WORD coords="1972,1054,2158,996,1051">hacer</WORD>
<WORD coords="2217,1052,2272,1000,1051">lo</WORD>
<WORD coords="2322,1055,2459,1008,1052">cont</WORD>
<WORD coords="2499,1054,2555,1019,1054">a-</WORD>
</LINE>
<LINE>
<WORD coords="203,1143,301,1084,1141">rio</WORD>
<WORD coords="356,1138,387,1087,1143">á</WORD>
<WORD coords="434,1142,586,1099,1140">esta.</WORD>
<WORD coords="683,1163,969,1086,1142">Ejemplo.</WORD>
<WORD coords="1070,1168,1444,1087,1143">Estraygase</WORD>
<WORD coords="1496,1149,1551,1092,1148">la</WORD>
<WORD coords="1609,1150,1734,1094,1149">raiz</WORD>
<WORD coords="1781,1159,2088,1099,1156">cuadrada</WORD>
<WORD coords="2132,1160,2206,1104,1159">de</WORD>
<WORD coords="2272,1158,2309,1109,1158">9</WORD>
<WORD coords="2392,1179,2424,1126,1170">y</WORD>
<WORD coords="2494,1162,2553,1125,1162">e-</WORD>
</LINE>
<LINE>
<WORD coords="212,1251,281,1208,1249">ra</WORD>
<WORD coords="337,1246,441,1192,1245">V9</WORD>
<WORD coords="490,1270,656,1192,1247">igual</WORD>
<WORD coords="707,1248,738,1214,1248">a</WORD>
<WORD coords="792,1254,851,1201,1252">3.</WORD>
<WORD coords="2255,1268,2330,1221,1266">25</WORD>
</LINE>
<LINE>
<WORD coords="313,1382,456,1324,1382">V25</WORD>
<WORD coords="798,1380,833,1332,1380">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="460,1465,722,1408,1464">Cuando</WORD>
<WORD coords="778,1486,1052,1411,1464">ninguno</WORD>
<WORD coords="1083,1469,1161,1409,1467">de</WORD>
<WORD coords="1208,1469,1299,1412,1468">los</WORD>
<WORD coords="1354,1474,1651,1417,1471">términos</WORD>
<WORD coords="1701,1477,1799,1419,1476">de!</WORD>
<WORD coords="1855,1486,2170,1422,1478">quebrado</WORD>
<WORD coords="2226,1507,2400,1441,1484">tenga</WORD>
<WORD coords="2437,1485,2562,1429,1483">raíz</WORD>
</LINE>
<LINE>
<WORD coords="214,1570,425,1524,1568">esacta</WORD>
<WORD coords="462,1581,478,1558,1580">,</WORD>
<WORD coords="552,1570,838,1513,1568">haremos</WORD>
<WORD coords="924,1585,1039,1537,1573">que</WORD>
<WORD coords="1093,1572,1148,1520,1572">el</WORD>
<WORD coords="1208,1581,1661,1520,1576">denominador</WORD>
<WORD coords="1717,1582,1768,1531,1579">la</WORD>
<WORD coords="1828,1605,2005,1541,1583">tenga</WORD>
<WORD coords="2085,1607,2550,1536,1588">multiplicando</WORD>
</LINE>
<LINE>
<WORD coords="224,1679,434,1622,1676">arrboe</WORD>
<WORD coords="465,1676,766,1621,1674">términos</WORD>
<WORD coords="826,1695,935,1641,1677">por</WORD>
<WORD coords="963,1681,1019,1629,1679">el</WORD>
<WORD coords="1064,1686,1506,1628,1682">denominador</WORD>
<WORD coords="1540,1696,1556,1655,1696">;</WORD>
<WORD coords="1595,1710,1636,1651,1700">y</WORD>
<WORD coords="1684,1690,1790,1647,1689">cié*</WORD>
<WORD coords="1822,1692,1946,1657,1691">mes</WORD>
<WORD coords="1996,1691,2056,1659,1690">*^</WORD>
<WORD coords="2097,1695,2293,1652,1692">estrae</WORD>
<WORD coords="2345,1702,2559,1657,1692">aproe-</WORD>
</LINE>
<LINE>
<WORD coords="208,1782,661,1727,1780">simadamente</WORD>
<WORD coords="710,1783,764,1729,1781">la</WORD>
<WORD coords="820,1784,946,1733,1782">raiz</WORD>
<WORD coords="1001,1786,1101,1731,1785">del</WORD>
<WORD coords="1161,1790,1536,1737,1787">numerador</WORD>
<WORD coords="1564,1799,1578,1781,1799">,</WORD>
<WORD coords="1623,1813,1662,1757,1806">y</WORD>
<WORD coords="1718,1800,2130,1757,1795">esactameme</WORD>
<WORD coords="2184,1799,2239,1749,1799">la</WORD>
<WORD coords="2284,1799,2379,1745,1797">del</WORD>
<WORD coords="2442,1800,2545,1746,1798">cle-</WORD>
</LINE>
<LINE>
<WORD coords="202,1890,244,1849,1888">fi</WORD>
<WORD coords="292,1886,576,1831,1885">minador</WORD>
<WORD coords="612,1900,627,1873,1900">,</WORD>
<WORD coords="687,1906,919,1852,1888">porque</WORD>
<WORD coords="977,1891,1003,1855,1891">a</WORD>
<WORD coords="1055,1893,1182,1850,1890">este</WORD>
<WORD coords="1246,1897,1308,1827,1896">sé</WORD>
<WORD coords="1365,1895,1417,1842,1894">le</WORD>
<WORD coords="1500,1899,1641,1842,1897">uadt</WORD>
<WORD coords="1662,1899,1696,1847,1899">ó</WORD>
<WORD coords="1741,1902,1852,1865,1901">con</WORD>
<WORD coords="1900,1903,1954,1852,1903">el</WORD>
<WORD coords="2012,1904,2049,1849,1904">h</WORD>
<WORD coords="2095,1891,2103,1879,1893">-</WORD>
<WORD coords="2130,1908,2168,1851,1908">h</WORD>
<WORD coords="2199,1907,2211,1874,1907">i</WORD>
<WORD coords="2265,1914,2337,1853,1911">de</WORD>
<WORD coords="2412,1907,2565,1850,1906">mul-</WORD>
</LINE>
<LINE>
<WORD coords="203,1997,516,1936,1990">tiplicarlo</WORD>
<WORD coords="574,2011,682,1956,1990">por</WORD>
<WORD coords="749,1993,800,1939,1993">si</WORD>
<WORD coords="862,1998,1110,1939,1995">mismo.</WORD>
<WORD coords="1204,2001,1294,1943,2000">Ya</WORD>
<WORD coords="1353,2004,1634,1948,2002">sabemos</WORD>
<WORD coords="1691,2024,1809,1972,2009">que</WORD>
<WORD coords="1869,2011,1949,1975,2010">un</WORD>
<WORD coords="2007,2032,2322,1962,2012">quedado</WORD>
<WORD coords="2382,2012,2457,1977,2011">no</WORD>
<WORD coords="2495,2013,2562,1975,2011">se</WORD>
</LINE>
<LINE>
<WORD coords="209,2100,398,2044,2095">altera</WORD>
<WORD coords="430,2110,445,2086,2109">,</WORD>
<WORD coords="500,2099,740,2043,2098">cuando</WORD>
<WORD coords="788,2100,852,2064,2099">se</WORD>
<WORD coords="913,2104,1015,2066,2102">mu</WORD>
<WORD coords="1048,2117,1298,2049,2104">tiplican</WORD>
<WORD coords="1350,2111,1452,2074,2109">sus</WORD>
<WORD coords="1512,2110,1624,2056,2109">dos</WORD>
<WORD coords="1681,2116,1978,2061,2114">términos</WORD>
<WORD coords="2033,2134,2136,2084,2117">por</WORD>
<WORD coords="2198,2120,2278,2084,2119">un</WORD>
<WORD coords="2341,2121,2562,2083,2117">mismo</WORD>
</LINE>
<LINE>
<WORD coords="209,2211,496,2166,2204">numero.</WORD>
<WORD coords="586,2207,648,2150,2206">Si</WORD>
<WORD coords="712,2209,844,2158,2207">solo</WORD>
<WORD coords="901,2210,955,2156,2209">el</WORD>
<WORD coords="1028,2215,1401,2163,2212">numerador</WORD>
<WORD coords="1457,2218,1619,2162,2216">tiene</WORD>
<WORD coords="1696,2223,1818,2168,2222">raiz</WORD>
<WORD coords="1880,2227,2079,2182,2224">esacta</WORD>
<WORD coords="2118,2239,2135,2214,2232">,</WORD>
<WORD coords="2188,2225,2315,2189,2224">mas</WORD>
<WORD coords="2369,2226,2448,2190,2225">no</WORD>
<WORD coords="2508,2224,2567,2167,2224">el</WORD>
</LINE>
<LINE>
<WORD coords="209,2312,661,2254,2310">denominador</WORD>
<WORD coords="694,2327,711,2300,2325">,</WORD>
<WORD coords="772,2316,1139,2270,2314">trataremos</WORD>
<WORD coords="1198,2341,1465,2264,2320">siempre</WORD>
<WORD coords="1518,2326,1596,2268,2325">de</WORD>
<WORD coords="1652,2346,1768,2291,2330">que</WORD>
<WORD coords="1825,2332,1955,2286,2331">e.^te</WORD>
<WORD coords="2018,2331,2071,2278,2331">la</WORD>
<WORD coords="2131,2354,2317,2288,2331">tenga</WORD>
<WORD coords="2352,2349,2370,2319,2349">,</WORD>
<WORD coords="2423,2352,2566,2294,2332">par»</WORD>
</LINE>
<LINE>
<WORD coords="206,2434,327,2378,2416">que</WORD>
<WORD coords="372,2416,429,2361,2416">la</WORD>
<WORD coords="471,2429,787,2361,2415">espresion</WORD>
<WORD coords="841,2420,944,2384,2419">sea</WORD>
<WORD coords="1001,2421,1132,2385,2421">mas</WORD>
<WORD coords="1187,2431,1439,2374,2426">sencilla</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="458,2545,803,2466,2523">Ejemplos.</WORD>
<WORD coords="895,2529,988,2470,2528">La</WORD>
<WORD coords="1042,2532,1178,2472,2530">raiz</WORD>
<WORD coords="1240,2541,1552,2480,2537">cuadrada</WORD>
<WORD coords="1617,2544,1695,2486,2543">de</WORD>
<WORD coords="1753,2537,1790,2492,2537">7</WORD>
<WORD coords="1840,2548,1904,2510,2547">es</WORD>
<WORD coords="1961,2545,2060,2491,2545">V7</WORD>
<WORD coords="2085,2562,2103,2517,2562">¡</WORD>
<WORD coords="2151,2566,2190,2510,2557">y</WORD>
<WORD coords="2251,2549,2430,2510,2548">como</WORD>
<WORD coords="2480,2553,2564,2508,2550">no</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1750,2673,1784,2628,2675">8</WORD>
<WORD coords="1961,2677,2060,2606,2670">V&quot;¿</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="206,2734,273,2694,2732">se</WORD>
<WORD coords="306,2751,506,2679,2734">puede</WORD>
<WORD coords="566,2739,739,2699,2736">sacar</WORD>
<WORD coords="793,2747,1206,2696,2742">esactamente</WORD>
<WORD coords="1264,2749,1342,2692,2749">de</WORD>
<WORD coords="1388,2773,1618,2695,2751">ningún</WORD>
<WORD coords="1664,2757,1929,2700,2755">termino</WORD>
<WORD coords="1961,2767,1977,2744,2767">,</WORD>
<WORD coords="2011,2776,2561,2705,2758">multiplicaremos</WORD>
</LINE>
<LINE>
<WORD coords="206,2839,298,2781,2838">los</WORD>
<WORD coords="355,2842,467,2786,2841">dos</WORD>
<WORD coords="515,2846,811,2788,2844">términos</WORD>
<WORD coords="874,2867,985,2812,2848">por</WORD>
<WORD coords="1026,2851,1060,2803,2853">8</WORD>
<WORD coords="1092,2867,1108,2839,2861">,</WORD>
<WORD coords="1169,2854,1226,2798,2853">lo</WORD>
<WORD coords="1278,2873,1396,2819,2858">que</WORD>
<WORD coords="1451,2861,1598,2804,2859">dará</WORD>
<WORD coords="1698,2862,1775,2811,2861">56</WORD>
<WORD coords="1809,2874,1824,2831,2870">;</WORD>
<WORD coords="1900,2867,2254,2807,2865">Sacaremos</WORD>
<WORD coords="2287,2866,2475,2808,2864">ahora</WORD>
<WORD coords="2503,2866,2560,2809,2864">la</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1711,2968,1791,2917,2967">64</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="208,3028,343,2985,3026">raíz</WORD>
<WORD coords="399,3049,824,2976,3033">aprocsimada</WORD>
<WORD coords="887,3038,988,2980,3037">del</WORD>
<WORD coords="1031,3045,1409,2987,3043">numerador</WORD>
<WORD coords="1459,3066,1497,3009,3057">y</WORD>
<WORD coords="1531,3049,1734,3005,3047">esacta</WORD>
<WORD coords="1766,3051,1863,2996,3050">del</WORD>
<WORD coords="1898,3060,2350,2999,3057">denominador</WORD>
<WORD coords="2383,3075,2402,3043,3070">,</WORD>
<WORD coords="2437,3066,2552,3017,3062">coa</WORD>
</LINE>
<LINE>
<WORD coords="207,3134,269,3075,3133">lo</WORD>
<WORD coords="312,3152,429,3095,3136">que</WORD>
<WORD coords="458,3141,738,3091,3138">tenemos</WORD>
<WORD coords="787,3144,843,3087,3142">la</WORD>
<WORD coords="871,3148,1005,3088,3145">raiz</WORD>
<WORD coords="1056,3166,1281,3092,3149">pedida</WORD>
<WORD coords="1313,3172,1480,3097,3152">igual</WORD>
<WORD coords="1531,3154,1562,3100,3154">á</WORD>
<WORD coords="1617,3169,1751,3103,3158">7,48</WORD>
<WORD coords="1785,3159,1895,3101,3156">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1710,3262,1745,3214,3262">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="342,3415,789,3349,3410">RAZONES</WORD>
<WORD coords="853,3416,911,3356,3416">Y</WORD>
<WORD coords="972,3430,1681,3359,3424">PROPORCIONES</WORD>
<WORD coords="1742,3445,2446,3375,3436">GEOMETRICAS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="290,3576,429,3523,3578">158.</WORD>
<WORD coords="524,3578,727,3521,3577">Antes</WORD>
<WORD coords="781,3582,859,3524,3581">de</WORD>
<WORD coords="924,3600,1183,3547,3585">esponer</WORD>
<WORD coords="1259,3591,1386,3547,3590">esta</WORD>
<WORD coords="1482,3612,1722,3537,3592">teoría,</WORD>
<WORD coords="1782,3598,1847,3560,3597">es</WORD>
<WORD coords="1921,3605,2323,3547,3600">conveniente</WORD>
<WORD coords="2380,3610,2554,3551,3606">saber</WORD>
</LINE>
<LINE>
<WORD coords="207,3698,327,3641,3679">que</WORD>
<WORD coords="389,3680,454,3644,3680">se</WORD>
<WORD coords="512,3683,693,3626,3682">llama</WORD>
<WORD coords="749,3705,1047,3628,3687">igualdad</WORD>
<WORD coords="1101,3694,1131,3654,3694">o</WORD>
<WORD coords="1199,3698,1480,3644,3696">ecuación</WORD>
<WORD coords="1531,3701,1675,3646,3699">toda</WORD>
<WORD coords="1743,3719,2056,3651,3703">espresion</WORD>
<WORD coords="2088,3727,2104,3695,3717">,</WORD>
<WORD coords="2161,3708,2231,3672,3707">en</WORD>
<WORD coords="2290,3729,2406,3676,3711">que</WORD>
<WORD coords="2467,3712,2550,3660,3710">las</WORD>
</LINE>
<LINE>
<WORD coords="201,3787,561,3730,3784">cantidades</WORD>
<WORD coords="620,3789,787,3745,3787">están</WORD>
<WORD coords="849,3812,1176,3745,3796">separadas</WORD>
<WORD coords="1230,3810,1337,3764,3800">por</WORD>
<WORD coords="1389,3802,1443,3751,3802">el</WORD>
<WORD coords="1490,3826,1665,3749,3804">signo</WORD>
<WORD coords="1722,3809,1796,3753,3808">de</WORD>
<WORD coords="1852,3831,2146,3755,3810">iguadad</WORD>
<WORD coords="2183,3826,2199,3782,3820">;</WORD>
<WORD coords="2232,3814,2315,3761,3814">asi</WORD>
<WORD coords="2381,3813,2411,3767,3813">3</WORD>
<WORD coords="2446,3814,2548,3775,3814">=s</WORD>
</LINE>
<LINE>
<WORD coords="207,3891,243,3839,3901">5</WORD>
<WORD coords="273,3892,357,3867,3897">#—</WORD>
<WORD coords="390,3896,424,3846,3904">2</WORD>
<WORD coords="459,3915,480,3881,3913">,</WORD>
<WORD coords="537,3899,576,3848,3905">2</WORD>
<WORD coords="609,3897,666,3839,3897">X</WORD>
<WORD coords="696,3901,731,3852,3906">£</WORD>
<WORD coords="890,3927,1231,3851,3912">4^4,4</WORD>
<WORD coords="1283,3897,1378,3882,3904">—</WORD>
<WORD coords="1428,3905,1455,3863,3908">9</WORD>
<WORD coords="1492,3924,1507,3899,3918">,</WORD>
<WORD coords="1554,3913,1662,3876,3912">son</WORD>
<WORD coords="1711,3921,2094,3863,3916">ecuaciones.</WORD>
<WORD coords="2184,3921,2304,3871,3920">Las</WORD>
<WORD coords="2361,3922,2547,3884,3921">cami»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1172,4011,1214,3963,4011">S</WORD>
<WORD coords="1396,4018,1479,3938,4017">ib</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2147,4111,2221,4057,4109">31</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0127.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0128.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0128.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1824,503,2037,408,500">118</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="732,599,927,538,596">dades</WORD>
<WORD coords="980,619,1101,563,602">que</WORD>
<WORD coords="1153,609,1323,562,606">están</WORD>
<WORD coords="1385,613,1412,555,617">á</WORD>
<WORD coords="1475,633,1802,556,615">izquierda</WORD>
<WORD coords="1876,621,1975,563,620">del</WORD>
<WORD coords="2048,646,2224,567,624">signo</WORD>
<WORD coords="2257,632,2353,593,631">as</WORD>
<WORD coords="2452,636,2517,597,635">se</WORD>
<WORD coords="2582,644,2802,581,639">llaman</WORD>
</LINE>
<LINE>
<WORD coords="730,708,1016,650,704">miembro</WORD>
<WORD coords="1053,726,1068,697,728">,</WORD>
<WORD coords="1125,731,1166,674,731">y</WORD>
<WORD coords="1219,736,1488,665,715">segundé</WORD>
<WORD coords="1537,726,1819,668,723">miembro</WORD>
<WORD coords="1871,728,1960,672,727">las</WORD>
<WORD coords="2021,749,2139,696,733">que</WORD>
<WORD coords="2211,739,2380,698,737">están</WORD>
<WORD coords="2440,741,2468,688,741">á</WORD>
<WORD coords="2551,750,2805,660,748">dWecfe</WORD>
<WORD coords="2841,767,2859,719,767">;</WORD>
<WORD coords="2911,753,2983,715,753">en</WORD>
<WORD coords="3037,763,3100,706,756">la,</WORD>
</LINE>
<LINE>
<WORD coords="731,812,852,749,820">1&gt;</WORD>
<WORD coords="900,818,1192,778,815">ecuación</WORD>
<WORD coords="1250,819,1283,771,829">3</WORD>
<WORD coords="1345,824,1410,787,822">es</WORD>
<WORD coords="1464,826,1516,773,825">el</WORD>
<WORD coords="1572,839,1799,775,830">primer</WORD>
<WORD coords="1847,840,2148,781,835">miembro</WORD>
<WORD coords="2181,855,2196,828,855">,</WORD>
<WORD coords="2228,864,2267,807,855">y</WORD>
<WORD coords="2305,846,2358,791,844">ei</WORD>
<WORD coords="2419,873,2697,798,850">segundo</WORD>
<WORD coords="2757,858,2867,822,855">son</WORD>
<WORD coords="2905,864,3093,814,858">5-2.</WORD>
</LINE>
<LINE>
<WORD coords="728,922,1046,859,918">Conviene</WORD>
<WORD coords="1099,928,1367,871,924">tambhn</WORD>
<WORD coords="1447,938,1736,881,935">recordar</WORD>
<WORD coords="1790,942,1847,887,941">el</WORD>
<WORD coords="1927,947,2167,889,944">axioma</WORD>
<WORD coords="2210,952,2268,899,948">6.</WORD>
<WORD coords="2297,933,2330,897,933">o</WORD>
<WORD coords="2360,931,2373,918,937">.</WORD>
<WORD coords="2427,955,2479,899,955">S</WORD>
<WORD coords="2475,955,2495,901,955">i</WORD>
<WORD coords="2568,963,2677,922,961">con</WORD>
<WORD coords="2737,966,3089,911,963">cantidades</WORD>
</LINE>
<LINE>
<WORD coords="720,1042,959,965,1023">iguales</WORD>
<WORD coords="1013,1028,1075,991,1028">se</WORD>
<WORD coords="1125,1035,1310,977,1032">hacen</WORD>
<WORD coords="1366,1058,1751,989,1041">operaciones</WORD>
<WORD coords="1807,1069,2043,995,1049">iguales</WORD>
<WORD coords="2075,1068,2091,1044,1063">,</WORD>
<WORD coords="2151,1058,2237,1000,1056">los</WORD>
<WORD coords="2288,1067,2621,1007,1062">resultados</WORD>
<WORD coords="2667,1071,2849,1032,1068">serán</WORD>
<WORD coords="2909,1092,3090,1020,1071">igua-</WORD>
</LINE>
<LINE>
<WORD coords="716,1145,852,1072,1126">¿,v;</WORD>
<WORD coords="907,1132,979,1096,1132">en</WORD>
<WORD coords="1042,1141,1250,1081,1137">virtud</WORD>
<WORD coords="1306,1144,1379,1087,1143">de</WORD>
<WORD coords="1435,1148,1563,1102,1145">este</WORD>
<WORD coords="1625,1155,1865,1096,1151">axioma</WORD>
<WORD coords="1924,1156,1974,1102,1156">si</WORD>
<WORD coords="2021,1165,2335,1124,1161">sumamos</WORD>
<WORD coords="2400,1169,2438,1113,1169">ó</WORD>
<WORD coords="2500,1179,2799,1132,1174">restamos</WORD>
<WORD coords="2855,1178,2930,1123,1177">de</WORD>
<WORD coords="2983,1179,3079,1143,1178">ca-</WORD>
</LINE>
<LINE>
<WORD coords="710,1235,794,1178,1234">da</WORD>
<WORD coords="856,1243,1157,1184,1240">miembro</WORD>
<WORD coords="1207,1249,1322,1210,1247">una</WORD>
<WORD coords="1392,1258,1611,1197,1252">misma</WORD>
<WORD coords="1659,1277,1994,1204,1259">cantidad,</WORD>
<WORD coords="2050,1265,2087,1209,1265">6</WORD>
<WORD coords="2153,1267,2202,1212,1266">si</WORD>
<WORD coords="2259,1290,2735,1219,1274">multiplicamos</WORD>
<WORD coords="2794,1281,2831,1227,1281">ó</WORD>
<WORD coords="2891,1298,3076,1230,1284">paiti-</WORD>
</LINE>
<LINE>
<WORD coords="710,1343,847,1303,1343">mus</WORD>
<WORD coords="904,1349,1051,1293,1347">cada</WORD>
<WORD coords="1096,1356,1398,1295,1352">miembro</WORD>
<WORD coords="1450,1375,1557,1321,1357">por</WORD>
<WORD coords="1622,1365,1738,1325,1363">una</WORD>
<WORD coords="1772,1369,1991,1311,1366">misma</WORD>
<WORD coords="2055,1376,2344,1318,1372">cantidad</WORD>
<WORD coords="2384,1394,2401,1366,1394">,</WORD>
<WORD coords="2434,1400,2701,1326,1381">siempre</WORD>
<WORD coords="2754,1406,3072,1352,1387">permane-</WORD>
</LINE>
<LINE>
<WORD coords="712,1451,855,1408,1446">cerá</WORD>
<WORD coords="915,1455,968,1399,1453">la</WORD>
<WORD coords="1053,1460,1274,1400,1457">misma</WORD>
<WORD coords="1334,1469,1650,1410,1464">ecuación.</WORD>
<WORD coords="1755,1494,2067,1415,1476">Supuesto</WORD>
<WORD coords="2135,1485,2268,1437,1483">esto</WORD>
<WORD coords="2302,1503,2319,1473,1503">,</WORD>
<WORD coords="2376,1514,2789,1451,1492">espongamos</WORD>
<WORD coords="2853,1521,2929,1463,1502">ya</WORD>
<WORD coords="2985,1501,3076,1443,1500">las</WORD>
</LINE>
<LINE>
<WORD coords="715,1565,978,1519,1562">razones</WORD>
<WORD coords="1031,1588,1069,1531,1588">y</WORD>
<WORD coords="1125,1591,1581,1518,1573">proporciones.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="797,1668,931,1617,1673">159.</WORD>
<WORD coords="1027,1673,1101,1617,1672">Se</WORD>
<WORD coords="1163,1680,1341,1620,1676">llama</WORD>
<WORD coords="1401,1686,1591,1644,1684">razón</WORD>
<WORD coords="1637,1708,2012,1640,1690">geométrica</WORD>
<WORD coords="2060,1698,2119,1640,1697">la</WORD>
<WORD coords="2194,1723,2616,1651,1702">comparación</WORD>
<WORD coords="2670,1711,2741,1656,1710">de</WORD>
<WORD coords="2795,1713,2899,1655,1710">dos</WORD>
<WORD coords="2960,1717,3072,1676,1716">nu*</WORD>
</LINE>
<LINE>
<WORD coords="700,1790,952,1732,1773">tneros,</WORD>
<WORD coords="982,1779,1090,1741,1778">con</WORD>
<WORD coords="1144,1781,1203,1728,1780">el</WORD>
<WORD coords="1221,1804,1331,1727,1797">fin</WORD>
<WORD coords="1389,1787,1460,1731,1786">de</WORD>
<WORD coords="1514,1794,1691,1738,1791">saber</WORD>
<WORD coords="1750,1800,2002,1756,1798">cuantas</WORD>
<WORD coords="2036,1809,2202,1766,1804">veces</WORD>
<WORD coords="2255,1812,2451,1754,1809">elimo</WORD>
<WORD coords="2501,1816,2772,1768,1814">contiene</WORD>
<WORD coords="2810,1818,2871,1767,1817">al</WORD>
<WORD coords="2911,1833,3069,1774,1818">otro-,</WORD>
</LINE>
<LINE>
<WORD coords="704,1904,821,1844,1883">por</WORD>
<WORD coords="879,1910,1304,1833,1889">consiguiente</WORD>
<WORD coords="1338,1910,1354,1883,1909">,</WORD>
<WORD coords="1408,1897,1487,1859,1896">no</WORD>
<WORD coords="1550,1901,1613,1864,1900">es</WORD>
<WORD coords="1666,1905,1795,1868,1905">mas</WORD>
<WORD coords="1861,1925,1978,1873,1910">que</WORD>
<WORD coords="2060,1912,2118,1857,1911">la</WORD>
<WORD coords="2178,1921,2443,1860,1916">división</WORD>
<WORD coords="2519,1928,2802,1867,1923">indicada</WORD>
<WORD coords="2857,1925,2928,1870,1924">de</WORD>
<WORD coords="2985,1926,3069,1887,1925">un</WORD>
</LINE>
<LINE>
<WORD coords="701,1995,950,1950,1991">numero</WORD>
<WORD coords="1018,2020,1140,1948,1996">por</WORD>
<WORD coords="1219,2003,1351,1954,2000">otro</WORD>
<WORD coords="1381,2022,1398,1990,2018">,</WORD>
<WORD coords="1446,2005,1531,1949,2004">asi</WORD>
<WORD coords="1608,2009,1650,1959,2012">4</WORD>
<WORD coords="1698,2012,1734,1956,2013">ó</WORD>
<WORD coords="1795,2014,1833,1965,2014">4</WORD>
<WORD coords="1867,2021,1884,1984,2021">:</WORD>
<WORD coords="1913,2017,1948,1970,2017">2</WORD>
<WORD coords="1984,2035,2002,2004,2027">,</WORD>
<WORD coords="2056,2020,2121,1984,2019">es</WORD>
<WORD coords="2165,2024,2224,1968,2023">la</WORD>
<WORD coords="2282,2028,2472,1989,2026">razón</WORD>
<WORD coords="2522,2049,2639,1993,2033">que</WORD>
<WORD coords="2687,2031,2849,1975,2030">tkne</WORD>
<WORD coords="2905,2031,2959,1976,2029">el</WORD>
<WORD coords="3023,2036,3071,1939,2036">i</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1582,2115,1657,2036,2115">n</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="699,2182,819,2141,2181">con</WORD>
<WORD coords="867,2183,919,2129,2183">el</WORD>
<WORD coords="973,2190,1031,2139,2196">%</WORD>
<WORD coords="1124,2192,1324,2129,2189">Como</WORD>
<WORD coords="1369,2196,1518,2139,2194">todo</WORD>
<WORD coords="1581,2216,1898,2143,2200">quebrado</WORD>
<WORD coords="1956,2206,2057,2169,2205">sea</WORD>
<WORD coords="2118,2228,2332,2155,2209">propio</WORD>
<WORD coords="2395,2216,2432,2156,2216">ó</WORD>
<WORD coords="2488,2237,2797,2161,2216">impropio</WORD>
<WORD coords="2842,2216,2906,2178,2215">es</WORD>
<WORD coords="2938,2217,3059,2167,2214">uná</WORD>
</LINE>
<LINE>
<WORD coords="710,2291,986,2231,2288">división</WORD>
<WORD coords="1047,2298,1332,2237,2294">indicada</WORD>
<WORD coords="1368,2317,1386,2288,2313">,</WORD>
<WORD coords="1444,2302,1507,2267,2302">se</WORD>
<WORD coords="1569,2325,1742,2249,2305">sigue</WORD>
<WORD coords="1797,2329,1914,2274,2310">que</WORD>
<WORD coords="1986,2311,2010,2269,2311">t</WORD>
<WORD coords="2057,2315,2134,2259,2314">do</WORD>
<WORD coords="2200,2337,2516,2267,2321">quebrado</WORD>
<WORD coords="2573,2326,2636,2288,2326">es</WORD>
<WORD coords="2700,2322,2816,2285,2321">uaa</WORD>
<WORD coords="2869,2319,2931,2283,2318">ra</WORD>
<WORD coords="2983,2319,3064,2281,2318">on</WORD>
</LINE>
<LINE>
<WORD coords="697,2394,801,2336,2393">del</WORD>
<WORD coords="876,2403,1252,2346,2399">numerador</WORD>
<WORD coords="1313,2406,1427,2369,2404">con</WORD>
<WORD coords="1498,2410,1554,2355,2409">el</WORD>
<WORD coords="1624,2421,2092,2357,2414">denominador.</WORD>
<WORD coords="2193,2428,2279,2370,2425">Al</WORD>
<WORD coords="2353,2431,2699,2372,2428">dividendo</WORD>
<WORD coords="2756,2428,2817,2392,2428">se</WORD>
<WORD coords="2882,2425,3066,2370,2424">llama</WORD>
</LINE>
<LINE>
<WORD coords="696,2520,1126,2447,2500">antecedente-;</WORD>
<WORD coords="1161,2507,1216,2453,2506">ai</WORD>
<WORD coords="1279,2513,1518,2452,2510">divisor</WORD>
<WORD coords="1567,2523,1952,2478,2519">consecuente</WORD>
<WORD coords="1985,2539,1999,2514,2532">,</WORD>
<WORD coords="2062,2526,2089,2473,2526">á</WORD>
<WORD coords="2149,2532,2359,2476,2530">ambos</WORD>
<WORD coords="2411,2556,2627,2479,2535">juntos</WORD>
<WORD coords="2680,2537,2743,2501,2537">se</WORD>
<WORD coords="2810,2534,2895,2480,2533">les</WORD>
<WORD coords="2945,2531,3053,2477,2530">lia.</WORD>
</LINE>
<LINE>
<WORD coords="697,2606,795,2566,2605">nía</WORD>
<WORD coords="852,2617,1142,2556,2609">términos</WORD>
<WORD coords="1202,2617,1279,2560,2616">de</WORD>
<WORD coords="1335,2620,1389,2563,2619">la</WORD>
<WORD coords="1440,2625,1651,2583,2622">razón.</WORD>
<WORD coords="1752,2628,1819,2573,2627">El</WORD>
<WORD coords="1864,2636,2140,2580,2632">cociente</WORD>
<WORD coords="2200,2657,2316,2604,2639">que</WORD>
<WORD coords="2379,2648,2607,2589,2643">resulta</WORD>
<WORD coords="2652,2642,2713,2607,2641">se</WORD>
<WORD coords="2773,2641,2909,2586,2639">dice</WORD>
<WORD coords="2965,2638,3062,2601,2638">es-</WORD>
</LINE>
<LINE>
<WORD coords="686,2734,953,2665,2713">ponente</WORD>
<WORD coords="1010,2719,1086,2663,2718">de</WORD>
<WORD coords="1127,2722,1181,2665,2720">la</WORD>
<WORD coords="1238,2727,1449,2686,2723">razón.</WORD>
<WORD coords="1547,2732,1700,2673,2730">Para</WORD>
<WORD coords="1744,2739,1998,2682,2736">escribir</WORD>
<WORD coords="2046,2742,2163,2706,2741">una</WORD>
<WORD coords="2223,2746,2405,2708,2745">razón</WORD>
<WORD coords="2460,2769,2830,2694,2748">geométrica</WORD>
<WORD coords="2868,2763,3057,2694,2747">/usa-</WORD>
</LINE>
<LINE>
<WORD coords="694,2821,900,2780,2819">remos</WORD>
<WORD coords="956,2824,1085,2787,2823">mas</WORD>
<WORD coords="1144,2834,1576,2790,2829">comunmente</WORD>
<WORD coords="1627,2837,1703,2783,2836">de</WORD>
<WORD coords="1758,2841,1848,2787,2839">ios</WORD>
<WORD coords="1905,2846,2016,2790,2844">dos</WORD>
<WORD coords="2077,2868,2341,2807,2848">puntos,</WORD>
<WORD coords="2400,2870,2543,2818,2853">pero</WORD>
<WORD coords="2592,2876,2662,2800,2857">a¡</WORD>
<WORD coords="2719,2870,2890,2806,2852">topar</WORD>
<WORD coords="2942,2852,3057,2813,2850">con</WORD>
</LINE>
<LINE>
<WORD coords="693,2927,860,2882,2925">estos</WORD>
<WORD coords="917,2929,996,2892,2928">no</WORD>
<WORD coords="1038,2936,1312,2875,2933">diremos</WORD>
<WORD coords="1369,2945,1636,2881,2941">dividido</WORD>
<WORD coords="1685,2968,1805,2901,2947">por</WORD>
<WORD coords="1841,2965,1857,2936,2958">,</WORD>
<WORD coords="1889,2951,2023,2893,2949">sino</WORD>
<WORD coords="2072,2957,2135,2916,2955">es</WORD>
<WORD coords="2174,2957,2209,2920,2957">a</WORD>
<WORD coords="2244,2969,2262,2924,2966">;</WORD>
<WORD coords="2323,2964,2382,2924,2960">v.</WORD>
<WORD coords="2445,2984,2502,2927,2970">g.</WORD>
<WORD coords="2561,2964,2600,2913,2964">4</WORD>
<WORD coords="2629,2968,2645,2933,2966">;</WORD>
<WORD coords="2688,2965,2723,2916,2964">2</WORD>
<WORD coords="2772,2964,2838,2925,2962">se</WORD>
<WORD coords="2893,2964,3063,2910,2963">leer»</WORD>
</LINE>
<LINE>
<WORD coords="692,3033,737,2982,3031">4b</WORD>
<WORD coords="792,3035,852,2998,3034">es</WORD>
<WORD coords="900,3038,936,3002,3038">a</WORD>
<WORD coords="993,3043,1050,2988,3040">2,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="945,3150,1142,3090,3149">Como</WORD>
<WORD coords="1192,3154,1245,3097,3153">la</WORD>
<WORD coords="1307,3158,1498,3117,3156">razón</WORD>
<WORD coords="1561,3180,1934,3107,3162">geométrica</WORD>
<WORD coords="1989,3168,2066,3131,3168">ao</WORD>
<WORD coords="2111,3170,2176,3133,3169">es</WORD>
<WORD coords="2253,3175,2380,3134,3173">mas</WORD>
<WORD coords="2438,3196,2556,3143,3180">que</WORD>
<WORD coords="2617,3182,2729,3144,3180">una</WORD>
<WORD coords="2781,3185,3055,3126,3182">división</WORD>
</LINE>
<LINE>
<WORD coords="690,3253,983,3189,3248">indicada</WORD>
<WORD coords="1040,3257,1078,3203,3265">ó</WORD>
<WORD coords="1166,3261,1242,3224,3260">un</WORD>
<WORD coords="1298,3280,1651,3208,3263">quebrado;</WORD>
<WORD coords="1705,3269,1766,3233,3268">se</WORD>
<WORD coords="1833,3292,2006,3216,3271">sigue</WORD>
<WORD coords="2066,3293,2183,3242,3278">que</WORD>
<WORD coords="2240,3285,2359,3243,3283">una</WORD>
<WORD coords="2415,3288,2605,3249,3285">razón</WORD>
<WORD coords="2677,3288,2747,3251,3287">no</WORD>
<WORD coords="2794,3288,2858,3253,3288">se</WORD>
<WORD coords="2904,3290,3050,3241,3287">alte-</WORD>
</LINE>
<LINE>
<WORD coords="694,3355,770,3317,3354">ra</WORD>
<WORD coords="803,3367,817,3344,3373">,</WORD>
<WORD coords="877,3361,995,3322,3360">aun</WORD>
<WORD coords="1053,3367,1285,3314,3364">cuando</WORD>
<WORD coords="1335,3369,1399,3333,3368">se</WORD>
<WORD coords="1454,3398,1865,3318,3372">multipliquen</WORD>
<WORD coords="1913,3378,1942,3342,3378">o</WORD>
<WORD coords="1991,3402,2223,3334,3382">partan</WORD>
<WORD coords="2284,3387,2386,3352,3386">sus</WORD>
<WORD coords="2441,3390,2539,3335,3389">dos</WORD>
<WORD coords="2604,3395,2892,3348,3392">términos</WORD>
<WORD coords="2937,3413,3053,3352,3393">por</WORD>
</LINE>
<LINE>
<WORD coords="689,3465,775,3425,3464">un</WORD>
<WORD coords="826,3472,1031,3412,3467">mismo</WORD>
<WORD coords="1077,3476,1320,3436,3474">numero</WORD>
<WORD coords="1378,3501,1544,3426,3487">(97).</WORD>
<WORD coords="1637,3486,1733,3427,3484">De</WORD>
<WORD coords="1781,3506,1925,3434,3487">aquí</WORD>
<WORD coords="1984,3490,2048,3455,3490">es</WORD>
<WORD coords="2106,3511,2224,3458,3494">que</WORD>
<WORD coords="2275,3496,2354,3446,3495">4:</WORD>
<WORD coords="2393,3496,2426,3450,3496">2</WORD>
<WORD coords="2460,3498,2524,3462,3497">es</WORD>
<WORD coords="2558,3499,2615,3444,3499">lo</WORD>
<WORD coords="2666,3500,2888,3447,3498">mismo</WORD>
<WORD coords="2929,3519,3049,3462,3501">que</WORD>
</LINE>
<LINE>
<WORD coords="690,3570,731,3520,3573">€</WORD>
<WORD coords="767,3572,781,3536,3574">;</WORD>
<WORD coords="844,3572,884,3523,3574">4</WORD>
<WORD coords="936,3593,973,3537,3593">y</WORD>
<WORD coords="1018,3593,1134,3541,3578">que</WORD>
<WORD coords="1193,3582,1227,3534,3582">2</WORD>
<WORD coords="1259,3585,1273,3549,3585">:</WORD>
<WORD coords="1332,3585,1385,3534,3584">1.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="945,3682,1023,3625,3681">Se</WORD>
<WORD coords="1073,3686,1209,3629,3684">dice</WORD>
<WORD coords="1263,3708,1382,3652,3691">que</WORD>
<WORD coords="1441,3694,1559,3655,3693">una</WORD>
<WORD coords="1636,3701,1821,3659,3698">razón</WORD>
<WORD coords="1878,3705,1942,3667,3703">es</WORD>
<WORD coords="1997,3707,2247,3642,3704">inversa</WORD>
<WORD coords="2300,3708,2338,3653,3708">6</WORD>
<WORD coords="2401,3726,2709,3653,3707">reciproca</WORD>
<WORD coords="2762,3730,3046,3655,3712">respecto</WORD>
</LINE>
<LINE>
<WORD coords="690,3784,774,3727,3783">de</WORD>
<WORD coords="829,3787,963,3739,3784">otra</WORD>
<WORD coords="997,3800,1014,3775,3803">,</WORD>
<WORD coords="1070,3793,1311,3738,3791">cuando</WORD>
<WORD coords="1366,3798,1417,3744,3797">el</WORD>
<WORD coords="1479,3810,1876,3752,3804">antecedente</WORD>
<WORD coords="1936,3810,2011,3755,3810">de</WORD>
<WORD coords="2073,3812,2125,3759,3812">la</WORD>
<WORD coords="2193,3815,2306,3778,3813">una</WORD>
<WORD coords="2381,3815,2444,3781,3815">es</WORD>
<WORD coords="2498,3818,2899,3775,3816">consecuente</WORD>
<WORD coords="2956,3822,3034,3764,3820">de</WORD>
</LINE>
<LINE>
<WORD coords="687,3890,745,3832,3889">la</WORD>
<WORD coords="794,3892,923,3846,3889">otra</WORD>
<WORD coords="960,3911,976,3863,3911">;</WORD>
<WORD coords="1010,3894,1093,3839,3892">asi</WORD>
<WORD coords="1127,3897,1166,3846,3904">4</WORD>
<WORD coords="1199,3898,1212,3863,3904">:</WORD>
<WORD coords="1249,3900,1282,3853,3905">2</WORD>
<WORD coords="1315,3902,1378,3867,3901">es</WORD>
<WORD coords="1437,3910,1679,3849,3906">inversa</WORD>
<WORD coords="1731,3913,1805,3857,3912">de</WORD>
<WORD coords="1839,3914,1871,3869,3914">2</WORD>
<WORD coords="1911,3915,1925,3881,3915">:</WORD>
<WORD coords="1973,3917,2012,3867,3917">4</WORD>
<WORD coords="2126,3921,2384,3864,3920">Cuando</WORD>
<WORD coords="2438,3920,2512,3885,3919">no</WORD>
<WORD coords="2559,3921,2591,3865,3921">h</WORD>
<WORD coords="2636,3944,2675,3888,3934">y</WORD>
<WORD coords="2728,3925,2852,3880,3923">esta</WORD>
<WORD coords="2914,3926,3031,3865,3925">¿ir.</WORD>
</LINE>
<LINE>
<WORD coords="684,4003,1039,3946,4000">cunstancia</WORD>
<WORD coords="1064,4023,1082,3989,4022">,</WORD>
<WORD coords="1138,4009,1197,3949,4007">la</WORD>
<WORD coords="1251,4013,1370,3969,4011">una</WORD>
<WORD coords="1426,4017,1619,3975,4015">razua</WORD>
<WORD coords="1674,4022,1740,3982,4021">se</WORD>
<WORD coords="1796,4025,1932,3965,4023">dice</WORD>
<WORD coords="1984,4030,2219,3968,4028">directa</WORD>
<WORD coords="2275,4052,2554,3986,4032">respecto</WORD>
<WORD coords="2608,4035,2686,3976,4033">de</WORD>
<WORD coords="2770,4040,2827,3981,4040">U</WORD>
<WORD coords="2879,4038,3031,3985,4036">otra.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0128.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0129.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0129.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1332,562,1560,468,562">110</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="514,668,736,610,667">Razón</WORD>
<WORD coords="796,692,1144,622,671">compuesta</WORD>
<WORD coords="1198,676,1262,638,675">es</WORD>
<WORD coords="1320,678,1370,624,677">la</WORD>
<WORD coords="1436,698,1554,646,682">que</WORD>
<WORD coords="1604,698,1892,630,683">proviene</WORD>
<WORD coords="1938,688,2016,630,687">cíe</WORD>
<WORD coords="2076,714,2448,632,694">multiplicar</WORD>
<WORD coords="2508,694,2622,642,692">dos</WORD>
</LINE>
<LINE>
<WORD coords="264,770,306,712,764">ó&apos;</WORD>
<WORD coords="356,770,486,730,769">mas</WORD>
<WORD coords="546,774,806,734,772">razones</WORD>
<WORD coords="856,776,1028,734,775">entre</WORD>
<WORD coords="1076,778,1130,724,778">sí</WORD>
<WORD coords="1164,784,1182,746,785">:</WORD>
<WORD coords="1238,786,1496,744,783">razones</WORD>
<WORD coords="1554,812,1968,746,790">componentes</WORD>
<WORD coords="2018,794,2124,760,793">son</WORD>
<WORD coords="2182,798,2266,744,797">las</WORD>
<WORD coords="2330,814,2444,766,801">que</WORD>
<WORD coords="2504,810,2620,732,804">g¡r¿</WORD>
</LINE>
<LINE>
<WORD coords="256,878,376,834,876">ven</WORD>
<WORD coords="430,876,508,820,876">de</WORD>
<WORD coords="560,888,848,820,878">factores,</WORD>
<WORD coords="942,882,1008,824,881">Si</WORD>
<WORD coords="1056,904,1402,828,885">multiplico</WORD>
<WORD coords="1464,892,1498,842,892">2</WORD>
<WORD coords="1562,912,1668,856,894">por</WORD>
<WORD coords="1708,894,1748,848,894">4</WORD>
<WORD coords="1782,912,1800,884,905">,</WORD>
<WORD coords="1852,898,1890,844,898">ó</WORD>
<WORD coords="1948,900,2000,846,899">la</WORD>
<WORD coords="2056,904,2246,864,903">razón</WORD>
<WORD coords="2302,910,2334,862,910">2</WORD>
<WORD coords="2372,916,2386,876,915">;</WORD>
<WORD coords="2438,914,2470,866,914">3</WORD>
<WORD coords="2510,920,2578,888,916">,„,</WORD>
<WORD coords="2590,924,2618,886,924">r</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1466,994,1504,942,994">3</WORD>
<WORD coords="1704,998,1760,926,998">?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="254,1062,310,1002,1062">ta</WORD>
<WORD coords="338,1062,378,1012,1071">4</WORD>
<WORD coords="404,1062,424,1022,1071">í</WORD>
<WORD coords="456,1064,492,1012,1072">5</WORD>
<WORD coords="526,1076,542,1052,1078">,</WORD>
<WORD coords="574,1086,986,1010,1064">multiplicaré</WORD>
<WORD coords="1014,1074,1388,1016,1071">numerador</WORD>
<WORD coords="1414,1094,1524,1038,1077">por</WORD>
<WORD coords="1556,1084,1928,1028,1081">numerador</WORD>
<WORD coords="1958,1108,1996,1052,1105">y</WORD>
<WORD coords="2028,1102,2474,1036,1096">denominador</WORD>
<WORD coords="2506,1120,2618,1068,1103">por</WORD>
</LINE>
<LINE>
<WORD coords="254,1172,712,1110,1168">denominador</WORD>
<WORD coords="740,1188,756,1160,1189">,</WORD>
<WORD coords="790,1194,830,1134,1192">y</WORD>
<WORD coords="876,1176,1092,1120,1174">tendré</WORD>
<WORD coords="1144,1178,1200,1122,1177">el</WORD>
<WORD coords="1262,1196,1564,1126,1181">producto</WORD>
<WORD coords="1570,1232,2054,1130,1192">j_Xj^_que</WORD>
<WORD coords="2106,1210,2496,1150,1203">escribiendo</WORD>
<WORD coords="2556,1216,2614,1160,1215">la</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1636,1288,1668,1264,1288">o</WORD>
<WORD coords="1720,1296,1772,1240,1296">X</WORD>
<WORD coords="1818,1296,1848,1266,1296">o</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="252,1356,446,1314,1355">razón</WORD>
<WORD coords="508,1358,626,1318,1356">con</WORD>
<WORD coords="678,1360,768,1302,1358">los</WORD>
<WORD coords="828,1362,942,1306,1362">dos</WORD>
<WORD coords="1002,1380,1226,1320,1364">puntos</WORD>
<WORD coords="1282,1370,1416,1332,1368">sera</WORD>
<WORD coords="1474,1386,2038,1314,1378">2X4:3X5.</WORD>
<WORD coords="2140,1388,2230,1334,1388">De</WORD>
<WORD coords="2282,1398,2484,1340,1393">donde</WORD>
<WORD coords="2544,1404,2608,1366,1401">se</WORD>
</LINE>
<LINE>
<WORD coords="250,1462,494,1404,1460">deduce</WORD>
<WORD coords="548,1482,666,1428,1465">que</WORD>
<WORD coords="730,1486,892,1420,1465">para</WORD>
<WORD coords="976,1492,1344,1416,1469">multiplicar</WORD>
<WORD coords="1400,1476,1506,1422,1476">dos</WORD>
<WORD coords="1564,1482,1594,1442,1482">o</WORD>
<WORD coords="1650,1482,1778,1444,1482">mas</WORD>
<WORD coords="1830,1492,2090,1450,1489">razones</WORD>
<WORD coords="2168,1504,2340,1456,1498">entre</WORD>
<WORD coords="2392,1504,2446,1452,1504">si</WORD>
<WORD coords="2548,1510,2614,1474,1508">se</WORD>
</LINE>
<LINE>
<WORD coords="250,1564,346,1526,1564">mu</WORD>
<WORD coords="376,1588,706,1514,1565">tipltcaran</WORD>
<WORD coords="770,1578,1276,1516,1572">ordenadamente</WORD>
<WORD coords="1332,1584,1498,1528,1582">todos</WORD>
<WORD coords="1576,1588,1660,1530,1585">los</WORD>
<WORD coords="1716,1600,2126,1542,1593">antecedentes</WORD>
<WORD coords="2180,1622,2224,1566,1617">y</WORD>
<WORD coords="2286,1612,2446,1558,1607">todo.-,</WORD>
<WORD coords="2522,1616,2610,1558,1614">los</WORD>
</LINE>
<LINE>
<WORD coords="248,1676,692,1628,1670">consecuentes.</WORD>
<WORD coords="786,1680,1002,1620,1678">Razón</WORD>
<WORD coords="1062,1702,1384,1628,1683">duplicada</WORD>
<WORD coords="1456,1690,1522,1654,1690">es</WORD>
<WORD coords="1588,1690,1640,1638,1690">e!</WORD>
<WORD coords="1708,1700,2022,1642,1696">cuadrado</WORD>
<WORD coords="2082,1708,2158,1650,1707">de</WORD>
<WORD coords="2212,1712,2346,1666,1709">otra</WORD>
<WORD coords="2380,1730,2400,1702,1723">,</WORD>
<WORD coords="2446,1716,2480,1662,1716">ó</WORD>
<WORD coords="2554,1722,2608,1668,1719">la</WORD>
</LINE>
<LINE>
<WORD coords="250,1794,372,1738,1776">que</WORD>
<WORD coords="430,1798,722,1726,1780">proviene</WORD>
<WORD coords="782,1784,860,1726,1783">de</WORD>
<WORD coords="906,1806,1284,1734,1787">multiplicar</WORD>
<WORD coords="1344,1798,1462,1758,1796">una</WORD>
<WORD coords="1520,1806,1712,1760,1800">ras**</WORD>
<WORD coords="1744,1820,1852,1764,1803">por</WORD>
<WORD coords="1886,1812,1944,1748,1810">ai</WORD>
<WORD coords="1994,1814,2054,1774,1814">m</WORD>
<WORD coords="2060,1812,2076,1756,1812">¡</WORD>
<WORD coords="2086,1818,2218,1780,1817">sroa</WORD>
<WORD coords="2250,1796,2264,1782,1796">.</WORD>
<WORD coords="2300,1820,2402,1702,1820">J</WORD>
<WORD coords="2370,1820,2390,1782,1820">t</WORD>
<WORD coords="2434,1822,2472,1774,1822">4</WORD>
<WORD coords="2514,1800,2520,1792,1800">.</WORD>
<WORD coords="2562,1822,2602,1772,1822">9</WORD>
</LINE>
<LINE>
<WORD coords="260,1884,326,1842,1882">es</WORD>
<WORD coords="384,1884,582,1844,1882">ruzon</WORD>
<WORD coords="632,1904,964,1830,1887">duplicada</WORD>
<WORD coords="1010,1892,1086,1838,1892">de</WORD>
<WORD coords="1138,1900,1334,1848,1898">2:3.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="348,1988,484,1936,1991">160.</WORD>
<WORD coords="590,2012,962,1946,1991">troporcion</WORD>
<WORD coords="1008,2018,1388,1948,2000">geométrica</WORD>
<WORD coords="1432,2010,1494,1972,2009">es</WORD>
<WORD coords="1526,2012,1584,1954,2011">la</WORD>
<WORD coords="1628,2036,1924,1958,2018">igualdad</WORD>
<WORD coords="1968,2026,2000,1988,2026">o</WORD>
<WORD coords="2058,2032,2338,1976,2029">ecuación</WORD>
<WORD coords="2374,2036,2446,1980,2036">de</WORD>
<WORD coords="2498,2040,2604,1980,2037">dos</WORD>
</LINE>
<LINE>
<WORD coords="248,2094,512,2050,2092">tazones</WORD>
<WORD coords="562,2118,1014,2052,2097">geometncas;</WORD>
<WORD coords="1080,2106,1168,2050,2105">asi</WORD>
<WORD coords="1228,2154,1402,2062,2121">8_=</WORD>
<WORD coords="1468,2114,1506,2064,2116">6</WORD>
<WORD coords="1558,2120,1622,2082,2119">es</WORD>
<WORD coords="1658,2126,1772,2088,2125">una</WORD>
<WORD coords="1808,2150,2170,2080,2130">proporción</WORD>
<WORD coords="2202,2158,2468,2100,2140">geomet.</WORD>
<WORD coords="2488,2144,2602,2088,2142">ica-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="252,2276,410,2218,2276">Para</WORD>
<WORD coords="464,2284,722,2224,2280">escribir</WORD>
<WORD coords="780,2290,898,2248,2287">una</WORD>
<WORD coords="960,2360,1330,2200,2305">proporción</WORD>
<WORD coords="1402,2324,1778,2174,2310">geométrica</WORD>
<WORD coords="1814,2334,1830,2306,2328">,</WORD>
<WORD coords="1880,2322,1944,2286,2322">se</WORD>
<WORD coords="2004,2342,2160,2288,2326">pone</WORD>
<WORD coords="2218,2338,2272,2282,2337">la</WORD>
<WORD coords="2324,2352,2602,2282,2344">divisé</WORD>
</LINE>
<LINE>
<WORD coords="238,2386,526,2328,2382">indicada</WORD>
<WORD coords="576,2388,688,2350,2388">con</WORD>
<WORD coords="744,2394,834,2336,2392">ios</WORD>
<WORD coords="880,2396,990,2342,2396">dos</WORD>
<WORD coords="1038,2418,1256,2358,2402">puntos</WORD>
<WORD coords="1286,2422,1304,2392,2416">,</WORD>
<WORD coords="1348,2408,1422,2372,2407">en</WORD>
<WORD coords="1480,2414,1590,2376,2412">vez</WORD>
<WORD coords="1650,2422,1748,2362,2420">del</WORD>
<WORD coords="1790,2448,1966,2368,2425">signo</WORD>
<WORD coords="2024,2438,2124,2400,2438">=</WORD>
<WORD coords="2180,2432,2196,2410,2432">,</WORD>
<WORD coords="2210,2444,2240,2408,2444">e</WORD>
<WORD coords="2316,2452,2416,2414,2450">esc</WORD>
<WORD coords="2482,2454,2498,2402,2454">t</WORD>
</LINE>
<LINE>
<WORD coords="238,2488,452,2444,2486">cuatro</WORD>
<WORD coords="512,2512,782,2450,2494">puntos,</WORD>
<WORD coords="834,2520,872,2464,2520">y</WORD>
<WORD coords="934,2524,1200,2448,2506">después</WORD>
<WORD coords="1260,2512,1314,2456,2512">¡a</WORD>
<WORD coords="1364,2518,1496,2470,2515">otra</WORD>
<WORD coords="1554,2528,1740,2482,2523">razón</WORD>
<WORD coords="1786,2554,1954,2474,2534">ig*ai</WORD>
<WORD coords="1988,2546,2004,2506,2546">;</WORD>
<WORD coords="2048,2546,2168,2492,2544">Asi</WORD>
<WORD coords="2226,2552,2276,2494,2550">h,</WORD>
<WORD coords="2342,2564,2598,2420,2559">proLw</WORD>
</LINE>
<LINE>
<WORD coords="238,2594,376,2554,2591">cion</WORD>
<WORD coords="438,2596,514,2552,2596">de</WORD>
<WORD coords="576,2606,784,2550,2602">arriba</WORD>
<WORD coords="814,2620,1248,2554,2612">escribiremos</WORD>
<WORD coords="1280,2620,1356,2564,2620">de</WORD>
<WORD coords="1388,2624,1518,2580,2623">esta</WORD>
<WORD coords="1554,2634,1792,2592,2631">manera</WORD>
<WORD coords="1822,2656,1844,2624,2649">,</WORD>
<WORD coords="1884,2642,1920,2592,2633">8</WORD>
<WORD coords="1982,2624,2014,2592,2624">•</WORD>
<WORD coords="2082,2654,2118,2594,2654">4</WORD>
<WORD coords="2312,2660,2346,2606,2660">6</WORD>
<WORD coords="2422,2640,2450,2614,2640">.</WORD>
<WORD coords="2526,2674,2574,2590,2674">¿</WORD>
</LINE>
<LINE>
<WORD coords="238,2700,398,2638,2698">Para</WORD>
<WORD coords="456,2706,580,2648,2703">leer</WORD>
<WORD coords="638,2710,690,2652,2708">la</WORD>
<WORD coords="752,2734,1118,2664,2716">proporción</WORD>
<WORD coords="1172,2746,1550,2676,2730">geométrica</WORD>
<WORD coords="1584,2750,1598,2724,2744">,</WORD>
<WORD coords="1628,2738,1680,2682,2738">al</WORD>
<WORD coords="1730,2756,1918,2686,2740">llepar</WORD>
<WORD coords="1978,2744,2006,2642,2744">l</WORD>
<WORD coords="2058,2752,2080,2672,2736">¡f</WORD>
<WORD coords="2074,2758,2142,2702,2754">oá</WORD>
<WORD coords="2184,2758,2252,2652,2739">¿*</WORD>
<WORD coords="2310,2766,2344,2724,2766">v</WORD>
<WORD coords="2368,2756,2438,2664,2734">,&apos;</WORD>
<WORD coords="2480,2756,2492,2740,2749">,</WORD>
<WORD coords="2572,2742,2588,2658,2742">!</WORD>
</LINE>
<LINE>
<WORD coords="228,2804,328,2756,2801">tos</WORD>
<WORD coords="376,2808,438,2772,2807">se</WORD>
<WORD coords="490,2826,892,2762,2814">pronunciará</WORD>
<WORD coords="946,2824,1000,2768,2823">la</WORD>
<WORD coords="1056,2834,1178,2792,2829">voz</WORD>
<WORD coords="1236,2840,1394,2796,2835">como</WORD>
<WORD coords="1430,2856,1448,2804,2849">;</WORD>
<WORD coords="1506,2842,1558,2802,2840">v.</WORD>
<WORD coords="1610,2866,1668,2808,2852">g.</WORD>
<WORD coords="1728,2848,1760,2800,2848">8</WORD>
<WORD coords="1828,2858,1858,2798,2857">;</WORD>
<WORD coords="1930,2856,1960,2804,2856">4</WORD>
<WORD coords="2106,2866,2138,2814,2866">6</WORD>
<WORD coords="2208,2838,2230,2814,2850">•</WORD>
<WORD coords="2308,2850,2340,2826,2850">o</WORD>
<WORD coords="2390,2870,2404,2742,2822">&apos;,</WORD>
<WORD coords="2440,2788,2448,2746,2788">&apos;</WORD>
</LINE>
<LINE>
<WORD coords="232,2914,368,2868,2911">mos</WORD>
<WORD coords="412,2914,506,2858,2914">asi</WORD>
<WORD coords="540,2918,556,2882,2923">:</WORD>
<WORD coords="608,2920,646,2870,2924">8</WORD>
<WORD coords="704,2924,764,2888,2924">ts</WORD>
<WORD coords="818,2928,846,2872,2928">á</WORD>
<WORD coords="890,2930,932,2880,2930">4</WORD>
<WORD coords="972,2938,1132,2894,2934">como</WORD>
<WORD coords="1170,2938,1208,2886,2938">6</WORD>
<WORD coords="1252,2942,1314,2904,2941">es</WORD>
<WORD coords="1360,2944,1398,2908,2944">a</WORD>
<WORD coords="1454,2948,1510,2896,2940">3.</WORD>
<WORD coords="2002,2880,2066,2854,2904">&quot;</WORD>
<WORD coords="2202,2888,2228,2864,2888">*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="486,3028,684,2966,3026">Como</WORD>
<WORD coords="748,3052,1114,2984,3036">proporción</WORD>
<WORD coords="1176,3046,1240,3008,3045">es</WORD>
<WORD coords="1300,3070,1598,2990,3051">igualdad</WORD>
<WORD coords="1656,3058,1734,3002,3058">de</WORD>
<WORD coords="1792,3084,2102,3024,3064">razones,</WORD>
<WORD coords="2178,3090,2218,3040,3087">y</WORD>
<WORD coords="2276,3090,2422,3034,3087">cada</WORD>
<WORD coords="2482,3090,2546,3060,3090">ra</WORD>
</LINE>
<LINE>
<WORD coords="226,3122,352,3076,3122">*«n</WORD>
<WORD coords="408,3130,568,3070,3125">tiene</WORD>
<WORD coords="624,3136,736,3078,3133">dos</WORD>
<WORD coords="796,3146,1096,3086,3141">términos</WORD>
<WORD coords="1128,3160,1142,3116,3159">;</WORD>
<WORD coords="1186,3150,1250,3114,3149">se</WORD>
<WORD coords="1304,3176,1476,3096,3154">sigue</WORD>
<WORD coords="1514,3170,1532,3146,3170">,</WORD>
<WORD coords="1590,3180,1706,3124,3163">que</WORD>
<WORD coords="1760,3170,1904,3114,3165">toda</WORD>
<WORD coords="1964,3196,2324,3130,3181">proporción</WORD>
<WORD coords="2406,3208,2584,3108,3206">U¿</WORD>
</LINE>
<LINE>
<WORD coords="224,3232,284,3178,3226">•a</WORD>
<WORD coords="330,3228,414,3172,3227">de-</WORD>
<WORD coords="466,3244,678,3190,3237">cuatro</WORD>
<WORD coords="744,3250,1060,3192,3245">tetadnos.</WORD>
<WORD coords="1158,3258,1238,3200,3256">Al</WORD>
<WORD coords="1294,3274,1558,3206,3260">primero</WORD>
<WORD coords="1610,3286,1648,3230,3281">y</WORD>
<WORD coords="1722,3276,1938,3214,3271">ult.mo</WORD>
<WORD coords="1998,3292,2294,3230,3286">términos</WORD>
<WORD coords="2352,3304,2420,3264,3302">se</WORD>
<WORD coords="2490,3314,2578,3252,3312">fe.</WORD>
</LINE>
<LINE>
<WORD coords="222,3342,408,3272,3335">Mama</WORD>
<WORD coords="452,3346,740,3292,3342">eremos</WORD>
<WORD coords="770,3364,788,3312,3366">j</WORD>
<WORD coords="824,3350,874,3296,3350">al</WORD>
<WORD coords="934,3378,1214,3304,3357">segundo</WORD>
<WORD coords="1276,3384,1312,3328,3377">y</WORD>
<WORD coords="1372,3370,1608,3324,3368">tercero</WORD>
<WORD coords="1666,3374,1730,3338,3373">se</WORD>
<WORD coords="1792,3378,1876,3322,3378">¡es</WORD>
<WORD coords="1932,3392,2186,3336,3385">nombra</WORD>
<WORD coords="2248,3408,2402,3352,3404">Mfdi</WORD>
<WORD coords="2408,3398,2434,3372,3398">r</WORD>
<WORD coords="2438,3412,2470,3376,3412">s</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="410,3446,418,3438,3461">•</WORD>
<WORD coords="472,3446,530,3392,3446">A</WORD>
<WORD coords="600,3452,726,3412,3450">mas</WORD>
<WORD coords="774,3456,852,3398,3455">de</WORD>
<WORD coords="912,3462,1044,3416,3461">esto</WORD>
<WORD coords="1098,3466,1150,3410,3465">la</WORD>
<WORD coords="1206,3488,1568,3420,3470">proporción</WORD>
<WORD coords="1616,3478,1682,3440,3478">es</WORD>
<WORD coords="1740,3492,2010,3426,3485">distreta</WORD>
<WORD coords="2038,3508,2058,3478,3508">,</WORD>
<WORD coords="2088,3516,2280,3456,3499">cuyos</WORD>
<WORD coords="2330,3520,2426,3472,3516">at</WORD>
<WORD coords="2432,3518,2496,3396,3518">¿</WORD>
<WORD coords="2502,3524,2570,3476,3524">0a</WORD>
</LINE>
<LINE>
<WORD coords="222,3552,352,3504,3542">son.</WORD>
<WORD coords="394,3558,734,3492,3553">dientes</WORD>
<WORD coords="766,3566,784,3528,3566">;</WORD>
<WORD coords="842,3584,882,3526,3584">y</WORD>
<WORD coords="1338,3598,1536,3540,3576">cuyos</WORD>
<WORD coords="1626,3586,1868,3530,3583">medins</WORD>
<WORD coords="1928,3596,2036,3554,3595">8on</WORD>
<WORD coords="2128,3554,2138,3546,3556">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="219,3658,257,3622,3669">*</WORD>
<WORD coords="299,3682,357,3655,3681">«•</WORD>
<WORD coords="400,3657,435,3622,3669">°</WORD>
<WORD coords="499,3686,527,3660,3683">♦</WORD>
<WORD coords="605,3666,635,3629,3673">¿</WORD>
<WORD coords="669,3669,732,3631,3667">es</WORD>
<WORD coords="769,3689,1068,3633,3672">proporc!,</WORD>
<WORD coords="1100,3679,1137,3643,3679">n</WORD>
<WORD coords="1170,3682,1395,3626,3679">discret</WORD>
<WORD coords="1458,3698,1474,3651,3691">;</WORD>
<WORD coords="1527,3684,1557,3639,3682">8</WORD>
<WORD coords="1624,3660,1649,3636,3674">•</WORD>
<WORD coords="1750,3691,1787,3645,3683">4</WORD>
<WORD coords="1854,3669,1911,3645,3674">••</WORD>
<WORD coords="1962,3699,1988,3654,3689">4.</WORD>
<WORD coords="2049,3675,2072,3650,3678">•</WORD>
<WORD coords="2150,3706,2183,3662,3706">2</WORD>
<WORD coords="2216,3712,2277,3674,3712">es</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="219,3764,357,3710,3762">CÍOn</WORD>
<WORD coords="423,3774,710,3716,3768">CCiilíiUia</WORD>
<WORD coords="718,3776,734,3759,3793">-</WORD>
<WORD coords="832,3780,981,3722,3778">Para</WORD>
<WORD coords="1044,3782,1077,3724,3782">f</WORD>
<WORD coords="1072,3787,1276,3749,3786">&lt;^^ar</WORD>
<WORD coords="1337,3789,1454,3754,3788">una</WORD>
<WORD coords="1515,3811,1911,3695,3795">proporción&quot;</WORD>
<WORD coords="1939,3812,2209,3693,3807">di.crJa</WORD>
<WORD coords="2255,3819,2362,3783,3818">con</WORD>
<WORD coords="2388,3827,2561,3690,3825">T.cU</WORD>
</LINE>
<LINE>
<WORD coords="209,3870,383,3808,3867">lidad</WORD>
<WORD coords="429,3872,494,3835,3871">se</WORD>
<WORD coords="556,3890,709,3838,3876">pone</WORD>
<WORD coords="760,3897,870,3844,3881">por</WORD>
<WORD coords="930,3902,1193,3831,3886">primera</WORD>
<WORD coords="1248,3893,1437,3855,3891">razón</WORD>
<WORD coords="1490,3897,1605,3861,3896">una</WORD>
<WORD coords="1668,3918,2020,3849,3904">cualquiera</WORD>
<WORD coords="2056,3915,2065,3903,3915">.</WORD>
<WORD coords="2099,3936,2141,3879,3934">y</WORD>
<WORD coords="2190,3932,2293,3883,3918">pur</WORD>
</LINE>
<LINE>
<WORD coords="204,3970,283,3916,3969">da</WORD>
<WORD coords="333,3974,385,3922,3973">la</WORD>
<WORD coords="443,3996,704,3911,3983">pernera</WORD>
<WORD coords="753,3999,1017,3932,3986">después</WORD>
<WORD coords="1075,3993,1151,3941,3992">de</WORD>
<WORD coords="1210,4022,1581,3926,4001">multiplicar</WORD>
<WORD coords="1638,4007,1675,3952,4007">ó</WORD>
<WORD coords="1748,4031,1939,3909,4018">pá/tif</WORD>
<WORD coords="2168,4028,2280,3952,4027">dU</WORD>
<WORD coords="2347,4033,2371,3984,4033">|</WORD>
<WORD coords="2372,4043,2504,3998,4039">G|IJU</WORD>
<WORD coords="2507,4043,2566,3911,4043">J</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="205,4080,318,4035,4078">eos</WORD>
<WORD coords="381,4101,492,4044,4083">por</WORD>
<WORD coords="549,4089,628,4050,4088">un</WORD>
<WORD coords="682,4096,909,4036,4093">mismo</WORD>
<WORD coords="963,4104,1201,4060,4102">numen</WORD>
<WORD coords="1242,4104,1262,4071,4104">:</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0129.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0130.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0130.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1728,486,1952,396,484">120</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="899,608,1057,551,607">Para</WORD>
<WORD coords="1111,610,1369,551,606">escribir</WORD>
<WORD coords="1423,606,1483,548,605">la</WORD>
<WORD coords="1534,625,1903,551,605">proporción</WORD>
<WORD coords="1978,608,2267,549,606">continua</WORD>
<WORD coords="2301,625,2317,593,617">,</WORD>
<WORD coords="2387,610,2627,550,608">cuando</WORD>
<WORD coords="2700,611,2780,570,610">no</WORD>
<WORD coords="2846,628,3011,551,611">haya</WORD>
</LINE>
<LINE>
<WORD coords="649,726,784,683,723">mas</WORD>
<WORD coords="844,720,924,664,717">ñn</WORD>
<WORD coords="994,735,1113,679,715">que</WORD>
<WORD coords="1155,732,1501,656,712">espresarla</WORD>
<WORD coords="1554,712,1665,675,711">con</WORD>
<WORD coords="1720,732,2045,657,712">prontitud</WORD>
<WORD coords="2092,730,2131,677,722">y</WORD>
<WORD coords="2189,712,2283,656,712">sin</WORD>
<WORD coords="2341,734,2691,657,713">quebrados</WORD>
<WORD coords="2719,732,2739,701,732">5</WORD>
<WORD coords="2783,718,2847,680,717">se</WORD>
<WORD coords="2899,735,3005,682,720">po*</WORD>
</LINE>
<LINE>
<WORD coords="650,833,725,796,832">ne</WORD>
<WORD coords="774,848,884,791,827">por</WORD>
<WORD coords="928,843,1160,766,822">primer</WORD>
<WORD coords="1208,822,1475,764,819">termino</WORD>
<WORD coords="1531,820,1615,781,818">un</WORD>
<WORD coords="1666,819,1926,781,818">numero</WORD>
<WORD coords="1992,838,2348,762,818">cualquiera</WORD>
<WORD coords="2381,836,2398,788,836">;</WORD>
<WORD coords="2449,837,2555,781,819">por</WORD>
<WORD coords="2594,821,2651,774,821">2.</WORD>
<WORD coords="2680,802,2716,767,811">°</WORD>
<WORD coords="2766,841,2808,785,832">y</WORD>
<WORD coords="2858,824,2916,772,822">3,</WORD>
<WORD coords="2941,805,2981,769,805">°</WORD>
</LINE>
<LINE>
<WORD coords="650,941,730,903,939">un</WORD>
<WORD coords="786,952,1072,878,933">múltiplo</WORD>
<WORD coords="1129,933,1376,877,932">dell.°</WORD>
<WORD coords="1421,954,1460,898,952">y</WORD>
<WORD coords="1518,950,1630,895,931">por</WORD>
<WORD coords="1672,933,1713,883,932">4</WORD>
<WORD coords="1758,912,1793,877,912">o</WORD>
<WORD coords="1848,934,1905,876,932">el</WORD>
<WORD coords="1955,927,2181,872,926">mismo</WORD>
<WORD coords="2236,945,2519,871,926">múltiplo</WORD>
<WORD coords="2576,933,2675,874,929">del</WORD>
<WORD coords="2708,936,2768,883,934">3.</WORD>
<WORD coords="2885,935,3006,880,934">Por</WORD>
</LINE>
<LINE>
<WORD coords="653,1064,900,988,1042">ejemplo</WORD>
<WORD coords="936,1062,957,1029,1051">,</WORD>
<WORD coords="1003,1041,1243,984,1039">escribo</WORD>
<WORD coords="1300,1040,1356,984,1039">el</WORD>
<WORD coords="1402,1057,1634,983,1038">primer</WORD>
<WORD coords="1674,1039,1943,981,1038">termino</WORD>
<WORD coords="1992,1037,2026,990,1038">5</WORD>
<WORD coords="2063,1055,2081,1025,1055">,</WORD>
<WORD coords="2125,1055,2377,981,1037">duplico</WORD>
<WORD coords="2423,1038,2550,993,1037">este</WORD>
<WORD coords="2603,1058,2644,1000,1058">y</WORD>
<WORD coords="2691,1062,2889,1003,1039">pong-&gt;</WORD>
<WORD coords="2929,1043,3005,994,1042">10</WORD>
</LINE>
<LINE>
<WORD coords="648,1168,763,1111,1146">por</WORD>
<WORD coords="818,1168,1099,1090,1145">segundo</WORD>
<WORD coords="1149,1166,1187,1111,1155">y</WORD>
<WORD coords="1232,1145,1475,1101,1144">tercero</WORD>
<WORD coords="1510,1159,1526,1132,1159">,</WORD>
<WORD coords="1554,1165,1591,1108,1164">y</WORD>
<WORD coords="1654,1164,2031,1087,1144">duplicando</WORD>
<WORD coords="2081,1145,2138,1089,1144">el</WORD>
<WORD coords="2202,1144,2278,1094,1143">10</WORD>
<WORD coords="2313,1167,2509,1108,1142">pongo</WORD>
<WORD coords="2566,1148,2620,1093,1147">el</WORD>
<WORD coords="2675,1150,2865,1090,1146">duplo</WORD>
<WORD coords="2928,1151,3012,1098,1149">20</WORD>
</LINE>
<LINE>
<WORD coords="645,1274,761,1215,1253">por</WORD>
<WORD coords="823,1253,1036,1208,1251">cuarto</WORD>
<WORD coords="1085,1254,1350,1198,1252">termino</WORD>
<WORD coords="1377,1267,1393,1241,1252">,</WORD>
<WORD coords="1447,1252,1629,1215,1251">como</WORD>
<WORD coords="1689,1252,1752,1215,1252">se</WORD>
<WORD coords="1802,1252,1877,1215,1251">ve</WORD>
<WORD coords="1924,1272,2069,1196,1252">aqui</WORD>
<WORD coords="2105,1267,2121,1241,1259">,</WORD>
<WORD coords="2179,1250,2212,1203,1251">5</WORD>
<WORD coords="2281,1276,2310,1198,1276">J</WORD>
<WORD coords="2391,1251,2461,1204,1251">10</WORD>
<WORD coords="2529,1224,2588,1201,1233">••</WORD>
<WORD coords="2661,1252,2734,1205,1251">10</WORD>
<WORD coords="2799,1228,2825,1200,1240">•</WORD>
<WORD coords="2901,1261,3005,1207,1257">20.</WORD>
</LINE>
<LINE>
<WORD coords="650,1362,744,1304,1361">La</WORD>
<WORD coords="807,1379,1180,1302,1358">proporción</WORD>
<WORD coords="1245,1358,1534,1302,1357">continua</WORD>
<WORD coords="1594,1358,1656,1321,1357">se</WORD>
<WORD coords="1719,1360,1957,1302,1358">escribe</WORD>
<WORD coords="2032,1360,2563,1304,1358">abrevi?üamer¿tt</WORD>
<WORD coords="2624,1365,2711,1310,1365">asi</WORD>
<WORD coords="2746,1378,2764,1350,1378">y</WORD>
<WORD coords="2832,1357,2886,1347,1358">~</WORD>
<WORD coords="2950,1367,3011,1316,1366">5:</WORD>
</LINE>
<LINE>
<WORD coords="659,1469,737,1419,1468">10</WORD>
<WORD coords="774,1469,789,1435,1468">:</WORD>
<WORD coords="840,1467,921,1417,1466">20</WORD>
<WORD coords="952,1477,967,1454,1477">,</WORD>
<WORD coords="1018,1485,1060,1429,1476">y</WORD>
<WORD coords="1107,1467,1175,1430,1466">se</WORD>
<WORD coords="1223,1464,1317,1407,1464">lee</WORD>
<WORD coords="1375,1466,1919,1408,1464">abreviadamente</WORD>
<WORD coords="1964,1464,1999,1419,1464">5</WORD>
<WORD coords="2049,1466,2108,1428,1465">es</WORD>
<WORD coords="2162,1467,2199,1430,1467">a</WORD>
<WORD coords="2253,1467,2332,1417,1466">ÍO</WORD>
<WORD coords="2363,1467,2423,1430,1467">es</WORD>
<WORD coords="2479,1470,2517,1433,1470">a</WORD>
<WORD coords="2575,1472,2674,1421,1470">20.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="739,1574,877,1522,1573">161.</WORD>
<WORD coords="966,1573,1279,1516,1571">Teorema</WORD>
<WORD coords="1336,1573,1784,1514,1571">fundamental.</WORD>
<WORD coords="1863,1573,1941,1516,1572">El</WORD>
<WORD coords="1982,1592,2280,1516,1572">producto</WORD>
<WORD coords="2327,1573,2399,1520,1573">de</WORD>
<WORD coords="2468,1577,2555,1521,1575">los</WORD>
<WORD coords="2604,1583,2889,1533,1579">esttemos</WORD>
<WORD coords="2951,1584,3015,1544,1583">es</WORD>
</LINE>
<LINE>
<WORD coords="649,1701,828,1626,1679">igual</WORD>
<WORD coords="889,1679,950,1623,1679">al</WORD>
<WORD coords="1020,1700,1317,1621,1676">producto</WORD>
<WORD coords="1393,1679,1464,1622,1678">de</WORD>
<WORD coords="1524,1678,1608,1622,1677">los</WORD>
<WORD coords="1663,1678,1884,1623,1676">medios</WORD>
<WORD coords="1955,1678,2027,1641,1677">en</WORD>
<WORD coords="2088,1679,2145,1623,1677">la</WORD>
<WORD coords="2213,1701,2588,1628,1680">proporción</WORD>
<WORD coords="2637,1705,3016,1633,1686">geométrica</WORD>
</LINE>
<LINE>
<WORD coords="648,1791,915,1735,1787">discreta</WORD>
<WORD coords="942,1800,958,1776,1800">,</WORD>
<WORD coords="997,1807,1037,1750,1797">y</WORD>
<WORD coords="1084,1784,1146,1729,1784">al</WORD>
<WORD coords="1193,1786,1495,1728,1784">cuadrado</WORD>
<WORD coords="1553,1787,1652,1727,1785">del</WORD>
<WORD coords="1700,1787,1953,1738,1784">termino</WORD>
<WORD coords="2000,1786,2186,1731,1785">medio</WORD>
<WORD coords="2233,1793,2303,1750,1789">en</WORD>
<WORD coords="2351,1787,2406,1736,1787">la</WORD>
<WORD coords="2458,1794,2765,1738,1788">conirmia.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="906,1913,1314,1835,1890">íLsplicacion,</WORD>
<WORD coords="1374,1892,1491,1836,1891">Sea</WORD>
<WORD coords="1527,1892,1583,1836,1892">la</WORD>
<WORD coords="1640,1908,2007,1837,1889">proporción</WORD>
<WORD coords="2042,1897,2310,1838,1894">discreta</WORD>
<WORD coords="2342,1894,2374,1847,1894">8</WORD>
<WORD coords="2429,1920,2459,1846,1920">J</WORD>
<WORD coords="2531,1896,2565,1852,1896">4</WORD>
<WORD coords="2632,1920,2694,1842,1896">¡*</WORD>
<WORD coords="2762,1899,2796,1849,1899">6</WORD>
<WORD coords="2851,1921,2879,1847,1921">J</WORD>
<WORD coords="2954,1917,3016,1851,1909">3^</WORD>
</LINE>
<LINE>
<WORD coords="652,2019,776,1961,2000">voy</WORD>
<WORD coords="827,2000,859,1944,2000">á</WORD>
<WORD coords="912,2000,1263,1943,1997">demostrar</WORD>
<WORD coords="1323,2016,1442,1961,1998">que</WORD>
<WORD coords="1495,2019,1733,1945,2002">8^3</WORD>
<WORD coords="1788,1998,1895,1960,1996">z=z</WORD>
<WORD coords="1951,2000,1989,1951,2000">4</WORD>
<WORD coords="2048,2014,2115,1948,2014">X</WORD>
<WORD coords="2173,2003,2231,1950,2002">6.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="905,2108,1395,2050,2106">Demostración.</WORD>
<WORD coords="1487,2110,1687,2052,2108">Como</WORD>
<WORD coords="1722,2125,2087,2054,2107">proporción</WORD>
<WORD coords="2146,2112,2211,2075,2111">es</WORD>
<WORD coords="2271,2132,2567,2055,2112">igualdad</WORD>
<WORD coords="2614,2117,2692,2060,2116">de</WORD>
<WORD coords="2739,2120,2996,2080,2118">razones</WORD>
<WORD coords="3004,2137,3026,2105,2137">#</WORD>
</LINE>
<LINE>
<WORD coords="650,2234,692,2174,2226">y</WORD>
<WORD coords="756,2215,905,2157,2213">toda</WORD>
<WORD coords="970,2215,1160,2177,2213">razón</WORD>
<WORD coords="1234,2215,1298,2175,2214">es</WORD>
<WORD coords="1368,2215,1450,2171,2215">ün</WORD>
<WORD coords="1527,2233,1882,2160,2215">quebrado,</WORD>
<WORD coords="1944,2220,2300,2165,2218">tendremos</WORD>
<WORD coords="2363,2240,2481,2185,2222">que</WORD>
<WORD coords="2526,2224,2580,2172,2223">la</WORD>
<WORD coords="2648,2243,3019,2170,2225">proporción</WORD>
</LINE>
<LINE>
<WORD coords="655,2322,1058,2263,2320">antecedente</WORD>
<WORD coords="1115,2321,1251,2283,2320">sera</WORD>
<WORD coords="1312,2321,1345,2272,2323">8</WORD>
<WORD coords="1373,2317,1479,2280,2321">=</WORD>
<WORD coords="1509,2320,1543,2269,2323">6</WORD>
<WORD coords="1576,2336,1593,2310,2336">,</WORD>
<WORD coords="1634,2342,1675,2286,2334">y</WORD>
<WORD coords="1734,2327,2113,2268,2325">reduciendo</WORD>
<WORD coords="2172,2327,2263,2272,2326">los</WORD>
<WORD coords="2315,2348,2660,2274,2330">quebrados</WORD>
<WORD coords="2718,2335,2750,2278,2335">á</WORD>
<WORD coords="2803,2336,2883,2298,2335">un</WORD>
<WORD coords="2918,2336,3021,2299,2335">co-</WORD>
</LINE>
<LINE>
<WORD coords="1312,2428,1352,2378,2428">4</WORD>
<WORD coords="1502,2427,1535,2381,2427">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="655,2516,805,2474,2513">mun</WORD>
<WORD coords="873,2513,1329,2454,2510">denominador</WORD>
<WORD coords="1365,2527,1384,2498,2521">,</WORD>
<WORD coords="1456,2514,1815,2454,2512">tendremos</WORD>
<WORD coords="1870,2517,1904,2469,2517">8</WORD>
<WORD coords="1961,2537,2025,2473,2537">X</WORD>
<WORD coords="2067,2512,2095,2465,2513">3</WORD>
<WORD coords="2154,2512,2260,2475,2513">=</WORD>
<WORD coords="2314,2518,2353,2467,2518">4</WORD>
<WORD coords="2392,2535,2461,2477,2535">x</WORD>
<WORD coords="2513,2519,2574,2467,2519">6.</WORD>
<WORD coords="2668,2525,2734,2467,2525">Si</WORD>
<WORD coords="2805,2529,3020,2465,2525">ambos</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1873,2622,1911,2574,2623">4</WORD>
<WORD coords="1936,2632,2004,2579,2632">X</WORD>
<WORD coords="2040,2623,2093,2554,2602">~3</WORD>
<WORD coords="2326,2627,2366,2577,2626">4</WORD>
<WORD coords="2419,2626,2476,2571,2626">X</WORD>
<WORD coords="2508,2624,2588,2546,2624">T</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="650,2706,995,2646,2703">miembros</WORD>
<WORD coords="1043,2704,1120,2649,2704">de</WORD>
<WORD coords="1171,2703,1227,2647,2703">la</WORD>
<WORD coords="1277,2704,1573,2646,2702">ecuación</WORD>
<WORD coords="1633,2713,2120,2647,2704">multiplicamos</WORD>
<WORD coords="2176,2725,2288,2670,2707">por</WORD>
<WORD coords="2349,2710,2430,2672,2708">un</WORD>
<WORD coords="2477,2709,2701,2653,2708">mismo</WORD>
<WORD coords="2733,2716,2993,2675,2713">numero</WORD>
<WORD coords="2997,2733,3020,2703,2733">#</WORD>
</LINE>
<LINE>
<WORD coords="655,2811,737,2772,2809">tío</WORD>
<WORD coords="768,2812,831,2776,2811">se</WORD>
<WORD coords="890,2812,1152,2760,2809">alterara</WORD>
<WORD coords="1198,2812,1254,2757,2811">la</WORD>
<WORD coords="1312,2811,1603,2756,2810">ecuación</WORD>
<WORD coords="1637,2831,1821,2759,2819">(158)</WORD>
<WORD coords="1856,2825,1874,2775,2825">;</WORD>
<WORD coords="1914,2834,2541,2759,2815">muUipíiquemoslos</WORD>
<WORD coords="2606,2834,2753,2778,2816">pues</WORD>
<WORD coords="2816,2836,2929,2782,2817">por</WORD>
<WORD coords="2959,2821,3017,2763,2820">el</WORD>
</LINE>
<LINE>
<WORD coords="654,2920,1109,2862,2918">denominador</WORD>
<WORD coords="1170,2935,1462,2869,2935">3X4,</WORD>
<WORD coords="1526,2934,1669,2884,2920">para</WORD>
<WORD coords="1725,2922,1780,2872,2922">ío</WORD>
<WORD coords="1835,2942,1953,2886,2923">que</WORD>
<WORD coords="2009,2925,2179,2869,2923">basta</WORD>
<WORD coords="2243,2941,2602,2867,2923">suprimirlo</WORD>
<WORD coords="2674,2923,2748,2887,2922">en</WORD>
<WORD coords="2808,2928,3023,2870,2925">ambos</WORD>
</LINE>
<LINE>
<WORD coords="654,3025,997,2968,3023">miembros</WORD>
<WORD coords="1057,3048,1227,2977,3030">(108.</WORD>
<WORD coords="1286,3029,1426,2970,3027">Cor.</WORD>
<WORD coords="1487,3048,1704,2972,3034">2.°),</WORD>
<WORD coords="1755,3050,1797,2992,3039">y</WORD>
<WORD coords="1854,3029,1965,2991,3029">nos</WORD>
<WORD coords="2010,3032,2308,2979,3030">resultara</WORD>
<WORD coords="2354,3031,2389,2982,3031">8</WORD>
<WORD coords="2441,3032,2496,2974,3032">X</WORD>
<WORD coords="2526,3029,2558,2981,3028">3</WORD>
<WORD coords="2611,3025,2717,2985,3025">=5</WORD>
<WORD coords="2775,3029,2813,2980,3029">4</WORD>
<WORD coords="2850,3030,2905,2972,3030">X</WORD>
<WORD coords="2958,3052,3056,2979,3041">6/</WORD>
</LINE>
<LINE>
<WORD coords="660,3130,740,3073,3130">L.</WORD>
<WORD coords="808,3144,890,3073,3134">Q.</WORD>
<WORD coords="949,3132,1026,3076,3130">D.</WORD>
<WORD coords="1086,3134,1164,3077,3134">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="909,3237,971,3183,3237">Si</WORD>
<WORD coords="1024,3239,1079,3184,3237">la</WORD>
<WORD coords="1135,3259,1505,3187,3240">proporción</WORD>
<WORD coords="1560,3243,1628,3206,3243">es</WORD>
<WORD coords="1695,3263,2038,3187,3242">continua,</WORD>
<WORD coords="2098,3245,2178,3189,3243">tal</WORD>
<WORD coords="2229,3248,2407,3207,3246">como</WORD>
<WORD coords="2459,3252,2724,3195,3247">5:10::</WORD>
<WORD coords="2771,3243,2846,3192,3243">10</WORD>
<WORD coords="2879,3246,2894,3211,3246">:</WORD>
<WORD coords="2929,3243,3007,3191,3242">20</WORD>
<WORD coords="3011,3265,3028,3237,3265">f</WORD>
</LINE>
<LINE>
<WORD coords="661,3345,1020,3287,3342">tendremos</WORD>
<WORD coords="1078,3346,1110,3300,3348">5</WORD>
<WORD coords="1153,3359,1258,3316,3348">¡~</WORD>
<WORD coords="1305,3347,1379,3299,3349">10</WORD>
<WORD coords="1401,3354,1423,3314,3351">;</WORD>
<WORD coords="1457,3351,1836,3293,3349">reduciendo</WORD>
<WORD coords="1885,3348,1975,3292,3348">los</WORD>
<WORD coords="2027,3367,2371,3295,3351">quebrados</WORD>
<WORD coords="2419,3353,2450,3298,3353">á</WORD>
<WORD coords="2500,3355,2581,3317,3354">un</WORD>
<WORD coords="2635,3358,2857,3315,3354">común</WORD>
<WORD coords="2915,3358,3027,3299,3357">de-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1079,3453,1152,3406,3453">10</WORD>
<WORD coords="1321,3454,1401,3379,3453">ib</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="674,3534,734,3495,3533">ru</WORD>
<WORD coords="762,3534,1044,3475,3532">minador</WORD>
<WORD coords="1099,3537,1233,3497,3535">sera</WORD>
<WORD coords="1292,3533,1323,3488,3537">5</WORD>
<WORD coords="1377,3555,1444,3490,3555">X</WORD>
<WORD coords="1511,3540,1592,3491,3539">20</WORD>
<WORD coords="1631,3527,1736,3512,3534">—</WORD>
<WORD coords="1804,3542,1878,3493,3541">10</WORD>
<WORD coords="1925,3557,1993,3488,3557">X</WORD>
<WORD coords="2066,3541,2142,3492,3541">1°</WORD>
<WORD coords="2173,3554,2190,3528,3554">1</WORD>
<WORD coords="2242,3560,2281,3503,3560">y</WORD>
<WORD coords="2335,3560,2806,3483,3539">multiplicando</WORD>
<WORD coords="2874,3543,3028,3484,3541">cada</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1298,3646,1370,3600,3645">lu</WORD>
<WORD coords="1403,3662,1469,3602,3662">x</WORD>
<WORD coords="1516,3646,1596,3598,3647">20</WORD>
<WORD coords="1813,3649,1887,3599,3650">10</WORD>
<WORD coords="1938,3667,2005,3597,3667">X</WORD>
<WORD coords="2061,3647,2141,3600,3647">20</WORD>
</LINE>
<LINE>
<WORD coords="668,3729,983,3667,3721">quebrado</WORD>
<WORD coords="1042,3741,1152,3687,3725">por</WORD>
<WORD coords="1202,3731,1275,3693,3730">su</WORD>
<WORD coords="1333,3733,1784,3673,3730">denominador</WORD>
<WORD coords="1811,3745,1827,3718,3739">,</WORD>
<WORD coords="1882,3730,2179,3685,3729">resultara</WORD>
<WORD coords="2238,3731,2274,3680,3732">5</WORD>
<WORD coords="2333,3750,2401,3675,3750">X</WORD>
<WORD coords="2456,3730,2535,3678,3729">20</WORD>
<WORD coords="2582,3742,2688,3699,3736">=</WORD>
<WORD coords="2749,3732,2853,3676,3727">102</WORD>
<WORD coords="2890,3732,2905,3715,3732">•</WORD>
<WORD coords="2935,3747,3019,3672,3742">I*t</WORD>
</LINE>
<LINE>
<WORD coords="670,3843,751,3773,3835">Q.</WORD>
<WORD coords="818,3831,895,3774,3827">O.</WORD>
<WORD coords="962,3831,1042,3774,3829">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="757,3939,894,3884,3939">162,</WORD>
<WORD coords="980,3944,1312,3879,3940">Teorema.</WORD>
<WORD coords="1356,3945,1425,3886,3944">Si</WORD>
<WORD coords="1471,3949,1681,3898,3946">cuatro</WORD>
<WORD coords="1731,3950,2008,3907,3948">números</WORD>
<WORD coords="2064,3948,2175,3906,3947">so?i</WORD>
<WORD coords="2238,3949,2387,3887,3946">tales</WORD>
<WORD coords="2406,3965,2432,3931,3965">,</WORD>
<WORD coords="2463,3969,2576,3904,3946">que</WORD>
<WORD coords="2632,3944,2687,3885,3943">el</WORD>
<WORD coords="2718,3967,3018,3885,3944">producto</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0130.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0131.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0131.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1322,504,1528,414,502">121</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="249,632,323,575,631">de</WORD>
<WORD coords="379,628,481,570,627">dos</WORD>
<WORD coords="536,625,607,566,624">de</WORD>
<WORD coords="664,624,804,564,622">ellos</WORD>
<WORD coords="861,621,966,581,620">sea</WORD>
<WORD coords="1017,641,1192,564,617">igual</WORD>
<WORD coords="1246,620,1305,566,619">al</WORD>
<WORD coords="1353,640,1419,581,617">pr</WORD>
<WORD coords="1437,620,1644,574,619">oducto</WORD>
<WORD coords="1700,619,1772,564,619">de</WORD>
<WORD coords="1818,618,1981,571,617">otros</WORD>
<WORD coords="2039,617,2144,560,617">dos</WORD>
<WORD coords="2174,635,2192,606,627">,</WORD>
<WORD coords="2233,618,2438,557,615">dichos</WORD>
<WORD coords="2492,618,2601,575,616">nú-</WORD>
</LINE>
<LINE>
<WORD coords="250,736,447,696,732">meros</WORD>
<WORD coords="503,732,752,688,730">estarán</WORD>
<WORD coords="815,728,888,692,728">en</WORD>
<WORD coords="930,749,1301,671,725">proporción</WORD>
<WORD coords="1348,746,1720,680,724">geométrica</WORD>
<WORD coords="1755,743,1768,695,742">;</WORD>
<WORD coords="1826,742,1970,685,723">pero</WORD>
<WORD coords="2029,724,2101,667,724">de</WORD>
<WORD coords="2175,725,2338,671,724">modo</WORD>
<WORD coords="2385,746,2497,687,721">que</WORD>
<WORD coords="2549,722,2606,666,721">si</WORD>
</LINE>
<LINE>
<WORD coords="255,841,339,784,839">los</WORD>
<WORD coords="375,860,660,781,840">factores</WORD>
<WORD coords="715,836,787,780,835">de</WORD>
<WORD coords="843,834,923,797,833">un</WORD>
<WORD coords="975,853,1269,777,831">producto</WORD>
<WORD coords="1306,852,1567,775,834">forman</WORD>
<WORD coords="1620,835,1706,781,833">ios</WORD>
<WORD coords="1758,832,1978,775,831">medios</WORD>
<WORD coords="2012,846,2029,819,839">,</WORD>
<WORD coords="2058,830,2142,774,828">ios</WORD>
<WORD coords="2173,830,2337,783,828">otros</WORD>
<WORD coords="2387,828,2507,775,827">kan</WORD>
<WORD coords="2539,829,2609,772,829">de</WORD>
</LINE>
<LINE>
<WORD coords="233,968,493,887,948">formar</WORD>
<WORD coords="551,943,635,887,941">los</WORD>
<WORD coords="696,942,983,898,939">estreñios</WORD>
<WORD coords="1018,950,1033,928,950">,</WORD>
<WORD coords="1099,958,1139,902,949">y</WORD>
<WORD coords="1193,939,1256,883,938">al</WORD>
<WORD coords="1293,941,1625,890,938">contrario*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="506,1070,913,995,1049">Espizcación.</WORD>
<WORD coords="1001,1048,1118,991,1047">Sea</WORD>
<WORD coords="1167,1045,1221,994,1045">la</WORD>
<WORD coords="1275,1047,1569,991,1045">ecuación</WORD>
<WORD coords="1633,1044,1667,994,1044">3</WORD>
<WORD coords="1718,1061,1784,991,1061">X</WORD>
<WORD coords="1835,1043,1872,992,1044">6</WORD>
<WORD coords="1923,1040,2027,1005,1042">=</WORD>
<WORD coords="2075,1044,2110,997,1044">2</WORD>
<WORD coords="2169,1043,2223,987,1043">X</WORD>
<WORD coords="2274,1056,2355,991,1051">9;</WORD>
<WORD coords="2406,1061,2549,980,1041">Voy</WORD>
<WORD coords="2581,1042,2614,988,1042">i</WORD>
</LINE>
<LINE>
<WORD coords="248,1162,607,1102,1155">.demostrar</WORD>
<WORD coords="648,1174,664,1143,1173">,</WORD>
<WORD coords="702,1173,821,1120,1154">que</WORD>
<WORD coords="862,1154,978,1116,1153">con</WORD>
<WORD coords="1036,1152,1200,1108,1151">estos</WORD>
<WORD coords="1246,1154,1459,1109,1151">cuatro</WORD>
<WORD coords="1501,1151,1765,1094,1149">factores</WORD>
<WORD coords="1830,1169,2030,1096,1150">puedo</WORD>
<WORD coords="2087,1150,2320,1094,1149">formar</WORD>
<WORD coords="2379,1147,2431,1096,1146">la</WORD>
<WORD coords="2478,1162,2615,1109,1140">pro-</WORD>
</LINE>
<LINE>
<WORD coords="261,1282,517,1207,1261">porción</WORD>
<WORD coords="578,1260,609,1213,1260">3</WORD>
<WORD coords="648,1265,663,1229,1263">;</WORD>
<WORD coords="703,1261,739,1213,1259">2</WORD>
<WORD coords="894,1258,930,1208,1258">9</WORD>
<WORD coords="981,1266,996,1229,1262">;</WORD>
<WORD coords="1058,1258,1095,1207,1258">6</WORD>
<WORD coords="1133,1271,1149,1246,1264">,</WORD>
<WORD coords="1206,1258,1502,1201,1256">tomando</WORD>
<WORD coords="1565,1274,1672,1218,1254">por</WORD>
<WORD coords="1722,1256,2023,1210,1254">estremos</WORD>
<WORD coords="2076,1255,2131,1204,1255">el</WORD>
<WORD coords="2184,1254,2216,1207,1255">3</WORD>
<WORD coords="2275,1274,2310,1219,1265">y</WORD>
<WORD coords="2368,1252,2406,1201,1254">6</WORD>
<WORD coords="2441,1261,2456,1223,1259">;</WORD>
<WORD coords="2491,1253,2527,1203,1255">ó</WORD>
<WORD coords="2564,1256,2619,1200,1253">la</WORD>
</LINE>
<LINE>
<WORD coords="259,1373,300,1322,1372">2</WORD>
<WORD coords="357,1372,375,1337,1369">;</WORD>
<WORD coords="431,1367,464,1318,1367">3</WORD>
<WORD coords="508,1373,550,1336,1369">:;</WORD>
<WORD coords="586,1366,623,1316,1366">6</WORD>
<WORD coords="671,1366,683,1333,1365">:</WORD>
<WORD coords="738,1365,775,1315,1365">9</WORD>
<WORD coords="825,1381,842,1355,1373">,</WORD>
<WORD coords="898,1366,1190,1309,1364">tomando</WORD>
<WORD coords="1246,1381,1352,1327,1361">por</WORD>
<WORD coords="1413,1362,1711,1318,1361">estremos</WORD>
<WORD coords="1770,1360,1825,1308,1359">el</WORD>
<WORD coords="1868,1362,1904,1315,1362">2</WORD>
<WORD coords="1951,1382,1989,1325,1372">y</WORD>
<WORD coords="2049,1360,2107,1308,1360">9.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="433,1475,922,1419,1472">Demostración.</WORD>
<WORD coords="970,1471,1034,1415,1471">Si</WORD>
<WORD coords="1070,1470,1281,1414,1468">ambos</WORD>
<WORD coords="1331,1469,1666,1412,1467">miembros</WORD>
<WORD coords="1701,1467,2042,1411,1465">dividimos</WORD>
<WORD coords="2079,1485,2187,1428,1465">por</WORD>
<WORD coords="2231,1466,2284,1411,1466">el</WORD>
<WORD coords="2322,1484,2621,1409,1463">producto</WORD>
</LINE>
<LINE>
<WORD coords="261,1584,342,1527,1583">de</WORD>
<WORD coords="398,1580,453,1525,1580">d«</WORD>
<WORD coords="484,1579,509,1546,1579">s</WORD>
<WORD coords="562,1578,831,1522,1576">factores</WORD>
<WORD coords="883,1577,916,1532,1577">2</WORD>
<WORD coords="953,1588,1022,1524,1588">X</WORD>
<WORD coords="1048,1574,1082,1526,1574">ó</WORD>
<WORD coords="1115,1592,1133,1564,1584">»</WORD>
<WORD coords="1183,1576,1335,1520,1575">tales</WORD>
<WORD coords="1384,1594,1502,1539,1575">que</WORD>
<WORD coords="1557,1574,1608,1522,1572">el</WORD>
<WORD coords="1651,1575,1771,1537,1572">uno</WORD>
<WORD coords="1831,1573,1893,1537,1572">se</WORD>
<WORD coords="1941,1571,2099,1516,1570">halle</WORD>
<WORD coords="2153,1571,2224,1537,1571">en</WORD>
<WORD coords="2282,1572,2338,1521,1571">el</WORD>
<WORD coords="2400,1588,2628,1515,1570">primer</WORD>
</LINE>
<LINE>
<WORD coords="264,1695,571,1632,1687">miembro</WORD>
<WORD coords="631,1705,666,1650,1694">y</WORD>
<WORD coords="716,1684,771,1630,1683">el</WORD>
<WORD coords="827,1684,970,1641,1682">otro,</WORD>
<WORD coords="1022,1683,1094,1648,1683">en</WORD>
<WORD coords="1156,1685,1209,1631,1683">el</WORD>
<WORD coords="1263,1701,1544,1624,1681">segundo</WORD>
<WORD coords="1575,1692,1588,1670,1686">,</WORD>
<WORD coords="1623,1680,1705,1643,1679">no</WORD>
<WORD coords="1758,1679,1821,1643,1678">se</WORD>
<WORD coords="1876,1677,2131,1623,1676">alterará</WORD>
<WORD coords="2188,1677,2240,1626,1677">la</WORD>
<WORD coords="2273,1677,2560,1621,1675">ecuación</WORD>
<WORD coords="2588,1695,2631,1637,1695">y</WORD>
</LINE>
<LINE>
<WORD coords="270,1796,626,1738,1793">tendremos</WORD>
<WORD coords="684,1790,718,1742,1790">3</WORD>
<WORD coords="780,1814,844,1748,1809">)^</WORD>
<WORD coords="911,1804,963,1740,1794">6.</WORD>
<WORD coords="1007,1791,1111,1749,1792">5==</WORD>
<WORD coords="1124,1802,1128,1798,1791">.</WORD>
<WORD coords="1161,1791,1194,1743,1791">2</WORD>
<WORD coords="1365,1804,1443,1736,1793">9;</WORD>
<WORD coords="1478,1809,1516,1753,1798">y</WORD>
<WORD coords="1561,1788,1869,1730,1786">borrando</WORD>
<WORD coords="1917,1786,2187,1728,1784">factores</WORD>
<WORD coords="2230,1786,2527,1744,1782">comunes</WORD>
<WORD coords="2556,1784,2634,1741,1782">ea</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="697,1898,731,1853,1901">2</WORD>
<WORD coords="789,1898,858,1845,1898">K</WORD>
<WORD coords="914,1897,950,1849,1900">6</WORD>
<WORD coords="997,1894,1068,1822,1894">T</WORD>
<WORD coords="1149,1920,1332,1840,1910">X&gt;£</WORD>
<WORD coords="1386,1894,1453,1821,1861">¿~</WORD>
</LINE>
<LINE>
<WORD coords="277,1986,427,1926,1985">Cada</WORD>
<WORD coords="502,1982,803,1925,1981">miembro</WORD>
<WORD coords="901,1983,1197,1924,1979">resultara</WORD>
<WORD coords="1259,1978,1291,1931,1976">3</WORD>
<WORD coords="1334,1974,1445,1934,1974">=</WORD>
<WORD coords="1505,1977,1541,1926,1977">9</WORD>
<WORD coords="1575,1991,1589,1966,1991">,</WORD>
<WORD coords="1637,1998,1756,1940,1978">que</WORD>
<WORD coords="1807,1997,2057,1930,1976">puestos</WORD>
<WORD coords="2114,1975,2188,1936,1974">en</WORD>
<WORD coords="2249,1994,2639,1910,1969">proporción,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="931,2099,964,2003,2057">&apos;&quot;,</WORD>
<WORD coords="1258,2086,1293,2037,2086">2</WORD>
<WORD coords="1501,2084,1539,2033,2084">6</WORD>
</LINE>
<LINE>
<WORD coords="245,2173,395,2111,2170">&apos;dan</WORD>
<WORD coords="460,2170,543,2121,2170">3:</WORD>
<WORD coords="592,2175,634,2122,2171">.2</WORD>
<WORD coords="682,2170,722,2133,2169">::</WORD>
<WORD coords="780,2168,818,2116,2168">9</WORD>
<WORD coords="852,2170,866,2137,2169">:</WORD>
<WORD coords="896,2168,951,2116,2168">6.</WORD>
<WORD coords="1045,2168,1109,2111,2167">Si</WORD>
<WORD coords="1156,2168,1608,2110,2166">dividiéramos</WORD>
<WORD coords="1665,2166,1813,2111,2165">cada</WORD>
<WORD coords="1877,2166,2178,2109,2165">miembro</WORD>
<WORD coords="2234,2179,2343,2126,2162">por</WORD>
<WORD coords="2396,2164,2453,2106,2162">el</WORD>
<WORD coords="2500,2175,2640,2125,2162">pro-</WORD>
</LINE>
<LINE>
<WORD coords="271,2283,461,2223,2280">ducto</WORD>
<WORD coords="516,2279,593,2223,2279">de</WORD>
<WORD coords="647,2279,739,2223,2278">los</WORD>
<WORD coords="798,2278,966,2233,2277">otros</WORD>
<WORD coords="1022,2276,1290,2219,2275">factores</WORD>
<WORD coords="1350,2273,1384,2224,2273">3</WORD>
<WORD coords="1437,2294,1478,2238,2292">y</WORD>
<WORD coords="1523,2290,1614,2222,2278">9,</WORD>
<WORD coords="1673,2273,1834,2217,2272">seria</WORD>
<WORD coords="1888,2274,1944,2219,2273">la</WORD>
<WORD coords="2028,2274,2325,2215,2272">ecuación</WORD>
<WORD coords="2409,2268,2441,2220,2268">3</WORD>
<WORD coords="2494,2270,2638,2209,2270">X6</WORD>
</LINE>
<LINE>
<WORD coords="858,2383,1012,2347,2375">.i</WORD>
<WORD coords="2402,2377,2641,2320,2376">3X9</WORD>
</LINE>
<LINE>
<WORD coords="276,2468,384,2430,2468">r=</WORD>
<WORD coords="434,2470,469,2424,2469">2</WORD>
<WORD coords="526,2469,591,2411,2469">X</WORD>
<WORD coords="636,2466,672,2416,2466">9</WORD>
<WORD coords="706,2480,722,2456,2480">,</WORD>
<WORD coords="779,2483,817,2431,2483">y</WORD>
<WORD coords="860,2483,1290,2407,2465">suprimiendo</WORD>
<WORD coords="1343,2466,1610,2407,2464">fictores</WORD>
<WORD coords="1669,2469,1966,2425,2464">comunes</WORD>
<WORD coords="2000,2477,2017,2452,2470">,</WORD>
<WORD coords="2073,2463,2125,2408,2462">la</WORD>
<WORD coords="2187,2462,2221,2412,2463">6</WORD>
<WORD coords="2252,2463,2354,2422,2463">=s</WORD>
<WORD coords="2396,2462,2429,2414,2463">2</WORD>
<WORD coords="2467,2466,2482,2429,2466">;</WORD>
<WORD coords="2528,2479,2647,2420,2458">que</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="356,2576,473,2507,2556">^3</WORD>
<WORD coords="524,2576,578,2521,2576">X</WORD>
<WORD coords="627,2574,661,2532,2573">y</WORD>
<WORD coords="2176,2568,2213,2518,2570">9</WORD>
<WORD coords="2384,2566,2416,2519,2566">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="275,2679,667,2603,2660">empezando</WORD>
<WORD coords="703,2658,757,2603,2657">la</WORD>
<WORD coords="791,2676,1159,2600,2655">proporción</WORD>
<WORD coords="1194,2667,1302,2618,2654">por</WORD>
<WORD coords="1330,2655,1385,2599,2654">el</WORD>
<WORD coords="1419,2654,1538,2596,2649">2.°</WORD>
<WORD coords="1593,2653,1897,2596,2651">miembro</WORD>
<WORD coords="1919,2669,1935,2641,2661">,</WORD>
<WORD coords="1985,2650,2113,2598,2649">será</WORD>
<WORD coords="2151,2650,2186,2604,2651">2</WORD>
<WORD coords="2219,2652,2231,2619,2652">:</WORD>
<WORD coords="2267,2652,2319,2604,2652">3.</WORD>
<WORD coords="2360,2652,2398,2617,2651">::</WORD>
<WORD coords="2436,2650,2471,2600,2651">6</WORD>
<WORD coords="2515,2651,2529,2619,2652">:</WORD>
<WORD coords="2559,2654,2622,2599,2652">9.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="368,2768,503,2715,2765">163.</WORD>
<WORD coords="603,2763,946,2709,2762">Problema.</WORD>
<WORD coords="1075,2762,1281,2702,2761">Dados</WORD>
<WORD coords="1362,2762,1487,2715,2761">tres</WORD>
<WORD coords="1573,2761,1862,2703,2760">términos</WORD>
<WORD coords="1918,2782,2334,2702,2758">cualesquiera</WORD>
<WORD coords="2397,2758,2466,2703,2757">de</WORD>
<WORD coords="2528,2762,2654,2720,2759">una</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="274,2898,642,2815,2870">proporción</WORD>
<WORD coords="680,2889,699,2855,2889">9</WORD>
<WORD coords="746,2867,946,2813,2866">hallar</WORD>
<WORD coords="1006,2867,1065,2813,2866">el</WORD>
<WORD coords="1121,2867,1179,2819,2867">4.</WORD>
<WORD coords="1210,2848,1247,2817,2848">°</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="530,2976,916,2920,2974">Resorción*</WORD>
<WORD coords="1007,2975,1072,2919,2974">Si</WORD>
<WORD coords="1134,2974,1188,2933,2972">ei</WORD>
<WORD coords="1237,2975,1501,2919,2974">termino</WORD>
<WORD coords="1560,2993,1678,2939,2976">que</WORD>
<WORD coords="1736,2975,1802,2938,2975">se</WORD>
<WORD coords="1859,2976,2050,2917,2973">busca</WORD>
<WORD coords="2116,2972,2153,2918,2972">ó</WORD>
<WORD coords="2215,2972,2267,2917,2971">el</WORD>
<WORD coords="2335,2992,2653,2915,2971">incógnito</WORD>
</LINE>
<LINE>
<WORD coords="288,3086,355,3047,3084">es</WORD>
<WORD coords="406,3084,485,3046,3083">un</WORD>
<WORD coords="530,3081,796,3038,3080">estrenuo</WORD>
<WORD coords="830,3095,847,3069,3095">,</WORD>
<WORD coords="878,3099,1385,3012,3080">mulStipiíqufcnse</WORD>
<WORD coords="1436,3082,1525,3024,3080">los</WORD>
<WORD coords="1575,3081,1688,3027,3080">dos</WORD>
<WORD coords="1751,3081,1990,3026,3080">medios</WORD>
<WORD coords="2032,3100,2070,3042,3090">y</WORD>
<WORD coords="2105,3077,2156,3029,3076">el</WORD>
<WORD coords="2209,3096,2514,3023,3077">product*</WORD>
<WORD coords="2556,3079,2650,3025,3078">di-</WORD>
</LINE>
<LINE>
<WORD coords="289,3189,506,3133,3187">vídase</WORD>
<WORD coords="564,3203,672,3149,3184">por</WORD>
<WORD coords="735,3186,791,3131,3186">el</WORD>
<WORD coords="850,3185,986,3143,3184">otro</WORD>
<WORD coords="1035,3190,1304,3139,3186">estremo</WORD>
<WORD coords="1340,3200,1355,3155,3192">;</WORD>
<WORD coords="1392,3185,1439,3131,3184">si</WORD>
<WORD coords="1501,3185,1556,3131,3185">el</WORD>
<WORD coords="1598,3206,1921,3130,3184">incógnito</WORD>
<WORD coords="1954,3185,2018,3151,3184">es</WORD>
<WORD coords="2072,3186,2151,3150,3186">un</WORD>
<WORD coords="2212,3185,2418,3129,3184">medio</WORD>
<WORD coords="2450,3202,2464,3172,3193">,</WORD>
<WORD coords="2501,3185,2657,3132,3184">mul-</WORD>
</LINE>
<LINE>
<WORD coords="287,3317,659,3242,3296">tipliqúense</WORD>
<WORD coords="696,3296,785,3241,3295">los</WORD>
<WORD coords="829,3297,1128,3254,3295">estremos</WORD>
<WORD coords="1171,3315,1206,3261,3305">y</WORD>
<WORD coords="1241,3295,1292,3242,3294">ei</WORD>
<WORD coords="1331,3310,1629,3239,3294">producto</WORD>
<WORD coords="1662,3295,1949,3238,3294">divídase</WORD>
<WORD coords="1982,3313,2092,3257,3293">por</WORD>
<WORD coords="2139,3295,2196,3240,3294">el</WORD>
<WORD coords="2232,3292,2366,3248,3291">otro</WORD>
<WORD coords="2426,3293,2657,3235,3291">medio»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="541,3426,832,3351,3405">Ejemplo.</WORD>
<WORD coords="941,3406,1281,3348,3403">Llamando</WORD>
<WORD coords="1344,3402,1388,3366,3402">x</WORD>
<WORD coords="1468,3400,1522,3348,3399">el</WORD>
<WORD coords="1579,3402,1844,3347,3400">termino</WORD>
<WORD coords="1903,3421,2219,3345,3399">incógnito</WORD>
<WORD coords="2283,3404,2319,3348,3404">ó</WORD>
<WORD coords="2401,3424,2519,3370,3408">que</WORD>
<WORD coords="2585,3412,2652,3373,3410">se</WORD>
</LINE>
<LINE>
<WORD coords="287,3518,473,3461,3515">busca</WORD>
<WORD coords="512,3532,530,3502,3523">,</WORD>
<WORD coords="582,3515,684,3477,3514">sea</WORD>
<WORD coords="745,3514,799,3459,3513">la</WORD>
<WORD coords="861,3532,1227,3454,3511">proporción</WORD>
<WORD coords="1277,3509,1312,3459,3510">6</WORD>
<WORD coords="1350,3513,1360,3477,3512">:</WORD>
<WORD coords="1415,3508,1451,3457,3509">9</WORD>
<WORD coords="1484,3510,1523,3475,3509">:;</WORD>
<WORD coords="1553,3509,1586,3462,3510">2</WORD>
<WORD coords="1621,3509,1635,3474,3510">:</WORD>
<WORD coords="1668,3509,1711,3473,3509">x</WORD>
<WORD coords="1737,3522,1751,3500,3516">,</WORD>
<WORD coords="1810,3510,1882,3473,3509">en</WORD>
<WORD coords="1943,3508,1999,3453,3507">la</WORD>
<WORD coords="2044,3521,2161,3472,3507">que</WORD>
<WORD coords="2214,3509,2276,3473,3508">se</WORD>
<WORD coords="2365,3512,2478,3454,3511">dan</WORD>
<WORD coords="2532,3515,2657,3470,3514">tres</WORD>
</LINE>
<LINE>
<WORD coords="288,3622,585,3566,3621">términos</WORD>
<WORD coords="636,3621,970,3565,3619">conocidos</WORD>
<WORD coords="1027,3639,1063,3583,3629">y</WORD>
<WORD coords="1124,3619,1187,3583,3617">se</WORD>
<WORD coords="1230,3618,1414,3563,3616">busca</WORD>
<WORD coords="1474,3614,1525,3561,3614">el</WORD>
<WORD coords="1585,3616,1798,3571,3615">cuarto</WORD>
<WORD coords="1833,3631,1849,3603,3631">,</WORD>
<WORD coords="1904,3634,2021,3579,3614">que</WORD>
<WORD coords="2098,3614,2160,3578,3613">es</WORD>
<WORD coords="2223,3617,2302,3580,3616">un</WORD>
<WORD coords="2360,3620,2647,3575,3617">estremo.</WORD>
</LINE>
<LINE>
<WORD coords="282,3740,652,3671,3727">Multiplico</WORD>
<WORD coords="703,3727,872,3683,3726">entre</WORD>
<WORD coords="925,3726,978,3671,3726">sí</WORD>
<WORD coords="1031,3726,1122,3672,3725">los</WORD>
<WORD coords="1184,3725,1420,3668,3723">medios</WORD>
<WORD coords="1455,3722,1489,3671,3723">9</WORD>
<WORD coords="1523,3741,1559,3687,3732">y</WORD>
<WORD coords="1604,3723,1638,3676,3723">2</WORD>
<WORD coords="1683,3741,1719,3688,3732">y</WORD>
<WORD coords="1756,3722,1809,3670,3721">el</WORD>
<WORD coords="1866,3736,2171,3662,3722">producto</WORD>
<WORD coords="2212,3724,2403,3666,3723">9X2</WORD>
<WORD coords="2440,3722,2653,3669,3720">divido</WORD>
</LINE>
<LINE>
<WORD coords="284,3853,393,3796,3831">por</WORD>
<WORD coords="480,3834,532,3779,3833">el</WORD>
<WORD coords="589,3837,726,3791,3834">otro</WORD>
<WORD coords="811,3833,1082,3788,3832">estremo</WORD>
<WORD coords="1182,3830,1218,3779,3830">6</WORD>
<WORD coords="1255,3848,1269,3820,3839">,</WORD>
<WORD coords="1319,3830,1375,3775,3830">lo</WORD>
<WORD coords="1426,3849,1546,3793,3831">que</WORD>
<WORD coords="1632,3832,1710,3773,3831">da</WORD>
<WORD coords="1767,3831,1810,3791,3831">X</WORD>
<WORD coords="1846,3826,1949,3789,3828">=</WORD>
<WORD coords="2000,3849,2240,3777,3834">9^2</WORD>
<WORD coords="2299,3816,2401,3802,3823">—</WORD>
<WORD coords="2433,3826,2461,3780,3828">3</WORD>
<WORD coords="2497,3842,2512,3816,3836">,</WORD>
<WORD coords="2540,3828,2657,3788,3827">ter*</WORD>
</LINE>
<LINE>
<WORD coords="290,3946,464,3883,3939">jpaino</WORD>
<WORD coords="524,3953,775,3883,3937">pedido.</WORD>
<WORD coords="2132,3938,2169,3889,3938">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="533,4049,630,3989,4047">JÜe</WORD>
<WORD coords="640,4048,1025,3988,4046">mostración.</WORD>
<WORD coords="1142,4045,1239,3988,4043">£n</WORD>
<WORD coords="1309,4042,1518,3986,4037">virtud</WORD>
<WORD coords="1598,4045,1700,3988,4044">del</WORD>
<WORD coords="1778,4048,2053,3997,4045">teorema</WORD>
<WORD coords="2126,4072,2309,3988,4052">(161)</WORD>
<WORD coords="2372,4045,2656,4000,4043">tenemos</WORD>
</LINE>
<LINE>
<WORD coords="1372,4161,1465,4093,4160">32</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0131.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0132.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0132.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1750,522,1968,430,522">122</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="677,637,718,583,640">6</WORD>
<WORD coords="750,637,806,576,637">X</WORD>
<WORD coords="844,638,888,599,638">x</WORD>
<WORD coords="943,634,1049,596,639">=</WORD>
<WORD coords="1079,637,1115,586,640">9</WORD>
<WORD coords="1168,674,1244,585,659">¡¡¡Jj</WORD>
<WORD coords="1310,641,1345,592,642">2</WORD>
<WORD coords="1379,648,1397,624,646">,</WORD>
<WORD coords="1446,641,1496,582,641">sí</WORD>
<WORD coords="1560,639,1904,583,638">dividimos</WORD>
<WORD coords="1984,645,2196,587,642">ambos</WORD>
<WORD coords="2263,649,2614,581,646">miembros*</WORD>
<WORD coords="2647,668,2759,611,649">por</WORD>
<WORD coords="2812,652,2866,596,651">el</WORD>
<WORD coords="2920,652,3049,593,651">fie*</WORD>
</LINE>
<LINE>
<WORD coords="676,746,776,696,742">ter</WORD>
<WORD coords="814,744,852,692,746">6</WORD>
<WORD coords="912,744,989,709,743">no</WORD>
<WORD coords="1043,746,1108,709,745">se</WORD>
<WORD coords="1166,748,1425,691,747">alterará</WORD>
<WORD coords="1478,747,1534,694,746">la</WORD>
<WORD coords="1587,748,1885,690,746">ecuación</WORD>
<WORD coords="1921,770,1946,695,760">(</WORD>
<WORD coords="1978,750,2096,694,748">Ax.</WORD>
<WORD coords="2134,751,2188,698,749">6,</WORD>
<WORD coords="2218,728,2253,698,728">Q</WORD>
<WORD coords="2281,772,2309,694,764">)</WORD>
<WORD coords="2343,772,2378,716,764">y</WORD>
<WORD coords="2417,756,2774,697,753">tendremos</WORD>
<WORD coords="2817,756,2855,704,756">6</WORD>
<WORD coords="2887,757,2942,699,757">X</WORD>
<WORD coords="3002,758,3048,720,758">x</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="670,930,780,886,929">SS</WORD>
<WORD coords="834,933,873,881,936">9</WORD>
<WORD coords="932,954,1001,883,954">X</WORD>
<WORD coords="1076,948,1158,887,943">2;</WORD>
<WORD coords="1203,957,1245,899,957">y</WORD>
<WORD coords="1318,960,1746,880,936">suprimiendo</WORD>
<WORD coords="1813,938,1870,884,938">el</WORD>
<WORD coords="1905,900,1913,879,900">1</WORD>
<WORD coords="1935,940,2135,880,939">factor</WORD>
<WORD coords="2192,942,2417,902,940">común</WORD>
<WORD coords="2465,940,2504,888,940">6</WORD>
<WORD coords="2560,943,2633,904,942">en</WORD>
<WORD coords="2697,943,2754,886,942">el</WORD>
<WORD coords="2814,963,3045,888,942">primer</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="677,1125,987,1065,1123">miembro</WORD>
<WORD coords="1018,1142,1037,1111,1135">,</WORD>
<WORD coords="1113,1127,1249,1087,1124">sera</WORD>
<WORD coords="1294,1127,1339,1089,1127">x</WORD>
<WORD coords="1394,1119,1490,1079,1119">s=</WORD>
<WORD coords="1539,1127,1574,1075,1128">9</WORD>
<WORD coords="1629,1129,1694,1068,1129">X</WORD>
<WORD coords="1752,1144,1840,1081,1138">2;</WORD>
<WORD coords="1899,1150,2083,1073,1129">luego</WORD>
<WORD coords="2142,1130,2197,1072,1129">el</WORD>
<WORD coords="2257,1149,2564,1073,1129">producto</WORD>
<WORD coords="2622,1132,2700,1074,1132">de</WORD>
<WORD coords="2762,1133,2855,1075,1132">los</WORD>
<WORD coords="2909,1135,3038,1095,1134">me»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="668,1313,808,1254,1312">dios</WORD>
<WORD coords="864,1314,901,1261,1316">9</WORD>
<WORD coords="949,1335,986,1279,1327">y</WORD>
<WORD coords="1036,1316,1072,1267,1317">2</WORD>
<WORD coords="1127,1317,1190,1280,1316">se</WORD>
<WORD coords="1251,1320,1408,1262,1319">debe</WORD>
<WORD coords="1454,1339,1645,1261,1317">partir</WORD>
<WORD coords="1697,1343,1811,1280,1318">por</WORD>
<WORD coords="1865,1320,1921,1261,1319">el</WORD>
<WORD coords="1974,1322,2053,1280,1320">un</WORD>
<WORD coords="2113,1320,2385,1273,1319">estremo</WORD>
<WORD coords="2440,1319,2478,1265,1319">6</WORD>
<WORD coords="2538,1338,2676,1279,1317">para</WORD>
<WORD coords="2728,1325,2927,1262,1321">hallar</WORD>
<WORD coords="2979,1324,3039,1266,1323">el</WORD>
</LINE>
<LINE>
<WORD coords="665,1423,803,1376,1422">otro</WORD>
<WORD coords="850,1425,930,1385,1425">x.</WORD>
<WORD coords="1000,1423,1052,1367,1423">L</WORD>
<WORD coords="1145,1439,1225,1370,1430">Q,</WORD>
<WORD coords="1292,1427,1373,1371,1427">D.</WORD>
<WORD coords="1441,1429,1524,1374,1427">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="919,1529,981,1473,1529">Si</WORD>
<WORD coords="1041,1529,1094,1477,1529">el</WORD>
<WORD coords="1154,1533,1426,1477,1531">termino</WORD>
<WORD coords="1485,1555,1804,1477,1533">incógnito</WORD>
<WORD coords="1856,1535,1922,1497,1534">es</WORD>
<WORD coords="1969,1536,2049,1496,1535">un</WORD>
<WORD coords="2101,1544,2360,1475,1533">medio.,</WORD>
<WORD coords="2388,1530,2523,1493,1528">sera</WORD>
<WORD coords="2592,1531,2648,1493,1531">v.</WORD>
<WORD coords="2692,1555,2736,1497,1545">g</WORD>
<WORD coords="2812,1535,2866,1476,1534">la</WORD>
<WORD coords="2902,1549,3039,1498,1536">pro-</WORD>
</LINE>
<LINE>
<WORD coords="663,1654,915,1578,1634">porción</WORD>
<WORD coords="964,1635,1000,1601,1635">o</WORD>
<WORD coords="1028,1639,1042,1603,1639">:</WORD>
<WORD coords="1119,1644,1246,1601,1640">xix</WORD>
<WORD coords="1301,1639,1336,1590,1639">2</WORD>
<WORD coords="1382,1641,1398,1625,1639">•</WORD>
<WORD coords="1450,1638,1483,1589,1638">3</WORD>
<WORD coords="1517,1654,1535,1628,1647">,</WORD>
<WORD coords="1590,1640,1666,1583,1639">de</WORD>
<WORD coords="1729,1641,1934,1584,1640">donde</WORD>
<WORD coords="1993,1641,2117,1586,1640">sale</WORD>
<WORD coords="2177,1639,2212,1592,1639">2</WORD>
<WORD coords="2270,1645,2341,1560,1645">¿f</WORD>
<WORD coords="2388,1639,2433,1600,1639">#</WORD>
<WORD coords="2483,1642,2582,1605,1640">===</WORD>
<WORD coords="2637,1638,2672,1586,1638">6</WORD>
<WORD coords="2726,1656,2795,1587,1656">X</WORD>
<WORD coords="2847,1656,2937,1590,1646">3;</WORD>
<WORD coords="2990,1643,3043,1583,1642">si</WORD>
</LINE>
<LINE>
<WORD coords="663,1742,1013,1685,1741">dividimos</WORD>
<WORD coords="1065,1744,1278,1687,1743">ambos</WORD>
<WORD coords="1331,1746,1669,1689,1744">miembros</WORD>
<WORD coords="1739,1763,1849,1708,1744">por</WORD>
<WORD coords="1911,1745,1964,1691,1744">el</WORD>
<WORD coords="2027,1750,2232,1688,1745">factor,</WORD>
<WORD coords="2273,1746,2308,1699,1746">2</WORD>
<WORD coords="2345,1764,2361,1731,1764">,</WORD>
<WORD coords="2420,1766,2464,1711,1755">y.</WORD>
<WORD coords="2513,1746,2569,1697,1746">lo</WORD>
<WORD coords="2629,1764,3042,1688,1745">suprimimos</WORD>
</LINE>
<LINE>
<WORD coords="655,1848,731,1809,1847">en</WORD>
<WORD coords="806,1849,862,1792,1848">el</WORD>
<WORD coords="922,1868,1151,1791,1849">primer</WORD>
<WORD coords="1197,1855,1502,1791,1851">miembro</WORD>
<WORD coords="1535,1869,1551,1839,1861">,</WORD>
<WORD coords="1597,1853,1893,1798,1851">resultará</WORD>
<WORD coords="1947,1851,1989,1814,1851">x</WORD>
<WORD coords="2021,1855,2117,1814,1852">sss</WORD>
<WORD coords="2178,1900,2230,1800,1870">6|</WORD>
<WORD coords="2260,1861,2337,1799,1848">■&gt;&lt;</WORD>
<WORD coords="2389,1850,2421,1800,1850">S</WORD>
<WORD coords="2452,1864,2467,1818,1864">;</WORD>
<WORD coords="2519,1871,2702,1796,1851">luego</WORD>
<WORD coords="2760,1869,2901,1814,1850">para</WORD>
<WORD coords="2934,1850,3039,1793,1848">ha-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1593,1928,1596,1922,1936">•</WORD>
<WORD coords="2108,1958,2117,1940,1958">;</WORD>
<WORD coords="2140,1952,2146,1945,1951">,</WORD>
<WORD coords="2166,1950,2181,1938,1946">..</WORD>
<WORD coords="2200,1955,2208,1883,1949">j</WORD>
<WORD coords="2224,1939,2256,1901,1939">h</WORD>
<WORD coords="2285,1897,2286,1883,1920">&apos;</WORD>
<WORD coords="2306,1957,2344,1910,1957">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="658,2036,771,1977,2035">llar</WORD>
<WORD coords="805,2037,861,1981,2037">el</WORD>
<WORD coords="932,2040,1141,1981,2039">medio</WORD>
<WORD coords="1187,2052,1275,2001,2040">a?,</WORD>
<WORD coords="1333,2041,1398,2002,2040">se</WORD>
<WORD coords="1451,2058,1905,1984,2040">multiplicaran</WORD>
<WORD coords="1961,2041,2052,1984,2040">los</WORD>
<WORD coords="2113,2042,2417,1968,2040">estriemos</WORD>
<WORD coords="2441,2055,2459,2026,2055">,</WORD>
<WORD coords="2515,2067,2554,2001,2054">y</WORD>
<WORD coords="2613,2041,2669,1982,2039">el</WORD>
<WORD coords="2731,2060,3031,1983,2040">producto</WORD>
</LINE>
<LINE>
<WORD coords="655,2146,722,2106,2145">se</WORD>
<WORD coords="772,2166,998,2090,2145">partirá</WORD>
<WORD coords="1046,2166,1156,2110,2148">por</WORD>
<WORD coords="1209,2148,1264,2093,2147">el</WORD>
<WORD coords="1307,2149,1443,2103,2148">otro</WORD>
<WORD coords="1504,2148,1714,2093,2147">medio</WORD>
<WORD coords="1763,2149,1825,2101,2148">2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="779,2254,915,2201,2253">164.</WORD>
<WORD coords="1050,2255,1407,2199,2254">Problema.</WORD>
<WORD coords="1524,2256,1736,2198,2254">Dados</WORD>
<WORD coords="1810,2254,1914,2198,2254">dos</WORD>
<WORD coords="1977,2254,2266,2197,2253">terminas</WORD>
<WORD coords="2299,2269,2315,2239,2262">,</WORD>
<WORD coords="2373,2256,2577,2195,2253">hallar</WORD>
<WORD coords="2651,2252,2708,2196,2252">el</WORD>
<WORD coords="2788,2253,2973,2205,2251">tercer</WORD>
<WORD coords="2989,2254,3020,2211,0">$</WORD>
</LINE>
<LINE>
<WORD coords="645,2364,932,2306,2361">continuo</WORD>
<WORD coords="978,2383,1437,2305,2359">proporcional*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="895,2468,1275,2411,2466">Resolución,</WORD>
<WORD coords="1373,2470,1690,2409,2467">Cuádrese</WORD>
<WORD coords="1744,2468,1797,2410,2466">el</WORD>
<WORD coords="1856,2487,2136,2412,2466">segundo</WORD>
<WORD coords="2196,2466,2461,2409,2464">termino</WORD>
<WORD coords="2507,2486,2547,2430,2476">y</WORD>
<WORD coords="2595,2467,2647,2411,2466">el</WORD>
<WORD coords="2708,2464,3026,2406,2461">cuadrado</WORD>
</LINE>
<LINE>
<WORD coords="649,2578,943,2514,2572">divídase</WORD>
<WORD coords="994,2591,1100,2533,2572">por</WORD>
<WORD coords="1166,2572,1220,2519,2571">el</WORD>
<WORD coords="1285,2590,1575,2518,2572">primero.</WORD>
<WORD coords="1667,2595,1962,2517,2572">Ejemplo.</WORD>
<WORD coords="2037,2573,2128,2519,2572">En</WORD>
<WORD coords="2186,2572,2239,2519,2572">la</WORD>
<WORD coords="2302,2591,2670,2517,2571">proporción</WORD>
<WORD coords="2731,2571,3026,2512,2568">enmínua</WORD>
</LINE>
<LINE>
<WORD coords="649,2700,716,2628,2699">•ff</WORD>
<WORD coords="788,2679,820,2630,2679">8</WORD>
<WORD coords="881,2686,898,2648,2683">;</WORD>
<WORD coords="959,2680,998,2631,2680">4</WORD>
<WORD coords="1058,2684,1072,2646,2682">;</WORD>
<WORD coords="1133,2681,1177,2642,2681">#</WORD>
<WORD coords="1204,2692,1219,2668,2687">,</WORD>
<WORD coords="1286,2682,1526,2623,2679">hállese,</WORD>
<WORD coords="1584,2679,1637,2627,2679">el</WORD>
<WORD coords="1698,2680,1894,2638,2679">tercer</WORD>
<WORD coords="1960,2679,2223,2625,2677">termino</WORD>
<WORD coords="2260,2690,2274,2646,2684">;</WORD>
<WORD coords="2348,2679,2645,2622,2676">cuadrare</WORD>
<WORD coords="2708,2676,2760,2625,2675">el</WORD>
<WORD coords="2825,2675,2863,2628,2677">4</WORD>
<WORD coords="2899,2688,2913,2664,2683">,</WORD>
<WORD coords="2961,2674,3020,2615,2673">el</WORD>
</LINE>
<LINE>
<WORD coords="644,2786,964,2729,2784">cuadrado</WORD>
<WORD coords="1028,2786,1100,2736,2786">16</WORD>
<WORD coords="1158,2788,1379,2731,2785">divido</WORD>
<WORD coords="1442,2804,1552,2750,2785">por</WORD>
<WORD coords="1611,2787,1644,2739,2787">8</WORD>
<WORD coords="1676,2803,1692,2775,2803">,</WORD>
<WORD coords="1737,2806,1774,2752,2796">y</WORD>
<WORD coords="1836,2787,1890,2734,2786">el</WORD>
<WORD coords="1948,2786,2224,2731,2785">cociente</WORD>
<WORD coords="2291,2785,2326,2739,2785">2</WORD>
<WORD coords="2373,2785,2434,2749,2785">es</WORD>
<WORD coords="2484,2786,2536,2729,2784">el</WORD>
<WORD coords="2595,2785,2862,2729,2782">termino</WORD>
<WORD coords="2910,2798,3014,2742,2782">pe-</WORD>
</LINE>
<LINE>
<WORD coords="644,2893,795,2836,2892">dido</WORD>
<WORD coords="820,2909,838,2880,2909">,</WORD>
<WORD coords="887,2913,924,2857,2903">y</WORD>
<WORD coords="979,2894,1113,2857,2893">sera</WORD>
<WORD coords="1180,2881,1244,2869,2886">~-</WORD>
<WORD coords="1301,2895,1602,2845,2893">8:4:2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="896,3003,1395,2945,2999">Demostración*</WORD>
<WORD coords="1496,2999,1618,2945,2998">Por</WORD>
<WORD coords="1683,2999,1734,2943,2999">el</WORD>
<WORD coords="1792,3000,2071,2954,2998">teorema</WORD>
<WORD coords="2107,3022,2289,2942,3005">(161)</WORD>
<WORD coords="2321,2998,2597,2954,2995">tenemos</WORD>
<WORD coords="2656,3003,2770,2959,2993">que</WORD>
<WORD coords="2819,2994,2850,2948,2995">8</WORD>
<WORD coords="2888,2995,2940,2938,2995">X</WORD>
<WORD coords="2973,2996,3018,2953,2996">#</WORD>
</LINE>
<LINE>
<WORD coords="640,3104,737,3066,3104">s==</WORD>
<WORD coords="793,3124,859,3054,3115">4^</WORD>
<WORD coords="895,3124,910,3076,3124">;</WORD>
<WORD coords="956,3127,1280,3052,3105">partiendo</WORD>
<WORD coords="1346,3107,1559,3051,3105">ambos</WORD>
<WORD coords="1618,3107,1961,3051,3105">miembros</WORD>
<WORD coords="2021,3122,2128,3069,3104">por</WORD>
<WORD coords="2191,3117,2273,3060,3112">8,</WORD>
<WORD coords="2303,3126,2339,3070,3124">y</WORD>
<WORD coords="2390,3122,2818,3046,3102">suprimiendo</WORD>
<WORD coords="2888,3104,3019,3045,3102">fac-</WORD>
</LINE>
<LINE>
<WORD coords="642,3213,808,3170,3212">twicb</WORD>
<WORD coords="853,3232,1197,3178,3213">comunes,</WORD>
<WORD coords="1242,3214,1376,3176,3213">sera</WORD>
<WORD coords="1432,3214,1477,3177,3214">x</WORD>
<WORD coords="1502,3209,1608,3171,3209">===</WORD>
<WORD coords="1680,3223,1789,3160,3213">42,</WORD>
<WORD coords="1845,3213,1918,3159,3212">L.</WORD>
<WORD coords="1968,3225,2047,3156,3215">Q.</WORD>
<WORD coords="2104,3212,2182,3158,3211">D.</WORD>
<WORD coords="2238,3215,2320,3157,3212">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1686,3320,1722,3270,3320">8</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="727,3427,865,3374,3425">165.</WORD>
<WORD coords="964,3427,1315,3370,3425">Problema.</WORD>
<WORD coords="1416,3428,1629,3370,3426">Dados</WORD>
<WORD coords="1687,3427,1792,3370,3426">dos</WORD>
<WORD coords="1867,3425,2146,3386,3422">números</WORD>
<WORD coords="2178,3437,2193,3412,3430">,</WORD>
<WORD coords="2264,3423,2679,3365,3420">encontrarles</WORD>
<WORD coords="2751,3419,2832,3380,3418">un</WORD>
<WORD coords="2894,3418,3011,3378,3417">me-</WORD>
</LINE>
<LINE>
<WORD coords="640,3535,738,3475,3533">dio</WORD>
<WORD coords="790,3532,1069,3479,3531">continuo</WORD>
<WORD coords="1110,3554,1564,3478,3530">proporcional,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="891,3638,1270,3582,3636">Resolución.</WORD>
<WORD coords="1365,3656,1889,3582,3636">Multipliqúense</WORD>
<WORD coords="1970,3632,2061,3578,3631">los</WORD>
<WORD coords="2137,3633,2426,3595,3629">números</WORD>
<WORD coords="2499,3631,2692,3575,3629">dados</WORD>
<WORD coords="2727,3635,2741,3614,3635">,</WORD>
<WORD coords="2809,3650,2850,3594,3639">y</WORD>
<WORD coords="2905,3628,3010,3571,3627">del</WORD>
</LINE>
<LINE>
<WORD coords="633,3766,939,3687,3741">producto</WORD>
<WORD coords="998,3764,1349,3700,3741">estraygase</WORD>
<WORD coords="1397,3743,1446,3694,3742">la</WORD>
<WORD coords="1494,3744,1627,3688,3742">raíz</WORD>
<WORD coords="1689,3743,1997,3687,3741">cuadrada</WORD>
<WORD coords="2031,3740,2233,3685,3738">ésacta</WORD>
<WORD coords="2295,3736,2331,3683,3737">ó</WORD>
<WORD coords="2367,3754,2548,3700,3734">aproe</WORD>
<WORD coords="2589,3737,2793,3682,3735">imada</WORD>
<WORD coords="2829,3751,2845,3723,3751">,</WORD>
<WORD coords="2880,3751,2998,3697,3734">que</WORD>
</LINE>
<LINE>
<WORD coords="633,3853,768,3814,3850">sera</WORD>
<WORD coords="830,3849,887,3798,3849">el</WORD>
<WORD coords="950,3849,1156,3793,3848">medio</WORD>
<WORD coords="1210,3868,1461,3795,3849">pedido.</WORD>
<WORD coords="1516,3871,1806,3796,3848">Ejemplo,</WORD>
<WORD coords="1854,3849,1969,3794,3847">Sea</WORD>
<WORD coords="2031,3846,2084,3792,3846">la</WORD>
<WORD coords="2144,3864,2511,3788,3842">proporción</WORD>
<WORD coords="2579,3830,2634,3816,3838">~</WORD>
<WORD coords="2661,3841,2698,3793,3843">3</WORD>
<WORD coords="2734,3842,2748,3806,3844">:</WORD>
<WORD coords="2777,3841,2821,3804,3841">x</WORD>
<WORD coords="2841,3841,2866,3795,3835">•£</WORD>
<WORD coords="2909,3839,2979,3791,3839">Í2</WORD>
<WORD coords="2987,3855,3007,3825,3855">t</WORD>
</LINE>
<LINE>
<WORD coords="631,3962,706,3922,3960">en</WORD>
<WORD coords="767,3975,885,3921,3956">que</WORD>
<WORD coords="938,3954,1001,3920,3953">se</WORD>
<WORD coords="1055,3954,1208,3913,3953">trata</WORD>
<WORD coords="1270,3956,1343,3903,3955">de</WORD>
<WORD coords="1396,3956,1590,3902,3954">hallar</WORD>
<WORD coords="1651,3955,1704,3902,3954">el</WORD>
<WORD coords="1762,3954,1968,3900,3952">medio</WORD>
<WORD coords="2011,3954,2054,3917,3954">x</WORD>
<WORD coords="2084,3952,2095,3921,3952">:</WORD>
<WORD coords="2152,3969,2571,3891,3948">multiplicaré</WORD>
<WORD coords="2657,3945,2688,3898,3949">3</WORD>
<WORD coords="2747,3959,2853,3910,3943">por</WORD>
<WORD coords="2900,3954,3002,3891,3944">I2#</WORD>
<WORD coords="3028,3926,3034,3920,3926">-</WORD>
</LINE>
<LINE>
<WORD coords="633,4087,756,4028,4066">que</WORD>
<WORD coords="811,4066,890,4009,4065">da</WORD>
<WORD coords="962,4063,1040,4012,4062">36</WORD>
<WORD coords="1073,4082,1090,4050,4082">f</WORD>
<WORD coords="1145,4086,1302,4026,4063">cuya</WORD>
<WORD coords="1357,4066,1494,4002,4065">ráiz</WORD>
<WORD coords="1545,4065,1860,4008,4063">cuadrada</WORD>
<WORD coords="1915,4062,1978,4025,4061">es</WORD>
<WORD coords="2035,4060,2071,4008,4060">6</WORD>
<WORD coords="2098,4079,2115,4045,4079">,</WORD>
<WORD coords="2168,4079,2204,4020,4070">y</WORD>
<WORD coords="2270,4058,2484,4000,4056">tendré</WORD>
<WORD coords="2550,4041,2606,4028,4046">-~</WORD>
<WORD coords="2663,4051,2694,4002,4056">§</WORD>
<WORD coords="2732,4053,2744,4016,4057">:</WORD>
<WORD coords="2782,4051,2818,4000,4056">6</WORD>
<WORD coords="2855,4054,2871,4017,4057">:</WORD>
<WORD coords="2906,4076,3001,4003,4059">12;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0132.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0133.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0133.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1286,544,1510,452,543">123</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="404,662,674,600,654">Demosf.</WORD>
<WORD coords="721,658,948,600,654">Puesto</WORD>
<WORD coords="996,671,1113,619,657">que</WORD>
<WORD coords="1172,657,1224,604,657">el</WORD>
<WORD coords="1279,678,1594,609,664">producto*</WORD>
<WORD coords="1609,667,1686,606,667">da</WORD>
<WORD coords="1740,665,1831,605,663">los</WORD>
<WORD coords="1856,669,2160,617,665">estrenóos</WORD>
<WORD coords="2288,692,2602,611,676">Io&gt;mÍ8ajp</WORD>
</LINE>
<LINE>
<WORD coords="236,784,356,725,762">que</WORD>
<WORD coords="403,762,457,709,761">el</WORD>
<WORD coords="513,765,826,711,761">cuadrado</WORD>
<WORD coords="875,768,973,707,766">del</WORD>
<WORD coords="998,769,1265,710,765">termino</WORD>
<WORD coords="1307,766,1512,714,765">medio</WORD>
<WORD coords="1549,783,1578,759,783">r</WORD>
<WORD coords="1598,783,1737,735,768">para</WORD>
<WORD coords="1798,775,1989,711,772">hallar</WORD>
<WORD coords="2049,778,2172,729,774">eate</WORD>
<WORD coords="2236,798,2350,740,781">que</WORD>
<WORD coords="2426,787,2485,748,786">ea</WORD>
<WORD coords="2553,789,2598,751,789">w</WORD>
</LINE>
<LINE>
<WORD coords="233,872,361,818,870">?ais</WORD>
<WORD coords="398,886,412,860,881">,</WORD>
<WORD coords="442,871,578,833,868">sera</WORD>
<WORD coords="637,876,953,814,872">necesario</WORD>
<WORD coords="1011,869,1064,834,869">e-</WORD>
<WORD coords="1083,870,1133,830,869">tr</WORD>
<WORD coords="1178,869,1242,835,869">er</WORD>
<WORD coords="1273,873,1329,816,872">la</WORD>
<WORD coords="1360,877,1375,833,877">i</WORD>
<WORD coords="1433,876,1493,816,876">iz</WORD>
<WORD coords="1557,887,1862,820,879">cuadrada</WORD>
<WORD coords="1916,883,1988,822,882">de</WORD>
<WORD coords="2047,902,2226,821,881">c\ichu</WORD>
<WORD coords="2281,906,2580,836,894">producto</WORD>
</LINE>
<LINE>
<WORD coords="578,982,645,923,982">T&gt;</WORD>
<WORD coords="670,980,764,943,986">un*</WORD>
<WORD coords="765,1001,1183,922,977">formaciones</WORD>
<WORD coords="1242,979,1311,925,977">de</WORD>
<WORD coords="1367,979,1423,924,978">la</WORD>
<WORD coords="1465,1001,1827,930,981">proporción</WORD>
<WORD coords="1877,1009,2267,934,988">geométrica,</WORD>
</LINE>
<LINE>
<WORD coords="325,1088,461,1035,1087">166.</WORD>
<WORD coords="505,1063,519,1045,1076">&apos;</WORD>
<WORD coords="555,1086,848,1036,1084">¿¡¡temar</WORD>
<WORD coords="902,1085,1024,1049,1084">una</WORD>
<WORD coords="1092,1105,1462,1042,1083">proponían</WORD>
<WORD coords="1521,1085,1578,1051,1084">es</WORD>
<WORD coords="1634,1112,1951,1044,1091">comparar</WORD>
<WORD coords="2017,1103,2398,1047,1096">antecedente</WORD>
<WORD coords="2480,1113,2588,1074,1109">con</WORD>
</LINE>
<LINE>
<WORD coords="238,1197,617,1137,1192">antecedente</WORD>
<WORD coords="670,1212,709,1154,1205">y</WORD>
<WORD coords="755,1192,783,1156,1192">c</WORD>
<WORD coords="825,1193,1141,1149,1190">nseeuente</WORD>
<WORD coords="1185,1191,1291,1154,1190">con</WORD>
<WORD coords="1325,1194,1691,1151,1191">comecueai-</WORD>
<WORD coords="1736,1210,1749,1163,1204">;</WORD>
<WORD coords="1788,1193,1813,1162,1193">v</WORD>
<WORD coords="1870,1217,1907,1163,1207">g</WORD>
<WORD coords="1963,1196,2014,1145,1195">la</WORD>
<WORD coords="2072,1220,2429,1153,1206">proporción</WORD>
<WORD coords="2480,1234,2599,1162,1217">pti«</WORD>
</LINE>
<LINE>
<WORD coords="236,1302,457,1245,1297">mitiva</WORD>
<WORD coords="502,1297,538,1247,1299">6</WORD>
<WORD coords="575,1297,588,1264,1299">:</WORD>
<WORD coords="625,1296,661,1246,1298">9</WORD>
<WORD coords="692,1298,727,1264,1299">;:</WORD>
<WORD coords="765,1299,799,1251,1300">2</WORD>
<WORD coords="839,1304,852,1266,1302">;</WORD>
<WORD coords="888,1297,920,1249,1299">3</WORD>
<WORD coords="977,1315,1175,1243,1295">queda</WORD>
<WORD coords="1232,1298,1545,1244,1296">alternada</WORD>
<WORD coords="1601,1300,1676,1247,1300">de</WORD>
<WORD coords="1742,1302,1867,1259,1301">este</WORD>
<WORD coords="1916,1303,2098,1251,1302">modo</WORD>
<WORD coords="2158,1308,2194,1259,1308">6</WORD>
<WORD coords="2231,1316,2242,1284,1316">:</WORD>
<WORD coords="2274,1318,2306,1275,1318">2</WORD>
<WORD coords="2344,1323,2378,1289,1322">::</WORD>
<WORD coords="2415,1325,2448,1278,1318">9</WORD>
<WORD coords="2489,1311,2497,1302,1311">.</WORD>
<WORD coords="2538,1334,2567,1289,1334">3</WORD>
</LINE>
<LINE>
<WORD coords="241,1419,486,1346,1404">Qae&apos;la</WORD>
<WORD coords="546,1422,911,1348,1401">proporción</WORD>
<WORD coords="969,1421,1282,1347,1401">primitiva</WORD>
<WORD coords="1337,1403,1414,1368,1402">no</WORD>
<WORD coords="1470,1406,1531,1370,1406">se</WORD>
<WORD coords="1594,1425,1748,1350,1405">haya</WORD>
<WORD coords="1802,1415,2074,1355,1409">alterado</WORD>
<WORD coords="2128,1415,2190,1381,1414">es</WORD>
<WORD coords="2255,1440,2566,1388,1433">constante</WORD>
</LINE>
<LINE>
<WORD coords="238,1531,475,1474,1509">porque</WORD>
<WORD coords="535,1509,588,1456,1508">el</WORD>
<WORD coords="649,1522,951,1454,1508">producto</WORD>
<WORD coords="997,1510,1074,1454,1509">de</WORD>
<WORD coords="1108,1510,1200,1455,1508">ios</WORD>
<WORD coords="1258,1514,1558,1465,1511">estreñios</WORD>
<WORD coords="1605,1516,1669,1479,1514">es</WORD>
<WORD coords="1724,1536,1887,1461,1516">igual</WORD>
<WORD coords="1935,1520,1985,1469,1519">al</WORD>
<WORD coords="2040,1540,2301,1469,1525">product</WORD>
<WORD coords="2325,1531,2340,1502,1531">&gt;</WORD>
<WORD coords="2393,1541,2466,1484,1539">de</WORD>
<WORD coords="2502,1550,2593,1493,1546">ius</WORD>
</LINE>
<LINE>
<WORD coords="239,1618,480,1560,1615">medios</WORD>
<WORD coords="516,1638,696,1559,1622">[162]</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="492,1720,768,1664,1717">Invttiir</WORD>
<WORD coords="821,1720,881,1684,1719">es</WORD>
<WORD coords="923,1743,1245,1677,1721">comparar</WORD>
<WORD coords="1291,1727,1678,1682,1724">consecuente</WORD>
<WORD coords="1732,1731,1838,1693,1730">con</WORD>
<WORD coords="1894,1739,2275,1682,1734">antecedente</WORD>
<WORD coords="2320,1746,2391,1709,1745">en</WORD>
<WORD coords="2440,1759,2595,1699,1753">cada</WORD>
</LINE>
<LINE>
<WORD coords="237,1830,363,1788,1828">Una</WORD>
<WORD coords="402,1827,472,1770,1826">de</WORD>
<WORD coords="528,1826,617,1773,1825">las</WORD>
<WORD coords="673,1829,929,1791,1826">razones</WORD>
<WORD coords="965,1835,980,1797,1836">;</WORD>
<WORD coords="1039,1830,1126,1794,1829">asi</WORD>
<WORD coords="1176,1831,1233,1776,1831">La</WORD>
<WORD coords="1295,1849,1609,1779,1832">primitiva</WORD>
<WORD coords="1668,1840,1744,1786,1837">6:</WORD>
<WORD coords="1781,1837,1818,1787,1837">9</WORD>
<WORD coords="1856,1840,1893,1807,1839">::</WORD>
<WORD coords="1932,1842,2005,1794,1841">2:</WORD>
<WORD coords="2048,1841,2080,1793,1841">3</WORD>
<WORD coords="2131,1864,2329,1797,1849">queda</WORD>
<WORD coords="2387,1860,2592,1799,1857">inver-</WORD>
</LINE>
<LINE>
<WORD coords="234,1934,366,1879,1933">tida</WORD>
<WORD coords="424,1934,498,1878,1933">de</WORD>
<WORD coords="540,1934,669,1892,1933">esta</WORD>
<WORD coords="720,1934,961,1898,1932">manera</WORD>
<WORD coords="1016,1934,1052,1884,1939">9</WORD>
<WORD coords="1088,1937,1100,1902,1940">:</WORD>
<WORD coords="1137,1936,1172,1884,1940">6</WORD>
<WORD coords="1289,1937,1322,1889,1940">3</WORD>
<WORD coords="1359,1938,1371,1904,1941">:</WORD>
<WORD coords="1409,1939,1441,1894,1941">2</WORD>
<WORD coords="1472,1959,1488,1909,1958">;</WORD>
<WORD coords="1536,1957,1653,1907,1943">que</WORD>
<WORD coords="1696,1945,1827,1905,1944">esto</WORD>
<WORD coords="1867,1958,1943,1910,1947">aq</WORD>
<WORD coords="2005,1954,2170,1896,1950">varíe</WORD>
<WORD coords="2215,1956,2269,1901,1954">la</WORD>
<WORD coords="2330,1982,2587,1924,1962">propor.</WORD>
</LINE>
<LINE>
<WORD coords="235,2042,374,1987,2040">cion</WORD>
<WORD coords="411,2050,514,2006,2040">,se</WORD>
<WORD coords="550,2040,698,1986,2039">hace</WORD>
<WORD coords="758,2058,963,1987,2040">claro,</WORD>
<WORD coords="997,2064,1234,2006,2043">porque</WORD>
<WORD coords="1281,2045,1333,1992,2045">e!</WORD>
<WORD coords="1372,2067,1674,1994,2048">producto</WORD>
<WORD coords="1717,2054,1793,1997,2054">de</WORD>
<WORD coords="1844,2055,1935,2002,2055">los</WORD>
<WORD coords="1990,2065,2289,2017,2060">estremos</WORD>
<WORD coords="2325,2068,2388,2033,2067">es</WORD>
<WORD coords="2422,2092,2592,1976,2074">iguLl</WORD>
</LINE>
<LINE>
<WORD coords="235,2147,291,2093,2146">al</WORD>
<WORD coords="346,2146,424,2092,2146">de</WORD>
<WORD coords="473,2145,563,2091,2144">los</WORD>
<WORD coords="615,2147,878,2091,2145">medios.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="485,2252,803,2199,2250">Permutar</WORD>
<WORD coords="863,2254,985,2217,2253">una</WORD>
<WORD coords="1025,2278,1402,2205,2258">proporción</WORD>
<WORD coords="1449,2265,1510,2228,2264">es</WORD>
<WORD coords="1556,2287,1753,2220,2267">poner</WORD>
<WORD coords="1788,2270,1843,2216,2269">la</WORD>
<WORD coords="1876,2271,1928,2224,2268">2.</WORD>
<WORD coords="1960,2254,1997,2216,2259">«</WORD>
<WORD coords="2047,2280,2239,2236,2276">razón</WORD>
<WORD coords="2277,2301,2394,2236,2282">por</WORD>
<WORD coords="2430,2286,2444,2247,2278">\</WORD>
<WORD coords="2506,2271,2543,2234,2271">»</WORD>
</LINE>
<LINE>
<WORD coords="221,2376,263,2319,2374">y</WORD>
<WORD coords="309,2356,371,2301,2355">al</WORD>
<WORD coords="422,2358,727,2313,2356">contrario</WORD>
<WORD coords="760,2376,779,2328,2374">;</WORD>
<WORD coords="828,2360,913,2306,2359">asi</WORD>
<WORD coords="976,2361,1033,2306,2361">la</WORD>
<WORD coords="1084,2389,1397,2308,2368">primitiva</WORD>
<WORD coords="1468,2371,1505,2321,2372">6</WORD>
<WORD coords="1539,2372,1552,2337,2372">:</WORD>
<WORD coords="1585,2372,1621,2321,2372">9</WORD>
<WORD coords="1656,2379,1697,2341,2376">:;</WORD>
<WORD coords="1732,2376,1766,2328,2376">2</WORD>
<WORD coords="1802,2377,1815,2342,2376">:</WORD>
<WORD coords="1854,2375,1885,2328,2375">3</WORD>
<WORD coords="1948,2399,2302,2341,2385">permutare</WORD>
<WORD coords="2363,2392,2438,2338,2391">de</WORD>
<WORD coords="2488,2396,2586,2284,2396">es!</WORD>
</LINE>
<LINE>
<WORD coords="220,2463,276,2420,2463">U</WORD>
<WORD coords="308,2472,583,2428,2463">manara,</WORD>
<WORD coords="627,2468,658,2421,2474">2</WORD>
<WORD coords="709,2468,723,2433,2474">:</WORD>
<WORD coords="788,2465,820,2418,2473">3</WORD>
<WORD coords="879,2468,891,2434,2474">:</WORD>
<WORD coords="923,2476,939,2438,2476">s</WORD>
<WORD coords="1013,2468,1048,2418,2476">6</WORD>
<WORD coords="1108,2477,1122,2442,2477">:</WORD>
<WORD coords="1177,2478,1238,2421,2478">9.</WORD>
<WORD coords="1336,2477,1535,2421,2476">Como</WORD>
<WORD coords="1591,2500,1956,2430,2482">proporción</WORD>
<WORD coords="2010,2489,2073,2455,2488">es</WORD>
<WORD coords="2133,2513,2424,2436,2494">igualdad</WORD>
<WORD coords="2505,2507,2582,2450,2506">de</WORD>
</LINE>
<LINE>
<WORD coords="221,2571,477,2531,2569">razones</WORD>
<WORD coords="513,2589,528,2561,2589">,</WORD>
<WORD coords="559,2573,637,2536,2572">no</WORD>
<WORD coords="688,2575,753,2539,2575">se</WORD>
<WORD coords="810,2577,998,2521,2575">altera</WORD>
<WORD coords="1061,2579,1187,2524,2578">dier</WORD>
<WORD coords="1212,2579,1237,2546,2579">a</WORD>
<WORD coords="1305,2604,1636,2527,2583">igualdad,</WORD>
<WORD coords="1667,2590,1739,2554,2589">va</WORD>
<WORD coords="1796,2593,1896,2559,2592">sea</WORD>
<WORD coords="1965,2614,2081,2562,2597">que</WORD>
<WORD coords="2136,2601,2250,2564,2600">una</WORD>
<WORD coords="2295,2607,2479,2568,2604">razón</WORD>
<WORD coords="2515,2613,2582,2578,2611">se</WORD>
</LINE>
<LINE>
<WORD coords="215,2697,416,2637,2674">porga</WORD>
<WORD coords="478,2677,504,2626,2685">á</WORD>
<WORD coords="563,2679,659,2623,2678">dei</WORD>
<WORD coords="678,2681,822,2628,2680">echa</WORD>
<WORD coords="859,2683,957,2627,2683">del</WORD>
<WORD coords="1007,2705,1182,2629,2684">signo</WORD>
<WORD coords="1237,2691,1331,2655,2690">===</WORD>
<WORD coords="1365,2697,1375,2689,2694">..</WORD>
<WORD coords="1435,2693,1506,2658,2692">en</WORD>
<WORD coords="1558,2716,1715,2660,2695">cuyo</WORD>
<WORD coords="1771,2720,1941,2646,2697">logar</WORD>
<WORD coords="1980,2706,2151,2661,2704">ebtan</WORD>
<WORD coords="2214,2713,2305,2658,2711">ios</WORD>
<WORD coords="2364,2725,2579,2678,2719">cuatro</WORD>
</LINE>
<LINE>
<WORD coords="217,2803,489,2739,2782">puntos,</WORD>
<WORD coords="547,2804,582,2748,2799">y</WORD>
<WORD coords="648,2785,698,2733,2784">ia</WORD>
<WORD coords="761,2787,890,2744,2785">otra</WORD>
<WORD coords="951,2790,976,2737,2792">á</WORD>
<WORD coords="1050,2812,1426,2737,2794">izquierda,</WORD>
<WORD coords="1485,2799,1520,2744,2799">6</WORD>
<WORD coords="1568,2801,1619,2752,2801">al</WORD>
<WORD coords="1675,2812,2001,2753,2805">contrario.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="707,2897,998,2838,2895">Razones</WORD>
<WORD coords="1058,2922,1100,2862,2922">y</WORD>
<WORD coords="1150,2924,1583,2858,2905">proporciones</WORD>
<WORD coords="1643,2919,2044,2858,2914">aritméticas..</WORD>
</LINE>
<LINE>
<WORD coords="293,2997,428,2945,3000">167.</WORD>
<WORD coords="522,3002,739,2943,2999">Razón</WORD>
<WORD coords="783,3006,1132,2950,3003">aritmética</WORD>
<WORD coords="1189,3008,1246,2974,3008">es</WORD>
<WORD coords="1281,3011,1338,2956,3011">¡a</WORD>
<WORD coords="1386,3036,1804,2969,3016">comparación</WORD>
<WORD coords="1854,3022,1924,2967,3021">de</WORD>
<WORD coords="1972,3023,2075,2972,3022">dos</WORD>
<WORD coords="2125,3036,2403,2967,3030">números</WORD>
<WORD coords="2462,3046,2572,3005,3042">en</WORD>
</LINE>
<LINE>
<WORD coords="173,3104,262,3042,3101">.el</WORD>
<WORD coords="283,3126,390,3048,3118">fin</WORD>
<WORD coords="437,3103,506,3048,3103">de</WORD>
<WORD coords="570,3106,747,3051,3105">saber</WORD>
<WORD coords="799,3109,872,3074,3108">en</WORD>
<WORD coords="917,3114,1134,3068,3111">cuanto</WORD>
<WORD coords="1171,3118,1374,3063,3115">escede</WORD>
<WORD coords="1425,3118,1476,3082,3117">ei</WORD>
<WORD coords="1534,3122,1648,3085,3121">uno</WORD>
<WORD coords="1682,3122,1743,3072,3122">al</WORD>
<WORD coords="1793,3128,1923,3082,3124">otro</WORD>
<WORD coords="1964,3133,1977,3098,3133">¡</WORD>
<WORD coords="2016,3135,2121,3097,3130">por</WORD>
<WORD coords="2171,3168,2449,3085,3143">consígai</WORD>
<WORD coords="2501,3150,2565,3117,3150">n-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="203,3208,261,3166,3208">te</WORD>
<WORD coords="306,3215,380,3173,3212">no</WORD>
<WORD coords="444,3208,505,3176,3208">es</WORD>
<WORD coords="568,3212,695,3175,3210">mas</WORD>
<WORD coords="752,3232,870,3179,3214">que</WORD>
<WORD coords="925,3217,1047,3181,3216">una</WORD>
<WORD coords="1101,3224,1481,3177,3219">sustracción</WORD>
<WORD coords="1523,3231,1802,3174,3226">indicada</WORD>
<WORD coords="1836,3248,1852,3219,3241">,</WORD>
<WORD coords="1906,3234,1991,3183,3233">asi</WORD>
<WORD coords="2048,3236,2108,3206,3236">es</WORD>
<WORD coords="2162,3243,2193,3198,3238">5</WORD>
<WORD coords="2337,3249,2368,3203,3240">2</WORD>
<WORD coords="2411,3232,2418,3224,3232">■</WORD>
<WORD coords="2456,3260,2563,3219,3258">an-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="200,3316,497,3260,3315">tecedtnte</WORD>
<WORD coords="554,3317,614,3284,3317">es</WORD>
<WORD coords="651,3320,704,3266,3319">el</WORD>
<WORD coords="767,3326,1100,3268,3323">minuendo</WORD>
<WORD coords="1154,3343,1237,3283,3335">5,</WORD>
<WORD coords="1284,3336,1671,3289,3333">consecuente</WORD>
<WORD coords="1727,3338,1779,3285,3338">el</WORD>
<WORD coords="1832,3374,2195,3261,3346">susifaeprio</WORD>
<WORD coords="2254,3372,2330,3310,3363">2,</WORD>
<WORD coords="2397,3365,2566,3319,3361">esto-</WORD>
</LINE>
<LINE>
<WORD coords="189,3421,377,3376,3420">-nenie</WORD>
<WORD coords="434,3423,508,3368,3422">de</WORD>
<WORD coords="568,3426,620,3371,3424">ia</WORD>
<WORD coords="676,3431,861,3390,3427">razón</WORD>
<WORD coords="912,3431,961,3378,3430">la</WORD>
<WORD coords="1027,3435,1148,3392,3434">res*</WORD>
<WORD coords="1157,3436,1182,3402,3441">a</WORD>
<WORD coords="1229,3456,1324,3386,3447">3;;,</WORD>
<WORD coords="1356,3441,1408,3387,3440">el</WORD>
<WORD coords="1465,3496,1868,3358,3449">antecedente</WORD>
<WORD coords="1922,3460,1956,3416,3460">y</WORD>
<WORD coords="2019,3469,2422,3344,3461">co»sc¿tí¿te</WORD>
</LINE>
<LINE>
<WORD coords="197,3541,298,3472,3526">los.</WORD>
<WORD coords="345,3533,641,3487,3530">términos</WORD>
<WORD coords="697,3537,773,3480,3535">de</WORD>
<WORD coords="839,3538,891,3483,3537">la</WORD>
<WORD coords="950,3542,1164,3503,3540">razón.</WORD>
<WORD coords="1259,3550,1386,3488,3546">Los</WORD>
<WORD coords="1453,3556,1892,3491,3549">Matemáticos</WORD>
<WORD coords="1954,3561,2067,3505,3560">han</WORD>
<WORD coords="2115,3575,2459,3517,3568">Convenido</WORD>
<WORD coords="2486,3575,2517,3474,3575">i</WORD>
<WORD coords="2524,3580,2563,3541,3580">a</WORD>
</LINE>
<LINE>
<WORD coords="192,3635,447,3579,3633">escribir</WORD>
<WORD coords="503,3637,583,3602,3637">un</WORD>
<WORD coords="646,3647,830,3598,3641">punto</WORD>
<WORD coords="889,3644,959,3610,3643">en</WORD>
<WORD coords="1023,3648,1130,3613,3646">vez</WORD>
<WORD coords="1197,3652,1293,3594,3650">del</WORD>
<WORD coords="1347,3672,1520,3597,3650">signo</WORD>
<WORD coords="1553,3647,1631,3630,3650">—</WORD>
<WORD coords="1666,3659,1740,3605,3658">de</WORD>
<WORD coords="1776,3666,1899,3609,3664">éste</WORD>
<WORD coords="1939,3668,2120,3615,3666">modo</WORD>
<WORD coords="2159,3686,2176,3639,3678">;</WORD>
<WORD coords="2209,3671,2244,3625,3671">5</WORD>
<WORD coords="2277,3678,2287,3662,3678">,</WORD>
<WORD coords="2326,3678,2359,3631,3678">2</WORD>
<WORD coords="2393,3690,2405,3667,3690">,</WORD>
<WORD coords="2442,3701,2557,3648,3684">que</WORD>
</LINE>
<LINE>
<WORD coords="190,3742,254,3703,3739">*e</WORD>
<WORD coords="312,3741,400,3687,3740">lee</WORD>
<WORD coords="456,3741,488,3695,3746">5</WORD>
<WORD coords="542,3744,602,3708,3743">es</WORD>
<WORD coords="648,3754,1189,3694,3749">aritméticamente</WORD>
<WORD coords="1248,3757,1283,3722,3757">a</WORD>
<WORD coords="1338,3759,1393,3716,3756">2.</WORD>
<WORD coords="1588,3731,1616,3707,3726">&apos;*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="439,3875,817,3796,3851">Proporción</WORD>
<WORD coords="865,3868,1214,3801,3859">aritmética</WORD>
<WORD coords="1272,3864,1335,3829,3863">es</WORD>
<WORD coords="1394,3866,1445,3812,3864">ia</WORD>
<WORD coords="1491,3888,1783,3811,3870">igualdad</WORD>
<WORD coords="1820,3881,1893,3798,3880">d¿</WORD>
<WORD coords="1956,3882,2070,3825,3880">dos</WORD>
<WORD coords="2113,3897,2365,3847,3892">raines</WORD>
<WORD coords="2405,3901,2551,3835,3893">in»</WORD>
</LINE>
<LINE>
<WORD coords="186,3957,438,3898,3954">meticas</WORD>
<WORD coords="474,3966,493,3925,3973">;</WORD>
<WORD coords="520,3959,607,3906,3957">asi</WORD>
<WORD coords="651,3961,686,3914,3970">5</WORD>
<WORD coords="715,3954,794,3940,3962">--</WORD>
<WORD coords="825,3966,860,3919,3973">2</WORD>
<WORD coords="898,3964,994,3933,3972">=</WORD>
<WORD coords="1028,3967,1060,3917,3967">r</WORD>
<WORD coords="1098,3962,1184,3945,3971">~</WORD>
<WORD coords="1213,3972,1249,3932,3976">4</WORD>
<WORD coords="1287,3986,1302,3961,3986">,</WORD>
<WORD coords="1337,3989,1453,3938,3973">que</WORD>
<WORD coords="1511,3976,1574,3941,3975">se</WORD>
<WORD coords="1614,3984,1850,3928,3979">estribe</WORD>
<WORD coords="1905,4004,2211,3933,3991">poniendo</WORD>
<WORD coords="2243,3998,2353,3940,3996">dos</WORD>
<WORD coords="2393,4015,2539,3961,3999">pim.</WORD>
</LINE>
<LINE>
<WORD coords="142,4083,159,4045,4083">t</WORD>
<WORD coords="174,4064,274,4006,4062">tm</WORD>
<WORD coords="328,4060,403,4022,4060">en</WORD>
<WORD coords="462,4066,579,4025,4064">vez</WORD>
<WORD coords="634,4068,736,4013,4067">del</WORD>
<WORD coords="791,4092,969,4017,4071">signo</WORD>
<WORD coords="1019,4078,1093,4020,4077">de</WORD>
<WORD coords="1155,4110,1499,4020,4080">igualdad,</WORD>
<WORD coords="1521,4087,1599,4026,4086">de</WORD>
<WORD coords="1646,4091,1771,4005,4089">eUe</WORD>
<WORD coords="1833,4101,2019,4035,4098">mudo</WORD>
<WORD coords="2050,4114,2068,4085,4107">,</WORD>
<WORD coords="2117,4101,2151,4054,4101">5</WORD>
<WORD coords="2188,4103,2202,4088,4103">.</WORD>
<WORD coords="2236,4106,2273,4057,4105">%</WORD>
<WORD coords="2305,4105,2319,4068,4105">:</WORD>
<WORD coords="2365,4108,2395,4057,4107">7</WORD>
<WORD coords="2436,4107,2447,4094,4107">.</WORD>
<WORD coords="2484,4108,2543,4062,4097">4.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0133.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0134.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0134.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1772,540,1988,430,538">im</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="695,696,737,637,684">y</WORD>
<WORD coords="784,672,847,632,670">se</WORD>
<WORD coords="899,667,992,612,666">lee</WORD>
<WORD coords="1031,665,1051,630,663">;</WORD>
<WORD coords="1103,661,1134,612,660">5</WORD>
<WORD coords="1192,660,1252,623,660">es</WORD>
<WORD coords="1311,660,1855,606,655">aritméticamente</WORD>
<WORD coords="1907,653,1943,618,653">a</WORD>
<WORD coords="2004,653,2039,605,653">2</WORD>
<WORD coords="2100,652,2261,610,651">como</WORD>
<WORD coords="2321,651,2357,596,652">7</WORD>
<WORD coords="2409,648,2448,608,648">a</WORD>
<WORD coords="2501,649,2544,592,649">4</WORD>
<WORD coords="2547,668,2593,633,668">V</WORD>
<WORD coords="2655,649,2917,588,647">Cuando</WORD>
<WORD coords="2962,647,3060,588,645">los</WORD>
</LINE>
<LINE>
<WORD coords="698,783,998,724,775">términos</WORD>
<WORD coords="1047,771,1287,712,767">medios</WORD>
<WORD coords="1337,765,1443,728,763">son</WORD>
<WORD coords="1506,763,1585,726,762">un</WORD>
<WORD coords="1647,761,1874,705,760">mismo</WORD>
<WORD coords="1930,761,2190,721,758">numero</WORD>
<WORD coords="2223,772,2240,745,765">,</WORD>
<WORD coords="2270,757,2325,703,756">la</WORD>
<WORD coords="2374,776,2742,697,753">proporción</WORD>
<WORD coords="2795,752,2859,715,750">es</WORD>
<WORD coords="2916,752,3059,714,750">con-</WORD>
</LINE>
<LINE>
<WORD coords="699,892,870,830,886">tinua</WORD>
<WORD coords="903,897,916,848,888">;</WORD>
<WORD coords="955,880,1196,820,877">cuando</WORD>
<WORD coords="1252,874,1588,814,870">diferentes</WORD>
<WORD coords="1626,883,1642,857,875">,</WORD>
<WORD coords="1691,868,1756,832,868">es</WORD>
<WORD coords="1809,868,2077,810,865">discreta</WORD>
<WORD coords="2113,865,2128,828,866">:</WORD>
<WORD coords="2177,864,2230,808,863">la</WORD>
<WORD coords="2278,878,2639,804,861">proporción</WORD>
<WORD coords="2677,860,2707,812,863">8</WORD>
<WORD coords="2746,844,2757,830,855">•</WORD>
<WORD coords="2794,858,2828,810,862">5</WORD>
<WORD coords="2863,857,2876,823,862">:</WORD>
<WORD coords="2915,855,2949,807,861">5</WORD>
<WORD coords="2979,839,2994,822,853">•</WORD>
<WORD coords="3024,856,3062,806,856">2</WORD>
</LINE>
<LINE>
<WORD coords="707,997,776,960,995">es</WORD>
<WORD coords="835,995,1185,930,988">aritmética</WORD>
<WORD coords="1240,984,1531,926,981">continua</WORD>
<WORD coords="1564,1001,1581,969,993">,</WORD>
<WORD coords="1632,985,1755,941,980">que</WORD>
<WORD coords="1827,977,1894,940,977">se</WORD>
<WORD coords="1942,977,2179,918,974">escribe</WORD>
<WORD coords="2242,973,2783,910,968">abreviadamente</WORD>
<WORD coords="2853,964,2944,909,963">asi</WORD>
<WORD coords="2979,978,3039,938,974">rr</WORD>
</LINE>
<LINE>
<WORD coords="707,1109,1063,1052,1095">8-5-2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="793,1214,925,1161,1210">168.</WORD>
<WORD coords="1020,1209,1354,1151,1206">Teorema.</WORD>
<WORD coords="1449,1204,1540,1145,1202">La</WORD>
<WORD coords="1594,1200,1767,1160,1198">suma</WORD>
<WORD coords="1818,1197,1889,1140,1195">de</WORD>
<WORD coords="1944,1195,2029,1138,1193">los</WORD>
<WORD coords="2091,1192,2378,1143,1188">estremos</WORD>
<WORD coords="2410,1185,2470,1147,1185">es</WORD>
<WORD coords="2510,1204,2686,1125,1182">igual</WORD>
<WORD coords="2710,1182,2746,1143,1182">a</WORD>
<WORD coords="2776,1183,2834,1123,1181">la</WORD>
<WORD coords="2888,1178,3068,1139,1177">suma</WORD>
</LINE>
<LINE>
<WORD coords="706,1325,777,1268,1323">de</WORD>
<WORD coords="836,1319,922,1265,1318">los</WORD>
<WORD coords="978,1314,1196,1257,1312">medios</WORD>
<WORD coords="1248,1311,1320,1275,1311">en</WORD>
<WORD coords="1376,1310,1432,1251,1309">la</WORD>
<WORD coords="1477,1330,1853,1252,1305">proporción</WORD>
<WORD coords="1896,1302,2242,1247,1298">aritmética</WORD>
<WORD coords="2292,1295,2566,1239,1294">discreta</WORD>
<WORD coords="2599,1310,2616,1280,1310">,</WORD>
<WORD coords="2672,1311,2714,1253,1306">y</WORD>
<WORD coords="2773,1290,2836,1233,1289">al</WORD>
<WORD coords="2884,1308,3067,1229,1287">duplo</WORD>
</LINE>
<LINE>
<WORD coords="708,1435,802,1376,1431">áji</WORD>
<WORD coords="851,1427,1106,1371,1424">termino</WORD>
<WORD coords="1156,1422,1341,1363,1419">medio</WORD>
<WORD coords="1389,1418,1462,1381,1417">en</WORD>
<WORD coords="1507,1415,1564,1360,1414">la</WORD>
<WORD coords="1600,1415,1909,1356,1411">continua*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="963,1536,1452,1480,1529">Demostración.</WORD>
<WORD coords="1545,1523,1662,1465,1522">Sea</WORD>
<WORD coords="1714,1519,1770,1466,1518">la</WORD>
<WORD coords="1831,1534,2197,1457,1512">proporción</WORD>
<WORD coords="2243,1508,2591,1450,1506">aritmética</WORD>
<WORD coords="2646,1506,2681,1457,1510">5</WORD>
<WORD coords="2713,1489,2726,1472,1501">•</WORD>
<WORD coords="2761,1508,2795,1459,1511">2</WORD>
<WORD coords="2833,1508,2848,1469,1511">:</WORD>
<WORD coords="2884,1508,2921,1452,1511">7</WORD>
<WORD coords="2952,1489,2966,1470,1501">•</WORD>
<WORD coords="2996,1520,3062,1453,1513">4;</WORD>
</LINE>
<LINE>
<WORD coords="710,1652,761,1594,1650">ú</WORD>
<WORD coords="822,1648,880,1594,1647">la</WORD>
<WORD coords="941,1663,1236,1603,1641">ponemos</WORD>
<WORD coords="1293,1636,1366,1599,1635">en</WORD>
<WORD coords="1415,1640,1757,1572,1629">ecuación,</WORD>
<WORD coords="1816,1623,1951,1585,1622">sera</WORD>
<WORD coords="2007,1620,2039,1572,1622">5</WORD>
<WORD coords="2073,1608,2152,1594,1616">—</WORD>
<WORD coords="2182,1617,2215,1572,1621">2</WORD>
<WORD coords="2248,1591,2343,1580,1608">—</WORD>
<WORD coords="2380,1615,2410,1564,1620">7</WORD>
<WORD coords="2444,1604,2523,1591,1614">—</WORD>
<WORD coords="2551,1628,2637,1564,1623">4,</WORD>
<WORD coords="2679,1635,2719,1578,1630">y</WORD>
<WORD coords="2771,1621,2830,1557,1621">«i</WORD>
<WORD coords="2886,1612,2913,1559,1618">á</WORD>
<WORD coords="2963,1612,3065,1576,1611">ca-</WORD>
</LINE>
<LINE>
<WORD coords="713,1762,790,1705,1760">da</WORD>
<WORD coords="849,1758,1151,1696,1752">miembro</WORD>
<WORD coords="1208,1747,1532,1687,1741">añadimos</WORD>
<WORD coords="1593,1760,1674,1678,1760">-f</WORD>
<WORD coords="1728,1737,1762,1687,1737">2</WORD>
<WORD coords="1823,1756,1904,1675,1744">+</WORD>
<WORD coords="1951,1731,1991,1679,1731">4</WORD>
<WORD coords="2028,1744,2042,1718,1738">,</WORD>
<WORD coords="2088,1726,2165,1691,1725">no</WORD>
<WORD coords="2216,1796,2279,1650,1760">Je</WORD>
<WORD coords="2328,1721,2515,1672,1718">.itera</WORD>
<WORD coords="2579,1743,2730,1668,1731">fax.</WORD>
<WORD coords="2787,1719,2828,1668,1718">6</WORD>
<WORD coords="2835,1747,3077,1661,1719">.&apos;^¿\á</WORD>
</LINE>
<LINE>
<WORD coords="716,1872,1010,1811,1867">ecuación</WORD>
<WORD coords="1055,1881,1094,1826,1870">y</WORD>
<WORD coords="1151,1859,1510,1802,1855">tendremos</WORD>
<WORD coords="1551,1851,1583,1804,1846">5</WORD>
<WORD coords="1640,1838,1721,1823,1839">—</WORD>
<WORD coords="1765,1848,1802,1798,1848">2</WORD>
<WORD coords="1857,1867,1934,1790,1867">-f</WORD>
<WORD coords="1980,1842,2013,1796,1842">2</WORD>
<WORD coords="2059,1865,2141,1783,1853">+</WORD>
<WORD coords="2193,1839,2233,1788,1840">4</WORD>
<WORD coords="2292,1833,2386,1803,1835">~=</WORD>
<WORD coords="2414,1835,2454,1784,1838">7</WORD>
<WORD coords="2642,1828,2680,1779,1834">4</WORD>
<WORD coords="2736,1841,2779,1777,1841">+</WORD>
<WORD coords="2821,1826,2856,1778,1833">2</WORD>
<WORD coords="2908,1842,2951,1780,1841">+</WORD>
<WORD coords="3004,1838,3071,1771,1830">4;</WORD>
</LINE>
<LINE>
<WORD coords="718,1993,1144,1914,1971">destruyendo</WORD>
<WORD coords="1194,1965,1380,1906,1963">ahora</WORD>
<WORD coords="1432,1960,1519,1907,1959">las</WORD>
<WORD coords="1567,1957,1925,1897,1953">cantidades</WORD>
<WORD coords="1979,1968,2271,1890,1946">positiva-</WORD>
<WORD coords="2328,1962,2350,1897,1952">(</WORD>
<WORD coords="2371,1957,2514,1886,1946">100)</WORD>
<WORD coords="2566,1937,2680,1900,1936">con</WORD>
<WORD coords="2744,1932,2831,1880,1930">las</WORD>
<WORD coords="2886,1950,3072,1891,1928">nega.</WORD>
</LINE>
<LINE>
<WORD coords="716,2091,877,2032,2087">tivas</WORD>
<WORD coords="914,2101,930,2073,2090">,</WORD>
<WORD coords="988,2079,1214,2019,2077">resulta</WORD>
<WORD coords="1268,2084,1956,2007,2068">5+4=74-2:</WORD>
<WORD coords="1993,2077,2138,2022,2057">pero</WORD>
<WORD coords="2196,2054,2230,2005,2056">5</WORD>
<WORD coords="2285,2072,2321,2016,2065">y</WORD>
<WORD coords="2370,2051,2412,2000,2054">4</WORD>
<WORD coords="2457,2048,2567,2009,2046">son</WORD>
<WORD coords="2601,2044,2689,1992,2042">los</WORD>
<WORD coords="2733,2047,3068,1995,2036">estremos,</WORD>
</LINE>
<LINE>
<WORD coords="721,2199,754,2146,2199">7</WORD>
<WORD coords="801,2217,838,2160,2206">y</WORD>
<WORD coords="892,2196,927,2147,2194">2</WORD>
<WORD coords="977,2193,1067,2137,2190">los</WORD>
<WORD coords="1118,2190,1357,2132,2188">medios</WORD>
<WORD coords="1394,2202,1412,2150,2202">;</WORD>
<WORD coords="1472,2204,1643,2130,2182">luego</WORD>
<WORD coords="1703,2180,1762,2124,2179">la</WORD>
<WORD coords="1814,2175,1983,2136,2172">¿urna</WORD>
<WORD coords="2040,2172,2163,2112,2168">&amp;c*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="976,2304,1040,2248,2303">Si</WORD>
<WORD coords="1115,2300,1173,2245,2300">la</WORD>
<WORD coords="1239,2318,1607,2235,2292">proporción</WORD>
<WORD coords="1666,2288,1731,2251,2287">es</WORD>
<WORD coords="1788,2283,2075,2224,2279">continua</WORD>
<WORD coords="2110,2289,2127,2262,2282">,</WORD>
<WORD coords="2204,2272,2289,2214,2270">tal</WORD>
<WORD coords="2346,2269,2526,2229,2267">como</WORD>
<WORD coords="2586,2257,2639,2243,2266">~</WORD>
<WORD coords="2724,2263,3083,2197,2254">8.5.2,</WORD>
</LINE>
<LINE>
<WORD coords="723,2422,1083,2362,2417">tendremos</WORD>
<WORD coords="1139,2415,1250,2371,2407">por</WORD>
<WORD coords="1308,2405,1366,2349,2405">lo</WORD>
<WORD coords="1414,2403,1682,2342,2398">acabado</WORD>
<WORD coords="1717,2393,1795,2337,2392">de</WORD>
<WORD coords="1855,2389,2208,2333,2383">demostrar</WORD>
<WORD coords="2238,2390,2252,2367,2390">,</WORD>
<WORD coords="2308,2395,2426,2339,2376">que</WORD>
<WORD coords="2473,2373,2504,2326,2380">8</WORD>
<WORD coords="2555,2385,2601,2318,2386">+</WORD>
<WORD coords="2649,2364,2911,2311,2368">2=5</WORD>
<WORD coords="2946,2375,2988,2311,2381">+</WORD>
<WORD coords="3022,2372,3083,2306,2364">5,</WORD>
</LINE>
<LINE>
<WORD coords="723,2530,762,2473,2528">ó</WORD>
<WORD coords="813,2526,871,2474,2523">lo</WORD>
<WORD coords="934,2543,1048,2485,2522">que</WORD>
<WORD coords="1096,2518,1162,2483,2518">es</WORD>
<WORD coords="1214,2516,1272,2460,2515">lo</WORD>
<WORD coords="1327,2519,1601,2456,2509">mismo,</WORD>
<WORD coords="1659,2515,1889,2450,2503">8+2</WORD>
<WORD coords="1971,2491,2140,2444,2496">=2</WORD>
<WORD coords="2181,2488,2238,2427,2488">X</WORD>
<WORD coords="2272,2486,2300,2441,2493">5</WORD>
<WORD coords="2336,2502,2350,2454,2501">;</WORD>
<WORD coords="2406,2500,2587,2428,2480">luego</WORD>
<WORD coords="2636,2480,2744,2422,2476">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="822,2634,936,2579,2631">169</WORD>
<WORD coords="1052,2629,1383,2569,2624">Teorema.</WORD>
<WORD coords="1421,2619,1486,2561,2617">Si</WORD>
<WORD coords="1521,2614,1730,2565,2612">cuatro</WORD>
<WORD coords="1795,2609,2072,2567,2604">números</WORD>
<WORD coords="2132,2599,2241,2561,2598">son</WORD>
<WORD coords="2299,2592,2448,2537,2589">tales</WORD>
<WORD coords="2479,2605,2496,2577,2605">,</WORD>
<WORD coords="2520,2610,2631,2548,2585">que</WORD>
<WORD coords="2680,2584,2736,2529,2584">la</WORD>
<WORD coords="2792,2583,2962,2541,2579">suma</WORD>
<WORD coords="3013,2575,3084,2518,2573">de</WORD>
</LINE>
<LINE>
<WORD coords="729,2753,832,2696,2750">do,</WORD>
<WORD coords="880,2745,949,2690,2745">de</WORD>
<WORD coords="1003,2742,1141,2686,2740">ellos</WORD>
<WORD coords="1189,2736,1291,2699,2735">sea</WORD>
<WORD coords="1350,2753,1530,2672,2729">igual</WORD>
<WORD coords="1572,2727,1608,2691,2727">a</WORD>
<WORD coords="1667,2723,1723,2671,2722">la</WORD>
<WORD coords="1778,2719,1948,2683,2717">suma</WORD>
<WORD coords="2000,2714,2068,2660,2712">de</WORD>
<WORD coords="2128,2712,2211,2655,2709">los</WORD>
<WORD coords="2263,2707,2426,2660,2702">otros</WORD>
<WORD coords="2490,2699,2594,2642,2697">dos</WORD>
<WORD coords="2619,2713,2635,2688,2713">,</WORD>
<WORD coords="2683,2692,2790,2654,2690">con</WORD>
<WORD coords="2840,2687,2979,2631,2684">ellos</WORD>
<WORD coords="3026,2682,3055,2647,2682">s</WORD>
<WORD coords="3062,2699,3091,2661,2699">e</WORD>
</LINE>
<LINE>
<WORD coords="723,2874,921,2800,2854">podra</WORD>
<WORD coords="957,2873,1212,2790,2850">formar</WORD>
<WORD coords="1259,2863,1630,2780,2836">proporción</WORD>
<WORD coords="1681,2831,2024,2770,2825">aritmética</WORD>
<WORD coords="2060,2840,2073,2791,2837">;</WORD>
<WORD coords="2131,2834,2269,2774,2815">pero</WORD>
<WORD coords="2324,2812,2393,2757,2811">de</WORD>
<WORD coords="2451,2808,2614,2750,2806">modo</WORD>
<WORD coords="2675,2815,2786,2761,2796">que</WORD>
<WORD coords="2845,2794,2928,2740,2792">los</WORD>
<WORD coords="2988,2791,3093,2736,2790">do*</WORD>
</LINE>
<LINE>
<WORD coords="737,2965,1059,2904,2960">sumandos</WORD>
<WORD coords="1127,2954,1197,2897,2953">de</WORD>
<WORD coords="1251,2951,1330,2911,2950">un</WORD>
<WORD coords="1386,2946,1665,2886,2942">miembro</WORD>
<WORD coords="1723,2939,1869,2896,2936">sean</WORD>
<WORD coords="1931,2932,2013,2881,2930">tos</WORD>
<WORD coords="2071,2928,2291,2869,2924">medios</WORD>
<WORD coords="2352,2939,2391,2881,2934">y</WORD>
<WORD coords="2464,2915,2547,2858,2914">los</WORD>
<WORD coords="2615,2911,2782,2865,2907">otros</WORD>
<WORD coords="2837,2901,2941,2844,2899">dos</WORD>
<WORD coords="2997,2897,3090,2842,2893">los</WORD>
</LINE>
<LINE>
<WORD coords="734,3073,1027,3024,3069">estremos</WORD>
<WORD coords="1058,3077,1072,3054,3077">,</WORD>
<WORD coords="1127,3083,1167,3024,3070">y</WORD>
<WORD coords="1225,3058,1286,3003,3057">al</WORD>
<WORD coords="1336,3056,1671,2993,3051">contrario.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="991,3172,1475,3108,3166">Demostración.</WORD>
<WORD coords="1571,3157,1685,3101,3155">Sea</WORD>
<WORD coords="1731,3152,1787,3098,3151">la</WORD>
<WORD coords="1843,3149,2136,3088,3145">ecuación</WORD>
<WORD coords="2192,3148,2418,3084,3142">5+4</WORD>
<WORD coords="2656,3126,2688,3074,3135">7</WORD>
<WORD coords="2747,3131,2789,3067,3138">+</WORD>
<WORD coords="2842,3118,2877,3070,3131">2</WORD>
<WORD coords="2908,3124,2923,3103,3134">,</WORD>
<WORD coords="2983,3127,3105,3066,3110">voy</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="738,3288,771,3233,3288">k</WORD>
<WORD coords="826,3285,1172,3228,3279">demostrar</WORD>
<WORD coords="1224,3293,1344,3236,3273">que</WORD>
<WORD coords="1389,3290,1591,3208,3267">puedo</WORD>
<WORD coords="1647,3263,1880,3203,3258">formar</WORD>
<WORD coords="1939,3252,1994,3200,3252">la</WORD>
<WORD coords="2054,3270,2420,3189,3245">proporción</WORD>
<WORD coords="2458,3239,2486,3195,3244">5</WORD>
<WORD coords="2578,3237,2913,3181,3235">2-7.4;</WORD>
<WORD coords="2951,3236,3084,3179,3215">por»</WORD>
</LINE>
<LINE>
<WORD coords="738,3414,859,3356,3391">que</WORD>
<WORD coords="920,3408,1216,3329,3386">quitando</WORD>
<WORD coords="1266,3382,1344,3327,3381">de</WORD>
<WORD coords="1388,3379,1603,3319,3376">ambos</WORD>
<WORD coords="1638,3370,1973,3309,3364">miembros</WORD>
<WORD coords="2035,3357,2087,3305,3356">la</WORD>
<WORD coords="2139,3355,2314,3318,3353">suma</WORD>
<WORD coords="2372,3349,2448,3296,3349">de</WORD>
<WORD coords="2505,3345,2617,3289,3343">dos</WORD>
<WORD coords="2669,3340,2960,3292,3331">números</WORD>
<WORD coords="3011,3322,3102,3277,3322">to-</WORD>
</LINE>
<LINE>
<WORD coords="742,3502,835,3445,3501">les</WORD>
<WORD coords="873,3514,887,3486,3513">,</WORD>
<WORD coords="934,3513,1052,3458,3496">que</WORD>
<WORD coords="1115,3494,1260,3434,3492">cada</WORD>
<WORD coords="1313,3490,1437,3448,3487">uno</WORD>
<WORD coords="1499,3482,1563,3445,3481">se</WORD>
<WORD coords="1613,3479,1776,3422,3475">halle</WORD>
<WORD coords="1837,3472,1910,3434,3470">en</WORD>
<WORD coords="1970,3469,2050,3429,3466">un</WORD>
<WORD coords="2102,3464,2404,3404,3458">miembro</WORD>
<WORD coords="2427,3467,2454,3443,3470">,</WORD>
<WORD coords="2513,3450,2571,3416,3450">v.</WORD>
<WORD coords="2633,3470,2671,3414,3470">g</WORD>
<WORD coords="2757,3441,2809,3388,3440">el</WORD>
<WORD coords="2858,3437,2897,3387,3453">4</WORD>
<WORD coords="2943,3454,2979,3396,3462">y</WORD>
<WORD coords="3041,3427,3072,3390,3427">e</WORD>
</LINE>
<LINE>
<WORD coords="746,3623,837,3542,3612">2\</WORD>
<WORD coords="881,3603,1233,3547,3599">tendremos</WORD>
<WORD coords="1270,3595,1300,3550,3595">5</WORD>
<WORD coords="1341,3608,1383,3538,3599">+</WORD>
<WORD coords="1428,3591,1614,3540,3587">4—</WORD>
<WORD coords="1669,3583,1825,3537,3581">4—</WORD>
<WORD coords="1886,3577,1919,3530,3584">2</WORD>
<WORD coords="1983,3569,2078,3557,3583">—</WORD>
<WORD coords="2142,3570,2165,3526,3580">¡</WORD>
<WORD coords="2216,3590,2295,3526,3572">*+&quot;</WORD>
<WORD coords="2551,3556,2589,3526,3573">*</WORD>
<WORD coords="2871,3640,2897,3601,3640">7</WORD>
<WORD coords="3035,3640,3096,3589,3632">4*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="748,3728,1065,3653,3711">truyendo</WORD>
<WORD coords="1104,3707,1185,3652,3705">las</WORD>
<WORD coords="1219,3722,1514,3644,3699">positivas</WORD>
<WORD coords="1549,3696,1663,3652,3694">con</WORD>
<WORD coords="1700,3691,1785,3638,3690">las</WORD>
<WORD coords="1817,3706,2139,3639,3680">negativas</WORD>
<WORD coords="2177,3690,2193,3662,3688">,</WORD>
<WORD coords="2222,3673,2448,3613,3669">resulta</WORD>
<WORD coords="2479,3664,2510,3618,3675">5</WORD>
<WORD coords="2548,3651,2623,3639,3668">—</WORD>
<WORD coords="2656,3661,2691,3613,3673">2</WORD>
<WORD coords="2746,3649,2835,3619,3649">—</WORD>
</LINE>
<LINE>
<WORD coords="750,3842,869,3786,3820">que</WORD>
<WORD coords="927,3835,1139,3770,3813">puesta</WORD>
<WORD coords="1188,3809,1240,3759,3809">la</WORD>
<WORD coords="1274,3829,1567,3747,3805">igualdad</WORD>
<WORD coords="1616,3800,1688,3747,3799">de</WORD>
<WORD coords="1735,3797,2185,3732,3789">sustracciones</WORD>
<WORD coords="2237,3778,2554,3718,3774">indicadas</WORD>
<WORD coords="2611,3769,2683,3729,3767">en</WORD>
<WORD coords="2717,3787,3112,3717,3759">proporción,</WORD>
</LINE>
<LINE>
<WORD coords="756,3931,836,3875,3930">da</WORD>
<WORD coords="891,3927,1331,3872,3920">5.2:7.</WORD>
<WORD coords="1381,3914,1440,3866,3913">4,</WORD>
<WORD coords="1535,3910,1607,3855,3910">L.</WORD>
<WORD coords="1677,3917,1756,3851,3911">Q.</WORD>
<WORD coords="1821,3901,1897,3845,3901">D.</WORD>
<WORD coords="1957,3897,2033,3840,3897">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1006,4034,1245,3972,4028">Escolto</WORD>
<WORD coords="1364,4023,1452,3968,4022">La</WORD>
<WORD coords="1508,4036,1870,3957,4013">proporción</WORD>
<WORD coords="1935,4007,2276,3941,4001">aritmética</WORD>
<WORD coords="2320,3996,2590,3935,3991">también</WORD>
<WORD coords="2645,3986,2709,3947,3984">se</WORD>
<WORD coords="2773,3993,2971,3922,3974">puede</WORD>
<WORD coords="3033,3971,3113,3922,3970">al-</WORD>
</LINE>
<LINE>
<WORD coords="755,4157,975,4103,4148">ternar</WORD>
<WORD coords="1036,4159,1348,4076,4135">.invertir</WORD>
<WORD coords="1393,4151,1431,4093,4151">y</WORD>
<WORD coords="1483,4152,1853,4076,4123">permutar,</WORD>
<WORD coords="1908,4116,2002,4058,4115">sin</WORD>
<WORD coords="2053,4130,2171,4072,4110">que</WORD>
<WORD coords="2235,4126,2373,4047,4104">deje</WORD>
<WORD coords="2440,4105,2518,4044,4103">de</WORD>
<WORD coords="2577,4097,2674,4055,4096">ser</WORD>
<WORD coords="2731,4111,3122,4040,4083">proporción</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0134.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0135.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0135.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1330,576,1542,486,574">125</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="339,694,475,641,693">170.</WORD>
<WORD coords="571,695,919,636,693">Problema.</WORD>
<WORD coords="1012,695,1222,638,694">Dados</WORD>
<WORD coords="1284,693,1407,649,692">tres</WORD>
<WORD coords="1463,696,1751,641,695">términos</WORD>
<WORD coords="1806,697,1876,641,696">de</WORD>
<WORD coords="1909,697,1967,641,696">la</WORD>
<WORD coords="2016,723,2387,644,697">proporción</WORD>
<WORD coords="2445,694,2600,650,693">ant*</WORD>
</LINE>
<LINE>
<WORD coords="254,801,472,740,799">éietica</WORD>
<WORD coords="523,802,790,747,800">discreta</WORD>
<WORD coords="827,814,845,788,807">,</WORD>
<WORD coords="901,801,1102,746,799">hallar</WORD>
<WORD coords="1148,800,1202,746,800">el</WORD>
<WORD coords="1248,805,1481,757,799">Cuarto,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="484,908,872,851,905">Resolución,</WORD>
<WORD coords="962,907,1027,849,906">Si</WORD>
<WORD coords="1095,906,1162,870,906">es</WORD>
<WORD coords="1215,907,1294,872,906">un</WORD>
<WORD coords="1344,909,1614,863,906">estremo</WORD>
<WORD coords="1671,910,1724,857,909">el</WORD>
<WORD coords="1785,934,2100,857,912">incógnito</WORD>
<WORD coords="2134,931,2153,903,931">t</WORD>
<WORD coords="2191,913,2477,857,910">súmense</WORD>
<WORD coords="2505,911,2597,853,909">los</WORD>
</LINE>
<LINE>
<WORD coords="233,1016,479,957,1013">medios</WORD>
<WORD coords="536,1033,577,976,1024">y</WORD>
<WORD coords="633,1013,711,957,1012">de</WORD>
<WORD coords="758,1013,812,957,1012">la</WORD>
<WORD coords="868,1014,1044,976,1012">suma</WORD>
<WORD coords="1089,1013,1319,969,1012">réstese</WORD>
<WORD coords="1377,1014,1433,958,1013">el</WORD>
<WORD coords="1482,1016,1616,973,1014">otro</WORD>
<WORD coords="1671,1019,1938,975,1016">estremo</WORD>
<WORD coords="1975,1036,1992,991,1027">;</WORD>
<WORD coords="2025,1019,2073,965,1018">si</WORD>
<WORD coords="2126,1024,2192,986,1022">es</WORD>
<WORD coords="2239,1020,2317,982,1018">un</WORD>
<WORD coords="2368,1030,2596,959,1014">medio,</WORD>
</LINE>
<LINE>
<WORD coords="239,1124,532,1065,1120">súmense</WORD>
<WORD coords="586,1120,676,1062,1118">los</WORD>
<WORD coords="732,1121,1033,1074,1119">estremos</WORD>
<WORD coords="1080,1140,1119,1084,1131">y</WORD>
<WORD coords="1166,1121,1244,1062,1120">de</WORD>
<WORD coords="1288,1120,1340,1066,1119">la</WORD>
<WORD coords="1374,1123,1548,1085,1121">suma</WORD>
<WORD coords="1607,1126,1842,1066,1123">réstese</WORD>
<WORD coords="1900,1129,1955,1073,1128">ti</WORD>
<WORD coords="2014,1131,2146,1088,1130">otro</WORD>
<WORD coords="2202,1128,2432,1068,1125">medio.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="486,1247,785,1167,1224">Ejemplo,</WORD>
<WORD coords="873,1225,989,1169,1224">5ea</WORD>
<WORD coords="1054,1225,1109,1171,1224">el</WORD>
<WORD coords="1168,1226,1435,1181,1224">estremo</WORD>
<WORD coords="1493,1226,1537,1190,1226">x</WORD>
<WORD coords="1604,1227,1660,1174,1227">el</WORD>
<WORD coords="1697,1247,1816,1193,1230">que</WORD>
<WORD coords="1871,1232,1935,1196,1232">se</WORD>
<WORD coords="1967,1238,2149,1180,1236">busca</WORD>
<WORD coords="2201,1234,2273,1199,1234">en</WORD>
<WORD coords="2334,1232,2392,1181,1231">la</WORD>
<WORD coords="2452,1247,2591,1188,1226">pro-</WORD>
</LINE>
<LINE>
<WORD coords="248,1353,504,1275,1332">porción</WORD>
<WORD coords="564,1333,710,1281,1332">3.5</WORD>
<WORD coords="765,1332,779,1294,1333">:</WORD>
<WORD coords="824,1332,862,1281,1333">4</WORD>
<WORD coords="899,1332,912,1318,1333">.</WORD>
<WORD coords="970,1336,1015,1293,1336">X</WORD>
<WORD coords="1050,1346,1067,1300,1340">;</WORD>
<WORD coords="1121,1332,1370,1294,1330">súmate</WORD>
<WORD coords="1430,1332,1465,1283,1333">5</WORD>
<WORD coords="1512,1334,1625,1296,1333">con</WORD>
<WORD coords="1677,1336,1718,1285,1336">4</WORD>
<WORD coords="1749,1347,1766,1323,1347">,</WORD>
<WORD coords="1820,1358,1862,1299,1349">y</WORD>
<WORD coords="1911,1340,1987,1283,1339">de</WORD>
<WORD coords="2040,1342,2095,1286,1341">la</WORD>
<WORD coords="2152,1342,2321,1302,1339">suma</WORD>
<WORD coords="2378,1333,2413,1283,1333">9</WORD>
<WORD coords="2469,1334,2595,1297,1333">res-</WORD>
</LINE>
<LINE>
<WORD coords="228,1440,295,1386,1438">to</WORD>
<WORD coords="350,1437,405,1383,1436">el</WORD>
<WORD coords="467,1437,499,1388,1439">3</WORD>
<WORD coords="532,1454,549,1427,1448">,</WORD>
<WORD coords="601,1437,660,1382,1437">lo</WORD>
<WORD coords="743,1457,862,1401,1438">que</WORD>
<WORD coords="926,1439,1005,1378,1438">da</WORD>
<WORD coords="1065,1438,1122,1383,1438">la</WORD>
<WORD coords="1169,1440,1510,1379,1437">diferencia</WORD>
<WORD coords="1580,1456,1658,1386,1447">6,</WORD>
<WORD coords="1707,1446,1972,1387,1443">termino</WORD>
<WORD coords="2039,1467,2316,1393,1449">pedido,</WORD>
<WORD coords="2364,1465,2400,1408,1453">y</WORD>
<WORD coords="2456,1442,2594,1400,1440">3era</WORD>
</LINE>
<LINE>
<WORD coords="346,1547,502,1494,1545">5:4</WORD>
<WORD coords="550,1546,661,1491,1543">.6.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="480,1651,968,1594,1649">Demostración.</WORD>
<WORD coords="1065,1652,1187,1589,1652">Por</WORD>
<WORD coords="1232,1652,1290,1594,1651">el</WORD>
<WORD coords="1337,1656,1612,1607,1654">teorema</WORD>
<WORD coords="1674,1682,1856,1605,1666">(168)</WORD>
<WORD coords="1901,1665,2176,1614,1662">tenemos</WORD>
<WORD coords="2233,1666,2273,1629,1666">x</WORD>
<WORD coords="2273,1644,2276,1630,1644">1</WORD>
<WORD coords="2334,1685,2411,1606,1666">+</WORD>
<WORD coords="2440,1659,2469,1611,1659">3</WORD>
<WORD coords="2503,1666,2598,1623,1666">-=s</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="232,1756,273,1703,1759">4</WORD>
<WORD coords="327,1779,406,1698,1779">-f-</WORD>
<WORD coords="456,1755,490,1706,1758">5</WORD>
<WORD coords="529,1770,545,1724,1766">;</WORD>
<WORD coords="599,1755,649,1701,1754">si</WORD>
<WORD coords="694,1757,771,1700,1756">de</WORD>
<WORD coords="804,1758,1015,1702,1757">ambos</WORD>
<WORD coords="1069,1760,1405,1702,1759">miembros</WORD>
<WORD coords="1458,1764,1755,1717,1761">restamos</WORD>
<WORD coords="1816,1765,1849,1717,1765">3</WORD>
<WORD coords="1886,1777,1901,1756,1777">,</WORD>
<WORD coords="1930,1788,1968,1732,1780">y</WORD>
<WORD coords="2019,1772,2312,1711,1770">hacemos</WORD>
<WORD coords="2367,1772,2422,1716,1770">la</WORD>
<WORD coords="2454,1767,2596,1712,1766">des-</WORD>
</LINE>
<LINE>
<WORD coords="227,1863,512,1806,1860">trucción</WORD>
<WORD coords="568,1862,645,1807,1861">de</WORD>
<WORD coords="723,1882,1025,1806,1862">positivas</WORD>
<WORD coords="1075,1885,1115,1828,1885">y</WORD>
<WORD coords="1175,1889,1492,1810,1866">negativas</WORD>
<WORD coords="1526,1885,1545,1855,1878">,</WORD>
<WORD coords="1630,1872,1765,1833,1871">sera</WORD>
<WORD coords="1827,1873,1872,1835,1873">x</WORD>
<WORD coords="1945,1870,2051,1831,1870">=</WORD>
<WORD coords="2105,1875,2144,1825,1875">4</WORD>
<WORD coords="2188,1878,2345,1820,1872">4-5</WORD>
<WORD coords="2398,1866,2474,1851,1866">—</WORD>
<WORD coords="2531,1879,2592,1825,1878">3.</WORD>
</LINE>
<LINE>
<WORD coords="231,1967,309,1904,1967">L.</WORD>
<WORD coords="372,1981,456,1907,1971">Q.</WORD>
<WORD coords="524,1967,604,1910,1965">D.</WORD>
<WORD coords="673,1968,755,1911,1967">D.</WORD>
<WORD coords="1017,2010,1024,1872,2010">I</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,2072,610,2013,2071">Por</WORD>
<WORD coords="656,2073,736,2036,2072">un</WORD>
<WORD coords="791,2081,1043,2017,2076">método</WORD>
<WORD coords="1091,2103,1346,2024,2078">análogo</WORD>
<WORD coords="1414,2106,2009,2021,2086">demostraríamos,</WORD>
<WORD coords="2051,2111,2170,2053,2092">que</WORD>
<WORD coords="2228,2096,2469,2034,2092">cuando</WORD>
<WORD coords="2523,2091,2582,2032,2091">el</WORD>
</LINE>
<LINE>
<WORD coords="229,2176,498,2118,2173">termino</WORD>
<WORD coords="546,2199,861,2120,2176">incógnito</WORD>
<WORD coords="931,2183,1033,2146,2182">sea</WORD>
<WORD coords="1093,2187,1214,2148,2185">uno</WORD>
<WORD coords="1273,2189,1353,2132,2188">de</WORD>
<WORD coords="1407,2191,1498,2136,2189">los</WORD>
<WORD coords="1554,2195,1799,2138,2193">medios</WORD>
<WORD coords="1846,2210,1862,2182,2203">,</WORD>
<WORD coords="1899,2197,1977,2144,2197">de</WORD>
<WORD coords="2031,2200,2087,2141,2198">la</WORD>
<WORD coords="2139,2202,2314,2163,2201">suma</WORD>
<WORD coords="2373,2202,2451,2143,2201">de</WORD>
<WORD coords="2502,2205,2595,2142,2200">los</WORD>
</LINE>
<LINE>
<WORD coords="229,2281,536,2235,2278">estremos</WORD>
<WORD coords="592,2284,655,2246,2283">se</WORD>
<WORD coords="713,2287,966,2228,2285">debería</WORD>
<WORD coords="1015,2292,1211,2248,2290">restar</WORD>
<WORD coords="1268,2294,1323,2241,2294">el</WORD>
<WORD coords="1370,2298,1507,2253,2296">otro</WORD>
<WORD coords="1564,2306,1800,2244,2301">medio.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="319,2386,459,2329,2388">171.</WORD>
<WORD coords="555,2393,901,2329,2387">Problema.</WORD>
<WORD coords="998,2398,1210,2338,2396">Dados</WORD>
<WORD coords="1266,2401,1372,2344,2400">dos</WORD>
<WORD coords="1427,2409,1716,2351,2406">términos</WORD>
<WORD coords="1771,2412,1843,2354,2411">de</WORD>
<WORD coords="1915,2416,1976,2357,2415">la</WORD>
<WORD coords="2009,2442,2382,2363,2418">proporción</WORD>
<WORD coords="2433,2422,2590,2361,2420">ariU</WORD>
</LINE>
<LINE>
<WORD coords="230,2492,450,2433,2487">inetica</WORD>
<WORD coords="517,2495,809,2440,2493">continua</WORD>
<WORD coords="830,2518,849,2483,2518">f</WORD>
<WORD coords="910,2503,1115,2444,2501">hallar</WORD>
<WORD coords="1161,2505,1215,2452,2505">el</WORD>
<WORD coords="1260,2515,1510,2462,2510">tercero.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="478,2605,865,2539,2598">Resolución.</WORD>
<WORD coords="977,2631,1369,2551,2611">Duplíquese</WORD>
<WORD coords="1430,2619,1484,2565,2618">el</WORD>
<WORD coords="1538,2644,1817,2569,2625">segundo</WORD>
<WORD coords="1858,2632,2136,2575,2630">termino</WORD>
<WORD coords="2162,2649,2179,2624,2649">,</WORD>
<WORD coords="2225,2655,2266,2598,2646">y</WORD>
<WORD coords="2323,2637,2424,2579,2635">del</WORD>
<WORD coords="2478,2640,2594,2577,2637">du-</WORD>
</LINE>
<LINE>
<WORD coords="228,2716,331,2641,2697">plo</WORD>
<WORD coords="391,2704,623,2656,2701">réstese</WORD>
<WORD coords="673,2706,730,2651,2705">el</WORD>
<WORD coords="782,2728,1072,2655,2712">primero,</WORD>
<WORD coords="1166,2744,1460,2663,2720">hjempio.</WORD>
<WORD coords="1515,2729,1669,2671,2727">Para</WORD>
<WORD coords="1707,2733,1903,2673,2731">hallar</WORD>
<WORD coords="1959,2738,2014,2682,2737">el</WORD>
<WORD coords="2052,2743,2257,2693,2740">tercer</WORD>
<WORD coords="2313,2744,2582,2687,2742">termino</WORD>
</LINE>
<LINE>
<WORD coords="229,2805,306,2758,2805">eñ</WORD>
<WORD coords="366,2807,422,2752,2807">la</WORD>
<WORD coords="469,2830,836,2759,2812">proporción</WORD>
<WORD coords="892,2806,947,2790,2819">~</WORD>
<WORD coords="1003,2832,1210,2773,2828">5.7.</WORD>
<WORD coords="1264,2848,1352,2775,2843">*\</WORD>
<WORD coords="1408,2851,1726,2777,2834">duplicaré</WORD>
<WORD coords="1771,2839,1824,2787,2839">el</WORD>
<WORD coords="1890,2844,1924,2789,2844">7</WORD>
<WORD coords="1955,2862,1972,2830,2862">,</WORD>
<WORD coords="2027,2866,2068,2810,2858">y</WORD>
<WORD coords="2126,2850,2226,2793,2849">del</WORD>
<WORD coords="2267,2868,2457,2794,2849">duplo</WORD>
<WORD coords="2514,2852,2589,2798,2851">14</WORD>
</LINE>
<LINE>
<WORD coords="231,2914,469,2858,2912">restaré</WORD>
<WORD coords="518,2916,574,2861,2915">el</WORD>
<WORD coords="632,2920,669,2872,2926">5</WORD>
<WORD coords="699,2937,715,2909,2935">,</WORD>
<WORD coords="773,2924,832,2869,2923">lo</WORD>
<WORD coords="882,2968,999,2891,2932">quC|</WORD>
<WORD coords="1039,2934,1115,2877,2932">da</WORD>
<WORD coords="1158,2935,1194,2883,2935">9</WORD>
<WORD coords="1222,2953,1239,2926,2953">,</WORD>
<WORD coords="1285,2958,1325,2904,2951">y</WORD>
<WORD coords="1382,2944,1600,2889,2942">tendré</WORD>
<WORD coords="1654,2945,1712,2892,2943">¿&lt;</WORD>
<WORD coords="1792,2960,2159,2902,2956">5.7.9.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="488,3042,1000,2961,3031">Demostración.]</WORD>
<WORD coords="1072,3049,1295,2987,3046">Puesta</WORD>
<WORD coords="1352,3053,1408,2994,3051">la</WORD>
<WORD coords="1452,3074,1817,3005,3057">proporción</WORD>
<WORD coords="1876,3064,1950,3027,3063">en</WORD>
<WORD coords="2003,3068,2297,3005,3064">ecuación</WORD>
<WORD coords="2355,3061,2418,3025,3060">es</WORD>
<WORD coords="2474,3061,2508,3012,3061">5</WORD>
<WORD coords="2550,3073,2595,3005,3073">+</WORD>
</LINE>
<LINE>
<WORD coords="234,3125,278,3087,3143">*</WORD>
<WORD coords="338,3110,432,3097,3135">~</WORD>
<WORD coords="480,3130,514,3084,3130">2</WORD>
<WORD coords="562,3155,637,3079,3155">X</WORD>
<WORD coords="692,3138,725,3084,3138">7</WORD>
<WORD coords="758,3154,776,3125,3158">*</WORD>
<WORD coords="830,3159,872,3102,3159">Y</WORD>
<WORD coords="923,3151,1214,3095,3147">restando</WORD>
<WORD coords="1262,3155,1338,3098,3154">de</WORD>
<WORD coords="1391,3160,1542,3102,3158">cada</WORD>
<WORD coords="1596,3168,1897,3107,3164">miembro</WORD>
<WORD coords="1953,3169,1988,3121,3169">5</WORD>
<WORD coords="2023,3188,2043,3158,3181">,</WORD>
<WORD coords="2092,3174,2226,3130,3169">sera</WORD>
<WORD coords="2284,3167,2320,3120,3167">5</WORD>
<WORD coords="2362,3171,2402,3115,3171">t</WORD>
<WORD coords="2429,3169,2473,3132,3169">x</WORD>
<WORD coords="2501,3164,2585,3145,3164">—</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="236,3234,272,3186,3234">5</WORD>
<WORD coords="334,3239,429,3204,3257">=</WORD>
<WORD coords="487,3240,520,3192,3253">2</WORD>
<WORD coords="571,3263,641,3190,3263">X</WORD>
<WORD coords="699,3244,736,3189,3255">7</WORD>
<WORD coords="788,3239,873,3219,3252">—</WORD>
<WORD coords="914,3265,992,3201,3260">5,</WORD>
<WORD coords="1049,3271,1087,3216,3268">y</WORD>
<WORD coords="1135,3263,1440,3198,3258">haciendo</WORD>
<WORD coords="1498,3267,1554,3210,3266">la</WORD>
<WORD coords="1601,3278,1991,3210,3272">destrucción</WORD>
<WORD coords="2025,3295,2042,3267,3295">f</WORD>
<WORD coords="2094,3281,2322,3225,3278">resulta</WORD>
<WORD coords="2377,3279,2424,3241,3279">x</WORD>
<WORD coords="2481,3275,2586,3235,3275">=</WORD>
</LINE>
<LINE>
<WORD coords="226,3359,464,3291,3359">2X7</WORD>
<WORD coords="509,3340,589,3326,3345">—</WORD>
<WORD coords="643,3350,701,3301,3350">5.</WORD>
<WORD coords="771,3352,843,3296,3352">L.</WORD>
<WORD coords="918,3370,1001,3297,3359">Q.</WORD>
<WORD coords="1065,3361,1143,3302,3360">D.</WORD>
<WORD coords="1215,3367,1294,3308,3362">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="317,3455,455,3399,3457">172.</WORD>
<WORD coords="549,3465,896,3398,3457">Problema.</WORD>
<WORD coords="993,3470,1207,3410,3468">Dados</WORD>
<WORD coords="1259,3475,1365,3416,3474">dos</WORD>
<WORD coords="1422,3500,1757,3423,3481">términos,</WORD>
<WORD coords="1800,3492,2000,3431,3490">hallar</WORD>
<WORD coords="2056,3497,2137,3457,3496">un</WORD>
<WORD coords="2193,3498,2378,3440,3496">medio</WORD>
<WORD coords="2431,3521,2577,3453,3500">pro-</WORD>
</LINE>
<LINE>
<WORD coords="218,3587,549,3503,3557">porcional</WORD>
<WORD coords="587,3572,946,3511,3564">aritmético.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="469,3676,852,3609,3668">Resolución,</WORD>
<WORD coords="944,3688,1245,3623,3683">Súmense</WORD>
<WORD coords="1300,3689,1391,3631,3688">los</WORD>
<WORD coords="1444,3702,1746,3648,3699">Pernos</WORD>
<WORD coords="1778,3722,1796,3679,3722">4</WORD>
<WORD coords="1864,3719,1902,3671,3715">y</WORD>
<WORD coords="1962,3712,2200,3665,3709">tómese</WORD>
<WORD coords="2268,3715,2320,3659,3714">la</WORD>
<WORD coords="2383,3722,2488,3660,3719">mit</WORD>
<WORD coords="2535,3721,2569,3661,3721">ú</WORD>
</LINE>
<LINE>
<WORD coords="221,3767,302,3709,3767">de</WORD>
<WORD coords="358,3769,414,3712,3768">la</WORD>
<WORD coords="478,3776,675,3734,3771">suma.</WORD>
<WORD coords="767,3804,1058,3724,3783">Ejemplo.</WORD>
<WORD coords="1157,3792,1250,3738,3791">En</WORD>
<WORD coords="1313,3796,1359,3742,3794">la</WORD>
<WORD coords="1419,3815,1786,3755,3803">proporción</WORD>
<WORD coords="1868,3825,2154,3763,3819">continua</WORD>
<WORD coords="2208,3820,2262,3766,3820">¿</WORD>
<WORD coords="2359,3826,2381,3777,3826">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="367,3892,510,3836,3875">para</WORD>
<WORD coords="560,3881,755,3821,3879">hallar</WORD>
<WORD coords="813,3885,867,3834,3884">el</WORD>
<WORD coords="920,3892,1126,3837,3889">cnedio</WORD>
<WORD coords="1335,3905,1512,3867,3903">sumo</WORD>
<WORD coords="1566,3910,1602,3864,3910">5</WORD>
<WORD coords="1667,3912,1713,3877,3912">c,</WORD>
<WORD coords="1743,3915,1777,3880,3915">n</WORD>
<WORD coords="1834,3918,1871,3867,3918">9</WORD>
<WORD coords="1906,3932,1920,3911,3932">,</WORD>
<WORD coords="1950,3933,1986,3887,3930">y</WORD>
<WORD coords="2021,3928,2095,3872,3927">de</WORD>
<WORD coords="2155,3931,2206,3879,3930">la</WORD>
</LINE>
<LINE>
<WORD coords="212,3978,385,3929,3977">tomo</WORD>
<WORD coords="444,3983,497,3923,3980">la</WORD>
<WORD coords="559,3986,753,3930,3982">mitad</WORD>
<WORD coords="813,3999,894,3956,3999">W</WORD>
<WORD coords="904,3993,934,3960,3993">e</WORD>
<WORD coords="992,3997,1055,3961,3996">es</WORD>
<WORD coords="1108,3999,1134,3950,3999">7</WORD>
<WORD coords="1171,4011,1188,3989,4010">,</WORD>
<WORD coords="1241,4010,1502,3962,4004">termmo</WORD>
<WORD coords="1560,4032,1802,3966,4017">prdido.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="465,4093,728,4029,4089">MOTA,</WORD>
<WORD coords="977,4105,1034,4049,4104">la</WORD>
<WORD coords="1083,4130,1406,4054,4109">A.gba,</WORD>
<WORD coords="1464,4119,1514,4064,4118">si</WORD>
<WORD coords="1575,4130,1733,4068,4126">Dios</WORD>
<WORD coords="1792,4136,1904,4093,4134">nos</WORD>
<WORD coords="1962,4139,2040,4081,4139">d*</WORD>
<WORD coords="2093,4148,2248,4067,4144">ri&amp;&lt;</WORD>
<WORD coords="2299,4149,2458,4089,4149">tfa*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1346,4196,1419,4145,4195">33</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0135.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0136.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0136.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1748,542,1959,449,540">126</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="660,640,802,596,638">Oíos</WORD>
<WORD coords="859,644,991,602,643">mas</WORD>
<WORD coords="1053,645,1081,589,654">á</WORD>
<WORD coords="1144,652,1338,587,649">fondo</WORD>
<WORD coords="1388,653,1464,596,653">de</WORD>
<WORD coords="1537,656,1624,599,655">las</WORD>
<WORD coords="1685,662,1948,621,660">razones</WORD>
<WORD coords="2007,684,2045,628,684">y</WORD>
<WORD coords="2110,688,2576,597,669">proporciones.&apos;</WORD>
<WORD coords="2663,696,2846,621,678">Aquí</WORD>
<WORD coords="2903,684,3049,625,682">soto-</WORD>
</LINE>
<LINE>
<WORD coords="664,747,885,685,745">hemos</WORD>
<WORD coords="938,766,1154,710,753">puesto</WORD>
<WORD coords="1216,776,1506,703,757">aquello,</WORD>
<WORD coords="1567,782,1686,727,764">que</WORD>
<WORD coords="1765,767,1828,731,767">es</WORD>
<WORD coords="1890,791,2348,715,771">indispensable</WORD>
<WORD coords="2419,797,2561,741,778">para</WORD>
<WORD coords="2622,785,2919,728,782">entender</WORD>
<WORD coords="2979,790,3036,734,788">la</WORD>
</LINE>
<LINE>
<WORD coords="657,873,838,798,852">regla</WORD>
<WORD coords="873,859,945,801,858">de</WORD>
<WORD coords="1002,863,1127,817,862">tres</WORD>
<WORD coords="1162,883,1179,851,880">,</WORD>
<WORD coords="1228,865,1302,808,865">de</WORD>
<WORD coords="1359,891,1684,824,868">compañía</WORD>
<WORD coords="1716,891,1732,829,884">;</WORD>
<WORD coords="1793,876,1896,819,875">Zsfc</WORD>
<WORD coords="1929,880,1943,865,879">.</WORD>
<WORD coords="1998,879,2075,821,878">de</WORD>
<WORD coords="2138,897,2256,843,880">que</WORD>
<WORD coords="2313,886,2527,845,884">vamos</WORD>
<WORD coords="2583,889,2612,834,889">á</WORD>
<WORD coords="2664,914,3030,855,894">ocupamos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="849,1032,1075,966,1030">USOS</WORD>
<WORD coords="1138,1033,1260,973,1032">DE</WORD>
<WORD coords="1312,1035,1440,974,1034">LA</WORD>
<WORD coords="1510,1048,2110,979,1042">PROPORCION</WORD>
<WORD coords="2177,1063,2842,985,1054">GEOMETRICA.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1555,1226,1786,1147,1205">Reglas</WORD>
<WORD coords="1837,1208,1910,1151,1208">de</WORD>
<WORD coords="1968,1218,2118,1164,1211">tres.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="739,1327,879,1267,1328">173,</WORD>
<WORD coords="930,1330,1090,1267,1327">Para</WORD>
<WORD coords="1122,1335,1420,1276,1332">entender</WORD>
<WORD coords="1453,1339,1511,1280,1337">la</WORD>
<WORD coords="1541,1358,1707,1284,1337">regia</WORD>
<WORD coords="1739,1342,1817,1284,1341">de</WORD>
<WORD coords="1873,1344,1997,1298,1343">tres</WORD>
<WORD coords="2026,1362,2043,1334,1362">,</WORD>
<WORD coords="2077,1371,2530,1308,1348">propongamos</WORD>
<WORD coords="2577,1354,2630,1296,1354">!a</WORD>
<WORD coords="2678,1372,3020,1293,1353">siguiente:.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="906,1440,1227,1376,1435">Cuestión.</WORD>
<WORD coords="1286,1441,1354,1385,1440">Si</WORD>
<WORD coords="1377,1442,1417,1391,1446">4</WORD>
<WORD coords="1463,1464,1758,1388,1443">tejedores</WORD>
<WORD coords="1818,1471,2107,1393,1449">trabajan</WORD>
<WORD coords="2146,1453,2218,1402,1453">16</WORD>
<WORD coords="2257,1456,2440,1417,1454">varas</WORD>
<WORD coords="2494,1459,2564,1402,1458">de</WORD>
<WORD coords="2587,1475,2753,1402,1459">paño</WORD>
<WORD coords="2811,1462,2879,1423,1461">en</WORD>
<WORD coords="2936,1464,3031,1422,1462">an¡</WORD>
</LINE>
<LINE>
<WORD coords="649,1535,758,1475,1534">día</WORD>
<WORD coords="791,1554,813,1503,1554">y</WORD>
<WORD coords="863,1537,928,1499,1536">se</WORD>
<WORD coords="969,1563,1284,1493,1545">pregunta</WORD>
<WORD coords="1337,1572,1372,1515,1563">¿</WORD>
<WORD coords="1414,1551,1682,1491,1550">Cuantas</WORD>
<WORD coords="1730,1559,1917,1516,1554">varas</WORD>
<WORD coords="1994,1578,2360,1501,1558">trabajaran</WORD>
<WORD coords="2416,1562,2486,1525,1561">en</WORD>
<WORD coords="2541,1564,2597,1510,1563">el</WORD>
<WORD coords="2648,1568,2854,1511,1565">mismo</WORD>
<WORD coords="2914,1572,3030,1514,1569">di&amp;</WORD>
</LINE>
<LINE>
<WORD coords="644,1642,690,1585,1651">&amp;</WORD>
<WORD coords="736,1663,1026,1586,1644">tejedores</WORD>
<WORD coords="1085,1651,1160,1593,1650">de</WORD>
<WORD coords="1215,1673,1393,1598,1654">igual</WORD>
<WORD coords="1445,1660,1728,1599,1656">destreza</WORD>
<WORD coords="1783,1680,1841,1622,1662">y-</WORD>
<WORD coords="1884,1666,2166,1606,1662">robustez</WORD>
<WORD coords="2221,1666,2336,1626,1665">tiue</WORD>
<WORD coords="2401,1667,2486,1612,1667">los</WORD>
<WORD coords="2528,1692,2888,1614,1669">primeros?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="900,1760,1289,1694,1754">Resolución,</WORD>
<WORD coords="1383,1781,1696,1703,1763">Supuesto</WORD>
<WORD coords="1769,1784,1887,1730,1767">que</WORD>
<WORD coords="1950,1772,2038,1710,1768">los</WORD>
<WORD coords="2116,1792,2429,1714,1770">tejedores</WORD>
<WORD coords="2489,1775,2596,1736,1774">son</WORD>
<WORD coords="2649,1800,2886,1723,1777">iguales</WORD>
<WORD coords="2939,1784,3014,1742,1781">en</WORD>
</LINE>
<LINE>
<WORD coords="648,1857,943,1793,1853">destreza</WORD>
<WORD coords="1006,1880,1045,1823,1876">y</WORD>
<WORD coords="1101,1862,1149,1823,1862">r&lt;</WORD>
<WORD coords="1173,1867,1396,1806,1864">bustez</WORD>
<WORD coords="1425,1882,1442,1853,1877">,</WORD>
<WORD coords="1496,1868,1563,1830,1868">es</WORD>
<WORD coords="1641,1874,1930,1815,1870">evidente</WORD>
<WORD coords="2010,1892,2131,1838,1873">que</WORD>
<WORD coords="2185,1876,2236,1820,1875">si</WORD>
<WORD coords="2294,1878,2336,1825,1878">4</WORD>
<WORD coords="2387,1881,2465,1823,1879">de</WORD>
<WORD coords="2522,1884,2675,1828,1882">ellos</WORD>
<WORD coords="2727,1907,3014,1830,1885">trabajan</WORD>
</LINE>
<LINE>
<WORD coords="647,1959,724,1906,1965">16</WORD>
<WORD coords="781,1982,1001,1925,1962">varas,</WORD>
<WORD coords="1056,1989,1432,1912,1972">duplicando</WORD>
<WORD coords="1489,1977,1562,1937,1977">su</WORD>
<WORD coords="1620,1979,1879,1940,1977">numero</WORD>
<WORD coords="1914,1992,1931,1965,1985">,</WORD>
<WORD coords="1963,1979,2026,1943,1979">se</WORD>
<WORD coords="2093,2000,2412,1925,1983">duplicará</WORD>
<WORD coords="2475,1988,2529,1932,1987">la</WORD>
<WORD coords="2587,1991,2733,1934,1989">obra</WORD>
<WORD coords="2770,2007,2784,1981,2007">,</WORD>
<WORD coords="2828,2011,2867,1955,2008">y</WORD>
<WORD coords="2899,2006,3012,1950,1989">por</WORD>
</LINE>
<LINE>
<WORD coords="639,2102,1070,2014,2072">consiguiente</WORD>
<WORD coords="1128,2081,1173,2032,2083">8:</WORD>
<WORD coords="1204,2104,1515,2025,2082">tejedores</WORD>
<WORD coords="1572,2104,1696,2049,2087">que</WORD>
<WORD coords="1757,2085,1865,2050,2085">son</WORD>
<WORD coords="1927,2089,1997,2051,2088">su</WORD>
<WORD coords="2046,2109,2238,2033,2092">duplo</WORD>
<WORD coords="2234,2067,2237,2016,2067">1</WORD>
<WORD coords="2272,2112,2291,2082,2111">.</WORD>
<WORD coords="2319,2120,2659,2041,2096">trabajarán</WORD>
<WORD coords="2716,2097,2771,2041,2097">el</WORD>
<WORD coords="2830,2099,3020,2040,2097">doble</WORD>
</LINE>
<LINE>
<WORD coords="641,2177,722,2119,2177">de</WORD>
<WORD coords="786,2180,860,2128,2184">16</WORD>
<WORD coords="918,2202,1037,2147,2185">que</WORD>
<WORD coords="1094,2186,1161,2149,2186">es</WORD>
<WORD coords="1215,2190,1294,2138,2190">32</WORD>
<WORD coords="1348,2193,1527,2153,2190">varas</WORD>
<WORD coords="1554,2193,1573,2157,2194">;</WORD>
<WORD coords="1611,2193,1684,2144,2193">12</WORD>
<WORD coords="1737,2215,2052,2138,2193">tejedores</WORD>
<WORD coords="2109,2217,2228,2161,2200">que</WORD>
<WORD coords="2279,2202,2389,2164,2200">son</WORD>
<WORD coords="2449,2206,2521,2166,2205">su</WORD>
<WORD coords="2576,2220,2759,2146,2201">triplo</WORD>
<WORD coords="2797,2215,2813,2189,2208">,</WORD>
<WORD coords="2884,2202,3013,2154,2201">tra*-</WORD>
</LINE>
<LINE>
<WORD coords="652,2308,905,2223,2284">bajaran</WORD>
<WORD coords="961,2288,996,2240,2294">3</WORD>
<WORD coords="1045,2295,1228,2251,2292">veces</WORD>
<WORD coords="1290,2298,1364,2243,2298">16</WORD>
<WORD coords="1421,2298,1460,2242,2299">ó</WORD>
<WORD coords="1517,2307,1597,2247,2303">4,8</WORD>
<WORD coords="1654,2318,1878,2262,2298">varas;</WORD>
<WORD coords="1935,2320,2045,2263,2302">por</WORD>
<WORD coords="2096,2303,2151,2249,2302">el</WORD>
<WORD coords="2218,2326,2562,2253,2306">contrario,</WORD>
<WORD coords="2607,2308,2642,2261,2308">2</WORD>
<WORD coords="2678,2327,3016,2250,2305">tejedores,</WORD>
</LINE>
<LINE>
<WORD coords="639,2408,761,2353,2391">que</WORD>
<WORD coords="819,2394,929,2357,2393">son</WORD>
<WORD coords="982,2398,1035,2342,2396">la</WORD>
<WORD coords="1092,2401,1282,2342,2399">mitad</WORD>
<WORD coords="1335,2404,1412,2346,2403">de</WORD>
<WORD coords="1470,2405,1560,2347,2404">los</WORD>
<WORD coords="1620,2406,1662,2354,2406">4</WORD>
<WORD coords="1692,2420,1707,2393,2420">,</WORD>
<WORD coords="1761,2429,1993,2351,2407">tejerán</WORD>
<WORD coords="2047,2409,2101,2354,2408">la</WORD>
<WORD coords="2150,2412,2341,2355,2410">mitad</WORD>
<WORD coords="2390,2414,2467,2358,2413">de</WORD>
<WORD coords="2528,2414,2582,2360,2414">la</WORD>
<WORD coords="2615,2414,2759,2358,2413">obra</WORD>
<WORD coords="2796,2431,2814,2401,2421">,</WORD>
<WORD coords="2852,2412,2880,2358,2412">á</WORD>
<WORD coords="2912,2415,3008,2373,2412">sa-</WORD>
</LINE>
<LINE>
<WORD coords="638,2498,752,2439,2498">ber</WORD>
<WORD coords="804,2502,840,2452,2507">8</WORD>
<WORD coords="893,2510,1116,2465,2502">varas;</WORD>
<WORD coords="1165,2507,1246,2469,2507">un</WORD>
<WORD coords="1300,2530,1592,2453,2509">tejedor,</WORD>
<WORD coords="1648,2531,1766,2475,2511">que</WORD>
<WORD coords="1827,2515,1891,2478,2514">es</WORD>
<WORD coords="1948,2512,1998,2459,2512">la</WORD>
<WORD coords="2048,2517,2256,2472,2515">cuarta</WORD>
<WORD coords="2310,2534,2483,2475,2518">parte</WORD>
<WORD coords="2539,2524,2750,2466,2520">délos</WORD>
<WORD coords="2805,2528,2880,2472,2523">4,</WORD>
<WORD coords="2913,2522,3002,2480,2521">te-</WORD>
</LINE>
<LINE>
<WORD coords="632,2626,773,2545,2605">jera</WORD>
<WORD coords="820,2610,879,2551,2608">la</WORD>
<WORD coords="923,2609,965,2559,2614">4</WORD>
<WORD coords="1011,2591,1047,2557,2605">^</WORD>
<WORD coords="1096,2630,1265,2568,2612">parte</WORD>
<WORD coords="1325,2616,1403,2558,2616">de</WORD>
<WORD coords="1462,2617,1535,2563,2617">16</WORD>
<WORD coords="1558,2631,1574,2604,2631">,</WORD>
<WORD coords="1601,2637,1719,2580,2619">que</WORD>
<WORD coords="1782,2620,1845,2582,2618">es</WORD>
<WORD coords="1896,2619,1935,2568,2619">4</WORD>
<WORD coords="1993,2621,2188,2583,2619">varas.</WORD>
<WORD coords="2241,2645,2463,2566,2623">Luego</WORD>
<WORD coords="2510,2626,2584,2590,2625">en</WORD>
<WORD coords="2641,2628,2768,2585,2627">esta</WORD>
<WORD coords="2824,2626,3001,2590,2625">cues-</WORD>
</LINE>
<LINE>
<WORD coords="645,2716,776,2660,2715">tión</WORD>
<WORD coords="825,2737,866,2681,2731">y</WORD>
<WORD coords="923,2720,1028,2682,2718">sus</WORD>
<WORD coords="1088,2744,1458,2667,2721">semejantes</WORD>
<WORD coords="1512,2726,1789,2681,2724">tenemos</WORD>
<WORD coords="1819,2744,1835,2715,2744">,</WORD>
<WORD coords="1898,2748,2016,2693,2728">que</WORD>
<WORD coords="2069,2730,2125,2675,2729">el</WORD>
<WORD coords="2190,2732,2449,2695,2731">numero</WORD>
<WORD coords="2506,2734,2583,2678,2734">de</WORD>
<WORD coords="2640,2733,2820,2695,2731">veces</WORD>
<WORD coords="2880,2746,3003,2693,2733">que</WORD>
</LINE>
<LINE>
<WORD coords="644,2823,702,2765,2822">Ta</WORD>
<WORD coords="749,2826,870,2787,2825">una</WORD>
<WORD coords="924,2829,1112,2790,2827">causa</WORD>
<WORD coords="1174,2829,1236,2793,2829">es</WORD>
<WORD coords="1291,2850,1513,2793,2831">mayor</WORD>
<WORD coords="1557,2831,1594,2777,2832">ó</WORD>
<WORD coords="1656,2836,1869,2796,2833">menor</WORD>
<WORD coords="1925,2853,2045,2801,2839">que</WORD>
<WORD coords="2104,2836,2157,2783,2836">la</WORD>
<WORD coords="2203,2838,2334,2794,2837">otra</WORD>
<WORD coords="2364,2851,2380,2828,2845">,</WORD>
<WORD coords="2435,2840,2498,2803,2840">es</WORD>
<WORD coords="2561,2859,2725,2782,2837">igual</WORD>
<WORD coords="2782,2837,2834,2781,2836">al</WORD>
<WORD coords="2889,2836,3003,2795,2835">nu-</WORD>
</LINE>
<LINE>
<WORD coords="642,2934,819,2889,2931">mero</WORD>
<WORD coords="879,2932,956,2875,2932">de</WORD>
<WORD coords="1018,2934,1198,2895,2932">veces</WORD>
<WORD coords="1255,2953,1373,2898,2935">que</WORD>
<WORD coords="1431,2935,1483,2881,2934">el</WORD>
<WORD coords="1537,2938,1735,2880,2937">efecto</WORD>
<WORD coords="1800,2958,2149,2886,2941">producido</WORD>
<WORD coords="2209,2963,2317,2908,2943">por</WORD>
<WORD coords="2365,2944,2416,2891,2943">la</WORD>
<WORD coords="2478,2964,2742,2906,2944">prrmera</WORD>
<WORD coords="2777,2943,2842,2906,2942">es</WORD>
<WORD coords="2878,2948,3007,2908,2947">ma-</WORD>
</LINE>
<LINE>
<WORD coords="632,3054,749,2996,3036">yor</WORD>
<WORD coords="808,3044,847,3001,3044">o</WORD>
<WORD coords="900,3040,1113,3002,3038">menor</WORD>
<WORD coords="1171,3059,1290,3004,3042">que</WORD>
<WORD coords="1342,3043,1399,2985,3042">el</WORD>
<WORD coords="1459,3044,1659,2986,3043">efecto</WORD>
<WORD coords="1725,3062,2070,2992,3047">producido</WORD>
<WORD coords="2131,3068,2240,3012,3050">por</WORD>
<WORD coords="2288,3051,2341,2992,3050">la</WORD>
<WORD coords="2405,3074,2703,2999,3052">segunda.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="892,3147,1109,3086,3146">Como</WORD>
<WORD coords="1165,3148,1221,3092,3147">la</WORD>
<WORD coords="1278,3151,1554,3092,3149">división</WORD>
<WORD coords="1619,3152,1694,3095,3152">de</WORD>
<WORD coords="1739,3154,1821,3116,3153">un</WORD>
<WORD coords="1872,3156,2130,3116,3153">numero</WORD>
<WORD coords="2189,3174,2299,3119,3154">por</WORD>
<WORD coords="2358,3160,2492,3114,3157">otro</WORD>
<WORD coords="2526,3164,2736,3108,3160">señala</WORD>
<WORD coords="2778,3161,2866,3103,3160">las</WORD>
<WORD coords="2901,3163,3007,3122,3161">ve-</WORD>
</LINE>
<LINE>
<WORD coords="637,3251,742,3213,3251">ces</WORD>
<WORD coords="790,3271,908,3214,3252">que</WORD>
<WORD coords="964,3252,1019,3198,3252">ei</WORD>
<WORD coords="1077,3258,1418,3196,3254">dividendo</WORD>
<WORD coords="1477,3258,1542,3220,3258">es</WORD>
<WORD coords="1598,3280,1815,3222,3258">mayor</WORD>
<WORD coords="1871,3259,1907,3206,3259">6</WORD>
<WORD coords="1977,3264,2190,3224,3261">menor</WORD>
<WORD coords="2245,3281,2363,3227,3263">que</WORD>
<WORD coords="2443,3264,2498,3211,3264">el</WORD>
<WORD coords="2553,3268,2794,3212,3266">divisor</WORD>
<WORD coords="2905,3266,3002,3229,3265">se-</WORD>
</LINE>
<LINE>
<WORD coords="640,3380,766,3316,3357">gún</WORD>
<WORD coords="821,3360,925,3321,3358">sea</WORD>
<WORD coords="986,3361,1042,3303,3360">el</WORD>
<WORD coords="1099,3381,1416,3306,3363">quebrado</WORD>
<WORD coords="1470,3385,1779,3306,3365">impropio</WORD>
<WORD coords="1838,3371,1887,3309,3370">ó,</WORD>
<WORD coords="1935,3386,2151,3313,3366">propio</WORD>
<WORD coords="2181,3377,2205,3336,3374">;,</WORD>
<WORD coords="2231,3370,2293,3333,3370">se</WORD>
<WORD coords="2342,3392,2517,3314,3370">sigue</WORD>
<WORD coords="2578,3397,2698,3342,3378">que</WORD>
<WORD coords="2743,3376,2776,3329,3376">8</WORD>
<WORD coords="2812,3382,2859,3330,3375">f.</WORD>
<WORD coords="2896,3377,2999,3338,3375">se*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2762,3479,2802,3433,3479">4</WORD>
<WORD coords="2827,3482,2874,3434,3480">í.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="642,3549,711,3507,3547">ra</WORD>
<WORD coords="771,3547,826,3491,3546">el</WORD>
<WORD coords="877,3549,1137,3509,3548">numero</WORD>
<WORD coords="1192,3550,1270,3493,3550">de</WORD>
<WORD coords="1330,3553,1510,3511,3551">veces</WORD>
<WORD coords="1561,3572,1679,3516,3553">que</WORD>
<WORD coords="1750,3555,1784,3505,3555">8</WORD>
<WORD coords="1823,3577,2137,3498,3554">tejedores</WORD>
<WORD coords="2193,3557,2260,3521,3556">es</WORD>
<WORD coords="2305,3579,2521,3520,3557">mayor</WORD>
<WORD coords="2569,3579,2689,3521,3557">que</WORD>
<WORD coords="2747,3559,2799,3512,3550">4*</WORD>
<WORD coords="2842,3581,2995,3504,3559">teje-</WORD>
</LINE>
<LINE>
<WORD coords="647,3655,833,3598,3654">dores</WORD>
<WORD coords="867,3668,883,3641,3668">,</WORD>
<WORD coords="913,3674,953,3618,3674">y</WORD>
<WORD coords="1014,3680,1354,3600,3656">(llamando</WORD>
<WORD coords="1406,3657,1452,3621,3657">x</WORD>
<WORD coords="1507,3659,1563,3604,3659">el</WORD>
<WORD coords="1605,3663,1863,3621,3661">numero</WORD>
<WORD coords="1913,3662,1990,3606,3662">de</WORD>
<WORD coords="2052,3665,2228,3625,3663">varas</WORD>
<WORD coords="2279,3683,2395,3618,3666">qué</WORD>
<WORD coords="2453,3668,2517,3629,3666">6e</WORD>
<WORD coords="2566,3681,2786,3609,3665">busca)</WORD>
<WORD coords="2821,3681,2973,3628,3668">,,¿w.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="642,3849,779,3808,3846">sera</WORD>
<WORD coords="823,3846,878,3789,3845">el</WORD>
<WORD coords="921,3846,1180,3806,3845">numero</WORD>
<WORD coords="1228,3846,1306,3791,3846">de</WORD>
<WORD coords="1354,3853,1534,3810,3849">veces</WORD>
<WORD coords="1570,3869,1690,3813,3851">que</WORD>
<WORD coords="1734,3851,1792,3794,3850">el</WORD>
<WORD coords="1835,3853,2036,3793,3851">efecto</WORD>
<WORD coords="2085,3852,2363,3795,3851">buscado</WORD>
<WORD coords="2407,3852,2472,3814,3851">es</WORD>
<WORD coords="2512,3872,2728,3815,3851">mayor</WORD>
<WORD coords="2784,3872,2900,3818,3854">que</WORD>
<WORD coords="2950,3859,3009,3800,3857">el</WORD>
</LINE>
<LINE>
<WORD coords="641,3955,844,3895,3952">efecto</WORD>
<WORD coords="870,3953,1170,3896,3951">conocido</WORD>
<WORD coords="1202,3953,1273,3901,3953">16</WORD>
<WORD coords="1302,3961,1504,3916,3953">varas;</WORD>
<WORD coords="1544,3973,1584,3917,3966">y</WORD>
<WORD coords="1615,3959,1796,3918,3956">como</WORD>
<WORD coords="1826,3957,1988,3912,3956">estos</WORD>
<WORD coords="2022,3959,2318,3919,3957">números</WORD>
<WORD coords="2344,3958,2453,3921,3957">son</WORD>
<WORD coords="2484,3978,2739,3902,3956">iguales,</WORD>
<WORD coords="2765,3958,3019,3902,3956">tendré»</WORD>
</LINE>
<LINE>
<WORD coords="646,4069,791,4023,4063">(oiosi</WORD>
<WORD coords="852,4063,910,4005,4062">la</WORD>
<WORD coords="960,4063,1255,4005,4062">ecuación</WORD>
<WORD coords="1324,4060,1355,4013,4063">3</WORD>
<WORD coords="1392,4061,1413,4017,4061">t</WORD>
<WORD coords="1437,4063,1449,4049,4064">.</WORD>
<WORD coords="1509,4049,1590,4032,4048">—</WORD>
<WORD coords="1592,4047,1613,4033,4066">-</WORD>
<WORD coords="1671,4063,1715,4027,4063">x</WORD>
<WORD coords="1739,4063,1770,4028,4063">v</WORD>
<WORD coords="1804,4076,1819,4032,4076">;</WORD>
<WORD coords="1869,4086,2014,4028,4066">pero</WORD>
<WORD coords="2062,4070,2125,4009,4068">la</WORD>
<WORD coords="2181,4090,2478,4009,4069">igualdad</WORD>
<WORD coords="2530,4069,2608,4011,4068">de</WORD>
<WORD coords="2665,4073,3012,4008,4068">divisiones</WORD>
</LINE>
<LINE>
<WORD coords="1310,4175,1355,4118,4175">4</WORD>
<WORD coords="1376,4174,1429,4117,4174">1.</WORD>
<WORD coords="1655,4177,1859,4094,4173">\tv7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0136.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0137.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0137.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1308,584,1528,490,584">12T</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="242,693,301,634,692">io</WORD>
<WORD coords="312,691,347,633,691">d</WORD>
<WORD coords="357,691,447,636,690">ka</WORD>
<WORD coords="455,692,572,634,691">das-</WORD>
<WORD coords="626,695,689,656,693">e9</WORD>
<WORD coords="772,695,889,657,694">una</WORD>
<WORD coords="942,712,1310,640,693">proporción</WORD>
<WORD coords="1338,698,1351,663,699">:</WORD>
<WORD coords="1399,720,1583,648,698">luego</WORD>
<WORD coords="1647,700,1698,647,700">la</WORD>
<WORD coords="1756,702,2058,647,701">ecuación-</WORD>
<WORD coords="2131,708,2264,663,705">ante</WORD>
<WORD coords="2306,710,2398,653,708">ior</WORD>
<WORD coords="2472,718,2608,677,713">°&quot;rrj</WORD>
</LINE>
<LINE>
<WORD coords="246,798,303,738,798">h</WORD>
<WORD coords="347,816,710,744,797">proporción</WORD>
<WORD coords="759,800,792,752,803">8</WORD>
<WORD coords="820,800,844,756,800">t</WORD>
<WORD coords="876,801,889,786,803">.</WORD>
<WORD coords="925,800,937,765,803">:</WORD>
<WORD coords="987,801,1026,751,802">4,</WORD>
<WORD coords="1055,800,1078,755,800">t</WORD>
<WORD coords="1110,802,1125,786,804">.</WORD>
<WORD coords="1286,802,1327,767,802">x</WORD>
<WORD coords="1355,804,1411,768,802">v.</WORD>
<WORD coords="1471,804,1484,771,805">:</WORD>
<WORD coords="1539,806,1608,754,805">16</WORD>
<WORD coords="1657,808,1692,772,808">v</WORD>
<WORD coords="1773,832,1906,751,812">(A)</WORD>
<WORD coords="1936,827,1951,798,817">,</WORD>
<WORD coords="1998,808,2070,774,808">en</WORD>
<WORD coords="2132,811,2185,757,810">la</WORD>
<WORD coords="2235,834,2349,777,816">que</WORD>
<WORD coords="2400,823,2507,781,820">nos</WORD>
<WORD coords="2538,829,2605,786,827">ea</WORD>
</LINE>
<LINE>
<WORD coords="245,908,389,847,903">f*cil</WORD>
<WORD coords="437,904,633,847,902">hallar</WORD>
<WORD coords="677,904,729,849,903">el</WORD>
<WORD coords="785,906,991,849,904">medio</WORD>
<WORD coords="1042,910,1089,874,910">x</WORD>
<WORD coords="1125,917,1139,893,917">,</WORD>
<WORD coords="1181,926,1655,853,907">multiplicando</WORD>
<WORD coords="1711,913,1798,863,912">los</WORD>
<WORD coords="1858,917,2158,871,914">estremos</WORD>
<WORD coords="2218,920,2290,870,919">16</WORD>
<WORD coords="2346,941,2383,887,933">y</WORD>
<WORD coords="2434,925,2464,878,925">8</WORD>
<WORD coords="2502,940,2516,914,940">,</WORD>
<WORD coords="2562,947,2602,895,947">y</WORD>
</LINE>
<LINE>
<WORD coords="243,1030,570,954,1008">partiendo</WORD>
<WORD coords="625,1008,680,956,1008">el</WORD>
<WORD coords="737,1028,1041,956,1010">producto</WORD>
<WORD coords="1091,1013,1205,963,1013">128</WORD>
<WORD coords="1262,1032,1371,975,1013">por</WORD>
<WORD coords="1415,1014,1470,960,1013">el</WORD>
<WORD coords="1517,1018,1655,974,1015">otro</WORD>
<WORD coords="1725,1021,1935,964,1019">medio</WORD>
<WORD coords="1978,1022,2017,972,1022">4</WORD>
<WORD coords="2049,1036,2065,1011,1028">,</WORD>
<WORD coords="2128,1021,2184,970,1021">lo</WORD>
<WORD coords="2238,1044,2354,992,1026">que</WORD>
<WORD coords="2404,1030,2479,977,1029">da</WORD>
<WORD coords="2524,1038,2602,986,1038">3Z</WORD>
</LINE>
<LINE>
<WORD coords="240,1124,420,1077,1115">Varas</WORD>
<WORD coords="475,1116,731,1078,1114">numero</WORD>
<WORD coords="781,1135,1031,1059,1115">pedido.</WORD>
<WORD coords="1122,1116,1216,1059,1116">La</WORD>
<WORD coords="1268,1121,1489,1063,1118">misma</WORD>
<WORD coords="1544,1139,1910,1068,1120">proporción</WORD>
<WORD coords="1963,1126,2073,1088,1124">nos</WORD>
<WORD coords="2122,1154,2498,1076,1133">resultaría,</WORD>
<WORD coords="2548,1140,2604,1081,1138">si</WORD>
</LINE>
<LINE>
<WORD coords="239,1222,636,1161,1220">hubiéramos</WORD>
<WORD coords="690,1224,979,1167,1222">dividido</WORD>
<WORD coords="1031,1224,1084,1169,1222">el</WORD>
<WORD coords="1142,1225,1406,1187,1223">numero</WORD>
<WORD coords="1465,1226,1678,1189,1224">menor</WORD>
<WORD coords="1737,1227,1813,1172,1227">de</WORD>
<WORD coords="1893,1251,2208,1175,1230">tejedores</WORD>
<WORD coords="2260,1237,2300,1189,1237">4</WORD>
<WORD coords="2377,1258,2484,1205,1237">por</WORD>
<WORD coords="2540,1247,2601,1190,1245">el</WORD>
</LINE>
<LINE>
<WORD coords="238,1348,454,1289,1326">mayor</WORD>
<WORD coords="508,1329,541,1280,1331">8</WORD>
<WORD coords="577,1343,591,1317,1343">,</WORD>
<WORD coords="651,1349,690,1293,1341">y</WORD>
<WORD coords="739,1331,803,1277,1330">el</WORD>
<WORD coords="842,1331,1102,1293,1330">numero</WORD>
<WORD coords="1166,1333,1379,1294,1330">menor</WORD>
<WORD coords="1439,1333,1514,1278,1332">de</WORD>
<WORD coords="1572,1338,1748,1297,1334">varas</WORD>
<WORD coords="1805,1337,1879,1285,1336">16</WORD>
<WORD coords="1938,1354,2044,1302,1336">por</WORD>
<WORD coords="2092,1339,2145,1285,1338">el</WORD>
<WORD coords="2193,1362,2405,1304,1339">mayor</WORD>
<WORD coords="2448,1345,2512,1310,1345">x.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="279,1453,289,1419,1453">k</WORD>
<WORD coords="323,1435,459,1382,1434">1T4.</WORD>
<WORD coords="553,1436,814,1378,1434">Cuando</WORD>
<WORD coords="872,1437,989,1398,1436">una</WORD>
<WORD coords="1042,1437,1320,1382,1435">cuestión</WORD>
<WORD coords="1349,1452,1365,1424,1446">,</WORD>
<WORD coords="1395,1438,1573,1400,1437">como</WORD>
<WORD coords="1622,1439,1675,1384,1438">la</WORD>
<WORD coords="1711,1442,1983,1386,1440">acabada</WORD>
<WORD coords="2042,1443,2117,1389,1443">de</WORD>
<WORD coords="2166,1444,2230,1407,1443">es</WORD>
<WORD coords="2241,1461,2270,1422,1461">P</WORD>
<WORD coords="2280,1447,2431,1409,1445">oner</WORD>
<WORD coords="2462,1463,2478,1437,1458">,</WORD>
<WORD coords="2532,1454,2601,1416,1451">se</WORD>
</LINE>
<LINE>
<WORD coords="234,1543,525,1486,1540">resuelve</WORD>
<WORD coords="586,1559,697,1504,1538">por</WORD>
<WORD coords="753,1542,963,1486,1541">medio</WORD>
<WORD coords="1023,1542,1099,1487,1541">de</WORD>
<WORD coords="1157,1543,1276,1506,1542">una</WORD>
<WORD coords="1329,1562,1697,1488,1541">proporción</WORD>
<WORD coords="1731,1561,1746,1534,1553">,</WORD>
<WORD coords="1780,1546,1844,1509,1545">se</WORD>
<WORD coords="1889,1546,2027,1490,1546">dice</WORD>
<WORD coords="2087,1566,2205,1512,1549">que</WORD>
<WORD coords="2260,1551,2325,1517,1549">se</WORD>
<WORD coords="2502,1557,2599,1519,1555">re-</WORD>
</LINE>
<LINE>
<WORD coords="231,1649,430,1601,1647">suelto</WORD>
<WORD coords="479,1666,587,1610,1645">por</WORD>
<WORD coords="634,1668,809,1597,1646">regla</WORD>
<WORD coords="859,1649,934,1594,1648">de</WORD>
<WORD coords="992,1649,1116,1605,1648">tres</WORD>
<WORD coords="1152,1663,1176,1618,1663">;</WORD>
<WORD coords="1203,1669,1313,1613,1648">por</WORD>
<WORD coords="1346,1652,1592,1614,1650">manera</WORD>
<WORD coords="1649,1671,1765,1617,1653">que</WORD>
<WORD coords="1798,1675,1995,1598,1653">R*&gt;gla</WORD>
<WORD coords="2044,1655,2113,1599,1654">de</WORD>
<WORD coords="2150,1655,2273,1611,1651">tres</WORD>
<WORD coords="2306,1655,2365,1620,1654">es</WORD>
<WORD coords="2398,1683,2601,1607,1660">aquel-</WORD>
</LINE>
<LINE>
<WORD coords="231,1757,291,1700,1756">la</WORD>
<WORD coords="342,1776,457,1716,1753">que</WORD>
<WORD coords="523,1756,749,1695,1755">enseña</WORD>
<WORD coords="776,1757,817,1720,1757">a</WORD>
<WORD coords="871,1775,1156,1700,1754">disponer</WORD>
<WORD coords="1213,1756,1285,1719,1755">en</WORD>
<WORD coords="1337,1781,1710,1702,1757">proporción</WORD>
<WORD coords="1753,1779,2128,1706,1759">geométrica</WORD>
<WORD coords="2183,1762,2393,1715,1758">cuatro</WORD>
<WORD coords="2449,1769,2593,1727,1766">can*</WORD>
</LINE>
<LINE>
<WORD coords="230,1863,463,1805,1860">tidades</WORD>
<WORD coords="500,1876,518,1850,1876">y</WORD>
<WORD coords="574,1861,646,1808,1861">de</WORD>
<WORD coords="688,1863,778,1813,1862">las</WORD>
<WORD coords="836,1886,949,1825,1862">que</WORD>
<WORD coords="1011,1863,1136,1817,1861">tres</WORD>
<WORD coords="1185,1864,1296,1827,1863">son</WORD>
<WORD coords="1370,1866,1687,1809,1863">conocidas</WORD>
<WORD coords="1740,1884,1782,1827,1875">y</WORD>
<WORD coords="1852,1866,1990,1819,1864">otra</WORD>
<WORD coords="2057,1885,2379,1811,1866">incógnita</WORD>
<WORD coords="2498,1874,2601,1819,1872">ha</WORD>
</LINE>
<LINE>
<WORD coords="230,1973,288,1913,1972">la</WORD>
<WORD coords="349,1971,630,1913,1968">cuestión</WORD>
<WORD coords="684,1988,1016,1926,1969">propuesta</WORD>
<WORD coords="1078,1971,1247,1926,1969">antes</WORD>
<WORD coords="1305,1971,1369,1935,1970">se</WORD>
<WORD coords="1412,1970,1532,1914,1968">han</WORD>
<WORD coords="1585,1971,1752,1913,1969">dado</WORD>
<WORD coords="1800,1973,1924,1928,1971">tres</WORD>
<WORD coords="1986,1976,2352,1919,1972">cantidades</WORD>
<WORD coords="2407,1981,2598,1943,1979">cono-</WORD>
</LINE>
<LINE>
<WORD coords="229,2081,402,2024,2078">cidas</WORD>
<WORD coords="438,2097,458,2065,2097">9</WORD>
<WORD coords="509,2096,630,2041,2078">que</WORD>
<WORD coords="682,2078,795,2039,2078">son</WORD>
<WORD coords="852,2079,894,2028,2079">4</WORD>
<WORD coords="950,2100,1263,2022,2077">tejedores</WORD>
<WORD coords="1295,2093,1310,2068,2086">,</WORD>
<WORD coords="1358,2080,1431,2027,2079">16</WORD>
<WORD coords="1488,2079,1674,2039,2077">varas.</WORD>
<WORD coords="1700,2093,1715,2067,2093">,</WORD>
<WORD coords="1756,2100,1797,2043,2090">y</WORD>
<WORD coords="1849,2079,1884,2031,2079">8</WORD>
<WORD coords="1932,2103,2249,2025,2080">tejedores</WORD>
<WORD coords="2283,2104,2307,2071,2104">f</WORD>
<WORD coords="2341,2107,2381,2049,2097">y</WORD>
<WORD coords="2416,2087,2471,2034,2086">la</WORD>
<WORD coords="2505,2088,2601,2051,2087">in-</WORD>
</LINE>
<LINE>
<WORD coords="231,2208,478,2128,2184">cógnita</WORD>
<WORD coords="514,2197,531,2172,2197">,</WORD>
<WORD coords="591,2202,710,2147,2185">que</WORD>
<WORD coords="767,2184,878,2148,2183">son</WORD>
<WORD coords="939,2183,1032,2127,2182">las</WORD>
<WORD coords="1088,2186,1262,2146,2183">varas</WORD>
<WORD coords="1316,2205,1436,2148,2185">que</WORD>
<WORD coords="1492,2185,1555,2149,2185">se</WORD>
<WORD coords="1614,2190,1869,2129,2184">buscan.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="485,2290,582,2232,2289">De</WORD>
<WORD coords="642,2288,730,2234,2288">las</WORD>
<WORD coords="785,2293,1147,2232,2288">cantidades</WORD>
<WORD coords="1195,2307,1314,2254,2291">que</WORD>
<WORD coords="1373,2291,1580,2247,2289">entran</WORD>
<WORD coords="1636,2290,1710,2253,2290">en</WORD>
<WORD coords="1763,2291,1817,2235,2290">la</WORD>
<WORD coords="1882,2312,2054,2235,2290">regla</WORD>
<WORD coords="2114,2293,2189,2236,2292">de</WORD>
<WORD coords="2268,2295,2393,2249,2294">tres</WORD>
<WORD coords="2416,2312,2438,2285,2312">t</WORD>
<WORD coords="2484,2301,2600,2242,2299">dos</WORD>
</LINE>
<LINE>
<WORD coords="235,2397,345,2357,2396">son</WORD>
<WORD coords="403,2413,823,2338,2393">homogéneas</WORD>
<WORD coords="878,2395,915,2360,2395">o</WORD>
<WORD coords="971,2395,1048,2340,2395">de</WORD>
<WORD coords="1100,2396,1217,2359,2395">una</WORD>
<WORD coords="1265,2397,1488,2340,2396">misma</WORD>
<WORD coords="1545,2415,1788,2340,2396">especie</WORD>
<WORD coords="1822,2412,1838,2386,2412">,</WORD>
<WORD coords="1875,2416,1913,2360,2407">y</WORD>
<WORD coords="1959,2398,2124,2352,2396">otras</WORD>
<WORD coords="2163,2399,2285,2342,2397">dos-</WORD>
<WORD coords="2329,2402,2406,2345,2402">de</WORD>
<WORD coords="2465,2405,2603,2360,2403">otra</WORD>
</LINE>
<LINE>
<WORD coords="235,2502,459,2445,2499">misma</WORD>
<WORD coords="514,2519,756,2447,2499">especie</WORD>
<WORD coords="792,2514,810,2468,2508">;</WORD>
<WORD coords="855,2500,943,2445,2499">asi</WORD>
<WORD coords="1004,2501,1076,2466,2501">en</WORD>
<WORD coords="1137,2502,1319,2443,2500">dicha</WORD>
<WORD coords="1402,2504,1680,2445,2502">cuestión</WORD>
<WORD coords="1733,2503,1776,2451,2503">4</WORD>
<WORD coords="1844,2524,2153,2446,2502">tejedores</WORD>
<WORD coords="2199,2525,2236,2468,2515">y</WORD>
<WORD coords="2270,2505,2302,2458,2505">8</WORD>
<WORD coords="2359,2529,2596,2452,2507">tejedo»</WORD>
</LINE>
<LINE>
<WORD coords="226,2606,326,2564,2604">res</WORD>
<WORD coords="411,2605,523,2568,2604">son</WORD>
<WORD coords="606,2609,896,2569,2607">números</WORD>
<WORD coords="956,2610,1032,2553,2609">de</WORD>
<WORD coords="1092,2609,1149,2551,2608">la</WORD>
<WORD coords="1186,2610,1301,2554,2605">1.,.*</WORD>
<WORD coords="1353,2627,1593,2553,2609">especie</WORD>
<WORD coords="1631,2612,1651,2578,2611">;</WORD>
<WORD coords="1718,2610,1793,2558,2610">16</WORD>
<WORD coords="1844,2613,2022,2574,2611">varas</WORD>
<WORD coords="2078,2632,2119,2574,2622">y</WORD>
<WORD coords="2172,2613,2220,2574,2613">x</WORD>
<WORD coords="2276,2615,2451,2575,2613">varas</WORD>
<WORD coords="2483,2615,2602,2577,2614">son</WORD>
</LINE>
<LINE>
<WORD coords="223,2715,315,2653,2712">los</WORD>
<WORD coords="379,2713,548,2669,2712">otros</WORD>
<WORD coords="601,2714,717,2660,2714">dos</WORD>
<WORD coords="786,2715,1078,2678,2714">números</WORD>
<WORD coords="1135,2715,1214,2659,2715">de</WORD>
<WORD coords="1273,2717,1332,2669,2717">2,</WORD>
<WORD coords="1460,2736,1736,2660,2716">especie..</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="310,2819,446,2767,2818">175.</WORD>
<WORD coords="538,2818,615,2763,2818">Se</WORD>
<WORD coords="655,2820,836,2763,2819">llama</WORD>
<WORD coords="866,2841,1039,2763,2819">regla</WORD>
<WORD coords="1111,2822,1186,2766,2821">de.</WORD>
<WORD coords="1217,2823,1343,2777,2822">tres</WORD>
<WORD coords="1373,2844,1587,2767,2822">simple</WORD>
<WORD coords="1628,2844,1874,2767,2823">aquella</WORD>
<WORD coords="1917,2825,1992,2785,2824">en</WORD>
<WORD coords="2024,2842,2143,2786,2823">que</WORD>
<WORD coords="2198,2825,2330,2768,2824">solo</WORD>
<WORD coords="2380,2829,2600,2782,2825">entran</WORD>
</LINE>
<LINE>
<WORD coords="231,2922,356,2875,2921">tres</WORD>
<WORD coords="420,2924,782,2868,2922">cantidades</WORD>
<WORD coords="842,2927,1169,2870,2925">conocidas</WORD>
<WORD coords="1206,2943,1225,2894,2943">\</WORD>
<WORD coords="1286,2951,1520,2892,2930">porque</WORD>
<WORD coords="1582,2929,1671,2874,2928">las</WORD>
<WORD coords="1719,2932,1980,2891,2929">razones</WORD>
<WORD coords="2014,2946,2043,2916,2946">y</WORD>
<WORD coords="2084,2947,2202,2893,2928">que</WORD>
<WORD coords="2251,2931,2491,2872,2929">forman</WORD>
<WORD coords="2540,2933,2600,2878,2931">la</WORD>
</LINE>
<LINE>
<WORD coords="234,3048,664,2974,3027">proporción,</WORD>
<WORD coords="719,3031,826,2995,3030">son</WORD>
<WORD coords="888,3051,1159,2978,3032">simples.</WORD>
<WORD coords="1253,3035,1330,2979,3035">Se</WORD>
<WORD coords="1407,3037,1588,2982,3035">llama</WORD>
<WORD coords="1641,3056,1821,2979,3035">regla</WORD>
<WORD coords="1886,3035,1957,2979,3034">de</WORD>
<WORD coords="2011,3035,2137,2988,3032">tres</WORD>
<WORD coords="2202,3057,2543,2989,3035">compuesta</WORD>
<WORD coords="2572,3060,2596,3028,3060">9</WORD>
</LINE>
<LINE>
<WORD coords="226,3134,468,3079,3131">cuando</WORD>
<WORD coords="512,3136,599,3080,3134">las</WORD>
<WORD coords="674,3139,1031,3082,3137">cantidades</WORD>
<WORD coords="1085,3140,1419,3084,3139">conocidas</WORD>
<WORD coords="1470,3139,1579,3103,3138">son</WORD>
<WORD coords="1627,3139,1756,3103,3138">mas</WORD>
<WORD coords="1808,3139,1885,3083,3139">de</WORD>
<WORD coords="1928,3138,2050,3094,3137">tres</WORD>
<WORD coords="2097,3155,2116,3105,3155">;</WORD>
<WORD coords="2192,3161,2429,3102,3141">porque</WORD>
<WORD coords="2483,3142,2594,3104,3142">en-</WORD>
</LINE>
<LINE>
<WORD coords="227,3239,447,3194,3236">tonces</WORD>
<WORD coords="495,3240,614,3202,3239">una</WORD>
<WORD coords="665,3241,700,3185,3242">ó</WORD>
<WORD coords="747,3243,957,3188,3242">ambas</WORD>
<WORD coords="1013,3247,1276,3208,3244">razones</WORD>
<WORD coords="1334,3247,1410,3190,3246">de</WORD>
<WORD coords="1459,3246,1515,3191,3245">la</WORD>
<WORD coords="1575,3266,1944,3189,3244">proporción</WORD>
<WORD coords="1975,3244,2096,3187,3243">han</WORD>
<WORD coords="2154,3247,2237,3191,3246">de</WORD>
<WORD coords="2286,3248,2386,3209,3247">ser</WORD>
<WORD coords="2423,3250,2594,3210,3248">com-</WORD>
</LINE>
<LINE>
<WORD coords="226,3363,477,3298,3344">puestas</WORD>
<WORD coords="512,3360,527,3334,3354">,</WORD>
<WORD coords="588,3348,768,3308,3346">como</WORD>
<WORD coords="821,3370,1090,3292,3349">después</WORD>
<WORD coords="1144,3354,1447,3315,3351">veremos*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="478,3452,634,3396,3450">Para</WORD>
<WORD coords="686,3473,807,3416,3454">que</WORD>
<WORD coords="865,3456,986,3418,3455">una</WORD>
<WORD coords="1037,3459,1317,3403,3456">cuestión</WORD>
<WORD coords="1366,3460,1431,3423,3459">se</WORD>
<WORD coords="1490,3477,1695,3400,3457">pueda</WORD>
<WORD coords="1750,3461,2026,3403,3458">resolver</WORD>
<WORD coords="2102,3476,2219,3419,3459">por</WORD>
<WORD coords="2288,3480,2457,3404,3459">regla</WORD>
<WORD coords="2512,3461,2590,3404,3460">de</WORD>
</LINE>
<LINE>
<WORD coords="221,3555,348,3506,3554">tres</WORD>
<WORD coords="378,3572,396,3543,3566">,</WORD>
<WORD coords="439,3557,504,3519,3556">es</WORD>
<WORD coords="557,3561,873,3504,3558">necesario</WORD>
<WORD coords="931,3563,1041,3525,3562">ver</WORD>
<WORD coords="1086,3563,1138,3509,3563">si</WORD>
<WORD coords="1190,3563,1280,3509,3562">los</WORD>
<WORD coords="1335,3565,1627,3528,3562">números</WORD>
<WORD coords="1689,3564,1885,3509,3563">dados</WORD>
<WORD coords="1940,3584,1980,3527,3574">y</WORD>
<WORD coords="2025,3565,2079,3509,3564">el</WORD>
<WORD coords="2142,3581,2260,3527,3564">que</WORD>
<WORD coords="2317,3565,2380,3524,3564">se</WORD>
<WORD coords="2436,3565,2579,3508,3564">bus.</WORD>
</LINE>
<LINE>
<WORD coords="225,3662,291,3624,3661">ca</WORD>
<WORD coords="349,3663,461,3625,3662">son</WORD>
<WORD coords="524,3683,1023,3609,3665">proporcionales</WORD>
<WORD coords="1056,3672,1083,3609,3671">¿</WORD>
<WORD coords="1130,3670,1194,3634,3669">es</WORD>
<WORD coords="1246,3671,1418,3614,3669">decir</WORD>
<WORD coords="1438,3687,1462,3651,3687">f</WORD>
<WORD coords="1464,3670,1471,3661,3670">.</WORD>
<WORD coords="1511,3670,1751,3613,3668">cuando</WORD>
<WORD coords="1812,3675,1971,3614,3671">dada</WORD>
<WORD coords="2031,3671,2149,3633,3670">una</WORD>
<WORD coords="2210,3671,2393,3634,3670">causa</WORD>
<WORD coords="2439,3691,2479,3635,3682">y</WORD>
<WORD coords="2512,3674,2584,3635,3672">su</WORD>
</LINE>
<LINE>
<WORD coords="220,3768,424,3709,3766">efecto</WORD>
<WORD coords="458,3783,474,3757,3778">,</WORD>
<WORD coords="536,3768,562,3718,3770">á</WORD>
<WORD coords="607,3790,795,3714,3771">dupla</WORD>
<WORD coords="828,3789,845,3761,3789">,</WORD>
<WORD coords="894,3793,1076,3718,3773">tripla</WORD>
<WORD coords="1127,3776,1308,3737,3774">causa</WORD>
<WORD coords="1368,3790,1779,3720,3774">corresponda</WORD>
<WORD coords="1839,3796,2030,3719,3774">duplo</WORD>
<WORD coords="2063,3794,2083,3764,3794">y</WORD>
<WORD coords="2121,3796,2305,3719,3776">triplo</WORD>
<WORD coords="2353,3789,2578,3711,3776">eíectoj</WORD>
</LINE>
<LINE>
<WORD coords="220,3874,261,3817,3877">ó</WORD>
<WORD coords="322,3873,350,3822,3876">á</WORD>
<WORD coords="416,3897,720,3821,3876">subdupla</WORD>
<WORD coords="753,3894,773,3866,3894">,</WORD>
<WORD coords="827,3894,1121,3825,3880">subtripla</WORD>
<WORD coords="1163,3883,1344,3846,3881">causa</WORD>
<WORD coords="1403,3901,1819,3828,3881">corresponda</WORD>
<WORD coords="1878,3899,2191,3827,3882">subduplo</WORD>
<WORD coords="2224,3899,2240,3873,3897">,</WORD>
<WORD coords="2273,3895,2575,3826,3880">subtríplo</WORD>
</LINE>
<LINE>
<WORD coords="224,3980,444,3920,3977">efecto.</WORD>
<WORD coords="545,3982,607,3927,3982">Si</WORD>
<WORD coords="662,3983,740,3946,3982">no</WORD>
<WORD coords="796,4005,916,3932,3984">hay</WORD>
<WORD coords="965,3991,1095,3944,3987">este</WORD>
<WORD coords="1146,3988,1434,3944,3986">aumento</WORD>
<WORD coords="1492,4007,1601,3952,3986">por</WORD>
<WORD coords="1655,3990,1752,3933,3989">via</WORD>
<WORD coords="1810,3989,1888,3934,3988">de</WORD>
<WORD coords="1951,4004,2434,3934,3987">multiplicación</WORD>
<WORD coords="2467,3996,2482,3974,3990">,</WORD>
<WORD coords="2535,3984,2573,3928,3984">6</WORD>
</LINE>
<LINE>
<WORD coords="219,4084,354,4025,4081">est-a</WORD>
<WORD coords="403,4093,790,4025,4087">diminución</WORD>
<WORD coords="843,4111,955,4053,4092">por</WORD>
<WORD coords="1025,4095,1121,4038,4093">via</WORD>
<WORD coords="1177,4096,1255,4037,4096">dé</WORD>
<WORD coords="1321,4098,1593,4037,4096">división</WORD>
<WORD coords="1628,4116,1645,4083,4116">f</WORD>
<WORD coords="1676,4098,1753,4059,4097">no</WORD>
<WORD coords="1798,4103,1993,4037,4099">habrá</WORD>
<WORD coords="2037,4118,2211,4041,4097">regla</WORD>
<WORD coords="2264,4095,2338,4039,4095">de</WORD>
<WORD coords="2398,4096,2521,4050,4094">tres</WORD>
<WORD coords="2550,4108,2569,4059,0">;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0137.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0138.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0138.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1740,554,1960,464,553">129</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="648,720,761,660,696">por</WORD>
<WORD coords="815,716,1088,638,696">ejemplo</WORD>
<WORD coords="1146,699,1277,651,697">esta</WORD>
<WORD coords="1329,698,1609,639,696">cuestión</WORD>
<WORD coords="1645,697,1657,662,697">:</WORD>
<WORD coords="1697,697,1745,642,696">si</WORD>
<WORD coords="1788,698,1867,662,697">un</WORD>
<WORD coords="1921,699,2180,640,697">hombre</WORD>
<WORD coords="2240,699,2313,659,698">en</WORD>
<WORD coords="2366,697,2446,658,697">un</WORD>
<WORD coords="2509,699,2613,642,698">día</WORD>
<WORD coords="2672,702,2825,644,700">anda</WORD>
<WORD coords="2882,703,2920,649,703">6</WORD>
</LINE>
<LINE>
<WORD coords="647,827,799,765,804">guas</WORD>
<WORD coords="836,819,851,794,819">,</WORD>
<WORD coords="901,830,919,771,817">j</WORD>
<WORD coords="954,805,1204,762,803">cuantas</WORD>
<WORD coords="1265,825,1486,752,802">leguas</WORD>
<WORD coords="1548,804,1820,747,802">andarán</WORD>
<WORD coords="1877,806,1918,756,806">4</WORD>
<WORD coords="1976,806,2270,749,804">hombres</WORD>
<WORD coords="2325,805,2402,749,804">de</WORD>
<WORD coords="2462,826,2631,750,805">igual</WORD>
<WORD coords="2690,806,2725,747,806">f</WORD>
<WORD coords="2741,809,2904,771,806">ierra</WORD>
<WORD coords="2962,811,3042,766,810">eft</WORD>
</LINE>
<LINE>
<WORD coords="652,914,707,856,911">el</WORD>
<WORD coords="791,913,1015,855,910">mismo</WORD>
<WORD coords="1077,910,1176,855,910">día</WORD>
<WORD coords="1212,909,1230,855,909">f</WORD>
<WORD coords="1290,908,1368,873,907">no</WORD>
<WORD coords="1429,926,1756,866,908">pertenece</WORD>
<WORD coords="1813,910,1840,857,910">á</WORD>
<WORD coords="1890,910,1946,856,909">la</WORD>
<WORD coords="2005,932,2173,855,909">regla</WORD>
<WORD coords="2234,913,2311,857,912">de</WORD>
<WORD coords="2354,912,2479,867,910">tres</WORD>
<WORD coords="2516,926,2533,879,926">;</WORD>
<WORD coords="2570,932,2802,875,913">porque</WORD>
<WORD coords="2835,915,2888,857,914">al</WORD>
<WORD coords="2920,916,3033,857,914">du-</WORD>
</LINE>
<LINE>
<WORD coords="652,1040,752,963,1018">plo</WORD>
<WORD coords="868,1035,1206,961,1016">cuadruplo</WORD>
<WORD coords="1263,1017,1353,959,1016">&amp;c</WORD>
<WORD coords="1413,1017,1489,961,1016">de</WORD>
<WORD coords="1549,1019,1841,960,1017">hombres</WORD>
<WORD coords="1888,1019,1967,982,1018">no</WORD>
<WORD coords="2023,1036,2436,962,1017">corresponde</WORD>
<WORD coords="2489,1020,2544,964,1019">el</WORD>
<WORD coords="2605,1037,2845,962,1018">duplo,</WORD>
<WORD coords="2894,1021,3032,979,1019">cua-</WORD>
</LINE>
<LINE>
<WORD coords="650,1136,878,1073,1125">druplo</WORD>
<WORD coords="936,1130,1033,1070,1125">&lt;&amp;c</WORD>
<WORD coords="1080,1125,1158,1069,1125">de</WORD>
<WORD coords="1202,1147,1414,1070,1125">leguas</WORD>
<WORD coords="1447,1141,1464,1113,1141">,</WORD>
<WORD coords="1515,1144,1662,1089,1126">pues</WORD>
<WORD coords="1722,1127,1893,1081,1125">tanto</WORD>
<WORD coords="1938,1128,2095,1071,1126">anda</WORD>
<WORD coords="2151,1128,2232,1087,1127">un</WORD>
<WORD coords="2283,1127,2541,1068,1126">hombre</WORD>
<WORD coords="2618,1127,2798,1085,1126">como</WORD>
<WORD coords="2844,1129,2884,1077,1129">2</WORD>
<WORD coords="2929,1143,2947,1113,1134">,</WORD>
<WORD coords="2991,1126,3044,1071,1126">#</WORD>
</LINE>
<LINE>
<WORD coords="660,1237,955,1177,1234">Hombres</WORD>
<WORD coords="1077,1234,1296,1176,1232">siendo</WORD>
<WORD coords="1368,1253,1606,1177,1231">iguales</WORD>
<WORD coords="1667,1232,1740,1196,1232">en</WORD>
<WORD coords="1787,1235,1839,1178,1233">el</WORD>
<WORD coords="1897,1235,2109,1177,1232">andar.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="754,1343,893,1291,1341">176.</WORD>
<WORD coords="981,1342,1059,1286,1341">Se</WORD>
<WORD coords="1108,1341,1293,1285,1339">llama</WORD>
<WORD coords="1358,1367,1531,1284,1339">regla</WORD>
<WORD coords="1584,1341,1657,1288,1341">de</WORD>
<WORD coords="1710,1342,1833,1291,1340">tres</WORD>
<WORD coords="1863,1344,2105,1278,1342">direcÍM</WORD>
<WORD coords="2129,1359,2148,1330,1352">,</WORD>
<WORD coords="2179,1345,2421,1284,1342">Cüatidb</WORD>
<WORD coords="2463,1341,2491,1286,1341">á</WORD>
<WORD coords="2540,1367,2826,1306,1345">mayores</WORD>
<WORD coords="2887,1343,3032,1303,1342">cau-</WORD>
</LINE>
<LINE>
<WORD coords="654,1451,754,1414,1450">sas</WORD>
<WORD coords="799,1467,1260,1390,1446">corresponden</WORD>
<WORD coords="1326,1468,1626,1409,1445">mayores</WORD>
<WORD coords="1688,1448,1926,1389,1446">efectos</WORD>
<WORD coords="1957,1465,1975,1437,1465">,</WORD>
<WORD coords="2025,1470,2071,1405,1459">y</WORD>
<WORD coords="2137,1448,2165,1395,1448">á</WORD>
<WORD coords="2212,1449,2496,1412,1448">menores</WORD>
<WORD coords="2551,1452,2770,1414,1449">caíalas</WORD>
<WORD coords="2819,1447,3033,1407,1446">meno-</WORD>
</LINE>
<LINE>
<WORD coords="651,1558,754,1521,1557">res</WORD>
<WORD coords="808,1557,1044,1499,1555">efectos</WORD>
<WORD coords="1078,1569,1095,1523,1569">;</WORD>
<WORD coords="1150,1576,1185,1518,1566">y</WORD>
<WORD coords="1246,1554,1301,1497,1553">al</WORD>
<WORD coords="1348,1555,1657,1497,1553">contrario</WORD>
<WORD coords="1691,1569,1707,1542,1562">,</WORD>
<WORD coords="1739,1554,1769,1499,1555">á</WORD>
<WORD coords="1815,1555,2097,1517,1554">menores</WORD>
<WORD coords="2164,1555,2201,1520,1555">©</WORD>
<WORD coords="2256,1576,2540,1519,1555">mayores</WORD>
<WORD coords="2598,1559,2830,1499,1557">efectos</WORD>
<WORD coords="2861,1573,2876,1545,1566">,</WORD>
<WORD coords="2906,1560,3037,1518,1559">me-</WORD>
</LINE>
<LINE>
<WORD coords="651,1665,838,1627,1663">nores</WORD>
<WORD coords="905,1661,942,1609,1661">ó</WORD>
<WORD coords="1002,1681,1283,1625,1660">mayores</WORD>
<WORD coords="1340,1663,1582,1623,1660">causas.</WORD>
<WORD coords="1675,1661,1795,1604,1660">Asi</WORD>
<WORD coords="1844,1660,1901,1605,1659">la</WORD>
<WORD coords="1974,1663,2251,1604,1661">cuestión</WORD>
<WORD coords="2304,1681,2632,1619,1661">propuesta</WORD>
<WORD coords="2692,1664,2748,1609,1663">al</WORD>
<WORD coords="2809,1683,3034,1609,1664">princi-</WORD>
</LINE>
<LINE>
<WORD coords="648,1790,752,1714,1768">pio</WORD>
<WORD coords="798,1770,863,1733,1769">es</WORD>
<WORD coords="919,1770,1160,1714,1768">directa</WORD>
<WORD coords="1193,1783,1210,1758,1783">,</WORD>
<WORD coords="1260,1787,1493,1730,1766">porque</WORD>
<WORD coords="1546,1769,1579,1714,1768">á</WORD>
<WORD coords="1662,1768,1878,1729,1766">menor</WORD>
<WORD coords="1933,1768,2199,1730,1767">numero</WORD>
<WORD coords="2286,1769,2363,1712,1767">de</WORD>
<WORD coords="2424,1790,2739,1713,1768">tejedores</WORD>
<WORD coords="2797,1771,3037,1732,1768">corres-</WORD>
</LINE>
<LINE>
<WORD coords="658,1895,861,1820,1874">ponde</WORD>
<WORD coords="918,1876,1134,1838,1874">menor</WORD>
<WORD coords="1184,1875,1445,1838,1873">numero</WORD>
<WORD coords="1503,1875,1581,1819,1873">de</WORD>
<WORD coords="1637,1875,1818,1837,1874">varas</WORD>
<WORD coords="1849,1891,1867,1863,1891">,</WORD>
<WORD coords="1921,1895,1962,1836,1885">y</WORD>
<WORD coords="2009,1874,2038,1822,1875">á</WORD>
<WORD coords="2087,1893,2304,1835,1873">mayor</WORD>
<WORD coords="2342,1877,2603,1838,1875">numero</WORD>
<WORD coords="2658,1879,2736,1823,1878">de</WORD>
<WORD coords="2782,1901,3030,1820,1878">tejedo-</WORD>
</LINE>
<LINE>
<WORD coords="656,1984,757,1945,1984">res</WORD>
<WORD coords="821,2002,1043,1944,1980">mayor</WORD>
<WORD coords="1097,1983,1357,1943,1980">numero</WORD>
<WORD coords="1413,1981,1490,1925,1981">de</WORD>
<WORD coords="1553,1983,1752,1945,1980">varas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="910,2089,989,2033,2088">Se</WORD>
<WORD coords="1038,2089,1179,2031,2087">dice</WORD>
<WORD coords="1235,2108,1411,2036,2084">regla</WORD>
<WORD coords="1458,2088,1531,2036,2088">de</WORD>
<WORD coords="1587,2090,1714,2044,2088">tres</WORD>
<WORD coords="1765,2092,2015,2036,2090">inversa</WORD>
<WORD coords="2048,2104,2065,2078,2098">,</WORD>
<WORD coords="2115,2093,2361,2034,2091">cuando</WORD>
<WORD coords="2419,2094,2448,2039,2094">á</WORD>
<WORD coords="2502,2115,2719,2050,2092">mayor</WORD>
<WORD coords="2771,2091,3043,2049,2089">numera</WORD>
</LINE>
<LINE>
<WORD coords="657,2212,1075,2140,2195">corresponde</WORD>
<WORD coords="1126,2195,1342,2156,2193">menor</WORD>
<WORD coords="1374,2208,1390,2182,2208">,</WORD>
<WORD coords="1437,2214,1476,2158,2205">y</WORD>
<WORD coords="1520,2196,1551,2144,2196">á</WORD>
<WORD coords="1609,2197,1823,2159,2196">menor</WORD>
<WORD coords="1869,2200,2128,2159,2196">numero</WORD>
<WORD coords="2174,2219,2587,2144,2198">corresponde</WORD>
<WORD coords="2628,2217,2841,2158,2196">mayor</WORD>
<WORD coords="2873,2202,2889,2162,2202">;</WORD>
<WORD coords="2924,2212,3039,2152,2193">por</WORD>
</LINE>
<LINE>
<WORD coords="662,2324,933,2247,2301">ejemplo</WORD>
<WORD coords="968,2318,986,2292,2310">,</WORD>
<WORD coords="1041,2302,1096,2248,2301">si</WORD>
<WORD coords="1152,2302,1189,2250,2302">6</WORD>
<WORD coords="1244,2304,1503,2246,2302">caballos</WORD>
<WORD coords="1562,2304,1634,2262,2303">en</WORD>
<WORD coords="1698,2305,1739,2253,2305">4</WORD>
<WORD coords="1811,2305,1947,2250,2304">días</WORD>
<WORD coords="2003,2305,2203,2267,2304">comen</WORD>
<WORD coords="2260,2304,2339,2254,2304">24</WORD>
<WORD coords="2393,2325,2621,2267,2304">cargas</WORD>
<WORD coords="2677,2303,2749,2249,2303">de</WORD>
<WORD coords="2791,2305,3037,2243,2299">cebada;</WORD>
</LINE>
<LINE>
<WORD coords="668,2434,703,2378,2422">¿</WORD>
<WORD coords="772,2410,786,2377,2410">1</WORD>
<WORD coords="805,2410,839,2363,2410">2</WORD>
<WORD coords="890,2410,1149,2353,2408">caballos</WORD>
<WORD coords="1204,2410,1277,2372,2409">en</WORD>
<WORD coords="1354,2410,1607,2364,2408">cuantos</WORD>
<WORD coords="1667,2410,1802,2359,2409">días</WORD>
<WORD coords="1860,2412,2138,2373,2410">comerán</WORD>
<WORD coords="2198,2410,2287,2355,2409">las</WORD>
<WORD coords="2340,2410,2585,2355,2409">mismas</WORD>
<WORD coords="2636,2409,2715,2357,2408">24</WORD>
<WORD coords="2772,2426,3037,2346,2405">cargan?</WORD>
</LINE>
<LINE>
<WORD coords="663,2517,752,2460,2516">Es</WORD>
<WORD coords="812,2531,1152,2461,2515">evidente,</WORD>
<WORD coords="1201,2535,1320,2478,2516">que</WORD>
<WORD coords="1378,2517,1603,2470,2515">cuanto</WORD>
<WORD coords="1664,2517,1794,2480,2516">mas</WORD>
<WORD coords="1848,2517,1994,2481,2516">sean</WORD>
<WORD coords="2048,2518,2137,2463,2517">ios</WORD>
<WORD coords="2197,2517,2463,2462,2516">caballos</WORD>
<WORD coords="2489,2533,2505,2505,2517">,</WORD>
<WORD coords="2534,2517,2746,2479,2514">menos</WORD>
<WORD coords="2797,2529,3035,2457,2512">tiempo</WORD>
</LINE>
<LINE>
<WORD coords="667,2645,955,2571,2623">gastarán</WORD>
<WORD coords="1024,2625,1099,2589,2624">en</WORD>
<WORD coords="1181,2627,1397,2584,2624">comer</WORD>
<WORD coords="1455,2622,1543,2567,2621">las</WORD>
<WORD coords="1619,2625,1875,2568,2624">mismas</WORD>
<WORD coords="1934,2646,2148,2589,2624">cargas</WORD>
<WORD coords="2177,2642,2198,2591,2642">;</WORD>
<WORD coords="2249,2642,2288,2588,2633">y</WORD>
<WORD coords="2334,2625,2557,2579,2624">cuanto</WORD>
<WORD coords="2625,2622,2835,2584,2620">menos</WORD>
<WORD coords="2891,2619,3038,2581,2618">sean</WORD>
</LINE>
<LINE>
<WORD coords="661,2748,866,2676,2730">ellos,</WORD>
<WORD coords="927,2732,1056,2694,2731">mas</WORD>
<WORD coords="1118,2751,1353,2678,2731">tiempo</WORD>
<WORD coords="1404,2751,1683,2679,2729">gastarán</WORD>
<WORD coords="1743,2734,1817,2696,2732">en</WORD>
<WORD coords="1881,2738,2308,2677,2733">consumirlas,</WORD>
<WORD coords="2402,2745,2658,2677,2733">Ahora,</WORD>
<WORD coords="2704,2730,2884,2690,2727">como</WORD>
<WORD coords="2936,2725,3034,2670,2724">los</WORD>
</LINE>
<LINE>
<WORD coords="668,2838,696,2781,2838">1</WORD>
<WORD coords="709,2838,743,2792,2838">2</WORD>
<WORD coords="805,2839,1071,2783,2837">caballos</WORD>
<WORD coords="1124,2838,1232,2801,2837">son</WORD>
<WORD coords="1277,2837,1330,2784,2836">el</WORD>
<WORD coords="1384,2839,1565,2782,2837">doble</WORD>
<WORD coords="1613,2837,1690,2781,2837">de</WORD>
<WORD coords="1743,2839,1832,2784,2837">los</WORD>
<WORD coords="1899,2839,1935,2785,2839">6</WORD>
<WORD coords="1971,2854,1985,2829,2847">,</WORD>
<WORD coords="2028,2841,2079,2788,2840">el</WORD>
<WORD coords="2130,2859,2364,2786,2840">tiempo</WORD>
<WORD coords="2407,2858,2526,2802,2843">que</WORD>
<WORD coords="2561,2863,2773,2794,2837">gasten</WORD>
<WORD coords="2827,2853,3039,2776,2832">aquel-</WORD>
</LINE>
<LINE>
<WORD coords="666,2944,758,2888,2943">los</WORD>
<WORD coords="820,2945,956,2908,2944">sera</WORD>
<WORD coords="1024,2945,1079,2889,2944">la</WORD>
<WORD coords="1127,2944,1323,2887,2943">mitad</WORD>
<WORD coords="1383,2944,1460,2887,2944">dé</WORD>
<WORD coords="1503,2943,1592,2888,2942">los</WORD>
<WORD coords="1645,2945,1685,2894,2945">4</WORD>
<WORD coords="1740,2945,1876,2889,2944">días</WORD>
<WORD coords="1921,2965,2040,2910,2946">que</WORD>
<WORD coords="2103,2967,2392,2902,2947">gastaron</WORD>
<WORD coords="2443,2949,2607,2905,2948">estos</WORD>
<WORD coords="2644,2960,2660,2934,2952">,</WORD>
<WORD coords="2703,2945,2835,2900,2943">esto</WORD>
<WORD coords="2878,2940,2942,2906,2939">es</WORD>
<WORD coords="3002,2940,3040,2889,2940">2</WORD>
</LINE>
<LINE>
<WORD coords="668,3049,805,2994,3048">dias</WORD>
<WORD coords="837,3051,852,3014,3051">:</WORD>
<WORD coords="912,3070,1095,2995,3049">luego</WORD>
<WORD coords="1140,3049,1215,3013,3049">en</WORD>
<WORD coords="1253,3051,1380,3005,3049">esta</WORD>
<WORD coords="1437,3053,1718,2995,3050">cuestión</WORD>
<WORD coords="1765,3048,1792,3002,3048">á</WORD>
<WORD coords="1851,3049,1888,2999,3049">6</WORD>
<WORD coords="1954,3051,2219,2992,3050">caballos</WORD>
<WORD coords="2282,3075,2739,2998,3052">corresponden</WORD>
<WORD coords="2801,3047,2849,2995,3048">4</WORD>
<WORD coords="2888,3045,3017,2991,3044">día«</WORD>
<WORD coords="3023,3063,3047,3031,3063">f</WORD>
</LINE>
<LINE>
<WORD coords="669,3178,709,3120,3167">y</WORD>
<WORD coords="776,3155,804,3121,3155">a</WORD>
<WORD coords="868,3156,938,3107,3156">12</WORD>
<WORD coords="1000,3156,1268,3101,3155">caballos</WORD>
<WORD coords="1326,3176,1780,3102,3155">corresponden</WORD>
<WORD coords="1839,3157,1874,3110,3157">2</WORD>
<WORD coords="1937,3157,2069,3100,3156">dias</WORD>
<WORD coords="2105,3174,2122,3147,3166">,</WORD>
<WORD coords="2183,3158,2247,3123,3157">es</WORD>
<WORD coords="2307,3160,2478,3103,3159">decir</WORD>
<WORD coords="2554,3179,2673,3125,3162">que</WORD>
<WORD coords="2729,3159,2757,3108,3159">á</WORD>
<WORD coords="2826,3170,3044,3118,3155">mayor</WORD>
</LINE>
<LINE>
<WORD coords="674,3265,861,3225,3263">causa</WORD>
<WORD coords="905,3282,1321,3207,3262">corresponde</WORD>
<WORD coords="1384,3264,1598,3225,3263">menor</WORD>
<WORD coords="1655,3264,1856,3207,3262">efecto</WORD>
<WORD coords="1889,3279,1905,3253,3276">,</WORD>
<WORD coords="1964,3273,2000,3226,3268">y</WORD>
<WORD coords="2058,3263,2113,3208,3263">al</WORD>
<WORD coords="2166,3267,2471,3211,3265">contrario</WORD>
<WORD coords="2506,3284,2521,3238,3275">;</WORD>
<WORD coords="2570,3267,2842,3212,3264">diremos</WORD>
<WORD coords="2889,3279,3038,3221,3261">pues</WORD>
</LINE>
<LINE>
<WORD coords="675,3386,798,3333,3369">que</WORD>
<WORD coords="855,3369,918,3333,3368">es</WORD>
<WORD coords="975,3370,1092,3333,3369">una</WORD>
<WORD coords="1153,3390,1321,3315,3367">regla</WORD>
<WORD coords="1374,3370,1450,3314,3369">de</WORD>
<WORD coords="1512,3371,1635,3327,3369">tres</WORD>
<WORD coords="1691,3370,1955,3318,3369">inversa.</WORD>
<WORD coords="2051,3390,2493,3315,3371">Espiiquemos</WORD>
<WORD coords="2550,3393,2662,3336,3373">por</WORD>
<WORD coords="2713,3371,2904,3313,3370">orden</WORD>
<WORD coords="2937,3372,3035,3332,3370">ca*</WORD>
</LINE>
<LINE>
<WORD coords="673,3478,756,3419,3477">da</WORD>
<WORD coords="814,3477,929,3439,3476">una</WORD>
<WORD coords="994,3476,1072,3422,3475">de</WORD>
<WORD coords="1121,3476,1206,3421,3475">las</WORD>
<WORD coords="1261,3476,1603,3419,3475">diferentes</WORD>
<WORD coords="1653,3497,1853,3422,3475">reglas</WORD>
<WORD coords="1908,3476,1983,3422,3475">de</WORD>
<WORD coords="2036,3478,2181,3432,3475">tres.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1023,3644,1336,3585,3642">REGLA</WORD>
<WORD coords="1418,3644,1536,3585,3643">DE</WORD>
<WORD coords="1586,3643,1818,3585,3642">TRES</WORD>
<WORD coords="1865,3644,2208,3584,3642">SIMPLE</WORD>
<WORD coords="2265,3649,2707,3586,3646">DIRECTA.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="763,3812,902,3757,3811">177.</WORD>
<WORD coords="999,3822,1282,3753,3809">Después</WORD>
<WORD coords="1318,3810,1393,3754,3810">de</WORD>
<WORD coords="1427,3811,1688,3771,3809">conocer</WORD>
<WORD coords="1739,3825,1846,3772,3808">por</WORD>
<WORD coords="1876,3812,1965,3755,3811">las</WORD>
<WORD coords="1998,3832,2199,3753,3809">reglas</WORD>
<WORD coords="2234,3812,2426,3753,3810">dadas</WORD>
<WORD coords="2462,3837,2614,3759,3821">(175</WORD>
<WORD coords="2646,3833,2689,3776,3833">y</WORD>
<WORD coords="2723,3834,2882,3754,3812">sig.)</WORD>
<WORD coords="2911,3829,3031,3772,3812">que</WORD>
</LINE>
<LINE>
<WORD coords="683,3922,803,3881,3919">una</WORD>
<WORD coords="839,3918,1116,3861,3915">cuestión</WORD>
<WORD coords="1153,3934,1472,3874,3917">pertenece</WORD>
<WORD coords="1510,3916,1536,3868,3917">á</WORD>
<WORD coords="1578,3916,1632,3863,3916">la</WORD>
<WORD coords="1682,3936,1850,3862,3915">regla</WORD>
<WORD coords="1900,3917,1975,3860,3917">de</WORD>
<WORD coords="2007,3918,2133,3873,3916">tres</WORD>
<WORD coords="2166,3932,2183,3906,3932">,</WORD>
<WORD coords="2216,3936,2450,3879,3916">porque</WORD>
<WORD coords="2495,3920,2657,3864,3918">tiene</WORD>
<WORD coords="2711,3919,2800,3863,3918">los</WORD>
<WORD coords="2858,3922,3036,3864,3918">datos</WORD>
</LINE>
<LINE>
<WORD coords="681,4049,719,3987,4038">y</WORD>
<WORD coords="764,4027,821,3971,4026">el</WORD>
<WORD coords="857,4045,1176,3969,4024">incógnito</WORD>
<WORD coords="1227,4046,1726,3969,4025">proporcionales</WORD>
<WORD coords="1754,4028,1769,3989,4028">:</WORD>
<WORD coords="1814,4048,1933,3989,4028">que</WORD>
<WORD coords="1987,4027,2118,3980,4025">esta</WORD>
<WORD coords="2164,4047,2329,3970,4028">regla</WORD>
<WORD coords="2370,4028,2447,3968,4028">de</WORD>
<WORD coords="2503,4030,2629,3981,4028">tres</WORD>
<WORD coords="2673,4029,2737,3990,4028">es</WORD>
<WORD coords="2792,4048,3039,3970,4026">simple,</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0138.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0139.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0139.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1278,556,1498,456,556">120</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="208,701,324,635,677">por</WORD>
<WORD coords="379,676,554,629,675">tener</WORD>
<WORD coords="601,675,735,616,674">solo</WORD>
<WORD coords="782,676,908,625,674">tres</WORD>
<WORD coords="953,674,1254,615,672">términos</WORD>
<WORD coords="1305,673,1641,616,669">conocidos</WORD>
<WORD coords="1665,683,1681,658,683">,</WORD>
<WORD coords="1703,692,1745,632,689">y</WORD>
<WORD coords="1799,687,1919,630,669">que</WORD>
<WORD coords="1972,667,2038,628,666">es</WORD>
<WORD coords="2100,668,2328,609,666">directa</WORD>
<WORD coords="2359,680,2376,652,680">,</WORD>
<WORD coords="2415,684,2565,619,665">por*</WORD>
</LINE>
<LINE>
<WORD coords="211,805,333,746,785">que</WORD>
<WORD coords="389,784,467,727,783">de</WORD>
<WORD coords="525,784,656,745,781">mas</WORD>
<WORD coords="705,784,769,748,783">se</WORD>
<WORD coords="830,783,906,745,782">va</WORD>
<WORD coords="953,782,984,728,781">á</WORD>
<WORD coords="1034,781,1164,743,780">mas</WORD>
<WORD coords="1212,799,1251,743,788">y</WORD>
<WORD coords="1313,778,1390,722,778">de</WORD>
<WORD coords="1450,777,1665,740,776">menos</WORD>
<WORD coords="1724,777,1756,722,777">á</WORD>
<WORD coords="1807,776,2019,737,774">menos</WORD>
<WORD coords="2050,787,2067,742,782">;</WORD>
<WORD coords="2107,774,2406,717,773">conviene</WORD>
<WORD coords="2460,773,2559,733,772">sa-</WORD>
</LINE>
<LINE>
<WORD coords="206,895,317,833,892">ber</WORD>
<WORD coords="375,910,673,834,889">disponer</WORD>
<WORD coords="720,889,812,833,888">los</WORD>
<WORD coords="863,888,1159,830,886">términos</WORD>
<WORD coords="1218,886,1296,831,885">de</WORD>
<WORD coords="1353,883,1410,828,883">la</WORD>
<WORD coords="1456,902,1822,827,881">proporción</WORD>
<WORD coords="1851,898,1871,869,890">,</WORD>
<WORD coords="1925,881,1981,825,881">la</WORD>
<WORD coords="2029,882,2165,823,880">cual</WORD>
<WORD coords="2230,896,2559,821,876">operación</WORD>
</LINE>
<LINE>
<WORD coords="204,999,271,962,999">se</WORD>
<WORD coords="330,997,514,942,996">llama</WORD>
<WORD coords="557,1015,850,939,994">plantear</WORD>
<WORD coords="907,994,964,938,993">ta</WORD>
<WORD coords="1026,1012,1199,936,990">regla</WORD>
<WORD coords="1255,991,1326,934,990">de</WORD>
<WORD coords="1371,990,1515,944,989">tres.</WORD>
<WORD coords="1613,990,1814,933,988">Como</WORD>
<WORD coords="1851,988,2030,931,987">todas</WORD>
<WORD coords="2064,987,2149,932,986">las</WORD>
<WORD coords="2182,998,2561,927,981">cuestiones,</WORD>
</LINE>
<LINE>
<WORD coords="209,1125,334,1068,1105">que</WORD>
<WORD coords="383,1122,754,1054,1101">pertenecen</WORD>
<WORD coords="804,1101,836,1049,1100">á</WORD>
<WORD coords="902,1100,957,1044,1099">la</WORD>
<WORD coords="1001,1118,1169,1044,1097">regla</WORD>
<WORD coords="1214,1098,1291,1041,1097">de</WORD>
<WORD coords="1327,1096,1451,1051,1095">tres</WORD>
<WORD coords="1506,1114,1733,1039,1095">simple</WORD>
<WORD coords="1790,1095,2026,1038,1094">directa</WORD>
<WORD coords="2056,1109,2072,1081,1102">,</WORD>
<WORD coords="2127,1094,2190,1055,1092">se</WORD>
<WORD coords="2238,1090,2564,1034,1088">resuelven</WORD>
</LINE>
<LINE>
<WORD coords="204,1232,316,1172,1211">por</WORD>
<WORD coords="365,1211,418,1155,1210">el</WORD>
<WORD coords="483,1210,710,1155,1208">mismo</WORD>
<WORD coords="769,1207,1108,1149,1205">raciocinio</WORD>
<WORD coords="1136,1222,1151,1193,1222">,</WORD>
<WORD coords="1188,1222,1307,1168,1204">que</WORD>
<WORD coords="1367,1203,1635,1146,1202">hicimos</WORD>
<WORD coords="1684,1222,1830,1164,1200">para</WORD>
<WORD coords="1890,1201,2163,1146,1198">resolver</WORD>
<WORD coords="2205,1196,2257,1142,1195">la</WORD>
<WORD coords="2300,1215,2567,1138,1192">primera</WORD>
</LINE>
<LINE>
<WORD coords="198,1321,482,1261,1318">Cuestión</WORD>
<WORD coords="526,1316,605,1260,1315">de</WORD>
<WORD coords="658,1315,751,1259,1314">los</WORD>
<WORD coords="797,1332,1108,1256,1312">tejedores</WORD>
<WORD coords="1156,1330,1341,1256,1316">(173)</WORD>
<WORD coords="1376,1324,1390,1274,1316">;</WORD>
<WORD coords="1441,1309,1506,1272,1308">se</WORD>
<WORD coords="1554,1309,1796,1251,1308">deduce</WORD>
<WORD coords="1828,1320,1846,1294,1320">,</WORD>
<WORD coords="1879,1325,1999,1269,1305">que</WORD>
<WORD coords="2047,1304,2106,1250,1304">la</WORD>
<WORD coords="2139,1306,2404,1245,1303">formula</WORD>
<WORD coords="2438,1325,2569,1238,1300">[A]</WORD>
</LINE>
<LINE>
<WORD coords="203,1430,309,1340,1429">ÉL</WORD>
<WORD coords="347,1428,363,1391,1428">:</WORD>
<WORD coords="394,1428,465,1374,1425">4t</WORD>
<WORD coords="496,1425,508,1411,1425">.</WORD>
<WORD coords="546,1431,589,1390,1427">::</WORD>
<WORD coords="616,1425,721,1385,1424">xv.</WORD>
<WORD coords="758,1426,774,1390,1424">:</WORD>
<WORD coords="814,1423,926,1369,1422">\6v</WORD>
<WORD coords="957,1422,971,1407,1421">.</WORD>
<WORD coords="1020,1420,1131,1383,1420">nos</WORD>
<WORD coords="1192,1420,1624,1359,1415">suministrará</WORD>
<WORD coords="1685,1415,1805,1374,1414">una</WORD>
<WORD coords="1836,1434,2005,1357,1411">regla</WORD>
<WORD coords="2066,1430,2210,1371,1410">para</WORD>
<WORD coords="2265,1413,2339,1373,1411">su</WORD>
<WORD coords="2400,1428,2571,1357,1409">plan-</WORD>
</LINE>
<LINE>
<WORD coords="199,1536,330,1488,1534">teo..</WORD>
<WORD coords="410,1532,561,1476,1531">Para</WORD>
<WORD coords="610,1551,1002,1473,1528">conseguirla</WORD>
<WORD coords="1037,1544,1054,1514,1536">,</WORD>
<WORD coords="1087,1528,1486,1470,1523">observemos</WORD>
<WORD coords="1539,1520,1595,1467,1519">la</WORD>
<WORD coords="1627,1520,1985,1463,1519">colocación</WORD>
<WORD coords="2018,1519,2094,1463,1518">de</WORD>
<WORD coords="2125,1518,2217,1461,1517">los</WORD>
<WORD coords="2262,1518,2572,1461,1515">términos</WORD>
</LINE>
<LINE>
<WORD coords="208,1640,288,1584,1640">de</WORD>
<WORD coords="348,1641,448,1586,1639">l.*</WORD>
<WORD coords="448,1617,466,1584,1617">8</WORD>
<WORD coords="547,1659,590,1599,1648">y</WORD>
<WORD coords="647,1638,702,1590,1634">2.</WORD>
<WORD coords="730,1614,770,1582,1621">*</WORD>
<WORD coords="842,1654,1086,1574,1633">especie</WORD>
<WORD coords="1122,1647,1140,1619,1647">,</WORD>
<WORD coords="1191,1649,1226,1595,1639">y</WORD>
<WORD coords="1272,1629,1640,1585,1626">trataremos</WORD>
<WORD coords="1699,1645,1968,1569,1625">siempre</WORD>
<WORD coords="2017,1625,2094,1566,1625">de</WORD>
<WORD coords="2144,1642,2266,1584,1625">que</WORD>
<WORD coords="2334,1623,2391,1565,1624">«1</WORD>
<WORD coords="2447,1622,2571,1575,1621">ter*</WORD>
</LINE>
<LINE>
<WORD coords="207,1748,378,1690,1745">mino</WORD>
<WORD coords="432,1766,753,1686,1744">incógnito</WORD>
<WORD coords="795,1761,991,1703,1742">ocupe</WORD>
<WORD coords="1036,1740,1093,1682,1739">el</WORD>
<WORD coords="1137,1739,1358,1682,1736">ultimo</WORD>
<WORD coords="1404,1756,1581,1682,1735">lugar</WORD>
<WORD coords="1632,1735,1763,1677,1733">ácia</WORD>
<WORD coords="1814,1746,2133,1673,1732">derecha,</WORD>
<WORD coords="2187,1748,2297,1692,1728">por</WORD>
<WORD coords="2344,1729,2573,1690,1727">seres»</WORD>
</LINE>
<LINE>
<WORD coords="200,1859,268,1810,1857">to</WORD>
<WORD coords="326,1857,456,1817,1855">mas</WORD>
<WORD coords="512,1854,780,1795,1852">cómodo</WORD>
<WORD coords="811,1856,834,1814,1853">;</WORD>
<WORD coords="866,1850,1335,1793,1847">observaremos</WORD>
<WORD coords="1367,1843,1397,1788,1843">á</WORD>
<WORD coords="1433,1844,1562,1806,1844">mas</WORD>
<WORD coords="1605,1844,1683,1786,1843">de</WORD>
<WORD coords="1729,1842,1862,1796,1841">esto</WORD>
<WORD coords="1894,1857,1911,1827,1850">,</WORD>
<WORD coords="1941,1840,1993,1783,1840">si</WORD>
<WORD coords="2052,1840,2110,1782,1839">el</WORD>
<WORD coords="2154,1839,2420,1777,1836">termino</WORD>
<WORD coords="2453,1852,2575,1770,1834">qufc</WORD>
</LINE>
<LINE>
<WORD coords="205,1965,271,1927,1964">se</WORD>
<WORD coords="319,1964,507,1906,1961">busca</WORD>
<WORD coords="553,1960,619,1922,1959">es</WORD>
<WORD coords="678,1977,893,1917,1957">mayor</WORD>
<WORD coords="934,1956,973,1899,1955">ó</WORD>
<WORD coords="1023,1955,1238,1914,1953">menor</WORD>
<WORD coords="1304,1970,1428,1915,1952">que</WORD>
<WORD coords="1485,1952,1542,1894,1951">el</WORD>
<WORD coords="1602,1951,1907,1889,1948">conocido</WORD>
<WORD coords="1960,1947,2038,1891,1947">de</WORD>
<WORD coords="2090,1948,2164,1910,1947">su</WORD>
<WORD coords="2219,1959,2486,1884,1941">especie.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="465,2068,545,2010,2067">Se</WORD>
<WORD coords="606,2065,883,2008,2063">advierte</WORD>
<WORD coords="918,2079,938,2049,2079">f</WORD>
<WORD coords="1001,2080,1120,2024,2060">que</WORD>
<WORD coords="1174,2059,1503,2003,2057">llamamos</WORD>
<WORD coords="1552,2078,1833,2003,2055">primera</WORD>
<WORD coords="1913,2077,2144,2003,2053">especie</WORD>
<WORD coords="2196,2050,2227,1996,2053">á</WORD>
<WORD coords="2294,2049,2386,1993,2048">los</WORD>
<WORD coords="2455,2050,2573,1990,2046">doí</WORD>
</LINE>
<LINE>
<WORD coords="206,2178,508,2116,2174">términos</WORD>
<WORD coords="550,2172,884,2111,2169">conocidos</WORD>
<WORD coords="949,2187,1069,2131,2167">que</WORD>
<WORD coords="1106,2167,1312,2109,2165">tienen</WORD>
<WORD coords="1372,2166,1454,2127,2165">un</WORD>
<WORD coords="1513,2165,1737,2106,2163">mismo</WORD>
<WORD coords="1778,2163,2040,2105,2161">nombre</WORD>
<WORD coords="2073,2176,2090,2150,2170">,</WORD>
<WORD coords="2117,2161,2206,2099,2158">asi</WORD>
<WORD coords="2249,2157,2325,2118,2156">en</WORD>
<WORD coords="2355,2154,2410,2100,2154">la</WORD>
<WORD coords="2441,2156,2568,2096,2155">for*</WORD>
</LINE>
<LINE>
<WORD coords="209,2286,380,2228,2284">muía</WORD>
<WORD coords="430,2282,458,2230,2282">f</WORD>
<WORD coords="476,2302,566,2221,2280">A)</WORD>
<WORD coords="631,2278,699,2227,2277">St</WORD>
<WORD coords="727,2277,741,2261,2277">.</WORD>
<WORD coords="789,2296,832,2238,2285">y</WORD>
<WORD coords="881,2274,950,2226,2273">4/</WORD>
<WORD coords="980,2275,993,2259,2274">.</WORD>
<WORD coords="1027,2273,1137,2235,2272">son</WORD>
<WORD coords="1181,2272,1238,2216,2271">la</WORD>
<WORD coords="1294,2290,1562,2215,2270">primera</WORD>
<WORD coords="1616,2289,1859,2213,2268">especie</WORD>
<WORD coords="1889,2283,1918,2231,2283">%</WORD>
<WORD coords="1948,2290,1982,2231,2280">y</WORD>
<WORD coords="2026,2267,2305,2208,2264">decimos</WORD>
<WORD coords="2345,2282,2570,2221,2260">según*</WORD>
</LINE>
<LINE>
<WORD coords="208,2390,289,2331,2389">da</WORD>
<WORD coords="343,2407,573,2341,2385">especie</WORD>
<WORD coords="622,2384,680,2328,2384">al</WORD>
<WORD coords="739,2383,1005,2321,2380">termino</WORD>
<WORD coords="1060,2399,1385,2319,2377">Incógnito</WORD>
<WORD coords="1413,2393,1457,2341,2386">y</WORD>
<WORD coords="1499,2380,1557,2320,2378">al</WORD>
<WORD coords="1612,2376,1916,2317,2375">conocido</WORD>
<WORD coords="1959,2375,2036,2315,2374">de</WORD>
<WORD coords="2074,2375,2148,2337,2375">su</WORD>
<WORD coords="2174,2382,2451,2312,2369">nombre,</WORD>
<WORD coords="2482,2370,2571,2322,2368">ta.</WORD>
</LINE>
<LINE>
<WORD coords="212,2494,301,2438,2493">les</WORD>
<WORD coords="359,2493,470,2455,2492">son</WORD>
<WORD coords="499,2492,588,2454,2491">xv</WORD>
<WORD coords="617,2510,717,2452,2497">.y</WORD>
<WORD coords="782,2489,854,2434,2488">16</WORD>
<WORD coords="882,2488,936,2449,2488">v.</WORD>
<WORD coords="995,2503,1305,2429,2484">Supuesto</WORD>
<WORD coords="1354,2484,1487,2438,2483">esto</WORD>
<WORD coords="1515,2497,1540,2470,2490">^</WORD>
<WORD coords="1578,2484,1800,2444,2481">vamos</WORD>
<WORD coords="1856,2482,1887,2427,2482">á</WORD>
<WORD coords="1940,2482,2171,2426,2480">buscar</WORD>
<WORD coords="2228,2478,2348,2437,2476">una</WORD>
<WORD coords="2402,2497,2575,2416,2475">regla</WORD>
</LINE>
<LINE>
<WORD coords="208,2623,360,2559,2600">para</WORD>
<WORD coords="407,2600,463,2544,2599">el</WORD>
<WORD coords="509,2618,756,2544,2596">planteo</WORD>
<WORD coords="783,2609,807,2582,2609">r</WORD>
<WORD coords="854,2594,1312,2534,2591">deduciéndola</WORD>
<WORD coords="1371,2593,1452,2532,2591">de</WORD>
<WORD coords="1492,2590,1549,2533,2589">la</WORD>
<WORD coords="1595,2591,1862,2528,2588">Formula</WORD>
<WORD coords="1918,2588,2207,2529,2586">anterior.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="467,2706,604,2645,2703">Con</WORD>
<WORD coords="655,2702,858,2643,2700">efecto</WORD>
<WORD coords="892,2713,912,2685,2713">t</WORD>
<WORD coords="942,2698,995,2643,2698">si</WORD>
<WORD coords="1028,2698,1394,2642,2696">invertimos</WORD>
<WORD coords="1441,2696,1498,2640,2696">la</WORD>
<WORD coords="1535,2698,1803,2636,2694">formula</WORD>
<WORD coords="1834,2693,1917,2645,2693">St.</WORD>
<WORD coords="1955,2694,1969,2658,2694">:</WORD>
<WORD coords="2004,2693,2088,2642,2692">4í.</WORD>
<WORD coords="2129,2701,2169,2657,2697">;:</WORD>
<WORD coords="2196,2696,2302,2651,2694">xv,</WORD>
<WORD coords="2335,2695,2353,2656,2695">:</WORD>
<WORD coords="2551,2707,2574,2673,2707">f</WORD>
</LINE>
<LINE>
<WORD coords="213,2814,574,2752,2810">tendremos</WORD>
<WORD coords="628,2808,716,2757,2808">4f»</WORD>
<WORD coords="766,2814,783,2773,2810">;</WORD>
<WORD coords="829,2807,915,2757,2806">St.</WORD>
<WORD coords="980,2806,1020,2770,2805">::</WORD>
<WORD coords="1082,2804,1196,2751,2804">lBv</WORD>
<WORD coords="1285,2804,1299,2768,2804">:</WORD>
<WORD coords="1354,2804,1456,2766,2803">xv.</WORD>
<WORD coords="1529,2826,1555,2752,2823">(</WORD>
<WORD coords="1594,2820,1785,2745,2804">1.*).</WORD>
<WORD coords="1831,2821,1851,2771,2812">?</WORD>
<WORD coords="1913,2800,1964,2742,2799">si</WORD>
<WORD coords="2010,2800,2145,2754,2799">esta</WORD>
<WORD coords="2204,2816,2574,2753,2794">proporción</WORD>
</LINE>
<LINE>
<WORD coords="221,2930,645,2869,2918">alternamos,</WORD>
<WORD coords="700,2919,835,2879,2917">sera</WORD>
<WORD coords="878,2918,967,2863,2917">4t.</WORD>
<WORD coords="1032,2921,1048,2884,2919">;</WORD>
<WORD coords="1104,2917,1237,2865,2917">l&apos;6t&gt;.</WORD>
<WORD coords="1292,2924,1334,2881,2919">;:</WORD>
<WORD coords="1385,2915,1468,2865,2914">St.</WORD>
<WORD coords="1522,2915,1538,2878,2915">:</WORD>
<WORD coords="1599,2919,1705,2875,2917">xv»</WORD>
<WORD coords="1767,2938,1795,2859,2926">(</WORD>
<WORD coords="1827,2913,1882,2864,2905">2.</WORD>
<WORD coords="1907,2892,1942,2860,2914">*</WORD>
<WORD coords="1970,2929,2021,2855,2922">).</WORD>
<WORD coords="2054,2927,2230,2852,2910">Aqui</WORD>
<WORD coords="2287,2908,2577,2851,2906">observa»</WORD>
</LINE>
<LINE>
<WORD coords="217,3034,355,2993,3031">mos</WORD>
<WORD coords="396,3050,515,2993,3030">que</WORD>
<WORD coords="571,3029,628,2973,3028">el</WORD>
<WORD coords="683,3029,949,2970,3028">termino</WORD>
<WORD coords="998,3032,1099,2989,3030">xv.</WORD>
<WORD coords="1169,3046,1289,2990,3028">que</WORD>
<WORD coords="1344,3027,1410,2989,3026">se</WORD>
<WORD coords="1459,3026,1650,2968,3025">busca</WORD>
<WORD coords="1691,3036,1709,3011,3036">%</WORD>
<WORD coords="1741,3023,1894,2965,3022">debe</WORD>
<WORD coords="1943,3019,2040,2981,3018">ser</WORD>
<WORD coords="2088,3036,2297,2977,3015">mayor</WORD>
<WORD coords="2344,3033,2463,2976,3013">que</WORD>
<WORD coords="2515,3015,2577,2953,3013">el</WORD>
</LINE>
<LINE>
<WORD coords="220,3137,527,3079,3134">conocido</WORD>
<WORD coords="587,3136,665,3079,3135">de</WORD>
<WORD coords="719,3136,794,3099,3135">su</WORD>
<WORD coords="858,3155,1103,3078,3134">especie</WORD>
<WORD coords="1162,3136,1304,3078,3134">16v«</WORD>
<WORD coords="1335,3149,1352,3119,3149">,</WORD>
<WORD coords="1394,3153,1435,3095,3143">y</WORD>
<WORD coords="1480,3133,1555,3093,3132">en</WORD>
<WORD coords="1599,3132,1731,3085,3131">este</WORD>
<WORD coords="1790,3131,1932,3089,3128">caso</WORD>
<WORD coords="1984,3127,2077,3068,3126">las</WORD>
<WORD coords="2138,3145,2575,3062,3120">proporciones</WORD>
</LINE>
<LINE>
<WORD coords="224,3266,331,3189,3241">(l.</WORD>
<WORD coords="359,3219,394,3185,3219">rt</WORD>
<WORD coords="424,3262,533,3185,3262">)y</WORD>
<WORD coords="595,3264,708,3188,3249">(2.</WORD>
<WORD coords="730,3220,769,3185,3220">rt</WORD>
<WORD coords="797,3260,823,3186,3252">)</WORD>
<WORD coords="869,3244,982,3202,3241">nos</WORD>
<WORD coords="1038,3240,1159,3183,3239">dan</WORD>
<WORD coords="1214,3242,1347,3193,3240">esta</WORD>
<WORD coords="1393,3263,1564,3182,3237">regla</WORD>
<WORD coords="1598,3243,1616,3204,3243">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="309,3349,447,3295,3347">178.</WORD>
<WORD coords="535,3349,650,3290,3349">t.&quot;</WORD>
<WORD coords="766,3349,935,3291,3348">Para</WORD>
<WORD coords="968,3371,1259,3291,3347">plantear</WORD>
<WORD coords="1311,3350,1435,3308,3349">una</WORD>
<WORD coords="1491,3371,1665,3291,3348">regla</WORD>
<WORD coords="1719,3347,1791,3290,3347">de</WORD>
<WORD coords="1847,3346,1971,3297,3343">tres</WORD>
<WORD coords="2039,3344,2273,3286,3340">directa</WORD>
<WORD coords="2313,3355,2527,3276,3334">simple</WORD>
<WORD coords="2554,3346,2574,3318,3346">9</WORD>
</LINE>
<LINE>
<WORD coords="222,3459,452,3399,3456">cuando</WORD>
<WORD coords="484,3458,540,3399,3456">el</WORD>
<WORD coords="567,3456,823,3399,3454">termino</WORD>
<WORD coords="854,3476,1166,3398,3454">incógnito</WORD>
<WORD coords="1197,3455,1301,3417,3454">sea</WORD>
<WORD coords="1333,3474,1544,3416,3454">mayor</WORD>
<WORD coords="1574,3478,1687,3414,3453">que</WORD>
<WORD coords="1713,3452,1769,3396,3452">el</WORD>
<WORD coords="1795,3453,2076,3393,3450">conocido</WORD>
<WORD coords="2109,3449,2179,3392,3448">de</WORD>
<WORD coords="2200,3450,2274,3408,3449">su</WORD>
<WORD coords="2328,3467,2578,3384,3442">especie,</WORD>
</LINE>
<LINE>
<WORD coords="218,3567,286,3526,3563">*e</WORD>
<WORD coords="335,3564,493,3509,3563">hará</WORD>
<WORD coords="545,3565,677,3517,3563">esta</WORD>
<WORD coords="725,3584,1145,3508,3560">proporción;</WORD>
<WORD coords="1199,3561,1256,3506,3560">el</WORD>
<WORD coords="1302,3562,1560,3521,3560">numero</WORD>
<WORD coords="1629,3558,1705,3502,3558">de</WORD>
<WORD coords="1756,3558,1812,3504,3558">la</WORD>
<WORD coords="1864,3559,1978,3502,3559">t.^</WORD>
<WORD coords="2059,3574,2353,3500,3555">especie:</WORD>
<WORD coords="2401,3550,2467,3513,3550">es</WORD>
<WORD coords="2534,3547,2568,3509,3547">a</WORD>
</LINE>
<LINE>
<WORD coords="228,3690,583,3614,3670">cualquiera</WORD>
<WORD coords="639,3670,717,3613,3669">de</WORD>
<WORD coords="776,3670,868,3613,3669">los</WORD>
<WORD coords="915,3672,1087,3627,3670">otros</WORD>
<WORD coords="1164,3671,1276,3611,3670">dos</WORD>
<WORD coords="1335,3675,1637,3611,3668">términos</WORD>
<WORD coords="1696,3667,1732,3628,3666">::</WORD>
<WORD coords="1787,3667,1966,3626,3665">como</WORD>
<WORD coords="2025,3665,2083,3608,3664">el</WORD>
<WORD coords="2164,3684,2284,3627,3664">que</WORD>
<WORD coords="2346,3680,2572,3597,3657">queda:</WORD>
</LINE>
<LINE>
<WORD coords="222,3781,290,3741,3780">es</WORD>
<WORD coords="347,3778,406,3723,3778">al</WORD>
<WORD coords="438,3798,779,3720,3775">incógnito.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="468,3885,535,3827,3884">Si</WORD>
<WORD coords="589,3885,663,3847,3884">en</WORD>
<WORD coords="712,3884,768,3828,3883">la</WORD>
<WORD coords="825,3884,1092,3823,3882">formula</WORD>
<WORD coords="1144,3906,1275,3825,3883">[A]</WORD>
<WORD coords="1325,3882,1405,3832,3881">St.</WORD>
<WORD coords="1469,3884,1485,3845,3883">:</WORD>
<WORD coords="1542,3883,1611,3830,3881">4f</WORD>
<WORD coords="1783,3881,1886,3841,3880">xv.</WORD>
<WORD coords="1945,3882,1961,3846,3881">:</WORD>
<WORD coords="2020,3881,2132,3826,3879">Í6v</WORD>
<WORD coords="2212,3878,2428,3821,3875">darnos</WORD>
<WORD coords="2462,3891,2572,3833,3871">por</WORD>
</LINE>
<LINE>
<WORD coords="220,4009,538,3935,3989">incógnito</WORD>
<WORD coords="596,3989,649,3934,3987">el</WORD>
<WORD coords="709,3989,978,3934,3987">termino</WORD>
<WORD coords="1023,3990,1091,3939,3989">4&gt;t</WORD>
<WORD coords="1160,4007,1196,3953,3998">y</WORD>
<WORD coords="1269,3989,1342,3953,3988">en</WORD>
<WORD coords="1402,3986,1511,3950,3985">vez</WORD>
<WORD coords="1575,3988,1650,3935,3988">d^</WORD>
<WORD coords="1709,3987,1788,3952,3986">xv</WORD>
<WORD coords="1896,3999,2190,3949,3983">ponamos</WORD>
<WORD coords="2252,3982,2317,3947,3979">su</WORD>
<WORD coords="2406,3994,2433,3944,3994">¥</WORD>
<WORD coords="2442,3978,2469,3943,3978">a</WORD>
<WORD coords="2478,4006,2492,3923,4006">|</WORD>
<WORD coords="2500,3971,2513,3944,3971">f</WORD>
<WORD coords="2512,4016,2570,3935,4016">¿</WORD>
</LINE>
<LINE>
<WORD coords="227,4098,370,4041,4096">32v.</WORD>
<WORD coords="406,4112,429,4080,4104">,</WORD>
<WORD coords="478,4096,617,4056,4095">sera</WORD>
<WORD coords="675,4096,760,4044,4095">St.</WORD>
<WORD coords="824,4096,843,4058,4096">;</WORD>
<WORD coords="885,4098,980,4050,4096">x¿.</WORD>
<WORD coords="1031,4099,1075,4063,4098">:;</WORD>
<WORD coords="1129,4097,1268,4045,4096">32v.</WORD>
<WORD coords="1326,4096,1341,4059,4095">:</WORD>
<WORD coords="1392,4095,1523,4041,4094">Í6v.</WORD>
<WORD coords="1572,4120,1597,4041,4108">[</WORD>
<WORD coords="1634,4096,1684,4039,4096">B</WORD>
<WORD coords="1712,4118,1784,4037,4115">];</WORD>
<WORD coords="1824,4116,1868,4058,4115">y</WORD>
<WORD coords="1926,4115,2227,4036,4094">quedaría</WORD>
<WORD coords="2281,4089,2575,4028,4086">reducida</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1386,4200,1468,4149,4199">24»</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0139.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0140.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0140.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1798,486,2020,390,484">130</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="711,604,776,539,601">fa</WORD>
<WORD coords="838,598,1118,538,595">cuestión</WORD>
<WORD coords="1177,597,1209,539,601">á</WORD>
<WORD coords="1265,599,1490,540,597">buscar</WORD>
<WORD coords="1536,599,1632,540,598">los</WORD>
<WORD coords="1691,622,2007,544,601">tejedores</WORD>
<WORD coords="2074,625,2192,567,607">que</WORD>
<WORD coords="2252,631,2597,551,609">trabajarán</WORD>
<WORD coords="2652,619,2763,559,619">16v</WORD>
<WORD coords="2819,640,2839,606,632">,</WORD>
<WORD coords="2878,624,2951,584,623">en</WORD>
<WORD coords="3006,630,3065,570,628">el</WORD>
</LINE>
<LINE>
<WORD coords="711,717,1017,658,702">supuesto</WORD>
<WORD coords="1076,703,1153,645,703">de</WORD>
<WORD coords="1214,722,1333,666,704">que</WORD>
<WORD coords="1395,705,1480,656,703">8t.</WORD>
<WORD coords="1540,705,1659,646,704">han</WORD>
<WORD coords="1723,730,2045,650,708">trabajado</WORD>
<WORD coords="2107,714,2183,662,712">32</WORD>
<WORD coords="2258,718,2461,677,714">varas.</WORD>
<WORD coords="2554,723,2785,660,719">Donde</WORD>
<WORD coords="2854,729,2915,691,728">se</WORD>
<WORD coords="2975,732,3048,695,731">ve</WORD>
<WORD coords="3052,752,3075,719,752">f</WORD>
</LINE>
<LINE>
<WORD coords="708,827,830,767,808">que</WORD>
<WORD coords="889,826,1109,761,807">puesto</WORD>
<WORD coords="1173,827,1290,770,809">que</WORD>
<WORD coords="1350,810,1439,752,808">las</WORD>
<WORD coords="1503,811,1576,757,813">16</WORD>
<WORD coords="1634,832,1752,776,813">que</WORD>
<WORD coords="1797,813,1861,778,813">se</WORD>
<WORD coords="1913,816,2031,758,815">han</WORD>
<WORD coords="2063,818,2139,759,817">de</WORD>
<WORD coords="2183,843,2341,762,817">tejer</WORD>
<WORD coords="2394,822,2505,785,821">son</WORD>
<WORD coords="2564,834,2779,786,829">menos</WORD>
<WORD coords="2837,855,2954,800,838">que</WORD>
<WORD coords="2985,842,3074,802,839">las</WORD>
</LINE>
<LINE>
<WORD coords="707,912,789,857,916">32</WORD>
<WORD coords="852,932,973,875,913">que</WORD>
<WORD coords="1029,915,1093,875,914">se</WORD>
<WORD coords="1151,916,1271,856,914">han</WORD>
<WORD coords="1329,938,1567,858,916">tejido,</WORD>
<WORD coords="1622,922,1894,866,920">también</WORD>
<WORD coords="1945,922,2036,868,921">ios</WORD>
<WORD coords="2079,946,2392,868,924">tejedores</WORD>
<WORD coords="2446,945,2564,894,932">que</WORD>
<WORD coords="2623,938,2687,898,938">se</WORD>
<WORD coords="2719,942,2951,883,940">buscan</WORD>
<WORD coords="2976,946,3075,906,945">se-</WORD>
</LINE>
<LINE>
<WORD coords="699,1020,813,974,1019">ran</WORD>
<WORD coords="873,1021,1085,981,1019">menos</WORD>
<WORD coords="1143,1041,1260,986,1023">que</WORD>
<WORD coords="1328,1026,1416,968,1023">los</WORD>
<WORD coords="1462,1024,1497,975,1029">8</WORD>
<WORD coords="1543,1042,1924,972,1026">conocidos;</WORD>
<WORD coords="1983,1050,2093,993,1031">por</WORD>
<WORD coords="2152,1058,2574,980,1036">consiguiente</WORD>
<WORD coords="2632,1062,2776,988,1044">aquí</WORD>
<WORD coords="2850,1052,3068,990,1048">busca.</WORD>
</LINE>
<LINE>
<WORD coords="701,1127,842,1083,1124">mos</WORD>
<WORD coords="900,1128,981,1088,1126">un</WORD>
<WORD coords="1040,1130,1299,1090,1128">numero</WORD>
<WORD coords="1350,1133,1586,1091,1131">menor.</WORD>
<WORD coords="1684,1137,1958,1076,1135">Veamos</WORD>
<WORD coords="2014,1138,2089,1101,1137">en</WORD>
<WORD coords="2135,1141,2262,1094,1139">este</WORD>
<WORD coords="2314,1143,2456,1105,1143">caso</WORD>
<WORD coords="2506,1164,2623,1109,1148">que</WORD>
<WORD coords="2654,1170,2823,1093,1148">regla</WORD>
<WORD coords="2884,1153,2964,1063,1152">se&apos;</WORD>
<WORD coords="2988,1161,3070,1098,1159">Ka</WORD>
</LINE>
<LINE>
<WORD coords="702,1231,785,1172,1230">de</WORD>
<WORD coords="831,1253,1041,1177,1231">seguir</WORD>
<WORD coords="1088,1233,1162,1197,1232">en</WORD>
<WORD coords="1198,1238,1271,1199,1236">su</WORD>
<WORD coords="1306,1254,1573,1179,1237">planteo.</WORD>
<WORD coords="1613,1240,1763,1182,1239">Para</WORD>
<WORD coords="1797,1243,1915,1187,1242">elio</WORD>
<WORD coords="1946,1264,2364,1202,1247">permutemos</WORD>
<WORD coords="2423,1253,2479,1195,1252">la</WORD>
<WORD coords="2538,1275,2905,1202,1256">proporción</WORD>
<WORD coords="2937,1285,3053,1205,1260">[B]</WORD>
<WORD coords="3056,1282,3077,1250,1282">t</WORD>
</LINE>
<LINE>
<WORD coords="697,1359,739,1295,1355">y</WORD>
<WORD coords="776,1340,1131,1281,1338">tendremos</WORD>
<WORD coords="1178,1343,1296,1290,1343">$2v</WORD>
<WORD coords="1347,1348,1363,1311,1350">:</WORD>
<WORD coords="1408,1346,1540,1292,1345">I6v,</WORD>
<WORD coords="1686,1347,1750,1299,1345">Sí</WORD>
<WORD coords="1804,1348,1818,1313,1350">:</WORD>
<WORD coords="1879,1350,1972,1303,1349">xt.</WORD>
<WORD coords="2012,1364,2031,1318,1359">;</WORD>
<WORD coords="2097,1354,2148,1297,1353">si</WORD>
<WORD coords="2196,1354,2252,1300,1353">ia</WORD>
<WORD coords="2304,1363,2672,1301,1358">alternamos</WORD>
<WORD coords="2700,1377,2719,1349,1371">,</WORD>
<WORD coords="2763,1366,2898,1327,1364">sera</WORD>
<WORD coords="2932,1373,3073,1317,1366">3xv.</WORD>
</LINE>
<LINE>
<WORD coords="700,1450,727,1407,1454">3</WORD>
<WORD coords="778,1444,860,1395,1444">8t.</WORD>
<WORD coords="926,1448,966,1408,1450">::</WORD>
<WORD coords="1020,1448,1150,1394,1448">\6v.</WORD>
<WORD coords="1215,1449,1233,1412,1454">:</WORD>
<WORD coords="1275,1452,1370,1408,1451">xt.</WORD>
<WORD coords="1467,1450,1563,1394,1449">De</WORD>
<WORD coords="1610,1453,1774,1408,1452">estas</WORD>
<WORD coords="1830,1454,1942,1397,1453">dos</WORD>
<WORD coords="2005,1476,2444,1407,1460">proporciones</WORD>
<WORD coords="2491,1466,2554,1430,1465">se</WORD>
<WORD coords="2617,1476,2856,1412,1470">deduce</WORD>
<WORD coords="2920,1492,3061,1435,1474">que:</WORD>
</LINE>
<LINE>
<WORD coords="728,1594,734,1550,1594">I</WORD>
<WORD coords="785,1550,823,1502,1550">2</WORD>
<WORD coords="830,1548,837,1545,1560">-</WORD>
<WORD coords="871,1530,909,1496,1548">*</WORD>
<WORD coords="969,1590,1136,1497,1567">fftQ</WORD>
<WORD coords="1180,1574,1469,1500,1554">plantear</WORD>
<WORD coords="1526,1558,1649,1518,1557">una</WORD>
<WORD coords="1703,1578,1876,1506,1558">regla</WORD>
<WORD coords="1920,1562,1992,1504,1561">de</WORD>
<WORD coords="2049,1564,2175,1517,1563">tres</WORD>
<WORD coords="2228,1570,2461,1510,1566">directa</WORD>
<WORD coords="2535,1596,2791,1515,1572">simple,</WORD>
<WORD coords="2840,1581,3075,1528,1578">cuando</WORD>
</LINE>
<LINE>
<WORD coords="699,1656,758,1599,1655">el</WORD>
<WORD coords="805,1659,1062,1609,1657">termino</WORD>
<WORD coords="1107,1681,1428,1605,1660">incógnito</WORD>
<WORD coords="1486,1665,1590,1624,1663">sea</WORD>
<WORD coords="1645,1666,1851,1625,1664">menor</WORD>
<WORD coords="1894,1692,2010,1630,1668">que</WORD>
<WORD coords="2062,1672,2120,1617,1672">el</WORD>
<WORD coords="2171,1676,2454,1620,1674">conocido</WORD>
<WORD coords="2505,1679,2579,1622,1678">de</WORD>
<WORD coords="2620,1682,2692,1644,1681">su</WORD>
<WORD coords="2724,1704,2975,1630,1683">especie,</WORD>
<WORD coords="3006,1688,3077,1644,1686">se</WORD>
</LINE>
<LINE>
<WORD coords="694,1767,857,1705,1762">hará</WORD>
<WORD coords="910,1766,1042,1718,1764">esta</WORD>
<WORD coords="1076,1788,1455,1714,1766">proporción</WORD>
<WORD coords="1487,1772,1513,1734,1774">:</WORD>
<WORD coords="1561,1772,1619,1715,1771">el</WORD>
<WORD coords="1677,1792,1893,1734,1771">mayor</WORD>
<WORD coords="1952,1776,2030,1720,1775">de</WORD>
<WORD coords="2093,1777,2147,1721,1776">la</WORD>
<WORD coords="2214,1780,2240,1730,1780">|</WORD>
<WORD coords="2251,1782,2267,1763,1782">4</WORD>
<WORD coords="2292,1758,2331,1727,1770">*</WORD>
<WORD coords="2410,1799,2655,1729,1782">especie</WORD>
<WORD coords="2695,1789,2710,1751,1788">:</WORD>
<WORD coords="2742,1788,2807,1752,1787">es</WORD>
<WORD coords="2844,1788,2876,1736,1788">á</WORD>
<WORD coords="2909,1791,3084,1748,1789">cua¡#</WORD>
</LINE>
<LINE>
<WORD coords="693,1886,913,1813,1869">quiera</WORD>
<WORD coords="962,1910,1060,1816,1874">de^</WORD>
<WORD coords="1098,1874,1194,1819,1873">los</WORD>
<WORD coords="1258,1876,1427,1828,1874">otros</WORD>
<WORD coords="1485,1878,1602,1819,1878">dos</WORD>
<WORD coords="1665,1883,1968,1823,1880">términos</WORD>
<WORD coords="2017,1885,2065,1845,1885">;;</WORD>
<WORD coords="2109,1886,2290,1846,1884">como</WORD>
<WORD coords="2329,1888,2393,1830,1887">el</WORD>
<WORD coords="2433,1893,2699,1833,1890">termino</WORD>
<WORD coords="2744,1915,2864,1855,1895">que</WORD>
<WORD coords="2922,1917,3077,1861,1904">que»</WORD>
</LINE>
<LINE>
<WORD coords="693,1976,773,1915,1976">da</WORD>
<WORD coords="805,1979,823,1939,1980">;</WORD>
<WORD coords="878,1979,947,1941,1977">es</WORD>
<WORD coords="1008,1979,1064,1923,1978">ai</WORD>
<WORD coords="1123,2003,1460,1923,1981">incógnito.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="864,2089,1168,2027,2087">Cuestión</WORD>
<WORD coords="1207,2090,1258,2041,2090">I.</WORD>
<WORD coords="1286,2071,1324,2040,2084">*</WORD>
<WORD coords="1387,2094,1486,2034,2092">Un</WORD>
<WORD coords="1516,2094,1727,2053,2092">correo</WORD>
<WORD coords="1778,2115,1971,2048,2095">gasta</WORD>
<WORD coords="2023,2098,2099,2044,2097">10</WORD>
<WORD coords="2146,2100,2281,2043,2100">días</WORD>
<WORD coords="2323,2103,2395,2062,2102">en</WORD>
<WORD coords="2447,2107,2647,2050,2106">andar</WORD>
<WORD coords="2682,2109,2802,2055,2109">120</WORD>
<WORD coords="2831,2135,3070,2050,2109">leguas^</WORD>
</LINE>
<LINE>
<WORD coords="701,2214,744,2151,2207">$</WORD>
<WORD coords="779,2196,1045,2134,2194">Cuantos</WORD>
<WORD coords="1101,2196,1238,2138,2195">días</WORD>
<WORD coords="1286,2224,1588,2144,2197">empleara</WORD>
<WORD coords="1628,2203,1706,2163,2202">en</WORD>
<WORD coords="1755,2206,1950,2147,2202">andar</WORD>
<WORD coords="2009,2205,2131,2152,2203">360</WORD>
<WORD coords="2184,2228,2443,2152,2207">leguas?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="956,2302,1108,2244,2300">Para</WORD>
<WORD coords="1148,2306,1404,2243,2303">hacerse</WORD>
<WORD coords="1455,2327,1641,2267,2304">cargo</WORD>
<WORD coords="1696,2308,1772,2252,2308">de</WORD>
<WORD coords="1829,2308,1919,2252,2307">los</WORD>
<WORD coords="1969,2313,2266,2256,2310">términos</WORD>
<WORD coords="2326,2315,2401,2260,2314">de</WORD>
<WORD coords="2459,2316,2572,2263,2316">l,«</WORD>
<WORD coords="2621,2341,2665,2281,2330">y</WORD>
<WORD coords="2720,2320,2756,2272,2315">2</WORD>
<WORD coords="2805,2297,2849,2264,2297">tt</WORD>
<WORD coords="2896,2340,3073,2284,2321">espe-</WORD>
</LINE>
<LINE>
<WORD coords="693,2411,795,2349,2409">cie</WORD>
<WORD coords="824,2425,845,2396,2425">f</WORD>
<WORD coords="873,2409,939,2370,2409">se</WORD>
<WORD coords="982,2414,1321,2354,2410">escribirán</WORD>
<WORD coords="1354,2412,1446,2355,2411">los</WORD>
<WORD coords="1492,2413,1671,2356,2412">datos</WORD>
<WORD coords="1730,2434,1769,2378,2426">y</WORD>
<WORD coords="1817,2415,1869,2360,2414">el</WORD>
<WORD coords="1919,2438,2238,2360,2416">incógnito</WORD>
<WORD coords="2293,2421,2393,2365,2420">del</WORD>
<WORD coords="2448,2424,2674,2368,2423">mismo</WORD>
<WORD coords="2716,2427,2909,2371,2425">modo</WORD>
<WORD coords="2940,2446,3063,2389,2431">que</WORD>
</LINE>
<LINE>
<WORD coords="691,2519,760,2477,2515">»e</WORD>
<WORD coords="813,2519,1114,2460,2516">enuncian</WORD>
<WORD coords="1144,2531,1161,2502,2531">,</WORD>
<WORD coords="1193,2534,1629,2461,2518">separándolos</WORD>
<WORD coords="1674,2521,1786,2481,2519">con</WORD>
<WORD coords="1844,2523,2052,2485,2521">comas</WORD>
<WORD coords="2107,2525,2182,2474,2524">de</WORD>
<WORD coords="2213,2527,2339,2481,2524">este</WORD>
<WORD coords="2377,2528,2565,2475,2527">modo</WORD>
<WORD coords="2601,2536,2618,2499,2535">;</WORD>
<WORD coords="2658,2534,2783,2477,2533">iQd.</WORD>
<WORD coords="2827,2546,2842,2523,2546">,</WORD>
<WORD coords="2879,2558,3066,2479,2537">120/.,</WORD>
</LINE>
<LINE>
<WORD coords="694,2637,832,2566,2622">xd.,</WORD>
<WORD coords="863,2624,1023,2568,2624">360/.</WORD>
<WORD coords="1066,2643,1349,2567,2624">Después</WORD>
<WORD coords="1385,2625,1460,2569,2625">de</WORD>
<WORD coords="1510,2643,1857,2582,2626">penetrarse</WORD>
<WORD coords="1916,2630,2059,2573,2628">bien</WORD>
<WORD coords="2111,2629,2186,2574,2628">de</WORD>
<WORD coords="2223,2630,2275,2577,2628">ia</WORD>
<WORD coords="2332,2635,2608,2579,2632">cuestión</WORD>
<WORD coords="2643,2647,2657,2624,2641">,</WORD>
<WORD coords="2689,2636,2752,2602,2635">se</WORD>
<WORD coords="2798,2643,3064,2584,2639">observa</WORD>
</LINE>
<LINE>
<WORD coords="696,2748,820,2692,2729">que</WORD>
<WORD coords="877,2730,934,2674,2730">el</WORD>
<WORD coords="988,2730,1248,2691,2729">numero</WORD>
<WORD coords="1306,2731,1385,2676,2730">de</WORD>
<WORD coords="1438,2732,1574,2673,2731">dias</WORD>
<WORD coords="1635,2750,1752,2695,2733">que</WORD>
<WORD coords="1802,2736,2128,2679,2734">buscamos</WORD>
<WORD coords="2177,2738,2243,2701,2738">es</WORD>
<WORD coords="2304,2760,2518,2703,2738">mayor</WORD>
<WORD coords="2576,2759,2694,2706,2741">que</WORD>
<WORD coords="2750,2743,2802,2690,2743">el</WORD>
<WORD coords="2862,2745,3057,2709,2744">cono,</WORD>
</LINE>
<LINE>
<WORD coords="695,2835,842,2778,2834">cido</WORD>
<WORD coords="902,2839,981,2777,2837">de</WORD>
<WORD coords="1056,2837,1130,2800,2836">su</WORD>
<WORD coords="1187,2855,1428,2783,2836">especie</WORD>
<WORD coords="1457,2854,1477,2805,2854">j</WORD>
<WORD coords="1534,2857,1764,2802,2838">porque</WORD>
<WORD coords="1824,2840,1856,2786,2841">á</WORD>
<WORD coords="1918,2841,2045,2805,2840">mas</WORD>
<WORD coords="2115,2864,2326,2788,2843">leguas</WORD>
<WORD coords="2402,2847,2532,2811,2845">mas</WORD>
<WORD coords="2584,2847,2717,2791,2846">días</WORD>
<WORD coords="2768,2849,2831,2812,2848">se</WORD>
<WORD coords="2892,2852,3057,2795,2850">debe</WORD>
</LINE>
<LINE>
<WORD coords="696,2944,908,2886,2941">tardar</WORD>
<WORD coords="965,2945,1019,2887,2944">el</WORD>
<WORD coords="1079,2944,1295,2907,2942">correo</WORD>
<WORD coords="1327,2959,1346,2932,2959">,</WORD>
<WORD coords="1410,2963,1447,2909,2956">y</WORD>
<WORD coords="1512,2946,1565,2892,2944">el</WORD>
<WORD coords="1620,2962,1862,2889,2943">planteo</WORD>
<WORD coords="1926,2947,2060,2909,2945">sera</WORD>
<WORD coords="2119,2949,2175,2895,2948">el</WORD>
<WORD coords="2228,2971,2535,2896,2951">siguiente</WORD>
<WORD coords="2565,2958,2583,2921,2957">;</WORD>
<WORD coords="2616,2957,2770,2900,2956">120/.</WORD>
<WORD coords="2824,2957,2840,2920,2957">:</WORD>
<WORD coords="2889,2963,3053,2902,2959">o60A</WORD>
</LINE>
<LINE>
<WORD coords="771,3057,907,2992,3048">\0,d.</WORD>
<WORD coords="953,3054,970,3015,3058">:</WORD>
<WORD coords="1015,3056,1120,2996,3053">xd.</WORD>
<WORD coords="1167,3024,1274,3010,3043">—</WORD>
<WORD coords="1318,3051,1439,3000,3053">360</WORD>
<WORD coords="1503,3074,1569,3009,3074">X</WORD>
<WORD coords="1623,3051,1695,2994,3051">Io</WORD>
<WORD coords="1735,3060,1833,3018,3061">«</WORD>
<WORD coords="1900,3054,1977,3004,3052">30</WORD>
<WORD coords="2033,3078,2078,2991,3078">4</WORD>
<WORD coords="2074,3058,2134,3018,3057">ta</WORD>
<WORD coords="2137,3062,2189,3017,3061">*&lt;</WORD>
</LINE>
<LINE>
<WORD coords="1433,3161,1549,3086,3161">i~¡0</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="780,3242,920,3186,3242">179.</WORD>
<WORD coords="1010,3244,1271,3184,3241">Escolio.</WORD>
<WORD coords="1324,3246,1524,3188,3244">Como</WORD>
<WORD coords="1557,3247,1746,3208,3245">razón</WORD>
<WORD coords="1803,3266,2180,3193,3247">geométrica</WORD>
<WORD coords="2228,3250,2292,3212,3249">es</WORD>
<WORD coords="2351,3251,2410,3194,3249">lo</WORD>
<WORD coords="2464,3252,2690,3194,3251">mismo</WORD>
<WORD coords="2745,3271,2863,3215,3252">que</WORD>
<WORD coords="2898,3271,3047,3216,3255">que-</WORD>
</LINE>
<LINE>
<WORD coords="687,3345,887,3285,3344">brado</WORD>
<WORD coords="919,3363,937,3334,3358">,</WORD>
<WORD coords="996,3348,1072,3311,3347">en</WORD>
<WORD coords="1119,3366,1235,3312,3349">que</WORD>
<WORD coords="1295,3349,1349,3294,3348">el</WORD>
<WORD coords="1405,3353,1781,3297,3350">numerador</WORD>
<WORD coords="1824,3354,1888,3319,3353">es</WORD>
<WORD coords="1937,3353,1991,3299,3352">el</WORD>
<WORD coords="2039,3357,2440,3302,3355">antecedente</WORD>
<WORD coords="2502,3376,2539,3323,3366">y</WORD>
<WORD coords="2584,3356,2640,3304,3355">el</WORD>
<WORD coords="2685,3361,3046,3303,3357">denomina-</WORD>
</LINE>
<LINE>
<WORD coords="689,3452,809,3394,3451">dor</WORD>
<WORD coords="853,3451,908,3398,3451">el</WORD>
<WORD coords="959,3457,1366,3410,3455">consecuente</WORD>
<WORD coords="1415,3481,1636,3401,3465">[159],</WORD>
<WORD coords="1693,3459,1755,3423,3459">se</WORD>
<WORD coords="1812,3460,1842,3424,3460">s</WORD>
<WORD coords="1845,3437,1862,3405,3437">;</WORD>
<WORD coords="1871,3481,1989,3426,3461">gue</WORD>
<WORD coords="2060,3478,2177,3425,3461">que</WORD>
<WORD coords="2236,3463,2298,3428,3462">se</WORD>
<WORD coords="2362,3463,2418,3409,3462">la</WORD>
<WORD coords="2478,3463,2705,3408,3461">deberá</WORD>
<WORD coords="2765,3472,3048,3407,3461">simplifi-</WORD>
</LINE>
<LINE>
<WORD coords="688,3560,796,3521,3560">car</WORD>
<WORD coords="849,3582,1117,3506,3562">siempre</WORD>
<WORD coords="1173,3585,1291,3529,3566">que</WORD>
<WORD coords="1340,3566,1406,3529,3565">se</WORD>
<WORD coords="1456,3584,1654,3514,3568">pueda</WORD>
<WORD coords="1691,3581,1707,3558,3576">,</WORD>
<WORD coords="1756,3572,2123,3513,3568">dividiendo</WORD>
<WORD coords="2184,3571,2273,3516,3569">los</WORD>
<WORD coords="2333,3573,2444,3517,3571">dos</WORD>
<WORD coords="2490,3574,2790,3518,3570">términos</WORD>
<WORD coords="2847,3570,2923,3515,3569">de</WORD>
<WORD coords="2986,3572,3047,3520,3570">ia</WORD>
</LINE>
<LINE>
<WORD coords="687,3672,881,3626,3669">rezón</WORD>
<WORD coords="933,3688,1042,3634,3670">por</WORD>
<WORD coords="1088,3673,1168,3637,3673">un</WORD>
<WORD coords="1219,3676,1445,3618,3674">mismo</WORD>
<WORD coords="1501,3678,1782,3637,3674">numero.</WORD>
<WORD coords="1878,3676,1993,3621,3675">Asi</WORD>
<WORD coords="2056,3676,2108,3624,3674">la</WORD>
<WORD coords="2143,3695,2507,3623,3676">proporción</WORD>
<WORD coords="2554,3681,2819,3622,3678">anterior</WORD>
<WORD coords="2855,3696,2876,3665,3696">y</WORD>
<WORD coords="2909,3677,3053,3620,3676">dea»</WORD>
</LINE>
<LINE>
<WORD coords="691,3798,843,3736,3779">pues</WORD>
<WORD coords="889,3780,967,3721,3778">de</WORD>
<WORD coords="1021,3794,1420,3722,3779">simplificada</WORD>
<WORD coords="1451,3798,1470,3771,3790">,</WORD>
<WORD coords="1515,3782,1581,3746,3781">es</WORD>
<WORD coords="1622,3784,1696,3725,3782">1/.</WORD>
<WORD coords="1737,3786,1843,3726,3784">Si.</WORD>
<WORD coords="1896,3789,1935,3749,3785">;:</WORD>
<WORD coords="1991,3783,2149,3728,3782">lOi.</WORD>
<WORD coords="2208,3785,2225,3750,3785">:</WORD>
<WORD coords="2274,3785,2367,3730,3784">xd</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="947,3885,1158,3827,3883">Cuesti</WORD>
<WORD coords="1209,3885,1244,3848,3885">n</WORD>
<WORD coords="1299,3890,1357,3837,3888">2.</WORD>
<WORD coords="1382,3872,1418,3833,3877">°*</WORD>
<WORD coords="1435,3914,1507,3838,3884">*¿</WORD>
<WORD coords="1549,3889,1818,3829,3887">Cuantas</WORD>
<WORD coords="1879,3889,2066,3835,3888">mulos</WORD>
<WORD coords="2117,3890,2181,3852,3889">se</WORD>
<WORD coords="2233,3891,2615,3846,3889">necesitaran</WORD>
<WORD coords="2671,3907,2829,3845,3891">para</WORD>
<WORD coords="2884,3894,3055,3844,3892">tras*</WORD>
</LINE>
<LINE>
<WORD coords="675,4013,909,3942,3993">portar</WORD>
<WORD coords="955,3996,1030,3935,3995">de</WORD>
<WORD coords="1086,4016,1375,3934,3994">AbaHcay</WORD>
<WORD coords="1439,4001,1503,3950,3999">ai</WORD>
<WORD coords="1560,4000,1759,3940,3999">Cuzco</WORD>
<WORD coords="1813,4000,1934,3945,3999">606</WORD>
<WORD coords="1982,4000,2238,3940,3999">arrobas</WORD>
<WORD coords="2296,3999,2370,3940,3998">de</WORD>
<WORD coords="2419,4001,2633,3961,4001">#zuc.ü)</WORD>
<WORD coords="2671,4022,2698,3983,4022">§</WORD>
<WORD coords="2733,3998,2802,3960,3997">en</WORD>
<WORD coords="2850,3999,2907,3942,3999">el</WORD>
<WORD coords="2944,4009,3051,3937,4007">üf*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0140.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0141.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0141.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1336,544,1544,448,540">131</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="266,661,491,589,636">puesto</WORD>
<WORD coords="550,640,620,581,639">de</WORD>
<WORD coords="662,664,774,603,642">que</WORD>
<WORD coords="821,644,861,591,649">6</WORD>
<WORD coords="906,650,1100,590,647">malas</WORD>
<WORD coords="1153,679,1383,601,656">tfaspot</WORD>
<WORD coords="1406,660,1512,612,658">tan</WORD>
<WORD coords="1573,662,1647,611,662">72</WORD>
<WORD coords="1703,670,1957,613,667">arrobas</WORD>
<WORD coords="1991,670,2030,614,670">P</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="522,748,788,688,745">Escribo</WORD>
<WORD coords="841,768,1107,696,752">primero</WORD>
<WORD coords="1150,756,1217,700,756">h&gt;</WORD>
<WORD coords="1267,766,1542,707,761">cuestión</WORD>
<WORD coords="1593,778,1907,692,773">con&amp;rme</WORD>
<WORD coords="1941,778,2005,742,777">se</WORD>
<WORD coords="2053,781,2150,743,780">me</WORD>
<WORD coords="2187,790,2444,735,786">enuncia</WORD>
<WORD coords="2531,800,2635,738,798">del</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="270,848,461,790,847">modo</WORD>
<WORD coords="515,871,818,794,851">siguiente</WORD>
<WORD coords="856,863,878,819,863">s</WORD>
<WORD coords="1070,878,1089,849,871">,</WORD>
<WORD coords="1134,867,1312,808,865">606*.</WORD>
<WORD coords="1348,888,1370,847,888">f</WORD>
<WORD coords="1414,872,1527,814,868">Sin.</WORD>
<WORD coords="1563,884,1578,861,882">,</WORD>
<WORD coords="1641,880,1774,823,878">72*.</WORD>
<WORD coords="1806,895,1822,845,895">;</WORD>
<WORD coords="1853,902,1892,845,902">y</WORD>
<WORD coords="1951,902,2218,829,887">después</WORD>
<WORD coords="2281,894,2356,839,893">de</WORD>
<WORD coords="2416,907,2632,830,903">cW</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="268,952,376,912,951">var</WORD>
<WORD coords="421,972,540,917,954">que</WORD>
<WORD coords="585,960,778,901,958">busco</WORD>
<WORD coords="833,963,912,927,963">un</WORD>
<WORD coords="957,970,1219,929,967">numero</WORD>
<WORD coords="1314,994,1527,934,973">mayor</WORD>
<WORD coords="1564,988,1578,966,988">,</WORD>
<WORD coords="1618,1004,1776,920,980">hago</WORD>
<WORD coords="1831,987,1885,930,986">el</WORD>
<WORD coords="1940,1007,2182,935,992">planteo</WORD>
<WORD coords="2252,1017,2371,963,999">que</WORD>
<WORD coords="2429,1028,2629,945,1007">sigue:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="268,1061,403,1003,1059">72a.</WORD>
<WORD coords="440,1062,456,1023,1062">s</WORD>
<WORD coords="684,1071,725,1028,1073">:;</WORD>
<WORD coords="775,1074,958,1013,1072">606a.</WORD>
<WORD coords="1013,1078,1031,1040,1081">;</WORD>
<WORD coords="1251,1075,1361,1018,1083">^</WORD>
<WORD coords="1387,1081,1523,1006,1081">%Q6</WORD>
<WORD coords="1557,1109,1639,1015,1109">^</WORD>
<WORD coords="1662,1149,1858,1007,1149">^</WORD>
<WORD coords="1920,1096,2002,1047,1096">50</WORD>
<WORD coords="2052,1103,2242,1048,1101">muías</WORD>
<WORD coords="2290,1132,2369,1049,1120">+</WORD>
<WORD coords="2424,1108,2499,1059,1107">36</WORD>
<WORD coords="2560,1116,2635,1061,1116">^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1512,1194,1584,1140,1196">72</WORD>
<WORD coords="2416,1216,2543,1149,1195">7¿~</WORD>
</LINE>
<LINE>
<WORD coords="263,1252,425,1195,1249">muía</WORD>
<WORD coords="457,1277,479,1240,1275">,</WORD>
<WORD coords="536,1272,655,1216,1254">que</WORD>
<WORD coords="721,1282,1180,1201,1263">simplificando</WORD>
<WORD coords="1228,1271,1296,1231,1271">es</WORD>
<WORD coords="1376,1273,1461,1223,1273">50</WORD>
<WORD coords="1533,1300,1616,1220,1300">-f</WORD>
<WORD coords="1670,1320,1722,1229,1302">£</WORD>
<WORD coords="1785,1284,2001,1227,1283">muías,</WORD>
<WORD coords="2085,1290,2245,1230,1288">Pero</WORD>
<WORD coords="2306,1297,2486,1256,1294">como</WORD>
<WORD coords="2545,1309,2628,1270,1307">no</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1690,1384,1726,1337,1384">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="265,1464,468,1386,1441">puede</WORD>
<WORD coords="524,1448,713,1389,1447">haber</WORD>
<WORD coords="761,1454,968,1394,1451">media</WORD>
<WORD coords="1034,1460,1196,1400,1457">muía</WORD>
<WORD coords="1225,1474,1245,1445,1469">,</WORD>
<WORD coords="1300,1461,1365,1422,1460">se</WORD>
<WORD coords="1405,1470,1732,1407,1463">sustituirá</WORD>
<WORD coords="1779,1471,1856,1433,1470">un</WORD>
<WORD coords="1922,1477,2170,1415,1474">borrico</WORD>
<WORD coords="2220,1499,2340,1445,1484">que</WORD>
<WORD coords="2399,1514,2629,1451,1492">cargue</WORD>
</LINE>
<LINE>
<WORD coords="265,1547,323,1489,1546">la</WORD>
<WORD coords="381,1552,574,1494,1549">mitad</WORD>
<WORD coords="622,1556,698,1500,1555">de</WORD>
<WORD coords="750,1557,809,1501,1556">la</WORD>
<WORD coords="869,1581,1048,1521,1558">carga</WORD>
<WORD coords="1100,1564,1178,1508,1563">de</WORD>
<WORD coords="1228,1568,1343,1529,1566">una</WORD>
<WORD coords="1398,1570,1564,1524,1569">muía</WORD>
<WORD coords="1599,1588,1614,1559,1580">,</WORD>
<WORD coords="1647,1573,1687,1517,1573">ó</WORD>
<WORD coords="1741,1579,2014,1521,1575">también</WORD>
<WORD coords="2084,1585,2203,1547,1583">una</WORD>
<WORD coords="2252,1594,2413,1538,1591">muía</WORD>
<WORD coords="2473,1616,2625,1563,1603">pero</WORD>
</LINE>
<LINE>
<WORD coords="264,1672,385,1615,1654">que</WORD>
<WORD coords="450,1673,559,1620,1657">por</WORD>
<WORD coords="599,1663,764,1617,1660">estar</WORD>
<WORD coords="814,1668,967,1608,1666">flaca</WORD>
<WORD coords="1033,1696,1367,1615,1671">equivalga</WORD>
<WORD coords="1428,1677,1460,1620,1677">á</WORD>
<WORD coords="1517,1678,1574,1621,1677">la</WORD>
<WORD coords="1635,1681,1828,1626,1679">mitad</WORD>
<WORD coords="1890,1686,1968,1630,1685">de</WORD>
<WORD coords="2028,1692,2162,1644,1688">otra</WORD>
<WORD coords="2211,1703,2483,1639,1695">robusta.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="517,1774,813,1713,1768">Cuestión</WORD>
<WORD coords="864,1777,920,1724,1770">3.</WORD>
<WORD coords="944,1758,983,1721,1790">«</WORD>
<WORD coords="1036,1783,1102,1722,1781">Si</WORD>
<WORD coords="1145,1782,1184,1731,1786">2</WORD>
<WORD coords="1212,1783,1346,1725,1781">días</WORD>
<WORD coords="1394,1786,1596,1729,1785">tienen</WORD>
<WORD coords="1645,1787,1723,1737,1788">48</WORD>
<WORD coords="1785,1793,1974,1734,1790">horas</WORD>
<WORD coords="2019,1819,2042,1762,1808">¿</WORD>
<WORD coords="2075,1797,2111,1749,1797">2</WORD>
<WORD coords="2141,1805,2419,1760,1800">semanas</WORD>
<WORD coords="2443,1816,2627,1772,1812">cuan,</WORD>
</LINE>
<LINE>
<WORD coords="262,1871,358,1818,1869">tas</WORD>
<WORD coords="418,1874,602,1815,1873">horas</WORD>
<WORD coords="658,1882,966,1824,1879">tendranl</WORD>
<WORD coords="1058,1905,1231,1831,1887">Aquí</WORD>
<WORD coords="1287,1893,1445,1835,1891">debo</WORD>
<WORD coords="1502,1896,1753,1840,1893">reducir</WORD>
<WORD coords="1804,1898,1889,1840,1896">las</WORD>
<WORD coords="1947,1901,1985,1850,1901">2</WORD>
<WORD coords="2049,1908,2327,1866,1905">semanas</WORD>
<WORD coords="2375,1913,2407,1857,1913">á</WORD>
<WORD coords="2463,1923,2597,1862,1920">días</WORD>
</LINE>
<LINE>
<WORD coords="263,1994,409,1937,1976">para</WORD>
<WORD coords="456,1997,574,1944,1981">que</WORD>
<WORD coords="635,1984,725,1928,1983">los</WORD>
<WORD coords="775,1992,1071,1937,1989">términos</WORD>
<WORD coords="1104,1994,1140,1945,1997">2</WORD>
<WORD coords="1191,1995,1322,1939,1994">dias</WORD>
<WORD coords="1366,2018,1409,1961,2009">y</WORD>
<WORD coords="1450,2000,1487,1951,2000">2</WORD>
<WORD coords="1542,2004,1824,1965,2002">semanas</WORD>
<WORD coords="1888,2008,2024,1969,2007">sean</WORD>
<WORD coords="2080,2011,2157,1953,2011">de</WORD>
<WORD coords="2221,2017,2338,1977,2014">una</WORD>
<WORD coords="2398,2036,2627,1971,2027">misma</WORD>
</LINE>
<LINE>
<WORD coords="259,2104,552,2031,2085">especie;</WORD>
<WORD coords="595,2096,796,2032,2092">hecho</WORD>
<WORD coords="847,2097,981,2052,2096">esto</WORD>
<WORD coords="1044,2107,1475,2045,2101">escribiremos</WORD>
<WORD coords="1532,2108,1622,2053,2107">asi</WORD>
<WORD coords="1658,2117,1675,2077,2116">;</WORD>
<WORD coords="1727,2115,1827,2055,2109">2d.</WORD>
<WORD coords="1860,2128,1878,2100,2122">,</WORD>
<WORD coords="1938,2117,2078,2062,2116">48h.</WORD>
<WORD coords="2119,2130,2136,2105,2130">,</WORD>
<WORD coords="2176,2123,2304,2065,2121">t4rd</WORD>
<WORD coords="2319,2140,2340,2109,2140">f</WORD>
<WORD coords="2362,2131,2467,2070,2128">xh.</WORD>
<WORD coords="2569,2129,2614,2100,2129">«</WORD>
</LINE>
<LINE>
<WORD coords="259,2209,710,2135,2192">plantearemos</WORD>
<WORD coords="762,2204,945,2163,2202">como</WORD>
<WORD coords="1000,2227,1178,2149,2205">sigue</WORD>
<WORD coords="1208,2211,1222,2175,2211">:</WORD>
<WORD coords="1274,2213,1377,2154,2209">2d.</WORD>
<WORD coords="1413,2212,1426,2177,2212">:</WORD>
<WORD coords="1461,2219,1606,2156,2214">48A.</WORD>
<WORD coords="1743,2221,1873,2163,2219">14¿.</WORD>
<WORD coords="1914,2223,1932,2183,2223">:</WORD>
<WORD coords="2140,2241,2235,2200,2236">^</WORD>
<WORD coords="2275,2232,2353,2180,2231">48</WORD>
<WORD coords="2402,2246,2469,2187,2228">y</WORD>
<WORD coords="2502,2152,2525,2122,2181">&apos;</WORD>
<WORD coords="2546,2247,2624,2194,2247">í4e</WORD>
</LINE>
<LINE>
<WORD coords="257,2292,363,2252,2291">sís</WORD>
<WORD coords="423,2300,539,2248,2299">336</WORD>
<WORD coords="583,2305,771,2246,2303">horas</WORD>
<WORD coords="2316,2276,2382,2265,2276">—</WORD>
<WORD coords="2380,2278,2439,2267,2281">~~</WORD>
<WORD coords="2551,2290,2614,2274,2290">—</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="591,2475,905,2412,2471">REGLA</WORD>
<WORD coords="959,2480,1082,2419,2478">DE</WORD>
<WORD coords="1158,2485,1388,2423,2483">TRES</WORD>
<WORD coords="1436,2497,1782,2429,2490">SIMPLE</WORD>
<WORD coords="1831,2506,2274,2435,2497">INVERSA.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="332,2632,468,2579,2635">Í80.</WORD>
<WORD coords="567,2656,850,2578,2636">Después</WORD>
<WORD coords="907,2643,983,2584,2642">de</WORD>
<WORD coords="1046,2649,1307,2606,2646">conocer</WORD>
<WORD coords="1348,2673,1464,2615,2652">que</WORD>
<WORD coords="1495,2656,1614,2618,2655">una</WORD>
<WORD coords="1665,2680,1833,2603,2656">regla</WORD>
<WORD coords="1893,2662,1969,2604,2662">de</WORD>
<WORD coords="2021,2665,2144,2619,2664">tres</WORD>
<WORD coords="2205,2672,2271,2633,2671">es</WORD>
<WORD coords="2338,2688,2611,2619,2680">inversa*</WORD>
</LINE>
<LINE>
<WORD coords="235,2757,548,2692,2734">reciproca</WORD>
<WORD coords="607,2743,645,2685,2751">ó</WORD>
<WORD coords="700,2764,1039,2690,2745">indirecta,</WORD>
<WORD coords="1111,2774,1347,2715,2754">porque</WORD>
<WORD coords="1416,2759,1448,2706,2759">á</WORD>
<WORD coords="1510,2764,1758,2706,2761">medida</WORD>
<WORD coords="1823,2785,1941,2731,2767">que</WORD>
<WORD coords="1997,2776,2285,2730,2773">aumenta</WORD>
<WORD coords="2346,2782,2424,2746,2782">un</WORD>
<WORD coords="2486,2789,2603,2750,2787">nu-</WORD>
</LINE>
<LINE>
<WORD coords="237,2841,409,2801,2840">mero</WORD>
<WORD coords="444,2857,459,2832,2862">,</WORD>
<WORD coords="521,2874,874,2791,2849">disminuye</WORD>
<WORD coords="928,2855,983,2802,2855">el</WORD>
<WORD coords="1049,2859,1185,2814,2857">otro</WORD>
<WORD coords="1232,2881,1272,2824,2874">y</WORD>
<WORD coords="1325,2862,1379,2808,2862">al</WORD>
<WORD coords="1441,2869,1750,2814,2866">contrario</WORD>
<WORD coords="1784,2893,1805,2839,2893">;</WORD>
<WORD coords="1845,2879,2140,2828,2875">tratemos</WORD>
<WORD coords="2201,2884,2278,2825,2883">de</WORD>
<WORD coords="2337,2895,2603,2840,2890">enseñar</WORD>
</LINE>
<LINE>
<WORD coords="235,2948,311,2905,2948">SU</WORD>
<WORD coords="361,2968,641,2896,2951">planteo,</WORD>
<WORD coords="699,2964,1094,2904,2959">resolviendo</WORD>
<WORD coords="1153,2965,1206,2911,2964">la</WORD>
<WORD coords="1261,2990,1593,2914,2969">siguiente»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="484,3063,783,3002,3059">Cuestión</WORD>
<WORD coords="852,3066,902,3017,3071">1.</WORD>
<WORD coords="931,3049,968,3015,3065">«</WORD>
<WORD coords="1077,3073,1155,3015,3072">Se</WORD>
<WORD coords="1199,3073,1340,3017,3072">sabe</WORD>
<WORD coords="1390,3098,1503,3040,3076">que</WORD>
<WORD coords="1533,3078,1567,3029,3080">3</WORD>
<WORD coords="1608,3082,1865,3023,3080">caballos</WORD>
<WORD coords="1910,3096,2227,3046,3086">consumen</WORD>
<WORD coords="2288,3099,2358,3061,3098">en</WORD>
<WORD coords="2384,3101,2425,3049,3101">4</WORD>
<WORD coords="2459,3106,2595,3047,3103">días</WORD>
</LINE>
<LINE>
<WORD coords="230,3161,311,3109,3169">24</WORD>
<WORD coords="368,3185,592,3126,3163">cargas</WORD>
<WORD coords="647,3170,718,3115,3169">de</WORD>
<WORD coords="763,3197,980,3115,3179">aájkdfü</WORD>
<WORD coords="1017,3182,1038,3144,3185">;</WORD>
<WORD coords="1066,3179,1133,3143,3178">se</WORD>
<WORD coords="1178,3205,1494,3140,3183">pregunta</WORD>
<WORD coords="1522,3214,1661,3153,3190">¿en</WORD>
<WORD coords="1715,3196,1965,3146,3194">mantos</WORD>
<WORD coords="2005,3204,2142,3143,3200">días</WORD>
<WORD coords="2191,3214,2590,3165,3206">consumían</WORD>
</LINE>
<LINE>
<WORD coords="228,3268,270,3214,3274">6</WORD>
<WORD coords="320,3273,576,3215,3271">caballos</WORD>
<WORD coords="624,3277,714,3222,3276">Jas</WORD>
<WORD coords="773,3283,1015,3230,3281">mismas</WORD>
<WORD coords="1077,3287,1156,3239,3286">24</WORD>
<WORD coords="1202,3311,1481,3239,3289">cargas?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="479,3390,858,3325,3383">Resolución.</WORD>
<WORD coords="951,3393,1149,3336,3392">Como</WORD>
<WORD coords="1221,3397,1310,3341,3395">los</WORD>
<WORD coords="1371,3399,1405,3350,3400">3</WORD>
<WORD coords="1460,3405,1724,3344,3401">caballos</WORD>
<WORD coords="1786,3411,2003,3368,3407">comen</WORD>
<WORD coords="2086,3412,2237,3355,3411">cada</WORD>
<WORD coords="2295,3427,2441,3359,3414">di*,</WORD>
<WORD coords="2520,3422,2585,3384,3417">se</WORD>
</LINE>
<LINE>
<WORD coords="229,3504,408,3439,3483">í&apos;gae</WORD>
<WORD coords="469,3503,589,3450,3488">que</WORD>
<WORD coords="645,3492,699,3438,3491">el</WORD>
<WORD coords="756,3496,966,3457,3494">comer</WORD>
<WORD coords="1012,3501,1167,3447,3498">ellos</WORD>
<WORD coords="1226,3503,1299,3467,3502">en</WORD>
<WORD coords="1353,3505,1395,3453,3505">4</WORD>
<WORD coords="1452,3506,1585,3450,3504">dias</WORD>
<WORD coords="1645,3527,1929,3455,3511">equivale</WORD>
<WORD coords="1976,3515,2008,3459,3515">á</WORD>
<WORD coords="2057,3517,2255,3471,3515">tomar</WORD>
<WORD coords="2316,3521,2356,3474,3521">4</WORD>
<WORD coords="2406,3523,2492,3492,3520">ve,</WORD>
<WORD coords="2557,3526,2582,3491,3526">s</WORD>
</LINE>
<LINE>
<WORD coords="224,3593,318,3529,3590">los</WORD>
<WORD coords="371,3597,627,3540,3594">mismos</WORD>
<WORD coords="686,3599,722,3547,3605">3</WORD>
<WORD coords="768,3622,1078,3549,3601">caballos,</WORD>
<WORD coords="1120,3605,1179,3551,3604">lo</WORD>
<WORD coords="1224,3625,1342,3571,3607">que</WORD>
<WORD coords="1396,3609,1472,3554,3609">da</WORD>
<WORD coords="1538,3613,1611,3562,3612">12</WORD>
<WORD coords="1653,3620,1920,3557,3616">caballos</WORD>
<WORD coords="1980,3620,2019,3565,3620">ó</WORD>
<WORD coords="2082,3622,2169,3572,3621">3c.</WORD>
<WORD coords="2238,3642,2305,3577,3642">X</WORD>
<WORD coords="2358,3638,2458,3573,3635">4¿,</WORD>
<WORD coords="2495,3637,2507,3599,3637">;</WORD>
<WORD coords="2548,3648,2583,3597,3648">y</WORD>
</LINE>
<LINE>
<WORD coords="228,3699,410,3660,3698">como</WORD>
<WORD coords="468,3703,571,3660,3701">est</WORD>
<WORD coords="605,3701,631,3670,3701">s</WORD>
<WORD coords="686,3707,758,3659,3709">12</WORD>
<WORD coords="808,3711,1072,3653,3708">caballos</WORD>
<WORD coords="1135,3729,1450,3661,3712">producen</WORD>
<WORD coords="1500,3715,1553,3662,3715">el</WORD>
<WORD coords="1610,3721,1808,3662,3719">efecto</WORD>
<WORD coords="1854,3723,1929,3668,3723">de</WORD>
<WORD coords="1981,3730,2295,3678,3727">consumir</WORD>
<WORD coords="2345,3735,2421,3687,3734">24</WORD>
<WORD coords="2455,3735,2583,3700,3734">c^r-</WORD>
</LINE>
<LINE>
<WORD coords="226,3825,336,3769,3807">g^s</WORD>
<WORD coords="370,3827,387,3795,3825">,</WORD>
<WORD coords="445,3814,800,3755,3811">tendremos</WORD>
<WORD coords="857,3815,988,3774,3815">esta</WORD>
<WORD coords="1040,3819,1335,3766,3817">ecuación</WORD>
<WORD coords="1396,3820,1483,3771,3820">3c.</WORD>
<WORD coords="1546,3826,1606,3765,3826">X</WORD>
<WORD coords="1652,3826,1746,3770,3825">4¿/.</WORD>
<WORD coords="1806,3840,1915,3799,3838">s=</WORD>
<WORD coords="1963,3837,2041,3781,3835">34</WORD>
<WORD coords="2087,3855,2241,3796,3832">carg</WORD>
<WORD coords="2292,3854,2308,3807,3852">;</WORD>
<WORD coords="2364,3850,2471,3803,3836">por</WORD>
<WORD coords="2525,3841,2579,3785,3838">el</WORD>
</LINE>
<LINE>
<WORD coords="226,3914,456,3858,3911">mismo</WORD>
<WORD coords="499,3920,831,3863,3916">raciocinio</WORD>
<WORD coords="874,3924,1227,3867,3922">tendremos</WORD>
<WORD coords="1262,3925,1331,3873,3925">6c</WORD>
<WORD coords="1384,3946,1459,3873,3946">X</WORD>
<WORD coords="1506,3930,1608,3876,3929">xd.</WORD>
<WORD coords="1675,3930,1782,3891,3930">=</WORD>
<WORD coords="1839,3938,1916,3890,3937">¿4</WORD>
<WORD coords="1974,3959,2220,3901,3938">cargas.</WORD>
<WORD coords="2291,3938,2369,3893,3937">Kn</WORD>
<WORD coords="2419,3946,2580,3903,3942">e?taa</WORD>
</LINE>
<LINE>
<WORD coords="221,4018,339,3958,4018">¿vi</WORD>
<WORD coords="391,4029,756,3983,4024">ccuativ-ttcd</WORD>
<WORD coords="804,4033,1213,3972,4030">observarnos</WORD>
<WORD coords="1266,4057,1385,3998,4035">í^uo</WORD>
<WORD coords="1430,4038,1526,3993,4035">¿o¡&gt;</WORD>
<WORD coords="1581,4040,1695,3981,4039">dus</WORD>
<WORD coords="1738,4062,2045,4003,4045">¿&gt;nmeros</WORD>
<WORD coords="2098,4050,2432,3995,4048">unembiu*</WORD>
<WORD coords="2461,4053,2576,4012,4051">suo</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0141.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0142.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0142.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1698,572,1928,478,569">132</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="640,726,879,647,705">iguales</WORD>
<WORD coords="917,702,969,644,697">al</WORD>
<WORD coords="1001,722,1279,642,699">segundo</WORD>
<WORD coords="1310,698,1391,644,697">24</WORD>
<WORD coords="1419,718,1588,659,697">cag.</WORD>
<WORD coords="1625,710,1640,663,710">;</WORD>
<WORD coords="1688,718,1871,640,694">luego</WORD>
<WORD coords="1907,712,2016,651,690">por</WORD>
<WORD coords="2061,691,2115,633,689">el</WORD>
<WORD coords="2151,694,2394,634,691">axioma</WORD>
<WORD coords="2433,691,2471,640,693">5</WORD>
<WORD coords="2515,675,2555,634,685">°</WORD>
<WORD coords="2607,691,2783,650,689">serán</WORD>
<WORD coords="2825,711,3012,632,689">igua-</WORD>
</LINE>
<LINE>
<WORD coords="648,813,738,752,810">Ies</WORD>
<WORD coords="772,815,940,773,813">entre</WORD>
<WORD coords="1002,814,1053,756,811">sí</WORD>
<WORD coords="1089,827,1106,798,827">,</WORD>
<WORD coords="1136,832,1172,774,822">y</WORD>
<WORD coords="1194,812,1314,772,809">.nos</WORD>
<WORD coords="1364,808,1552,753,807">ciaran</WORD>
<WORD coords="1598,811,1656,751,809">la</WORD>
<WORD coords="1704,810,1996,750,806">ecuación</WORD>
<WORD coords="2055,806,2146,754,806">6c.</WORD>
<WORD coords="2186,820,2268,757,820">X</WORD>
<WORD coords="2342,806,2429,749,808">^</WORD>
<WORD coords="2498,800,2605,761,799">==:</WORD>
<WORD coords="2657,801,2726,752,801">3c</WORD>
<WORD coords="2731,800,2743,787,805">*</WORD>
<WORD coords="2780,816,2849,743,816">X</WORD>
<WORD coords="2891,799,3004,738,799">4d»</WORD>
</LINE>
<LINE>
<WORD coords="635,950,784,866,920">[O]</WORD>
<WORD coords="820,931,834,909,931">,</WORD>
<WORD coords="869,938,987,884,921">que</WORD>
<WORD coords="1043,936,1253,873,916">puesta</WORD>
<WORD coords="1300,915,1375,879,915">en</WORD>
<WORD coords="1431,933,1797,858,912">proporción</WORD>
<WORD coords="1831,928,1847,903,921">,</WORD>
<WORD coords="1892,913,1958,876,913">es</WORD>
<WORD coords="2006,915,2099,860,909">6^.</WORD>
<WORD coords="2162,912,2177,877,913">:</WORD>
<WORD coords="2232,916,2303,863,916">3c</WORD>
<WORD coords="2352,913,2393,879,913">::</WORD>
<WORD coords="2458,910,2541,854,910">4^</WORD>
<WORD coords="2627,910,2642,873,912">:</WORD>
<WORD coords="2701,908,2806,850,908">tf^.</WORD>
<WORD coords="2875,921,2997,864,903">que</WORD>
</LINE>
<LINE>
<WORD coords="638,1032,1000,971,1027">aUernando</WORD>
<WORD coords="1057,1026,1135,967,1025">da</WORD>
<WORD coords="1194,1026,1267,971,1025">6c</WORD>
<WORD coords="1303,1024,1316,1008,1024">.</WORD>
<WORD coords="1361,1024,1378,986,1023">:</WORD>
<WORD coords="1435,1022,1534,964,1021">4&lt;¿</WORD>
<WORD coords="1586,1027,1628,985,1022">;:</WORD>
<WORD coords="1681,1019,1763,969,1019">3c.</WORD>
<WORD coords="1809,1019,1824,986,1019">:</WORD>
<WORD coords="2013,1054,2119,976,1017">ps</WORD>
<WORD coords="2170,1018,2210,967,1019">4</WORD>
<WORD coords="2257,1026,2323,969,1024">&gt;&lt;</WORD>
<WORD coords="2380,1014,2411,966,1014">3</WORD>
<WORD coords="2464,1016,2564,986,1017">,«=</WORD>
<WORD coords="2615,1014,2650,966,1017">2</WORD>
<WORD coords="2685,1013,2842,956,1010">¿¿as.</WORD>
<WORD coords="2879,1008,3007,952,1008">Ob-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="2152,1064,2219,1038,1095">&quot;</WORD>
<WORD coords="2289,1127,2338,1070,1126">3</WORD>
<WORD coords="2429,1059,2488,1052,1059">~~</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="630,1252,954,1183,1241">.servando</WORD>
<WORD coords="1016,1238,1204,1180,1236">ahora</WORD>
<WORD coords="1231,1249,1246,1225,1249">,</WORD>
<WORD coords="1298,1253,1416,1198,1234">que</WORD>
<WORD coords="1473,1233,1527,1178,1232">el</WORD>
<WORD coords="1588,1234,1848,1194,1232">numero</WORD>
<WORD coords="1891,1235,1969,1175,1233">de</WORD>
<WORD coords="2017,1232,2154,1174,1231">días</WORD>
<WORD coords="2202,1245,2319,1193,1231">que</WORD>
<WORD coords="2379,1230,2708,1173,1227">buscamos</WORD>
<WORD coords="2751,1225,2816,1187,1223">es</WORD>
<WORD coords="2877,1221,3012,1181,1221">me-</WORD>
</LINE>
<LINE>
<WORD coords="641,1352,757,1313,1348">ñor</WORD>
<WORD coords="809,1367,926,1312,1348">que</WORD>
<WORD coords="980,1346,1071,1291,1345">los</WORD>
<WORD coords="1110,1347,1152,1295,1345">4</WORD>
<WORD coords="1210,1343,1340,1286,1341">días</WORD>
<WORD coords="1392,1340,1726,1284,1338">conocidos</WORD>
<WORD coords="1756,1352,1775,1328,1352">,</WORD>
<WORD coords="1807,1358,2040,1302,1339">porque</WORD>
<WORD coords="2094,1338,2150,1282,1338">el</WORD>
<WORD coords="2209,1338,2469,1298,1336">numero</WORD>
<WORD coords="2517,1334,2557,1283,1335">6</WORD>
<WORD coords="2613,1332,2690,1276,1331">de</WORD>
<WORD coords="2742,1331,3011,1271,1327">caballos</WORD>
</LINE>
<LINE>
<WORD coords="644,1458,711,1421,1457">es</WORD>
<WORD coords="770,1475,983,1416,1454">mayor</WORD>
<WORD coords="1045,1471,1162,1415,1451">que</WORD>
<WORD coords="1218,1449,1271,1395,1448">el</WORD>
<WORD coords="1326,1452,1367,1397,1449">4</WORD>
<WORD coords="1423,1447,1499,1392,1446">de</WORD>
<WORD coords="1549,1446,1606,1391,1445">la</WORD>
<WORD coords="1655,1449,1878,1389,1445">misma</WORD>
<WORD coords="1936,1467,2181,1390,1445">especie</WORD>
<WORD coords="2213,1459,2232,1411,1452">;</WORD>
<WORD coords="2285,1444,2571,1404,1442">sacamos</WORD>
<WORD coords="2622,1441,2700,1381,1440">de</WORD>
<WORD coords="2742,1437,2833,1380,1436">las</WORD>
<WORD coords="2891,1434,3009,1377,1434">dos</WORD>
</LINE>
<LINE>
<WORD coords="646,1586,1090,1506,1560">proporciones</WORD>
<WORD coords="1146,1557,1200,1505,1556">la</WORD>
<WORD coords="1260,1576,1565,1498,1553">siguiente</WORD>
<WORD coords="1613,1573,1807,1497,1550">regla;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="736,1674,834,1617,1674">l.*</WORD>
<WORD coords="834,1647,849,1614,1647">3</WORD>
<WORD coords="916,1670,1083,1614,1667">Para</WORD>
<WORD coords="1132,1686,1420,1610,1660">plantear</WORD>
<WORD coords="1467,1659,1588,1623,1659">una</WORD>
<WORD coords="1638,1680,1812,1602,1656">regla</WORD>
<WORD coords="1864,1660,1937,1601,1658">de</WORD>
<WORD coords="1990,1657,2114,1610,1656">tres</WORD>
<WORD coords="2155,1659,2412,1596,1654">inversa</WORD>
<WORD coords="2444,1670,2462,1641,1664">,</WORD>
<WORD coords="2513,1656,2745,1596,1653">cuando</WORD>
<WORD coords="2795,1652,2853,1593,1651">el</WORD>
<WORD coords="2899,1648,3012,1608,1647">rtu~</WORD>
</LINE>
<LINE>
<WORD coords="647,1782,811,1742,1778">mero</WORD>
<WORD coords="867,1794,1180,1718,1773">incógnito</WORD>
<WORD coords="1240,1771,1299,1734,1770">es</WORD>
<WORD coords="1354,1771,1557,1733,1769">memr</WORD>
<WORD coords="1606,1796,1723,1732,1767">que</WORD>
<WORD coords="1774,1768,1831,1713,1767">el</WORD>
<WORD coords="1885,1772,2163,1709,1766">conocido</WORD>
<WORD coords="2216,1765,2287,1710,1764">de</WORD>
<WORD coords="2338,1764,2412,1727,1764">su</WORD>
<WORD coords="2466,1783,2696,1717,1761">especie</WORD>
<WORD coords="2723,1774,2741,1747,1770">,</WORD>
<WORD coords="2782,1758,2847,1720,1757">se</WORD>
<WORD coords="2904,1754,3016,1698,1753">ha»</WORD>
</LINE>
<LINE>
<WORD coords="647,1891,721,1852,1890">ra</WORD>
<WORD coords="750,1887,906,1848,1885">&apos;esta</WORD>
<WORD coords="961,1905,1384,1827,1881">proporción:</WORD>
<WORD coords="1449,1877,1503,1824,1876">el</WORD>
<WORD coords="1558,1898,1773,1839,1876">m^yor</WORD>
<WORD coords="1826,1876,1904,1819,1875">de</WORD>
<WORD coords="1961,1874,2019,1819,1874">la</WORD>
<WORD coords="2081,1874,2135,1825,1873">l.</WORD>
<WORD coords="2161,1853,2176,1825,1853">5</WORD>
<WORD coords="2176,1853,2199,1819,1864">*</WORD>
<WORD coords="2273,1889,2574,1814,1870">especie:</WORD>
<WORD coords="2632,1868,2699,1831,1866">es</WORD>
<WORD coords="2756,1865,2787,1813,1870">á</WORD>
<WORD coords="2847,1862,3017,1802,1859">cual-</WORD>
</LINE>
<LINE>
<WORD coords="645,2020,860,1944,1996">quiera</WORD>
<WORD coords="920,1994,997,1939,1994">de</WORD>
<WORD coords="1056,1992,1147,1936,1990">los</WORD>
<WORD coords="1193,1989,1360,1946,1987">otros</WORD>
<WORD coords="1421,1985,1536,1928,1984">dos</WORD>
<WORD coords="1581,1987,1883,1925,1983">términos</WORD>
<WORD coords="2040,1982,2220,1942,1980">como</WORD>
<WORD coords="2262,1978,2318,1922,1978">el</WORD>
<WORD coords="2370,1978,2640,1920,1976">termino</WORD>
<WORD coords="2688,1993,2807,1934,1972">que</WORD>
<WORD coords="2861,1990,3012,1929,1968">que-</WORD>
</LINE>
<LINE>
<WORD coords="651,2107,729,2050,2106">da</WORD>
<WORD coords="777,2113,792,2070,2109">;</WORD>
<WORD coords="846,2106,911,2067,2105">es</WORD>
<WORD coords="972,2103,1026,2045,2101">al</WORD>
<WORD coords="1085,2120,1423,2041,2096">incógnito.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="901,2210,965,2154,2208">Si</WORD>
<WORD coords="1026,2207,1100,2170,2206">en</WORD>
<WORD coords="1138,2205,1195,2152,2204">la</WORD>
<WORD coords="1253,2203,1519,2145,2201">formula</WORD>
<WORD coords="1578,2218,1608,2150,2215">(</WORD>
<WORD coords="1646,2213,1729,2143,2198">C)</WORD>
<WORD coords="1786,2213,2159,2155,2194">suponemos</WORD>
<WORD coords="2207,2209,2318,2153,2191">por</WORD>
<WORD coords="2390,2211,2708,2133,2189">incógnito</WORD>
<WORD coords="2759,2188,2814,2129,2187">el</WORD>
<WORD coords="2874,2185,3008,2126,2183">fac-</WORD>
</LINE>
<LINE>
<WORD coords="652,2321,748,2276,2319">tor</WORD>
<WORD coords="806,2317,895,2264,2316">6c,</WORD>
<WORD coords="954,2336,991,2278,2324">y</WORD>
<WORD coords="1057,2313,1132,2275,2312">en</WORD>
<WORD coords="1192,2310,1310,2273,2308">vez</WORD>
<WORD coords="1372,2307,1446,2254,2307">de</WORD>
<WORD coords="1495,2309,1585,2251,2308">xd</WORD>
<WORD coords="1654,2317,1951,2266,2302">ponemos</WORD>
<WORD coords="1998,2302,2071,2263,2301">su</WORD>
<WORD coords="2125,2298,2296,2243,2297">valor</WORD>
<WORD coords="2344,2299,2440,2240,2299">2d.</WORD>
<WORD coords="2481,2308,2497,2283,2304">,</WORD>
<WORD coords="2525,2296,2886,2239,2292">tendremos</WORD>
<WORD coords="2918,2289,3016,2252,2288">es-</WORD>
</LINE>
<LINE>
<WORD coords="652,2427,712,2382,2427">ta</WORD>
<WORD coords="773,2423,1068,2365,2421">ecuación</WORD>
<WORD coords="1139,2418,1231,2380,2416">xc.</WORD>
<WORD coords="1279,2431,1348,2364,2431">X</WORD>
<WORD coords="1416,2416,1515,2357,2413">2d.</WORD>
<WORD coords="1726,2411,1814,2360,2410">3c.</WORD>
<WORD coords="1865,2428,1934,2355,2428">X</WORD>
<WORD coords="2145,2411,2166,2370,2410">;</WORD>
<WORD coords="2213,2404,2265,2349,2404">si</WORD>
<WORD coords="2300,2404,2353,2347,2402">la</WORD>
<WORD coords="2402,2419,2701,2362,2401">ponemos</WORD>
<WORD coords="2751,2398,2826,2360,2398">en</WORD>
<WORD coords="2880,2411,3019,2356,2392">pro-</WORD>
</LINE>
<LINE>
<WORD coords="658,2552,912,2474,2529">porción</WORD>
<WORD coords="947,2540,961,2515,2532">,</WORD>
<WORD coords="993,2525,1128,2488,2524">sera</WORD>
<WORD coords="1191,2524,1290,2464,2521">2d.</WORD>
<WORD coords="1340,2522,1353,2485,2522">:</WORD>
<WORD coords="1403,2523,1499,2446,2521">Id.</WORD>
<WORD coords="1536,2519,1573,2485,2518">::</WORD>
<WORD coords="1611,2518,1700,2468,2518">3c.</WORD>
<WORD coords="1766,2517,1777,2482,2517">:</WORD>
<WORD coords="1837,2517,1914,2477,2516">xc</WORD>
<WORD coords="1933,2527,1951,2500,2527">,</WORD>
<WORD coords="2005,2532,2125,2476,2515">que</WORD>
<WORD coords="2176,2513,2494,2453,2511">alternada</WORD>
<WORD coords="2526,2523,2545,2495,2523">%</WORD>
<WORD coords="2574,2511,2654,2453,2510">da</WORD>
<WORD coords="2710,2507,2809,2447,2505">2d.</WORD>
<WORD coords="2864,2505,2879,2467,2505">i</WORD>
<WORD coords="2929,2502,3019,2451,2502">3c;</WORD>
</LINE>
<LINE>
<WORD coords="766,2640,868,2583,2639">ééi</WORD>
<WORD coords="927,2637,943,2599,2637">:</WORD>
<WORD coords="1002,2638,1103,2596,2636">xc.</WORD>
<WORD coords="1168,2633,1257,2603,2633">s=</WORD>
<WORD coords="1321,2629,1353,2579,2629">3</WORD>
<WORD coords="1412,2629,1468,2570,2629">X</WORD>
<WORD coords="1511,2627,1551,2575,2627">4</WORD>
<WORD coords="1587,2627,1684,2592,2627">sss</WORD>
<WORD coords="1740,2625,1778,2571,2626">6</WORD>
<WORD coords="1833,2623,2113,2563,2621">caballos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="913,2852,1115,2794,2849">Como</WORD>
<WORD coords="1160,2864,1307,2788,2845">aquí</WORD>
<WORD coords="1365,2844,1700,2787,2841">buscamos</WORD>
<WORD coords="1760,2841,1843,2802,2840">un</WORD>
<WORD coords="1916,2837,2178,2798,2836">numero</WORD>
<WORD coords="2235,2832,2275,2780,2833">6</WORD>
<WORD coords="2319,2833,2395,2776,2833">de</WORD>
<WORD coords="2445,2830,2713,2772,2828">caballos</WORD>
<WORD coords="2784,2843,2904,2787,2825">que</WORD>
<WORD coords="2953,2823,3021,2783,2822">es</WORD>
</LINE>
<LINE>
<WORD coords="672,2979,892,2921,2960">mayor</WORD>
<WORD coords="924,2974,1041,2920,2957">que</WORD>
<WORD coords="1074,2952,1130,2896,2951">el</WORD>
<WORD coords="1160,2952,1251,2901,2950">4c.</WORD>
<WORD coords="1287,2949,1364,2895,2948">de</WORD>
<WORD coords="1396,2952,1469,2913,2951">su</WORD>
<WORD coords="1524,2964,1766,2888,2944">especie</WORD>
<WORD coords="1800,2960,1818,2931,2960">f</WORD>
<WORD coords="1848,2944,2236,2885,2942">observando</WORD>
<WORD coords="2282,2940,2373,2884,2939">las</WORD>
<WORD coords="2417,2937,2530,2881,2936">dos</WORD>
<WORD coords="2563,2956,3031,2876,2932">proporciones»</WORD>
</LINE>
<LINE>
<WORD coords="664,3070,1036,3009,3066">deducimos</WORD>
<WORD coords="1093,3061,1147,3007,3061">la</WORD>
<WORD coords="1201,3079,1371,3001,3056">regla</WORD>
<WORD coords="1430,3076,1760,2996,3052">siguiente</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="750,3175,808,3129,3174">2.</WORD>
<WORD coords="834,3154,871,3119,3153">88</WORD>
<WORD coords="953,3171,1116,3116,3170">Para</WORD>
<WORD coords="1166,3189,1454,3113,3166">plantear</WORD>
<WORD coords="1510,3163,1632,3124,3162">una</WORD>
<WORD coords="1687,3180,1859,3103,3159">regla</WORD>
<WORD coords="1906,3158,1975,3102,3158">de</WORD>
<WORD coords="2004,3158,2127,3111,3155">tres</WORD>
<WORD coords="2166,3156,2413,3116,3153">inversa</WORD>
<WORD coords="2447,3166,2465,3140,3161">,</WORD>
<WORD coords="2515,3151,2748,3090,3148">cuando</WORD>
<WORD coords="2795,3144,2851,3086,3143">el</WORD>
<WORD coords="2926,3139,3039,3100,3139">ra*.</WORD>
</LINE>
<LINE>
<WORD coords="671,3285,835,3242,3280">mero</WORD>
<WORD coords="895,3295,1203,3222,3275">incógnito</WORD>
<WORD coords="1260,3272,1320,3235,3272">es</WORD>
<WORD coords="1370,3291,1581,3233,3270">mayor</WORD>
<WORD coords="1637,3296,1750,3230,3268">que</WORD>
<WORD coords="1804,3266,1858,3211,3265">el</WORD>
<WORD coords="1903,3266,2192,3207,3263">conocido</WORD>
<WORD coords="2255,3262,2325,3205,3261">de</WORD>
<WORD coords="2370,3260,2442,3223,3259">su</WORD>
<WORD coords="2490,3267,2722,3202,3256">especie</WORD>
<WORD coords="2751,3269,2767,3241,3266">,</WORD>
<WORD coords="2819,3250,2882,3212,3250">se</WORD>
<WORD coords="2934,3247,3042,3191,3247">ha»</WORD>
</LINE>
<LINE>
<WORD coords="671,3391,746,3351,3389">ra</WORD>
<WORD coords="799,3385,928,3339,3383">esta</WORD>
<WORD coords="977,3403,1397,3327,3380">proporción.:</WORD>
<WORD coords="1452,3378,1528,3321,3376">El</WORD>
<WORD coords="1581,3376,1792,3335,3374">menor</WORD>
<WORD coords="1853,3371,1929,3316,3370">de</WORD>
<WORD coords="1990,3369,2040,3315,3368">la</WORD>
<WORD coords="2107,3370,2225,3314,3362">1.*</WORD>
<WORD coords="2306,3383,2596,3309,3364">especie:</WORD>
<WORD coords="2650,3360,2717,3324,3359">es</WORD>
<WORD coords="2784,3356,2814,3302,3363">á</WORD>
<WORD coords="2864,3357,3031,3295,3354">cual-</WORD>
</LINE>
<LINE>
<WORD coords="670,3516,890,3455,3492">quiera</WORD>
<WORD coords="938,3491,1015,3436,3491">de</WORD>
<WORD coords="1068,3490,1157,3435,3489">los</WORD>
<WORD coords="1198,3489,1364,3444,3487">otros</WORD>
<WORD coords="1421,3487,1535,3428,3484">dos</WORD>
<WORD coords="1576,3484,1874,3424,3480">términos</WORD>
<WORD coords="1928,3478,1971,3442,3477">::</WORD>
<WORD coords="2033,3474,2213,3437,3473">como</WORD>
<WORD coords="2268,3472,2326,3417,3472">el</WORD>
<WORD coords="2375,3470,2644,3415,3468">termino</WORD>
<WORD coords="2713,3483,2835,3426,3463">que</WORD>
<WORD coords="2890,3478,3040,3420,3459">que-</WORD>
</LINE>
<LINE>
<WORD coords="671,3606,753,3546,3603">da</WORD>
<WORD coords="781,3601,794,3565,3600">:</WORD>
<WORD coords="841,3600,905,3564,3599">es</WORD>
<WORD coords="963,3597,1014,3542,3597">al</WORD>
<WORD coords="1076,3616,1413,3539,3592">incógnito.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="925,3705,1222,3647,3701">Cuestión</WORD>
<WORD coords="1281,3700,1337,3653,3697">2.</WORD>
<WORD coords="1366,3679,1401,3647,3678">a5</WORD>
<WORD coords="1520,3698,1644,3639,3697">Con</WORD>
<WORD coords="1700,3695,1782,3644,3694">50</WORD>
<WORD coords="1837,3712,2060,3645,3688">peones</WORD>
<WORD coords="2116,3686,2179,3647,3685">se</WORD>
<WORD coords="2235,3701,2619,3620,3681">concluyela</WORD>
<WORD coords="2668,3676,2816,3616,3673">obra</WORD>
<WORD coords="2868,3671,2938,3612,3669">de</WORD>
<WORD coords="2963,3666,3049,3624,3665">un</WORD>
</LINE>
<LINE>
<WORD coords="686,3839,925,3756,3821">edificio</WORD>
<WORD coords="983,3811,1052,3772,3809">en</WORD>
<WORD coords="1099,3808,1178,3756,3807">60</WORD>
<WORD coords="1227,3807,1357,3751,3805">dias</WORD>
<WORD coords="1393,3822,1414,3772,3822">;</WORD>
<WORD coords="1462,3829,1482,3771,3817">¿</WORD>
<WORD coords="1523,3806,1644,3748,3804">Con</WORD>
<WORD coords="1695,3803,1949,3753,3800">cuantos</WORD>
<WORD coords="1996,3820,2218,3753,3793">peones</WORD>
<WORD coords="2275,3790,2341,3751,3789">se</WORD>
<WORD coords="2401,3789,2666,3728,3786">acabara</WORD>
<WORD coords="2712,3781,2770,3725,3780">la</WORD>
<WORD coords="2818,3778,3033,3721,3773">misma</WORD>
</LINE>
<LINE>
<WORD coords="678,3927,828,3867,3923">obra</WORD>
<WORD coords="888,3919,957,3881,3917">en</WORD>
<WORD coords="1027,3915,1097,3866,3914">15</WORD>
<WORD coords="1152,3919,1329,3855,3912">dias?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="936,4023,1018,3967,4021">Es</WORD>
<WORD coords="1067,4020,1232,3968,4018">claro</WORD>
<WORD coords="1282,4034,1398,3983,4017">que</WORD>
<WORD coords="1459,4033,1605,3980,4016">para</WORD>
<WORD coords="1650,4016,1864,3958,4014">tardar</WORD>
<WORD coords="1917,4012,2129,3971,4009">menos</WORD>
<WORD coords="2175,4007,2310,3948,4005">dias</WORD>
<WORD coords="2336,4019,2351,3992,4007">,</WORD>
<WORD coords="2381,4003,2447,3965,4002">se</WORD>
<WORD coords="2509,4014,2839,3942,3998">requieren</WORD>
<WORD coords="2905,3994,3039,3949,3990">mas</WORD>
</LINE>
<LINE>
<WORD coords="683,4167,909,4103,4142">peones</WORD>
<WORD coords="942,4152,964,4102,4152">;</WORD>
<WORD coords="1013,4155,1122,4094,4133">por</WORD>
<WORD coords="1165,4152,1591,4071,4129">consiguiente</WORD>
<WORD coords="1649,4130,1708,4072,4129">la</WORD>
<WORD coords="1764,4150,1931,4069,4125">regla</WORD>
<WORD coords="1986,4126,2064,4066,4125">de</WORD>
<WORD coords="2116,4123,2243,4075,4120">tres</WORD>
<WORD coords="2299,4119,2368,4078,4118">es</WORD>
<WORD coords="2419,4117,2666,4056,4112">inversa</WORD>
<WORD coords="2692,4127,2709,4094,4127">,</WORD>
<WORD coords="2730,4128,2772,4067,4125">y</WORD>
<WORD coords="2831,4104,2889,4042,4102">el</WORD>
<WORD coords="2919,4101,3049,4034,4100">te*¿</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0142.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0143.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0143.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1259,485,1481,387,484">133</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="201,657,374,592,648">mino</WORD>
<WORD coords="413,660,734,579,638">incógnito</WORD>
<WORD coords="788,635,858,592,634">ea</WORD>
<WORD coords="920,650,1164,587,629">mayor.</WORD>
<WORD coords="1260,626,1719,567,621">Escribiremos</WORD>
<WORD coords="1772,637,1923,576,616">pues</WORD>
<WORD coords="1982,632,2252,569,609">primero</WORD>
<WORD coords="2306,608,2403,551,607">los</WORD>
<WORD coords="2453,609,2565,548,607">(fe-</WORD>
</LINE>
<LINE>
<WORD coords="201,754,299,708,752">tos</WORD>
<WORD coords="358,770,398,712,758">y</WORD>
<WORD coords="459,747,516,690,746">el</WORD>
<WORD coords="569,763,881,685,740">incógnito</WORD>
<WORD coords="916,753,936,725,753">,</WORD>
<WORD coords="966,757,1165,695,734">según</WORD>
<WORD coords="1198,731,1261,695,731">se</WORD>
<WORD coords="1302,730,1414,692,728">nos</WORD>
<WORD coords="1471,728,1772,668,725">enuncian</WORD>
<WORD coords="1807,739,1826,709,733">,</WORD>
<WORD coords="1856,722,1934,665,722">de</WORD>
<WORD coords="1966,720,2094,673,717">este</WORD>
<WORD coords="2131,715,2312,658,713">modo</WORD>
<WORD coords="2343,713,2360,677,720">:</WORD>
<WORD coords="2400,732,2570,666,715">50/?.,</WORD>
</LINE>
<LINE>
<WORD coords="209,858,349,800,857">60¿</WORD>
<WORD coords="397,871,416,844,871">,</WORD>
<WORD coords="460,874,578,806,855">xp.</WORD>
<WORD coords="614,866,633,837,857">,</WORD>
<WORD coords="681,849,815,791,848">15d.</WORD>
<WORD coords="855,861,874,833,852">,</WORD>
<WORD coords="915,843,992,806,842">en</WORD>
<WORD coords="1024,840,1226,781,838">donde</WORD>
<WORD coords="1275,836,1371,779,835">los</WORD>
<WORD coords="1418,833,1709,794,830">números</WORD>
<WORD coords="1766,833,1904,771,825">60d.</WORD>
<WORD coords="1956,846,1995,789,840">y</WORD>
<WORD coords="2035,822,2170,764,821">\5d,</WORD>
<WORD coords="2222,837,2571,744,819">conoponeé</WORD>
</LINE>
<LINE>
<WORD coords="205,966,265,909,966">ia</WORD>
<WORD coords="297,968,357,915,958">1.</WORD>
<WORD coords="380,944,419,909,944">«</WORD>
<WORD coords="445,979,709,901,958">especie.</WORD>
<WORD coords="752,954,827,897,953">El</WORD>
<WORD coords="861,972,1104,895,949">planteo</WORD>
<WORD coords="1131,947,1197,908,946">es</WORD>
<WORD coords="1227,945,1355,899,944">este</WORD>
<WORD coords="1385,965,1517,891,940">ÍSp.</WORD>
<WORD coords="1556,938,1569,901,940">:</WORD>
<WORD coords="1603,938,1742,879,937">60¿.</WORD>
<WORD coords="1787,942,1823,901,940">::</WORD>
<WORD coords="1867,955,2007,884,955">50fi.</WORD>
<WORD coords="2042,934,2055,898,938">:</WORD>
<WORD coords="2088,952,2171,883,930">xp</WORD>
<WORD coords="2228,929,2319,897,936">«</WORD>
<WORD coords="2352,922,2578,866,922">50X60</WORD>
</LINE>
<LINE>
<WORD coords="247,1066,358,1023,1065">ss</WORD>
<WORD coords="403,1066,526,1015,1065">200</WORD>
<WORD coords="570,1084,813,1016,1060">peones*</WORD>
<WORD coords="2421,1029,2491,981,1028">15</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="461,1175,762,1113,1172">Cuestión</WORD>
<WORD coords="817,1166,873,1116,1162">3.</WORD>
<WORD coords="900,1148,939,1113,1148">rt</WORD>
<WORD coords="1056,1166,1161,1103,1164">Un</WORD>
<WORD coords="1213,1161,1395,1120,1159">navio</WORD>
<WORD coords="1448,1157,1572,1097,1156">solo</WORD>
<WORD coords="1618,1154,1777,1098,1152">tiene</WORD>
<WORD coords="1820,1151,2057,1093,1148">víveres</WORD>
<WORD coords="2097,1168,2257,1101,1141">para</WORD>
<WORD coords="2312,1141,2383,1090,1144">15</WORD>
<WORD coords="2443,1136,2580,1079,1135">días</WORD>
</LINE>
<LINE>
<WORD coords="207,1288,285,1228,1286">de</WORD>
<WORD coords="331,1302,758,1222,1279">navegación;</WORD>
<WORD coords="828,1273,889,1235,1272">es</WORD>
<WORD coords="945,1272,1256,1211,1269">necesario</WORD>
<WORD coords="1308,1288,1428,1222,1264">por</WORD>
<WORD coords="1483,1262,1711,1207,1259">ciertas</WORD>
<WORD coords="1782,1258,2272,1202,1253">circunstancias</WORD>
<WORD coords="2349,1271,2463,1208,1245">que</WORD>
<WORD coords="2521,1245,2584,1189,1243">la</WORD>
</LINE>
<LINE>
<WORD coords="214,1411,592,1331,1388">navegación</WORD>
<WORD coords="645,1383,796,1326,1381">dure</WORD>
<WORD coords="855,1381,935,1330,1380">20</WORD>
<WORD coords="978,1389,1147,1321,1376">dias;</WORD>
<WORD coords="1180,1398,1213,1341,1387">¿</WORD>
<WORD coords="1249,1376,1403,1316,1374">Cual</WORD>
<WORD coords="1454,1372,1534,1315,1371">ha</WORD>
<WORD coords="1592,1368,1664,1311,1366">de</WORD>
<WORD coords="1709,1366,1811,1325,1365">ser</WORD>
<WORD coords="1870,1364,1944,1324,1363">en</WORD>
<WORD coords="1993,1361,2120,1315,1359">este</WORD>
<WORD coords="2170,1358,2312,1313,1356">caso</WORD>
<WORD coords="2371,1353,2431,1299,1353">la</WORD>
<WORD coords="2482,1352,2586,1314,1352">ra*</WORD>
</LINE>
<LINE>
<WORD coords="215,1498,356,1441,1497">don</WORD>
<WORD coords="406,1495,613,1436,1492">diaria</WORD>
<WORD coords="658,1488,729,1431,1488">de</WORD>
<WORD coords="773,1488,925,1430,1486">cada</WORD>
<WORD coords="976,1501,1363,1421,1481">navegante?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="467,1600,693,1540,1597">Llamo</WORD>
<WORD coords="742,1594,767,1545,1594">1</WORD>
<WORD coords="827,1594,860,1538,1592">á</WORD>
<WORD coords="912,1590,967,1535,1589">la</WORD>
<WORD coords="1035,1588,1245,1529,1586">ración</WORD>
<WORD coords="1302,1585,1501,1525,1584">diaria</WORD>
<WORD coords="1532,1602,1547,1570,1592">,</WORD>
<WORD coords="1569,1582,1647,1541,1582">en</WORD>
<WORD coords="1706,1581,1765,1522,1580">el</WORD>
<WORD coords="1809,1595,2111,1529,1577">supuesto</WORD>
<WORD coords="2168,1574,2244,1515,1573">de</WORD>
<WORD coords="2296,1587,2416,1528,1567">que</WORD>
<WORD coords="2471,1565,2592,1507,1564">da-</WORD>
</LINE>
<LINE>
<WORD coords="217,1714,287,1673,1714">ré</WORD>
<WORD coords="341,1709,399,1652,1708">la</WORD>
<WORD coords="454,1725,841,1643,1702">navegación</WORD>
<WORD coords="899,1699,971,1648,1696">15</WORD>
<WORD coords="1022,1695,1155,1639,1694">dias</WORD>
<WORD coords="1180,1710,1200,1662,1710">;</WORD>
<WORD coords="1251,1713,1398,1653,1692">pero</WORD>
<WORD coords="1445,1691,1633,1650,1689">como</WORD>
<WORD coords="1683,1690,1763,1628,1688">ha</WORD>
<WORD coords="1836,1685,1915,1630,1684">de</WORD>
<WORD coords="1990,1682,2177,1628,1680">durar</WORD>
<WORD coords="2238,1677,2370,1637,1675">mas</WORD>
<WORD coords="2428,1672,2564,1615,1670">dias</WORD>
<WORD coords="2571,1687,2593,1655,1687">f</WORD>
</LINE>
<LINE>
<WORD coords="196,1820,278,1759,1818">4a</WORD>
<WORD coords="331,1816,552,1757,1814">rabión</WORD>
<WORD coords="610,1812,767,1751,1810">debe</WORD>
<WORD coords="812,1807,912,1766,1806">ser</WORD>
<WORD coords="964,1815,1229,1764,1802">menor;</WORD>
<WORD coords="1276,1819,1461,1745,1799">luego</WORD>
<WORD coords="1517,1815,1657,1741,1796">aquí</WORD>
<WORD coords="1718,1795,1748,1742,1795">á</WORD>
<WORD coords="1809,1792,1939,1753,1791">mas</WORD>
<WORD coords="1986,1803,2405,1724,1784">corresponde</WORD>
<WORD coords="2462,1778,2594,1741,1777">me-</WORD>
</LINE>
<LINE>
<WORD coords="218,1928,336,1887,1926">nos</WORD>
<WORD coords="366,1939,386,1909,1939">,</WORD>
<WORD coords="420,1940,463,1882,1938">y</WORD>
<WORD coords="510,1937,622,1879,1918">por</WORD>
<WORD coords="669,1916,731,1859,1915">lo</WORD>
<WORD coords="791,1915,1021,1855,1912">mismo</WORD>
<WORD coords="1069,1909,1124,1851,1909">la</WORD>
<WORD coords="1162,1928,1334,1849,1906">regla</WORD>
<WORD coords="1388,1938,1487,1847,1905">de/</WORD>
<WORD coords="1526,1904,1651,1856,1902">tres</WORD>
<WORD coords="1687,1901,1752,1864,1900">es</WORD>
<WORD coords="1810,1902,2077,1845,1897">inversa.</WORD>
<WORD coords="2174,1892,2440,1830,1888">Escribo</WORD>
<WORD coords="2500,1881,2596,1826,1880">loa</WORD>
</LINE>
<LINE>
<WORD coords="214,2034,409,1975,2030">.datos</WORD>
<WORD coords="462,2029,598,1969,2024">asi:</WORD>
<WORD coords="653,2023,743,1972,2022">Ir.</WORD>
<WORD coords="778,2035,793,2008,2027">,</WORD>
<WORD coords="823,2019,955,1960,2017">\5d.</WORD>
<WORD coords="998,2032,1014,2002,2031">,</WORD>
<WORD coords="1067,2030,1221,1956,2017">20¿,</WORD>
<WORD coords="1270,2012,1388,1974,2011">xr.</WORD>
<WORD coords="1422,2025,1440,1997,2025">,</WORD>
<WORD coords="1482,2028,1518,1973,2027">y</WORD>
<WORD coords="1573,2026,1843,1952,2007">después</WORD>
<WORD coords="1896,2003,1974,1946,2002">de</WORD>
<WORD coords="2032,2018,2359,1940,1996">averiguar</WORD>
<WORD coords="2387,2009,2506,1951,1990">que</WORD>
<WORD coords="2539,1988,2599,1931,1988">el</WORD>
</LINE>
<LINE>
<WORD coords="223,2158,539,2079,2136">incógnito</WORD>
<WORD coords="577,2132,643,2093,2131">es</WORD>
<WORD coords="688,2129,902,2087,2127">meaor</WORD>
<WORD coords="935,2143,1054,2087,2124">que</WORD>
<WORD coords="1088,2122,1142,2066,2122">el</WORD>
<WORD coords="1174,2121,1252,2063,2120">de</WORD>
<WORD coords="1281,2120,1354,2082,2119">su</WORD>
<WORD coords="1383,2136,1628,2058,2116">especie</WORD>
<WORD coords="1662,2126,1678,2101,2126">,</WORD>
<WORD coords="1705,2133,1863,2055,2111">haga</WORD>
<WORD coords="1894,2111,1948,2054,2109">el</WORD>
<WORD coords="1983,2129,2223,2051,2105">planteo</WORD>
<WORD coords="2254,2123,2595,2044,2099">siguiente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="197,2249,365,2188,2244">^20¿.</WORD>
<WORD coords="425,2247,438,2210,2245">:</WORD>
<WORD coords="479,2244,615,2183,2242">XSd.</WORD>
<WORD coords="749,2237,838,2183,2237">I*</WORD>
<WORD coords="963,2232,1067,2193,2231">*r.</WORD>
<WORD coords="1125,2231,1225,2192,2229">aas</WORD>
<WORD coords="1271,2228,1296,2177,2235">1</WORD>
<WORD coords="1355,2246,1427,2173,2246">X</WORD>
<WORD coords="1654,2218,1760,2178,2239">=</WORD>
<WORD coords="1875,2223,1915,2166,2238">*</WORD>
<WORD coords="1971,2216,2186,2158,2214">racion</WORD>
<WORD coords="2193,2213,2209,2194,2213">*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1352,2335,1435,2284,2333">20</WORD>
<WORD coords="1864,2324,1906,2276,2324">4</WORD>
</LINE>
<LINE>
<WORD coords="480,2432,790,2370,2429">Cuestión</WORD>
<WORD coords="849,2427,908,2372,2421">4.</WORD>
<WORD coords="932,2405,970,2371,2408">*</WORD>
<WORD coords="1082,2423,1181,2366,2422">En</WORD>
<WORD coords="1235,2419,1361,2379,2419">tina</WORD>
<WORD coords="1399,2437,1592,2357,2414">plaza</WORD>
<WORD coords="1672,2410,1907,2350,2407">sitiada</WORD>
<WORD coords="1975,2424,2098,2348,2403">hay</WORD>
<WORD coords="2154,2400,2277,2348,2402">800</WORD>
<WORD coords="2330,2402,2609,2336,2397">soldado*</WORD>
</LINE>
<LINE>
<WORD coords="223,2545,339,2501,2543">con</WORD>
<WORD coords="391,2540,631,2483,2537">víveres</WORD>
<WORD coords="672,2556,835,2489,2533">para</WORD>
<WORD coords="893,2531,931,2483,2530">2</WORD>
<WORD coords="964,2530,1150,2490,2528">meses</WORD>
<WORD coords="1189,2542,1521,2465,2522">.dándoles</WORD>
<WORD coords="1573,2518,1769,2461,2516">cierta</WORD>
<WORD coords="1828,2522,2085,2456,2512">ración.;</WORD>
<WORD coords="2135,2532,2438,2459,2505">¡cuantos</WORD>
<WORD coords="2485,2504,2580,2446,2503">sol</WORD>
<WORD coords="2562,2525,2608,2479,2525">r</WORD>
</LINE>
<LINE>
<WORD coords="232,2652,425,2590,2648">dados</WORD>
<WORD coords="473,2646,598,2590,2645">han</WORD>
<WORD coords="671,2644,741,2586,2643">de</WORD>
<WORD coords="783,2639,951,2583,2637">-salir</WORD>
<WORD coords="1003,2636,1074,2581,2636">de</WORD>
<WORD coords="1132,2635,1192,2579,2635">la</WORD>
<WORD coords="1242,2655,1436,2577,2632">plaza</WORD>
<WORD coords="1470,2644,1487,2616,2644">,</WORD>
<WORD coords="1527,2651,1693,2581,2627">para</WORD>
<WORD coords="1746,2648,1860,2583,2622">que</WORD>
<WORD coords="1912,2619,1997,2564,2618">los</WORD>
<WORD coords="2047,2618,2282,2560,2615">víveres</WORD>
<WORD coords="2343,2631,2481,2553,2610">bajo</WORD>
<WORD coords="2536,2610,2615,2549,2609">de</WORD>
</LINE>
<LINE>
<WORD coords="262,2757,324,2707,2756">ia</WORD>
<WORD coords="384,2755,600,2697,2753">misma</WORD>
<WORD coords="650,2749,863,2691,2747">ración</WORD>
<WORD coords="916,2745,1129,2689,2743">duren-</WORD>
<WORD coords="1168,2740,1208,2690,2742">5</WORD>
<WORD coords="1258,2738,1445,2698,2736">meses</WORD>
<WORD coords="1467,2733,1499,2677,2733">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="484,2858,571,2802,2857">Es</WORD>
<WORD coords="621,2866,817,2800,2853">claro,</WORD>
<WORD coords="851,2870,970,2813,2851">que</WORD>
<WORD coords="1005,2868,1153,2807,2847">para</WORD>
<WORD coords="1187,2865,1305,2807,2844">que</WORD>
<WORD coords="1336,2844,1491,2803,2842">unos</WORD>
<WORD coords="1531,2839,1790,2780,2837">mismos</WORD>
<WORD coords="1840,2833,2087,2774,2831">víveres</WORD>
<WORD coords="2116,2844,2133,2816,2844">,</WORD>
<WORD coords="2165,2848,2307,2769,2826">bajo</WORD>
<WORD coords="2357,2824,2434,2767,2823">de</WORD>
<WORD coords="2493,2823,2618,2780,2822">una</WORD>
</LINE>
<LINE>
<WORD coords="237,2970,468,2912,2967">misma</WORD>
<WORD coords="523,2964,735,2905,2961">ración</WORD>
<WORD coords="792,2959,991,2900,2957">duren</WORD>
<WORD coords="1051,2954,1180,2915,2952">mas</WORD>
<WORD coords="1240,2963,1493,2909,2948">meses,</WORD>
<WORD coords="1540,2947,1698,2887,2945">debe</WORD>
<WORD coords="1756,2944,1949,2884,2941">haber</WORD>
<WORD coords="2010,2936,2225,2896,2933">menos</WORD>
<WORD coords="2291,2939,2623,2872,2930">soldados;</WORD>
</LINE>
<LINE>
<WORD coords="198,3088,206,3061,3088">,</WORD>
<WORD coords="239,3096,427,3022,3076">luego</WORD>
<WORD coords="471,3073,507,3036,3073">a</WORD>
<WORD coords="561,3070,692,3030,3069">mas</WORD>
<WORD coords="751,3082,1169,3003,3063">corresponde</WORD>
<WORD coords="1222,3058,1438,3016,3055">menos</WORD>
<WORD coords="1471,3068,1488,3040,3068">,</WORD>
<WORD coords="1537,3070,1576,3014,3061">y</WORD>
<WORD coords="1633,3051,1692,2994,3050">la</WORD>
<WORD coords="1749,3065,1917,2990,3043">regla</WORD>
<WORD coords="1980,3042,2058,2986,3041">de</WORD>
<WORD coords="2105,3041,2234,2994,3039">tres</WORD>
<WORD coords="2280,3037,2349,2999,3036">es</WORD>
<WORD coords="2410,3034,2617,2979,3033">inver-</WORD>
</LINE>
<LINE>
<WORD coords="239,3184,328,3144,3183">sa.</WORD>
<WORD coords="424,3179,687,3117,3176">Escribo</WORD>
<WORD coords="739,3174,797,3117,3173">la</WORD>
<WORD coords="845,3171,1127,3112,3169">cuestión</WORD>
<WORD coords="1170,3164,1356,3125,3162">como</WORD>
<WORD coords="1411,3160,1475,3121,3159">se</WORD>
<WORD coords="1526,3158,1600,3120,3157">ve</WORD>
<WORD coords="1630,3154,1647,3118,3157">:</WORD>
<WORD coords="1702,3155,1874,3102,3153">8005.</WORD>
<WORD coords="1910,3166,1926,3136,3163">,</WORD>
<WORD coords="1961,3147,2079,3100,3146">2m.</WORD>
<WORD coords="2112,3161,2129,3132,3160">,</WORD>
<WORD coords="2172,3145,2216,3107,3145">x</WORD>
<WORD coords="2244,3144,2296,3107,3144">s.</WORD>
<WORD coords="2357,3142,2476,3094,3141">5m.</WORD>
<WORD coords="2508,3155,2526,3127,3157">,</WORD>
<WORD coords="2567,3159,2622,3100,3159">y</WORD>
</LINE>
<LINE>
<WORD coords="249,3288,435,3248,3286">como</WORD>
<WORD coords="486,3284,681,3226,3281">busco</WORD>
<WORD coords="736,3279,952,3236,3276">menor</WORD>
<WORD coords="1005,3274,1265,3231,3271">numero</WORD>
<WORD coords="1353,3267,1431,3210,3266">de</WORD>
<WORD coords="1509,3261,1805,3203,3259">soldados</WORD>
<WORD coords="1837,3269,1855,3243,3269">,</WORD>
<WORD coords="1913,3272,2074,3198,3252">hago</WORD>
<WORD coords="2131,3254,2186,3197,3253">el</WORD>
<WORD coords="2236,3268,2477,3194,3247">planteo</WORD>
<WORD coords="2536,3244,2620,3186,3243">si-</WORD>
</LINE>
<LINE>
<WORD coords="250,3416,503,3335,3392">guiente</WORD>
<WORD coords="545,3391,561,3353,3389">:</WORD>
<WORD coords="596,3388,715,3338,3388">5m.</WORD>
<WORD coords="745,3388,768,3348,3386">;</WORD>
<WORD coords="795,3385,914,3335,3384">2m.</WORD>
<WORD coords="962,3383,1002,3344,3381">:;</WORD>
<WORD coords="1054,3380,1229,3327,3378">800*.</WORD>
<WORD coords="1264,3377,1279,3338,3377">:</WORD>
<WORD coords="1310,3377,1406,3335,3376">xs.</WORD>
<WORD coords="1467,3376,1566,3335,3375">es</WORD>
<WORD coords="1627,3365,1746,3315,3366">800</WORD>
<WORD coords="1788,3382,1857,3310,3382">X</WORD>
<WORD coords="1913,3362,1948,3314,3362">2</WORD>
<WORD coords="1996,3365,2093,3329,3371">=</WORD>
<WORD coords="2156,3360,2278,3308,3362">320</WORD>
<WORD coords="2323,3356,2614,3293,3353">soldados.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1756,3472,1790,3426,3472">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="501,3578,805,3518,3576">Cuestión</WORD>
<WORD coords="849,3574,907,3520,3568">5.</WORD>
<WORD coords="932,3553,969,3519,3555">*</WORD>
<WORD coords="1077,3589,1499,3511,3564">Supongamos</WORD>
<WORD coords="1548,3584,1665,3519,3558">que</WORD>
<WORD coords="1723,3556,1957,3494,3554">cuando</WORD>
<WORD coords="2015,3553,2151,3492,3550">vale</WORD>
<WORD coords="2192,3548,2251,3490,3548">¡a</WORD>
<WORD coords="2299,3546,2525,3484,3543">arroba</WORD>
<WORD coords="2554,3541,2625,3483,3540">de</WORD>
</LINE>
<LINE>
<WORD coords="247,3708,655,3628,3685">aguardiente</WORD>
<WORD coords="705,3682,779,3626,3682">de</WORD>
<WORD coords="838,3682,938,3620,3679">lea</WORD>
<WORD coords="982,3678,1024,3625,3678">6</WORD>
<WORD coords="1069,3699,1251,3631,3673">pesos</WORD>
<WORD coords="1276,3687,1296,3660,3669">,</WORD>
<WORD coords="1346,3669,1413,3631,3668">se</WORD>
<WORD coords="1465,3668,1695,3608,3665">venden</WORD>
<WORD coords="1739,3663,1778,3613,3665">2</WORD>
<WORD coords="1815,3662,2005,3621,3659">onzas</WORD>
<WORD coords="2055,3679,2178,3611,3655">por</WORD>
<WORD coords="2232,3652,2419,3594,3650">medio</WORD>
<WORD coords="2473,3650,2623,3592,3646">real;</WORD>
</LINE>
<LINE>
<WORD coords="250,3820,287,3760,3806">¿</WORD>
<WORD coords="329,3793,599,3736,3791">Cuantas</WORD>
<WORD coords="658,3790,850,3747,3788">onzas</WORD>
<WORD coords="899,3788,970,3748,3786">se</WORD>
<WORD coords="1017,3784,1326,3725,3781">venderán</WORD>
<WORD coords="1379,3799,1497,3730,3776">par</WORD>
<WORD coords="1561,3772,1749,3713,3770">medio</WORD>
<WORD coords="1794,3768,1925,3712,3766">real</WORD>
<WORD coords="1957,3788,1980,3749,3780">,</WORD>
<WORD coords="2010,3765,2287,3702,3761">valiendo</WORD>
<WORD coords="2334,3757,2395,3701,3756">la</WORD>
<WORD coords="2447,3754,2621,3710,3751">arro-</WORD>
</LINE>
<LINE>
<WORD coords="251,3902,329,3841,3901">da</WORD>
<WORD coords="381,3900,457,3848,3899">10</WORD>
<WORD coords="493,3921,677,3850,3895">pesos</WORD>
<WORD coords="730,3894,773,3844,3894">4</WORD>
<WORD coords="820,3893,1054,3832,3892">reales?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="505,4005,570,3949,4005">A</WORD>
<WORD coords="633,4002,768,3962,4001">saas</WORD>
<WORD coords="827,4001,999,3940,3999">valor</WORD>
<WORD coords="1057,3998,1275,3954,3995">menos</WORD>
<WORD coords="1327,4011,1583,3930,3986">porcio»</WORD>
<WORD coords="1638,3986,1705,3944,3986">se</WORD>
<WORD coords="1759,3984,1840,3922,3983">da</WORD>
<WORD coords="1900,4001,2012,3937,3981">por</WORD>
<WORD coords="2069,3981,2280,3917,3977">medio</WORD>
<WORD coords="2314,3990,2333,3957,3990">,</WORD>
<WORD coords="2384,3992,2424,3932,3992">y</WORD>
<WORD coords="2480,3998,2625,3907,3967">aqjii</WORD>
</LINE>
<LINE>
<WORD coords="1394,4094,1471,4040,4093">35</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0143.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0144.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0144.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1902,406,1950,374,406">■n</WORD>
<WORD coords="1978,406,2038,372,406">ir</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="716,658,788,612,657">se</WORD>
<WORD coords="840,656,1034,594,655">busca</WORD>
<WORD coords="1092,658,1174,616,657">un</WORD>
<WORD coords="1226,660,1490,616,657">numero</WORD>
<WORD coords="1536,664,1776,620,660">menor.</WORD>
<WORD coords="1844,666,2108,608,664">Escribo</WORD>
<WORD coords="2140,680,2158,654,680">,</WORD>
<WORD coords="2210,688,2294,606,680">ép</WORD>
<WORD coords="2336,686,2356,654,679">,</WORD>
<WORD coords="2414,672,2548,620,672">2on.</WORD>
<WORD coords="2608,688,2626,660,684">,</WORD>
<WORD coords="2674,680,2722,638,680">x</WORD>
<WORD coords="2752,682,2846,640,681">on.</WORD>
<WORD coords="2882,694,2900,670,694">,</WORD>
<WORD coords="2956,706,3102,608,696">iofi.</WORD>
</LINE>
<LINE>
<WORD coords="710,762,812,708,758">4r.</WORD>
<WORD coords="914,766,1204,706,763">Planteo:</WORD>
<WORD coords="1270,788,1408,714,766">lOp.</WORD>
<WORD coords="1488,770,1588,716,770">4r.</WORD>
<WORD coords="1644,772,1662,732,772">:</WORD>
<WORD coords="1722,794,1826,718,779">6p.</WORD>
<WORD coords="1906,778,1954,738,778">a</WORD>
<WORD coords="2004,784,2148,726,776">ion.</WORD>
<WORD coords="2202,782,2222,740,780">;</WORD>
<WORD coords="2278,778,2326,738,778">x</WORD>
<WORD coords="2350,780,2444,738,778">on.</WORD>
<WORD coords="2492,780,2590,748,779">==</WORD>
<WORD coords="2648,786,2684,738,786">2</WORD>
<WORD coords="2740,804,2812,738,804">X</WORD>
<WORD coords="2860,790,2920,736,786">6.</WORD>
<WORD coords="2984,782,3046,764,783">—</WORD>
<WORD coords="3046,784,3088,764,0">-</WORD>
</LINE>
<LINE>
<WORD coords="714,870,748,814,870">1</WORD>
<WORD coords="804,896,890,810,893">+</WORD>
<WORD coords="952,912,998,820,889">!_</WORD>
<WORD coords="1034,874,1254,832,872">onzas.</WORD>
<WORD coords="2652,914,2942,818,896">10/&gt;74rT</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="966,978,1002,924,978">7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1178,1068,1498,1004,1065">REGLA</WORD>
<WORD coords="1554,1070,1676,1008,1069">DE</WORD>
<WORD coords="1724,1076,1958,1010,1074">TRES</WORD>
<WORD coords="2006,1088,2616,1014,1081">COMPUESTA.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="794,1228,932,1170,1231">181.</WORD>
<WORD coords="1024,1230,1122,1170,1230">En</WORD>
<WORD coords="1152,1228,1210,1172,1228">la</WORD>
<WORD coords="1242,1252,1412,1174,1229">regla</WORD>
<WORD coords="1444,1234,1524,1174,1233">de</WORD>
<WORD coords="1550,1236,1676,1188,1234">tres</WORD>
<WORD coords="1728,1260,2076,1192,1240">compuesta</WORD>
<WORD coords="2166,1246,2198,1206,1246">o</WORD>
<WORD coords="2244,1248,2356,1208,1247">con</WORD>
<WORD coords="2406,1274,2624,1194,1250">tiempo</WORD>
<WORD coords="2670,1256,2884,1206,1254">entran</WORD>
<WORD coords="2926,1266,3070,1218,1258">ma«</WORD>
</LINE>
<LINE>
<WORD coords="704,1332,790,1272,1331">de</WORD>
<WORD coords="848,1332,978,1286,1332">tres</WORD>
<WORD coords="1034,1342,1328,1296,1336">números</WORD>
<WORD coords="1388,1344,1746,1284,1340">conocidos.</WORD>
<WORD coords="1844,1346,1940,1290,1346">En</WORD>
<WORD coords="2010,1350,2098,1292,1348">las</WORD>
<WORD coords="2154,1358,2510,1298,1354">cuestiones</WORD>
<WORD coords="2556,1386,2676,1324,1364">que</WORD>
<WORD coords="2734,1364,2796,1324,1363">se</WORD>
<WORD coords="2846,1366,3078,1308,1364">resuel-</WORD>
</LINE>
<LINE>
<WORD coords="706,1438,828,1394,1438">ven</WORD>
<WORD coords="886,1456,998,1400,1439">por</WORD>
<WORD coords="1054,1442,1186,1396,1442">esta</WORD>
<WORD coords="1236,1464,1408,1386,1442">regla</WORD>
<WORD coords="1452,1450,1792,1406,1447">concurren</WORD>
<WORD coords="1846,1460,2104,1398,1456">muchas</WORD>
<WORD coords="2152,1464,2370,1422,1461">causas</WORD>
<WORD coords="2400,1464,2426,1412,1464">á</WORD>
<WORD coords="2464,1480,2760,1410,1468">producir</WORD>
<WORD coords="2808,1476,2890,1432,1474">un</WORD>
<WORD coords="2922,1476,3086,1414,1474">efec-</WORD>
</LINE>
<LINE>
<WORD coords="704,1544,770,1494,1544">to</WORD>
<WORD coords="804,1558,824,1508,1559">;</WORD>
<WORD coords="880,1562,1024,1504,1544">para</WORD>
<WORD coords="1084,1548,1158,1510,1548">su</WORD>
<WORD coords="1208,1574,1602,1492,1551">inteligencia</WORD>
<WORD coords="1666,1564,2048,1502,1558">resolvamos</WORD>
<WORD coords="2110,1566,2162,1510,1565">la</WORD>
<WORD coords="2224,1590,2556,1512,1571">siguiente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="964,1656,1276,1594,1653">Cuestión</WORD>
<WORD coords="1328,1658,1378,1606,1663">1.</WORD>
<WORD coords="1410,1638,1448,1602,1655">«</WORD>
<WORD coords="1556,1660,1624,1604,1660">Si</WORD>
<WORD coords="1668,1666,1704,1614,1669">2</WORD>
<WORD coords="1764,1688,2032,1606,1673">oficíale*</WORD>
<WORD coords="2090,1676,2164,1634,1674">en</WORD>
<WORD coords="2222,1672,2256,1624,1672">3</WORD>
<WORD coords="2308,1680,2442,1622,1678">dias</WORD>
<WORD coords="2476,1696,2492,1668,1696">,</WORD>
<WORD coords="2550,1708,2918,1612,1686">trabajando</WORD>
<WORD coords="2964,1692,3066,1652,1691">ca,</WORD>
</LINE>
<LINE>
<WORD coords="698,1756,782,1698,1756">áa</WORD>
<WORD coords="822,1758,928,1698,1758">dia</WORD>
<WORD coords="980,1760,1024,1708,1769">4</WORD>
<WORD coords="1062,1764,1250,1704,1762">horas</WORD>
<WORD coords="1278,1780,1526,1708,1768">chacen</WORD>
<WORD coords="1576,1770,1658,1720,1773">24</WORD>
<WORD coords="1712,1786,2160,1720,1773">cartucheras-.</WORD>
<WORD coords="2222,1806,2258,1750,1796">¿</WORD>
<WORD coords="2298,1786,2332,1736,1786">8</WORD>
<WORD coords="2390,1812,2660,1730,1794">oficiales</WORD>
<WORD coords="2720,1794,2792,1756,1794">en</WORD>
<WORD coords="2842,1794,2882,1742,1794">6</WORD>
<WORD coords="2922,1818,3090,1740,1797">dias,</WORD>
</LINE>
<LINE>
<WORD coords="700,1886,1070,1804,1863">trabajando</WORD>
<WORD coords="1120,1870,1272,1812,1869">cada</WORD>
<WORD coords="1318,1872,1422,1814,1870">dia</WORD>
<WORD coords="1464,1874,1506,1820,1878">9</WORD>
<WORD coords="1550,1878,1738,1818,1876">horas</WORD>
<WORD coords="1758,1892,1776,1866,1888">,</WORD>
<WORD coords="1834,1884,2092,1836,1882">cuantas</WORD>
<WORD coords="2132,1894,2530,1836,1890">cartucheras</WORD>
<WORD coords="2590,1922,2996,1840,1898">trabajaran?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="948,1978,1338,1914,1972">Resolución.</WORD>
<WORD coords="1432,1984,1636,1922,1982">Como</WORD>
<WORD coords="1690,1984,1764,1948,1984">en</WORD>
<WORD coords="1818,1990,1974,1932,1987">cada</WORD>
<WORD coords="2030,1994,2134,1934,1992">dia</WORD>
<WORD coords="2190,2018,2310,1938,1994">hsy</WORD>
<WORD coords="2346,1998,2386,1948,1998">4</WORD>
<WORD coords="2448,2002,2634,1942,2001">horas</WORD>
<WORD coords="2688,2004,2768,1946,2004">de</WORD>
<WORD coords="2814,2032,3076,1952,2007">trabajo,</WORD>
</LINE>
<LINE>
<WORD coords="682,2074,778,2030,2073">:en</WORD>
<WORD coords="834,2074,868,2022,2084">3</WORD>
<WORD coords="928,2078,1066,2018,2077">dias</WORD>
<WORD coords="1120,2084,1308,2022,2080">habrá</WORD>
<WORD coords="1366,2084,1402,2034,2089">3</WORD>
<WORD coords="1468,2092,1650,2050,2090">veces</WORD>
<WORD coords="1696,2098,1738,2042,2097">4</WORD>
<WORD coords="1772,2096,1960,2036,2094">horas</WORD>
<WORD coords="2024,2100,2104,2042,2100">de</WORD>
<WORD coords="2158,2126,2400,2046,2102">trabajo</WORD>
<WORD coords="2460,2106,2496,2054,2106">ó</WORD>
<WORD coords="2576,2110,2670,2052,2110">3d.</WORD>
<WORD coords="2724,2114,2784,2058,2114">X</WORD>
<WORD coords="2858,2116,2960,2058,2114">4h.</WORD>
<WORD coords="3042,2118,3084,2060,2118">6</WORD>
</LINE>
<LINE>
<WORD coords="702,2178,780,2126,2186">12</WORD>
<WORD coords="836,2184,1024,2122,2181">horas</WORD>
<WORD coords="1056,2200,1080,2148,2202">;</WORD>
<WORD coords="1136,2192,1326,2128,2188">ahora</WORD>
<WORD coords="1356,2206,1372,2178,2205">,</WORD>
<WORD coords="1428,2196,1614,2154,2194">como</WORD>
<WORD coords="1670,2202,1764,2140,2199">los</WORD>
<WORD coords="1824,2202,1860,2152,2203">2</WORD>
<WORD coords="1910,2208,2180,2146,2204">oficiales</WORD>
<WORD coords="2238,2234,2518,2154,2211">trabajan</WORD>
<WORD coords="2572,2218,2646,2180,2218">en</WORD>
<WORD coords="2698,2222,2852,2164,2220">cada</WORD>
<WORD coords="2908,2240,3086,2164,2224">hora,</WORD>
</LINE>
<LINE>
<WORD coords="704,2288,774,2246,2287">se</WORD>
<WORD coords="820,2310,998,2230,2289">sigue</WORD>
<WORD coords="1050,2312,1170,2256,2294">que</WORD>
<WORD coords="1216,2296,1292,2258,2295">en</WORD>
<WORD coords="1348,2302,1420,2250,2304">12</WORD>
<WORD coords="1472,2304,1666,2242,2302">horas</WORD>
<WORD coords="1722,2330,2068,2250,2307">trabajarán</WORD>
<WORD coords="2130,2320,2202,2266,2318">12</WORD>
<WORD coords="2250,2320,2430,2280,2318">veces</WORD>
<WORD coords="2490,2324,2528,2276,2324">2</WORD>
<WORD coords="2578,2328,2846,2270,2326">oficiales</WORD>
<WORD coords="2882,2344,2902,2292,2337">;</WORD>
<WORD coords="2948,2330,3078,2274,2327">lúe.</WORD>
</LINE>
<LINE>
<WORD coords="714,2412,796,2354,2392">go</WORD>
<WORD coords="856,2394,912,2340,2393">la</WORD>
<WORD coords="966,2416,1286,2344,2398">espresion</WORD>
<WORD coords="1332,2406,1424,2350,2405">Sd.</WORD>
<WORD coords="1478,2420,1550,2358,2420">X</WORD>
<WORD coords="1602,2416,1706,2354,2415">4*5</WORD>
<WORD coords="1764,2434,1834,2372,2434">X</WORD>
<WORD coords="1912,2438,2036,2358,2428">2*/</WORD>
<WORD coords="2072,2440,2360,2366,2423">equivale</WORD>
<WORD coords="2410,2426,2464,2370,2426">al</WORD>
<WORD coords="2516,2434,2780,2394,2433">numero</WORD>
<WORD coords="2842,2434,2918,2378,2434">de</WORD>
<WORD coords="2966,2436,3082,2344,2434">ofi.&apos;</WORD>
</LINE>
<LINE>
<WORD coords="692,2500,890,2440,2498">Cíales</WORD>
<WORD coords="940,2520,1060,2464,2504">que</WORD>
<WORD coords="1104,2532,1482,2448,2508">trabajarían</WORD>
<WORD coords="1524,2516,1600,2476,2515">en</WORD>
<WORD coords="1648,2518,1768,2480,2518">una</WORD>
<WORD coords="1830,2522,1958,2468,2521">sola</WORD>
<WORD coords="2008,2526,2158,2466,2525">hora</WORD>
<WORD coords="2224,2530,2308,2474,2529">las</WORD>
<WORD coords="2352,2536,2432,2486,2535">24</WORD>
<WORD coords="2484,2540,2898,2482,2538">cartucheras.</WORD>
<WORD coords="2936,2542,3076,2482,2541">Ha-</WORD>
</LINE>
<LINE>
<WORD coords="692,2606,922,2548,2604">ciendo</WORD>
<WORD coords="970,2610,1032,2554,2610">el</WORD>
<WORD coords="1090,2616,1318,2558,2613">mismo</WORD>
<WORD coords="1374,2624,1712,2562,2621">raciocinio</WORD>
<WORD coords="1760,2644,2044,2588,2628">respecto</WORD>
<WORD coords="2096,2634,2172,2578,2634">de</WORD>
<WORD coords="2224,2638,2312,2582,2636">los</WORD>
<WORD coords="2378,2642,2412,2594,2642">3</WORD>
<WORD coords="2456,2648,2722,2586,2646">oficiales</WORD>
<WORD coords="2760,2666,2778,2636,2657">,</WORD>
<WORD coords="2836,2648,2872,2594,2648">6</WORD>
<WORD coords="2938,2648,3040,2592,2646">dia</WORD>
<WORD coords="3046,2658,3080,2618,2658">a</WORD>
</LINE>
<LINE>
<WORD coords="684,2732,730,2668,2735">y</WORD>
<WORD coords="792,2710,832,2658,2724">9</WORD>
<WORD coords="888,2716,1070,2654,2714">horas</WORD>
<WORD coords="1104,2732,1120,2704,2735">,</WORD>
<WORD coords="1166,2724,1400,2668,2721">resulta</WORD>
<WORD coords="1458,2746,1578,2690,2730">que</WORD>
<WORD coords="1646,2732,1742,2676,2730">9h.</WORD>
<WORD coords="1798,2754,1866,2684,2754">X</WORD>
<WORD coords="1920,2738,2014,2682,2738">6d.</WORD>
<WORD coords="2076,2762,2148,2688,2762">X</WORD>
<WORD coords="2202,2768,2322,2686,2744">Sí/</WORD>
<WORD coords="2386,2770,2678,2696,2752">equivale</WORD>
<WORD coords="2742,2754,2772,2702,2753">á</WORD>
<WORD coords="2836,2752,2924,2698,2752">los</WORD>
<WORD coords="2958,2756,3066,2696,2755">ofi-</WORD>
</LINE>
<LINE>
<WORD coords="686,2822,880,2764,2818">cíales</WORD>
<WORD coords="930,2842,1050,2786,2824">que</WORD>
<WORD coords="1098,2830,1372,2772,2827">también</WORD>
<WORD coords="1424,2834,1498,2796,2834">en</WORD>
<WORD coords="1554,2838,1674,2800,2836">una</WORD>
<WORD coords="1732,2842,1888,2782,2840">hora</WORD>
<WORD coords="1946,2870,2228,2792,2847">trabajan</WORD>
<WORD coords="2278,2856,2364,2798,2854">las</WORD>
<WORD coords="2422,2866,2818,2804,2861">cartucheras</WORD>
<WORD coords="2852,2880,2970,2826,2865">que</WORD>
<WORD coords="3002,2866,3072,2826,2864">se</WORD>
</LINE>
<LINE>
<WORD coords="696,2930,954,2868,2926">buscan.</WORD>
<WORD coords="1044,2956,1268,2874,2933">Luego</WORD>
<WORD coords="1320,2938,1376,2882,2938">la</WORD>
<WORD coords="1428,2944,1710,2888,2942">cuestión</WORD>
<WORD coords="1764,2952,2036,2896,2949">anterior</WORD>
<WORD coords="2086,2956,2152,2920,2956">se</WORD>
<WORD coords="2212,2978,2410,2906,2962">puede</WORD>
<WORD coords="2478,2970,2728,2910,2968">reducir</WORD>
<WORD coords="2788,2972,2818,2918,2972">á</WORD>
<WORD coords="2890,2974,3066,2928,2973">esta»:</WORD>
</LINE>
<LINE>
<WORD coords="684,3030,754,2974,3029">Si</WORD>
<WORD coords="784,3034,878,2978,3032">3d.</WORD>
<WORD coords="926,3056,998,2982,3056">X</WORD>
<WORD coords="1070,3040,1168,2984,3047">4*.</WORD>
<WORD coords="1232,3044,1288,2984,3044">X</WORD>
<WORD coords="1340,3046,1376,2996,3053">2</WORD>
<WORD coords="1408,3068,1490,2990,3060">ofi</WORD>
<WORD coords="1540,3048,1642,3020,3045">«=»■</WORD>
<WORD coords="1682,3054,1762,3004,3056">24</WORD>
<WORD coords="1814,3080,2082,3000,3063">oficiales</WORD>
<WORD coords="2134,3066,2204,3028,3065">en</WORD>
<WORD coords="2258,3070,2380,3032,3068">una</WORD>
<WORD coords="2428,3078,2582,3018,3075">hora</WORD>
<WORD coords="2636,3102,2924,3022,3079">trabajan</WORD>
<WORD coords="2984,3090,3068,3034,3088">24</WORD>
</LINE>
<LINE>
<WORD coords="674,3160,1120,3084,3138">cartucheras;</WORD>
<WORD coords="1162,3172,1198,3114,3170">¿</WORD>
<WORD coords="1232,3150,1312,3090,3150">9h</WORD>
<WORD coords="1368,3152,1426,3094,3152">X</WORD>
<WORD coords="1456,3156,1556,3098,3156">6d.</WORD>
<WORD coords="1612,3160,1668,3100,3160">X</WORD>
<WORD coords="1708,3160,1742,3112,3164">8</WORD>
<WORD coords="1768,3182,1848,3104,3175">ofi.</WORD>
<WORD coords="1902,3164,1990,3134,3166">=</WORD>
<WORD coords="2050,3172,2170,3120,3170">432</WORD>
<WORD coords="2216,3198,2480,3118,3182">oficiales</WORD>
<WORD coords="2540,3192,2794,3140,3187">cuantas</WORD>
<WORD coords="2852,3194,3058,3146,3192">cartu-</WORD>
</LINE>
<LINE>
<WORD coords="690,3248,910,3186,3245">cheras</WORD>
<WORD coords="966,3276,1338,3194,3254">trabajaran</WORD>
<WORD coords="1394,3264,1466,3224,3263">en</WORD>
<WORD coords="1526,3264,1588,3210,3264">el</WORD>
<WORD coords="1638,3302,2164,3212,3274">mismo/tiempo?</WORD>
<WORD coords="2254,3286,2308,3232,3285">la</WORD>
<WORD coords="2350,3308,2468,3252,3290">que</WORD>
<WORD coords="2524,3292,2604,3254,3292">no</WORD>
<WORD coords="2652,3298,2718,3258,3297">es</WORD>
<WORD coords="2774,3318,3060,3262,3304">masque</WORD>
</LINE>
<LINE>
<WORD coords="682,3354,808,3310,3352">una</WORD>
<WORD coords="862,3378,1030,3302,3355">regla</WORD>
<WORD coords="1082,3362,1158,3304,3361">de</WORD>
<WORD coords="1208,3366,1336,3316,3364">tres</WORD>
<WORD coords="1384,3392,1634,3312,3370">simple.</WORD>
<WORD coords="1908,3362,1950,3322,3348">&apos;*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="830,3460,894,3402,3459">Si</WORD>
<WORD coords="928,3470,1248,3408,3465">llamamos</WORD>
<WORD coords="1278,3482,1610,3434,3477">concausas</WORD>
<WORD coords="1642,3482,1670,3428,3487">á</WORD>
<WORD coords="1704,3486,1794,3428,3485">los</WORD>
<WORD coords="1830,3494,2122,3450,3490">números</WORD>
<WORD coords="2154,3518,2272,3458,3498">que</WORD>
<WORD coords="2302,3502,2500,3454,3501">tratan</WORD>
<WORD coords="2534,3506,2612,3448,3505">de</WORD>
<WORD coords="2646,3516,2968,3470,3512">aumentar</WORD>
<WORD coords="2998,3524,3056,3462,3522">la</WORD>
</LINE>
<LINE>
<WORD coords="682,3582,896,3520,3562">causa,</WORD>
<WORD coords="926,3572,1104,3528,3569">como</WORD>
<WORD coords="1136,3576,1248,3532,3575">son</WORD>
<WORD coords="1278,3580,1352,3542,3579">en</WORD>
<WORD coords="1386,3582,1442,3528,3582">el</WORD>
<WORD coords="1476,3606,1744,3528,3586">ejemplo</WORD>
<WORD coords="1778,3598,2044,3540,3594">anterior</WORD>
<WORD coords="2076,3600,2168,3544,3600">los</WORD>
<WORD coords="2218,3604,2352,3548,3604">dias</WORD>
<WORD coords="2384,3628,2420,3572,3621">y</WORD>
<WORD coords="2456,3614,2538,3554,3610">las</WORD>
<WORD coords="2572,3614,2756,3552,3612">horas</WORD>
<WORD coords="2792,3630,2810,3604,3630">,</WORD>
<WORD coords="2866,3640,2906,3582,3633">y</WORD>
<WORD coords="2934,3626,3062,3586,3624">coe.</WORD>
</LINE>
<LINE>
<WORD coords="662,3692,876,3610,3674">fectos</WORD>
<WORD coords="906,3672,936,3636,3672">z</WORD>
<WORD coords="970,3676,1060,3618,3674">los</WORD>
<WORD coords="1098,3698,1216,3642,3680">que</WORD>
<WORD coords="1248,3690,1570,3644,3687">aumentan</WORD>
<WORD coords="1604,3694,1662,3638,3693">el</WORD>
<WORD coords="1694,3714,1914,3634,3697">efecto;</WORD>
<WORD coords="1948,3718,2244,3648,3706">podemos</WORD>
<WORD coords="2278,3732,2416,3654,3711">fijar</WORD>
<WORD coords="2444,3714,2500,3660,3714">la</WORD>
<WORD coords="2530,3740,2694,3664,3718">regla</WORD>
<WORD coords="2724,3746,3060,3666,3726">siguiente:</WORD>
</LINE>
<LINE>
<WORD coords="938,3782,1112,3722,3779">Para</WORD>
<WORD coords="1156,3804,1446,3732,3788">plantear</WORD>
<WORD coords="1500,3800,1624,3758,3798">una</WORD>
<WORD coords="1668,3824,1844,3750,3804">r&lt;gla</WORD>
<WORD coords="1900,3808,1974,3752,3808">de</WORD>
<WORD coords="2030,3814,2156,3766,3811">tres</WORD>
<WORD coords="2214,3842,2558,3774,3819">compuesta</WORD>
<WORD coords="2594,3838,2608,3814,3832">,</WORD>
<WORD coords="2666,3826,2730,3790,3826">se</WORD>
<WORD coords="2776,3838,3058,3778,3832">reducirá</WORD>
</LINE>
<LINE>
<WORD coords="676,3904,954,3834,3882">primero</WORD>
<WORD coords="1008,3886,1046,3850,3886">a</WORD>
<WORD coords="1092,3894,1270,3836,3886">recría</WORD>
<WORD coords="1312,3898,1384,3840,3897">de</WORD>
<WORD coords="1426,3902,1552,3854,3900">tres</WORD>
<WORD coords="1594,3926,1810,3850,3907">.imple</WORD>
<WORD coords="1840,3922,1856,3902,3922">.</WORD>
<WORD coords="1916,3940,2368,3862,3919">multiplicando</WORD>
<WORD coords="2416,3932,2590,3884,3930">entre</WORD>
<WORD coords="2632,3932,2690,3876,3931">si</WORD>
<WORD coords="2738,3938,2906,3882,3935">todas</WORD>
<WORD coords="2964,3942,3058,3870,3939">ta»</WORD>
</LINE>
<LINE>
<WORD coords="680,3996,1012,3946,3991">concausas</WORD>
<WORD coords="1066,4004,1384,3940,3999">conocidas</WORD>
<WORD coords="1438,4028,1484,3968,4026">y</WORD>
<WORD coords="1552,4024,1830,3960,4016">lomando</WORD>
<WORD coords="1874,4026,2034,3978,4024">e*t*s</WORD>
<WORD coords="2080,4050,2416,3972,4032">producios</WORD>
<WORD coords="2486,4040,2638,3978,4039">cada</WORD>
<WORD coords="2716,4044,2834,4000,4042">uno</WORD>
<WORD coords="2890,4050,3068,4004,4046">come,</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0144.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0145.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0145.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1344,566,1562,474,564">135</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="259,686,352,632,685">%ín</WORD>
<WORD coords="405,685,528,619,683">solo</WORD>
<WORD coords="574,684,820,644,683">numero</WORD>
<WORD coords="848,703,867,609,703">\</WORD>
<WORD coords="901,704,943,646,703">y</WORD>
<WORD coords="996,703,1249,627,681">después</WORD>
<WORD coords="1314,682,1378,647,681">se</WORD>
<WORD coords="1419,683,1565,648,682">vera</WORD>
<WORD coords="1621,683,1676,628,683">si</WORD>
<WORD coords="1736,684,1791,627,683">la</WORD>
<WORD coords="1842,706,2016,627,684">regía</WORD>
<WORD coords="2049,684,2120,629,684">de</WORD>
<WORD coords="2175,686,2303,639,684">tres</WORD>
<WORD coords="2361,709,2516,631,685">simp</WORD>
<WORD coords="2532,660,2545,632,660">f</WORD>
<WORD coords="2544,687,2575,650,687">e</WORD>
<WORD coords="2606,706,2626,677,706">y</WORD>
</LINE>
<LINE>
<WORD coords="233,815,411,739,789">/que</WORD>
<WORD coords="484,790,712,740,789">résúíta</WORD>
<WORD coords="738,804,753,778,796">,</WORD>
<WORD coords="813,789,872,754,788">es</WORD>
<WORD coords="932,788,1167,733,787">directa</WORD>
<WORD coords="1226,788,1255,752,788">o</WORD>
<WORD coords="1326,789,1572,734,788">inversa</WORD>
<WORD coords="1615,788,1627,775,788">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="516,917,728,840,895">Según</WORD>
<WORD coords="773,895,903,833,894">está</WORD>
<WORD coords="955,915,1125,834,894">regía</WORD>
<WORD coords="1183,913,1633,840,893">plantearemos</WORD>
<WORD coords="1677,895,1731,841,894">la</WORD>
<WORD coords="1783,899,2059,841,896">cuestión</WORD>
<WORD coords="2110,900,2377,845,898">anterior</WORD>
<WORD coords="2433,900,2507,845,899">de</WORD>
<WORD coords="2541,900,2641,866,900">e*«</WORD>
</LINE>
<LINE>
<WORD coords="259,1003,319,956,1002">te</WORD>
<WORD coords="353,1002,538,944,999">modo</WORD>
<WORD coords="597,1002,608,968,1001">:</WORD>
<WORD coords="665,1000,695,953,1000">3</WORD>
<WORD coords="757,1003,818,943,1003">X</WORD>
<WORD coords="863,1010,915,953,1004">.4</WORD>
<WORD coords="974,1002,1030,946,1002">X</WORD>
<WORD coords="1087,1002,1121,955,1002">2</WORD>
<WORD coords="1145,1024,1222,945,1012">cf</WORD>
<WORD coords="1281,1004,1296,969,1002">:</WORD>
<WORD coords="1351,1001,1428,950,994">&lt;24</WORD>
<WORD coords="1460,1004,1508,965,1001">r.</WORD>
<WORD coords="1568,1003,1579,971,1003">:</WORD>
<WORD coords="1593,1000,1604,968,1001">:</WORD>
<WORD coords="1663,1003,1697,956,1003">8</WORD>
<WORD coords="1747,1004,1801,947,1004">X</WORD>
<WORD coords="1857,1003,1893,953,1003">6</WORD>
<WORD coords="1962,1006,2016,949,1006">X</WORD>
<WORD coords="2077,1004,2114,954,1004">9</WORD>
<WORD coords="2144,1029,2223,949,1017">of</WORD>
<WORD coords="2286,1009,2301,973,1009">:</WORD>
<WORD coords="2375,1010,2419,969,1008">*</WORD>
<WORD coords="2450,1007,2497,969,1003">c.</WORD>
<WORD coords="2550,1004,2633,977,1004">^=z</WORD>
</LINE>
<LINE>
<WORD coords="266,1129,398,1055,1117">8&gt;&lt;</WORD>
<WORD coords="466,1106,497,1056,1110">6</WORD>
<WORD coords="557,1124,626,1056,1124">y</WORD>
<WORD coords="706,1110,738,1059,1111">9</WORD>
<WORD coords="790,1129,861,1053,1129">X</WORD>
<WORD coords="946,1110,1024,1061,1110">24</WORD>
<WORD coords="1077,1107,1175,1077,1108">==</WORD>
<WORD coords="1232,1109,1264,1061,1110">8</WORD>
<WORD coords="1316,1130,1390,1056,1130">X</WORD>
<WORD coords="1455,1110,1489,1060,1111">6</WORD>
<WORD coords="1561,1132,1635,1060,1132">X</WORD>
<WORD coords="1693,1109,1725,1063,1110">9</WORD>
<WORD coords="1786,1107,1874,1085,1108">==</WORD>
<WORD coords="1934,1114,2053,1065,1113">432</WORD>
<WORD coords="2111,1119,2532,1058,1113">cartucheras.</WORD>
</LINE>
<LINE>
<WORD coords="386,1213,422,1163,1214">3</WORD>
<WORD coords="491,1234,561,1163,1234">X</WORD>
<WORD coords="610,1221,644,1170,1221">4</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="361,1324,511,1272,1321">182..</WORD>
<WORD coords="596,1325,851,1266,1321">Escolio.</WORD>
<WORD coords="926,1341,1198,1268,1322">Aunque</WORD>
<WORD coords="1258,1322,1312,1266,1320">la</WORD>
<WORD coords="1359,1343,1525,1265,1320">regía</WORD>
<WORD coords="1560,1322,1826,1266,1320">acabada</WORD>
<WORD coords="1873,1323,1948,1266,1322">de</WORD>
<WORD coords="2000,1323,2106,1266,1322">dar</WORD>
<WORD coords="2159,1328,2262,1288,1325">sea</WORD>
<WORD coords="2306,1332,2501,1273,1330">buena</WORD>
<WORD coords="2538,1352,2640,1297,1337">pa-</WORD>
</LINE>
<LINE>
<WORD coords="266,1428,339,1387,1427">ra</WORD>
<WORD coords="390,1444,661,1372,1425">plantear</WORD>
<WORD coords="719,1428,897,1372,1427">todas</WORD>
<WORD coords="944,1427,1032,1372,1426">las</WORD>
<WORD coords="1085,1428,1435,1371,1427">cuestiones</WORD>
<WORD coords="1495,1451,1865,1374,1426">semejantes</WORD>
<WORD coords="1932,1431,1961,1377,1430">á</WORD>
<WORD coords="2023,1429,2075,1377,1429">la</WORD>
<WORD coords="2134,1432,2183,1384,1430">1.</WORD>
<WORD coords="2212,1408,2244,1383,1408">n</WORD>
<WORD coords="2297,1417,2313,1403,1424">•</WORD>
<WORD coords="2368,1438,2459,1383,1437">sin</WORD>
<WORD coords="2510,1442,2639,1405,1441">em-</WORD>
</LINE>
<LINE>
<WORD coords="273,1551,470,1475,1530">bargo</WORD>
<WORD coords="502,1545,520,1519,1540">,</WORD>
<WORD coords="577,1532,757,1495,1531">como</WORD>
<WORD coords="820,1547,1019,1477,1532">puede</WORD>
<WORD coords="1080,1534,1266,1475,1532">haber</WORD>
<WORD coords="1311,1534,1385,1498,1533">en</WORD>
<WORD coords="1446,1534,1535,1479,1533">las</WORD>
<WORD coords="1580,1538,1927,1480,1534">cuestiones</WORD>
<WORD coords="1976,1538,2227,1481,1536">muchas</WORD>
<WORD coords="2285,1550,2618,1506,1544">concausas</WORD>
</LINE>
<LINE>
<WORD coords="273,1659,314,1599,1651">y</WORD>
<WORD coords="371,1636,628,1580,1635">muchos</WORD>
<WORD coords="689,1653,1049,1580,1638">coefectos,</WORD>
<WORD coords="1104,1659,1143,1603,1651">y</WORD>
<WORD coords="1203,1639,1301,1603,1639">ser</WORD>
<WORD coords="1353,1640,1407,1584,1639">el</WORD>
<WORD coords="1464,1641,1730,1586,1639">termino</WORD>
<WORD coords="1777,1663,2090,1585,1639">incógnito</WORD>
<WORD coords="2152,1645,2268,1608,1644">una</WORD>
<WORD coords="2316,1676,2644,1611,1651">concausa,</WORD>
</LINE>
<LINE>
<WORD coords="277,1745,316,1688,1747">ó</WORD>
<WORD coords="363,1745,445,1705,1743">un</WORD>
<WORD coords="518,1744,796,1686,1742">cotfecto</WORD>
<WORD coords="837,1758,852,1733,1753">,</WORD>
<WORD coords="880,1745,952,1708,1744">en</WORD>
<WORD coords="1003,1746,1168,1700,1745">estos</WORD>
<WORD coords="1223,1748,1397,1709,1746">casos</WORD>
<WORD coords="1435,1748,1499,1710,1746">se</WORD>
<WORD coords="1551,1748,1850,1689,1745">hallarían</WORD>
<WORD coords="1900,1748,1994,1694,1747">los</WORD>
<WORD coords="2031,1770,2462,1693,1751">principiantes</WORD>
<WORD coords="2498,1784,2647,1725,1760">muy</WORD>
</LINE>
<LINE>
<WORD coords="291,1850,741,1791,1848">embarazados</WORD>
<WORD coords="795,1850,869,1812,1850">en</WORD>
<WORD coords="910,1852,1102,1794,1850">orden</WORD>
<WORD coords="1160,1851,1215,1797,1850">al</WORD>
<WORD coords="1262,1869,1530,1796,1851">planteo.</WORD>
<WORD coords="1567,1853,1690,1798,1852">Las</WORD>
<WORD coords="1724,1875,1923,1801,1852">reglas</WORD>
<WORD coords="1976,1873,2092,1819,1855">que</WORD>
<WORD coords="2137,1857,2256,1799,1856">dan</WORD>
<WORD coords="2316,1860,2403,1810,1859">los</WORD>
<WORD coords="2445,1869,2647,1812,1867">Auto-</WORD>
</LINE>
<LINE>
<WORD coords="277,1958,376,1917,1956">res</WORD>
<WORD coords="411,1968,427,1944,1964">,</WORD>
<WORD coords="472,1956,616,1899,1954">bien</WORD>
<WORD coords="662,1974,784,1919,1955">que</WORD>
<WORD coords="830,1959,1067,1913,1957">esactas</WORD>
<WORD coords="1108,1973,1124,1946,1966">,</WORD>
<WORD coords="1158,1958,1267,1921,1957">son</WORD>
<WORD coords="1323,1978,1691,1919,1957">engorrosas</WORD>
<WORD coords="1741,1980,1784,1922,1978">y</WORD>
<WORD coords="1829,1976,2154,1904,1959">requieren</WORD>
<WORD coords="2193,1966,2318,1928,1963">mas</WORD>
<WORD coords="2355,1988,2472,1934,1973">que</WORD>
<WORD coords="2519,1980,2647,1940,1977">me-</WORD>
</LINE>
<LINE>
<WORD coords="264,2062,467,2003,2060">diano</WORD>
<WORD coords="513,2061,742,2005,2059">talento</WORD>
<WORD coords="798,2062,871,2025,2061">en</WORD>
<WORD coords="920,2062,975,2006,2062">el</WORD>
<WORD coords="1023,2064,1372,2007,2062">calculador</WORD>
<WORD coords="1401,2079,1424,2029,2073">;</WORD>
<WORD coords="1472,2064,1501,2010,2065">á</WORD>
<WORD coords="1557,2066,1642,2010,2065">mi</WORD>
<WORD coords="1696,2086,1946,2029,2067">parecer</WORD>
<WORD coords="2021,2070,2079,2016,2069">la</WORD>
<WORD coords="2135,2088,2256,2033,2071">que</WORD>
<WORD coords="2312,2097,2487,2024,2076">sigue</WORD>
<WORD coords="2544,2085,2647,2047,2084">ca-</WORD>
</LINE>
<LINE>
<WORD coords="268,2167,421,2118,2166">lece</WORD>
<WORD coords="481,2165,557,2110,2164">de</WORD>
<WORD coords="613,2170,779,2123,2167">estos</WORD>
<WORD coords="826,2171,1361,2111,2168">inconvenientes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="532,2293,737,2215,2271">Regla</WORD>
<WORD coords="780,2295,1048,2220,2273">general.</WORD>
<WORD coords="1142,2277,1258,2223,2268">l.o</WORD>
<WORD coords="1371,2298,1636,2222,2279">Hágase</WORD>
<WORD coords="1679,2283,1802,2241,2280">una</WORD>
<WORD coords="1840,2285,2121,2243,2282">ecuación</WORD>
<WORD coords="2172,2286,2262,2230,2284">tal</WORD>
<WORD coords="2269,2304,2303,2236,2304">\</WORD>
<WORD coords="2339,2314,2453,2253,2290">que</WORD>
<WORD coords="2497,2294,2565,2256,2293">en</WORD>
<WORD coords="2600,2295,2659,2236,2294">el</WORD>
</LINE>
<LINE>
<WORD coords="264,2402,517,2322,2376">^primer</WORD>
<WORD coords="571,2382,854,2325,2379">miembro</WORD>
<WORD coords="903,2382,969,2345,2381">se</WORD>
<WORD coords="1023,2384,1182,2328,2382">halle</WORD>
<WORD coords="1236,2385,1291,2330,2385">el</WORD>
<WORD coords="1338,2406,1633,2329,2385">producto</WORD>
<WORD coords="1680,2389,1752,2332,2388">de</WORD>
<WORD coords="1807,2391,1896,2334,2389">las</WORD>
<WORD coords="1942,2393,2271,2354,2391">concausas</WORD>
<WORD coords="2303,2418,2644,2344,2398">conocidas,</WORD>
</LINE>
<LINE>
<WORD coords="286,2506,329,2443,2501">y</WORD>
<WORD coords="388,2484,459,2446,2484">en</WORD>
<WORD coords="517,2484,576,2430,2483">el</WORD>
<WORD coords="610,2506,880,2432,2486">segundo</WORD>
<WORD coords="938,2489,994,2434,2489">el</WORD>
<WORD coords="1053,2510,1349,2435,2490">producto</WORD>
<WORD coords="1424,2492,1495,2436,2491">de</WORD>
<WORD coords="1568,2495,1653,2439,2494">ks</WORD>
<WORD coords="1713,2518,2003,2438,2498">coefectos</WORD>
<WORD coords="2064,2523,2649,2450,2501">correspondientes*</WORD>
</LINE>
<LINE>
<WORD coords="288,2589,347,2541,2592">2.</WORD>
<WORD coords="374,2595,410,2537,2597">?</WORD>
<WORD coords="498,2611,780,2537,2591">Póngase</WORD>
<WORD coords="827,2615,944,2549,2594">por</WORD>
<WORD coords="1007,2598,1438,2540,2595">denominador</WORD>
<WORD coords="1482,2600,1578,2543,2599">del</WORD>
<WORD coords="1635,2620,1872,2545,2599">primer</WORD>
<WORD coords="1919,2604,2199,2547,2602">miembro</WORD>
<WORD coords="2258,2606,2317,2555,2605">el</WORD>
<WORD coords="2357,2630,2653,2558,2610">producto-</WORD>
</LINE>
<LINE>
<WORD coords="284,2697,355,2640,2695">de</WORD>
<WORD coords="414,2695,505,2640,2694">las</WORD>
<WORD coords="551,2697,716,2651,2697">otras</WORD>
<WORD coords="773,2701,1101,2662,2699">concausas</WORD>
<WORD coords="1134,2715,1149,2691,2715">,</WORD>
<WORD coords="1178,2721,1218,2665,2721">y</WORD>
<WORD coords="1239,2723,1359,2656,2702">por</WORD>
<WORD coords="1419,2707,1848,2648,2704">denominador</WORD>
<WORD coords="1883,2708,1980,2651,2707">del</WORD>
<WORD coords="2005,2729,2274,2655,2710">segundo</WORD>
<WORD coords="2306,2713,2361,2660,2712">el</WORD>
<WORD coords="2380,2735,2652,2662,2717">produc-</WORD>
</LINE>
<LINE>
<WORD coords="288,2805,343,2756,2805">to</WORD>
<WORD coords="404,2802,474,2748,2802">de</WORD>
<WORD coords="525,2803,612,2748,2802">los</WORD>
<WORD coords="672,2804,832,2757,2803">otros</WORD>
<WORD coords="880,2828,1169,2749,2808">coefectos</WORD>
<WORD coords="1230,2832,1797,2750,2810">corréspóndientes</WORD>
<WORD coords="1825,2821,1848,2779,2818">;</WORD>
<WORD coords="1894,2815,1947,2765,2814">3.</WORD>
<WORD coords="1975,2791,2013,2762,2802">*</WORD>
<WORD coords="2086,2845,2540,2758,2818">Multipliqúese</WORD>
<WORD coords="2595,2829,2654,2772,2828">el</WORD>
</LINE>
<LINE>
<WORD coords="280,2911,645,2853,2908">numerador</WORD>
<WORD coords="724,2913,820,2854,2910">del</WORD>
<WORD coords="872,2935,1169,2856,2911">quebrado</WORD>
<WORD coords="1202,2928,1217,2901,2928">,</WORD>
<WORD coords="1272,2938,1386,2877,2914">que</WORD>
<WORD coords="1449,2917,1522,2879,2917">no</WORD>
<WORD coords="1585,2921,1747,2864,2918">tiene</WORD>
<WORD coords="1809,2941,2127,2864,2920">incógnita</WORD>
<WORD coords="2163,2935,2178,2910,2935">,</WORD>
<WORD coords="2226,2943,2347,2878,2924">por</WORD>
<WORD coords="2404,2931,2536,2877,2930">todo</WORD>
<WORD coords="2597,2936,2654,2883,2934">lo</WORD>
</LINE>
<LINE>
<WORD coords="278,3040,392,2976,3015">que</WORD>
<WORD coords="443,3036,775,2960,3014">multiplica</WORD>
<WORD coords="849,3017,885,2981,3017">a</WORD>
<WORD coords="933,3017,990,2963,3016">la</WORD>
<WORD coords="1051,3040,1368,2965,3019">incógnita</WORD>
<WORD coords="1425,3042,1466,2985,3034">y</WORD>
<WORD coords="1526,3024,1769,2967,3023">bórrese</WORD>
<WORD coords="1827,3026,1961,2970,3025">todo</WORD>
<WORD coords="2030,3027,2083,2972,3026">lo</WORD>
<WORD coords="2140,3046,2253,2991,3028">que</WORD>
<WORD coords="2311,3057,2649,2982,3034">multiplica</WORD>
</LINE>
<LINE>
<WORD coords="278,3124,322,3086,3123">©.</WORD>
<WORD coords="370,3123,498,3076,3122">esta</WORD>
<WORD coords="528,3122,548,3088,3126">:</WORD>
<WORD coords="602,3123,723,3069,3119">4.°</WORD>
<WORD coords="806,3144,1092,3070,3123">Póngase*</WORD>
<WORD coords="1143,3125,1199,3071,3124">la</WORD>
<WORD coords="1266,3147,1564,3073,3126">igualdad</WORD>
<WORD coords="1606,3128,1677,3074,3128">de</WORD>
<WORD coords="1749,3154,2080,3074,3131">quebrados</WORD>
<WORD coords="2136,3134,2208,3095,3133">en</WORD>
<WORD coords="2277,3163,2656,3094,3143">proporción</WORD>
</LINE>
<LINE>
<WORD coords="278,3252,504,3172,3252">f\60j</WORD>
<WORD coords="569,3246,611,3190,3239">y</WORD>
<WORD coords="669,3229,891,3173,3227">hállese</WORD>
<WORD coords="919,3230,993,3181,3229">-el</WORD>
<WORD coords="1053,3233,1307,3177,3230">termino</WORD>
<WORD coords="1353,3255,1692,3176,3234">incógnito.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="531,3335,830,3278,3334">Cuestión</WORD>
<WORD coords="1155,3341,1233,3284,3340">Si</WORD>
<WORD coords="1278,3341,1316,3291,3343">4</WORD>
<WORD coords="1355,3363,1580,3297,3341">peones</WORD>
<WORD coords="1635,3343,1704,3306,3342">en</WORD>
<WORD coords="1759,3343,1796,3290,3344">6</WORD>
<WORD coords="1846,3346,1980,3290,3345">días</WORD>
<WORD coords="2012,3361,2028,3336,3361">,</WORD>
<WORD coords="2087,3370,2448,3292,3346">trabajando</WORD>
<WORD coords="2503,3361,2655,3301,3357">cada</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="257,3440,388,3380,3438">■dia</WORD>
<WORD coords="456,3440,491,3391,3444">8</WORD>
<WORD coords="555,3441,736,3385,3440">horas</WORD>
<WORD coords="788,3444,1016,3384,3442">acaban</WORD>
<WORD coords="1070,3445,1152,3408,3444">un</WORD>
<WORD coords="1206,3447,1440,3393,3445">calcheo</WORD>
<WORD coords="1489,3448,1559,3393,3447">de</WORD>
<WORD coords="1616,3453,1777,3394,3449">maiz</WORD>
<WORD coords="1808,3450,1827,3416,3450">:</WORD>
<WORD coords="1876,3476,1911,3419,3465">¿</WORD>
<WORD coords="1970,3454,2235,3397,3453">Cuantos</WORD>
<WORD coords="2303,3481,2522,3418,3462">pronas</WORD>
<WORD coords="2579,3467,2646,3429,3465">se</WORD>
</LINE>
<LINE>
<WORD coords="280,3550,667,3491,3546">necesitaran</WORD>
<WORD coords="717,3571,881,3509,3550">para</WORD>
<WORD coords="936,3554,1158,3495,3551">acabar</WORD>
<WORD coords="1208,3554,1264,3500,3553">el</WORD>
<WORD coords="1315,3556,1521,3503,3554">mismo</WORD>
<WORD coords="1568,3562,1803,3502,3558">calefeo</WORD>
<WORD coords="1862,3562,1935,3523,3561">en</WORD>
<WORD coords="1992,3560,2026,3511,3560">3</WORD>
<WORD coords="2078,3562,2212,3506,3562">días</WORD>
<WORD coords="2242,3583,2272,3554,3583">y</WORD>
<WORD coords="2329,3595,2649,3516,3570">trabajan*</WORD>
</LINE>
<LINE>
<WORD coords="283,3654,354,3598,3654">do</WORD>
<WORD coords="409,3655,558,3600,3654">cada</WORD>
<WORD coords="603,3668,717,3602,3660">(fia</WORD>
<WORD coords="756,3660,790,3606,3660">7</WORD>
<WORD coords="834,3661,1061,3602,3659">horas?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="540,3764,694,3708,3763">Para</WORD>
<WORD coords="732,3766,1024,3707,3765">hacerme</WORD>
<WORD coords="1087,3790,1272,3731,3767">cargo</WORD>
<WORD coords="1332,3769,1408,3713,3769">de</WORD>
<WORD coords="1472,3770,1526,3714,3769">la</WORD>
<WORD coords="1587,3774,1867,3718,3772">cuestim</WORD>
<WORD coords="1903,3791,1922,3763,3783">,</WORD>
<WORD coords="1971,3775,2025,3720,3774">la</WORD>
<WORD coords="2084,3778,2324,3721,3776">escribo</WORD>
<WORD coords="2383,3779,2454,3744,3778">en</WORD>
<WORD coords="2484,3783,2648,3744,3781">c^m-</WORD>
</LINE>
<LINE>
<WORD coords="251,3885,514,3810,3866">-pendio</WORD>
<WORD coords="596,3869,674,3813,3869">de</WORD>
<WORD coords="732,3873,860,3825,3870">e*te</WORD>
<WORD coords="938,3875,1175,3819,3872">modo:</WORD>
<WORD coords="1224,3900,1248,3822,3888">[</WORD>
<WORD coords="1276,3877,1315,3826,3877">4</WORD>
<WORD coords="1336,3898,1400,3831,3887">p.</WORD>
<WORD coords="1434,3888,1448,3865,3882">,</WORD>
<WORD coords="1508,3876,1545,3826,3876">6</WORD>
<WORD coords="1568,3878,1617,3826,3878">d.</WORD>
<WORD coords="1660,3892,1676,3867,3885">,</WORD>
<WORD coords="1735,3879,1768,3832,3879">8</WORD>
<WORD coords="1798,3879,1836,3825,3879">h</WORD>
<WORD coords="1892,3893,1907,3870,3887">,</WORD>
<WORD coords="1977,3882,2000,3835,3882">1</WORD>
<WORD coords="2069,3904,2176,3831,3884">(al</WORD>
<WORD coords="2233,3886,2478,3831,3883">cakheo</WORD>
<WORD coords="2542,3886,2649,3831,3884">lia-</WORD>
</LINE>
<LINE>
<WORD coords="286,3972,363,3933,3971">no</WORD>
<WORD coords="406,3991,465,3916,3984">1)</WORD>
<WORD coords="517,3998,723,3919,3975">][xp.</WORD>
<WORD coords="793,3991,811,3965,3986">,</WORD>
<WORD coords="858,3977,970,3922,3977">2d.</WORD>
<WORD coords="1034,3994,1052,3966,3988">,</WORD>
<WORD coords="1110,3978,1141,3928,3980">7</WORD>
<WORD coords="1168,3980,1226,3926,3980">h.</WORD>
<WORD coords="1286,3995,1303,3969,3995">,</WORD>
<WORD coords="1366,4002,1471,3926,3989">1.].</WORD>
<WORD coords="1536,4003,1819,3931,3984">Después</WORD>
<WORD coords="1874,3990,2136,3928,3988">cbservo</WORD>
<WORD coords="2197,4006,2311,3952,3987">que</WORD>
<WORD coords="2375,3986,2457,3936,3985">las</WORD>
<WORD coords="2531,4006,2651,3933,3988">pri-</WORD>
</LINE>
<LINE>
<WORD coords="241,4081,490,4018,4079">&quot;meras</WORD>
<WORD coords="552,4086,896,4043,4084">concausas</WORD>
<WORD coords="957,4088,1070,4046,4086">sen</WORD>
<WORD coords="1125,4084,1164,4036,4087">4</WORD>
<WORD coords="1187,4110,1253,4041,4101">p.</WORD>
<WORD coords="1298,4106,1317,4075,4098">,</WORD>
<WORD coords="1376,4088,1412,4035,4089">6</WORD>
<WORD coords="1443,4091,1500,4037,4091">d.</WORD>
<WORD coords="1550,4108,1569,4077,4100">,</WORD>
<WORD coords="1629,4092,1665,4041,4092">S</WORD>
<WORD coords="1696,4092,1755,4036,4092">h.</WORD>
<WORD coords="1811,4114,1847,4055,4105">y</WORD>
<WORD coords="1884,4097,1957,4058,4095">su</WORD>
<WORD coords="2007,4098,2203,4016,4097">Méító</WORD>
<WORD coords="2245,4107,2316,4062,4095">a¿</WORD>
<WORD coords="2489,4096,2664,4056,4094">uu«a-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0145.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0146.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0146.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1716,512,1938,414,509">136</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="643,632,985,587,628">concausas</WORD>
<WORD coords="1035,627,1147,586,627">son</WORD>
<WORD coords="1196,649,1303,577,627">xp.</WORD>
<WORD coords="1357,644,1374,613,637">,</WORD>
<WORD coords="1436,627,1470,574,628">3</WORD>
<WORD coords="1501,630,1561,569,630">d.</WORD>
<WORD coords="1607,645,1624,616,638">,</WORD>
<WORD coords="1690,631,1724,576,630">7</WORD>
<WORD coords="1751,628,1807,574,628">h.</WORD>
<WORD coords="1871,651,1909,593,640">y</WORD>
<WORD coords="1963,630,2033,593,629">su</WORD>
<WORD coords="2081,631,2284,570,629">efecto</WORD>
<WORD coords="2347,650,2433,577,630">i;</WORD>
<WORD coords="2489,652,2793,583,633">supuesto</WORD>
<WORD coords="2854,654,3024,586,636">esto*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="648,756,812,679,735">bago</WORD>
<WORD coords="860,735,914,679,734">la</WORD>
<WORD coords="975,756,1284,677,736">siguiente</WORD>
<WORD coords="1344,737,1639,678,735">ecuación</WORD>
<WORD coords="1698,736,1738,684,736">4</WORD>
<WORD coords="1788,748,1855,684,748">X</WORD>
<WORD coords="1895,735,1933,683,735">6</WORD>
<WORD coords="1981,750,2050,688,750">X</WORD>
<WORD coords="2107,736,2142,687,735">8</WORD>
<WORD coords="2202,731,2293,706,733">=</WORD>
<WORD coords="2358,736,2379,686,736">i</WORD>
<WORD coords="2414,755,2431,704,755">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="900,947,1189,869,926">Después</WORD>
<WORD coords="1245,942,1592,866,925">multiplico</WORD>
<WORD coords="1626,924,1680,871,924">el</WORD>
<WORD coords="1716,926,2091,870,925">numerador</WORD>
<WORD coords="2145,928,2170,879,928">1</WORD>
<WORD coords="2237,944,2348,888,926">por</WORD>
<WORD coords="2398,926,2432,877,926">3</WORD>
<WORD coords="2480,946,2551,876,946">X</WORD>
<WORD coords="2598,929,2636,873,929">7</WORD>
<WORD coords="2669,943,2687,915,943">,</WORD>
<WORD coords="2726,948,2765,891,939">y</WORD>
<WORD coords="2827,930,3014,871,928">borro</WORD>
</LINE>
<LINE>
<WORD coords="646,1033,811,986,1031">estos</WORD>
<WORD coords="868,1033,1135,972,1031">factores</WORD>
<WORD coords="1226,1033,1328,976,1032">del</WORD>
<WORD coords="1390,1034,1533,976,1033">lado</WORD>
<WORD coords="1588,1033,1665,974,1032">de</WORD>
<WORD coords="1720,1055,1805,987,1035">xp</WORD>
<WORD coords="1867,1048,1886,1019,1040">,</WORD>
<WORD coords="1937,1033,1999,977,1033">lo</WORD>
<WORD coords="2052,1054,2171,996,1035">que</WORD>
<WORD coords="2248,1035,2328,977,1035">da</WORD>
<WORD coords="2383,1035,2423,984,1035">4</WORD>
<WORD coords="2469,1052,2551,982,1052">X</WORD>
<WORD coords="2603,1033,2643,983,1033">6</WORD>
<WORD coords="2702,1038,2766,982,1036">y</WORD>
<WORD coords="2824,1035,2857,986,1035">8</WORD>
<WORD coords="2910,1036,3019,993,1034">c=</WORD>
</LINE>
<LINE>
<WORD coords="648,1140,675,1090,1140">1</WORD>
<WORD coords="739,1139,796,1081,1139">X</WORD>
<WORD coords="854,1136,886,1090,1138">3</WORD>
<WORD coords="944,1139,1001,1080,1139">X</WORD>
<WORD coords="1056,1140,1092,1087,1140">7</WORD>
<WORD coords="1125,1141,1141,1103,1141">:</WORD>
<WORD coords="2541,1164,2674,1067,1141">x~~p.</WORD>
</LINE>
<LINE>
<WORD coords="641,1185,697,1164,1217">~</WORD>
<WORD coords="853,1247,880,1201,1247">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="984,1332,1136,1276,1330">Esta</WORD>
<WORD coords="1172,1352,1469,1271,1329">igualdad</WORD>
<WORD coords="1517,1329,1596,1270,1329">de</WORD>
<WORD coords="1645,1329,1986,1268,1327">divisiones</WORD>
<WORD coords="2038,1333,2358,1271,1329">indicadas</WORD>
<WORD coords="2405,1332,2740,1271,1330">trasformo</WORD>
<WORD coords="2769,1331,2844,1294,1330">en</WORD>
<WORD coords="2877,1350,3016,1293,1332">pro-</WORD>
</LINE>
<LINE>
<WORD coords="646,1459,902,1382,1438">porción</WORD>
<WORD coords="929,1456,944,1429,1447">,</WORD>
<WORD coords="975,1438,1300,1381,1437">trantando</WORD>
<WORD coords="1333,1437,1411,1379,1436">de</WORD>
<WORD coords="1457,1457,1577,1400,1436">que</WORD>
<WORD coords="1622,1436,1679,1381,1435">el</WORD>
<WORD coords="1736,1437,2002,1377,1435">termino</WORD>
<WORD coords="2061,1457,2379,1379,1436">incógnito</WORD>
<WORD coords="2425,1455,2624,1397,1438">ocupe</WORD>
<WORD coords="2680,1439,2736,1383,1438">el</WORD>
<WORD coords="2794,1439,3016,1380,1438">ultimó</WORD>
</LINE>
<LINE>
<WORD coords="644,1566,824,1491,1546">lugar</WORD>
<WORD coords="854,1561,872,1532,1554">,</WORD>
<WORD coords="907,1545,982,1490,1545">de</WORD>
<WORD coords="1046,1545,1176,1501,1544">este</WORD>
<WORD coords="1232,1544,1419,1488,1544">modo</WORD>
<WORD coords="1468,1545,1483,1510,1546">:</WORD>
<WORD coords="1525,1545,1551,1496,1546">1</WORD>
<WORD coords="1595,1566,1662,1499,1566">X</WORD>
<WORD coords="1716,1543,1749,1493,1543">3</WORD>
<WORD coords="1805,1565,1871,1501,1565">X</WORD>
<WORD coords="1924,1545,1958,1492,1545">7</WORD>
<WORD coords="2005,1551,2021,1532,1548">•</WORD>
<WORD coords="2078,1545,2107,1495,1546">1</WORD>
<WORD coords="2171,1550,2208,1510,1547">::</WORD>
<WORD coords="2264,1546,2304,1495,1546">4</WORD>
<WORD coords="2387,1567,2460,1494,1567">X</WORD>
<WORD coords="2489,1544,2526,1494,1545">6</WORD>
<WORD coords="2738,1548,2771,1500,1548">8</WORD>
<WORD coords="2817,1552,2832,1515,1550">:</WORD>
<WORD coords="2881,1549,2925,1512,1549">x</WORD>
<WORD coords="2945,1571,3015,1504,1561">p.</WORD>
</LINE>
<LINE>
<WORD coords="625,1664,750,1594,1663">&gt;-;¿s</WORD>
<WORD coords="814,1653,925,1600,1652">192</WORD>
<WORD coords="982,1651,1083,1622,1651">3=</WORD>
<WORD coords="1125,1652,1162,1599,1652">9</WORD>
<WORD coords="1193,1684,1276,1595,1684">-J-</WORD>
<WORD coords="1310,1651,1343,1598,1651">i</WORD>
<WORD coords="1359,1673,1591,1604,1652">peones</WORD>
<WORD coords="1609,1666,1628,1637,1666">i</WORD>
<WORD coords="1694,1669,1960,1594,1650">después</WORD>
<WORD coords="2018,1651,2096,1592,1650">de</WORD>
<WORD coords="2154,1672,2512,1592,1651">simplificar</WORD>
<WORD coords="2561,1655,2613,1603,1654">el</WORD>
<WORD coords="2666,1673,3008,1598,1654">quebrado&apos;.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="789,1762,955,1683,1762">~2T</WORD>
<WORD coords="1304,1761,1339,1708,1761">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="899,1846,1200,1785,1842">Cuestión</WORD>
<WORD coords="1289,1842,1347,1792,1841">3.</WORD>
<WORD coords="1373,1818,1410,1785,1818">rt</WORD>
<WORD coords="1527,1843,1603,1782,1841">Se</WORD>
<WORD coords="1653,1844,1793,1782,1840">sobe</WORD>
<WORD coords="1844,1863,1958,1800,1838">que</WORD>
<WORD coords="2012,1839,2050,1791,1839">2</WORD>
<WORD coords="2109,1859,2339,1793,1839">yuntas</WORD>
<WORD coords="2388,1840,2461,1784,1839">de</WORD>
<WORD coords="2517,1862,2732,1785,1840">bueyes</WORD>
<WORD coords="2765,1855,2781,1831,1849">,</WORD>
<WORD coords="2831,1843,2904,1804,1843">ra</WORD>
<WORD coords="2969,1844,3010,1793,1844">5</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="646,1955,782,1896,1952">dias</WORD>
<WORD coords="817,1964,833,1937,1957">¡</WORD>
<WORD coords="862,1950,1093,1893,1949">arando</WORD>
<WORD coords="1150,1948,1187,1896,1947">6</WORD>
<WORD coords="1245,1947,1432,1892,1946">Acras</WORD>
<WORD coords="1488,1947,1637,1890,1947">tWa</WORD>
<WORD coords="1681,1947,1784,1889,1945">¿#¿z</WORD>
<WORD coords="1816,1961,1832,1934,1954">,</WORD>
<WORD coords="1878,1947,2034,1908,1946">£?r¿w</WORD>
<WORD coords="2086,1946,2169,1908,1946">tm</WORD>
<WORD coords="2227,1948,2468,1901,1947">terreno</WORD>
<WORD coords="2535,1947,2606,1892,1947">de</WORD>
<WORD coords="2666,1948,2825,1897,1947">1000</WORD>
<WORD coords="2867,1948,3009,1889,1947">¿ra*</WORD>
</LINE>
<LINE>
<WORD coords="642,2060,757,2021,2059">zas</WORD>
<WORD coords="808,2057,879,2001,2057">de</WORD>
<WORD coords="930,2078,1104,2003,2055">largo</WORD>
<WORD coords="1152,2076,1194,2018,2066">y</WORD>
<WORD coords="1263,2056,1384,2006,2055">200</WORD>
<WORD coords="1442,2055,1512,1997,2054">de</WORD>
<WORD coords="1569,2053,1767,1998,2052">ancho</WORD>
<WORD coords="1803,2068,1817,2020,2068">;</WORD>
<WORD coords="1885,2074,2052,2009,2052">para</WORD>
<WORD coords="2108,2077,2221,2015,2052">que</WORD>
<WORD coords="2275,2053,2316,2002,2053">4</WORD>
<WORD coords="2368,2073,2593,2006,2052">yuntas</WORD>
<WORD coords="2659,2055,2728,1998,2054">de</WORD>
<WORD coords="2790,2072,3008,1996,2053">bueyes</WORD>
</LINE>
<LINE>
<WORD coords="644,2167,714,2129,2166">en</WORD>
<WORD coords="779,2164,811,2116,2164">3</WORD>
<WORD coords="865,2165,998,2108,2163">días</WORD>
<WORD coords="1036,2181,1053,2151,2173">,</WORD>
<WORD coords="1107,2165,1341,2107,2163">arando</WORD>
<WORD coords="1402,2165,1438,2110,2165">7</WORD>
<WORD coords="1496,2165,1682,2106,2162">horas</WORD>
<WORD coords="1741,2182,1859,2116,2160">por</WORD>
<WORD coords="1913,2161,2016,2102,2161">día</WORD>
<WORD coords="2072,2162,2223,2123,2160">aren</WORD>
<WORD coords="2282,2161,2363,2123,2161">un</WORD>
<WORD coords="2425,2163,2665,2114,2161">terreno</WORD>
<WORD coords="2725,2162,2797,2104,2162">de</WORD>
<WORD coords="2846,2162,3007,2107,2161">1500</WORD>
</LINE>
<LINE>
<WORD coords="607,2276,873,2212,2273">^brazas</WORD>
<WORD coords="926,2271,997,2214,2270">de</WORD>
<WORD coords="1050,2290,1225,2215,2270">largo</WORD>
<WORD coords="1261,2287,1278,2258,2287">,</WORD>
<WORD coords="1359,2292,1378,2237,2289">¿</WORD>
<WORD coords="1413,2293,1525,2230,2269">ywe</WORD>
<WORD coords="1582,2269,1773,2213,2268">ancho</WORD>
<WORD coords="1827,2266,1892,2229,2266">se</WORD>
<WORD coords="1944,2266,1995,2210,2265">le</WORD>
<WORD coords="2050,2267,2270,2209,2265">deberá</WORD>
<WORD coords="2320,2267,2434,2209,2265">dar</WORD>
<WORD coords="2467,2266,2488,2210,2266">?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="896,2379,1157,2322,2377">Escribo</WORD>
<WORD coords="1231,2395,1498,2321,2376">primero</WORD>
<WORD coords="1557,2376,1632,2339,2375">en</WORD>
<WORD coords="1695,2391,2069,2315,2373">compendio</WORD>
<WORD coords="2128,2374,2184,2318,2373">la</WORD>
<WORD coords="2243,2374,2521,2316,2372">cuestión</WORD>
<WORD coords="2603,2373,2743,2314,2371">asi:</WORD>
<WORD coords="2796,2396,2885,2319,2388">(2</WORD>
<WORD coords="2915,2394,3006,2335,2386">y.,</WORD>
</LINE>
<LINE>
<WORD coords="645,2487,761,2430,2487">5d.</WORD>
<WORD coords="798,2502,814,2474,2493">,</WORD>
<WORD coords="875,2485,911,2434,2485">6</WORD>
<WORD coords="947,2491,1004,2431,2491">A.</WORD>
<WORD coords="1042,2501,1059,2474,2493">,</WORD>
<WORD coords="1113,2486,1269,2436,2484">1G00</WORD>
<WORD coords="1300,2486,1353,2428,2485">¿.</WORD>
<WORD coords="1404,2484,1443,2427,2483">/.</WORD>
<WORD coords="1483,2499,1498,2470,2491">,</WORD>
<WORD coords="1537,2483,1659,2433,2482">200</WORD>
<WORD coords="1697,2484,1749,2425,2484">b.</WORD>
<WORD coords="1806,2504,1894,2425,2482">a.]</WORD>
<WORD coords="1945,2507,2099,2428,2491">[4*/.</WORD>
<WORD coords="2158,2495,2173,2470,2489">,</WORD>
<WORD coords="2231,2481,2264,2431,2482">3</WORD>
<WORD coords="2297,2481,2353,2424,2482">¿</WORD>
<WORD coords="2418,2496,2436,2468,2490">,</WORD>
<WORD coords="2467,2482,2614,2424,2480">7A.</WORD>
<WORD coords="2671,2482,2827,2431,2481">1500</WORD>
<WORD coords="2852,2481,2888,2424,2481">¿</WORD>
<WORD coords="2896,2481,2904,2468,2481">s</WORD>
<WORD coords="2940,2483,2977,2425,2483">/.</WORD>
<WORD coords="2986,2499,3008,2467,2499">f</WORD>
</LINE>
<LINE>
<WORD coords="808,2614,895,2536,2592">a.]</WORD>
<WORD coords="923,2606,945,2560,2606">;</WORD>
<WORD coords="1023,2611,1288,2537,2592">después</WORD>
<WORD coords="1358,2595,1623,2535,2591">observo</WORD>
<WORD coords="1678,2607,1795,2552,2590">que</WORD>
<WORD coords="1867,2588,1955,2534,2587">las</WORD>
<WORD coords="2021,2608,2319,2532,2587">primeras</WORD>
<WORD coords="2379,2588,2721,2548,2586">concausas</WORD>
<WORD coords="2794,2588,2907,2550,2587">son</WORD>
<WORD coords="2964,2588,3001,2539,2588">2</WORD>
</LINE>
<LINE>
<WORD coords="642,2721,865,2655,2698">yuntas</WORD>
<WORD coords="899,2714,917,2686,2705">,</WORD>
<WORD coords="977,2697,1011,2649,2697">5</WORD>
<WORD coords="1068,2699,1203,2641,2698">dias</WORD>
<WORD coords="1233,2714,1251,2685,2705">,</WORD>
<WORD coords="1305,2697,1342,2645,2697">6</WORD>
<WORD coords="1385,2698,1569,2640,2696">horas</WORD>
<WORD coords="1608,2712,1623,2683,2712">,</WORD>
<WORD coords="1655,2716,1694,2659,2705">y</WORD>
<WORD coords="1756,2695,1858,2659,2694">sus</WORD>
<WORD coords="1916,2695,2225,2636,2693">coefectos</WORD>
<WORD coords="2280,2711,2858,2636,2692">correspondientes</WORD>
<WORD coords="2891,2695,3004,2653,2693">son</WORD>
</LINE>
<LINE>
<WORD coords="650,2808,809,2756,2806">1000</WORD>
<WORD coords="860,2809,1076,2750,2806">brazas</WORD>
<WORD coords="1161,2826,1332,2751,2805">largo</WORD>
<WORD coords="1368,2817,1382,2794,2817">9</WORD>
<WORD coords="1456,2824,1494,2767,2814">y</WORD>
<WORD coords="1555,2804,1677,2753,2802">200</WORD>
<WORD coords="1744,2802,1938,2744,2800">ancho</WORD>
<WORD coords="1975,2803,1991,2770,2803">i</WORD>
<WORD coords="2076,2822,2196,2764,2801">que</WORD>
<WORD coords="2261,2801,2348,2743,2800">las</WORD>
<WORD coords="2433,2822,2744,2743,2798">segundas</WORD>
<WORD coords="2852,2799,2997,2761,2798">con»</WORD>
</LINE>
<LINE>
<WORD coords="641,2915,862,2875,2913">causas</WORD>
<WORD coords="916,2916,1028,2878,2914">son</WORD>
<WORD coords="1079,2916,1120,2864,2916">4</WORD>
<WORD coords="1169,2935,1436,2866,2911">yuntas,</WORD>
<WORD coords="1479,2909,1512,2860,2909">3</WORD>
<WORD coords="1554,2911,1684,2854,2909">dias</WORD>
<WORD coords="1721,2926,1738,2898,2918">,</WORD>
<WORD coords="1784,2910,1817,2857,2909">7</WORD>
<WORD coords="1864,2909,2045,2853,2907">horas</WORD>
<WORD coords="2080,2925,2094,2897,2925">,</WORD>
<WORD coords="2151,2928,2190,2872,2918">y</WORD>
<WORD coords="2239,2909,2344,2872,2907">sus</WORD>
<WORD coords="2399,2907,2710,2848,2905">coefectos</WORD>
<WORD coords="2765,2909,3002,2866,2906">corres-</WORD>
</LINE>
<LINE>
<WORD coords="643,3039,1012,2966,3022">pondientes</WORD>
<WORD coords="1068,3022,1177,2984,3021">son</WORD>
<WORD coords="1243,3021,1403,2970,3020">1500</WORD>
<WORD coords="1475,3021,1698,2962,3019">brazas</WORD>
<WORD coords="1776,3039,1944,2961,3016">largo</WORD>
<WORD coords="2029,3036,2067,2979,3027">y</WORD>
<WORD coords="2126,3016,2170,2979,3016">x</WORD>
<WORD coords="2236,3017,2460,2960,3015">brazas</WORD>
<WORD coords="2543,3015,2764,2955,3012">ancho.</WORD>
<WORD coords="2871,3020,3004,2957,3018">He*</WORD>
</LINE>
<LINE>
<WORD coords="611,3131,764,3072,3129">•cho</WORD>
<WORD coords="838,3128,971,3084,3127">esto</WORD>
<WORD coords="1018,3140,1033,3117,3140">t</WORD>
<WORD coords="1081,3149,1286,3091,3127">pongo</WORD>
<WORD coords="1343,3127,1402,3072,3126">la</WORD>
<WORD coords="1460,3146,1770,3069,3124">siguiente</WORD>
<WORD coords="1833,3124,2127,3068,3123">ecuación</WORD>
<WORD coords="2158,3125,2173,3088,3125">i</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="833,3235,870,3189,3236">2</WORD>
<WORD coords="916,3254,955,3199,3252">y</WORD>
<WORD coords="1026,3251,1101,3180,3251">X</WORD>
<WORD coords="1175,3236,1209,3188,3237">5</WORD>
<WORD coords="1265,3233,1309,3180,3233">d</WORD>
<WORD coords="1393,3254,1465,3179,3254">X</WORD>
<WORD coords="1516,3231,1550,3180,3231">6</WORD>
<WORD coords="1594,3251,1656,3160,3246">4</WORD>
<WORD coords="1959,3232,2116,3180,3236">1000</WORD>
<WORD coords="2146,3232,2201,3173,3233">¿.</WORD>
<WORD coords="2228,3230,2264,3173,3232">/«</WORD>
<WORD coords="2324,3248,2396,3176,3248">X</WORD>
<WORD coords="2471,3228,2594,3178,3232">200</WORD>
<WORD coords="2618,3229,2671,3172,3232">¿.</WORD>
<WORD coords="2709,3233,2771,3193,3233">g.</WORD>
<WORD coords="2952,3239,2974,3188,3239">|</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="833,3361,1098,3266,3327">4~¿/&quot;~&gt;&lt;</WORD>
<WORD coords="1131,3344,1285,3268,3342">T¿</WORD>
<WORD coords="1364,3363,1435,3290,3363">X</WORD>
<WORD coords="1506,3345,1539,3295,3344">7</WORD>
<WORD coords="1599,3344,1659,3290,3341">ñ,</WORD>
<WORD coords="1931,3338,2114,3265,3327">^1500</WORD>
<WORD coords="2145,3337,2196,3280,3336">b.</WORD>
<WORD coords="2225,3335,2262,3281,3335">I</WORD>
<WORD coords="2321,3357,2762,3260,3340">X~x^Tra.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="898,3467,1264,3392,3447">Multiplico</WORD>
<WORD coords="1319,3466,1589,3395,3449">después</WORD>
<WORD coords="1651,3449,1709,3391,3448">el</WORD>
<WORD coords="1764,3448,2142,3388,3443">numerador</WORD>
<WORD coords="2199,3442,2300,3386,3441">del</WORD>
<WORD coords="2362,3457,2678,3384,3438">quebrado</WORD>
<WORD coords="2750,3461,2872,3405,3443">que</WORD>
<WORD coords="2930,3447,3013,3404,3445">no</WORD>
</LINE>
<LINE>
<WORD coords="644,3557,814,3500,3555">tiene</WORD>
<WORD coords="890,3575,1201,3498,3552">incógnita</WORD>
<WORD coords="1234,3573,1365,3517,3555">-por</WORD>
<WORD coords="1429,3558,1586,3506,3555">1500</WORD>
<WORD coords="1616,3556,1667,3497,3556">h,</WORD>
<WORD coords="1703,3555,1738,3498,3555">l.</WORD>
<WORD coords="1796,3574,1835,3517,3563">y</WORD>
<WORD coords="1891,3553,2074,3497,3551">borro</WORD>
<WORD coords="2131,3547,2267,3502,3546">este</WORD>
<WORD coords="2332,3545,2528,3487,3543">factor</WORD>
<WORD coords="2579,3545,2682,3488,3544">del</WORD>
<WORD coords="2734,3548,2876,3487,3546">lado</WORD>
<WORD coords="2930,3552,3010,3493,3550">de</WORD>
</LINE>
<LINE>
<WORD coords="646,3663,706,3605,3662">la</WORD>
<WORD coords="766,3682,1081,3604,3659">incógnita</WORD>
<WORD coords="1135,3661,1180,3624,3661">x</WORD>
<WORD coords="1221,3662,1272,3604,3661">b.</WORD>
<WORD coords="1305,3662,1361,3626,3662">a,</WORD>
<WORD coords="1409,3674,1519,3605,3661">,1o</WORD>
<WORD coords="1564,3677,1683,3624,3660">que</WORD>
<WORD coords="1739,3670,1865,3603,3660">da,</WORD>
<WORD coords="1924,3656,2238,3599,3654">haciendo</WORD>
<WORD coords="2293,3652,2344,3597,3651">la</WORD>
<WORD coords="2398,3669,2725,3595,3648">operación</WORD>
<WORD coords="2766,3652,2841,3614,3652">en</WORD>
<WORD coords="2876,3655,3012,3598,3654">abs-</WORD>
</LINE>
<LINE>
<WORD coords="632,3769,841,3722,3768">&apos;tracto</WORD>
<WORD coords="874,3785,891,3753,3780">,</WORD>
<WORD coords="942,3768,1002,3711,3766">la</WORD>
<WORD coords="1056,3768,1353,3711,3766">ecuación</WORD>
<WORD coords="1402,3768,1441,3719,3771">2</WORD>
<WORD coords="1492,3782,1590,3711,3778">&gt;</WORD>
<WORD coords="1633,3765,1668,3718,3770">3</WORD>
<WORD coords="1719,3786,1792,3715,3786">X</WORD>
<WORD coords="1878,3764,1916,3714,3772">6</WORD>
<WORD coords="1974,3786,2048,3711,3786">X</WORD>
<WORD coords="2142,3761,2299,3711,3760">1500</WORD>
<WORD coords="2348,3767,2444,3728,3772">=</WORD>
<WORD coords="2502,3758,2658,3708,3757">1000</WORD>
<WORD coords="2712,3775,2784,3706,3775">X</WORD>
<WORD coords="2868,3759,2994,3709,3758">200</WORD>
<WORD coords="2995,3777,3017,3744,3777">«</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1566,3921,1598,3875,3921">4</WORD>
<WORD coords="1663,3943,2052,3869,3942">&gt;&lt;3X7</WORD>
<WORD coords="2595,3913,2638,3876,3913">x</WORD>
<WORD coords="2684,3912,2735,3855,3911">b.</WORD>
<WORD coords="2786,3913,2843,3875,3911">a.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="646,4057,690,3992,4050">y</WORD>
<WORD coords="746,4034,802,3977,4034">¡a</WORD>
<WORD coords="877,4056,1250,3972,4033">proporción</WORD>
<WORD coords="1327,4033,1363,3982,4039">2</WORD>
<WORD coords="1428,4054,1505,3976,4054">X</WORD>
<WORD coords="1570,4027,1602,3979,4027">5</WORD>
<WORD coords="1682,4056,1755,3976,4056">X</WORD>
<WORD coords="1833,4028,1870,3976,4028">6</WORD>
<WORD coords="1920,4050,1993,3975,4050">X</WORD>
<WORD coords="2076,4029,2235,3974,4027">1500</WORD>
<WORD coords="2287,4028,2303,3988,4028">:</WORD>
<WORD coords="2359,4025,2400,3971,4025">4</WORD>
<WORD coords="2457,4043,2532,3967,4043">X</WORD>
<WORD coords="2605,4021,2638,3970,4021">3</WORD>
<WORD coords="2711,4047,2788,3966,4047">X</WORD>
<WORD coords="2865,4021,2902,3965,4021">7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0146.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0147.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0147.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1254,590,1466,494,590">137</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="178,698,339,640,698">1000</WORD>
<WORD coords="393,719,473,639,719">X</WORD>
<WORD coords="542,700,665,645,703">200</WORD>
<WORD coords="750,705,768,662,708">:</WORD>
<WORD coords="819,704,868,659,704">X</WORD>
<WORD coords="895,705,947,642,704">h.</WORD>
<WORD coords="1001,705,1058,663,703">a.</WORD>
<WORD coords="1117,704,1209,670,704">as</WORD>
<WORD coords="1265,706,1419,657,706">1000</WORD>
<WORD coords="1477,729,1548,654,729">X</WORD>
<WORD coords="1616,707,1734,660,705">?0O</WORD>
<WORD coords="1776,734,1855,656,723">^</WORD>
<WORD coords="1916,712,1956,661,712">4</WORD>
<WORD coords="1998,731,2076,653,721">^</WORD>
<WORD coords="2147,712,2178,663,712">3</WORD>
<WORD coords="2226,734,2304,657,734">X</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="193,959,355,904,960">1000</WORD>
<WORD coords="402,978,477,903,978">X</WORD>
<WORD coords="538,959,572,911,965">2</WORD>
<WORD coords="621,984,700,906,984">X</WORD>
<WORD coords="804,978,987,905,968">5^»</WORD>
<WORD coords="1063,963,1188,912,966">200</WORD>
<WORD coords="1247,981,1406,909,974">&gt;¡2</WORD>
<WORD coords="1462,983,1531,915,983">X</WORD>
<WORD coords="1592,993,2011,917,974">7=40)&lt;</WORD>
<WORD coords="2076,972,2113,925,972">2</WORD>
<WORD coords="2169,992,2243,913,992">X</WORD>
<WORD coords="2326,969,2363,916,970">7</WORD>
<WORD coords="2433,971,2544,924,971">=S</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="415,1112,452,1064,1122">5</WORD>
<WORD coords="509,1136,585,1059,1136">X</WORD>
<WORD coords="662,1116,733,1066,1116">15</WORD>
<WORD coords="1323,1122,1394,1059,1127">Í5</WORD>
<WORD coords="2021,1123,2059,1072,1123">3</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="172,1192,294,1137,1192">560</WORD>
<WORD coords="336,1196,429,1165,1194">s=ss</WORD>
<WORD coords="492,1199,610,1147,1198">186</WORD>
<WORD coords="801,1200,838,1151,1200">2</WORD>
<WORD coords="900,1206,1127,1141,1202">brazas</WORD>
<WORD coords="1183,1202,1252,1142,1201">de</WORD>
<WORD coords="1298,1205,1514,1146,1202">ancho.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="228,1298,264,1247,1298">3</WORD>
<WORD coords="293,1238,337,1224,1284">~</WORD>
<WORD coords="784,1328,848,1227,1328">£</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="419,1389,679,1327,1386">Resulta</WORD>
<WORD coords="727,1390,831,1330,1389">del</WORD>
<WORD coords="886,1391,1126,1332,1389">cálculo</WORD>
<WORD coords="1179,1392,1454,1332,1390">anterior</WORD>
<WORD coords="1485,1409,1504,1380,1409">,</WORD>
<WORD coords="1560,1411,1683,1353,1394">que</WORD>
<WORD coords="1744,1396,1800,1337,1395">el</WORD>
<WORD coords="1852,1397,2048,1337,1395">ancho</WORD>
<WORD coords="2107,1412,2342,1337,1394">pedido</WORD>
<WORD coords="2415,1398,2527,1337,1398">de»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="167,1490,243,1429,1488">be</WORD>
<WORD coords="306,1491,407,1451,1490">ser</WORD>
<WORD coords="444,1492,521,1436,1492">de</WORD>
<WORD coords="577,1494,690,1440,1494">186</WORD>
<WORD coords="737,1497,964,1437,1494">brazas</WORD>
<WORD coords="1020,1497,1152,1457,1495">mus</WORD>
<WORD coords="1215,1498,1320,1440,1497">dos</WORD>
<WORD coords="1368,1499,1593,1441,1497">tercios</WORD>
<WORD coords="1638,1501,1712,1442,1501">de</WORD>
<WORD coords="1759,1502,1950,1441,1500">braza</WORD>
<WORD coords="1979,1514,1996,1465,1507">;</WORD>
<WORD coords="2032,1500,2105,1463,1499">en</WORD>
<WORD coords="2167,1504,2355,1443,1501">dicho</WORD>
<WORD coords="2415,1504,2541,1445,1503">cál-</WORD>
</LINE>
<LINE>
<WORD coords="162,1596,304,1536,1594">culo</WORD>
<WORD coords="350,1596,415,1558,1596">se</WORD>
<WORD coords="448,1614,701,1540,1597">prefiere</WORD>
<WORD coords="745,1599,802,1542,1598">el</WORD>
<WORD coords="854,1599,908,1542,1598">ir</WORD>
<WORD coords="940,1602,1274,1541,1600">indicando</WORD>
<WORD coords="1332,1603,1421,1545,1602">las</WORD>
<WORD coords="1484,1623,2038,1547,1603">multiplicaciones</WORD>
<WORD coords="2070,1625,2109,1568,1624">y</WORD>
<WORD coords="2141,1624,2542,1548,1605">particiones*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="158,1701,278,1660,1701">con</WORD>
<WORD coords="354,1703,410,1645,1702">el</WORD>
<WORD coords="462,1704,541,1647,1703">fin</WORD>
<WORD coords="600,1707,677,1647,1707">de</WORD>
<WORD coords="744,1726,1105,1648,1705">simplificar</WORD>
<WORD coords="1181,1707,1271,1651,1706">los</WORD>
<WORD coords="1343,1728,1692,1651,1710">quebrados</WORD>
<WORD coords="1776,1729,2206,1653,1709">suprimiendo</WORD>
<WORD coords="2265,1714,2544,1652,1712">factores</WORD>
</LINE>
<LINE>
<WORD coords="167,1786,486,1744,1783">comunes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="415,1871,910,1811,1869">Demostración*</WORD>
<WORD coords="1003,1871,1085,1813,1870">El</WORD>
<WORD coords="1154,1891,1463,1816,1873">producto</WORD>
<WORD coords="1534,1874,1613,1817,1874">de</WORD>
<WORD coords="1682,1876,1767,1817,1875">las</WORD>
<WORD coords="1833,1895,2132,1817,1874">primeras</WORD>
<WORD coords="2185,1877,2526,1836,1875">concausas</WORD>
</LINE>
<LINE>
<WORD coords="165,1976,235,1935,1975">se</WORD>
<WORD coords="294,1977,512,1917,1975">divide</WORD>
<WORD coords="575,1995,685,1937,1976">por</WORD>
<WORD coords="737,1979,795,1922,1978">el</WORD>
<WORD coords="872,1998,1178,1923,1979">producto</WORD>
<WORD coords="1226,1980,1304,1924,1979">de</WORD>
<WORD coords="1363,1980,1451,1923,1979">las</WORD>
<WORD coords="1498,2004,1807,1926,1981">segundas</WORD>
<WORD coords="1829,1998,1847,1969,1998">,</WORD>
<WORD coords="1924,2001,2069,1944,1982">para</WORD>
<WORD coords="2123,1982,2237,1942,1981">ver</WORD>
<WORD coords="2286,1982,2543,1934,1980">cuantas</WORD>
</LINE>
<LINE>
<WORD coords="160,2082,345,2040,2080">veces</WORD>
<WORD coords="394,2083,453,2024,2081">la</WORD>
<WORD coords="507,2084,768,2026,2083">reunión</WORD>
<WORD coords="825,2102,935,2046,2084">por</WORD>
<WORD coords="992,2086,1090,2030,2085">vía</WORD>
<WORD coords="1146,2085,1224,2029,2085">de</WORD>
<WORD coords="1285,2103,1773,2030,2086">muitípíicacion</WORD>
<WORD coords="1832,2089,1909,2031,2088">de</WORD>
<WORD coords="1959,2088,2046,2032,2086">las</WORD>
<WORD coords="2093,2106,2395,2032,2085">primeras</WORD>
<WORD coords="2467,2088,2537,2047,2087">es</WORD>
</LINE>
<LINE>
<WORD coords="155,2208,377,2148,2187">mayor</WORD>
<WORD coords="429,2190,469,2132,2191">ó</WORD>
<WORD coords="527,2190,743,2151,2189">menor</WORD>
<WORD coords="797,2208,914,2153,2190">que</WORD>
<WORD coords="960,2191,1016,2135,2190">la</WORD>
<WORD coords="1075,2192,1301,2134,2190">misma</WORD>
<WORD coords="1360,2195,1620,2136,2192">reunión</WORD>
<WORD coords="1665,2194,1745,2137,2194">de</WORD>
<WORD coords="1802,2194,1889,2138,2193">las</WORD>
<WORD coords="1940,2214,2262,2141,2195">segundas</WORD>
<WORD coords="2354,2215,2394,2159,2210">y</WORD>
<WORD coords="2420,2197,2526,2159,2196">co-</WORD>
</LINE>
<LINE>
<WORD coords="155,2293,262,2252,2292">mo</WORD>
<WORD coords="309,2297,532,2252,2295">cuanto</WORD>
<WORD coords="586,2316,799,2256,2294">mayor</WORD>
<WORD coords="852,2295,889,2239,2296">ó</WORD>
<WORD coords="925,2295,1141,2255,2294">menor</WORD>
<WORD coords="1186,2298,1251,2261,2296">es</WORD>
<WORD coords="1300,2298,1356,2243,2297">el</WORD>
<WORD coords="1406,2318,1710,2245,2298">producto</WORD>
<WORD coords="1761,2301,1839,2243,2300">de</WORD>
<WORD coords="1893,2301,1981,2246,2301">las</WORD>
<WORD coords="2036,2314,2337,2247,2301">primeras</WORD>
<WORD coords="2383,2303,2555,2260,2302">con»,</WORD>
</LINE>
<LINE>
<WORD coords="161,2402,382,2361,2399">causas</WORD>
<WORD coords="434,2419,555,2363,2401">que</WORD>
<WORD coords="600,2401,658,2346,2400">el</WORD>
<WORD coords="720,2400,798,2346,2400">de</WORD>
<WORD coords="857,2403,944,2347,2401">las</WORD>
<WORD coords="1005,2422,1371,2346,2401">segundas,</WORD>
<WORD coords="1427,2406,1562,2360,2403">otro</WORD>
<WORD coords="1615,2407,1784,2363,2406">tanto</WORD>
<WORD coords="1844,2426,2058,2369,2405">mayor</WORD>
<WORD coords="2106,2408,2143,2351,2408">ó</WORD>
<WORD coords="2188,2408,2404,2370,2407">menor</WORD>
<WORD coords="2429,2409,2554,2370,2408">se-,</WORD>
</LINE>
<LINE>
<WORD coords="156,2506,227,2467,2505">ra</WORD>
<WORD coords="296,2507,353,2450,2507">el</WORD>
<WORD coords="403,2526,709,2452,2507">producto</WORD>
<WORD coords="762,2508,840,2451,2508">de</WORD>
<WORD coords="901,2508,990,2454,2507">los</WORD>
<WORD coords="1038,2514,1355,2451,2509">coefectos</WORD>
<WORD coords="1564,2531,1842,2456,2511">aquellas</WORD>
<WORD coords="1901,2531,2024,2475,2512">que</WORD>
<WORD coords="2070,2513,2124,2457,2512">el</WORD>
<WORD coords="2181,2513,2257,2456,2512">de</WORD>
<WORD coords="2335,2527,2521,2470,2513">estas,</WORD>
</LINE>
<LINE>
<WORD coords="150,2613,380,2557,2611">resulta</WORD>
<WORD coords="436,2634,557,2577,2613">que</WORD>
<WORD coords="608,2614,769,2569,2613">estas</WORD>
<WORD coords="816,2617,1162,2557,2613">divisiones</WORD>
<WORD coords="1217,2616,1539,2560,2615">indicadas</WORD>
<WORD coords="1567,2633,1586,2602,2625">,</WORD>
<WORD coords="1633,2617,1670,2561,2617">ó</WORD>
<WORD coords="1717,2637,2068,2562,2618">quebrados</WORD>
<WORD coords="2132,2619,2329,2562,2618">deben</WORD>
<WORD coords="2384,2620,2519,2562,2618">for-</WORD>
</LINE>
<LINE>
<WORD coords="149,2720,286,2679,2717">mar</WORD>
<WORD coords="333,2720,653,2662,2718">ecuación.</WORD>
<WORD coords="742,2720,808,2663,2719">Si</WORD>
<WORD coords="862,2721,1027,2675,2719">e*.tos</WORD>
<WORD coords="1065,2739,1416,2666,2721">quebrados</WORD>
<WORD coords="1469,2746,1709,2665,2722">iguales</WORD>
<WORD coords="1756,2725,1822,2687,2723">se</WORD>
<WORD coords="1858,2742,2241,2667,2723">multiplican</WORD>
<WORD coords="2285,2741,2393,2686,2723">por</WORD>
<WORD coords="2423,2727,2505,2685,2725">ua</WORD>
</LINE>
<LINE>
<WORD coords="150,2828,391,2770,2826">mismo-</WORD>
<WORD coords="427,2844,723,2792,2828">numero,</WORD>
<WORD coords="746,2833,884,2776,2831">cual</WORD>
<WORD coords="907,2786,908,2784,2832">&apos;</WORD>
<WORD coords="941,2832,1009,2794,2831">es</WORD>
<WORD coords="1067,2832,1123,2776,2831">el</WORD>
<WORD coords="1185,2850,1490,2776,2832">producto</WORD>
<WORD coords="1552,2854,1672,2797,2834">que</WORD>
<WORD coords="1727,2852,2068,2775,2832">multiplica</WORD>
<WORD coords="2119,2829,2149,2775,2830">á</WORD>
<WORD coords="2203,2829,2260,2774,2829">la</WORD>
<WORD coords="2304,2851,2518,2776,2827">incog*</WORD>
</LINE>
<LINE>
<WORD coords="145,2933,277,2876,2931">pita</WORD>
<WORD coords="341,2933,438,2879,2933">de.</WORD>
<WORD coords="498,2936,579,2899,2935">un</WORD>
<WORD coords="638,2953,1139,2878,2936">denominador,</WORD>
<WORD coords="1191,2938,1269,2901,2938">no</WORD>
<WORD coords="1323,2939,1387,2901,2938">se</WORD>
<WORD coords="1447,2940,1705,2883,2939">alterará</WORD>
<WORD coords="1771,2963,1915,2889,2947">fax-</WORD>
<WORD coords="1984,2953,2178,2879,2953">6.*J</WORD>
<WORD coords="2232,2937,2286,2880,2935">la</WORD>
<WORD coords="2333,2937,2517,2898,2935">ecua-</WORD>
</LINE>
<LINE>
<WORD coords="143,3051,339,2984,3038">ción;</WORD>
<WORD coords="395,3057,623,2983,3042">ahora,</WORD>
<WORD coords="686,3057,826,3005,3042">para</WORD>
<WORD coords="883,3065,1262,2989,3045">multiplicar</WORD>
<WORD coords="1317,3065,1669,2989,3045">quebrados</WORD>
<WORD coords="1733,3064,1843,3008,3045">por</WORD>
<WORD coords="1920,3046,2000,3008,3045">un</WORD>
<WORD coords="2061,3055,2322,2995,3040">entero,</WORD>
<WORD coords="2380,3045,2515,2988,3042">solo</WORD>
</LINE>
<LINE>
<WORD coords="146,3144,211,3107,3143">se</WORD>
<WORD coords="266,3144,297,3098,3144">ri</WORD>
<WORD coords="329,3159,646,3093,3146">ustíplican</WORD>
<WORD coords="704,3151,796,3096,3150">los</WORD>
<WORD coords="853,3154,1301,3097,3152">numeradores</WORD>
<WORD coords="1336,3168,1354,3140,3168">,</WORD>
<WORD coords="1411,3174,1451,3118,3164">y</WORD>
<WORD coords="1527,3155,1592,3118,3154">se</WORD>
<WORD coords="1651,3169,1926,3095,3152">suprime</WORD>
<WORD coords="1974,3150,2033,3094,3149">el</WORD>
<WORD coords="2119,3145,2330,3102,3144">entero</WORD>
<WORD coords="2394,3166,2517,3110,3150">que</WORD>
</LINE>
<LINE>
<WORD coords="148,3252,288,3213,3249">esta</WORD>
<WORD coords="344,3252,420,3196,3251">de</WORD>
<WORD coords="457,3262,910,3198,3256">denominador</WORD>
<WORD coords="969,3260,1044,3222,3259">en</WORD>
<WORD coords="1092,3260,1147,3203,3258">el</WORD>
<WORD coords="1210,3262,1289,3222,3260">un</WORD>
<WORD coords="1343,3279,1659,3204,3259">quebrado</WORD>
<WORD coords="1695,3270,1712,3225,3270">;</WORD>
<WORD coords="1758,3276,1938,3203,3256">luego</WORD>
<WORD coords="1992,3256,2067,3217,3255">en</WORD>
<WORD coords="2118,3251,2300,3195,3249">dicha</WORD>
<WORD coords="2330,3257,2514,3216,3255">ecua.</WORD>
</LINE>
<LINE>
<WORD coords="148,3358,228,3319,3357">cu</WORD>
<WORD coords="258,3357,293,3322,3357">n</WORD>
<WORD coords="349,3358,483,3303,3357">solo</WORD>
<WORD coords="542,3361,608,3324,3360">se</WORD>
<WORD coords="652,3363,810,3306,3362">debe</WORD>
<WORD coords="871,3383,1250,3310,3365">multiplicar</WORD>
<WORD coords="1294,3368,1350,3311,3366">el</WORD>
<WORD coords="1395,3366,1772,3307,3363">numerador</WORD>
<WORD coords="1827,3362,1928,3306,3361">del</WORD>
<WORD coords="1983,3378,2303,3302,3359">quebrado</WORD>
<WORD coords="2336,3372,2352,3346,3372">,</WORD>
<WORD coords="2387,3379,2511,3324,3363">que</WORD>
</LINE>
<LINE>
<WORD coords="155,3463,234,3425,3462">no</WORD>
<WORD coords="292,3465,457,3408,3464">tiene</WORD>
<WORD coords="513,3488,826,3410,3467">incógnita</WORD>
<WORD coords="854,3486,872,3457,3486">,</WORD>
<WORD coords="916,3486,1026,3433,3471">por</WORD>
<WORD coords="1078,3473,1228,3417,3472">todo</WORD>
<WORD coords="1284,3472,1347,3416,3472">lo</WORD>
<WORD coords="1392,3488,1511,3434,3470">que</WORD>
<WORD coords="1565,3470,1619,3416,3468">la</WORD>
<WORD coords="1678,3468,1783,3431,3468">mu</WORD>
<WORD coords="1811,3468,1852,3423,3465">ti</WORD>
<WORD coords="1867,3481,2020,3411,3465">plica</WORD>
<WORD coords="2052,3477,2069,3454,3477">,</WORD>
<WORD coords="2115,3488,2154,3430,3482">y</WORD>
<WORD coords="2207,3477,2510,3410,3468">suprimir</WORD>
</LINE>
<LINE>
<WORD coords="151,3570,289,3526,3569">esto</WORD>
<WORD coords="346,3571,420,3533,3570">en</WORD>
<WORD coords="473,3573,531,3517,3572">el</WORD>
<WORD coords="587,3578,1039,3518,3575">denominador</WORD>
<WORD coords="1085,3579,1289,3521,3578">donde</WORD>
<WORD coords="1327,3578,1391,3542,3578">se</WORD>
<WORD coords="1435,3577,1617,3518,3574">halla.</WORD>
<WORD coords="1709,3575,1910,3519,3572">Como</WORD>
<WORD coords="1958,3572,2089,3518,3570">solo</WORD>
<WORD coords="2150,3575,2329,3518,3573">habia</WORD>
<WORD coords="2377,3591,2501,3535,3574">que</WORD>
</LINE>
<LINE>
<WORD coords="150,3673,261,3615,3672">dar</WORD>
<WORD coords="316,3678,509,3636,3676">razón</WORD>
<WORD coords="559,3679,638,3622,3678">de</WORD>
<WORD coords="693,3696,866,3633,3680">esto,</WORD>
<WORD coords="917,3702,1068,3643,3684">pues</WORD>
<WORD coords="1124,3685,1183,3629,3684">lo</WORD>
<WORD coords="1242,3685,1458,3628,3685">demás</WORD>
<WORD coords="1513,3702,1591,3643,3683">ya</WORD>
<WORD coords="1650,3681,1780,3634,3680">esta</WORD>
<WORD coords="1857,3682,2259,3622,3680">demostrado</WORD>
<WORD coords="2311,3700,2519,3632,3679">atray</WORD>
</LINE>
<LINE>
<WORD coords="143,3785,371,3726,3783">resulta</WORD>
<WORD coords="423,3788,495,3725,3785">t*i</WORD>
<WORD coords="545,3802,629,3728,3791">Q.</WORD>
<WORD coords="679,3788,762,3729,3788">ü.</WORD>
<WORD coords="828,3791,918,3729,3788">O.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="927,3902,1246,3839,3899">REGLA</WORD>
<WORD coords="1297,3919,1829,3839,3902">CONJUNTA.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="468,4074,548,4013,4074">Se</WORD>
<WORD coords="582,4077,768,4018,4075">llama</WORD>
<WORD coords="823,4101,1005,4018,4077">regla</WORD>
<WORD coords="1054,4100,1345,4018,4076">conjunta</WORD>
<WORD coords="1402,4079,1520,4038,4078">una</WORD>
<WORD coords="1552,4099,1920,4020,4079">proporción</WORD>
<WORD coords="1952,4099,1972,4065,4099">,</WORD>
<WORD coords="2012,4103,2169,4038,4081">cuya</WORD>
<WORD coords="2226,4096,2492,4014,4073">primera</WORD>
</LINE>
<LINE>
<WORD coords="1286,4161,1367,4105,4160">56</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0147.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0148.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0148.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="692,745,887,699,741">razón</WORD>
<WORD coords="940,741,1072,684,740">esta</WORD>
<WORD coords="1115,750,1476,689,738">compuesta</WORD>
<WORD coords="1532,739,1608,681,738">de</WORD>
<WORD coords="1665,737,1777,680,735">dos</WORD>
<WORD coords="1832,736,1867,702,736">o</WORD>
<WORD coords="1926,738,2055,701,737">mas</WORD>
<WORD coords="2103,753,2405,699,736">razones,</WORD>
<WORD coords="2444,758,2484,702,748">y</WORD>
<WORD coords="2537,739,2590,683,739">ta</WORD>
<WORD coords="2654,759,2929,680,736">seguhja</WORD>
<WORD coords="2989,778,3061,674,742">ej^</WORD>
</LINE>
<LINE>
<WORD coords="687,851,809,811,849">una</WORD>
<WORD coords="866,850,1053,811,848">razón</WORD>
<WORD coords="1112,865,1333,791,847">simple</WORD>
<WORD coords="1365,851,1381,814,850">:</WORD>
<WORD coords="1446,849,1615,806,848">toma</WORD>
<WORD coords="1666,849,1719,795,848">el</WORD>
<WORD coords="1776,850,2030,793,848">nombre</WORD>
<WORD coords="2081,849,2169,794,848">.de</WORD>
<WORD coords="2237,872,2526,799,851">conjunta</WORD>
<WORD coords="2557,861,2572,838,861">,</WORD>
<WORD coords="2612,866,2844,808,842">porque</WORD>
<WORD coords="2879,841,2933,792,840">el</WORD>
<WORD coords="2965,843,3061,807,842">re-</WORD>
</LINE>
<LINE>
<WORD coords="689,955,936,895,953">sultado</WORD>
<WORD coords="993,954,1056,902,954">sé</WORD>
<WORD coords="1110,955,1277,896,951">halla</WORD>
<WORD coords="1319,972,1434,917,953">por</WORD>
<WORD coords="1483,956,1600,918,954">una</WORD>
<WORD coords="1654,954,1783,903,953">sota</WORD>
<WORD coords="1844,978,2009,902,955">regla</WORD>
<WORD coords="2064,957,2142,900,957">dé</WORD>
<WORD coords="2200,966,2379,912,956">tres..,</WORD>
<WORD coords="2443,977,2826,897,954">pudiéndose</WORD>
<WORD coords="2877,953,3071,896,951">haílaf</WORD>
</LINE>
<LINE>
<WORD coords="698,1080,813,1020,1058">por</WORD>
<WORD coords="869,1060,1143,1002,1059">muchas.</WORD>
<WORD coords="1212,1060,1296,1004,1060">Su</WORD>
<WORD coords="1355,1061,1468,1024,1058">uso</WORD>
<WORD coords="1525,1079,1818,1003,1059">principal</WORD>
<WORD coords="1859,1061,1922,1027,1061">es</WORD>
<WORD coords="1979,1064,2226,1005,1062">reducir</WORD>
<WORD coords="2288,1063,2568,1007,1062">medidas</WORD>
<WORD coords="2605,1078,2622,1051,1078">,</WORD>
<WORD coords="2656,1080,2833,1024,1059">pesos</WORD>
<WORD coords="2866,1080,2903,1024,1069">y</WORD>
<WORD coords="2939,1058,3088,1005,1056">mo-*</WORD>
</LINE>
<LINE>
<WORD coords="690,1169,883,1110,1167">Cedas</WORD>
<WORD coords="956,1188,1345,1121,1165">e^trang^rps</WORD>
<WORD coords="1407,1167,1441,1113,1167">á</WORD>
<WORD coords="1508,1167,1600,1111,1166">los</WORD>
<WORD coords="1660,1167,1737,1109,1167">de</WORD>
<WORD coords="1807,1169,1887,1131,1168">un</WORD>
<WORD coords="1946,1185,2093,1133,1168">país.</WORD>
<WORD coords="2191,1167,2316,1112,1167">Las</WORD>
<WORD coords="2373,1168,2722,1114,1166">cuestiones</WORD>
<WORD coords="2760,1179,2778,1154,1179">,</WORD>
<WORD coords="2823,1185,2941,1128,1167">que</WORD>
<WORD coords="3001,1167,3070,1124,1162">are</WORD>
</LINE>
<LINE>
<WORD coords="687,1278,1017,1217,1274">iresuelven</WORD>
<WORD coords="1073,1293,1182,1236,1272">por</WORD>
<WORD coords="1239,1274,1368,1228,1272">esta</WORD>
<WORD coords="1423,1296,1591,1218,1270">regla</WORD>
<WORD coords="1630,1285,1647,1261,1280">,</WORD>
<WORD coords="1686,1275,1750,1238,1274">se</WORD>
<WORD coords="1806,1277,2108,1221,1274">enuncian</WORD>
<WORD coords="2156,1274,2335,1239,1273">como</WORD>
<WORD coords="2383,1273,2437,1221,1273">la</WORD>
<WORD coords="2487,1296,2757,1219,1272">siguient</WORD>
<WORD coords="2801,1273,2819,1238,1273">:</WORD>
<WORD coords="3079,1276,3083,1271,1276">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="944,1382,1243,1323,1379">Cuestión</WORD>
<WORD coords="1323,1383,1443,1324,1375">1,*</WORD>
<WORD coords="1553,1380,1620,1325,1379">Si</WORD>
<WORD coords="1681,1381,1716,1331,1381">8</WORD>
<WORD coords="1802,1381,2076,1323,1379">borricos</WORD>
<WORD coords="2140,1381,2313,1327,1380">valen</WORD>
<WORD coords="2385,1380,2465,1330,1379">40</WORD>
<WORD coords="2502,1400,2678,1337,1380">pesos</WORD>
<WORD coords="2714,1393,2730,1369,1386">,</WORD>
<WORD coords="2799,1380,2837,1314,1380">1</WORD>
<WORD coords="2884,1398,3064,1331,1374">peso9</WORD>
</LINE>
<LINE>
<WORD coords="708,1486,882,1430,1483">valen</WORD>
<WORD coords="944,1486,1018,1436,1485">10</WORD>
<WORD coords="1068,1487,1359,1449,1485">carneros</WORD>
<WORD coords="1388,1502,1404,1473,1494">,</WORD>
<WORD coords="1459,1487,1494,1440,1487">2</WORD>
<WORD coords="1554,1487,1841,1450,1484">carneros</WORD>
<WORD coords="1886,1488,2062,1437,1487">valen</WORD>
<WORD coords="2110,1489,2151,1436,1488">4&gt;</WORD>
<WORD coords="2200,1507,2487,1431,1485">gallinas</WORD>
<WORD coords="2515,1494,2535,1453,1494">;</WORD>
<WORD coords="2599,1511,2635,1454,1497">¿</WORD>
<WORD coords="2675,1483,2748,1432,1483">16</WORD>
<WORD coords="2793,1484,3080,1427,1481">borrico*</WORD>
</LINE>
<LINE>
<WORD coords="682,1574,946,1520,1568">Cuantas</WORD>
<WORD coords="990,1585,1269,1514,1567">gallinas</WORD>
<WORD coords="1324,1570,1627,1512,1569">valdrán?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="941,1661,1345,1595,1650">Resolución.,</WORD>
<WORD coords="1421,1652,1622,1596,1651">Como</WORD>
<WORD coords="1681,1664,1854,1595,1650">eada^</WORD>
<WORD coords="1896,1672,2123,1614,1650">genero</WORD>
<WORD coords="2172,1650,2236,1616,1650">es</WORD>
<WORD coords="2290,1674,2451,1594,1650">igual</WORD>
<WORD coords="2508,1651,2537,1599,1651">á</WORD>
<WORD coords="2592,1652,2663,1616,1652">su</WORD>
<WORD coords="2727,1661,2945,1591,1648">valor,</WORD>
</LINE>
<LINE>
<WORD coords="689,1775,869,1697,1753">sigue</WORD>
<WORD coords="919,1774,1038,1720,1756">que</WORD>
<WORD coords="1101,1776,1430,1700,1756">podremos</WORD>
<WORD coords="1488,1758,1719,1699,1756">formar</WORD>
<WORD coords="1763,1757,1961,1714,1755">tantas</WORD>
<WORD coords="2028,1762,2393,1702,1756">ecuaciones</WORD>
<WORD coords="2427,1771,2443,1747,1764">,</WORD>
<WORD coords="2491,1758,2670,1719,1757">como</WORD>
<WORD coords="2720,1778,2976,1718,1751">géneros</WORD>
<WORD coords="3009,1772,3051,1714,1772">y</WORD>
</LINE>
<LINE>
<WORD coords="693,1865,937,1808,1863">valores</WORD>
<WORD coords="997,1879,1578,1807,1862">correspondientes</WORD>
<WORD coords="1614,1883,1766,1806,1862">haya</WORD>
<WORD coords="1801,1878,1820,1830,1878">;</WORD>
<WORD coords="1873,1884,2019,1808,1863">lueg</WORD>
<WORD coords="2043,1859,2056,1831,1859">&gt;</WORD>
<WORD coords="2117,1864,2471,1806,1862">tendremos</WORD>
<WORD coords="2527,1865,2615,1810,1863">las</WORD>
<WORD coords="2675,1882,3044,1807,1859">siguientes:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="952,1985,1223,1912,1968">Ahora,</WORD>
<WORD coords="1285,1971,1403,1932,1970">una</WORD>
<WORD coords="1481,1970,1775,1913,1969">ecuación</WORD>
<WORD coords="1855,1969,1933,1933,1968">no</WORD>
<WORD coords="2017,1971,2081,1934,1970">se</WORD>
<WORD coords="2254,1990,2462,1918,1973">(1.*)</WORD>
<WORD coords="2547,1971,2621,1915,1971">2b</WORD>
<WORD coords="2729,1977,2833,1939,1977">=</WORD>
<WORD coords="2920,1984,3043,1914,1958">40/r</WORD>
<WORD coords="3047,1967,3066,1942,1967">#</WORD>
</LINE>
<LINE>
<WORD coords="696,2077,884,2018,2073">álterá</WORD>
<WORD coords="918,2088,935,2063,2088">,</WORD>
<WORD coords="981,2093,1226,2036,2074">aunque</WORD>
<WORD coords="1272,2075,1336,2035,2074">se</WORD>
<WORD coords="1392,2094,1831,2020,2074">multipliquen</WORD>
<WORD coords="1867,2075,1904,2021,2075">ó</WORD>
<WORD coords="1938,2091,2069,2040,2076">par-</WORD>
<WORD coords="2144,2088,2153,2078,2088">.</WORD>
<WORD coords="2241,2101,2332,2025,2083">(2.</WORD>
<WORD coords="2365,2054,2397,2026,2054">re</WORD>
<WORD coords="2430,2097,2456,2020,2090">)</WORD>
<WORD coords="2546,2099,2651,2029,2077">Sp.</WORD>
<WORD coords="2737,2082,2845,2045,2081">=</WORD>
<WORD coords="2935,2081,3063,2025,2077">10^,</WORD>
</LINE>
<LINE>
<WORD coords="697,2184,800,2133,2182">taíi</WORD>
<WORD coords="846,2183,950,2145,2181">sus</WORD>
<WORD coords="1004,2182,1119,2126,2180">dos</WORD>
<WORD coords="1180,2181,1515,2125,2179">miembros</WORD>
<WORD coords="1559,2200,1669,2143,2180">por</WORD>
<WORD coords="1700,2184,1782,2145,2182">un</WORD>
<WORD coords="1844,2183,2071,2127,2182">násmo</WORD>
<WORD coords="2239,2206,2264,2138,2206">(</WORD>
<WORD coords="2276,2183,2308,2137,2183">3</WORD>
<WORD coords="2359,2163,2395,2130,2163">86</WORD>
<WORD coords="2423,2204,2450,2130,2194">)</WORD>
<WORD coords="2540,2185,2631,2138,2184">2c.</WORD>
<WORD coords="2735,2185,2832,2154,2184">===</WORD>
<WORD coords="2916,2184,2955,2138,2184">4</WORD>
<WORD coords="2990,2205,3067,2147,2196">^#</WORD>
</LINE>
<LINE>
<WORD coords="695,2290,963,2247,2288">numero</WORD>
<WORD coords="996,2311,1020,2237,2299">(</WORD>
<WORD coords="1054,2288,1140,2250,2288">ax</WORD>
<WORD coords="1214,2285,1269,2235,2285">6&lt;</WORD>
<WORD coords="1298,2267,1335,2236,2277">*</WORD>
<WORD coords="1364,2305,1389,2229,2302">)</WORD>
<WORD coords="1428,2300,1444,2254,2300">;</WORD>
<WORD coords="1477,2307,1657,2233,2285">luego</WORD>
<WORD coords="1715,2287,1770,2234,2287">el</WORD>
<WORD coords="1833,2306,2063,2232,2287">primer</WORD>
<WORD coords="2231,2310,2458,2237,2295">(4.-*)..</WORD>
<WORD coords="2541,2290,2650,2235,2291">166</WORD>
<WORD coords="2901,2294,2947,2257,2294">x</WORD>
<WORD coords="2982,2313,3051,2257,2304">g.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="692,2397,1005,2338,2394">ttúembro</WORD>
<WORD coords="1050,2395,1127,2338,2393">de</WORD>
<WORD coords="1163,2393,1216,2340,2392">la</WORD>
<WORD coords="1253,2394,1300,2345,2394">1.</WORD>
<WORD coords="1334,2371,1369,2342,2383">*</WORD>
<WORD coords="1425,2395,1719,2336,2392">ecuación</WORD>
<WORD coords="1769,2413,2065,2339,2393">podemos</WORD>
<WORD coords="2114,2411,2487,2341,2394">multiplicar</WORD>
<WORD coords="2518,2401,3058,2341,2397">ordenadamente</WORD>
</LINE>
<LINE>
<WORD coords="702,2520,816,2460,2498">por</WORD>
<WORD coords="871,2500,926,2444,2499">el</WORD>
<WORD coords="971,2517,1242,2444,2498">primero</WORD>
<WORD coords="1296,2501,1374,2443,2500">de</WORD>
<WORD coords="1423,2500,1478,2445,2499">la</WORD>
<WORD coords="1529,2504,1590,2451,2501">2.</WORD>
<WORD coords="1616,2477,1652,2447,2489">*</WORD>
<WORD coords="1679,2521,1717,2465,2511">y</WORD>
<WORD coords="1767,2500,1821,2451,2499">3.</WORD>
<WORD coords="1916,2513,1931,2489,2513">,</WORD>
<WORD coords="1960,2520,1994,2464,2511">y</WORD>
<WORD coords="2042,2503,2075,2464,2503">e</WORD>
<WORD coords="2155,2522,2436,2449,2500">segunda</WORD>
<WORD coords="2500,2503,2803,2448,2502">miembro</WORD>
<WORD coords="2839,2521,2948,2467,2502">por</WORD>
<WORD coords="2997,2508,3057,2449,2506">el</WORD>
</LINE>
<LINE>
<WORD coords="694,2627,979,2549,2606">segundo</WORD>
<WORD coords="1010,2606,1089,2548,2605">de</WORD>
<WORD coords="1141,2606,1226,2550,2604">las</WORD>
<WORD coords="1262,2604,1513,2549,2604">mismas</WORD>
<WORD coords="1538,2622,1550,2577,2622">;</WORD>
<WORD coords="1587,2624,1818,2569,2605">porque</WORD>
<WORD coords="1856,2606,1989,2562,2604">esto</WORD>
<WORD coords="2044,2606,2120,2571,2605">no</WORD>
<WORD coords="2160,2606,2225,2571,2604">es</WORD>
<WORD coords="2288,2608,2415,2573,2607">mas</WORD>
<WORD coords="2465,2626,2583,2572,2607">que</WORD>
<WORD coords="2650,2630,3064,2554,2608">multiplicar-</WORD>
</LINE>
<LINE>
<WORD coords="693,2714,789,2654,2712">los</WORD>
<WORD coords="847,2730,955,2670,2710">por</WORD>
<WORD coords="1014,2712,1095,2674,2711">un</WORD>
<WORD coords="1115,2710,1374,2656,2709">mismo</WORD>
<WORD coords="1411,2717,1694,2670,2710">rrtimer^.</WORD>
<WORD coords="1790,2711,1852,2656,2710">Si</WORD>
<WORD coords="1903,2732,2281,2657,2711">ejecutarnos</WORD>
<WORD coords="2339,2713,2517,2656,2712">dicha</WORD>
<WORD coords="2553,2727,3074,2662,2713">multiplicación*</WORD>
</LINE>
<LINE>
<WORD coords="689,2821,1048,2763,2819">tendremos</WORD>
<WORD coords="1093,2819,1126,2770,2823">8</WORD>
<WORD coords="1161,2818,1210,2762,2818">b.</WORD>
<WORD coords="1280,2842,1351,2770,2842">X</WORD>
<WORD coords="1412,2820,1444,2772,2823">5</WORD>
<WORD coords="1472,2840,1515,2775,2840">p</WORD>
<WORD coords="1598,2850,1707,2756,2850">fig</WORD>
<WORD coords="1743,2821,1848,2769,2820">íc.</WORD>
<WORD coords="1896,2821,1991,2791,2824">=</WORD>
<WORD coords="2040,2821,2120,2772,2822">40</WORD>
<WORD coords="2144,2842,2191,2776,2842">p</WORD>
<WORD coords="2278,2844,2350,2768,2844">X</WORD>
<WORD coords="2403,2821,2469,2776,2821">10</WORD>
<WORD coords="2501,2821,2531,2786,2821">c</WORD>
<WORD coords="2538,2824,2550,2809,2825">-</WORD>
<WORD coords="2633,2844,2706,2771,2844">X</WORD>
<WORD coords="2727,2842,2734,2833,2834">.</WORD>
<WORD coords="2766,2823,2802,2777,2823">4</WORD>
<WORD coords="2816,2844,2869,2788,2842">£</WORD>
<WORD coords="2932,2840,2946,2794,2840">i</WORD>
<WORD coords="3015,2849,3060,2786,2849">y</WORD>
</LINE>
<LINE>
<WORD coords="695,2928,750,2870,2927">si</WORD>
<WORD coords="807,2925,1147,2868,2923">dividimos</WORD>
<WORD coords="1181,2945,1500,2870,2924">elprimer</WORD>
<WORD coords="1525,2923,1531,2909,2927">,</WORD>
<WORD coords="1553,2928,1857,2872,2926">miembro</WORD>
<WORD coords="1919,2927,1991,2879,2926">de</WORD>
<WORD coords="2035,2929,2165,2886,2927">esta</WORD>
<WORD coords="2224,2928,2513,2875,2926">ecuación</WORD>
<WORD coords="2572,2948,2682,2893,2927">por</WORD>
<WORD coords="2727,2929,2780,2878,2928">ei</WORD>
<WORD coords="2838,2950,3065,2875,2930">prime-</WORD>
</LINE>
<LINE>
<WORD coords="692,3034,766,2993,3032">ro</WORD>
<WORD coords="817,3032,894,2977,3031">de</WORD>
<WORD coords="955,3031,1011,2977,3031">la</WORD>
<WORD coords="1055,3033,1114,2981,3032">4.</WORD>
<WORD coords="1140,3017,1177,2977,3015">65</WORD>
<WORD coords="1203,3052,1242,2995,3039">y</WORD>
<WORD coords="1288,3032,1344,2978,3031">el</WORD>
<WORD coords="1403,3053,1685,2977,3031">segundo</WORD>
<WORD coords="1725,3050,1833,2996,3031">por</WORD>
<WORD coords="1878,3034,1933,2979,3033">el</WORD>
<WORD coords="1992,3055,2270,2979,3032">seguado</WORD>
<WORD coords="2307,3057,2420,2985,3032">(se</WORD>
<WORD coords="2459,3033,2597,2979,3032">debe</WORD>
<WORD coords="2621,3055,2908,2981,3034">guardar</WORD>
<WORD coords="2945,3041,3072,2993,3038">este</WORD>
</LINE>
<LINE>
<WORD coords="698,3140,886,3082,3135">érden</WORD>
<WORD coords="928,3143,945,3120,3143">,</WORD>
<WORD coords="1024,3162,1259,3093,3136">porque</WORD>
<WORD coords="1307,3138,1372,3102,3138">se</WORD>
<WORD coords="1452,3138,1621,3092,3136">trata</WORD>
<WORD coords="1679,3138,1750,3082,3137">de</WORD>
<WORD coords="1816,3138,1921,3101,3137">ver</WORD>
<WORD coords="1974,3138,2229,3094,3136">cuantas</WORD>
<WORD coords="2283,3139,2449,3102,3138">veces</WORD>
<WORD coords="2505,3140,2597,3086,3140">las</WORD>
<WORD coords="2649,3141,2865,3103,3139">causas</WORD>
<WORD coords="2923,3144,3062,3106,3143">con*</WORD>
</LINE>
<LINE>
<WORD coords="704,3244,905,3191,3242">tienen</WORD>
<WORD coords="953,3243,994,3207,3243">a</WORD>
<WORD coords="1035,3243,1124,3188,3242">las</WORD>
<WORD coords="1168,3244,1385,3206,3243">causas</WORD>
<WORD coords="1426,3264,1466,3209,3254">y</WORD>
<WORD coords="1512,3245,1597,3186,3243">los</WORD>
<WORD coords="1630,3267,1848,3187,3246">efectos</WORD>
<WORD coords="1901,3243,1936,3209,3243">a</WORD>
<WORD coords="1987,3243,2072,3190,3241">los</WORD>
<WORD coords="2107,3266,2323,3186,3247">afectos</WORD>
<WORD coords="2330,3261,2377,3190,3260">J</WORD>
<WORD coords="2409,3260,2425,3235,3252">,</WORD>
<WORD coords="2454,3244,2533,3210,3243">no</WORD>
<WORD coords="2594,3246,2658,3209,3245">se</WORD>
<WORD coords="2716,3246,2968,3192,3244">alterará</WORD>
<WORD coords="3015,3251,3073,3195,3249">la</WORD>
</LINE>
<LINE>
<WORD coords="709,3353,959,3294,3350">écuacio</WORD>
<WORD coords="989,3369,1053,3312,3351">n,</WORD>
<WORD coords="1081,3373,1116,3313,3363">y</WORD>
<WORD coords="1161,3352,1513,3297,3350">tendremos</WORD>
<WORD coords="1547,3351,1636,3294,3350">Bb\</WORD>
<WORD coords="1693,3365,1761,3299,3365">X</WORD>
<WORD coords="1816,3370,1907,3304,3358">5p.</WORD>
<WORD coords="1961,3367,2030,3301,3367">X</WORD>
<WORD coords="2082,3351,2150,3305,3351">2c</WORD>
<WORD coords="2204,3348,2292,3323,3348">s»</WORD>
<WORD coords="2324,3370,2445,3303,3359">40p</WORD>
<WORD coords="2501,3368,2570,3297,3368">X</WORD>
<WORD coords="2628,3351,2734,3304,3351">10c</WORD>
<WORD coords="2814,3373,2888,3300,3373">X</WORD>
<WORD coords="2954,3363,3073,3307,3346">i^.;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1814,3507,1942,3449,3505">166.</WORD>
<WORD coords="2710,3524,2818,3469,3507">xg.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="712,3609,863,3548,3586">pero</WORD>
<WORD coords="917,3589,971,3531,3588">la</WORD>
<WORD coords="1028,3612,1326,3533,3590">igualdad</WORD>
<WORD coords="1396,3591,1474,3533,3590">de</WORD>
<WORD coords="1529,3589,1870,3532,3588">divisiones</WORD>
<WORD coords="1949,3588,2270,3531,3586">indicadas</WORD>
<WORD coords="2335,3588,2401,3550,3587">es</WORD>
<WORD coords="2478,3587,2597,3548,3585">una</WORD>
<WORD coords="2681,3608,3081,3532,3585">proporción,</WORD>
</LINE>
<LINE>
<WORD coords="717,3716,904,3637,3695">luego</WORD>
<WORD coords="955,3697,1082,3653,3696">esta</WORD>
<WORD coords="1137,3698,1309,3662,3695">ecuar</WORD>
<WORD coords="1329,3695,1362,3644,3691">i&lt;</WORD>
<WORD coords="1392,3696,1429,3661,3696">n</WORD>
<WORD coords="1478,3697,1609,3660,3695">sera</WORD>
<WORD coords="1666,3695,1719,3642,3694">la</WORD>
<WORD coords="1781,3716,2087,3640,3694">siguiente</WORD>
<WORD coords="2138,3709,2534,3639,3690">proporción:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="795,3803,889,3747,3802">bb.</WORD>
<WORD coords="946,3822,1016,3755,3822">X</WORD>
<WORD coords="1087,3821,1184,3756,3811">5p.</WORD>
<WORD coords="1273,3823,1343,3749,3823">X</WORD>
<WORD coords="1402,3803,1492,3758,3803">2c.</WORD>
<WORD coords="1550,3802,1566,3766,3804">:</WORD>
<WORD coords="1631,3804,1759,3746,3802">166.</WORD>
<WORD coords="1839,3807,1879,3764,3805">;:</WORD>
<WORD coords="1954,3821,2094,3752,3806">40/?.</WORD>
<WORD coords="2158,3822,2232,3750,3822">X</WORD>
<WORD coords="2315,3798,2425,3749,3797">10c</WORD>
<WORD coords="2483,3819,2573,3746,3819">X</WORD>
<WORD coords="2815,3797,2830,3761,3797">:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="710,3915,747,3871,3913">^</WORD>
<WORD coords="804,3909,1155,3853,3906">alternando</WORD>
<WORD coords="1188,3921,1204,3896,3921">y</WORD>
<WORD coords="1268,3909,1359,3856,3909">bb.</WORD>
<WORD coords="1414,3932,1488,3858,3932">X</WORD>
<WORD coords="1560,3908,1593,3861,3908">5</WORD>
<WORD coords="1594,3929,1657,3862,3929">A</WORD>
<WORD coords="1738,3933,1809,3855,3933">X</WORD>
<WORD coords="1867,3909,1954,3860,3909">2c.</WORD>
<WORD coords="1989,3910,2005,3875,3911">:</WORD>
<WORD coords="2043,3927,2181,3846,3914">4Óp.</WORD>
<WORD coords="2231,3925,2299,3857,3925">X</WORD>
<WORD coords="2375,3906,2480,3856,3904">10c</WORD>
<WORD coords="2483,3906,2496,3891,3909">-</WORD>
<WORD coords="2548,3919,2619,3865,3919">K</WORD>
<WORD coords="2687,3928,2844,3859,3912">4^::</WORD>
<WORD coords="2891,3908,3001,3851,3908">166</WORD>
<WORD coords="3050,3896,3075,3880,3896">-</WORD>
</LINE>
<LINE>
<WORD coords="717,4041,852,3978,4019">9C.g.</WORD>
<WORD coords="905,4016,996,3985,4015">a=</WORD>
<WORD coords="1046,4015,1163,3966,4014">320</WORD>
<WORD coords="1209,4035,1500,3962,4014">gallinas.</WORD>
<WORD coords="1578,4032,1606,3968,4028">(</WORD>
<WORD coords="1629,4016,1678,3962,4016">\</WORD>
<WORD coords="1690,4033,1736,3976,4025">j.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="963,4128,1164,4073,4125">Como</WORD>
<WORD coords="1203,4123,1263,4065,4122">la</WORD>
<WORD coords="1315,4145,1580,4084,4123">primera</WORD>
<WORD coords="1621,4125,1816,4083,4124">razón</WORD>
<WORD coords="1858,4128,1938,4066,4127">de</WORD>
<WORD coords="1986,4127,2040,4066,4125">la</WORD>
<WORD coords="2100,4126,2317,4063,4122">ultima</WORD>
<WORD coords="2374,4142,2742,4061,4119">proporción</WORD>
<WORD coords="2803,4119,2869,4079,4118">es</WORD>
<WORD coords="2898,4122,3069,4076,4115">come</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0148.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0149.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0149.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1306,622,1522,530,621">139</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="241,761,459,694,739">puesta</WORD>
<WORD coords="520,763,702,686,748">(159)</WORD>
<WORD coords="739,757,755,730,749">,</WORD>
<WORD coords="816,741,873,684,741">Ja</WORD>
<WORD coords="936,756,1235,680,740">podemos</WORD>
<WORD coords="1312,761,1763,690,741">descomponer</WORD>
<WORD coords="1821,743,1895,705,742">en</WORD>
<WORD coords="1949,743,2052,705,741">sus</WORD>
<WORD coords="2128,746,2389,705,743">razones</WORD>
<WORD coords="2444,746,2616,706,744">com-</WORD>
</LINE>
<LINE>
<WORD coords="253,875,545,807,848">ponentes</WORD>
<WORD coords="581,864,596,839,856">,</WORD>
<WORD coords="651,848,726,794,847">de</WORD>
<WORD coords="788,849,919,806,848">e-te</WORD>
<WORD coords="980,856,1192,793,847">modo;</WORD>
</LINE>
<LINE>
<WORD coords="494,958,528,910,957">8</WORD>
<WORD coords="577,957,609,901,957">b</WORD>
<WORD coords="681,957,694,922,957">:</WORD>
<WORD coords="741,969,824,909,964">49</WORD>
<WORD coords="863,977,923,914,966">p.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="499,1041,533,993,1041">5</WORD>
<WORD coords="578,1061,638,994,1045">p.</WORD>
<WORD coords="694,1039,707,1004,1039">:</WORD>
<WORD coords="760,1039,833,983,1038">IO</WORD>
<WORD coords="875,1039,927,1001,1037">c.</WORD>
<WORD coords="1149,1038,1186,1002,1038">::</WORD>
<WORD coords="1243,1037,1312,984,1037">16</WORD>
<WORD coords="1344,1039,1393,980,1039">b-</WORD>
<WORD coords="1455,1041,1469,1004,1041">x</WORD>
<WORD coords="1526,1040,1573,1002,1040">x</WORD>
<WORD coords="1593,1058,1634,1001,1049">g</WORD>
<WORD coords="1723,1041,1814,1002,1039">=ss</WORD>
<WORD coords="1874,1043,1991,993,1042">320</WORD>
<WORD coords="2041,1060,2338,983,1038">gal&apos;inas,</WORD>
</LINE>
<LINE>
<WORD coords="500,1123,535,1078,1123">2</WORD>
<WORD coords="581,1124,631,1086,1122">c\</WORD>
<WORD coords="681,1120,693,1086,1120">:</WORD>
<WORD coords="742,1119,782,1070,1119">4</WORD>
<WORD coords="819,1141,889,1085,1124">£*.</WORD>
<WORD coords="1018,1138,1067,1064,1138">J</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="495,1227,588,1171,1225">De</WORD>
<WORD coords="645,1227,779,1178,1226">este</WORD>
<WORD coords="843,1246,1081,1171,1226">planteo</WORD>
<WORD coords="1127,1244,1145,1215,1235">,</WORD>
<WORD coords="1215,1227,1325,1191,1226">nos</WORD>
<WORD coords="1384,1227,1735,1172,1226">valdremos</WORD>
<WORD coords="1811,1249,1953,1192,1227">para</WORD>
<WORD coords="2002,1232,2260,1173,1228">deducir</WORD>
<WORD coords="2320,1228,2372,1173,1228">la</WORD>
<WORD coords="2442,1250,2617,1173,1228">regJa</WORD>
</LINE>
<LINE>
<WORD coords="245,1355,475,1274,1333">siguier</WORD>
<WORD coords="495,1335,553,1290,1334">te</WORD>
<WORD coords="594,1338,612,1302,1338">:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="499,1441,661,1386,1438">Pata</WORD>
<WORD coords="702,1463,992,1386,1440">plantear</WORD>
<WORD coords="1038,1443,1158,1405,1442">una</WORD>
<WORD coords="1208,1463,1387,1382,1439">regla</WORD>
<WORD coords="1433,1462,1721,1386,1440">conjunta</WORD>
<WORD coords="1760,1455,1776,1431,1448">,</WORD>
<WORD coords="1812,1441,1874,1405,1441">*e</WORD>
<WORD coords="1935,1441,2219,1384,1437">e-criben</WORD>
<WORD coords="2278,1441,2367,1385,1438">los</WORD>
<WORD coords="2429,1463,2615,1407,1444">g^ne-</WORD>
</LINE>
<LINE>
<WORD coords="239,1546,423,1504,1544">neros</WORD>
<WORD coords="470,1547,799,1489,1544">formando</WORD>
<WORD coords="868,1549,976,1511,1547">raz</WORD>
<WORD coords="986,1549,1059,1496,1549">uñ</WORD>
<WORD coords="1119,1549,1233,1511,1548">con</WORD>
<WORD coords="1284,1549,1390,1514,1548">sus</WORD>
<WORD coords="1437,1548,1673,1494,1546">valores</WORD>
<WORD coords="1708,1560,1725,1537,1554">,</WORD>
<WORD coords="1782,1548,1856,1495,1547">de</WORD>
<WORD coords="1922,1547,2104,1495,1545">modo</WORD>
<WORD coords="2159,1563,2277,1511,1547">que</WORD>
<WORD coords="2328,1549,2380,1496,1548">el</WORD>
<WORD coords="2439,1549,2506,1517,1548">ar.</WORD>
<WORD coords="2520,1550,2616,1509,1549">te-</WORD>
</LINE>
<LINE>
<WORD coords="224,1651,494,1593,1648">ndente</WORD>
<WORD coords="549,1651,625,1596,1651">de</WORD>
<WORD coords="674,1652,727,1605,1652">la</WORD>
<WORD coords="786,1653,821,1605,1653">2</WORD>
<WORD coords="873,1631,909,1601,1631">55</WORD>
<WORD coords="976,1655,1165,1617,1653">razón</WORD>
<WORD coords="1228,1653,1327,1619,1652">sea</WORD>
<WORD coords="1384,1654,1423,1598,1654">h</WORD>
<WORD coords="1474,1669,1773,1617,1650">mogeneo</WORD>
<WORD coords="1828,1652,1938,1616,1649">con</WORD>
<WORD coords="1999,1650,2052,1599,1650">el</WORD>
<WORD coords="2099,1657,2500,1612,1651">consecuente</WORD>
<WORD coords="2537,1658,2616,1602,1657">de</WORD>
</LINE>
<LINE>
<WORD coords="242,1758,297,1700,1758">íá</WORD>
<WORD coords="358,1761,409,1712,1761">l.</WORD>
<WORD coords="435,1739,471,1707,1738">50</WORD>
<WORD coords="524,1768,548,1726,1763">;</WORD>
<WORD coords="606,1760,661,1707,1759">el</WORD>
<WORD coords="724,1761,1122,1707,1760">antecedente</WORD>
<WORD coords="1172,1760,1247,1703,1759">de</WORD>
<WORD coords="1311,1760,1362,1708,1759">la</WORD>
<WORD coords="1426,1758,1545,1706,1752">3.^</WORD>
<WORD coords="1597,1759,1697,1723,1758">sea</WORD>
<WORD coords="1750,1777,2142,1702,1755">homogéneo</WORD>
<WORD coords="2192,1757,2304,1722,1755">con</WORD>
<WORD coords="2362,1758,2412,1711,1757">ei</WORD>
<WORD coords="2462,1759,2604,1726,1756">con-</WORD>
</LINE>
<LINE>
<WORD coords="235,1870,526,1827,1866">secuente</WORD>
<WORD coords="574,1870,737,1814,1868">déla</WORD>
<WORD coords="795,1869,830,1821,1868">2</WORD>
<WORD coords="879,1851,912,1820,1859">*</WORD>
<WORD coords="940,1888,979,1834,1877">y</WORD>
<WORD coords="1013,1865,1097,1812,1864">asi</WORD>
<WORD coords="1159,1868,1232,1831,1867">en</WORD>
<WORD coords="1280,1878,1612,1811,1865">adelante,</WORD>
<WORD coords="1658,1865,2001,1808,1862">seoarandj</WORD>
<WORD coords="2046,1862,2158,1827,1861">con</WORD>
<WORD coords="2193,1864,2268,1830,1863">un</WORD>
<WORD coords="2319,1868,2605,1808,1865">corchete</WORD>
</LINE>
<LINE>
<WORD coords="239,1981,418,1925,1979">todas</WORD>
<WORD coords="472,1979,635,1934,1977">estas</WORD>
<WORD coords="688,1993,993,1938,1975">rizones;</WORD>
<WORD coords="1052,1990,1318,1919,1973">después</WORD>
<WORD coords="1396,1974,1459,1939,1973">se</WORD>
<WORD coords="1510,1976,1789,1918,1971">escriben</WORD>
<WORD coords="1855,1969,1944,1919,1967">los</WORD>
<WORD coords="2001,1969,2215,1923,1967">cuto</WORD>
<WORD coords="2277,1985,2374,1935,1969">pin</WORD>
<WORD coords="2401,1971,2425,1929,1971">t</WORD>
<WORD coords="2470,1968,2495,1937,1968">s</WORD>
<WORD coords="2570,1991,2610,1933,1991">y</WORD>
</LINE>
<LINE>
<WORD coords="238,2107,429,2032,2088">luego</WORD>
<WORD coords="496,2085,551,2032,2085">la</WORD>
<WORD coords="605,2087,797,2048,2086">razón</WORD>
<WORD coords="842,2100,1002,2030,2084">simp</WORD>
<WORD coords="1034,2081,1066,2046,2081">e</WORD>
<WORD coords="1103,2094,1118,2071,2094">,</WORD>
<WORD coords="1170,2099,1330,2043,2078">cuyo</WORD>
<WORD coords="1383,2079,1781,2025,2078">antecedente</WORD>
<WORD coords="1852,2078,1888,2024,2078">d</WORD>
<WORD coords="1932,2079,1971,2021,2079">b</WORD>
<WORD coords="2064,2073,2160,2036,2071">ser</WORD>
<WORD coords="2218,2075,2358,2020,2073">hon</WORD>
<WORD coords="2411,2097,2449,2042,2088">g</WORD>
<WORD coords="2495,2079,2609,2016,2077">nféfe</WORD>
</LINE>
<LINE>
<WORD coords="237,2197,352,2158,2195">con</WORD>
<WORD coords="400,2195,454,2139,2194">el</WORD>
<WORD coords="486,2194,888,2138,2192">antecedente</WORD>
<WORD coords="924,2191,998,2139,2191">de</WORD>
<WORD coords="1033,2191,1087,2137,2191">la</WORD>
<WORD coords="1144,2192,1166,2145,2190">1</WORD>
<WORD coords="1223,2166,1259,2134,2166">8</WORD>
<WORD coords="1291,2191,1478,2155,2189">razón</WORD>
<WORD coords="1542,2204,1950,2145,2186">componente</WORD>
<WORD coords="1988,2197,2002,2178,2197">,</WORD>
<WORD coords="2037,2207,2073,2152,2198">y</WORD>
<WORD coords="2133,2184,2204,2150,2184">su</WORD>
<WORD coords="2241,2193,2459,2147,2185">cons.ee</WORD>
<WORD coords="2468,2188,2522,2148,2184">u&lt;</WORD>
<WORD coords="2551,2183,2617,2147,2181">li-</WORD>
</LINE>
<LINE>
<WORD coords="237,2305,298,2256,2304">te</WORD>
<WORD coords="357,2322,747,2246,2300">homogéneo</WORD>
<WORD coords="803,2301,916,2265,2300">con</WORD>
<WORD coords="972,2299,1028,2245,2298">el</WORD>
<WORD coords="1106,2299,1523,2254,2296">consecuente</WORD>
<WORD coords="1583,2295,1660,2241,2293">de</WORD>
<WORD coords="1737,2294,1784,2241,2293">la</WORD>
<WORD coords="1843,2294,2058,2239,2291">ultima</WORD>
<WORD coords="2113,2290,2295,2254,2288">razón</WORD>
<WORD coords="2358,2287,2469,2252,2286">C&quot;n</WORD>
<WORD coords="2503,2307,2614,2254,2288">po-</WORD>
</LINE>
<LINE>
<WORD coords="237,2413,440,2366,2411">Dente.</WORD>
<WORD coords="532,2409,921,2351,2407">Finalmente</WORD>
<WORD coords="959,2422,975,2396,2413">,</WORD>
<WORD coords="1044,2405,1109,2370,2405">se</WORD>
<WORD coords="1171,2406,1391,2348,2403">forma-</WORD>
<WORD coords="1422,2403,1541,2367,2402">una</WORD>
<WORD coords="1602,2400,1731,2346,2399">sola</WORD>
<WORD coords="1808,2416,2177,2341,2396">proporción</WORD>
<WORD coords="2211,2407,2228,2384,2406">,</WORD>
<WORD coords="2304,2405,2612,2340,2391">poniendo</WORD>
</LINE>
<LINE>
<WORD coords="241,2535,354,2479,2515">por</WORD>
<WORD coords="404,2520,451,2469,2520">I.</WORD>
<WORD coords="482,2508,520,2476,2508">»</WORD>
<WORD coords="575,2515,756,2478,2514">razón</WORD>
<WORD coords="806,2514,863,2458,2513">el</WORD>
<WORD coords="912,2534,1215,2459,2513">producto</WORD>
<WORD coords="1264,2513,1338,2457,2512">de</WORD>
<WORD coords="1405,2510,1495,2455,2509">los</WORD>
<WORD coords="1555,2509,1991,2450,2505">antecedentes</WORD>
<WORD coords="2067,2517,2438,2444,2499">comparado</WORD>
<WORD coords="2499,2500,2616,2461,2497">con</WORD>
</LINE>
<LINE>
<WORD coords="236,2624,293,2570,2623">el</WORD>
<WORD coords="352,2641,651,2568,2621">producto</WORD>
<WORD coords="704,2622,781,2566,2621">de</WORD>
<WORD coords="821,2621,911,2566,2621">los</WORD>
<WORD coords="993,2622,1434,2576,2618">consecuentes</WORD>
<WORD coords="1480,2616,1556,2561,2615">de</WORD>
<WORD coords="1601,2614,1689,2561,2613">las</WORD>
<WORD coords="1727,2614,1986,2574,2611">razones</WORD>
<WORD coords="2044,2624,2480,2561,2605">componentes</WORD>
<WORD coords="2512,2626,2532,2591,2621">,</WORD>
<WORD coords="2564,2617,2604,2566,2617">y</WORD>
</LINE>
<LINE>
<WORD coords="239,2752,351,2692,2729">por</WORD>
<WORD coords="406,2735,463,2683,2729">2,</WORD>
<WORD coords="492,2711,529,2679,2711">ñ</WORD>
<WORD coords="603,2728,658,2674,2728">la</WORD>
<WORD coords="706,2729,890,2691,2728">razón</WORD>
<WORD coords="936,2745,1156,2671,2725">simple</WORD>
<WORD coords="1192,2741,1208,2714,2741">,</WORD>
<WORD coords="1253,2746,1445,2687,2723">según</WORD>
<WORD coords="1494,2721,1555,2687,2720">se</WORD>
<WORD coords="1614,2723,1685,2685,2722">ve</WORD>
<WORD coords="1730,2719,1806,2682,2719">en</WORD>
<WORD coords="1839,2721,1918,2667,2719">Ja</WORD>
<WORD coords="1968,2726,2232,2674,2711">pro;jorc</WORD>
<WORD coords="2282,2706,2297,2678,2714">&gt;</WORD>
<WORD coords="2320,2710,2338,2678,2710">i</WORD>
<WORD coords="2409,2746,2432,2674,2731">^</WORD>
<WORD coords="2455,2725,2571,2658,2714">V).</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,2836,749,2779,2835">Escolto.</WORD>
<WORD coords="850,2834,944,2778,2834">En</WORD>
<WORD coords="988,2834,1043,2779,2833">el</WORD>
<WORD coords="1103,2850,1347,2778,2832">planteo</WORD>
<WORD coords="1405,2854,1535,2774,2831">(A)</WORD>
<WORD coords="1592,2828,1655,2791,2828">se</WORD>
<WORD coords="1710,2838,2039,2785,2823">comparan</WORD>
<WORD coords="2086,2819,2254,2773,2816">entre</WORD>
<WORD coords="2307,2816,2375,2778,2816">si-</WORD>
<WORD coords="2419,2816,2618,2757,2814">canti-</WORD>
</LINE>
<LINE>
<WORD coords="241,2944,436,2885,2942">dades</WORD>
<WORD coords="494,2961,938,2886,2939">heterogéneas</WORD>
<WORD coords="966,2954,994,2916,2946">y</WORD>
<WORD coords="1020,2939,1197,2902,2938">como</WORD>
<WORD coords="1245,2940,1525,2882,2937">borricos</WORD>
<WORD coords="1576,2936,1687,2898,2935">con</WORD>
<WORD coords="1736,2951,1914,2895,2931">pesos</WORD>
<WORD coords="1950,2943,1968,2916,2937">,</WORD>
<WORD coords="1996,2927,2107,2889,2925">con</WORD>
<WORD coords="2150,2924,2435,2865,2920">corderos</WORD>
<WORD coords="2461,2938,2483,2887,2935">;</WORD>
<WORD coords="2517,2920,2617,2883,2919">es-</WORD>
</LINE>
<LINE>
<WORD coords="244,3054,310,3007,3053">to</WORD>
<WORD coords="368,3053,445,3014,3051">no</WORD>
<WORD coords="504,3053,834,2995,3049">embaraza</WORD>
<WORD coords="894,3048,949,2992,3047">el</WORD>
<WORD coords="1000,3047,1243,2989,3044">cálculo</WORD>
<WORD coords="1274,3060,1311,3033,3060">v</WORD>
<WORD coords="1335,3062,1484,3007,3042">pues</WORD>
<WORD coords="1546,3041,1634,2987,3040">los</WORD>
<WORD coords="1676,3040,1969,2999,3035">números</WORD>
<WORD coords="2017,3031,2096,2996,3030">no</WORD>
<WORD coords="2152,3030,2242,2976,3028">los</WORD>
<WORD coords="2298,3027,2614,2984,3024">tomamos</WORD>
</LINE>
<LINE>
<WORD coords="247,3162,427,3124,3160">como</WORD>
<WORD coords="474,3171,846,3113,3158">concretos,</WORD>
<WORD coords="889,3157,1023,3101,3156">sino</WORD>
<WORD coords="1080,3155,1258,3118,3154">como</WORD>
<WORD coords="1302,3152,1642,3096,3148">abstractos</WORD>
<WORD coords="1679,3161,1694,3134,3161">,</WORD>
<WORD coords="1726,3164,1764,3107,3161">y</WORD>
<WORD coords="1817,3159,2062,3101,3140">aunque</WORD>
<WORD coords="2110,3136,2309,3082,3134">Hevea</WORD>
<WORD coords="2353,3133,2409,3078,3133">la</WORD>
<WORD coords="2466,3131,2625,3075,3130">letra</WORD>
</LINE>
<LINE>
<WORD coords="250,3270,462,3212,3267">inicial</WORD>
<WORD coords="521,3266,596,3210,3265">de</WORD>
<WORD coords="656,3266,728,3230,3265">su</WORD>
<WORD coords="795,3281,1036,3207,3262">especie</WORD>
<WORD coords="1069,3275,1085,3249,3268">,</WORD>
<WORD coords="1144,3261,1207,3224,3260">es</WORD>
<WORD coords="1269,3259,1405,3212,3257">esto</WORD>
<WORD coords="1456,3275,1564,3216,3253">por</WORD>
<WORD coords="1619,3250,1916,3192,3248">claridad.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="412,3380,428,3355,3377">,</WORD>
<WORD coords="496,3374,796,3318,3372">Cuestión</WORD>
<WORD coords="840,3372,959,3312,3363">%«</WORD>
<WORD coords="1066,3368,1142,3312,3367">Se</WORD>
<WORD coords="1185,3366,1325,3309,3365">sabe</WORD>
<WORD coords="1394,3386,1506,3326,3362">que</WORD>
<WORD coords="1561,3359,1640,3309,3357">50</WORD>
<WORD coords="1693,3354,1910,3308,3353">metros</WORD>
<WORD coords="1944,3374,2276,3293,3349">franceses</WORD>
<WORD coords="2343,3369,2588,3287,3342">equiva-</WORD>
</LINE>
<LINE>
<WORD coords="242,3485,339,3425,3482">len</WORD>
<WORD coords="396,3481,434,3446,3481">a</WORD>
<WORD coords="495,3482,610,3428,3481">179</WORD>
<WORD coords="644,3501,781,3426,3478">pies</WORD>
<WORD coords="839,3500,1203,3421,3475">españoles,</WORD>
<WORD coords="1259,3492,1298,3437,3492">y</WORD>
<WORD coords="1355,3494,1467,3433,3468">que</WORD>
<WORD coords="1524,3465,1641,3412,3463">699</WORD>
<WORD coords="1641,3449,1665,3394,3456">í</WORD>
<WORD coords="1683,3484,1822,3410,3459">pies</WORD>
<WORD coords="1868,3478,2186,3398,3453">españoles</WORD>
<WORD coords="2232,3474,2619,3395,3447">equivalen*</WORD>
</LINE>
<LINE>
<WORD coords="253,3590,372,3540,3588">100</WORD>
<WORD coords="444,3587,640,3543,3585">tóelas</WORD>
<WORD coords="715,3607,1006,3539,3584">antiguas</WORD>
<WORD coords="1042,3608,1382,3523,3583">francesas</WORD>
<WORD coords="1416,3596,1455,3544,3592">\,</WORD>
<WORD coords="1517,3597,1539,3559,3584">¿</WORD>
<WORD coords="1573,3572,1693,3521,3570">380</WORD>
<WORD coords="1762,3568,1985,3519,3566">metros</WORD>
<WORD coords="2031,3564,2067,3527,3564">a</WORD>
<WORD coords="2116,3562,2369,3510,3557">cuantas</WORD>
<WORD coords="2417,3555,2618,3508,3553">toesas</WORD>
</LINE>
<LINE>
<WORD coords="219,3721,565,3637,3698">francesas</WORD>
<WORD coords="622,3718,1023,3637,3692">equivaldrán</WORD>
<WORD coords="1047,3692,1067,3636,3692">?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="828,3799,909,3751,3797">50</WORD>
<WORD coords="978,3796,1049,3761,3796">m.</WORD>
<WORD coords="1104,3802,1117,3763,3799">:</WORD>
<WORD coords="1171,3796,1287,3741,3795">179</WORD>
<WORD coords="1323,3812,1387,3747,3805">p.</WORD>
<WORD coords="1660,3830,1780,3776,3827">38Q</WORD>
<WORD coords="1822,3824,1897,3786,3824">w#</WORD>
<WORD coords="1949,3800,1965,3785,3800">.</WORD>
<WORD coords="2016,3820,2062,3781,3820">x</WORD>
<WORD coords="2104,3839,2155,3765,3839">f:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="837,3880,955,3829,3879">699</WORD>
<WORD coords="998,3901,1062,3835,3887">p.</WORD>
<WORD coords="1119,3882,1134,3848,3880">;</WORD>
<WORD coords="1185,3878,1301,3829,3877">100</WORD>
<WORD coords="1348,3874,1387,3829,3874">t.</WORD>
<WORD coords="1474,3887,1512,3827,3887">r</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="497,4002,787,3933,3990">Después</WORD>
<WORD coords="841,3988,917,3935,3987">de</WORD>
<WORD coords="985,3986,1174,3929,3983">heber</WORD>
<WORD coords="1250,3980,1567,3918,3977">ordenado</WORD>
<WORD coords="1615,3974,1700,3921,3972">bs</WORD>
<WORD coords="1762,3970,2027,3932,3968">razones</WORD>
<WORD coords="2073,3983,2092,3918,3981">¿</WORD>
<WORD coords="2137,3979,2299,3905,3957">hago</WORD>
<WORD coords="2354,3953,2408,3901,3953">la</WORD>
<WORD coords="2470,3970,2610,3916,3946">pro.</WORD>
</LINE>
<LINE>
<WORD coords="238,4115,488,4043,4095">porción</WORD>
<WORD coords="550,4118,857,4040,4096">siguiente</WORD>
<WORD coords="919,4094,933,4057,4093">:</WORD>
<WORD coords="1008,4092,1087,4043,4092">50</WORD>
<WORD coords="1131,4112,1196,4041,4101">^</WORD>
<WORD coords="1253,4090,1374,4035,4087">699</WORD>
<WORD coords="1424,4087,1438,4051,4087">:</WORD>
<WORD coords="1491,4087,1604,4033,4085">179</WORD>
<WORD coords="1665,4101,1737,4028,4101">X</WORD>
<WORD coords="1815,4081,1928,4031,4082">100</WORD>
<WORD coords="1991,4079,2029,4044,4080">:.</WORD>
<WORD coords="2097,4073,2215,4022,4077">380</WORD>
<WORD coords="2273,4070,2287,4035,4078">:</WORD>
<WORD coords="2345,4065,2387,4028,4065">x</WORD>
<WORD coords="2421,4064,2457,4018,4064">t.</WORD>
<WORD coords="2484,4064,2489,4056,0">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="476,4202,512,4151,4203">6</WORD>
<WORD coords="578,4205,689,4147,4203">&amp;c.</WORD>
<WORD coords="751,4204,969,4158,4202">to^üs.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0149.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0150.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0150.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1688,549,1910,456,547">140</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1249,663,1570,600,662">REGLA</WORD>
<WORD coords="1621,665,1744,604,664">DS</WORD>
<WORD coords="1808,678,2355,609,670">COMPAÑIA.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="721,834,857,780,836">183.</WORD>
<WORD coords="946,857,1148,777,835">Regla</WORD>
<WORD coords="1195,839,1266,781,838">de</WORD>
<WORD coords="1318,862,1642,795,841">compama</WORD>
<WORD coords="1684,847,1746,807,846">es</WORD>
<WORD coords="1805,848,1865,790,848">¡a</WORD>
<WORD coords="1918,872,2034,811,851">que</WORD>
<WORD coords="2097,854,2330,793,850">enseña</WORD>
<WORD coords="2397,855,2437,815,855">a</WORD>
<WORD coords="2486,862,2866,796,858">determinar</WORD>
<WORD coords="2918,865,2987,804,864">la</WORD>
</LINE>
<LINE>
<WORD coords="603,958,797,889,936">parte</WORD>
<WORD coords="848,964,961,903,939">que</WORD>
<WORD coords="1003,965,1409,889,943">corresponde</WORD>
<WORD coords="1451,948,1523,893,947">de</WORD>
<WORD coords="1568,950,1624,892,948">la</WORD>
<WORD coords="1675,971,1994,900,953">ganancia</WORD>
<WORD coords="2045,959,2075,918,959">o</WORD>
<WORD coords="2126,979,2388,900,957">perdida</WORD>
<WORD coords="2440,961,2479,922,961">a</WORD>
<WORD coords="2533,967,2684,908,965">cada</WORD>
<WORD coords="2745,968,2863,928,967">uno</WORD>
<WORD coords="2907,969,2983,911,969">de</WORD>
</LINE>
<LINE>
<WORD coords="614,1045,859,989,1043">muchos</WORD>
<WORD coords="906,1069,1300,1002,1048">companeros</WORD>
<WORD coords="1334,1069,1350,1039,1069">,</WORD>
<WORD coords="1378,1081,1515,1015,1055">que^</WORD>
<WORD coords="1551,1057,1673,1002,1056">han</WORD>
<WORD coords="1719,1081,1938,1014,1060">puesto</WORD>
<WORD coords="1993,1063,2066,1025,1062">su</WORD>
<WORD coords="2107,1067,2332,1010,1065">caudal</WORD>
<WORD coords="2384,1070,2455,1031,1069">en</WORD>
<WORD coords="2502,1071,2582,1031,1070">un</WORD>
<WORD coords="2593,1092,2793,1012,1076">fondo</WORD>
<WORD coords="2820,1087,2837,1058,1080">,</WORD>
<WORD coords="2870,1073,2982,1033,1072">con</WORD>
</LINE>
<LINE>
<WORD coords="609,1171,980,1097,1148">proporción</WORD>
<WORD coords="1026,1156,1068,1118,1156">a</WORD>
<WORD coords="1121,1157,1179,1100,1156">la</WORD>
<WORD coords="1220,1180,1443,1112,1160">puesta</WORD>
<WORD coords="1498,1164,1570,1107,1163">de</WORD>
<WORD coords="1625,1166,1774,1108,1165">cada</WORD>
<WORD coords="1831,1169,1973,1128,1167">uno.</WORD>
<WORD coords="2065,1171,2152,1114,1170">Es</WORD>
<WORD coords="2205,1173,2282,1115,1172">de</WORD>
<WORD coords="2342,1177,2454,1118,1175">dos</WORD>
<WORD coords="2503,1177,2782,1139,1176">maneras</WORD>
<WORD coords="2832,1180,2978,1121,1178">sim-</WORD>
</LINE>
<LINE>
<WORD coords="601,1276,705,1197,1253">ple</WORD>
<WORD coords="735,1271,751,1241,1272">,</WORD>
<WORD coords="785,1258,1027,1199,1256">cuando</WORD>
<WORD coords="1080,1261,1174,1205,1259">los</WORD>
<WORD coords="1228,1268,1519,1210,1265">caudales</WORD>
<WORD coords="1564,1270,1641,1212,1270">de</WORD>
<WORD coords="1697,1275,1851,1219,1273">cada</WORD>
<WORD coords="1901,1281,2075,1222,1277">socio</WORD>
<WORD coords="2134,1298,2540,1240,1281">permanecen</WORD>
<WORD coords="2598,1305,2765,1225,1281">igual</WORD>
<WORD coords="2798,1287,2984,1228,1284">tiem-</WORD>
</LINE>
<LINE>
<WORD coords="611,1380,691,1321,1359">po</WORD>
<WORD coords="719,1376,735,1326,1378">;</WORD>
<WORD coords="796,1382,836,1325,1382">y</WORD>
<WORD coords="889,1389,1232,1321,1366">compuesta</WORD>
<WORD coords="1303,1372,1335,1334,1372">o</WORD>
<WORD coords="1389,1375,1499,1335,1374">con</WORD>
<WORD coords="1538,1401,1756,1321,1377">tiempo</WORD>
<WORD coords="1779,1398,1797,1368,1392">,</WORD>
<WORD coords="1847,1386,2094,1325,1384">cuando</WORD>
<WORD coords="2146,1386,2236,1328,1385">los</WORD>
<WORD coords="2294,1392,2583,1332,1388">caudales</WORD>
<WORD coords="2637,1390,2740,1332,1389">del</WORD>
<WORD coords="2781,1391,2975,1331,1389">fondo</WORD>
</LINE>
<LINE>
<WORD coords="607,1468,689,1429,1467">no</WORD>
<WORD coords="742,1472,947,1415,1469">tieaen</WORD>
<WORD coords="1004,1495,1170,1418,1474">igual</WORD>
<WORD coords="1229,1498,1465,1420,1477">tiempo</WORD>
<WORD coords="1495,1497,1512,1468,1491">,</WORD>
<WORD coords="1552,1486,1734,1443,1485">como</WORD>
<WORD coords="1791,1488,1844,1430,1487">si</WORD>
<WORD coords="1899,1490,1953,1433,1489">el</WORD>
<WORD coords="2018,1493,2142,1454,1492">uno</WORD>
<WORD coords="2197,1512,2352,1456,1494">puso</WORD>
<WORD coords="2398,1496,2482,1446,1495">50</WORD>
<WORD coords="2538,1513,2717,1455,1493">pesos</WORD>
<WORD coords="2755,1514,2865,1457,1496">por</WORD>
<WORD coords="2898,1500,2982,1457,1499">un</WORD>
</LINE>
<LINE>
<WORD coords="606,1576,726,1521,1575">año</WORD>
<WORD coords="784,1598,825,1540,1595">y</WORD>
<WORD coords="885,1579,940,1523,1579">el</WORD>
<WORD coords="1001,1583,1138,1536,1580">otro</WORD>
<WORD coords="1191,1583,1272,1533,1586">50</WORD>
<WORD coords="1336,1604,1516,1548,1586">pesos</WORD>
<WORD coords="1579,1610,1690,1553,1590">por</WORD>
<WORD coords="1743,1595,1858,1536,1594">dos</WORD>
<WORD coords="1912,1599,2087,1543,1597">años.</WORD>
<WORD coords="2178,1601,2270,1542,1600">La</WORD>
<WORD coords="2325,1620,2687,1556,1601">compuesta</WORD>
<WORD coords="2743,1603,2807,1563,1602">se</WORD>
<WORD coords="2882,1603,2981,1563,1602">re-</WORD>
</LINE>
<LINE>
<WORD coords="608,1685,772,1626,1684">duce</WORD>
<WORD coords="834,1686,865,1632,1694">á</WORD>
<WORD coords="924,1688,981,1630,1687">la</WORD>
<WORD coords="1036,1708,1258,1631,1690">simple</WORD>
<WORD coords="1290,1708,1307,1677,1708">,</WORD>
<WORD coords="1367,1714,1837,1638,1697">multiplicando</WORD>
<WORD coords="1907,1707,2066,1648,1704">cada</WORD>
<WORD coords="2124,1724,2339,1662,1706">puesta</WORD>
<WORD coords="2399,1727,2510,1670,1708">por</WORD>
<WORD coords="2580,1712,2654,1671,1710">su</WORD>
<WORD coords="2710,1728,2985,1651,1708">tiempo;</WORD>
</LINE>
<LINE>
<WORD coords="610,1790,707,1733,1789">asi</WORD>
<WORD coords="756,1791,845,1735,1790">las</WORD>
<WORD coords="889,1795,1003,1736,1794">dos</WORD>
<WORD coords="1060,1815,1308,1751,1797">puestas</WORD>
<WORD coords="1364,1805,1707,1746,1802">anteriores</WORD>
<WORD coords="1761,1808,1828,1771,1807">se</WORD>
<WORD coords="1888,1813,2218,1751,1810">reducirán</WORD>
<WORD coords="2252,1813,2285,1759,1813">á</WORD>
<WORD coords="2321,1834,2488,1757,1814">igual</WORD>
<WORD coords="2535,1832,2769,1756,1813">tiempo</WORD>
<WORD coords="2794,1830,2810,1801,1821">,</WORD>
<WORD coords="2837,1821,2977,1765,1815">cual</WORD>
</LINE>
<LINE>
<WORD coords="602,1896,673,1858,1896">es</WORD>
<WORD coords="729,1897,786,1843,1896">el</WORD>
<WORD coords="836,1904,1056,1861,1900">menor</WORD>
<WORD coords="1103,1903,1183,1865,1902">un</WORD>
<WORD coords="1227,1905,1343,1851,1905">año</WORD>
<WORD coords="1378,1924,1396,1894,1924">,</WORD>
<WORD coords="1436,1929,1913,1850,1910">multiplicando</WORD>
<WORD coords="1974,1916,2029,1858,1915">la</WORD>
<WORD coords="2095,1919,2210,1862,1912">1.*</WORD>
<WORD coords="2254,1937,2470,1873,1918">puesta</WORD>
<WORD coords="2524,1919,2604,1869,1918">50</WORD>
<WORD coords="2653,1938,2759,1880,1918">por</WORD>
<WORD coords="2792,1920,2821,1867,1920">1</WORD>
<WORD coords="2857,1920,2977,1865,1919">año</WORD>
</LINE>
<LINE>
<WORD coords="601,2007,645,1962,2007">V</WORD>
<WORD coords="685,2002,740,1946,2001">la</WORD>
<WORD coords="814,2006,871,1955,1998">2.</WORD>
<WORD coords="896,1984,936,1950,2017">«</WORD>
<WORD coords="1006,2025,1117,1967,2006">por</WORD>
<WORD coords="1163,2008,1200,1960,2012">2</WORD>
<WORD coords="1258,2011,1410,1957,2010">años</WORD>
<WORD coords="1441,2030,1460,2001,2023">,</WORD>
<WORD coords="1516,2015,1574,1958,2014">lo</WORD>
<WORD coords="1628,2036,1748,1980,2018">que</WORD>
<WORD coords="1809,2020,1889,1962,2020">da</WORD>
<WORD coords="1956,2041,2102,1982,2021">para</WORD>
<WORD coords="2164,2025,2296,1978,2024">esta</WORD>
<WORD coords="2357,2026,2468,1975,2025">100</WORD>
<WORD coords="2540,2044,2717,1986,2024">pesos</WORD>
<WORD coords="2751,2038,2770,1991,2038">;</WORD>
<WORD coords="2822,2043,2977,1985,2025">puee</WORD>
</LINE>
<LINE>
<WORD coords="601,2110,669,2072,2109">es</WORD>
<WORD coords="727,2113,892,2055,2110">claro</WORD>
<WORD coords="954,2132,1073,2077,2114">que</WORD>
<WORD coords="1125,2115,1205,2064,2117">50</WORD>
<WORD coords="1262,2137,1444,2077,2118">pesos</WORD>
<WORD coords="1502,2123,1581,2084,2123">en</WORD>
<WORD coords="1641,2124,1677,2075,2124">2</WORD>
<WORD coords="1738,2126,1888,2070,2124">años</WORD>
<WORD coords="1944,2147,2273,2071,2128">equivalen</WORD>
<WORD coords="2310,2131,2342,2075,2131">á</WORD>
<WORD coords="2401,2132,2518,2081,2131">100</WORD>
<WORD coords="2577,2151,2755,2093,2132">pesos</WORD>
<WORD coords="2785,2133,2861,2092,2131">en</WORD>
<WORD coords="2893,2135,2977,2093,2134">un</WORD>
</LINE>
<LINE>
<WORD coords="600,2218,748,2161,2216">año.</WORD>
<WORD coords="849,2222,1212,2160,2219">Entendido</WORD>
<WORD coords="1257,2223,1388,2178,2222">esto</WORD>
<WORD coords="1414,2241,1432,2212,2237">,</WORD>
<WORD coords="1490,2234,1870,2170,2228">resolvamos</WORD>
<WORD coords="1929,2233,1985,2174,2232">la</WORD>
<WORD coords="2044,2255,2347,2178,2234">siguiente</WORD>
<WORD coords="2372,2243,2391,2206,0">:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="852,2331,1175,2269,2326">Cuestión.</WORD>
<WORD coords="1279,2334,1477,2275,2332">Pedro</WORD>
<WORD coords="1509,2347,1525,2320,2347">,</WORD>
<WORD coords="1589,2357,1775,2277,2340">Juan</WORD>
<WORD coords="1831,2358,1873,2299,2358">y</WORD>
<WORD coords="1950,2359,2150,2284,2339">Diego</WORD>
<WORD coords="2207,2348,2480,2286,2344">hicieron</WORD>
<WORD coords="2524,2367,2845,2288,2347">compañía</WORD>
<WORD coords="2898,2349,2973,2307,2348">en</WORD>
</LINE>
<LINE>
<WORD coords="598,2429,683,2387,2428">un</WORD>
<WORD coords="718,2451,919,2371,2434">fondo</WORD>
<WORD coords="964,2454,1132,2387,2434">para</WORD>
<WORD coords="1192,2442,1522,2384,2437">comerciar</WORD>
<WORD coords="1552,2440,1573,2405,2442">:</WORD>
<WORD coords="1604,2442,1661,2387,2441">el</WORD>
<WORD coords="1718,2446,1832,2391,2440">1.°</WORD>
<WORD coords="1878,2466,2032,2399,2445">puso</WORD>
<WORD coords="2080,2449,2161,2398,2448">20</WORD>
<WORD coords="2206,2472,2423,2405,2449">pesos,</WORD>
<WORD coords="2486,2454,2544,2399,2453">el</WORD>
<WORD coords="2583,2455,2706,2401,2449">2.°</WORD>
<WORD coords="2757,2455,2856,2397,2453">dio</WORD>
<WORD coords="2886,2454,2973,2404,2453">40</WORD>
</LINE>
<LINE>
<WORD coords="586,2554,771,2487,2534">pesos</WORD>
<WORD coords="828,2555,865,2499,2552">y</WORD>
<WORD coords="918,2537,974,2482,2536">el</WORD>
<WORD coords="1033,2541,1090,2489,2543">3.</WORD>
<WORD coords="1116,2520,1154,2485,2535">*</WORD>
<WORD coords="1198,2563,1354,2495,2543">puso</WORD>
<WORD coords="1416,2545,1496,2493,2550">80</WORD>
<WORD coords="1520,2562,1535,2533,2562">,</WORD>
<WORD coords="1565,2567,1751,2509,2547">cuyas</WORD>
<WORD coords="1801,2571,2055,2503,2550">puestas</WORD>
<WORD coords="2104,2558,2388,2500,2555">sumadas</WORD>
<WORD coords="2434,2562,2623,2503,2560">hacen</WORD>
<WORD coords="2683,2560,2737,2505,2560">el</WORD>
<WORD coords="2767,2582,2971,2502,2564">fondo</WORD>
</LINE>
<LINE>
<WORD coords="590,2640,665,2583,2639">de</WORD>
<WORD coords="731,2642,847,2592,2644">140</WORD>
<WORD coords="893,2663,1065,2595,2643">pesos</WORD>
<WORD coords="1092,2660,1114,2612,2657">;</WORD>
<WORD coords="1156,2648,1280,2590,2647">Con</WORD>
<WORD coords="1324,2652,1450,2604,2650">este</WORD>
<WORD coords="1489,2677,1804,2598,2653">principal</WORD>
<WORD coords="1859,2658,1980,2601,2656">han</WORD>
<WORD coords="2028,2680,2276,2604,2661">ganado</WORD>
<WORD coords="2335,2666,2457,2615,2665">280</WORD>
<WORD coords="2477,2689,2659,2620,2668">pesos</WORD>
<WORD coords="2684,2674,2707,2632,2670">¿</WORD>
<WORD coords="2738,2667,2800,2629,2667">st</WORD>
<WORD coords="2821,2688,2970,2620,2665">pre.</WORD>
</LINE>
<LINE>
<WORD coords="586,2768,794,2701,2747">¿¡&apos;unta</WORD>
<WORD coords="847,2773,1031,2693,2750">¿^ue</WORD>
<WORD coords="1089,2774,1398,2700,2754">ganancia</WORD>
<WORD coords="1456,2762,1666,2712,2759">tocara</WORD>
<WORD coords="1712,2762,1750,2727,2762">a</WORD>
<WORD coords="1806,2766,1956,2708,2764">cada</WORD>
<WORD coords="2012,2769,2173,2711,2768">uno?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="841,2861,1226,2798,2857">Resolución.</WORD>
<WORD coords="1320,2865,1521,2807,2863">Como</WORD>
<WORD coords="1580,2868,1733,2809,2866">cada</WORD>
<WORD coords="1790,2873,2023,2814,2870">unidad</WORD>
<WORD coords="2079,2875,2116,2819,2875">ó</WORD>
<WORD coords="2194,2895,2342,2838,2876">peso</WORD>
<WORD coords="2394,2882,2471,2823,2881">de</WORD>
<WORD coords="2518,2882,2608,2826,2880">los</WORD>
<WORD coords="2667,2898,2788,2841,2879">que</WORD>
<WORD coords="2837,2880,2973,2815,2878">for-</WORD>
</LINE>
<LINE>
<WORD coords="589,2960,732,2918,2958">man</WORD>
<WORD coords="775,2963,872,2904,2961">los</WORD>
<WORD coords="931,2965,1056,2918,2963">tres</WORD>
<WORD coords="1109,2969,1404,2927,2967">números</WORD>
<WORD coords="1462,2972,1500,2913,2973">ó</WORD>
<WORD coords="1556,2991,1802,2928,2973">puestas</WORD>
<WORD coords="1859,2977,1941,2927,2977">20</WORD>
<WORD coords="1969,2994,1986,2965,2987">,</WORD>
<WORD coords="2042,2980,2125,2928,2979">40</WORD>
<WORD coords="2157,2998,2174,2968,2990">,</WORD>
<WORD coords="2233,2982,2314,2934,2982">80</WORD>
<WORD coords="2361,3004,2539,2948,2986">pesos</WORD>
<WORD coords="2572,3002,2589,2972,2993">,</WORD>
<WORD coords="2649,2985,2759,2946,2983">son</WORD>
<WORD coords="2796,3006,2971,2927,2984">igua-</WORD>
</LINE>
<LINE>
<WORD coords="591,3064,685,3005,3063">les</WORD>
<WORD coords="713,3081,727,3035,3081">;</WORD>
<WORD coords="781,3067,846,3030,3066">se</WORD>
<WORD coords="907,3090,1084,3012,3070">sigue</WORD>
<WORD coords="1136,3093,1257,3036,3075">que</WORD>
<WORD coords="1314,3078,1587,3020,3076">también</WORD>
<WORD coords="1636,3081,1723,3024,3079">las</WORD>
<WORD coords="1781,3102,2109,3027,3082">ganancias</WORD>
<WORD coords="2160,3088,2239,3030,3087">de</WORD>
<WORD coords="2294,3093,2449,3035,3091">cada</WORD>
<WORD coords="2496,3096,2730,3036,3093">unidad</WORD>
<WORD coords="2785,3092,2965,3052,3090">serán</WORD>
</LINE>
<LINE>
<WORD coords="584,3191,825,3112,3170">iguales</WORD>
<WORD coords="854,3189,870,3160,3189">,</WORD>
<WORD coords="899,3193,939,3137,3190">y</WORD>
<WORD coords="971,3178,1102,3122,3176">solo</WORD>
<WORD coords="1159,3198,1506,3127,3181">provendrá</WORD>
<WORD coords="1562,3186,1618,3129,3186">la</WORD>
<WORD coords="1677,3208,1894,3149,3186">mayor</WORD>
<WORD coords="1935,3189,1973,3133,3189">6</WORD>
<WORD coords="2029,3193,2244,3155,3192">menor</WORD>
<WORD coords="2288,3217,2587,3144,3198">ganancia</WORD>
<WORD coords="2648,3218,2768,3164,3201">que</WORD>
<WORD coords="2826,3198,2962,3159,3197">cor-</WORD>
</LINE>
<LINE>
<WORD coords="588,3294,897,3223,3276">responde</WORD>
<WORD coords="957,3283,987,3226,3288">á</WORD>
<WORD coords="1041,3286,1195,3227,3285">cada</WORD>
<WORD coords="1253,3305,1471,3243,3288">puesta</WORD>
<WORD coords="1499,3307,1518,3277,3294">,</WORD>
<WORD coords="1549,3292,1649,3235,3292">del</WORD>
<WORD coords="1711,3314,1925,3256,3294">mayor</WORD>
<WORD coords="1984,3297,2022,3240,3297">ó</WORD>
<WORD coords="2077,3301,2290,3261,3299">menor</WORD>
<WORD coords="2336,3306,2595,3267,3304">numero</WORD>
<WORD coords="2650,3307,2729,3250,3306">de</WORD>
<WORD coords="2786,3323,2967,3266,3304">pesos</WORD>
</LINE>
<LINE>
<WORD coords="587,3400,711,3343,3381">que</WORD>
<WORD coords="757,3383,813,3328,3381">la</WORD>
<WORD coords="866,3407,1207,3346,3387">componen</WORD>
<WORD coords="1243,3396,1259,3359,3397">:</WORD>
<WORD coords="1318,3393,1384,3356,3392">es</WORD>
<WORD coords="1437,3397,1615,3338,3395">decir</WORD>
<WORD coords="1645,3414,1664,3384,3414">,</WORD>
<WORD coords="1707,3418,1827,3360,3399">que</WORD>
<WORD coords="1887,3399,1938,3342,3399">si</WORD>
<WORD coords="2002,3403,2083,3366,3403">un</WORD>
<WORD coords="2144,3424,2290,3367,3405">peso</WORD>
<WORD coords="2339,3428,2492,3370,3406">gana</WORD>
<WORD coords="2549,3410,2629,3373,3409">un</WORD>
<WORD coords="2689,3409,2816,3354,3408">real</WORD>
<WORD coords="2848,3421,2865,3397,3416">,</WORD>
<WORD coords="2894,3412,2952,3356,3410">al</WORD>
</LINE>
<LINE>
<WORD coords="585,3507,710,3450,3487">que</WORD>
<WORD coords="769,3508,922,3452,3490">puso</WORD>
<WORD coords="980,3494,1060,3444,3496">20</WORD>
<WORD coords="1118,3516,1296,3459,3498">pesos</WORD>
<WORD coords="1353,3499,1409,3443,3499">le</WORD>
<WORD coords="1470,3503,1715,3450,3501">tocarán</WORD>
<WORD coords="1772,3505,1853,3456,3505">20</WORD>
<WORD coords="1896,3508,2092,3452,3507">reales</WORD>
<WORD coords="2119,3526,2136,3496,3512">,</WORD>
<WORD coords="2189,3512,2247,3455,3511">al</WORD>
<WORD coords="2294,3531,2414,3475,3513">que</WORD>
<WORD coords="2463,3526,2615,3476,3516">puso</WORD>
<WORD coords="2672,3516,2757,3465,3515">40</WORD>
<WORD coords="2787,3530,2967,3477,3514">pesos</WORD>
</LINE>
<LINE>
<WORD coords="590,3594,648,3537,3594">le</WORD>
<WORD coords="697,3616,1227,3546,3597">corresponderán</WORD>
<WORD coords="1291,3608,1375,3555,3608">40</WORD>
<WORD coords="1434,3611,1632,3554,3609">reales</WORD>
<WORD coords="1691,3613,1804,3552,3610">&amp;c.</WORD>
<WORD coords="1897,3639,2118,3555,3616">Luego</WORD>
<WORD coords="2180,3618,2239,3562,3618">la</WORD>
<WORD coords="2289,3621,2578,3564,3619">cuestión</WORD>
<WORD coords="2642,3640,2845,3564,3619">queda</WORD>
<WORD coords="2874,3619,2967,3581,3617">re-</WORD>
</LINE>
<LINE>
<WORD coords="597,3701,793,3646,3699">sueita</WORD>
<WORD coords="853,3702,967,3665,3701">con</WORD>
<WORD coords="1020,3709,1152,3652,3707">solo</WORD>
<WORD coords="1212,3713,1399,3654,3711">hacer</WORD>
<WORD coords="1457,3716,1570,3660,3715">dos</WORD>
<WORD coords="1628,3740,2079,3666,3721">operaciones:</WORD>
<WORD coords="2133,3726,2182,3674,3725">1.</WORD>
<WORD coords="2210,3704,2247,3672,3704">63</WORD>
<WORD coords="2328,3747,2690,3669,3726">Averiguar</WORD>
<WORD coords="2744,3726,2973,3678,3724">cuanto</WORD>
</LINE>
<LINE>
<WORD coords="612,3828,770,3771,3807">gma</WORD>
<WORD coords="831,3810,869,3753,3816">ó</WORD>
<WORD coords="924,3810,1059,3756,3808">vale</WORD>
<WORD coords="1116,3814,1196,3775,3813">un</WORD>
<WORD coords="1256,3834,1399,3781,3817">peso</WORD>
<WORD coords="1434,3836,1449,3810,3829">,</WORD>
<WORD coords="1478,3822,1552,3785,3821">en</WORD>
<WORD coords="1608,3823,1664,3769,3823">el</WORD>
<WORD coords="1713,3849,2008,3784,3828">supuesto</WORD>
<WORD coords="2062,3831,2138,3772,3831">de</WORD>
<WORD coords="2190,3850,2309,3794,3832">que</WORD>
<WORD coords="2372,3833,2490,3782,3832">140</WORD>
<WORD coords="2542,3848,2718,3794,3829">pesos</WORD>
<WORD coords="2766,3850,2965,3790,3828">ganan</WORD>
</LINE>
<LINE>
<WORD coords="590,3912,626,3860,3920">ó</WORD>
<WORD coords="693,3916,869,3860,3914">valen</WORD>
<WORD coords="919,3917,1040,3867,3919">280</WORD>
<WORD coords="1123,3934,1298,3883,3920">pesos</WORD>
<WORD coords="1334,3938,1349,3891,3933">;</WORD>
<WORD coords="1409,3926,1462,3879,3926">2.</WORD>
<WORD coords="1616,3941,2015,3872,3932">Multiplicar</WORD>
<WORD coords="2069,3937,2126,3881,3936">el</WORD>
<WORD coords="2188,3938,2359,3881,3936">valor</WORD>
<WORD coords="2426,3939,2464,3884,3939">ó</WORD>
<WORD coords="2528,3958,2825,3881,3936">ganancia</WORD>
<WORD coords="2885,3937,2966,3880,3937">de</WORD>
</LINE>
<LINE>
<WORD coords="586,4026,670,3982,4024">un</WORD>
<WORD coords="729,4043,877,3984,4025">peso</WORD>
<WORD coords="930,4045,1040,3987,4025">por</WORD>
<WORD coords="1091,4029,1242,3970,4028">cada</WORD>
<WORD coords="1303,4033,1417,3993,4032">una</WORD>
<WORD coords="1479,4038,1559,3978,4038">de</WORD>
<WORD coords="1622,4039,1712,3982,4037">los</WORD>
<WORD coords="1758,4044,1884,3992,4041">tres</WORD>
<WORD coords="1936,4066,2183,4000,4046">puestas</WORD>
<WORD coords="2238,4047,2318,3995,4046">20</WORD>
<WORD coords="2347,4065,2363,4032,4065">3</WORD>
<WORD coords="2391,4046,2473,3996,4045">40</WORD>
<WORD coords="2517,4067,2552,4009,4057">y</WORD>
<WORD coords="2611,4047,2691,3992,4046">80</WORD>
<WORD coords="2721,4065,2898,4005,4044">pesos</WORD>
<WORD coords="2924,4064,2971,4004,4064">y</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0150.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0151.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0151.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1328,432,1534,342,432">141</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="185,546,203,522,546">v</WORD>
<WORD coords="205,558,223,494,558">f</WORD>
<WORD coords="247,548,329,488,544">.^1</WORD>
<WORD coords="388,566,692,486,544">producto</WORD>
<WORD coords="756,547,902,488,546">dará</WORD>
<WORD coords="955,546,1012,489,546">la</WORD>
<WORD coords="1072,568,1368,497,548">ganancia</WORD>
<WORD coords="1430,566,1794,498,551">respectiva.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="526,652,679,595,650">Para</WORD>
<WORD coords="736,652,913,595,651">saber</WORD>
<WORD coords="970,651,1027,597,651">el</WORD>
<WORD coords="1104,653,1277,598,651">valor</WORD>
<WORD coords="1348,654,1384,621,658">©</WORD>
<WORD coords="1440,676,1727,606,657">ganancia</WORD>
<WORD coords="1799,661,1875,605,661">de</WORD>
<WORD coords="1926,666,2008,626,665">un</WORD>
<WORD coords="2067,685,2212,629,669">peso</WORD>
<WORD coords="2255,688,2270,660,688">,</WORD>
<WORD coords="2334,688,2629,623,682">sabiendo</WORD>
</LINE>
<LINE>
<WORD coords="265,776,384,718,756">qne</WORD>
<WORD coords="458,758,578,707,759">140</WORD>
<WORD coords="635,778,814,719,757">pesos</WORD>
<WORD coords="872,780,1068,720,757">ganan</WORD>
<WORD coords="1118,774,1278,710,763">280,</WORD>
<WORD coords="1340,767,1750,705,761">dividiremos</WORD>
<WORD coords="1802,789,1826,719,781">(</WORD>
<WORD coords="1858,773,1939,717,771">75</WORD>
<WORD coords="2007,774,2129,722,769">4.°</WORD>
<WORD coords="2182,796,2336,728,778">usoj</WORD>
<WORD coords="2412,786,2463,735,786">el</WORD>
<WORD coords="2525,792,2629,754,790">va-</WORD>
</LINE>
<LINE>
<WORD coords="257,861,351,803,859">lor</WORD>
<WORD coords="384,862,504,812,863">280</WORD>
<WORD coords="539,882,854,809,862">ganancia</WORD>
<WORD coords="895,884,1013,817,862">por</WORD>
<WORD coords="1051,865,1168,813,866">140</WORD>
<WORD coords="1197,868,1370,827,866">turna</WORD>
<WORD coords="1410,868,1486,811,867">de</WORD>
<WORD coords="1528,870,1620,809,867">las</WORD>
<WORD coords="1636,894,1889,825,873">puestas</WORD>
<WORD coords="1923,898,1947,862,888">,</WORD>
<WORD coords="1980,879,2037,822,878">lo</WORD>
<WORD coords="2084,900,2207,843,882">que</WORD>
<WORD coords="2248,885,2322,830,884">da</WORD>
<WORD coords="2374,891,2495,843,890">280</WORD>
<WORD coords="2555,915,2620,859,903">^.</WORD>
</LINE>
<LINE>
<WORD coords="263,969,436,910,967">9uíor</WORD>
<WORD coords="498,968,571,913,967">de</WORD>
<WORD coords="622,968,704,928,968">un</WORD>
<WORD coords="737,990,907,923,968">peso.</WORD>
<WORD coords="2296,998,2518,914,994">TioT.</WORD>
<WORD coords="2552,1021,2620,958,1014">p.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="512,1076,576,1016,1075">Si</WORD>
<WORD coords="630,1080,820,1018,1075">ahora</WORD>
<WORD coords="870,1078,1001,1032,1077">esta</WORD>
<WORD coords="1052,1100,1349,1025,1080">ganancia</WORD>
<WORD coords="1396,1083,1474,1024,1082">de</WORD>
<WORD coords="1534,1084,1614,1046,1084">un</WORD>
<WORD coords="1671,1104,1821,1048,1089">p£so</WORD>
<WORD coords="1862,1113,2343,1038,1096">multiplicamos</WORD>
<WORD coords="2381,1119,2488,1067,1103">por</WORD>
<WORD coords="2519,1107,2618,1068,1105">ca-</WORD>
</LINE>
<LINE>
<WORD coords="195,1184,219,1146,1188">y</WORD>
<WORD coords="265,1180,347,1120,1179">da</WORD>
<WORD coords="399,1194,614,1134,1180">puesta</WORD>
<WORD coords="638,1200,666,1152,1196">»</WORD>
<WORD coords="714,1186,782,1145,1187">y.,</WORD>
<WORD coords="829,1204,895,1148,1197">g.</WORD>
<WORD coords="976,1205,1087,1148,1186">por</WORD>
<WORD coords="1138,1187,1203,1131,1186">la</WORD>
<WORD coords="1255,1208,1522,1131,1188">primera</WORD>
<WORD coords="1580,1191,1661,1142,1191">20</WORD>
<WORD coords="1695,1207,1711,1180,1203">,</WORD>
<WORD coords="1765,1200,1892,1153,1196">este</WORD>
<WORD coords="1954,1219,2254,1145,1202">producto</WORD>
<WORD coords="2311,1208,2422,1169,1207">nos</WORD>
<WORD coords="2485,1215,2632,1155,1211">dará</WORD>
</LINE>
<LINE>
<WORD coords="265,1285,323,1226,1284">la</WORD>
<WORD coords="380,1305,674,1231,1286">ganancia</WORD>
<WORD coords="730,1308,855,1253,1291">que</WORD>
<WORD coords="926,1293,1068,1247,1292">toca</WORD>
<WORD coords="1125,1294,1179,1238,1293">al</WORD>
<WORD coords="1245,1312,1475,1238,1294">primer</WORD>
<WORD coords="1532,1316,1913,1248,1299">compañero</WORD>
<WORD coords="2026,1314,2382,1253,1308">tendremos</WORD>
<WORD coords="2447,1334,2624,1280,1319">pues,</WORD>
</LINE>
<LINE>
<WORD coords="203,1400,222,1383,1398">...</WORD>
<WORD coords="267,1412,612,1334,1391">(llamando</WORD>
<WORD coords="672,1396,717,1359,1396">x</WORD>
<WORD coords="747,1396,801,1340,1395">la</WORD>
<WORD coords="852,1417,1150,1343,1398">ganancia</WORD>
<WORD coords="1192,1403,1474,1343,1401">buscada</WORD>
<WORD coords="1523,1423,1562,1367,1423">y</WORD>
<WORD coords="1616,1423,1931,1351,1406">poniendo</WORD>
<WORD coords="1980,1412,2099,1374,1411">una</WORD>
<WORD coords="2142,1439,2191,1368,1427">p</WORD>
<WORD coords="2240,1415,2295,1359,1414">al</WORD>
<WORD coords="2350,1419,2487,1363,1417">lado</WORD>
<WORD coords="2520,1425,2621,1367,1423">del</WORD>
</LINE>
<LINE>
<WORD coords="269,1497,351,1446,1501">20</WORD>
<WORD coords="403,1513,544,1459,1495">para</WORD>
<WORD coords="592,1503,938,1443,1501">demostrar</WORD>
<WORD coords="985,1522,1115,1468,1505">,que</WORD>
<WORD coords="1173,1505,1238,1468,1504">es</WORD>
<WORD coords="1297,1508,1416,1469,1506">una</WORD>
<WORD coords="1465,1527,1676,1465,1509">puesta</WORD>
<WORD coords="1700,1532,1727,1455,1532">)</WORD>
<WORD coords="1776,1534,2102,1461,1515">espreszda</WORD>
<WORD coords="2159,1522,2341,1463,1520">dicha</WORD>
<WORD coords="2405,1547,2633,1489,1526">ganan-</WORD>
</LINE>
<LINE>
<WORD coords="208,1611,368,1545,1606">cia</WORD>
<WORD coords="411,1605,487,1564,1604">en</WORD>
<WORD coords="539,1605,595,1547,1603">la</WORD>
<WORD coords="644,1610,987,1550,1607">ecuación:</WORD>
<WORD coords="1058,1610,1181,1562,1612">280</WORD>
<WORD coords="1206,1630,1277,1575,1625">g.</WORD>
<WORD coords="1331,1630,1400,1561,1630">X</WORD>
<WORD coords="1457,1616,1538,1567,1616">20</WORD>
<WORD coords="1562,1635,1607,1571,1635">P</WORD>
<WORD coords="1685,1629,1792,1590,1628">=s</WORD>
<WORD coords="1837,1633,2026,1585,1633">*-gs</WORD>
<WORD coords="2087,1626,2177,1575,1626">40</WORD>
<WORD coords="2222,1649,2424,1584,1629">pesos.</WORD>
<WORD coords="2499,1659,2622,1578,1635">(B)</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="523,1796,623,1737,1796">De</WORD>
<WORD coords="677,1815,1057,1738,1796">multiplicar</WORD>
<WORD coords="1110,1802,1165,1744,1801">el</WORD>
<WORD coords="1229,1805,1403,1752,1803">valor</WORD>
<WORD coords="1435,1807,1512,1750,1806">de</WORD>
<WORD coords="1547,1808,1626,1770,1807">un</WORD>
<WORD coords="1676,1824,1821,1771,1811">peso</WORD>
<WORD coords="1874,1832,1985,1774,1812">por</WORD>
<WORD coords="2030,1824,2182,1758,1817">cada</WORD>
<WORD coords="2231,1838,2443,1776,1821">puesta</WORD>
<WORD coords="2476,1838,2492,1812,1833">,</WORD>
<WORD coords="2523,1828,2624,1787,1826">re-</WORD>
</LINE>
<LINE>
<WORD coords="235,1907,248,1895,1910">,</WORD>
<WORD coords="274,1900,435,1840,1899">aulta</WORD>
<WORD coords="481,1918,600,1864,1901">que</WORD>
<WORD coords="659,1901,687,1848,1907">á</WORD>
<WORD coords="746,1904,947,1847,1903">Pedro</WORD>
<WORD coords="1001,1907,1180,1861,1906">tocan</WORD>
<WORD coords="1234,1909,1323,1860,1910">40</WORD>
<WORD coords="1382,1930,1555,1875,1912">pesos</WORD>
<WORD coords="1583,1928,1602,1883,1921">;</WORD>
<WORD coords="1651,1915,1678,1862,1915">á</WORD>
<WORD coords="1732,1935,1893,1861,1922">Juan</WORD>
<WORD coords="1950,1922,2029,1871,1921">80</WORD>
<WORD coords="2079,1940,2253,1887,1925">pesos</WORD>
<WORD coords="2313,1948,2354,1892,1938">y</WORD>
<WORD coords="2411,1928,2438,1892,1928">a</WORD>
<WORD coords="2479,1936,2630,1874,1933">Die-</WORD>
</LINE>
<LINE>
<WORD coords="273,2025,355,1968,2005">go</WORD>
<WORD coords="417,2010,537,1954,2011">160</WORD>
<WORD coords="594,2008,671,1950,2007">de</WORD>
<WORD coords="736,2030,1080,1953,2009">ganancia,</WORD>
<WORD coords="1145,2034,1265,1978,2015">que</WORD>
<WORD coords="1312,2021,1604,1963,2018">sumados</WORD>
<WORD coords="1666,2026,1858,1965,2024">hacen</WORD>
<WORD coords="1915,2029,2035,1977,2028">280</WORD>
<WORD coords="2093,2051,2382,1976,2033">ganancia</WORD>
<WORD coords="2436,2044,2610,1982,2038">tota!.</WORD>
</LINE>
<LINE>
<WORD coords="276,2112,377,2053,2111">De</WORD>
<WORD coords="448,2113,502,2057,2112">la</WORD>
<WORD coords="559,2133,876,2061,2114">espresion</WORD>
<WORD coords="931,2125,1146,2062,2119">ultima</WORD>
<WORD coords="1200,2124,1572,2064,2122">.deducimos</WORD>
<WORD coords="1626,2127,1684,2071,2127">la</WORD>
<WORD coords="1744,2151,1906,2075,2129">regla</WORD>
<WORD coords="1961,2157,2298,2078,2135">siguifente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="357,2218,412,2165,2210">1.</WORD>
<WORD coords="439,2196,474,2163,2238">*</WORD>
<WORD coords="587,2222,758,2162,2220">Para</WORD>
<WORD coords="809,2223,991,2183,2222">sacar</WORD>
<WORD coords="1058,2246,1180,2179,2225">por</WORD>
<WORD coords="1239,2234,1362,2188,2230">una</WORD>
<WORD coords="1424,2254,1637,2175,2229">simple</WORD>
<WORD coords="1675,2257,2146,2180,2238">multtplkacwn</WORD>
<WORD coords="2192,2272,2239,2210,2262">y</WORD>
<WORD coords="2290,2253,2551,2191,2251">división</WORD>
<WORD coords="2578,2259,2638,2195,2256">la</WORD>
</LINE>
<LINE>
<WORD coords="256,2343,577,2266,2323">ganancia</WORD>
<WORD coords="624,2327,661,2287,2327">o</WORD>
<WORD coords="703,2350,970,2273,2327">perdida</WORD>
<WORD coords="1006,2344,1023,2318,2344">,</WORD>
<WORD coords="1075,2355,1194,2294,2332">que</WORD>
<WORD coords="1248,2359,1652,2284,2336">corresponde</WORD>
<WORD coords="1705,2342,1742,2306,2342">a</WORD>
<WORD coords="1800,2348,1952,2289,2345">cada</WORD>
<WORD coords="2010,2370,2231,2303,2350">puesta</WORD>
<WORD coords="2292,2357,2371,2318,2357">en</WORD>
<WORD coords="2429,2358,2486,2304,2357">la</WORD>
<WORD coords="2541,2360,2634,2321,2358">te-</WORD>
</LINE>
<LINE>
<WORD coords="260,2448,372,2375,2428">gla</WORD>
<WORD coords="427,2432,499,2373,2430">de</WORD>
<WORD coords="540,2456,1006,2388,2434">eompamayse</WORD>
<WORD coords="1060,2460,1390,2385,2439">multiplica</WORD>
<WORD coords="1441,2445,1504,2390,2444">la</WORD>
<WORD coords="1544,2466,1862,2398,2450">ganancia</WORD>
<WORD coords="1915,2456,1951,2417,2456">o</WORD>
<WORD coords="1998,2478,2260,2401,2458">perdida</WORD>
<WORD coords="2305,2483,2423,2417,2463">por</WORD>
<WORD coords="2479,2472,2636,2410,2464">cad*</WORD>
</LINE>
<LINE>
<WORD coords="261,2559,485,2491,2537">puesta</WORD>
<WORD coords="529,2558,575,2501,2538">tj</WORD>
<WORD coords="623,2541,690,2484,2540">el</WORD>
<WORD coords="733,2562,1028,2491,2543">producto</WORD>
<WORD coords="1086,2546,1151,2509,2545">se</WORD>
<WORD coords="1199,2550,1405,2492,2548">divide</WORD>
<WORD coords="1452,2578,1574,2506,2552">por</WORD>
<WORD coords="1622,2557,1679,2512,2556">ta</WORD>
<WORD coords="1714,2561,1885,2520,2558">swna</WORD>
<WORD coords="1931,2562,2004,2509,2562">de</WORD>
<WORD coords="2058,2568,2153,2508,2568">fas</WORD>
<WORD coords="2194,2586,2464,2521,2568">puestas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="526,2646,591,2589,2646">Si</WORD>
<WORD coords="641,2646,715,2611,2646">en</WORD>
<WORD coords="750,2649,810,2593,2649">la</WORD>
<WORD coords="867,2655,1169,2594,2651">ecuación</WORD>
<WORD coords="1207,2677,1320,2596,2653">[B]</WORD>
<WORD coords="1353,2677,1830,2602,2659">multiplicamos</WORD>
<WORD coords="1883,2670,2096,2613,2668">ambos</WORD>
<WORD coords="2156,2678,2489,2617,2673">miembros</WORD>
<WORD coords="2525,2694,2636,2641,2682">por</WORD>
</LINE>
<LINE>
<WORD coords="270,2748,327,2691,2747">el</WORD>
<WORD coords="379,2752,830,2692,2750">denominador</WORD>
<WORD coords="890,2755,1003,2705,2756">140</WORD>
<WORD coords="1030,2756,1082,2719,2755">s.</WORD>
<WORD coords="1111,2778,1156,2711,2776">p</WORD>
<WORD coords="1192,2774,1206,2745,2773">,</WORD>
<WORD coords="1253,2773,1395,2722,2758">para</WORD>
<WORD coords="1456,2763,1514,2708,2762">lo</WORD>
<WORD coords="1566,2783,1682,2731,2768">que</WORD>
<WORD coords="1741,2771,1792,2716,2769">le</WORD>
<WORD coords="1841,2789,2241,2720,2773">suprimimos</WORD>
<WORD coords="2276,2778,2347,2743,2777">en</WORD>
<WORD coords="2381,2780,2432,2727,2780">el</WORD>
<WORD coords="2467,2801,2616,2747,2784">que-</WORD>
</LINE>
<LINE>
<WORD coords="271,2855,467,2796,2854">brado</WORD>
<WORD coords="501,2872,518,2843,2874">,</WORD>
<WORD coords="574,2863,938,2803,2859">tendremos</WORD>
<WORD coords="992,2865,1117,2815,2867">280</WORD>
<WORD coords="1146,2886,1198,2831,2886">g</WORD>
<WORD coords="1272,2891,1350,2811,2891">X</WORD>
<WORD coords="1427,2873,1513,2821,2873">20</WORD>
<WORD coords="1545,2895,1592,2829,2895">P</WORD>
<WORD coords="1667,2878,1762,2863,2878">~</WORD>
<WORD coords="1826,2882,1945,2831,2881">140</WORD>
<WORD coords="1994,2884,2044,2845,2883">s.</WORD>
<WORD coords="2084,2904,2145,2839,2892">/&gt;.</WORD>
<WORD coords="2198,2905,2276,2830,2905">X</WORD>
<WORD coords="2429,2899,2445,2853,2899">?</WORD>
<WORD coords="2516,2904,2637,2854,2894">que</WORD>
</LINE>
<LINE>
<WORD coords="276,2978,487,2917,2961">puesta</WORD>
<WORD coords="534,2965,589,2908,2963">la</WORD>
<WORD coords="668,2968,961,2912,2966">ecuación</WORD>
<WORD coords="1016,2972,1091,2934,2972">en</WORD>
<WORD coords="1152,2979,1358,2916,2975">forma</WORD>
<WORD coords="1403,2980,1481,2923,2979">de</WORD>
<WORD coords="1538,3000,1902,2928,2981">proporción</WORD>
<WORD coords="1943,3012,2128,2932,2998">[162]</WORD>
<WORD coords="2162,3005,2177,2978,2998">,</WORD>
<WORD coords="2220,2992,2284,2953,2992">es</WORD>
<WORD coords="2347,2994,2462,2943,2993">140</WORD>
<WORD coords="2486,3021,2637,2950,2994">s.p.</WORD>
</LINE>
<LINE>
<WORD coords="198,3046,213,3006,3046">1</WORD>
<WORD coords="280,3070,297,3054,3079">•</WORD>
<WORD coords="359,3069,481,3020,3068">280</WORD>
<WORD coords="496,3091,573,3034,3082">g&gt;</WORD>
<WORD coords="637,3076,681,3038,3076">r.</WORD>
<WORD coords="734,3096,902,3024,3078">20/&gt;.</WORD>
<WORD coords="960,3080,977,3045,3082">:</WORD>
<WORD coords="1037,3094,1126,3041,3078">x;</WORD>
<WORD coords="1187,3081,1261,3024,3080">de</WORD>
<WORD coords="1307,3085,1514,3026,3082">donde</WORD>
<WORD coords="1564,3089,1902,3029,3086">inferimos</WORD>
<WORD coords="1952,3104,2112,3056,3091">que:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="353,3176,390,3126,3185">2</WORD>
<WORD coords="438,3152,477,3121,3173">*</WORD>
<WORD coords="594,3178,759,3126,3176">Para</WORD>
<WORD coords="807,3185,1183,3125,3182">determinar</WORD>
<WORD coords="1222,3187,1279,3132,3186">la</WORD>
<WORD coords="1302,3208,1617,3136,3190">ganancia</WORD>
<WORD coords="1675,3192,1704,3156,3192">o</WORD>
<WORD coords="1758,3215,2016,3140,3195">perdida</WORD>
<WORD coords="2072,3223,2186,3164,3200">que</WORD>
<WORD coords="2241,3205,2445,3164,3201">corres</WORD>
<WORD coords="2446,3226,2543,3160,3207">po,</WORD>
<WORD coords="2570,3208,2641,3151,3208">de</WORD>
</LINE>
<LINE>
<WORD coords="269,3278,311,3240,3278">a</WORD>
<WORD coords="365,3281,514,3224,3280">cada</WORD>
<WORD coords="557,3304,779,3237,3284">puesta</WORD>
<WORD coords="836,3287,909,3249,3286">en</WORD>
<WORD coords="940,3288,999,3234,3288">la</WORD>
<WORD coords="1033,3313,1206,3241,3289">regla</WORD>
<WORD coords="1257,3296,1327,3240,3295">de</WORD>
<WORD coords="1379,3319,1698,3239,3297">compañía</WORD>
<WORD coords="1732,3309,1748,3287,3309">%</WORD>
<WORD coords="1778,3301,1843,3265,3300">se</WORD>
<WORD coords="1882,3307,2038,3247,3304">hará</WORD>
<WORD coords="2069,3310,2198,3262,3307">esta</WORD>
<WORD coords="2242,3332,2639,3257,3310">proporción&apos;.</WORD>
</LINE>
<LINE>
<WORD coords="270,3385,365,3327,3384">La</WORD>
<WORD coords="435,3390,597,3350,3388">mma</WORD>
<WORD coords="663,3392,741,3336,3391">de</WORD>
<WORD coords="787,3393,880,3336,3392">las</WORD>
<WORD coords="927,3417,1180,3351,3396">puestas</WORD>
<WORD coords="1218,3400,1232,3364,3402">:</WORD>
<WORD coords="1295,3401,1359,3363,3400">es</WORD>
<WORD coords="1430,3403,1464,3367,3403">a</WORD>
<WORD coords="1512,3403,1574,3349,3403">Ja</WORD>
<WORD coords="1619,3423,1936,3355,3406">ganancia</WORD>
<WORD coords="1993,3411,2024,3374,3411">o</WORD>
<WORD coords="2074,3433,2333,3358,3413">perdida</WORD>
<WORD coords="2393,3420,2427,3382,3419">::</WORD>
<WORD coords="2472,3422,2632,3382,3419">como</WORD>
</LINE>
<LINE>
<WORD coords="269,3494,394,3452,3493">una</WORD>
<WORD coords="429,3517,654,3449,3495">puesta</WORD>
<WORD coords="697,3500,720,3463,3506">;</WORD>
<WORD coords="775,3501,840,3463,3500">es</WORD>
<WORD coords="892,3502,933,3465,3502">a</WORD>
<WORD coords="988,3504,1046,3447,3503">la</WORD>
<WORD coords="1091,3528,1411,3449,3507">incógnita</WORD>
<WORD coords="1464,3511,1513,3473,3511">x</WORD>
<WORD coords="1538,3519,1552,3500,3519">,</WORD>
<WORD coords="1611,3536,1723,3476,3513">que</WORD>
<WORD coords="1776,3517,1842,3479,3516">se</WORD>
<WORD coords="1893,3519,2133,3461,3516">hallara</WORD>
<WORD coords="2175,3539,2370,3484,3521">según</WORD>
<WORD coords="2436,3545,2631,3475,3524">reg&apos;a*</WORD>
</LINE>
<LINE>
<WORD coords="519,3609,775,3550,3604">Escolio.</WORD>
<WORD coords="865,3610,956,3551,3609">La</WORD>
<WORD coords="1015,3614,1295,3560,3612">cuestión</WORD>
<WORD coords="1348,3623,1750,3563,3618">antecederte</WORD>
<WORD coords="1783,3636,1800,3610,3630">,</WORD>
<WORD coords="1828,3624,2096,3568,3623">también</WORD>
<WORD coords="2125,3628,2189,3590,3626">se</WORD>
<WORD coords="2239,3632,2409,3575,3628">surle</WORD>
<WORD coords="2441,3630,2494,3595,3629">et</WORD>
<WORD coords="2520,3632,2626,3594,3631">un-</WORD>
</LINE>
<LINE>
<WORD coords="269,3706,399,3646,3704">ciar</WORD>
<WORD coords="450,3709,532,3652,3708">de</WORD>
<WORD coords="583,3712,718,3668,3711">e.ta</WORD>
<WORD coords="797,3721,1107,3676,3714">manera:</WORD>
<WORD coords="1172,3723,1444,3660,3720">Dividir</WORD>
<WORD coords="1493,3723,1552,3670,3723">el</WORD>
<WORD coords="1592,3728,1837,3687,3725">numero</WORD>
<WORD coords="1888,3728,2005,3680,3728">280</WORD>
<WORD coords="2082,3732,2152,3693,3731">en</WORD>
<WORD coords="2231,3734,2355,3687,3733">tres</WORD>
<WORD coords="2427,3759,2638,3689,3732">pa&gt;tts</WORD>
</LINE>
<LINE>
<WORD coords="269,3833,387,3774,3811">que</WORD>
<WORD coords="444,3837,671,3767,3814">tengan</WORD>
<WORD coords="729,3821,900,3774,3817">entre</WORD>
<WORD coords="952,3821,1009,3773,3821">si</WORD>
<WORD coords="1063,3824,1121,3770,3823">la</WORD>
<WORD coords="1179,3827,1387,3771,3824">misma</WORD>
<WORD coords="1433,3831,1624,3791,3828">razón</WORD>
<WORD coords="1670,3854,1783,3795,3830">que</WORD>
<WORD coords="1827,3832,1914,3778,3831">las</WORD>
<WORD coords="1970,3835,2093,3788,3833">tres</WORD>
<WORD coords="2144,3839,2492,3783,3836">cantidades</WORD>
<WORD coords="2527,3839,2630,3784,3838">da.</WORD>
</LINE>
<LINE>
<WORD coords="267,3921,378,3861,3920">das</WORD>
<WORD coords="444,3926,525,3872,3928">20</WORD>
<WORD coords="555,3943,574,3909,3939">,</WORD>
<WORD coords="626,3928,712,3875,3930">40</WORD>
<WORD coords="739,3945,763,3910,3945">f</WORD>
<WORD coords="789,3924,792,3921,3929">.</WORD>
<WORD coords="816,3928,896,3878,3929">80</WORD>
<WORD coords="928,3947,946,3895,3941">;</WORD>
<WORD coords="996,3932,1115,3883,3931">¿sto</WORD>
<WORD coords="1172,3931,1231,3895,3931">es</WORD>
<WORD coords="1261,3948,1280,3918,3948">,</WORD>
<WORD coords="1335,3956,1448,3880,3930">qué</WORD>
<WORD coords="1491,3936,1548,3880,3934">la</WORD>
<WORD coords="1598,3939,1653,3890,3939">1.</WORD>
<WORD coords="1680,3919,1714,3883,3919">a</WORD>
<WORD coords="1764,3963,1948,3892,3939">tenga</WORD>
<WORD coords="1992,3945,2102,3904,3944">con</WORD>
<WORD coords="2159,3946,2218,3890,3945">la</WORD>
<WORD coords="2263,3945,2318,3899,3941">2.</WORD>
<WORD coords="2350,3922,2383,3888,3917">13</WORD>
<WORD coords="2433,3945,2493,3896,3943">ia</WORD>
<WORD coords="2523,3944,2625,3903,3944">ra-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1396,4017,1476,3962,4014">¿7</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0151.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0152.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0152.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1808,414,2024,320,412">142</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="714,536,842,491,534">%cn</WORD>
<WORD coords="897,532,966,474,531">de</WORD>
<WORD coords="1023,533,1104,481,533">20</WORD>
<WORD coords="1149,533,1168,497,533">:</WORD>
<WORD coords="1219,534,1300,477,533">40</WORD>
<WORD coords="1334,548,1349,520,548">,</WORD>
<WORD coords="1412,552,1454,496,543">y</WORD>
<WORD coords="1514,535,1572,477,534">la</WORD>
<WORD coords="1644,535,1696,485,535">l.</WORD>
<WORD coords="1724,514,1760,479,514">Q</WORD>
<WORD coords="1838,534,1948,498,533">con</WORD>
<WORD coords="1993,535,2051,480,534">la</WORD>
<WORD coords="2108,537,2227,477,530">3.^</WORD>
<WORD coords="2294,536,2352,477,535">la</WORD>
<WORD coords="2415,535,2609,494,534">razón</WORD>
<WORD coords="2658,534,2741,476,534">dé</WORD>
<WORD coords="2787,534,2867,480,533">20</WORD>
<WORD coords="2909,535,2929,499,535">;</WORD>
<WORD coords="2987,537,3089,480,535">80,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="975,641,1099,581,639">Las</WORD>
<WORD coords="1145,641,1496,584,638">cuestiones</WORD>
<WORD coords="1541,640,1604,605,639">se</WORD>
<WORD coords="1664,642,1942,586,641">escriben</WORD>
<WORD coords="1977,658,1992,631,658">,</WORD>
<WORD coords="2021,660,2122,605,642">po-</WORD>
<WORD coords="2304,642,2371,585,640">P.</WORD>
<WORD coords="2467,642,2545,593,641">20</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="706,746,938,687,744">aiendo</WORD>
<WORD coords="972,746,1061,690,745">las</WORD>
<WORD coords="1094,762,1338,701,746">puestas</WORD>
<WORD coords="1376,748,1527,710,746">unas</WORD>
<WORD coords="1554,762,1776,691,746">debajo</WORD>
<WORD coords="1808,750,1886,693,749">de</WORD>
<WORD coords="1918,762,2106,704,749">otras,</WORD>
<WORD coords="2287,762,2350,690,762">J.</WORD>
<WORD coords="2463,748,2547,699,747">40</WORD>
<WORD coords="2619,743,2631,671,743">I</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="709,824,729,792,824">i</WORD>
<WORD coords="1027,806,1040,796,811">•</WORD>
<WORD coords="1157,812,1175,797,815">-</WORD>
<WORD coords="1339,824,1371,795,824">j</WORD>
<WORD coords="1628,824,1642,798,824">i</WORD>
<WORD coords="1754,824,1787,797,824">r</WORD>
<WORD coords="2616,824,2667,752,824">J&gt;</WORD>
<WORD coords="2711,808,2832,756,810">280</WORD>
<WORD coords="2870,824,3071,762,809">pesos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="710,851,771,800,851">la</WORD>
<WORD coords="827,872,1084,816,852">ganacia</WORD>
<WORD coords="1138,853,1176,816,853">o</WORD>
<WORD coords="1225,872,1485,800,852">perdida</WORD>
<WORD coords="1530,854,1562,817,854">a</WORD>
<WORD coords="1628,854,1685,800,853">la</WORD>
<WORD coords="1754,855,1952,800,854">frente</WORD>
<WORD coords="2010,869,2027,843,869">,</WORD>
<WORD coords="2082,878,2120,820,869">y</WORD>
<WORD coords="2293,861,2374,803,859">D.</WORD>
<WORD coords="2442,860,2544,810,849">&quot;80</WORD>
<WORD coords="2616,870,2629,826,870">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="707,981,935,900,958">debajo</WORD>
<WORD coords="982,960,1058,903,959">de</WORD>
<WORD coords="1106,961,1192,904,959">las</WORD>
<WORD coords="1247,977,1492,916,960">puestas</WORD>
<WORD coords="1538,962,1593,906,961">la</WORD>
<WORD coords="1625,963,1801,926,962">suma</WORD>
<WORD coords="1830,963,1907,905,962">de</WORD>
<WORD coords="1942,966,2092,907,964">eiias</WORD>
<WORD coords="2098,979,2116,951,979">f</WORD>
<WORD coords="2601,959,2624,884,959">\</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="706,1087,908,1023,1066">Según</WORD>
<WORD coords="965,1066,1030,1029,1065">se</WORD>
<WORD coords="1083,1066,1155,1030,1065">ve</WORD>
<WORD coords="1213,1067,1242,1012,1067">á</WORD>
<WORD coords="1291,1067,1344,1012,1066">la</WORD>
<WORD coords="1398,1090,1682,1030,1067">margen.</WORD>
<WORD coords="2441,1076,2560,1026,1076">140</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="963,1174,1263,1115,1172">Cuestión</WORD>
<WORD coords="1320,1175,1355,1126,1177">2</WORD>
<WORD coords="1552,1176,1684,1119,1174">Dos</WORD>
<WORD coords="1734,1178,2165,1121,1176">comerciantes</WORD>
<WORD coords="2215,1182,2488,1121,1179">hicieron</WORD>
<WORD coords="2564,1207,2885,1128,1184">compañía</WORD>
<WORD coords="2914,1193,2936,1151,1191">;</WORD>
<WORD coords="3012,1189,3073,1129,1189">el</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="699,1300,974,1220,1276">primero</WORD>
<WORD coords="1022,1300,1180,1235,1280">puso</WORD>
<WORD coords="1226,1282,1298,1243,1281">en</WORD>
<WORD coords="1355,1280,1412,1225,1280">el</WORD>
<WORD coords="1459,1302,1658,1222,1285">fondo</WORD>
<WORD coords="1714,1282,1839,1233,1282">200</WORD>
<WORD coords="1882,1304,2060,1239,1283">pesos</WORD>
<WORD coords="2132,1305,2173,1248,1298">y</WORD>
<WORD coords="2231,1286,2287,1233,1285">el</WORD>
<WORD coords="2359,1310,2628,1234,1289">segundo</WORD>
<WORD coords="2701,1293,2837,1242,1291">340,</WORD>
<WORD coords="2932,1293,3066,1237,1292">Por</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="703,1388,900,1331,1384">cierta</WORD>
<WORD coords="969,1392,1277,1329,1386">discordia</WORD>
<WORD coords="1332,1386,1398,1349,1386">se</WORD>
<WORD coords="1441,1387,1636,1332,1386">retira</WORD>
<WORD coords="1693,1388,1763,1335,1388">de</WORD>
<WORD coords="1810,1389,1865,1335,1389">la</WORD>
<WORD coords="1911,1412,2229,1348,1390">compañía</WORD>
<WORD coords="2274,1393,2331,1338,1392">el</WORD>
<WORD coords="2374,1403,2634,1340,1395">primero</WORD>
<WORD coords="2682,1396,2751,1344,1396">al</WORD>
<WORD coords="2793,1399,2935,1340,1397">cabo</WORD>
<WORD coords="2994,1399,3067,1342,1398">de</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="704,1490,741,1442,1494">5</WORD>
<WORD coords="804,1491,987,1454,1490">meses</WORD>
<WORD coords="1019,1503,1033,1481,1503">,</WORD>
<WORD coords="1059,1512,1100,1454,1505">y</WORD>
<WORD coords="1155,1492,1208,1444,1492">el</WORD>
<WORD coords="1255,1513,1525,1437,1492">segundo</WORD>
<WORD coords="1579,1495,1867,1440,1493">continua</WORD>
<WORD coords="1903,1518,2023,1452,1495">por</WORD>
<WORD coords="2078,1499,2159,1461,1498">un</WORD>
<WORD coords="2204,1500,2322,1444,1499">año</WORD>
<WORD coords="2357,1486,2375,1467,1492">«</WORD>
<WORD coords="2404,1500,2466,1464,1499">se</WORD>
<WORD coords="2495,1504,2658,1446,1501">halla</WORD>
<WORD coords="2702,1527,2813,1467,1503">que</WORD>
<WORD coords="2859,1503,2916,1449,1502">la</WORD>
<WORD coords="2938,1524,3059,1468,1506">ga»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="699,1597,925,1546,1595">nancia</WORD>
<WORD coords="969,1597,1035,1541,1597">al</WORD>
<WORD coords="1073,1599,1191,1540,1598">ario</WORD>
<WORD coords="1248,1623,1545,1543,1600">cumplida</WORD>
<WORD coords="1593,1602,1655,1564,1601">es</WORD>
<WORD coords="1712,1603,1782,1546,1602">de</WORD>
<WORD coords="1833,1604,1952,1550,1603">635</WORD>
<WORD coords="1990,1626,2195,1559,1606">pesos;</WORD>
<WORD coords="2249,1632,2507,1562,1607">¿cuanto</WORD>
<WORD coords="2552,1631,2957,1554,1610">corresponde</WORD>
<WORD coords="3021,1613,3063,1571,1613">a</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="704,1703,858,1643,1702">cada</WORD>
<WORD coords="909,1703,1070,1645,1703">uno?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="954,1812,1259,1753,1810">Reduzco</WORD>
<WORD coords="1302,1811,1392,1754,1811">las</WORD>
<WORD coords="1447,1832,1690,1769,1814">puestas</WORD>
<WORD coords="1745,1816,1774,1762,1817">á</WORD>
<WORD coords="1828,1818,1910,1779,1817">un</WORD>
<WORD coords="1971,1819,2193,1763,1817">mismo</WORD>
<WORD coords="2252,1842,2494,1765,1821">tiempo</WORD>
<WORD coords="2524,1839,2542,1811,1839">,</WORD>
<WORD coords="2588,1839,3063,1765,1821">multiplicando</WORD>
</LINE>
<LINE>
<WORD coords="697,1916,757,1858,1915">la</WORD>
<WORD coords="808,1917,864,1865,1916">le</WORD>
<WORD coords="889,1893,926,1860,1908">*</WORD>
<WORD coords="969,1934,1079,1879,1915">por</WORD>
<WORD coords="1122,1919,1158,1869,1921">5</WORD>
<WORD coords="1217,1920,1415,1882,1918">meses</WORD>
<WORD coords="1464,1940,1507,1884,1931">y</WORD>
<WORD coords="1561,1922,1616,1866,1922">la</WORD>
<WORD coords="1662,1924,1719,1876,1923">2.</WORD>
<WORD coords="1747,1905,1783,1863,1914">*</WORD>
<WORD coords="1833,1944,1947,1887,1923">por</WORD>
<WORD coords="1997,1926,2076,1889,1925">un</WORD>
<WORD coords="2124,1928,2241,1876,1926">año</WORD>
<WORD coords="2292,1930,2331,1871,1929">ó</WORD>
<WORD coords="2376,1929,2450,1882,1929">12</WORD>
<WORD coords="2503,1931,2700,1894,1930">meses</WORD>
<WORD coords="2734,1944,2750,1918,1936">,</WORD>
<WORD coords="2795,1929,2873,1873,1929">de</WORD>
<WORD coords="2907,1928,3062,1874,1926">don-</WORD>
</LINE>
<LINE>
<WORD coords="695,2022,779,1964,2022">de</WORD>
<WORD coords="835,2023,1103,1966,2022">resultan</WORD>
<WORD coords="1169,2025,1327,1974,2025">1000</WORD>
<WORD coords="1387,2045,1564,1989,2026">pesos</WORD>
<WORD coords="1618,2048,1832,1986,2029">puesta</WORD>
<WORD coords="1888,2031,1987,1976,2031">del</WORD>
<WORD coords="2044,2052,2313,1978,2033">primero</WORD>
<WORD coords="2365,2036,2440,2000,2035">en</WORD>
<WORD coords="2491,2038,2570,2001,2037">un</WORD>
<WORD coords="2619,2036,2747,1998,2035">mes</WORD>
<WORD coords="2783,2048,2800,2023,2048">,</WORD>
<WORD coords="2825,2055,2864,1999,2045">y</WORD>
<WORD coords="2898,2036,3064,1984,2035">4080</WORD>
</LINE>
<LINE>
<WORD coords="696,2150,882,2088,2127">pesos</WORD>
<WORD coords="938,2149,1151,2084,2129">puesta</WORD>
<WORD coords="1197,2131,1296,2074,2130">del</WORD>
<WORD coords="1335,2153,1616,2077,2132">segundo</WORD>
<WORD coords="1668,2135,1741,2099,2135">en</WORD>
<WORD coords="1800,2137,1854,2081,2136">el</WORD>
<WORD coords="1912,2139,2136,2083,2138">mismo</WORD>
<WORD coords="2195,2142,2343,2104,2140">mes.</WORD>
<WORD coords="2443,2163,2725,2085,2142">Después</WORD>
<WORD coords="2761,2142,2939,2105,2141">sumo</WORD>
<WORD coords="2974,2142,3062,2087,2140">las</WORD>
</LINE>
<LINE>
<WORD coords="699,2260,991,2188,2233">puestas,</WORD>
<WORD coords="1026,2233,1084,2180,2232">lo</WORD>
<WORD coords="1115,2250,1233,2198,2235">que</WORD>
<WORD coords="1284,2237,1382,2199,2236">me</WORD>
<WORD coords="1442,2237,1517,2183,2236">da</WORD>
<WORD coords="1564,2240,1725,2191,2239">5080</WORD>
<WORD coords="1757,2256,1772,2230,2256">,</WORD>
<WORD coords="1804,2259,1840,2206,2259">y</WORD>
<WORD coords="1875,2266,2031,2190,2243">hago</WORD>
<WORD coords="2083,2247,2168,2190,2245">las</WORD>
<WORD coords="2226,2265,2659,2191,2247">proporciones</WORD>
<WORD coords="2695,2269,3058,2192,2247">siguientes*</WORD>
</LINE>
<LINE>
<WORD coords="861,2342,1027,2293,2343">5080</WORD>
<WORD coords="1071,2347,1087,2311,2349">:</WORD>
<WORD coords="1137,2344,1253,2292,2345">635</WORD>
<WORD coords="1304,2345,1344,2312,2342">:•</WORD>
<WORD coords="1394,2347,1552,2296,2347">1000</WORD>
<WORD coords="1588,2346,1600,2311,2348">:</WORD>
<WORD coords="1650,2349,1693,2312,2349">x</WORD>
<WORD coords="1736,2348,1841,2310,2349">=</WORD>
<WORD coords="1892,2354,2002,2305,2353">125</WORD>
<WORD coords="2043,2376,2217,2309,2355">pesos</WORD>
<WORD coords="2253,2371,2270,2345,2371">,</WORD>
<WORD coords="2306,2377,2571,2321,2356">ganane.</WORD>
<WORD coords="2618,2356,2716,2301,2355">del</WORD>
<WORD coords="2750,2355,2797,2306,2353">í.</WORD>
<WORD coords="2826,2331,2864,2301,2331">°</WORD>
</LINE>
<LINE>
<WORD coords="855,2453,1023,2398,2452">5080</WORD>
<WORD coords="1067,2454,1087,2417,2454">i</WORD>
<WORD coords="1132,2454,1251,2398,2454">635</WORD>
<WORD coords="1292,2456,1340,2416,2456">;s</WORD>
<WORD coords="1385,2455,1550,2403,2455">4080</WORD>
<WORD coords="1593,2460,1608,2421,2459">:</WORD>
<WORD coords="1656,2459,1698,2420,2459">x</WORD>
<WORD coords="1743,2456,1845,2440,2457">™</WORD>
<WORD coords="1891,2460,2011,2412,2459">510</WORD>
<WORD coords="2046,2483,2224,2416,2461">pesos</WORD>
<WORD coords="2248,2479,2268,2397,2479">\</WORD>
<WORD coords="2301,2483,2570,2426,2463">gananc.</WORD>
<WORD coords="2618,2466,2717,2405,2463">del</WORD>
<WORD coords="2740,2464,2796,2413,2461">2&gt;</WORD>
<WORD coords="2825,2438,2865,2406,2438">°</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1393,2642,1707,2580,2639">REGLA</WORD>
<WORD coords="1764,2642,1883,2584,2641">DE</WORD>
<WORD coords="1936,2646,2361,2581,2640">INTERES,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="774,2816,915,2760,2815">184.</WORD>
<WORD coords="1006,2815,1083,2756,2814">Se</WORD>
<WORD coords="1114,2816,1291,2755,2815">llama</WORD>
<WORD coords="1335,2816,1560,2769,2815">ínteres</WORD>
<WORD coords="1592,2842,1826,2764,2819">aquella</WORD>
<WORD coords="1869,2822,2159,2764,2819">cantidad</WORD>
<WORD coords="2194,2845,2304,2785,2822">que</WORD>
<WORD coords="2347,2823,2410,2787,2822">se</WORD>
<WORD coords="2441,2823,2578,2762,2821">debe</WORD>
<WORD coords="2602,2847,2806,2775,2824">pagar</WORD>
<WORD coords="2853,2823,2889,2784,2823">a</WORD>
<WORD coords="2920,2828,3047,2786,2825">mas</WORD>
</LINE>
<LINE>
<WORD coords="680,2925,782,2863,2920">¿el</WORD>
<WORD coords="826,2943,1149,2866,2921">principal</WORD>
<WORD coords="1175,2939,1194,2911,2939">,</WORD>
<WORD coords="1238,2947,1351,2887,2924">que</WORD>
<WORD coords="1409,2926,1532,2888,2924">una</WORD>
<WORD coords="1584,2946,1846,2886,2925">persona</WORD>
<WORD coords="1902,2929,1981,2873,2929">ha</WORD>
<WORD coords="2040,2931,2270,2874,2929">tomado</WORD>
<WORD coords="2324,2952,2440,2888,2932">por</WORD>
<WORD coords="2484,2935,2586,2896,2934">vía</WORD>
<WORD coords="2637,2931,2706,2877,2930">de</WORD>
<WORD coords="2782,2951,3044,2891,2930">emprés-</WORD>
</LINE>
<LINE>
<WORD coords="678,3033,796,2976,3030">tito</WORD>
<WORD coords="848,3029,920,2975,3029">de</WORD>
<WORD coords="962,3029,1116,2982,3026">otra.</WORD>
<WORD coords="1214,3030,1334,2975,3029">Por</WORD>
<WORD coords="1393,3032,1452,2976,3031">lo</WORD>
<WORD coords="1511,3035,1737,2995,3032">común</WORD>
<WORD coords="1797,3034,1860,2998,3033">se</WORD>
<WORD coords="1918,3056,2107,2999,3034">pagan</WORD>
<WORD coords="2170,3037,2205,2989,3037">5</WORD>
<WORD coords="2254,3055,2427,3003,3038">pesos</WORD>
<WORD coords="2491,3061,2599,3004,3041">por</WORD>
<WORD coords="2644,3041,2793,2984,3039">cada</WORD>
<WORD coords="2856,3037,2972,2988,3036">100</WORD>
<WORD coords="3004,3039,3047,2981,3039">ó</WORD>
</LINE>
<LINE>
<WORD coords="675,3136,738,3082,3134">el</WORD>
<WORD coords="797,3135,831,3088,3138">5</WORD>
<WORD coords="886,3153,993,3100,3136">por</WORD>
<WORD coords="1060,3166,1115,3076,3149">|-</WORD>
<WORD coords="1145,3155,1164,3124,3155">,</WORD>
<WORD coords="1216,3160,1256,3104,3151">y</WORD>
<WORD coords="1316,3142,1390,3101,3141">en</WORD>
<WORD coords="1445,3140,1497,3084,3139">el</WORD>
<WORD coords="1549,3140,1861,3086,3139">comercio</WORD>
<WORD coords="1917,3143,1970,3087,3141">el</WORD>
<WORD coords="2027,3141,2084,3091,3141">6.</WORD>
<WORD coords="2179,3144,2270,3089,3144">La</WORD>
<WORD coords="2317,3166,2484,3092,3144">regla</WORD>
<WORD coords="2540,3164,2662,3111,3148">que</WORD>
<WORD coords="2723,3146,2946,3092,3142">enseña</WORD>
<WORD coords="2997,3145,3033,3087,3145">i</WORD>
</LINE>
<LINE>
<WORD coords="676,3245,1060,3184,3242">determinar</WORD>
<WORD coords="1116,3247,1243,3202,3245">este</WORD>
<WORD coords="1287,3252,1514,3190,3245">interés</WORD>
<WORD coords="1551,3263,1566,3236,3256">,</WORD>
<WORD coords="1597,3248,1755,3189,3247">dado</WORD>
<WORD coords="1811,3248,1865,3192,3247">el</WORD>
<WORD coords="1918,3268,2136,3193,3249">capital</WORD>
<WORD coords="2189,3272,2230,3216,3261">y</WORD>
<WORD coords="2276,3251,2327,3197,3251">el</WORD>
<WORD coords="2363,3256,2587,3198,3253">ínteres</WORD>
<WORD coords="2651,3271,2756,3216,3251">por</WORD>
<WORD coords="2913,3272,2930,3249,3266">,</WORD>
<WORD coords="2962,3260,3030,3222,3257">se</WORD>
</LINE>
<LINE>
<WORD coords="671,3361,812,3297,3347">^Jice</WORD>
<WORD coords="864,3370,1035,3294,3348">regla,</WORD>
<WORD coords="1091,3352,1160,3297,3352">de</WORD>
<WORD coords="1233,3357,1480,3307,3353">ínteres.</WORD>
<WORD coords="1577,3362,1648,3300,3357">El</WORD>
<WORD coords="1697,3360,1922,3298,3355">interés</WORD>
<WORD coords="1974,3375,2093,3321,3356">que</WORD>
<WORD coords="2148,3358,2211,3323,3357">se</WORD>
<WORD coords="2271,3359,2424,3302,3358">debe</WORD>
<WORD coords="2493,3380,2678,3324,3359">pagar</WORD>
<WORD coords="2731,3379,2831,3329,3363">pot</WORD>
<WORD coords="2902,3370,3036,3314,3365">sol©</WORD>
</LINE>
<LINE>
<WORD coords="669,3454,729,3398,3451">el</WORD>
<WORD coords="791,3470,1086,3398,3453">principal</WORD>
<WORD coords="1118,3472,1136,3445,3467">,</WORD>
<WORD coords="1168,3461,1229,3423,3459">se</WORD>
<WORD coords="1268,3464,1447,3403,3459">llama</WORD>
<WORD coords="1498,3463,1726,3406,3460">interés</WORD>
<WORD coords="1787,3485,1999,3407,3461">simple</WORD>
<WORD coords="2032,3469,2047,3430,3469">;</WORD>
<WORD coords="2110,3482,2257,3425,3462">pero</WORD>
<WORD coords="2304,3464,2367,3430,3463">se</WORD>
<WORD coords="2409,3467,2545,3409,3464">dice</WORD>
<WORD coords="2603,3469,2832,3414,3465">interés</WORD>
<WORD coords="2884,3471,3039,3432,3469">com-</WORD>
</LINE>
<LINE>
<WORD coords="661,3586,886,3512,3556">puesto</WORD>
<WORD coords="919,3573,937,3547,3571">,</WORD>
<WORD coords="978,3562,1036,3508,3561">el</WORD>
<WORD coords="1112,3580,1232,3526,3564">que</WORD>
<WORD coords="1295,3571,1359,3530,3568">se</WORD>
<WORD coords="1417,3568,1572,3511,3567">debe</WORD>
<WORD coords="1628,3591,1815,3533,3570">pagar</WORD>
<WORD coords="1865,3590,1975,3534,3570">por</WORD>
<WORD coords="2049,3570,2104,3515,3569">el</WORD>
<WORD coords="2160,3587,2383,3515,3569">capital</WORD>
<WORD coords="2428,3592,2467,3536,3590">y</WORD>
<WORD coords="2530,3589,2638,3537,3572">por</WORD>
<WORD coords="2685,3577,2740,3527,3576">el</WORD>
<WORD coords="2811,3591,3042,3522,3581">interés</WORD>
</LINE>
<LINE>
<WORD coords="665,3686,796,3626,3665">que</WORD>
<WORD coords="857,3666,936,3629,3665">no</WORD>
<WORD coords="995,3668,1059,3631,3667">se</WORD>
<WORD coords="1105,3691,1262,3619,3667">pagó</WORD>
<WORD coords="1298,3688,1315,3660,3682">,</WORD>
<WORD coords="1365,3676,1665,3619,3674">entrando</WORD>
<WORD coords="1721,3679,1847,3633,3678">este</WORD>
<WORD coords="1904,3679,1977,3641,3679">en</WORD>
<WORD coords="2025,3678,2079,3621,3676">el</WORD>
<WORD coords="2130,3679,2355,3623,3676">mismo</WORD>
<WORD coords="2401,3695,2648,3631,3679">capital.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="928,3774,1149,3714,3770">Probie</WORD>
<WORD coords="1174,3776,1272,3741,3775">na.</WORD>
<WORD coords="1377,3781,1550,3722,3778">Dado</WORD>
<WORD coords="1604,3780,1661,3728,3779">el</WORD>
<WORD coords="1701,3804,1930,3729,3782">capital</WORD>
<WORD coords="1958,3798,1972,3773,3791">,</WORD>
<WORD coords="2003,3784,2058,3727,3784">el</WORD>
<WORD coords="2113,3784,2339,3738,3781">infere?</WORD>
<WORD coords="2391,3806,2507,3741,3783">por</WORD>
<WORD coords="2560,3791,2753,3732,3788">ciento</WORD>
<WORD coords="2803,3793,2868,3733,3792">al</WORD>
<WORD coords="2915,3798,3037,3734,3795">año</WORD>
</LINE>
<LINE>
<WORD coords="665,3903,715,3837,3896">y</WORD>
<WORD coords="757,3880,814,3819,3880">d</WORD>
<WORD coords="848,3887,1092,3839,3881">numero</WORD>
<WORD coords="1142,3883,1216,3827,3883">&lt;k</WORD>
<WORD coords="1262,3891,1418,3845,3888">anos</WORD>
<WORD coords="1441,3905,1460,3872,3905">t</WORD>
<WORD coords="1505,3894,1705,3830,3890">hallar</WORD>
<WORD coords="1760,3892,1818,3835,3891">el</WORD>
<WORD coords="1863,3897,2100,3833,3893">interés</WORD>
<WORD coords="2144,3895,2297,3843,3893">total</WORD>
<WORD coords="2354,3920,2592,3850,3894">simp¿e.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0152.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0153.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0153.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1336,406,1550,300,403">143</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="226,451,229,422,456">¡</WORD>
<WORD coords="260,460,300,408,460">W</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="445,519,471,466,519">t</WORD>
<WORD coords="501,529,884,467,526">Resolución»</WORD>
<WORD coords="976,540,1457,467,521">Multipliqúese</WORD>
<WORD coords="1519,522,1574,467,521">el</WORD>
<WORD coords="1633,520,1855,467,517">ínteres</WORD>
<WORD coords="1879,534,1893,512,534">,</WORD>
<WORD coords="1928,538,2044,485,521">que</WORD>
<WORD coords="2093,523,2155,487,523">*e</WORD>
<WORD coords="2189,520,2261,467,520">da</WORD>
<WORD coords="2300,537,2409,486,521">por</WORD>
<WORD coords="2442,527,2608,471,523">cien,</WORD>
</LINE>
<LINE>
<WORD coords="249,648,352,588,637">to,</WORD>
<WORD coords="415,652,539,590,631">por&quot;*</WORD>
<WORD coords="578,633,634,574,632">el</WORD>
<WORD coords="691,634,950,595,632">numero</WORD>
<WORD coords="1001,629,1082,576,629">de</WORD>
<WORD coords="1133,629,1279,578,627">años</WORD>
<WORD coords="1338,647,1453,594,627">que</WORD>
<WORD coords="1504,631,1620,570,629">lian</WORD>
<WORD coords="1672,631,1916,571,629">corrido</WORD>
<WORD coords="1943,647,1970,593,638">;</WORD>
<WORD coords="1994,629,2048,572,628">el</WORD>
<WORD coords="2102,646,2400,576,629">producto</WORD>
<WORD coords="2454,634,2610,581,633">mul-</WORD>
</LINE>
<LINE>
<WORD coords="253,758,594,685,739">tipliqúese</WORD>
<WORD coords="652,757,759,701,737">por</WORD>
<WORD coords="814,739,873,682,738">el</WORD>
<WORD coords="919,753,1139,680,736">capital</WORD>
<WORD coords="1172,752,1189,725,752">,</WORD>
<WORD coords="1232,756,1270,698,746">y</WORD>
<WORD coords="1327,735,1402,680,734">de</WORD>
<WORD coords="1464,737,1590,691,734">este</WORD>
<WORD coords="1655,754,1953,679,733">producto</WORD>
<WORD coords="2034,746,2355,682,732">sepárense</WORD>
<WORD coords="2407,737,2483,681,737">de</WORD>
<WORD coords="2554,741,2610,686,741">U</WORD>
</LINE>
<LINE>
<WORD coords="252,848,521,788,845">derecha</WORD>
<WORD coords="576,844,688,789,842">dos</WORD>
<WORD coords="735,865,1084,788,842">guarismos</WORD>
<WORD coords="1119,854,1135,808,847">;</WORD>
<WORD coords="1180,841,1235,788,840">el</WORD>
<WORD coords="1291,859,1607,784,839">qutb-iado</WORD>
<WORD coords="1665,841,1930,784,840">decimal</WORD>
<WORD coords="2010,860,2224,784,838">propio</WORD>
<WORD coords="2280,842,2320,786,842">ó</WORD>
<WORD coords="2378,864,2607,789,843">impio-</WORD>
</LINE>
<LINE>
<WORD coords="252,975,355,898,952">pio</WORD>
<WORD coords="389,968,405,939,968">,</WORD>
<WORD coords="455,970,574,915,949">que</WORD>
<WORD coords="633,950,859,895,947">resulte</WORD>
<WORD coords="888,961,906,935,954">,</WORD>
<WORD coords="952,948,1091,910,946">sera</WORD>
<WORD coords="1137,947,1194,892,946">el</WORD>
<WORD coords="1246,946,1470,892,943">interés</WORD>
<WORD coords="1526,945,1676,894,944">total</WORD>
<WORD coords="1738,962,1996,892,946">pedido.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="491,1058,791,1001,1055">Cuestión</WORD>
<WORD coords="857,1057,908,1008,1055">§«</WORD>
<WORD coords="931,1034,969,997,1033">58</WORD>
<WORD coords="1056,1056,1160,997,1054">Un</WORD>
<WORD coords="1206,1053,1513,996,1050">individuo</WORD>
<WORD coords="1561,1050,1591,1003,1051">3</WORD>
<WORD coords="1651,1053,1800,992,1052">años</WORD>
<WORD coords="1855,1054,1934,1001,1054">ha</WORD>
<WORD coords="1966,1065,1980,1046,1065">,</WORD>
<WORD coords="2013,1078,2125,1017,1054">que</WORD>
<WORD coords="2181,1061,2380,1009,1054">presto</WORD>
<WORD coords="2438,1058,2604,1006,1056">2700</WORD>
</LINE>
<LINE>
<WORD coords="228,1189,407,1118,1164">pesos</WORD>
<WORD coords="454,1166,517,1108,1164">al</WORD>
<WORD coords="569,1162,602,1116,1162">5</WORD>
<WORD coords="658,1181,773,1115,1157">por</WORD>
<WORD coords="814,1150,870,1101,1153">-2</WORD>
<WORD coords="915,1143,927,1131,1151">.</WORD>
<WORD coords="983,1184,1078,1102,1159">¿A</WORD>
<WORD coords="1136,1158,1353,1113,1156">cuanto</WORD>
<WORD coords="1418,1159,1741,1113,1157">montaran</WORD>
<WORD coords="1792,1158,1875,1108,1157">los</WORD>
<WORD coords="1932,1162,2267,1107,1158">intereses?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="493,1287,866,1213,1269">Multiplica:</WORD>
<WORD coords="885,1270,917,1217,1269">é</WORD>
<WORD coords="969,1266,1002,1218,1267">3</WORD>
<WORD coords="1062,1285,1167,1230,1267">por</WORD>
<WORD coords="1210,1272,1291,1218,1269">5.</WORD>
<WORD coords="1321,1284,1358,1228,1276">y</WORD>
<WORD coords="1405,1265,1461,1211,1264">el</WORD>
<WORD coords="1519,1282,1820,1214,1264">producto</WORD>
<WORD coords="1885,1267,1955,1218,1267">15</WORD>
<WORD coords="2009,1282,2416,1213,1267">multiplicaré</WORD>
<WORD coords="2492,1286,2602,1232,1269">por</WORD>
</LINE>
<LINE>
<WORD coords="239,1388,455,1323,1380">2700,</WORD>
<WORD coords="518,1396,557,1340,1385">y</WORD>
<WORD coords="612,1375,689,1321,1375">de</WORD>
<WORD coords="735,1375,865,1329,1374">este</WORD>
<WORD coords="942,1392,1296,1319,1371">producto,</WORD>
<WORD coords="1342,1388,1458,1335,1370">que</WORD>
<WORD coords="1518,1369,1581,1336,1369">es</WORD>
<WORD coords="1639,1385,1884,1322,1374">40500,</WORD>
<WORD coords="1946,1391,2164,1336,1371">separo</WORD>
<WORD coords="2210,1378,2321,1340,1376">con</WORD>
<WORD coords="2384,1382,2436,1330,1381">la</WORD>
<WORD coords="2497,1380,2597,1345,1379">co.</WORD>
</LINE>
<LINE>
<WORD coords="244,1481,337,1441,1480">ma</WORD>
<WORD coords="394,1481,483,1425,1480">los</WORD>
<WORD coords="541,1481,652,1429,1480">dos</WORD>
<WORD coords="709,1481,882,1444,1479">ceros</WORD>
<WORD coords="917,1500,934,1449,1491">;</WORD>
<WORD coords="995,1479,1049,1425,1478">lo</WORD>
<WORD coords="1111,1491,1227,1442,1476">que</WORD>
<WORD coords="1281,1476,1376,1440,1475">me</WORD>
<WORD coords="1432,1476,1509,1420,1475">da</WORD>
<WORD coords="1589,1477,1706,1428,1478">405</WORD>
<WORD coords="1764,1494,1939,1442,1477">pesos</WORD>
<WORD coords="2001,1479,2076,1424,1478">de</WORD>
<WORD coords="2139,1489,2363,1424,1482">ínteres</WORD>
<WORD coords="2397,1506,2414,1481,1506">,</WORD>
<WORD coords="2471,1518,2597,1459,1499">q.ue</WORD>
</LINE>
<LINE>
<WORD coords="237,1608,585,1531,1586">agregados</WORD>
<WORD coords="647,1587,703,1532,1586">al</WORD>
<WORD coords="755,1605,974,1530,1585">capitai</WORD>
<WORD coords="1032,1586,1199,1534,1585">2700</WORD>
<WORD coords="1226,1600,1247,1571,1594">,</WORD>
<WORD coords="1304,1584,1368,1547,1584">se</WORD>
<WORD coords="1423,1585,1690,1527,1583">deberán</WORD>
<WORD coords="1746,1586,1962,1529,1584">cobrar</WORD>
<WORD coords="2010,1586,2166,1535,1586">3105</WORD>
<WORD coords="2217,1610,2325,1555,1595">por</WORD>
<WORD coords="2378,1624,2606,1549,1605">capital</WORD>
</LINE>
<LINE>
<WORD coords="236,1715,274,1655,1714">y</WORD>
<WORD coords="339,1714,689,1638,1692">gananeias.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="492,1804,988,1745,1801">Demostración.</WORD>
<WORD coords="1091,1802,1245,1746,1800">Para</WORD>
<WORD coords="1301,1823,1490,1764,1799">pagar</WORD>
<WORD coords="1549,1802,1584,1752,1802">5</WORD>
<WORD coords="1640,1821,1820,1764,1801">pesos</WORD>
<WORD coords="1876,1822,1989,1764,1803">por</WORD>
<WORD coords="2059,1803,2209,1747,1802">cada</WORD>
<WORD coords="2283,1810,2399,1759,1809">100</WORD>
<WORD coords="2469,1835,2545,1782,1827">q^</WORD>
<WORD coords="2556,1825,2592,1786,1825">Q</WORD>
</LINE>
<LINE>
<WORD coords="236,1927,394,1847,1906">haya</WORD>
<WORD coords="449,1906,521,1870,1906">en</WORD>
<WORD coords="572,1907,626,1852,1906">el</WORD>
<WORD coords="684,1927,905,1853,1907">capitai</WORD>
<WORD coords="956,1908,1119,1854,1907">2700</WORD>
<WORD coords="1153,1922,1171,1896,1916">,</WORD>
<WORD coords="1224,1906,1288,1872,1906">es</WORD>
<WORD coords="1337,1907,1655,1854,1906">necesario</WORD>
<WORD coords="1711,1930,2039,1853,1908">averiguar</WORD>
<WORD coords="2079,1924,2348,1857,1912">primero</WORD>
<WORD coords="2417,1929,2603,1886,1925">cuan-</WORD>
</LINE>
<LINE>
<WORD coords="240,2012,337,1968,2010">tos</WORD>
<WORD coords="399,2011,630,1956,2010">cientos</WORD>
<WORD coords="687,2032,807,1955,2010">hay</WORD>
<WORD coords="871,2012,943,1977,2011">en</WORD>
<WORD coords="1003,2012,1188,1955,2011">dicho</WORD>
<WORD coords="1245,2032,1461,1958,2012">capital</WORD>
<WORD coords="1500,2030,1514,1981,2023">j</WORD>
<WORD coords="1574,2014,1633,1959,2013">lo</WORD>
<WORD coords="1683,2031,1801,1978,2015">que</WORD>
<WORD coords="1852,2017,1918,1979,2015">se</WORD>
<WORD coords="1971,2038,2264,1960,2016">consigue</WORD>
<WORD coords="2317,2045,2462,1975,2035">(75)</WORD>
<WORD coords="2499,2037,2598,1979,2035">di-</WORD>
</LINE>
<LINE>
<WORD coords="240,2119,541,2060,2116">vidiendo</WORD>
<WORD coords="605,2119,767,2068,2119">2700</WORD>
<WORD coords="817,2135,923,2080,2116">por</WORD>
<WORD coords="1006,2125,1165,2069,2120">100,</WORD>
<WORD coords="1238,2119,1276,2065,2121">ó</WORD>
<WORD coords="1346,2139,1752,2067,2119">separándole</WORD>
<WORD coords="1804,2121,1915,2083,2119">con</WORD>
<WORD coords="1978,2122,2032,2068,2122">ía</WORD>
<WORD coords="2092,2124,2263,2085,2122">coma</WORD>
<WORD coords="2335,2151,2602,2079,2138">decimal</WORD>
</LINE>
<LINE>
<WORD coords="238,2224,353,2168,2223">dos</WORD>
<WORD coords="412,2224,585,2187,2223">ceros</WORD>
<WORD coords="644,2225,720,2171,2224">de</WORD>
<WORD coords="781,2224,834,2170,2224">la</WORD>
<WORD coords="878,2226,1146,2170,2225">derecha</WORD>
<WORD coords="1183,2241,1197,2216,2241">,</WORD>
<WORD coords="1240,2246,1279,2192,2237">y</WORD>
<WORD coords="1333,2229,1560,2173,2226">resulta</WORD>
<WORD coords="1621,2240,1812,2178,2231">27,00</WORD>
<WORD coords="1884,2249,2052,2174,2229">igual</WORD>
<WORD coords="2100,2229,2153,2176,2228">al</WORD>
<WORD coords="2208,2242,2466,2198,2238">numero</WORD>
<WORD coords="2520,2251,2604,2194,2249">de</WORD>
</LINE>
<LINE>
<WORD coords="239,2330,478,2274,2328">cientos</WORD>
<WORD coords="538,2348,654,2295,2329">que</WORD>
<WORD coords="706,2333,1058,2274,2328">buscamos.</WORD>
<WORD coords="1155,2331,1305,2276,2330">Este</WORD>
<WORD coords="1370,2332,1629,2296,2330">numero</WORD>
<WORD coords="1704,2335,1860,2278,2333">debe</WORD>
<WORD coords="1919,2335,2106,2280,2334">ahora</WORD>
<WORD coords="2145,2362,2603,2273,2345">&apos;multiplicarse</WORD>
</LINE>
<LINE>
<WORD coords="244,2454,354,2396,2432">por</WORD>
<WORD coords="410,2434,463,2383,2433">el</WORD>
<WORD coords="527,2435,754,2380,2433">interés</WORD>
<WORD coords="815,2436,850,2386,2438">5</WORD>
<WORD coords="886,2452,902,2423,2436">,</WORD>
<WORD coords="921,2437,991,2380,2437">To</WORD>
<WORD coords="1050,2456,1168,2399,2440">que</WORD>
<WORD coords="1228,2438,1303,2383,2437">da</WORD>
<WORD coords="1350,2449,1568,2389,2441">27,00</WORD>
<WORD coords="1614,2451,1677,2386,2451">X</WORD>
<WORD coords="1748,2437,1781,2392,2437">5</WORD>
<WORD coords="1844,2441,2076,2385,2440">ínteres</WORD>
<WORD coords="2139,2443,2216,2386,2442">de</WORD>
<WORD coords="2271,2449,2351,2413,2448">un</WORD>
<WORD coords="2411,2471,2582,2403,2454">año;</WORD>
</LINE>
<LINE>
<WORD coords="240,2559,386,2503,2539">pero</WORD>
<WORD coords="436,2540,525,2488,2539">los</WORD>
<WORD coords="593,2542,741,2489,2540">años</WORD>
<WORD coords="798,2543,906,2507,2542">son</WORD>
<WORD coords="982,2559,1039,2494,2553">3,</WORD>
<WORD coords="1120,2566,1301,2494,2544">luego</WORD>
<WORD coords="1358,2544,1413,2491,2543">el</WORD>
<WORD coords="1467,2546,1694,2491,2544">interés</WORD>
<WORD coords="1734,2546,1809,2491,2545">de</WORD>
<WORD coords="1859,2547,1937,2510,2547">un</WORD>
<WORD coords="1992,2548,2111,2496,2547">año</WORD>
<WORD coords="2182,2552,2247,2516,2551">se</WORD>
<WORD coords="2299,2559,2451,2499,2556">debe</WORD>
<WORD coords="2503,2562,2600,2517,2561">to-</WORD>
</LINE>
<LINE>
<WORD coords="235,2648,368,2609,2646">mar</WORD>
<WORD coords="419,2648,549,2605,2647">tres</WORD>
<WORD coords="607,2650,786,2613,2648">veces</WORD>
<WORD coords="815,2666,833,2638,2666">,</WORD>
<WORD coords="887,2671,994,2614,2651">por</WORD>
<WORD coords="1044,2650,1100,2596,2650">lo</WORD>
<WORD coords="1156,2670,1276,2616,2651">que</WORD>
<WORD coords="1333,2651,1409,2602,2651">37</WORD>
<WORD coords="1447,2667,1463,2641,2660">,</WORD>
<WORD coords="1493,2652,1575,2604,2652">00</WORD>
<WORD coords="1625,2672,1694,2615,2672">x</WORD>
<WORD coords="1773,2658,2013,2602,2658">5X3</WORD>
<WORD coords="2085,2655,2218,2618,2654">sera</WORD>
<WORD coords="2262,2659,2316,2604,2658">el</WORD>
<WORD coords="2370,2664,2489,2606,2662">inte</WORD>
<WORD coords="2499,2669,2601,2627,2667">rea</WORD>
</LINE>
<LINE>
<WORD coords="227,2752,403,2698,2750">total.</WORD>
<WORD coords="499,2770,674,2699,2754">Aquí</WORD>
<WORD coords="724,2756,1126,2700,2755">observamos</WORD>
<WORD coords="1182,2776,1300,2722,2757">que</WORD>
<WORD coords="1363,2757,1417,2702,2756">el</WORD>
<WORD coords="1463,2759,1728,2703,2757">decimal</WORD>
<WORD coords="1787,2762,1918,2706,2760">está</WORD>
<WORD coords="1994,2783,2429,2708,2764">multiplicado</WORD>
<WORD coords="2488,2790,2601,2731,2770">por</WORD>
</LINE>
<LINE>
<WORD coords="228,2857,263,2808,2861">5</WORD>
<WORD coords="311,2871,382,2807,2871">&gt;f</WORD>
<WORD coords="439,2856,469,2809,2861">3</WORD>
<WORD coords="507,2874,522,2847,2870">,</WORD>
<WORD coords="559,2860,597,2807,2863">ó</WORD>
<WORD coords="661,2880,770,2825,2860">por</WORD>
<WORD coords="814,2862,869,2808,2862">el</WORD>
<WORD coords="934,2880,1236,2807,2862">producto</WORD>
<WORD coords="1287,2883,1405,2829,2864">que</WORD>
<WORD coords="1465,2867,1694,2809,2864">resulta</WORD>
<WORD coords="1768,2866,1843,2809,2865">de</WORD>
<WORD coords="1903,2886,2284,2812,2868">multiplicar</WORD>
<WORD coords="2325,2874,2376,2822,2874">el</WORD>
<WORD coords="2427,2879,2597,2822,2878">ínte-</WORD>
</LINE>
<LINE>
<WORD coords="228,2964,329,2926,2963">res</WORD>
<WORD coords="386,2965,465,2910,2964">de</WORD>
<WORD coords="523,2967,676,2911,2965">cada</WORD>
<WORD coords="728,2968,930,2910,2966">ciento</WORD>
<WORD coords="990,2986,1099,2931,2966">por</WORD>
<WORD coords="1157,2967,1209,2915,2967">el</WORD>
<WORD coords="1257,2970,1515,2933,2968">numero</WORD>
<WORD coords="1572,2970,1647,2918,2970">de</WORD>
<WORD coords="1706,2972,1852,2918,2969">años</WORD>
<WORD coords="1882,2954,1899,2940,2962">•</WORD>
<WORD coords="1933,2989,1967,2937,2981">y</WORD>
<WORD coords="2028,2973,2208,2936,2972">como</WORD>
<WORD coords="2261,2994,2400,2942,2978">para</WORD>
<WORD coords="2435,2985,2590,2930,2983">mul-</WORD>
</LINE>
<LINE>
<WORD coords="228,3090,473,3013,3068">tiplicar</WORD>
<WORD coords="521,3075,857,3016,3072">decimales</WORD>
<WORD coords="907,3076,993,3037,3075">no</WORD>
<WORD coords="1044,3076,1108,3039,3075">se</WORD>
<WORD coords="1169,3076,1321,3020,3075">hace</WORD>
<WORD coords="1370,3076,1513,3040,3075">caso</WORD>
<WORD coords="1573,3076,1650,3022,3075">de</WORD>
<WORD coords="1711,3076,1764,3022,3076">ia</WORD>
<WORD coords="1819,3077,1995,3042,3076">coma</WORD>
<WORD coords="2032,3092,2048,3066,3086">,</WORD>
<WORD coords="2090,3080,2224,3024,3078">sino</WORD>
<WORD coords="2275,3098,2393,3050,3087">que</WORD>
<WORD coords="2444,3091,2593,3034,3089">des-</WORD>
</LINE>
<LINE>
<WORD coords="217,3194,370,3136,3172">pues</WORD>
<WORD coords="412,3175,488,3122,3174">de</WORD>
<WORD coords="531,3177,720,3121,3176">haber</WORD>
<WORD coords="764,3181,988,3126,3178">sacado</WORD>
<WORD coords="1045,3181,1102,3127,3180">el</WORD>
<WORD coords="1162,3192,1461,3125,3180">producto</WORD>
<WORD coords="1498,3195,1512,3172,3188">,</WORD>
<WORD coords="1548,3182,1613,3147,3181">se</WORD>
<WORD coords="1670,3198,1924,3146,3181">separan</WORD>
<WORD coords="1970,3184,2047,3130,3183">de</WORD>
<WORD coords="2116,3187,2243,3144,3186">e*te</WORD>
<WORD coords="2297,3191,2385,3134,3189">los</WORD>
<WORD coords="2447,3214,2596,3158,3196">gua-</WORD>
</LINE>
<LINE>
<WORD coords="222,3281,447,3224,3278">rismos</WORD>
<WORD coords="501,3286,841,3225,3282">decimales</WORD>
<WORD coords="901,3306,1021,3251,3287">que</WORD>
<WORD coords="1066,3289,1247,3230,3288">había</WORD>
<WORD coords="1290,3289,1369,3252,3288">en</WORD>
<WORD coords="1416,3290,1505,3238,3289">los</WORD>
<WORD coords="1566,3292,1833,3231,3289">factores</WORD>
<WORD coords="1872,3308,1891,3279,3308">%</WORD>
<WORD coords="1934,3295,2164,3246,3292">resulta</WORD>
<WORD coords="2222,3296,2279,3242,3296">lo</WORD>
<WORD coords="2336,3317,2451,3262,3299">que</WORD>
<WORD coords="2486,3303,2595,3246,3302">de-</WORD>
</LINE>
<LINE>
<WORD coords="214,3386,322,3326,3385">bía</WORD>
<WORD coords="385,3394,823,3330,3386">demostrarse.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="472,3499,729,3438,3494">Escolio.</WORD>
<WORD coords="827,3500,945,3444,3499">Por</WORD>
<WORD coords="995,3525,1162,3446,3502">regla</WORD>
<WORD coords="1210,3506,1285,3450,3505">de</WORD>
<WORD coords="1329,3505,1456,3459,3504">tres</WORD>
<WORD coords="1521,3507,1585,3470,3506">se</WORD>
<WORD coords="1642,3505,1878,3447,3504">sacaría</WORD>
<WORD coords="1935,3507,1995,3451,3507">el</WORD>
<WORD coords="2069,3510,2295,3452,3507">ínteres</WORD>
<WORD coords="2363,3512,2441,3457,3512">de</WORD>
<WORD coords="2509,3515,2592,3477,3515">\m</WORD>
</LINE>
<LINE>
<WORD coords="216,3598,339,3543,3596">año</WORD>
<WORD coords="372,3611,389,3585,3609">,</WORD>
<WORD coords="444,3602,752,3539,3599">haciendo</WORD>
<WORD coords="800,3607,929,3561,3604">esta</WORD>
<WORD coords="998,3625,1361,3556,3609">proporción</WORD>
<WORD coords="1404,3615,1420,3580,3612">:</WORD>
<WORD coords="1513,3610,1579,3556,3609">Si</WORD>
<WORD coords="1644,3611,1756,3562,3609">100</WORD>
<WORD coords="1813,3609,1886,3573,3608">en</WORD>
<WORD coords="1950,3612,1973,3568,3612">i</WORD>
<WORD coords="2050,3613,2169,3576,3612">ani</WORD>
<WORD coords="2227,3635,2441,3581,3616">ganan</WORD>
<WORD coords="2489,3617,2523,3573,3617">5</WORD>
<WORD coords="2555,3633,2573,3588,3633">;</WORD>
</LINE>
<LINE>
<WORD coords="228,3704,417,3653,3702">•2700</WORD>
<WORD coords="460,3707,681,3661,3706">cuanto</WORD>
<WORD coords="718,3730,1017,3673,3711">ganaran</WORD>
<WORD coords="1072,3717,1143,3680,3716">en</WORD>
<WORD coords="1197,3718,1249,3668,3716">el</WORD>
<WORD coords="1298,3717,1504,3665,3716">mismo</WORD>
<WORD coords="1559,3739,1834,3661,3716">tiempo?</WORD>
<WORD coords="1868,3740,1910,3680,3730">y</WORD>
<WORD coords="1960,3721,2055,3683,3720">me</WORD>
<WORD coords="2105,3722,2271,3665,3719">salen</WORD>
<WORD coords="2311,3723,2417,3674,3721">135</WORD>
<WORD coords="2469,3732,2566,3690,3722">pe-</WORD>
</LINE>
<LINE>
<WORD coords="217,3808,322,3770,3807">sos</WORD>
<WORD coords="379,3812,459,3755,3811">de</WORD>
<WORD coords="510,3833,779,3758,3814">ínteres,</WORD>
<WORD coords="827,3835,943,3783,3818">que</WORD>
<WORD coords="975,3839,1432,3767,3822">multiplicado</WORD>
<WORD coords="1480,3842,1591,3788,3822">por</WORD>
<WORD coords="1651,3821,1682,3774,3821">3</WORD>
<WORD coords="1730,3824,1880,3773,3823">años</WORD>
<WORD coords="1927,3846,1966,3791,3846">y</WORD>
<WORD coords="2006,3849,2318,3775,3824">agregado</WORD>
<WORD coords="2373,3829,2428,3777,3828">al</WORD>
<WORD coords="2487,3827,2583,3793,3826">ra-</WORD>
</LINE>
<LINE>
<WORD coords="212,3939,517,3861,3922">fiíaf,da</WORD>
<WORD coords="565,3926,631,3866,3925">ei</WORD>
<WORD coords="705,3928,936,3867,3926">mismo</WORD>
<WORD coords="978,3932,1296,3871,3930">resaltado</WORD>
<WORD coords="1364,3951,1487,3894,3930">c¿ue&gt;</WORD>
<WORD coords="1541,3935,1735,3890,3933">antes.</WORD>
<WORD coords="1825,3935,1905,3877,3934">Ll</WORD>
<WORD coords="1949,3939,2304,3879,3936">calculador</WORD>
<WORD coords="2361,3957,2587,3876,3933">ciejiiá</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0153.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0154.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0154.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1794,416,2012,326,416">144</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="728,545,781,485,545">d</WORD>
<WORD coords="820,540,1070,481,538">método</WORD>
<WORD coords="1117,557,1236,500,537">que</WORD>
<WORD coords="1265,536,1316,481,536">le</WORD>
<WORD coords="1353,553,1614,497,535">parezca</WORD>
<WORD coords="1660,536,1791,497,535">mas</WORD>
<WORD coords="1838,536,1982,480,535">fácil</WORD>
<WORD coords="2010,552,2032,524,538">,</WORD>
<WORD coords="2058,538,2354,479,537">atendida</WORD>
<WORD coords="2405,537,2462,480,536">la</WORD>
<WORD coords="2512,541,2812,490,538">cuestiot).</WORD>
<WORD coords="2864,544,3074,481,543">Cuba-</WORD>
</LINE>
<LINE>
<WORD coords="725,653,809,597,652">do</WORD>
<WORD coords="854,650,910,597,649">el</WORD>
<WORD coords="966,648,1190,593,647">interés</WORD>
<WORD coords="1238,648,1368,591,646">esté</WORD>
<WORD coords="1423,668,1607,589,645">fijado</WORD>
<WORD coords="1659,650,1690,590,649">á</WORD>
<WORD coords="1747,645,1882,601,644">otro</WORD>
<WORD coords="1932,652,2195,607,647">numero</WORD>
<WORD coords="2252,654,2557,588,646">diferente</WORD>
<WORD coords="2611,655,2715,589,646">4el</WORD>
<WORD coords="2756,651,2955,592,648">ciento</WORD>
<WORD coords="2985,665,3006,637,665">f</WORD>
<WORD coords="2994,652,3096,586,650">Ho</WORD>
</LINE>
<LINE>
<WORD coords="729,778,849,723,757">que</WORD>
<WORD coords="910,757,989,721,756">no</WORD>
<WORD coords="1046,757,1113,719,756">es</WORD>
<WORD coords="1171,756,1391,719,754">común</WORD>
<WORD coords="1421,770,1436,722,761">;</WORD>
<WORD coords="1471,753,1507,699,753">6</WORD>
<WORD coords="1561,760,1805,699,754">cuando</WORD>
<WORD coords="1859,753,1915,696,752">el</WORD>
<WORD coords="1964,773,2199,696,752">tiempo</WORD>
<WORD coords="2247,758,2315,716,752">.¡es</WORD>
<WORD coords="2355,753,2433,696,752">de</WORD>
<WORD coords="2478,754,2631,701,752">años</WORD>
<WORD coords="2680,773,2717,717,766">y</WORD>
<WORD coords="2766,759,2965,717,755">meses</WORD>
<WORD coords="3003,771,3019,744,766">,</WORD>
<WORD coords="3047,761,3090,724,761">o</WORD>
</LINE>
<LINE>
<WORD coords="728,865,806,809,865">de</WORD>
<WORD coords="850,864,999,828,861">anos</WORD>
<WORD coords="1056,884,1105,825,873">y</WORD>
<WORD coords="1160,862,1293,806,861">días</WORD>
<WORD coords="1328,875,1345,850,868">,</WORD>
<WORD coords="1381,861,1515,824,859">sera</WORD>
<WORD coords="1563,866,1692,824,862">mas</WORD>
<WORD coords="1745,890,2065,804,861">ventajoso</WORD>
<WORD coords="2129,862,2273,821,860">usar</WORD>
<WORD coords="2328,860,2406,802,860">de</WORD>
<WORD coords="2475,861,2532,802,860">la</WORD>
<WORD coords="2592,881,2763,804,859">regla</WORD>
<WORD coords="2817,862,2895,804,862">de</WORD>
<WORD coords="2941,880,3094,819,862">tres,</WORD>
</LINE>
<LINE>
<WORD coords="731,974,912,936,972">como</WORD>
<WORD coords="966,969,1033,934,969">se</WORD>
<WORD coords="1202,969,1275,932,967">en</WORD>
<WORD coords="1331,967,1382,914,965">la</WORD>
<WORD coords="1437,988,1745,911,965">siguiente</WORD>
<WORD coords="1773,968,1792,932,968">s</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="985,1079,1285,1019,1075">Cuestión</WORD>
<WORD coords="1329,1080,1387,1027,1078">%</WORD>
<WORD coords="1568,1074,1648,1017,1074">El</WORD>
<WORD coords="1694,1085,1700,1072,1085">:</WORD>
<WORD coords="1700,1092,1917,1016,1075">cqudal</WORD>
<WORD coords="1955,1079,2030,1017,1076">de</WORD>
<WORD coords="2067,1076,2192,1036,1075">una</WORD>
<WORD coords="2234,1076,2421,1018,1074">viuda</WORD>
<WORD coords="2468,1099,2582,1038,1075">que</WORD>
<WORD coords="2631,1075,2694,1036,1074">es</WORD>
<WORD coords="2745,1072,2818,1018,1071">de</WORD>
<WORD coords="2841,1076,2965,1024,1075">420</WORD>
<WORD coords="2990,1094,3093,1031,1079">pe-</WORD>
</LINE>
<LINE>
<WORD coords="742,1187,842,1148,1185">ses</WORD>
<WORD coords="877,1190,885,1179,1187">,</WORD>
<WORD coords="923,1184,1001,1128,1183">ha</WORD>
<WORD coords="1054,1183,1261,1126,1181">estado</WORD>
<WORD coords="1309,1182,1343,1136,1182">2</WORD>
<WORD coords="1393,1182,1548,1123,1180">años</WORD>
<WORD coords="1605,1181,1637,1132,1181">S</WORD>
<WORD coords="1673,1180,1857,1144,1179">meses</WORD>
<WORD coords="1904,1181,1967,1125,1180">al</WORD>
<WORD coords="2003,1182,2228,1126,1180">interés</WORD>
<WORD coords="2273,1180,2366,1126,1180">del</WORD>
<WORD coords="2416,1182,2449,1134,1182">5</WORD>
<WORD coords="2501,1205,2619,1137,1183">por</WORD>
<WORD coords="2666,1208,2721,1121,1192">-|</WORD>
<WORD coords="2769,1200,2789,1151,1191">;</WORD>
<WORD coords="2843,1182,2908,1145,1182">se</WORD>
<WORD coords="2940,1205,3087,1137,1182">pre-</WORD>
</LINE>
<LINE>
<WORD coords="728,1314,931,1245,1289">gunta</WORD>
<WORD coords="990,1313,1267,1232,1290">¿Cuanto</WORD>
<WORD coords="1315,1288,1570,1231,1285">cobrara</WORD>
<WORD coords="1627,1286,1697,1231,1286">de</WORD>
<WORD coords="1741,1286,1951,1231,1285">infere-</WORD>
<WORD coords="1971,1287,2032,1250,1287">es</WORD>
<WORD coords="2074,1307,2116,1250,1307">y</WORD>
<WORD coords="2169,1308,2399,1233,1286">capital</WORD>
<WORD coords="2420,1290,2442,1234,1290">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="936,1392,941,1382,1392">,</WORD>
<WORD coords="980,1398,1260,1340,1395">Buscaré</WORD>
<WORD coords="1305,1409,1571,1339,1392">primero</WORD>
<WORD coords="1620,1394,1670,1338,1392">el</WORD>
<WORD coords="1707,1393,1932,1338,1392">interés</WORD>
<WORD coords="1979,1394,2056,1338,1393">de</WORD>
<WORD coords="2101,1394,2180,1358,1393">un</WORD>
<WORD coords="2227,1395,2344,1343,1393">año</WORD>
<WORD coords="2389,1415,2503,1358,1394">por</WORD>
<WORD coords="2549,1397,2676,1352,1396">esta</WORD>
<WORD coords="2728,1416,3098,1336,1394">proporción</WORD>
</LINE>
<LINE>
<WORD coords="734,1512,854,1459,1507">100</WORD>
<WORD coords="904,1506,921,1472,1505">:</WORD>
<WORD coords="986,1505,1017,1458,1505">5</WORD>
<WORD coords="1090,1509,1133,1475,1506">::</WORD>
<WORD coords="1196,1502,1320,1452,1500">450</WORD>
<WORD coords="1368,1500,1378,1467,1500">:</WORD>
<WORD coords="1426,1500,1470,1464,1500">x</WORD>
<WORD coords="1521,1504,1618,1460,1503">tss</WORD>
<WORD coords="1662,1499,1732,1450,1499">21</WORD>
<WORD coords="1797,1514,1867,1463,1499">pe</WORD>
<WORD coords="1905,1502,1972,1463,1500">os</WORD>
<WORD coords="2004,1503,2019,1468,1503">;</WORD>
<WORD coords="2066,1516,2202,1464,1499">para</WORD>
<WORD coords="2250,1503,2445,1444,1501">hallar</WORD>
<WORD coords="2490,1503,2546,1447,1503">el</WORD>
<WORD coords="2607,1505,2831,1447,1503">interés</WORD>
<WORD coords="2879,1502,2956,1447,1502">de</WORD>
<WORD coords="3005,1499,3099,1445,1499">ios</WORD>
</LINE>
<LINE>
<WORD coords="732,1619,770,1569,1616">2</WORD>
<WORD coords="822,1614,973,1561,1611">¿ños</WORD>
<WORD coords="1036,1610,1070,1563,1610">5</WORD>
<WORD coords="1121,1614,1319,1573,1610">meses</WORD>
<WORD coords="1376,1631,1527,1551,1606">digo</WORD>
<WORD coords="1564,1609,1577,1575,1608">:</WORD>
<WORD coords="1626,1608,1691,1551,1607">Si</WORD>
<WORD coords="1735,1608,1860,1558,1608">420</WORD>
<WORD coords="1917,1621,2095,1570,1606">pesos</WORD>
<WORD coords="2153,1608,2224,1572,1607">en</WORD>
<WORD coords="2286,1610,2311,1561,1610">1</WORD>
<WORD coords="2366,1612,2483,1558,1608">año</WORD>
<WORD coords="2528,1635,2726,1574,1609">ganan</WORD>
<WORD coords="2757,1613,2831,1561,1612">21</WORD>
<WORD coords="2877,1625,2983,1571,1607">pes</WORD>
<WORD coords="3004,1619,3100,1569,1604">os;</WORD>
</LINE>
<LINE>
<WORD coords="729,1724,820,1668,1723">los</WORD>
<WORD coords="880,1721,1137,1662,1717">mismos</WORD>
<WORD coords="1217,1716,1444,1671,1714">cuanto</WORD>
<WORD coords="1503,1736,1760,1664,1714">ganarán</WORD>
<WORD coords="1809,1714,1887,1678,1714">en</WORD>
<WORD coords="1935,1715,1970,1667,1715">2</WORD>
<WORD coords="2020,1715,2168,1661,1714">años</WORD>
<WORD coords="2213,1716,2250,1667,1716">5</WORD>
<WORD coords="2298,1718,2497,1681,1717">meses</WORD>
<WORD coords="2531,1717,2551,1659,1717">?</WORD>
<WORD coords="2642,1736,2824,1661,1715">Hago</WORD>
<WORD coords="2869,1714,2924,1659,1713">la</WORD>
<WORD coords="2959,1726,3097,1673,1712">pro*</WORD>
</LINE>
<LINE>
<WORD coords="732,1849,985,1773,1825">porción</WORD>
<WORD coords="1040,1824,1063,1776,1824">1</WORD>
<WORD coords="1105,1825,1225,1765,1823">año</WORD>
<WORD coords="1274,1822,1288,1787,1822">:</WORD>
<WORD coords="1347,1822,1417,1773,1822">21</WORD>
<WORD coords="1474,1845,1608,1776,1820">pes,</WORD>
<WORD coords="1662,1830,1702,1787,1825">;:</WORD>
<WORD coords="1769,1824,1807,1774,1823">2</WORD>
<WORD coords="1856,1822,1954,1776,1822">óti.</WORD>
<WORD coords="2003,1846,2086,1765,1823">-|-</WORD>
<WORD coords="2154,1820,2188,1774,1820">5</WORD>
<WORD coords="2236,1825,2376,1786,1821">mes,</WORD>
<WORD coords="2548,1826,2595,1787,1826">x</WORD>
<WORD coords="2642,1818,2745,1783,1819">=</WORD>
<WORD coords="2805,1822,2882,1771,1821">50</WORD>
<WORD coords="2921,1840,3100,1774,1817">pesos</WORD>
</LINE>
<LINE>
<WORD coords="731,1957,772,1899,1944">y</WORD>
<WORD coords="820,1932,854,1882,1932">6</WORD>
<WORD coords="905,1935,1113,1874,1931">reales.</WORD>
<WORD coords="1211,1947,1380,1872,1924">Oigo</WORD>
<WORD coords="1438,1943,1588,1890,1925">po.es</WORD>
<WORD coords="1658,1944,1778,1890,1926">que</WORD>
<WORD coords="1849,1928,2101,1872,1925">cobrará</WORD>
<WORD coords="2158,1928,2235,1871,1927">de</WORD>
<WORD coords="2294,1928,2521,1873,1927">interés</WORD>
<WORD coords="2586,1928,2667,1880,1928">50</WORD>
<WORD coords="2735,1944,2910,1891,1925">pesos</WORD>
<WORD coords="2975,1924,3100,1867,1923">seis</WORD>
</LINE>
<LINE>
<WORD coords="728,2044,929,1988,2041">reales</WORD>
<WORD coords="965,2052,980,2026,2052">,</WORD>
<WORD coords="1044,2061,1162,2001,2037">que</WORD>
<WORD coords="1225,2038,1522,1977,2034">reunidos</WORD>
<WORD coords="1585,2038,1639,1977,2035">al</WORD>
<WORD coords="1696,2051,1919,1976,2033">capital</WORD>
<WORD coords="1979,2037,2229,1990,2034">montan</WORD>
<WORD coords="2277,2037,2401,1983,2036">470</WORD>
<WORD coords="2449,2057,2628,2000,2037">pesos</WORD>
<WORD coords="2673,2042,2710,1984,2039">£</WORD>
<WORD coords="2757,2037,2972,1977,2033">reales.</WORD>
</LINE>
<LINE>
<WORD coords="1585,2170,1822,2111,2167">Interes</WORD>
<WORD coords="1876,2189,2235,2121,2169">compuesta.</WORD>
</LINE>
<LINE>
<WORD coords="826,2310,963,2257,2306">185.</WORD>
<WORD coords="1054,2305,1376,2244,2301">Cuestión.</WORD>
<WORD coords="1426,2307,1547,2242,2299">Un,</WORD>
<WORD coords="1581,2316,1782,2241,2297">Ingles</WORD>
<WORD coords="1820,2318,2032,2252,2297">presto</WORD>
<WORD coords="2076,2299,2114,2263,2299">a</WORD>
<WORD coords="2155,2306,2238,2261,2303">un</WORD>
<WORD coords="2273,2324,2661,2243,2303">Arequipeño</WORD>
<WORD coords="2706,2301,2828,2248,2299">400</WORD>
<WORD coords="2852,2318,3029,2250,2294">pesos</WORD>
<WORD coords="3056,2293,3099,2251,2293">a</WORD>
</LINE>
<LINE>
<WORD coords="734,2418,928,2359,2413">rédito</WORD>
<WORD coords="970,2413,1068,2354,2411">del</WORD>
<WORD coords="1109,2409,1142,2360,2409">5</WORD>
<WORD coords="1198,2428,1316,2363,2405">por</WORD>
<WORD coords="1363,2420,1516,2356,2407">100,</WORD>
<WORD coords="1557,2404,1664,2367,2404">con</WORD>
<WORD coords="1717,2402,1774,2348,2401">la</WORD>
<WORD coords="1816,2405,2130,2348,2402">condición</WORD>
<WORD coords="2159,2405,2231,2349,2405">de</WORD>
<WORD coords="2272,2429,2384,2370,2406">que</WORD>
<WORD coords="2427,2408,2501,2371,2408">no</WORD>
<WORD coords="2549,2432,2838,2349,2408">pagando</WORD>
<WORD coords="2878,2407,2938,2346,2405">al</WORD>
<WORD coords="2979,2399,3102,2340,2398">año</WORD>
</LINE>
<LINE>
<WORD coords="729,2540,1076,2461,2517">cumplido,</WORD>
<WORD coords="1124,2513,1208,2460,2512">los</WORD>
<WORD coords="1260,2512,1491,2457,2510">réditos</WORD>
<WORD coords="1545,2511,1611,2475,2511">se</WORD>
<WORD coords="1670,2532,2034,2453,2512">refundirán</WORD>
<WORD coords="2099,2512,2170,2475,2511">en</WORD>
<WORD coords="2230,2512,2283,2459,2511">el</WORD>
<WORD coords="2347,2538,2578,2461,2514">capital</WORD>
<WORD coords="2600,2531,2616,2504,2531">,</WORD>
<WORD coords="2661,2539,3102,2451,2512">verificándose</WORD>
</LINE>
<LINE>
<WORD coords="729,2630,787,2572,2629">lo</WORD>
<WORD coords="844,2630,1049,2570,2625">mismo</WORD>
<WORD coords="1119,2621,1192,2583,2620">en</WORD>
<WORD coords="1250,2621,1341,2565,2619">los</WORD>
<WORD coords="1398,2618,1600,2562,2617">demás</WORD>
<WORD coords="1666,2619,1848,2578,2617">anos.</WORD>
<WORD coords="1936,2620,2012,2562,2619">Se</WORD>
<WORD coords="2070,2641,2381,2574,2620">pregunta</WORD>
<WORD coords="2458,2643,2711,2576,2620">¿cuanto</WORD>
<WORD coords="2750,2640,2998,2574,2618">pagara</WORD>
<WORD coords="3041,2616,3105,2554,2613">al</WORD>
</LINE>
<LINE>
<WORD coords="732,2739,878,2676,2736">cabo</WORD>
<WORD coords="928,2734,1001,2676,2732">de</WORD>
<WORD coords="1059,2728,1088,2679,2727">3</WORD>
<WORD coords="1145,2727,1296,2690,2726">anos</WORD>
<WORD coords="1341,2748,1460,2680,2724">por</WORD>
<WORD coords="1515,2746,1750,2670,2723">capital</WORD>
<WORD coords="1798,2748,1841,2688,2737">y</WORD>
<WORD coords="1884,2724,1941,2669,2723">el</WORD>
<WORD coords="2012,2727,2236,2680,2724">ínteres</WORD>
<WORD coords="2280,2748,2660,2672,2726">compuesto?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="988,2842,1369,2779,2834">Resolución.</WORD>
<WORD coords="1465,2832,1543,2776,2831">Se</WORD>
<WORD coords="1599,2831,1754,2775,2830">debe</WORD>
<WORD coords="1810,2831,2086,2774,2829">advertir</WORD>
<WORD coords="2143,2849,2264,2796,2832">que</WORD>
<WORD coords="2325,2832,2379,2781,2831">el</WORD>
<WORD coords="2457,2837,2684,2776,2833">ínteres</WORD>
<WORD coords="2739,2848,3102,2781,2830">compuesto</WORD>
</LINE>
<LINE>
<WORD coords="734,2947,864,2889,2945">está</WORD>
<WORD coords="927,2960,1271,2882,2939">prohibido</WORD>
<WORD coords="1330,2956,1441,2899,2939">por</WORD>
<WORD coords="1499,2935,1587,2882,2935">las</WORD>
<WORD coords="1637,2958,1805,2881,2934">leyes</WORD>
<WORD coords="1838,2946,1856,2923,2941">,</WORD>
<WORD coords="1896,2936,1989,2881,2934">sin</WORD>
<WORD coords="2035,2958,2336,2883,2936">embargo</WORD>
<WORD coords="2380,2939,2601,2883,2938">demos</WORD>
<WORD coords="2645,2941,2700,2885,2939">la</WORD>
<WORD coords="2749,2958,2938,2883,2936">regb.</WORD>
<WORD coords="2994,2937,3105,2878,2936">Pa-</WORD>
</LINE>
<LINE>
<WORD coords="735,3052,804,3013,3051">ra</WORD>
<WORD coords="863,3051,916,2995,3049">el</WORD>
<WORD coords="967,3066,1195,2992,3045">primer</WORD>
<WORD coords="1241,3046,1360,3007,3043">ano</WORD>
<WORD coords="1414,3058,1669,3005,3041">saqúese</WORD>
<WORD coords="1715,3041,1771,2987,3040">el</WORD>
<WORD coords="1846,3044,2072,2986,3041">interés</WORD>
<WORD coords="2134,3057,2353,2986,3042">simple</WORD>
<WORD coords="2410,3067,2615,2993,3050">(184)</WORD>
<WORD coords="2668,3042,2744,2987,3042">de</WORD>
<WORD coords="2794,3045,2896,2987,3040">,los</WORD>
<WORD coords="2963,3039,3086,2989,3038">400</WORD>
<WORD coords="3087,3055,3110,3026,3055">#</WORD>
</LINE>
<LINE>
<WORD coords="743,3179,864,3123,3158">que</WORD>
<WORD coords="912,3154,1021,3119,3153">son</WORD>
<WORD coords="1064,3153,1142,3104,3146">&apos;20</WORD>
<WORD coords="1194,3169,1401,3113,3149">pesos.</WORD>
<WORD coords="1500,3147,1655,3092,3145">Para</WORD>
<WORD coords="1715,3147,1768,3095,3146">el</WORD>
<WORD coords="1827,3148,1886,3101,3148">2.</WORD>
<WORD coords="2029,3149,2208,3112,3148">sumo</WORD>
<WORD coords="2277,3149,2332,3094,3148">el</WORD>
<WORD coords="2385,3168,2610,3097,3150">capital</WORD>
<WORD coords="2675,3149,2790,3112,3148">con</WORD>
<WORD coords="2836,3147,2891,3093,3146">el</WORD>
<WORD coords="2949,3145,3106,3089,3144">ínte-</WORD>
</LINE>
<LINE>
<WORD coords="739,3267,843,3227,3265">res</WORD>
<WORD coords="911,3272,1132,3203,3258">simple</WORD>
<WORD coords="1185,3259,1287,3202,3257">del</WORD>
<WORD coords="1350,3273,1583,3200,3254">primer</WORD>
<WORD coords="1629,3267,1794,3201,3253">año,</WORD>
<WORD coords="1841,3274,1883,3217,3265">y</WORD>
<WORD coords="1937,3254,2012,3198,3254">de</WORD>
<WORD coords="2074,3258,2128,3200,3255">la</WORD>
<WORD coords="2174,3256,2352,3218,3254">suma</WORD>
<WORD coords="2414,3260,2540,3207,3259">420</WORD>
<WORD coords="2600,3274,2777,3220,3256">pesos</WORD>
<WORD coords="2831,3253,2975,3216,3251">saco</WORD>
<WORD coords="3029,3254,3105,3215,3252">su</WORD>
</LINE>
<LINE>
<WORD coords="743,3370,974,3313,3366">ínteres</WORD>
<WORD coords="1021,3377,1242,3308,3362">simple</WORD>
<WORD coords="1303,3378,1423,3324,3361">que</WORD>
<WORD coords="1471,3360,1534,3324,3359">es</WORD>
<WORD coords="1588,3360,1659,3312,3359">21</WORD>
<WORD coords="1714,3372,1912,3323,3358">pesos.</WORD>
<WORD coords="2012,3360,2165,3303,3358">Para</WORD>
<WORD coords="2222,3360,2276,3305,3359">el</WORD>
<WORD coords="2328,3361,2384,3311,3360">3.</WORD>
<WORD coords="2412,3344,2448,3308,3351">°</WORD>
<WORD coords="2533,3366,2714,3327,3362">sumo</WORD>
<WORD coords="2766,3360,2823,3306,3360">ti</WORD>
<WORD coords="2882,3365,3107,3301,3358">capital</WORD>
</LINE>
<LINE>
<WORD coords="744,3476,1016,3417,3471">anterior</WORD>
<WORD coords="1068,3470,1191,3419,3467">420</WORD>
<WORD coords="1236,3466,1289,3431,3465">ce</WORD>
<WORD coords="1312,3466,1348,3430,3466">n</WORD>
<WORD coords="1403,3467,1473,3430,3466">su</WORD>
<WORD coords="1519,3468,1746,3411,3463">ínteres</WORD>
<WORD coords="1796,3482,2015,3409,3464">simple</WORD>
<WORD coords="2070,3464,2141,3417,3464">21</WORD>
<WORD coords="2192,3481,2369,3428,3464">pesos</WORD>
<WORD coords="2405,3482,2421,3455,3482">,</WORD>
<WORD coords="2447,3487,2484,3430,3477">y</WORD>
<WORD coords="2532,3467,2609,3411,3466">de</WORD>
<WORD coords="2665,3470,2721,3413,3468">la</WORD>
<WORD coords="2780,3470,2953,3433,3468">suma</WORD>
<WORD coords="2985,3470,3103,3418,3467">441</WORD>
</LINE>
<LINE>
<WORD coords="743,3581,891,3541,3577">saco</WORD>
<WORD coords="950,3577,1005,3521,3576">el</WORD>
<WORD coords="1061,3575,1293,3519,3573">interés</WORD>
<WORD coords="1343,3583,1562,3516,3571">simple</WORD>
<WORD coords="1613,3585,1630,3559,3585">,</WORD>
<WORD coords="1689,3596,1809,3536,3573">que</WORD>
<WORD coords="1869,3576,1932,3535,3574">es</WORD>
<WORD coords="1975,3576,2050,3524,3574">22</WORD>
<WORD coords="2064,3586,2078,3555,3586">y</WORD>
<WORD coords="2078,3574,2157,3522,3576">05</WORD>
<WORD coords="2200,3588,2398,3535,3571">pesos.</WORD>
<WORD coords="2493,3575,2878,3515,3572">Finalmente</WORD>
<WORD coords="2923,3573,3105,3535,3571">sumo</WORD>
</LINE>
<LINE>
<WORD coords="740,3686,797,3633,3684">el</WORD>
<WORD coords="874,3683,1095,3626,3680">ultimo</WORD>
<WORD coords="1143,3697,1366,3625,3677">capital</WORD>
<WORD coords="1411,3678,1527,3630,3677">441</WORD>
<WORD coords="1594,3678,1708,3640,3678">con</WORD>
<WORD coords="1763,3680,1819,3622,3678">ti</WORD>
<WORD coords="1876,3680,2099,3622,3678">ultimo</WORD>
<WORD coords="2171,3681,2400,3623,3678">ínteres</WORD>
<WORD coords="2465,3697,2645,3629,3684">22,05</WORD>
<WORD coords="2679,3698,2697,3667,3698">,</WORD>
<WORD coords="2741,3701,2778,3644,3690">y</WORD>
<WORD coords="2834,3680,2975,3643,3678">resu</WORD>
<WORD coords="3002,3679,3106,3632,3677">tan</WORD>
</LINE>
<LINE>
<WORD coords="750,3806,976,3740,3793">463,05</WORD>
<WORD coords="1033,3792,1227,3752,3784">nesos,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1001,3899,1266,3838,3896">Escolio*</WORD>
<WORD coords="1359,3896,1437,3838,3896">El</WORD>
<WORD coords="1492,3918,1713,3837,3895">capital</WORD>
<WORD coords="1747,3918,1785,3859,3918">y</WORD>
<WORD coords="1831,3920,2161,3836,3896">ganancias</WORD>
<WORD coords="2204,3903,2238,3841,3903">i</WORD>
<WORD coords="2291,3900,2519,3848,3898">mteres</WORD>
<WORD coords="2564,3917,2923,3851,3896">compuesto</WORD>
<WORD coords="2953,3901,3111,3851,3898">tam*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0154.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0155.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0155.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1296,492,1508,398,491">145</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="231,632,382,565,626">Jbíen</WORD>
<WORD coords="435,624,500,586,623">se</WORD>
<WORD coords="533,643,741,569,626">puede</WORD>
<WORD coords="792,628,987,569,626">hallar</WORD>
<WORD coords="1044,648,1158,590,629">por</WORD>
<WORD coords="1209,632,1336,587,630">esta</WORD>
<WORD coords="1376,654,1539,579,631">regla</WORD>
<WORD coords="1571,636,1585,599,636">:</WORD>
<WORD coords="1621,658,1928,578,634">Busquese</WORD>
<WORD coords="1961,655,2227,581,636">primero</WORD>
<WORD coords="2257,639,2312,582,638">el</WORD>
<WORD coords="2337,638,2488,589,636">ínter</WORD>
<WORD coords="2500,649,2560,597,649">ef</WORD>
<WORD coords="2563,656,2586,622,656">9</WORD>
</LINE>
<LINE>
<WORD coords="231,752,353,693,729">que</WORD>
<WORD coords="386,751,559,694,731">gana</WORD>
<WORD coords="616,732,697,696,731">un</WORD>
<WORD coords="724,734,859,690,733">.solo</WORD>
<WORD coords="898,755,1039,694,733">peso</WORD>
<WORD coords="1070,736,1131,684,735">al</WORD>
<WORD coords="1158,736,1274,681,736">año</WORD>
<WORD coords="1307,752,1326,724,752">,</WORD>
<WORD coords="1351,756,1462,693,736">por</WORD>
<WORD coords="1509,740,1691,684,738">medio</WORD>
<WORD coords="1724,741,1793,685,740">de</WORD>
<WORD coords="1837,741,1955,705,740">una</WORD>
<WORD coords="1989,762,2156,689,742">regla</WORD>
<WORD coords="2187,744,2252,690,744">de</WORD>
<WORD coords="2284,744,2401,699,742">tres</WORD>
<WORD coords="2434,741,2450,708,741">i</WORD>
<WORD coords="2481,742,2582,703,742">¿u*</WORD>
</LINE>
<LINE>
<WORD coords="233,840,396,799,836">Tnese</WORD>
<WORD coords="449,859,696,782,837">después</WORD>
<WORD coords="749,838,803,785,838">el</WORD>
<WORD coords="846,839,1071,784,837">interés</WORD>
<WORD coords="1123,840,1195,784,839">de</WORD>
<WORD coords="1243,842,1268,795,842">1</WORD>
<WORD coords="1325,861,1468,798,840">peso</WORD>
<WORD coords="1514,844,1622,807,843">con</WORD>
<WORD coords="1667,845,1731,791,844">.el</WORD>
<WORD coords="1785,847,1987,791,845">mismo</WORD>
<WORD coords="2027,869,2170,805,848">peso</WORD>
<WORD coords="2205,862,2220,838,862">,</WORD>
<WORD coords="2265,868,2300,813,867">y</WORD>
<WORD coords="2348,866,2580,794,848">hágase</WORD>
</LINE>
<LINE>
<WORD coords="234,949,364,906,941">¿i?ia</WORD>
<WORD coords="412,943,504,906,942">mu</WORD>
<WORD coords="534,964,623,898,944">Up</WORD>
<WORD coords="631,943,702,891,942">Lie</WORD>
<WORD coords="709,945,882,890,943">ación</WORD>
<WORD coords="925,945,1022,891,944">tal</WORD>
<WORD coords="1050,965,1068,932,965">,</WORD>
<WORD coords="1127,970,1239,909,945">que</WORD>
<WORD coords="1291,972,1524,893,946">aquella</WORD>
<WORD coords="1578,952,1749,913,950">turna</WORD>
<WORD coords="1818,954,1987,907,951">entre</WORD>
<WORD coords="2040,956,2242,909,954">tantas</WORD>
<WORD coords="2295,955,2458,917,953">veces</WORD>
<WORD coords="2512,956,2585,899,955">de</WORD>
</LINE>
<LINE>
<WORD coords="222,1072,446,992,1051">JuCtor</WORD>
<WORD coords="490,1050,649,1012,1048">como</WORD>
<WORD coords="695,1049,848,993,1048">arios</WORD>
<WORD coords="907,1051,1029,996,1049">han</WORD>
<WORD coords="1091,1074,1324,999,1052">posado</WORD>
<WORD coords="1359,1072,1375,1022,1072">;</WORD>
<WORD coords="1404,1077,1769,997,1058">finalmente</WORD>
<WORD coords="1812,1056,1866,1005,1055">el</WORD>
<WORD coords="1896,1078,2190,1005,1058">producto</WORD>
<WORD coords="2237,1085,2345,1025,1061">que</WORD>
<WORD coords="2394,1068,2582,1006,1061">resul-</WORD>
</LINE>
<LINE>
<WORD coords="234,1155,300,1108,1153">te</WORD>
<WORD coords="345,1178,784,1098,1153">multipliqúese</WORD>
<WORD coords="830,1175,946,1110,1154">por</WORD>
<WORD coords="998,1156,1054,1101,1155">el</WORD>
<WORD coords="1093,1178,1323,1102,1156">capital</WORD>
<WORD coords="1347,1164,1363,1141,1164">,</WORD>
<WORD coords="1400,1180,1441,1121,1170">y</WORD>
<WORD coords="1485,1160,1609,1109,1158">este</WORD>
<WORD coords="1650,1179,1942,1104,1159">producto</WORD>
<WORD coords="1997,1163,2140,1127,1161">sera</WORD>
<WORD coords="2184,1166,2240,1110,1165">la</WORD>
<WORD coords="2295,1168,2467,1131,1166">suma</WORD>
<WORD coords="2507,1169,2582,1111,1167">de</WORD>
</LINE>
<LINE>
<WORD coords="209,1280,469,1205,1260">capital</WORD>
<WORD coords="516,1279,557,1222,1279">y</WORD>
<WORD coords="593,1279,940,1207,1261">ganancias</WORD>
<WORD coords="992,1283,1231,1207,1262">pedida.</WORD>
<WORD coords="1289,1265,1403,1209,1264">Asi</WORD>
<WORD coords="1451,1266,1523,1230,1265">en</WORD>
<WORD coords="1578,1266,1631,1211,1265">la</WORD>
<WORD coords="1686,1268,1964,1213,1266">cuestión</WORD>
<WORD coords="2007,1270,2271,1214,1267">anterior</WORD>
<WORD coords="2325,1270,2380,1217,1269">el</WORD>
<WORD coords="2424,1272,2579,1215,1271">inte-</WORD>
</LINE>
<LINE>
<WORD coords="243,1364,330,1324,1362">rés</WORD>
<WORD coords="375,1365,451,1310,1365">de</WORD>
<WORD coords="492,1366,514,1318,1368">1</WORD>
<WORD coords="553,1384,697,1331,1367">peso</WORD>
<WORD coords="749,1372,812,1334,1370">es</WORD>
<WORD coords="842,1386,919,1320,1375">0,</WORD>
<WORD coords="943,1369,1021,1321,1369">05</WORD>
<WORD coords="1052,1376,1068,1337,1374">;</WORD>
<WORD coords="1101,1372,1227,1326,1370">este</WORD>
<WORD coords="1274,1374,1502,1314,1372">interés</WORD>
<WORD coords="1537,1376,1797,1317,1373">sumado</WORD>
<WORD coords="1831,1374,1950,1335,1373">con</WORD>
<WORD coords="1998,1374,2053,1319,1373">el</WORD>
<WORD coords="2107,1393,2249,1339,1374">peso</WORD>
<WORD coords="2280,1375,2358,1320,1374">da</WORD>
<WORD coords="2394,1388,2445,1329,1380">1,</WORD>
<WORD coords="2476,1376,2579,1327,1374">05:</WORD>
</LINE>
<LINE>
<WORD coords="236,1493,445,1433,1470">.pongo</WORD>
<WORD coords="527,1478,711,1416,1474">ahora</WORD>
<WORD coords="798,1475,928,1432,1474">esta</WORD>
<WORD coords="997,1482,1174,1440,1477">suma</WORD>
<WORD coords="1238,1478,1360,1435,1476">tres</WORD>
<WORD coords="1418,1478,1596,1442,1477">veces</WORD>
<WORD coords="1677,1479,1752,1423,1478">de</WORD>
<WORD coords="1801,1477,1814,1429,1477">i</WORD>
<WORD coords="1828,1484,1993,1437,1479">actor</WORD>
<WORD coords="2029,1492,2046,1467,1492">,</WORD>
<WORD coords="2096,1499,2327,1444,1479">porque</WORD>
<WORD coords="2387,1480,2493,1445,1479">son</WORD>
<WORD coords="2534,1494,2580,1432,1487">&lt;3</WORD>
</LINE>
<LINE>
<WORD coords="241,1582,331,1523,1579">los</WORD>
<WORD coords="398,1579,549,1527,1578">años</WORD>
<WORD coords="612,1594,630,1569,1589">,</WORD>
<WORD coords="685,1582,761,1526,1581">de</WORD>
<WORD coords="822,1583,950,1539,1581">este</WORD>
<WORD coords="1036,1583,1223,1528,1582">modo</WORD>
<WORD coords="1281,1588,1298,1551,1586">:</WORD>
<WORD coords="1361,1584,1384,1534,1584">1</WORD>
<WORD coords="1442,1594,1457,1573,1589">,</WORD>
<WORD coords="1489,1584,1566,1536,1584">05</WORD>
<WORD coords="1619,1601,1688,1541,1601">X</WORD>
<WORD coords="1751,1587,1776,1538,1587">1</WORD>
<WORD coords="1839,1599,1856,1574,1592">,</WORD>
<WORD coords="1895,1586,1973,1538,1585">05</WORD>
<WORD coords="2061,1608,2124,1543,1608">X</WORD>
<WORD coords="2217,1587,2239,1538,1587">1</WORD>
<WORD coords="2278,1598,2294,1574,1592">,</WORD>
<WORD coords="2346,1587,2423,1538,1586">05</WORD>
<WORD coords="2478,1586,2584,1547,1586">=</WORD>
</LINE>
<LINE>
<WORD coords="238,1688,267,1635,1688">t</WORD>
<WORD coords="307,1700,325,1672,1694">,</WORD>
<WORD coords="397,1687,632,1635,1686">157625</WORD>
<WORD coords="666,1699,681,1675,1699">,</WORD>
<WORD coords="705,1706,753,1650,1697">y</WORD>
<WORD coords="808,1688,935,1646,1687">este</WORD>
<WORD coords="981,1704,1281,1633,1687">producto</WORD>
<WORD coords="1343,1703,1687,1634,1689">multiplico</WORD>
<WORD coords="1742,1709,1848,1653,1688">por</WORD>
<WORD coords="1892,1690,1947,1637,1689">el</WORD>
<WORD coords="2003,1707,2219,1638,1690">capital</WORD>
<WORD coords="2271,1694,2394,1643,1693">400</WORD>
<WORD coords="2438,1709,2456,1682,1703">,</WORD>
<WORD coords="2501,1698,2580,1640,1696">de</WORD>
</LINE>
<LINE>
<WORD coords="219,1794,436,1735,1792">ídonde</WORD>
<WORD coords="494,1814,761,1736,1792">obtengo</WORD>
<WORD coords="818,1794,938,1741,1793">463</WORD>
<WORD coords="972,1810,989,1782,1802">,</WORD>
<WORD coords="1018,1795,1096,1744,1794">05</WORD>
<WORD coords="1151,1808,1330,1758,1794">pesos</WORD>
<WORD coords="1397,1796,1453,1741,1795">el</WORD>
<WORD coords="1535,1798,1762,1739,1797">mismo</WORD>
<WORD coords="1819,1798,2131,1742,1796">resultado</WORD>
<WORD coords="2209,1815,2327,1761,1797">que</WORD>
<WORD coords="2388,1804,2580,1753,1798">antes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="479,1897,571,1841,1896">La</WORD>
<WORD coords="626,1900,817,1861,1898">razón</WORD>
<WORD coords="874,1900,952,1845,1899">de</WORD>
<WORD coords="1032,1901,1163,1858,1900">esta</WORD>
<WORD coords="1221,1924,1388,1850,1899">regla</WORD>
<WORD coords="1452,1905,1716,1847,1901">consiste</WORD>
<WORD coords="1756,1916,1773,1890,1909">,</WORD>
<WORD coords="1834,1903,1907,1865,1902">en</WORD>
<WORD coords="1964,1921,2081,1867,1902">que</WORD>
<WORD coords="2141,1903,2318,1866,1902">como</WORD>
<WORD coords="2372,1903,2427,1848,1902">el</WORD>
<WORD coords="2486,1905,2579,1848,1905">in-</WORD>
</LINE>
<LINE>
<WORD coords="220,2004,383,1954,2001">terés</WORD>
<WORD coords="441,2003,518,1947,2002">de</WORD>
<WORD coords="579,2004,660,1968,2003">un</WORD>
<WORD coords="709,2022,856,1969,2004">peso</WORD>
<WORD coords="926,2006,999,1969,2005">en</WORD>
<WORD coords="1072,2006,1128,1952,2006">el</WORD>
<WORD coords="1181,2023,1405,1952,2007">primer</WORD>
<WORD coords="1439,2008,1556,1957,2007">año</WORD>
<WORD coords="1586,2011,1663,1952,2010">ha</WORD>
<WORD coords="1717,2009,1793,1953,2008">de</WORD>
<WORD coords="1839,2009,1939,1972,2008">ser</WORD>
<WORD coords="1993,2022,2214,1954,2009">capital</WORD>
<WORD coords="2259,2011,2331,1975,2010">en</WORD>
<WORD coords="2390,2012,2444,1957,2011">el</WORD>
<WORD coords="2481,2013,2574,1976,2013">se-</WORD>
</LINE>
<LINE>
<WORD coords="202,2133,427,2056,2112">cundo</WORD>
<WORD coords="457,2129,481,2096,2129">9</WORD>
<WORD coords="531,2127,823,2055,2112">podemos</WORD>
<WORD coords="855,2113,1034,2055,2112">hacer</WORD>
<WORD coords="1065,2114,1193,2068,2113">esta</WORD>
<WORD coords="1265,2115,1295,2076,2115">r</WORD>
<WORD coords="1343,2133,1587,2060,2115">porción</WORD>
<WORD coords="1622,2118,1634,2083,2117">:</WORD>
<WORD coords="1668,2116,1734,2060,2115">Si</WORD>
<WORD coords="1761,2136,1873,2075,2116">por</WORD>
<WORD coords="1900,2116,1918,2069,2116">1</WORD>
<WORD coords="1944,2136,2094,2070,2114">.peso</WORD>
<WORD coords="2140,2116,2211,2079,2116">en</WORD>
<WORD coords="2254,2123,2335,2081,2120">un</WORD>
<WORD coords="2365,2121,2480,2062,2118">año</WORD>
<WORD coords="2512,2124,2579,2083,2121">se</WORD>
</LINE>
<LINE>
<WORD coords="209,2239,383,2172,2215">paga</WORD>
<WORD coords="437,2219,461,2171,2220">1</WORD>
<WORD coords="498,2230,513,2206,2225">,</WORD>
<WORD coords="546,2218,624,2170,2219">05</WORD>
<WORD coords="655,2226,678,2185,2226">;</WORD>
<WORD coords="728,2243,868,2177,2221">¿por</WORD>
<WORD coords="896,2220,919,2172,2220">1</WORD>
<WORD coords="975,2241,1116,2174,2219">peso</WORD>
<WORD coords="1359,2237,1373,2212,2224">,</WORD>
<WORD coords="1402,2221,1480,2173,2220">05</WORD>
<WORD coords="1514,2222,1729,2185,2221">cuanto</WORD>
<WORD coords="1771,2223,1838,2186,2222">se</WORD>
<WORD coords="1859,2243,1990,2179,2221">pag</WORD>
<WORD coords="2009,2222,2103,2186,2220">ira</WORD>
<WORD coords="2148,2222,2221,2185,2222">en</WORD>
<WORD coords="2263,2223,2318,2170,2222">el</WORD>
<WORD coords="2353,2235,2579,2189,2231">mmtm</WORD>
</LINE>
<LINE>
<WORD coords="231,2345,489,2265,2321">hempo?</WORD>
<WORD coords="555,2325,592,2271,2327">ó</WORD>
<WORD coords="644,2326,666,2278,2327">1</WORD>
<WORD coords="726,2326,739,2290,2327">:</WORD>
<WORD coords="796,2327,821,2278,2328">1</WORD>
<WORD coords="860,2341,876,2314,2335">,</WORD>
<WORD coords="905,2327,985,2277,2327">05</WORD>
<WORD coords="1049,2329,1083,2292,2328">::</WORD>
<WORD coords="1150,2328,1176,2279,2328">1</WORD>
<WORD coords="1216,2342,1233,2314,2335">,</WORD>
<WORD coords="1260,2327,1339,2278,2327">05</WORD>
<WORD coords="1390,2329,1404,2293,2329">:</WORD>
<WORD coords="1461,2328,1505,2291,2328">x</WORD>
<WORD coords="1555,2335,1660,2300,2334">=z</WORD>
<WORD coords="1708,2329,1735,2278,2329">1</WORD>
<WORD coords="1771,2344,1787,2317,2336">,</WORD>
<WORD coords="1840,2327,1916,2279,2327">05</WORD>
<WORD coords="1966,2349,2041,2276,2349">X</WORD>
<WORD coords="2096,2328,2120,2279,2328">1</WORD>
<WORD coords="2159,2346,2174,2315,2338">,</WORD>
<WORD coords="2216,2331,2293,2282,2331">05</WORD>
<WORD coords="2329,2350,2345,2322,2345">,</WORD>
<WORD coords="2373,2341,2577,2280,2335">doade</WORD>
</LINE>
<LINE>
<WORD coords="235,2432,451,2389,2429">vernos</WORD>
<WORD coords="506,2444,624,2395,2432">que</WORD>
<WORD coords="659,2432,715,2377,2432">el</WORD>
<WORD coords="763,2452,982,2378,2433">capital</WORD>
<WORD coords="1018,2455,1055,2398,2455">y</WORD>
<WORD coords="1115,2455,1410,2378,2434">ganancia</WORD>
<WORD coords="1467,2454,1587,2398,2434">que</WORD>
<WORD coords="1641,2437,1705,2397,2435">se</WORD>
<WORD coords="1759,2436,1913,2378,2435">debe</WORD>
<WORD coords="1972,2455,2079,2398,2435">por</WORD>
<WORD coords="2112,2437,2188,2395,2436">un</WORD>
<WORD coords="2225,2456,2367,2401,2438">peso</WORD>
<WORD coords="2394,2442,2445,2390,2440">al</WORD>
<WORD coords="2493,2448,2574,2387,2445">fia</WORD>
</LINE>
<LINE>
<WORD coords="229,2540,306,2484,2539">de</WORD>
<WORD coords="354,2538,440,2485,2537">los</WORD>
<WORD coords="469,2537,503,2491,2540">2</WORD>
<WORD coords="555,2540,704,2487,2537">años</WORD>
<WORD coords="737,2552,752,2528,2547">,</WORD>
<WORD coords="784,2540,849,2503,2540">es</WORD>
<WORD coords="909,2562,1079,2485,2540">igual</WORD>
<WORD coords="1134,2541,1192,2486,2541">al</WORD>
<WORD coords="1246,2561,1544,2486,2541">producto</WORD>
<WORD coords="1608,2561,1726,2506,2543">que</WORD>
<WORD coords="1768,2543,1996,2490,2541">resulta</WORD>
<WORD coords="2044,2544,2120,2486,2543">de</WORD>
<WORD coords="2169,2548,2367,2499,2545">tomar</WORD>
<WORD coords="2399,2550,2433,2501,2550">2</WORD>
<WORD coords="2467,2550,2572,2513,2549">ve-</WORD>
</LINE>
<LINE>
<WORD coords="222,2645,325,2607,2644">ces</WORD>
<WORD coords="387,2661,497,2607,2643">por</WORD>
<WORD coords="550,2647,746,2588,2644">factor</WORD>
<WORD coords="802,2646,858,2590,2645">la</WORD>
<WORD coords="907,2648,1083,2610,2647">suma</WORD>
<WORD coords="1129,2647,1204,2592,2647">de</WORD>
<WORD coords="1253,2649,1330,2611,2647">un</WORD>
<WORD coords="1377,2668,1524,2612,2649">peso</WORD>
<WORD coords="1581,2671,1623,2613,2661">y</WORD>
<WORD coords="1677,2651,1749,2614,2650">su</WORD>
<WORD coords="1806,2649,2032,2593,2648">interés</WORD>
<WORD coords="2082,2650,2322,2596,2648">annual.</WORD>
<WORD coords="2423,2665,2575,2596,2653">Parja</WORD>
</LINE>
<LINE>
<WORD coords="186,2766,206,2733,2766">f</WORD>
<WORD coords="219,2750,274,2694,2748">el</WORD>
<WORD coords="333,2750,534,2705,2749">tercer</WORD>
<WORD coords="590,2751,708,2699,2749">año</WORD>
<WORD coords="762,2753,1048,2695,2751">haremos</WORD>
<WORD coords="1105,2753,1163,2698,2752">la</WORD>
<WORD coords="1208,2769,1577,2702,2753">proporción</WORD>
<WORD coords="1631,2757,1654,2706,2756">1</WORD>
<WORD coords="1692,2756,1706,2720,2756">:</WORD>
<WORD coords="1759,2757,1785,2707,2757">l</WORD>
<WORD coords="1824,2769,1839,2744,2761">,</WORD>
<WORD coords="1868,2754,1948,2705,2754">05</WORD>
<WORD coords="1987,2759,2025,2719,2757">::</WORD>
<WORD coords="2082,2769,2219,2704,2759">1,05</WORD>
<WORD coords="2301,2775,2369,2702,2774">^</WORD>
<WORD coords="2408,2773,2569,2710,2763">1,05;</WORD>
</LINE>
<LINE>
<WORD coords="232,2858,277,2821,2860">^</WORD>
<WORD coords="311,2869,404,2834,2869">s=</WORD>
<WORD coords="442,2858,467,2808,2858">l</WORD>
<WORD coords="505,2871,519,2848,2866">,</WORD>
<WORD coords="550,2860,625,2809,2859">05</WORD>
<WORD coords="662,2878,732,2807,2878">X</WORD>
<WORD coords="792,2861,814,2814,2861">1</WORD>
<WORD coords="855,2876,971,2811,2868">,05</WORD>
<WORD coords="1007,2880,1077,2809,2871">^</WORD>
<WORD coords="1132,2861,1152,2812,2861">1</WORD>
<WORD coords="1193,2876,1207,2851,2869">,</WORD>
<WORD coords="1240,2861,1319,2813,2861">05</WORD>
<WORD coords="1353,2882,1470,2827,2863">que</WORD>
<WORD coords="1514,2863,1577,2827,2862">es</WORD>
<WORD coords="1608,2863,1661,2807,2862">la</WORD>
<WORD coords="1697,2864,1874,2826,2863">suma</WORD>
<WORD coords="1911,2864,1985,2806,2863">de</WORD>
<WORD coords="2019,2880,2237,2805,2860">capital</WORD>
<WORD coords="2264,2882,2301,2828,2882">y</WORD>
<WORD coords="2347,2885,2575,2829,2866">ganan-</WORD>
</LINE>
<LINE>
<WORD coords="227,2964,352,2915,2963">cias</WORD>
<WORD coords="384,2986,598,2911,2965">que^se</WORD>
<WORD coords="633,2968,881,2917,2966">cobrará</WORD>
<WORD coords="926,2987,1035,2932,2967">por</WORD>
<WORD coords="1081,2970,1160,2932,2969">un</WORD>
<WORD coords="1195,2987,1340,2932,2968">peso</WORD>
<WORD coords="1368,2969,1425,2914,2968">al</WORD>
<WORD coords="1476,2969,1553,2913,2968">fin</WORD>
<WORD coords="1588,2970,1688,2913,2969">det</WORD>
<WORD coords="1738,2968,1937,2923,2967">tercer</WORD>
<WORD coords="1982,2968,2098,2914,2966">año</WORD>
<WORD coords="2124,2982,2141,2954,2982">,</WORD>
<WORD coords="2172,2986,2208,2931,2977">y</WORD>
<WORD coords="2241,2968,2314,2931,2967">en</WORD>
<WORD coords="2348,2970,2401,2916,2969">el</WORD>
<WORD coords="2434,2995,2572,2916,2972">cu^l</WORD>
</LINE>
<LINE>
<WORD coords="230,3070,547,3014,3068">resultado</WORD>
<WORD coords="607,3090,903,3017,3072">podemos</WORD>
<WORD coords="946,3075,1131,3016,3074">hacer</WORD>
<WORD coords="1174,3075,1225,3021,3074">la</WORD>
<WORD coords="1270,3075,1490,3017,3073">misma</WORD>
<WORD coords="1541,3080,1945,3016,3073">observación</WORD>
<WORD coords="2007,3077,2297,3017,3072">anterior.</WORD>
<WORD coords="2332,3077,2548,3018,3075">Ahora</WORD>
<WORD coords="2554,3099,2574,3067,3099">#</WORD>
</LINE>
<LINE>
<WORD coords="228,3193,377,3135,3174">para</WORD>
<WORD coords="421,3177,616,3118,3175">hallar</WORD>
<WORD coords="677,3179,729,3125,3178">la</WORD>
<WORD coords="788,3181,962,3144,3180">suma</WORD>
<WORD coords="1012,3181,1112,3126,3181">del</WORD>
<WORD coords="1168,3200,1389,3126,3181">capital</WORD>
<WORD coords="1442,3181,1564,3129,3179">400</WORD>
<WORD coords="1609,3199,1784,3142,3178">pesos</WORD>
<WORD coords="1841,3198,1879,3141,3189">y</WORD>
<WORD coords="1940,3179,2011,3142,3178">su</WORD>
<WORD coords="2069,3180,2295,3122,3178">interés</WORD>
<WORD coords="2359,3181,2414,3124,3180">al</WORD>
<WORD coords="2466,3183,2562,3146,3182">ca-</WORD>
</LINE>
<LINE>
<WORD coords="224,3279,300,3223,3277">bo</WORD>
<WORD coords="352,3281,430,3224,3280">de</WORD>
<WORD coords="492,3279,524,3231,3281">3</WORD>
<WORD coords="582,3284,732,3231,3282">años</WORD>
<WORD coords="793,3283,820,3233,3283">á</WORD>
<WORD coords="878,3286,1103,3229,3284">ínteres</WORD>
<WORD coords="1149,3305,1510,3241,3286">compuesto</WORD>
<WORD coords="1539,3300,1555,3272,3292">,</WORD>
<WORD coords="1609,3284,1880,3228,3282">diremos</WORD>
<WORD coords="1937,3284,1950,3247,3284">:</WORD>
<WORD coords="2008,3285,2074,3229,3284">Si</WORD>
<WORD coords="2159,3284,2184,3235,3284">1</WORD>
<WORD coords="2223,3303,2364,3239,3285">peso</WORD>
<WORD coords="2410,3288,2482,3250,3287">en</WORD>
<WORD coords="2528,3288,2563,3238,3288">3</WORD>
</LINE>
<LINE>
<WORD coords="222,3387,379,3350,3384">arios</WORD>
<WORD coords="433,3388,508,3331,3387">da</WORD>
<WORD coords="556,3410,675,3344,3390">por</WORD>
<WORD coords="729,3412,958,3337,3390">capital</WORD>
<WORD coords="997,3412,1038,3355,3412">y</WORD>
<WORD coords="1077,3413,1420,3341,3392">ganancias</WORD>
<WORD coords="1476,3407,1552,3344,3396">1,</WORD>
<WORD coords="1603,3390,1684,3341,3390">05</WORD>
<WORD coords="1740,3412,1842,3337,3407">oX</WORD>
<WORD coords="1891,3401,1971,3343,3393">l,</WORD>
<WORD coords="2022,3390,2101,3341,3390">05</WORD>
<WORD coords="2154,3417,2226,3340,3404">^</WORD>
<WORD coords="2305,3392,2329,3342,3392">1</WORD>
<WORD coords="2388,3405,2404,3378,3405">9</WORD>
<WORD coords="2458,3410,2565,3345,3401">05;</WORD>
</LINE>
<LINE>
<WORD coords="227,3518,315,3445,3500">¿4(</WORD>
<WORD coords="425,3516,603,3450,3496">pesos</WORD>
<WORD coords="646,3500,862,3453,3498">cuanto</WORD>
<WORD coords="922,3500,1159,3443,3498">darán?</WORD>
<WORD coords="1247,3518,1366,3464,3500">que</WORD>
<WORD coords="1429,3517,1734,3443,3497">poniendo</WORD>
<WORD coords="1780,3499,1856,3462,3498">en</WORD>
<WORD coords="1913,3516,2277,3460,3497">proporción</WORD>
<WORD coords="2335,3501,2465,3464,3500">sera</WORD>
<WORD coords="2487,3505,2564,3447,3505">.ei</WORD>
</LINE>
<LINE>
<WORD coords="219,3604,534,3545,3602">resultado</WORD>
<WORD coords="591,3605,647,3549,3604">el</WORD>
<WORD coords="696,3605,919,3550,3605">mismo</WORD>
<WORD coords="979,3625,1098,3570,3608">que</WORD>
<WORD coords="1144,3607,1358,3549,3605">hemos</WORD>
<WORD coords="1422,3623,1717,3547,3603">prescrito</WORD>
<WORD coords="1773,3606,1850,3568,3605">en</WORD>
<WORD coords="1906,3608,2154,3560,3605">nuestra</WORD>
<WORD coords="2205,3628,2397,3553,3606">regla.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="831,3787,1149,3725,3785">REGLA.</WORD>
<WORD coords="1221,3785,1340,3726,3784">DE</WORD>
<WORD coords="1393,3786,1950,3720,3783">ALIGACION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="307,3962,445,3902,3961">186.</WORD>
<WORD coords="536,3982,860,3902,3961">Aligación</WORD>
<WORD coords="895,3983,910,3949,3983">%</WORD>
<WORD coords="937,3986,1068,3905,3963">liga</WORD>
<WORD coords="1123,3964,1155,3923,3964">c</WORD>
<WORD coords="1202,3965,1424,3903,3962">mezcla</WORD>
<WORD coords="1480,3964,1544,3923,3962">es</WORD>
<WORD coords="1597,3965,1658,3906,3964">lo</WORD>
<WORD coords="1704,3985,1823,3926,3966">que</WORD>
<WORD coords="1886,3970,2116,3908,3967">resulta</WORD>
<WORD coords="2171,3973,2246,3909,3970">de</WORD>
<WORD coords="2280,3965,2554,3915,3964">entreve»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1365,4070,1445,4016,4069">38</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0155.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0156.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0156.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1758,524,1984,424,522">146</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="710,646,819,599,644">rar</WORD>
<WORD coords="869,645,1128,584,643">muchos</WORD>
<WORD coords="1186,665,1442,602,642">géneros</WORD>
<WORD coords="1496,644,1574,585,643">de</WORD>
<WORD coords="1640,644,1945,584,642">diferente</WORD>
<WORD coords="2002,644,2352,585,642">naturaleza</WORD>
<WORD coords="2406,642,2446,606,642">o</WORD>
<WORD coords="2504,641,2745,580,639">calidad</WORD>
<WORD coords="2778,656,2793,628,649">,</WORD>
<WORD coords="2840,643,2885,605,643">o</WORD>
<WORD coords="2928,662,3068,601,642">prc»</WORD>
</LINE>
<LINE>
<WORD coords="712,752,833,693,750">ció.</WORD>
<WORD coords="925,771,1122,692,749">Regla</WORD>
<WORD coords="1176,752,1248,693,751">de</WORD>
<WORD coords="1289,771,1598,693,749">aligación</WORD>
<WORD coords="1646,750,1708,713,749">es</WORD>
<WORD coords="1745,750,1801,695,749">la</WORD>
<WORD coords="1841,772,1955,711,750">que</WORD>
<WORD coords="1997,750,2221,690,749">enseññ</WORD>
<WORD coords="2254,755,2277,712,753">;</WORD>
<WORD coords="2313,752,2379,697,750">1»</WORD>
<WORD coords="2443,723,2482,691,736">°</WORD>
<WORD coords="2535,746,2572,709,747">#</WORD>
<WORD coords="2612,748,2982,689,745">determinar</WORD>
<WORD coords="3011,748,3069,680,746">el</WORD>
</LINE>
<LINE>
<WORD coords="700,882,915,799,859">ftecio</WORD>
<WORD coords="968,858,1007,821,858">a</WORD>
<WORD coords="1063,881,1177,821,858">que</WORD>
<WORD coords="1208,858,1273,820,857">se</WORD>
<WORD coords="1318,858,1396,803,857">ha</WORD>
<WORD coords="1439,858,1510,801,857">de</WORD>
<WORD coords="1566,859,1787,801,856">vender</WORD>
<WORD coords="1839,858,1987,802,856">cada</WORD>
<WORD coords="2045,857,2281,798,855">unidad</WORD>
<WORD coords="2325,854,2396,798,854">de</WORD>
<WORD coords="2440,854,2560,815,853">una</WORD>
<WORD coords="2602,854,2823,795,851">mezcla</WORD>
<WORD coords="2856,869,2873,841,862">,</WORD>
<WORD coords="2919,855,3068,799,854">don*</WORD>
</LINE>
<LINE>
<WORD coords="710,963,785,904,961">de</WORD>
<WORD coords="828,963,953,905,962">han</WORD>
<WORD coords="1001,964,1253,907,963">entrado</WORD>
<WORD coords="1308,965,1519,909,963">varias</WORD>
<WORD coords="1577,965,1931,908,964">cantidades</WORD>
<WORD coords="1989,964,2062,907,964">de</WORD>
<WORD coords="2113,984,2410,905,962">diferente</WORD>
<WORD coords="2474,963,2642,904,961">valor</WORD>
<WORD coords="2660,974,2679,923,968">y</WORD>
<WORD coords="2716,960,2771,911,960">2,</WORD>
<WORD coords="2795,934,2834,904,948">°</WORD>
<WORD coords="2886,959,2922,923,959">a</WORD>
<WORD coords="2963,958,3062,903,958">de-</WORD>
</LINE>
<LINE>
<WORD coords="710,1070,1014,1016,1068">terminar</WORD>
<WORD coords="1064,1071,1137,1032,1070">en</WORD>
<WORD coords="1194,1094,1306,1031,1069">que</WORD>
<WORD coords="1362,1093,1738,1021,1071">proporción</WORD>
<WORD coords="1769,1071,1833,1035,1070">se</WORD>
<WORD coords="1864,1073,1987,1017,1072">han</WORD>
<WORD coords="2017,1071,2086,1016,1070">de</WORD>
<WORD coords="2145,1072,2411,1012,1069">mezclar</WORD>
<WORD coords="2461,1069,2549,1013,1068">las</WORD>
<WORD coords="2595,1068,2944,1007,1064">cantidades</WORD>
<WORD coords="2988,1066,3063,1009,1065">de</WORD>
</LINE>
<LINE>
<WORD coords="708,1196,1045,1114,1179">diferentes</WORD>
<WORD coords="1096,1197,1336,1122,1176">precios</WORD>
<WORD coords="1368,1190,1385,1165,1190">,</WORD>
<WORD coords="1438,1198,1604,1132,1177">para</WORD>
<WORD coords="1645,1182,1963,1121,1178">venderlas</WORD>
<WORD coords="2016,1178,2054,1142,1178">a</WORD>
<WORD coords="2105,1177,2183,1139,1176">un</WORD>
<WORD coords="2233,1197,2443,1118,1174">precio</WORD>
<WORD coords="2498,1175,2687,1117,1173">medio</WORD>
<WORD coords="2745,1175,3062,1113,1170">señalado*</WORD>
</LINE>
<LINE>
<WORD coords="707,1282,1002,1221,1280">Llamase</WORD>
<WORD coords="1048,1305,1258,1229,1282">precio</WORD>
<WORD coords="1313,1284,1498,1226,1283">medio</WORD>
<WORD coords="1551,1286,1611,1229,1285">el</WORD>
<WORD coords="1665,1304,1782,1248,1284">que</WORD>
<WORD coords="1846,1284,1909,1248,1283">es</WORD>
<WORD coords="1966,1285,2180,1245,1282">menor</WORD>
<WORD coords="2240,1301,2358,1245,1282">que</WORD>
<WORD coords="2410,1282,2489,1244,1281">un</WORD>
<WORD coords="2550,1299,2759,1220,1276">precio</WORD>
<WORD coords="2806,1277,2970,1220,1276">dado</WORD>
<WORD coords="3020,1298,3065,1236,1298">y</WORD>
</LINE>
<LINE>
<WORD coords="706,1407,927,1348,1388">mayor</WORD>
<WORD coords="973,1408,1094,1351,1389">que</WORD>
<WORD coords="1148,1390,1285,1343,1389">otro</WORD>
<WORD coords="1318,1396,1326,1358,1393">;</WORD>
<WORD coords="1380,1390,1467,1334,1389">asi</WORD>
<WORD coords="1519,1390,1558,1338,1390">6</WORD>
<WORD coords="1618,1407,1796,1353,1390">pesos</WORD>
<WORD coords="1850,1393,1987,1354,1391">sera</WORD>
<WORD coords="2046,1409,2253,1334,1388">precio</WORD>
<WORD coords="2312,1389,2521,1333,1388">medio</WORD>
<WORD coords="2583,1390,2755,1346,1389">entre</WORD>
<WORD coords="2818,1391,2894,1337,1390">10</WORD>
<WORD coords="2943,1406,2982,1348,1397">y</WORD>
<WORD coords="3025,1387,3071,1332,1387">4</WORD>
</LINE>
<LINE>
<WORD coords="707,1513,913,1452,1493">pesos.</WORD>
<WORD coords="1005,1516,1211,1439,1495">Según</WORD>
<WORD coords="1262,1497,1320,1440,1496">la</WORD>
<WORD coords="1381,1498,1711,1439,1497">definición</WORD>
<WORD coords="1757,1497,1915,1440,1497">dada</WORD>
<WORD coords="1944,1513,1962,1485,1505">,</WORD>
<WORD coords="1991,1497,2047,1441,1496">la</WORD>
<WORD coords="2108,1517,2277,1442,1495">regla</WORD>
<WORD coords="2335,1497,2414,1440,1497">de</WORD>
<WORD coords="2455,1518,2760,1441,1495">aligación</WORD>
<WORD coords="2819,1493,2883,1458,1493">se</WORD>
<WORD coords="2917,1492,3066,1454,1490">oca*</WORD>
</LINE>
<LINE>
<WORD coords="706,1619,789,1557,1600">pa</WORD>
<WORD coords="845,1602,922,1544,1602">de</WORD>
<WORD coords="982,1602,1096,1546,1601">dos</WORD>
<WORD coords="1155,1603,1328,1564,1602">casos</WORD>
<WORD coords="1362,1619,1380,1568,1612">;</WORD>
<WORD coords="1414,1605,1793,1549,1603">resolvamos</WORD>
<WORD coords="1847,1603,1903,1547,1603">el</WORD>
<WORD coords="1969,1604,2020,1555,1602">í.</WORD>
<WORD coords="2049,1585,2085,1549,1593">°</WORD>
<WORD coords="2154,1603,2470,1546,1601">mediante</WORD>
<WORD coords="2531,1601,2586,1547,1600">la</WORD>
<WORD coords="2648,1621,2942,1543,1598">siguientt</WORD>
<WORD coords="2962,1599,2979,1563,0">:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="958,1710,1285,1651,1708">Cuestión.</WORD>
<WORD coords="1382,1712,1483,1654,1711">Un</WORD>
<WORD coords="1529,1730,1842,1653,1708">panadero</WORD>
<WORD coords="1892,1709,1971,1653,1709">ha</WORD>
<WORD coords="2029,1711,2327,1652,1708">mezclado</WORD>
<WORD coords="2382,1708,2457,1658,1708">10</WORD>
<WORD coords="2496,1730,2774,1648,1710">fanegas</WORD>
<WORD coords="2828,1705,2900,1648,1704">de</WORD>
<WORD coords="2950,1707,3061,1650,1706">ha»</WORD>
</LINE>
<LINE>
<WORD coords="705,1816,851,1756,1814">tina</WORD>
<WORD coords="902,1814,974,1756,1813">de</WORD>
<WORD coords="1028,1816,1065,1778,1816">a</WORD>
<WORD coords="1115,1816,1155,1762,1816">6</WORD>
<WORD coords="1206,1836,1385,1772,1814">pesos</WORD>
<WORD coords="1416,1839,1664,1756,1820">fanega</WORD>
<WORD coords="1706,1816,1815,1779,1815">con</WORD>
<WORD coords="1862,1816,1903,1767,1816">4</WORD>
<WORD coords="1940,1836,2216,1758,1817">fanegas</WORD>
<WORD coords="2261,1813,2331,1757,1813">de</WORD>
<WORD coords="2388,1814,2612,1759,1812">harina</WORD>
<WORD coords="2675,1812,2745,1758,1812">de</WORD>
<WORD coords="2789,1811,2824,1774,1811">a</WORD>
<WORD coords="2870,1811,2904,1761,1812">3</WORD>
<WORD coords="2960,1832,3068,1767,1812">pe»</WORD>
</LINE>
<LINE>
<WORD coords="702,1919,805,1882,1918">sos</WORD>
<WORD coords="829,1942,1077,1861,1924">fanega</WORD>
<WORD coords="1110,1933,1128,1888,1926">;</WORD>
<WORD coords="1199,1920,1265,1883,1919">se</WORD>
<WORD coords="1297,1943,1611,1875,1920">pregunta</WORD>
<WORD coords="1657,1948,1836,1866,1920">¿cual</WORD>
<WORD coords="1890,1920,2030,1883,1919">sera</WORD>
<WORD coords="2080,1919,2135,1863,1918">el</WORD>
<WORD coords="2179,1939,2385,1866,1918">precio</WORD>
<WORD coords="2431,1920,2617,1862,1918">medio</WORD>
<WORD coords="2677,1920,2750,1862,1919">de</WORD>
<WORD coords="2791,1917,2939,1862,1916">cada</WORD>
<WORD coords="2950,1940,3071,1856,1929">fa«</WORD>
</LINE>
<LINE>
<WORD coords="705,2046,870,1984,2026">pega</WORD>
<WORD coords="917,2026,988,1971,2026">de</WORD>
<WORD coords="1031,2030,1258,1973,2025">mezcla</WORD>
<WORD coords="1290,2040,1306,2014,2034">,</WORD>
<WORD coords="1360,2028,1459,1970,2026">sin</WORD>
<WORD coords="1505,2049,1733,1973,2027">perder</WORD>
<WORD coords="1786,2027,1850,1972,2026">ni</WORD>
<WORD coords="1898,2049,2149,1967,2026">ganar?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="957,2135,1343,2076,2132">Resolución.</WORD>
<WORD coords="1433,2135,1525,2076,2134">La</WORD>
<WORD coords="1573,2136,1812,2079,2134">mezcla</WORD>
<WORD coords="1874,2135,1953,2078,2135">de</WORD>
<WORD coords="1990,2136,2031,2084,2136">4</WORD>
<WORD coords="2068,2154,2323,2071,2132">fanegas</WORD>
<WORD coords="2374,2133,2489,2094,2132">con</WORD>
<WORD coords="2539,2133,2616,2082,2132">10</WORD>
<WORD coords="2673,2149,2924,2072,2128">fanegas</WORD>
<WORD coords="2988,2130,3059,2088,2129">es</WORD>
</LINE>
<LINE>
<WORD coords="703,2261,817,2181,2261">4f</WORD>
<WORD coords="845,2263,927,2180,2263">-f-</WORD>
<WORD coords="988,2241,1062,2191,2262">10</WORD>
<WORD coords="1060,2262,1125,2181,2254">f</WORD>
<WORD coords="1159,2254,1179,2205,2247">;</WORD>
<WORD coords="1223,2241,1277,2184,2241">el</WORD>
<WORD coords="1311,2260,1519,2185,2240">precio</WORD>
<WORD coords="1565,2241,1641,2185,2241">de</WORD>
<WORD coords="1676,2241,1762,2187,2239">las</WORD>
<WORD coords="1802,2241,1873,2191,2240">10</WORD>
<WORD coords="1905,2261,2159,2181,2239">fanegas</WORD>
<WORD coords="2191,2241,2222,2186,2240">á</WORD>
<WORD coords="2251,2239,2288,2188,2239">6</WORD>
<WORD coords="2321,2256,2497,2202,2238">pesos</WORD>
<WORD coords="2532,2241,2598,2204,2240">es</WORD>
<WORD coords="2637,2259,2786,2174,2248">Wf.</WORD>
<WORD coords="2849,2233,2903,2175,2233">X</WORD>
<WORD coords="2936,2231,2972,2179,2235">6</WORD>
<WORD coords="2995,2256,3064,2198,2246">p*</WORD>
</LINE>
<LINE>
<WORD coords="704,2368,741,2306,2358">y</WORD>
<WORD coords="790,2348,844,2297,2346">el</WORD>
<WORD coords="877,2346,955,2296,2346">de</WORD>
<WORD coords="986,2346,1073,2291,2346">las</WORD>
<WORD coords="1102,2347,1144,2296,2347">4</WORD>
<WORD coords="1175,2362,1193,2334,2354">,</WORD>
<WORD coords="1222,2346,1250,2292,2346">á</WORD>
<WORD coords="1282,2348,1476,2308,2346">razón</WORD>
<WORD coords="1531,2347,1607,2291,2347">de</WORD>
<WORD coords="1656,2347,1690,2295,2347">3</WORD>
<WORD coords="1752,2364,1929,2308,2345">pesos</WORD>
<WORD coords="1986,2367,2204,2287,2345">fanega</WORD>
<WORD coords="2240,2361,2259,2334,2354">^</WORD>
<WORD coords="2286,2347,2351,2309,2346">es</WORD>
<WORD coords="2396,2367,2526,2287,2357">4/.</WORD>
<WORD coords="2590,2368,2663,2295,2358">^</WORD>
<WORD coords="2718,2348,2747,2299,2348">3</WORD>
<WORD coords="2772,2368,2835,2315,2353">p.</WORD>
<WORD coords="2880,2343,3060,2288,2343">Abo-</WORD>
</LINE>
<LINE>
<WORD coords="706,2455,775,2412,2453">fa</WORD>
<WORD coords="811,2470,829,2441,2462">,</WORD>
<WORD coords="867,2454,1049,2416,2453">como</WORD>
<WORD coords="1112,2452,1199,2398,2452">las</WORD>
<WORD coords="1234,2455,1536,2396,2453">unidades</WORD>
<WORD coords="1580,2454,1619,2398,2454">ó</WORD>
<WORD coords="1657,2473,1907,2393,2452">fanegas</WORD>
<WORD coords="1957,2452,2021,2418,2451">se</WORD>
<WORD coords="2052,2453,2171,2395,2453">han</WORD>
<WORD coords="2209,2454,2533,2398,2452">mezclado</WORD>
<WORD coords="2567,2464,2583,2441,2458">,</WORD>
<WORD coords="2613,2452,2676,2417,2451">se</WORD>
<WORD coords="2733,2474,2906,2398,2452">signe</WORD>
<WORD coords="2942,2471,3064,2410,2453">que</WORD>
</LINE>
<LINE>
<WORD coords="706,2560,980,2503,2558">también</WORD>
<WORD coords="1032,2561,1096,2523,2559">se</WORD>
<WORD coords="1153,2562,1275,2500,2559">han</WORD>
<WORD coords="1323,2559,1647,2503,2558">mezclado</WORD>
<WORD coords="1689,2558,1793,2523,2558">sus</WORD>
<WORD coords="1854,2575,2126,2503,2558">precios;</WORD>
<WORD coords="2197,2579,2377,2504,2557">luego</WORD>
<WORD coords="2421,2558,2496,2510,2558">10</WORD>
<WORD coords="2524,2580,2590,2500,2557">y*</WORD>
<WORD coords="2669,2577,2743,2503,2567">^</WORD>
<WORD coords="2797,2555,2832,2508,2556">6</WORD>
<WORD coords="2850,2580,2914,2526,2568">p,</WORD>
</LINE>
<LINE>
<WORD coords="708,2688,823,2607,2677">Af</WORD>
<WORD coords="870,2688,942,2611,2677">^</WORD>
<WORD coords="986,2664,1018,2614,2665">3</WORD>
<WORD coords="1043,2688,1088,2633,2684">p</WORD>
<WORD coords="1117,2680,1137,2652,2674">,</WORD>
<WORD coords="1168,2668,1406,2610,2664">mezcla</WORD>
<WORD coords="1443,2666,1519,2608,2665">de</WORD>
<WORD coords="1584,2665,1673,2611,2664">los</WORD>
<WORD coords="1709,2686,1946,2610,2664">precios</WORD>
<WORD coords="1981,2678,1996,2654,2672">,</WORD>
<WORD coords="2023,2665,2087,2630,2664">es</WORD>
<WORD coords="2134,2665,2189,2611,2664">el</WORD>
<WORD coords="2237,2681,2439,2608,2663">precio</WORD>
<WORD coords="2474,2664,2501,2619,2664">t</WORD>
<WORD coords="2527,2663,2621,2609,2662">&gt;tal</WORD>
<WORD coords="2658,2662,2732,2606,2661">de</WORD>
<WORD coords="2775,2686,2919,2603,2675">Wf</WORD>
<WORD coords="2984,2685,3068,2608,2685">-f~</WORD>
</LINE>
<LINE>
<WORD coords="708,2771,751,2720,2771">4</WORD>
<WORD coords="760,2794,825,2713,2794">f</WORD>
<WORD coords="866,2772,1098,2717,2770">mezcla</WORD>
<WORD coords="1131,2771,1207,2715,2771">de</WORD>
<WORD coords="1244,2771,1332,2716,2770">las</WORD>
<WORD coords="1366,2773,1692,2714,2770">unidades.</WORD>
<WORD coords="1741,2770,1891,2716,2769">Para</WORD>
<WORD coords="1922,2772,2116,2713,2769">hallar</WORD>
<WORD coords="2145,2771,2332,2714,2769">ahora</WORD>
<WORD coords="2362,2771,2416,2716,2770">el</WORD>
<WORD coords="2451,2770,2624,2716,2768">valor</WORD>
<WORD coords="2655,2766,2730,2713,2766">de</WORD>
<WORD coords="2763,2768,2911,2714,2765">cada</WORD>
<WORD coords="2946,2771,3072,2729,2769">una</WORD>
</LINE>
<LINE>
<WORD coords="719,2878,801,2821,2877">ele</WORD>
<WORD coords="860,2877,948,2822,2877">las</WORD>
<WORD coords="993,2900,1243,2819,2876">fanegas</WORD>
<WORD coords="1297,2879,1371,2822,2878">de</WORD>
<WORD coords="1421,2882,1659,2821,2876">mezcla</WORD>
<WORD coords="1695,2891,1711,2864,2883">,</WORD>
<WORD coords="1742,2876,2044,2818,2875">conocido</WORD>
<WORD coords="2094,2876,2148,2823,2875">el</WORD>
<WORD coords="2198,2876,2365,2823,2874">valor</WORD>
<WORD coords="2398,2875,2474,2822,2874">de</WORD>
<WORD coords="2508,2876,2684,2820,2874">todas</WORD>
<WORD coords="2719,2887,2734,2863,2881">,</WORD>
<WORD coords="2771,2876,3074,2817,2871">dividiré.</WORD>
</LINE>
<LINE>
<WORD coords="714,2988,851,2942,2985">Bnos</WORD>
<WORD coords="906,3005,1107,2931,2984">(75-4.</WORD>
<WORD coords="1198,3005,1225,2928,2990">)</WORD>
<WORD coords="1258,2984,1315,2929,2984">el</WORD>
<WORD coords="1372,2986,1541,2930,2983">valor</WORD>
<WORD coords="1600,2983,1677,2926,2983">de</WORD>
<WORD coords="1724,2983,1905,2925,2981">todas</WORD>
<WORD coords="1941,2997,2050,2943,2984">por</WORD>
<WORD coords="2079,2981,2133,2926,2981">la</WORD>
<WORD coords="2167,2983,2341,2945,2981">suma</WORD>
<WORD coords="2375,2981,2449,2926,2980">de</WORD>
<WORD coords="2486,2981,2570,2926,2980">las</WORD>
<WORD coords="2624,3001,2869,2922,2978">fanegas</WORD>
<WORD coords="2903,2991,2917,2970,2991">,</WORD>
<WORD coords="2951,2996,3072,2944,2983">que</WORD>
</LINE>
<LINE>
<WORD coords="710,3097,873,3051,3087">sera,</WORD>
<WORD coords="897,3090,1207,3034,3089">llamando</WORD>
<WORD coords="1235,3094,1282,3054,3094">x</WORD>
<WORD coords="1310,3092,1365,3036,3092">el</WORD>
<WORD coords="1393,3109,1599,3033,3090">precio</WORD>
<WORD coords="1629,3091,1839,3032,3090">medio</WORD>
<WORD coords="1868,3105,2164,3034,3089">buscado,</WORD>
<WORD coords="2190,3089,2234,3050,3089">x</WORD>
<WORD coords="2270,3083,2376,3045,3086">=</WORD>
<WORD coords="2427,3108,2709,3029,3091">íCfXGp.</WORD>
<WORD coords="2754,3097,2793,3034,3097">+</WORD>
<WORD coords="2817,3110,3078,3029,3096">4fX.üp*</WORD>
</LINE>
<LINE>
<WORD coords="711,3191,821,3148,3191">e=s</WORD>
<WORD coords="866,3195,901,3147,3195">5</WORD>
<WORD coords="954,3216,1132,3158,3195">pesos</WORD>
<WORD coords="1177,3222,1254,3141,3222">-J-</WORD>
<WORD coords="1307,3197,1331,3149,3197">1</WORD>
<WORD coords="1390,3198,1461,3141,3198">de</WORD>
<WORD coords="1492,3220,1665,3157,3197">pese*</WORD>
<WORD coords="2500,3194,2575,3142,3214">10</WORD>
<WORD coords="2570,3214,2634,3135,3202">f</WORD>
<WORD coords="2683,3202,2725,3135,3202">f</WORD>
<WORD coords="2773,3214,2889,3134,3199">4/!</WORD>
</LINE>
<LINE>
<WORD coords="1298,3306,1334,3251,3306">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="963,3406,1175,3326,3384">Regla,</WORD>
<WORD coords="1275,3387,1443,3333,3386">tara</WORD>
<WORD coords="1500,3387,1699,3329,3385">hallar</WORD>
<WORD coords="1757,3385,1812,3327,3384">el</WORD>
<WORD coords="1850,3406,2058,3338,3383">precio</WORD>
<WORD coords="2093,3384,2279,3325,3382">medio</WORD>
<WORD coords="2338,3383,2375,3345,3383">a</WORD>
<WORD coords="2431,3405,2543,3342,3380">que</WORD>
<WORD coords="2594,3376,2658,3341,3375">se</WORD>
<WORD coords="2705,3380,2783,3325,3380">ha</WORD>
<WORD coords="2828,3381,2897,3323,3380">de</WORD>
<WORD coords="2927,3384,3070,3342,3382">ven-</WORD>
</LINE>
<LINE>
<WORD coords="707,3490,821,3429,3487">der</WORD>
<WORD coords="864,3491,1017,3434,3488">cada</WORD>
<WORD coords="1056,3492,1293,3434,3490">unidad</WORD>
<WORD coords="1340,3492,1413,3436,3492">de</WORD>
<WORD coords="1465,3493,1585,3454,3492">una</WORD>
<WORD coords="1642,3493,1865,3432,3491">mezcla</WORD>
<WORD coords="1897,3507,1915,3480,3498">,</WORD>
<WORD coords="1938,3490,2176,3432,3489">sabides</WORD>
<WORD coords="2234,3488,2319,3433,3487">los</WORD>
<WORD coords="2371,3506,2607,3433,3484">precios</WORD>
<WORD coords="2660,3484,2731,3430,3483">de</WORD>
<WORD coords="2788,3483,2875,3430,3482">las</WORD>
<WORD coords="2924,3485,3067,3447,3484">can»</WORD>
</LINE>
<LINE>
<WORD coords="711,3593,949,3536,3591">ttdadrs</WORD>
<WORD coords="1005,3618,1118,3559,3595">que</WORD>
<WORD coords="1169,3598,1236,3560,3597">se</WORD>
<WORD coords="1287,3600,1553,3544,3598">mezclan</WORD>
<WORD coords="1579,3599,1601,3563,3598">:</WORD>
<WORD coords="1656,3598,1722,3561,3597">se</WORD>
<WORD coords="1777,3599,2043,3540,3596">dividirá</WORD>
<WORD coords="2089,3596,2147,3539,3596">la</WORD>
<WORD coords="2189,3594,2359,3554,3593">suma</WORD>
<WORD coords="2429,3592,2500,3536,3591">de</WORD>
<WORD coords="2559,3590,2643,3536,3588">los</WORD>
<WORD coords="2696,3609,2934,3535,3588">precios</WORD>
<WORD coords="2994,3590,3069,3532,3589">de</WORD>
</LINE>
<LINE>
<WORD coords="708,3701,806,3643,3700">das</WORD>
<WORD coords="850,3702,1202,3644,3700">cantidades</WORD>
<WORD coords="1247,3724,1370,3657,3703">par</WORD>
<WORD coords="1430,3706,1489,3649,3705">la</WORD>
<WORD coords="1544,3706,1713,3668,3704">suma</WORD>
<WORD coords="1771,3704,1841,3649,3703">de</WORD>
<WORD coords="1897,3703,2061,3647,3702">ellas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="972,3806,1171,3752,3805">Antes</WORD>
<WORD coords="1224,3810,1302,3752,3809">de</WORD>
<WORD coords="1350,3827,1530,3773,3810">pasar</WORD>
<WORD coords="1580,3810,1633,3756,3809">al</WORD>
<WORD coords="1681,3812,1739,3763,3809">2.</WORD>
<WORD coords="1765,3791,1800,3756,3798">°</WORD>
<WORD coords="1827,3810,1967,3773,3809">caso</WORD>
<WORD coords="1999,3824,2017,3795,3822">,</WORD>
<WORD coords="2048,3821,2561,3746,3803">antepondremos</WORD>
<WORD coords="2621,3800,2677,3745,3800">el</WORD>
<WORD coords="2732,3821,3067,3742,3799">siguiente;</WORD>
</LINE>
<LINE>
<WORD coords="809,3914,927,3857,3912">187</WORD>
<WORD coords="1037,3913,1251,3855,3910">Lema.</WORD>
<WORD coords="1344,3917,1435,3857,3916">La</WORD>
<WORD coords="1462,3939,1798,3857,3916">diferencia</WORD>
<WORD coords="1854,3915,1925,3858,3914">de</WORD>
<WORD coords="1967,3913,2071,3858,3912">des</WORD>
<WORD coords="2127,3911,2158,3875,3911">o</WORD>
<WORD coords="2216,3909,2342,3873,3908">mas</WORD>
<WORD coords="2379,3929,2707,3854,3907">productos</WORD>
<WORD coords="2740,3918,2756,3893,3918">,</WORD>
<WORD coords="2799,3925,2911,3866,3905">que</WORD>
<WORD coords="2962,3906,3073,3861,3903">tie»</WORD>
</LINE>
<LINE>
<WORD coords="709,4023,839,3974,4021">iisn</WORD>
<WORD coords="892,4021,976,3979,4020">un</WORD>
<WORD coords="1011,4043,1233,3957,4023">factor</WORD>
<WORD coords="1276,4043,1535,3982,4023">común,</WORD>
<WORD coords="1563,4024,1623,3985,4024">es</WORD>
<WORD coords="1682,4046,1854,3966,4024">igual</WORD>
<WORD coords="1901,4023,1940,3984,4023">a</WORD>
<WORD coords="1982,4022,2040,3963,4021">la</WORD>
<WORD coords="2094,4044,2428,3960,4020">diferencia</WORD>
<WORD coords="2477,4019,2550,3957,4018">de</WORD>
<WORD coords="2604,4017,2690,3964,4015">ios</WORD>
<WORD coords="2731,4035,3068,3954,4013">odos/ac*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0156.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0157.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0157.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1310,524,1526,424,521">14?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="225,647,394,595,644">teres</WORD>
<WORD coords="451,660,860,577,637">multiplicada</WORD>
<WORD coords="911,659,1030,588,636">por</WORD>
<WORD coords="1081,635,1139,579,634">el</WORD>
<WORD coords="1166,661,1382,575,642">factor</WORD>
<WORD coords="1451,643,1682,601,639">común.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="483,767,885,691,744">Explicación.</WORD>
<WORD coords="977,742,1134,687,741">Sean</WORD>
<WORD coords="1181,742,1273,687,740">loa</WORD>
<WORD coords="1304,759,1632,688,744">productos</WORD>
<WORD coords="1664,744,1698,697,746">5</WORD>
<WORD coords="1752,767,1826,693,758">^</WORD>
<WORD coords="1870,748,1906,699,748">2</WORD>
<WORD coords="1948,766,1984,711,757">y</WORD>
<WORD coords="2023,748,2057,699,748">3</WORD>
<WORD coords="2123,774,2197,700,774">X</WORD>
<WORD coords="2227,754,2261,706,754">2</WORD>
<WORD coords="2308,774,2426,719,759">que</WORD>
<WORD coords="2469,763,2584,704,761">tle«</WORD>
</LINE>
<LINE>
<WORD coords="230,856,352,816,854">lien</WORD>
<WORD coords="408,853,462,797,852">el</WORD>
<WORD coords="514,853,714,795,850">factor</WORD>
<WORD coords="795,850,1020,809,848">Común</WORD>
<WORD coords="1076,849,1112,800,852">2</WORD>
<WORD coords="1165,855,1187,815,855">;</WORD>
<WORD coords="1239,868,1361,812,848">voy</WORD>
<WORD coords="1419,849,1447,799,852">á</WORD>
<WORD coords="1524,855,1871,797,851">demostrar</WORD>
<WORD coords="1942,872,2058,818,854">que</WORD>
<WORD coords="2119,858,2189,821,857">su</WORD>
<WORD coords="2240,869,2579,807,863">diferencia</WORD>
</LINE>
<LINE>
<WORD coords="231,960,268,909,960">5</WORD>
<WORD coords="326,978,395,906,978">X</WORD>
<WORD coords="447,958,483,910,958">2</WORD>
<WORD coords="538,950,617,937,957">—</WORD>
<WORD coords="668,956,702,905,958">3</WORD>
<WORD coords="780,978,853,904,969">^</WORD>
<WORD coords="890,955,923,909,958">2</WORD>
<WORD coords="972,954,1038,917,954">es</WORD>
<WORD coords="1099,975,1264,898,953">igual</WORD>
<WORD coords="1311,956,1344,901,958">á</WORD>
<WORD coords="1392,955,1447,900,954">la</WORD>
<WORD coords="1507,959,1843,899,956">diferencia</WORD>
<WORD coords="1900,959,1934,912,960">5</WORD>
<WORD coords="1965,949,2045,932,955">—</WORD>
<WORD coords="2075,961,2107,912,961">3</WORD>
<WORD coords="2169,966,2246,910,965">de</WORD>
<WORD coords="2305,968,2395,914,967">los</WORD>
<WORD coords="2453,970,2582,915,970">ía&apos;*</WORD>
</LINE>
<LINE>
<WORD coords="236,1068,402,1020,1064">tores</WORD>
<WORD coords="450,1064,484,1018,1065">5</WORD>
<WORD coords="526,1083,561,1028,1074">y</WORD>
<WORD coords="623,1063,655,1013,1064">3</WORD>
<WORD coords="718,1082,1141,1006,1061">multiplicada</WORD>
<WORD coords="1193,1083,1303,1023,1061">por</WORD>
<WORD coords="1350,1062,1406,1006,1061">el</WORD>
<WORD coords="1468,1064,1663,1004,1062">factor</WORD>
<WORD coords="1713,1069,1936,1027,1065">común</WORD>
<WORD coords="1995,1069,2031,1023,1069">2</WORD>
<WORD coords="2070,1083,2086,1056,1077">,</WORD>
<WORD coords="2127,1071,2165,1016,1071">ó</WORD>
<WORD coords="2217,1076,2283,1040,1076">es</WORD>
<WORD coords="2342,1098,2504,1020,1076">igial</WORD>
<WORD coords="2539,1083,2573,1043,1083">a</WORD>
</LINE>
<LINE>
<WORD coords="227,1197,301,1120,1180">(5</WORD>
<WORD coords="357,1166,442,1147,1168">—</WORD>
<WORD coords="496,1182,564,1117,1178">3)</WORD>
<WORD coords="615,1190,681,1121,1190">X</WORD>
<WORD coords="734,1172,793,1125,1171">2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="482,1281,971,1222,1278">Demostración.</WORD>
<WORD coords="1064,1280,1262,1224,1278">Como</WORD>
<WORD coords="1307,1280,1363,1223,1280">el</WORD>
<WORD coords="1421,1299,1721,1225,1280">producto</WORD>
<WORD coords="1773,1283,1852,1245,1283">no</WORD>
<WORD coords="1896,1285,1962,1247,1284">es</WORD>
<WORD coords="1997,1286,2125,1248,1285">mas</WORD>
<WORD coords="2175,1307,2295,1252,1290">que</WORD>
<WORD coords="2323,1292,2439,1256,1291">una</WORD>
<WORD coords="2470,1296,2572,1254,1294">su-</WORD>
</LINE>
<LINE>
<WORD coords="229,1392,330,1349,1389">ma</WORD>
<WORD coords="361,1407,379,1376,1399">,</WORD>
<WORD coords="409,1391,763,1334,1389">tendremos</WORD>
<WORD coords="808,1409,926,1353,1389">que</WORD>
<WORD coords="958,1415,1183,1341,1397">5^2</WORD>
<WORD coords="1218,1393,1351,1355,1391">sera</WORD>
<WORD coords="1382,1392,1440,1339,1392">lo</WORD>
<WORD coords="1471,1396,1694,1341,1395">mismo</WORD>
<WORD coords="1726,1414,1842,1357,1397">que</WORD>
<WORD coords="1876,1398,1911,1351,1398">5</WORD>
<WORD coords="1955,1425,2102,1341,1413">^5</WORD>
<WORD coords="2135,1416,2219,1360,1406">j</WORD>
<WORD coords="2254,1396,2287,1349,1396">3</WORD>
<WORD coords="2459,1398,2583,1345,1397">¿lo</WORD>
</LINE>
<LINE>
<WORD coords="229,1500,459,1444,1498">mismo</WORD>
<WORD coords="514,1516,631,1462,1498">que</WORD>
<WORD coords="661,1497,695,1448,1499">3</WORD>
<WORD coords="724,1513,771,1446,1513">«f</WORD>
<WORD coords="804,1497,835,1449,1499">3</WORD>
<WORD coords="862,1520,879,1467,1520">¿</WORD>
<WORD coords="918,1524,1097,1446,1497">luego</WORD>
<WORD coords="1145,1501,1196,1447,1499">la</WORD>
<WORD coords="1227,1501,1564,1444,1499">diferencia</WORD>
<WORD coords="1597,1505,1673,1446,1503">de</WORD>
<WORD coords="1706,1505,1868,1464,1503">estos</WORD>
<WORD coords="1938,1525,2026,1469,1504">pu</WORD>
<WORD coords="2050,1507,2222,1452,1505">ducte</WORD>
<WORD coords="2242,1504,2265,1470,1504">s</WORD>
<WORD coords="2293,1504,2356,1469,1504">se</WORD>
<WORD coords="2397,1520,2586,1450,1504">podra</WORD>
</LINE>
<LINE>
<WORD coords="233,1623,517,1568,1603">espresar</WORD>
<WORD coords="550,1604,625,1549,1604">de</WORD>
<WORD coords="655,1607,783,1560,1604">este</WORD>
<WORD coords="819,1605,1005,1549,1603">modo</WORD>
<WORD coords="1041,1623,1230,1550,1617">(5-f5)</WORD>
<WORD coords="1238,1595,1310,1583,1623">—</WORD>
<WORD coords="1319,1623,1439,1555,1609">(3+</WORD>
<WORD coords="1446,1626,1536,1549,1613">3):</WORD>
<WORD coords="1571,1608,1622,1553,1606">si</WORD>
<WORD coords="1656,1607,1729,1571,1607">en</WORD>
<WORD coords="1761,1610,1885,1565,1608">esta</WORD>
<WORD coords="1934,1628,2249,1555,1609">espresion</WORD>
<WORD coords="2281,1611,2579,1568,1609">restamos</WORD>
</LINE>
<LINE>
<WORD coords="232,1711,386,1656,1711">cada</WORD>
<WORD coords="418,1730,587,1665,1710">parte</WORD>
<WORD coords="632,1710,730,1655,1710">del</WORD>
<WORD coords="787,1717,1152,1657,1712">sustraendo</WORD>
<WORD coords="1207,1713,1284,1657,1712">de</WORD>
<WORD coords="1339,1716,1491,1658,1713">cada</WORD>
<WORD coords="1543,1732,1708,1671,1713">parte</WORD>
<WORD coords="1757,1717,1857,1660,1715">del</WORD>
<WORD coords="1890,1717,2224,1660,1715">minuendo</WORD>
<WORD coords="2255,1729,2273,1702,1721">,</WORD>
<WORD coords="2304,1714,2359,1661,1713">la</WORD>
<WORD coords="2405,1718,2584,1678,1715">suma</WORD>
</LINE>
<LINE>
<WORD coords="232,1818,311,1761,1818">de</WORD>
<WORD coords="365,1818,524,1773,1817">estas</WORD>
<WORD coords="583,1819,956,1760,1817">diferencias</WORD>
<WORD coords="1014,1835,1306,1763,1818">parciales</WORD>
<WORD coords="1366,1820,1501,1782,1818">sera</WORD>
<WORD coords="1562,1840,1728,1764,1819">igual</WORD>
<WORD coords="1786,1821,1817,1767,1820">á</WORD>
<WORD coords="1862,1820,1917,1765,1820">la</WORD>
<WORD coords="1962,1826,2305,1763,1821">diferencia</WORD>
<WORD coords="2364,1823,2441,1767,1822">de</WORD>
<WORD coords="2489,1824,2583,1768,1823">los</WORD>
</LINE>
<LINE>
<WORD coords="230,1924,413,1867,1923">todos</WORD>
<WORD coords="440,1941,462,1911,1941">y</WORD>
<WORD coords="537,1949,721,1870,1923">luego</WORD>
<WORD coords="777,1945,844,1875,1931">(5</WORD>
<WORD coords="876,1917,955,1903,1921">—</WORD>
<WORD coords="986,1943,1053,1867,1933">3)</WORD>
<WORD coords="1104,1928,1144,1868,1928">t</WORD>
<WORD coords="1191,1939,1258,1876,1926">(S</WORD>
<WORD coords="1303,1915,1383,1899,1920">—</WORD>
<WORD coords="1438,1942,1505,1875,1930">3)</WORD>
<WORD coords="1561,1926,1624,1890,1925">es</WORD>
<WORD coords="1693,1927,1751,1870,1927">ia</WORD>
<WORD coords="1803,1931,2144,1868,1926">diferencia</WORD>
<WORD coords="2200,1928,2280,1869,1927">de</WORD>
<WORD coords="2340,1929,2430,1872,1927">los</WORD>
<WORD coords="2486,1929,2584,1884,1928">to-</WORD>
</LINE>
<LINE>
<WORD coords="225,2030,343,1971,2029">dos</WORD>
<WORD coords="377,2047,394,2018,2039">,</WORD>
<WORD coords="448,2031,485,1975,2031">ó</WORD>
<WORD coords="543,2048,872,1976,2030">productos</WORD>
<WORD coords="907,2045,924,1998,2045">;</WORD>
<WORD coords="973,2050,1118,1995,2032">pero</WORD>
<WORD coords="1164,2052,1232,1980,2038">(5</WORD>
<WORD coords="1286,2024,1366,2010,2028">—</WORD>
<WORD coords="1417,2049,1484,1979,2043">3)</WORD>
<WORD coords="1557,2052,1599,1988,2052">-f-</WORD>
<WORD coords="1647,2052,1716,1978,2040">($</WORD>
<WORD coords="1765,2025,1845,2009,2028">—</WORD>
<WORD coords="1890,2050,1959,1980,2038">3)</WORD>
<WORD coords="1990,2033,2056,1996,2033">es</WORD>
<WORD coords="2090,2033,2148,1977,2032">lo</WORD>
<WORD coords="2204,2040,2425,1980,2036">mismo</WORD>
<WORD coords="2457,2056,2583,1999,2036">que</WORD>
</LINE>
<LINE>
<WORD coords="220,2161,293,2084,2145">{5</WORD>
<WORD coords="338,2128,421,2112,2133">—</WORD>
<WORD coords="471,2155,536,2085,2146">3)</WORD>
<WORD coords="596,2149,663,2085,2149">X</WORD>
<WORD coords="718,2137,750,2092,2138">2</WORD>
<WORD coords="783,2154,801,2103,2154">i</WORD>
<WORD coords="853,2162,1032,2083,2136">luego</WORD>
<WORD coords="1080,2138,1136,2082,2137">la</WORD>
<WORD coords="1178,2160,1558,2079,2139">diferencia,</WORD>
<WORD coords="1604,2143,1727,2084,2138">&amp;e,</WORD>
<WORD coords="1785,2142,1861,2081,2142">L.</WORD>
<WORD coords="1915,2154,1978,2084,2146">Q</WORD>
<WORD coords="2068,2139,2145,2084,2139">D.</WORD>
<WORD coords="2213,2142,2293,2083,2139">D.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="319,2243,458,2193,2242">188.</WORD>
<WORD coords="548,2245,850,2187,2242">Cuestión</WORD>
<WORD coords="912,2245,963,2196,2244">i.</WORD>
<WORD coords="1120,2246,1218,2189,2244">£7n</WORD>
<WORD coords="1258,2269,1678,2188,2245">Moqueguano</WORD>
<WORD coords="1739,2247,1903,2190,2245">tiene</WORD>
<WORD coords="1926,2248,2029,2192,2246">dos</WORD>
<WORD coords="2078,2247,2269,2189,2245">clases</WORD>
<WORD coords="2310,2244,2379,2188,2243">de</WORD>
<WORD coords="2418,2244,2560,2189,2243">vino</WORD>
<WORD coords="2564,2257,2591,2225,2257">%</WORD>
</LINE>
<LINE>
<WORD coords="232,2348,351,2307,2346">uno</WORD>
<WORD coords="408,2347,477,2291,2347">de</WORD>
<WORD coords="523,2347,560,2312,2347">a</WORD>
<WORD coords="589,2345,624,2296,2347">9</WORD>
<WORD coords="644,2369,826,2302,2348">pesos</WORD>
<WORD coords="873,2369,912,2311,2359">y</WORD>
<WORD coords="973,2350,1102,2303,2348">otro</WORD>
<WORD coords="1161,2349,1232,2294,2348">de</WORD>
<WORD coords="1275,2351,1311,2315,2351">a</WORD>
<WORD coords="1355,2351,1395,2302,2351">4</WORD>
<WORD coords="1435,2372,1613,2306,2350">/freses</WORD>
<WORD coords="1664,2371,1782,2307,2353">por</WORD>
<WORD coords="1824,2354,2066,2296,2352">arroba.</WORD>
<WORD coords="2159,2377,2391,2294,2350">§¡¿nere</WORD>
<WORD coords="2420,2354,2580,2313,2351">mez-</WORD>
</LINE>
<LINE>
<WORD coords="229,2451,359,2398,2451">clar</WORD>
<WORD coords="412,2451,468,2399,2451">el</WORD>
<WORD coords="515,2453,655,2400,2453">vhio</WORD>
<WORD coords="689,2476,852,2411,2454">para</WORD>
<WORD coords="906,2457,1130,2400,2456">vender</WORD>
<WORD coords="1179,2457,1236,2415,2457">la</WORD>
<WORD coords="1289,2459,1511,2402,2458">arreba</WORD>
<WORD coords="1566,2461,1629,2402,2459">al</WORD>
<WORD coords="1679,2474,1882,2404,2458">precio</WORD>
<WORD coords="1929,2460,2118,2407,2458">medio</WORD>
<WORD coords="2175,2458,2244,2402,2457">de</WORD>
<WORD coords="2303,2459,2339,2405,2459">7</WORD>
<WORD coords="2377,2476,2582,2413,2456">peso?,</WORD>
</LINE>
<LINE>
<WORD coords="225,2556,325,2504,2555">sin</WORD>
<WORD coords="369,2580,590,2504,2558">perder</WORD>
<WORD coords="648,2560,722,2505,2559">ni</WORD>
<WORD coords="756,2583,966,2524,2562">ganar</WORD>
<WORD coords="994,2570,1019,2528,2570">;</WORD>
<WORD coords="1050,2594,1349,2518,2565">¿cuantas</WORD>
<WORD coords="1405,2570,1644,2518,2567">tomara</WORD>
<WORD coords="1677,2569,1772,2510,2568">del</WORD>
<WORD coords="1802,2591,2083,2511,2565">primero</WORD>
<WORD coords="2125,2589,2170,2526,2578">y</WORD>
<WORD coords="2196,2568,2448,2516,2564">cuantas</WORD>
<WORD coords="2483,2562,2583,2504,2562">del</WORD>
</LINE>
<LINE>
<WORD coords="225,2691,540,2608,2664">segundo?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="490,2777,579,2722,2776">La</WORD>
<WORD coords="633,2782,913,2724,2780">cuestión</WORD>
<WORD coords="958,2784,1024,2746,2784">se</WORD>
<WORD coords="1078,2788,1320,2729,2785">escribe</WORD>
<WORD coords="1352,2800,1370,2772,2793">,</WORD>
<WORD coords="1396,2787,1579,2747,2785">como</WORD>
<WORD coords="1634,2789,1700,2748,2788">se</WORD>
<WORD coords="1742,2788,1816,2747,2787">ve</WORD>
<WORD coords="1856,2786,1887,2728,2786">á</WORD>
<WORD coords="1944,2789,2003,2728,2787">ta</WORD>
<WORD coords="2323,2812,2461,2733,2812">f&quot;9^</WORD>
<WORD coords="2532,2788,2583,2749,2787">oc</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="232,2879,496,2801,2857">rnarjen.</WORD>
<WORD coords="2209,2869,2246,2813,2869">f</WORD>
<WORD coords="2289,2891,2333,2814,2891">^</WORD>
<WORD coords="2447,2891,2493,2815,2891">J&gt;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="479,2946,854,2886,2943">Resolución.</WORD>
<WORD coords="948,2952,1306,2892,2950">Llamemos</WORD>
<WORD coords="1351,2952,1397,2914,2952">x</WORD>
<WORD coords="1435,2953,1520,2896,2951">las</WORD>
<WORD coords="1581,2953,1830,2897,2952">arrobas</WORD>
<WORD coords="1877,2969,1999,2912,2951">que</WORD>
<WORD coords="2319,2969,2458,2894,2969">^4J</WORD>
<WORD coords="2534,2955,2579,2907,2955">Z</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="225,3048,305,2987,3047">ha</WORD>
<WORD coords="360,3050,439,2991,3048">de</WORD>
<WORD coords="491,3054,689,3006,3050">tomar</WORD>
<WORD coords="742,3054,844,2998,3054">del</WORD>
<WORD coords="894,3056,1039,3000,3054">vino</WORD>
<WORD coords="1088,3075,1206,3019,3058">que</WORD>
<WORD coords="1254,3059,1385,3002,3058">vale</WORD>
<WORD coords="1436,3058,1471,3007,3058">9</WORD>
<WORD coords="1530,3077,1707,3021,3058">pesos</WORD>
<WORD coords="1741,3073,1759,3046,3073">,</WORD>
<WORD coords="1800,3078,1842,3022,3068">y</WORD>
<WORD coords="1886,3059,1924,3020,3059">z</WORD>
<WORD coords="1960,3057,2046,3002,3056">las</WORD>
<WORD coords="2081,3076,2197,3019,3057">que</WORD>
<WORD coords="2246,3056,2316,2999,3055">ha</WORD>
<WORD coords="2364,3058,2439,3001,3057">de</WORD>
<WORD coords="2480,3058,2571,3015,3057">to-</WORD>
</LINE>
<LINE>
<WORD coords="226,3152,360,3115,3151">mar</WORD>
<WORD coords="424,3154,523,3099,3153">del</WORD>
<WORD coords="583,3173,703,3121,3157">que</WORD>
<WORD coords="761,3159,895,3107,3158">vale</WORD>
<WORD coords="941,3162,981,3111,3162">4</WORD>
<WORD coords="1028,3179,1226,3127,3161">pesos.</WORD>
<WORD coords="1325,3165,1402,3109,3164">El</WORD>
<WORD coords="1455,3182,1659,3110,3163">precio</WORD>
<WORD coords="1705,3166,1857,3109,3164">total</WORD>
<WORD coords="1915,3163,1993,3110,3162">de</WORD>
<WORD coords="2047,3163,2135,3107,3163">las</WORD>
<WORD coords="2207,3164,2452,3107,3162">arrobas</WORD>
<WORD coords="2527,3165,2576,3126,3165">x</WORD>
</LINE>
<LINE>
<WORD coords="224,3261,394,3215,3258">antes</WORD>
<WORD coords="426,3262,503,3203,3260">de</WORD>
<WORD coords="545,3264,600,3206,3263">la</WORD>
<WORD coords="635,3268,871,3211,3264">mezcla</WORD>
<WORD coords="928,3268,992,3231,3267">es</WORD>
<WORD coords="1019,3266,1062,3231,3266">x</WORD>
<WORD coords="1114,3288,1184,3217,3288">X</WORD>
<WORD coords="1213,3268,1250,3218,3268">9</WORD>
<WORD coords="1281,3288,1299,3258,3282">*</WORD>
<WORD coords="1344,3288,1381,3235,3288">F</WORD>
<WORD coords="1438,3272,1488,3218,3270">el</WORD>
<WORD coords="1521,3271,1596,3216,3271">de</WORD>
<WORD coords="1632,3271,1716,3217,3269">las</WORD>
<WORD coords="1765,3271,2011,3214,3269">arrobas</WORD>
<WORD coords="2056,3283,2129,3233,3272">z,</WORD>
<WORD coords="2171,3269,2239,3233,3268">es</WORD>
<WORD coords="2287,3271,2326,3232,3271">z</WORD>
<WORD coords="2387,3286,2455,3217,3286">X</WORD>
<WORD coords="2508,3284,2572,3222,3277">4;</WORD>
</LINE>
<LINE>
<WORD coords="224,3366,402,3327,3364">como</WORD>
<WORD coords="444,3370,607,3324,3368">estaá</WORD>
<WORD coords="665,3373,917,3317,3370">arrobas</WORD>
<WORD coords="967,3374,1030,3339,3373">se</WORD>
<WORD coords="1077,3375,1196,3317,3374">han</WORD>
<WORD coords="1249,3378,1573,3321,3376">mezclado</WORD>
<WORD coords="1604,3391,1620,3366,3391">%</WORD>
<WORD coords="1649,3377,1920,3321,3376">también</WORD>
<WORD coords="1968,3376,2032,3340,3375">se</WORD>
<WORD coords="2083,3375,2201,3317,3374">han</WORD>
<WORD coords="2250,3381,2571,3323,3375">mezclado</WORD>
</LINE>
<LINE>
<WORD coords="215,3473,322,3432,3471">sus</WORD>
<WORD coords="364,3474,600,3416,3472">valores</WORD>
<WORD coords="632,3478,849,3422,3475">totales</WORD>
<WORD coords="878,3489,914,3442,3484">y</WORD>
<WORD coords="945,3480,999,3424,3479">la</WORD>
<WORD coords="1033,3481,1265,3428,3479">mésela</WORD>
<WORD coords="1293,3482,1370,3426,3481">de</WORD>
<WORD coords="1404,3481,1640,3430,3480">valores</WORD>
<WORD coords="1673,3484,1738,3446,3482">es</WORD>
<WORD coords="1768,3480,1812,3444,3480">x</WORD>
<WORD coords="1866,3499,1933,3430,3499">X</WORD>
<WORD coords="1987,3479,2026,3427,3479">9</WORD>
<WORD coords="2072,3494,2115,3431,3487">+</WORD>
<WORD coords="2143,3480,2198,3428,3480">Z</WORD>
<WORD coords="2228,3502,2292,3439,3502">X</WORD>
<WORD coords="2335,3482,2370,3432,3482">^</WORD>
<WORD coords="2441,3485,2565,3429,3483">Co-</WORD>
</LINE>
<LINE>
<WORD coords="215,3577,319,3539,3576">rno</WORD>
<WORD coords="368,3578,519,3522,3577">cada</WORD>
<WORD coords="566,3584,784,3527,3580">arroba</WORD>
<WORD coords="820,3604,1084,3529,3584">después</WORD>
<WORD coords="1128,3587,1206,3530,3586">de</WORD>
<WORD coords="1243,3587,1294,3533,3586">la</WORD>
<WORD coords="1330,3588,1565,3532,3585">mezcla</WORD>
<WORD coords="1612,3586,1690,3530,3586">ha</WORD>
<WORD coords="1738,3588,1814,3531,3586">de</WORD>
<WORD coords="1860,3586,2025,3530,3585">valer</WORD>
<WORD coords="2060,3587,2091,3534,3587">7</WORD>
<WORD coords="2125,3601,2300,3548,3584">pesos</WORD>
<WORD coords="2332,3602,2351,3573,3595">,</WORD>
<WORD coords="2377,3589,2571,3531,3585">resul-</WORD>
</LINE>
<LINE>
<WORD coords="219,3686,277,3640,3684">ta</WORD>
<WORD coords="328,3700,445,3648,3687">que</WORD>
<WORD coords="480,3688,535,3631,3687">el</WORD>
<WORD coords="570,3690,741,3635,3688">valor</WORD>
<WORD coords="784,3692,933,3636,3690">total</WORD>
<WORD coords="1007,3693,1084,3637,3692">de</WORD>
<WORD coords="1135,3693,1221,3639,3692">las</WORD>
<WORD coords="1275,3693,1523,3638,3691">arrobas</WORD>
<WORD coords="1583,3694,1937,3636,3692">mezcladas</WORD>
<WORD coords="1989,3693,2122,3655,3692">sera</WORD>
<WORD coords="2180,3694,2224,3657,3694">x</WORD>
<WORD coords="2281,3711,2351,3644,3711">X</WORD>
<WORD coords="2439,3700,2475,3640,3700">9</WORD>
</LINE>
<LINE>
<WORD coords="216,3792,255,3751,3792">z</WORD>
<WORD coords="317,3810,386,3741,3810">X</WORD>
<WORD coords="465,3794,505,3743,3796">^</WORD>
<WORD coords="539,3807,555,3760,3807">5</WORD>
<WORD coords="591,3812,736,3757,3794">pero</WORD>
<WORD coords="792,3796,848,3741,3795">el</WORD>
<WORD coords="897,3797,1067,3741,3795">valor</WORD>
<WORD coords="1106,3799,1256,3742,3797">t&lt;&gt;tal</WORD>
<WORD coords="1312,3797,1390,3742,3796">de</WORD>
<WORD coords="1439,3798,1521,3742,3797">las</WORD>
<WORD coords="1570,3798,1818,3743,3797">arrobas</WORD>
<WORD coords="1875,3799,2044,3754,3797">antes</WORD>
<WORD coords="2100,3799,2176,3742,3798">de</WORD>
<WORD coords="2232,3801,2567,3746,3798">mezclarse</WORD>
</LINE>
<LINE>
<WORD coords="215,3896,284,3858,3895">es</WORD>
<WORD coords="344,3919,509,3844,3899">igual</WORD>
<WORD coords="583,3901,639,3846,3901">ai</WORD>
<WORD coords="695,3921,814,3865,3902">que</WORD>
<WORD coords="886,3904,1092,3847,3902">tienen</WORD>
<WORD coords="1139,3922,1402,3848,3904">después</WORD>
<WORD coords="1464,3906,1541,3848,3905">de</WORD>
<WORD coords="1601,3906,1953,3848,3903">mezcladas</WORD>
<WORD coords="1986,3918,2004,3893,3918">,</WORD>
<WORD coords="2033,3923,2142,3867,3904">por</WORD>
<WORD coords="2199,3903,2251,3850,3902">el</WORD>
<WORD coords="2308,3919,2566,3868,3902">supnes-</WORD>
</LINE>
<LINE>
<WORD coords="207,4015,283,3960,4008">4o</WORD>
<WORD coords="351,4007,432,3950,4006">de</WORD>
<WORD coords="485,4031,606,3973,4012">que</WORD>
<WORD coords="661,4008,743,3967,4007">no</WORD>
<WORD coords="790,4010,858,3970,4010">ae</WORD>
<WORD coords="905,4029,1120,3952,4009">quiere</WORD>
<WORD coords="1173,4032,1362,3971,4010">ganar</WORD>
<WORD coords="1417,4009,1479,3953,4009">ni</WORD>
<WORD coords="1524,4034,1749,3954,4014">perder</WORD>
<WORD coords="1781,4028,1803,3980,4028">;</WORD>
<WORD coords="1857,4036,2041,3955,4013">luego</WORD>
<WORD coords="2087,4014,2436,3954,4010">tendremos</WORD>
<WORD coords="2468,4011,2564,3969,4010">ca-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0157.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0158.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0158.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1780,468,2004,374,468">14S</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="726,603,787,550,601">la</WORD>
<WORD coords="832,598,1124,553,594">ecuación</WORD>
<WORD coords="1159,590,1234,532,589">de</WORD>
<WORD coords="1266,589,1505,530,586">valores</WORD>
<WORD coords="1549,587,1592,548,587">x</WORD>
<WORD coords="1645,608,1714,534,608">X</WORD>
<WORD coords="1767,587,1804,534,590">9</WORD>
<WORD coords="1866,594,1909,556,594">-r</WORD>
<WORD coords="1967,590,2005,553,590">z</WORD>
<WORD coords="2062,610,2132,533,610">X</WORD>
<WORD coords="2185,588,2222,532,591">4</WORD>
<WORD coords="2274,583,2381,545,588">=</WORD>
<WORD coords="2435,586,2479,547,590">#</WORD>
<WORD coords="2523,607,2598,529,607">^</WORD>
<WORD coords="2650,615,2687,528,615">K</WORD>
<WORD coords="2730,609,2771,543,601">+</WORD>
<WORD coords="2815,589,2852,549,589">2</WORD>
<WORD coords="2887,611,2972,533,611">X</WORD>
<WORD coords="3018,611,3073,532,601">?•</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="980,706,1084,649,705">En»</WORD>
<WORD coords="1122,703,1254,656,701">esta</WORD>
<WORD coords="1312,700,1599,638,697">ecuación</WORD>
<WORD coords="1658,699,2058,643,697">observamos</WORD>
<WORD coords="2090,712,2105,688,712">,</WORD>
<WORD coords="2158,716,2275,662,697">que</WORD>
<WORD coords="2336,695,2387,645,695">¡a</WORD>
<WORD coords="2444,695,2614,658,694">suma</WORD>
<WORD coords="2674,693,2751,635,692">de</WORD>
<WORD coords="2791,694,2901,638,693">dus</WORD>
<WORD coords="2936,701,3082,658,696">carv</WORD>
</LINE>
<LINE>
<WORD coords="722,820,963,757,815">tidades</WORD>
<WORD coords="1024,810,1087,774,809">es</WORD>
<WORD coords="1142,829,1309,751,805">igual</WORD>
<WORD coords="1365,804,1395,758,804">á</WORD>
<WORD coords="1440,803,1493,748,802">la</WORD>
<WORD coords="1538,804,1711,768,803">suma</WORD>
<WORD coords="1760,804,1834,749,803">de</WORD>
<WORD coords="1882,804,2046,760,802">otras</WORD>
<WORD coords="2099,801,2210,748,800">dos</WORD>
<WORD coords="2247,816,2262,771,816">;</WORD>
<WORD coords="2311,822,2494,747,799">luego</WORD>
<WORD coords="2529,823,2711,747,811">(169)</WORD>
<WORD coords="2780,821,3079,747,802">podemos</WORD>
</LINE>
<LINE>
<WORD coords="723,925,911,866,920">hacer</WORD>
<WORD coords="967,921,1087,882,918">con</WORD>
<WORD coords="1148,915,1295,863,913">ellas</WORD>
<WORD coords="1355,912,1411,860,911">la</WORD>
<WORD coords="1501,928,1868,854,909">proporción</WORD>
<WORD coords="1949,908,2297,851,907">aritmética</WORD>
<WORD coords="2368,928,2716,854,906">siguiente:</WORD>
<WORD coords="2784,908,2827,872,908">x</WORD>
<WORD coords="2875,903,2948,854,903">V</WORD>
<WORD coords="3016,908,3077,856,907">9.</WORD>
</LINE>
<LINE>
<WORD coords="724,1034,768,997,1034">#</WORD>
<WORD coords="813,1051,884,980,1051">X</WORD>
<WORD coords="941,1028,973,976,1028">^</WORD>
<WORD coords="1025,1032,1037,997,1032">:</WORD>
<WORD coords="1088,1029,1126,991,1029">2</WORD>
<WORD coords="1186,1033,1254,973,1031">^</WORD>
<WORD coords="1313,1033,1367,973,1029">7»</WORD>
<WORD coords="1429,1026,1466,986,1026">2</WORD>
<WORD coords="1528,1045,1726,966,1029">^4,</WORD>
<WORD coords="1774,1017,1811,961,1018">ó</WORD>
<WORD coords="1875,1034,1981,978,1014">por</WORD>
<WORD coords="2038,1016,2133,977,1014">ser</WORD>
<WORD coords="2188,1013,2243,958,1012">la</WORD>
<WORD coords="2304,1032,2667,956,1010">proporción</WORD>
<WORD coords="2738,1016,3082,961,1013">aritmética</WORD>
</LINE>
<LINE>
<WORD coords="721,1138,779,1082,1138">la</WORD>
<WORD coords="822,1147,1115,1075,1133">igualdad</WORD>
<WORD coords="1165,1131,1241,1076,1130">de</WORD>
<WORD coords="1295,1129,1745,1073,1126">sustracciones</WORD>
<WORD coords="1800,1122,2119,1064,1120">indicadas</WORD>
<WORD coords="2148,1136,2168,1104,1130">,</WORD>
<WORD coords="2220,1119,2354,1081,1118">sera</WORD>
<WORD coords="2398,1119,2443,1081,1119">x</WORD>
<WORD coords="2501,1136,2568,1067,1136">X</WORD>
<WORD coords="2617,1117,2655,1065,1120">9</WORD>
<WORD coords="2688,1108,2768,1095,1116">—</WORD>
<WORD coords="2819,1121,2864,1082,1121">x</WORD>
<WORD coords="2918,1142,2987,1073,1142">X</WORD>
<WORD coords="3042,1124,3083,1066,1124">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="720,1239,824,1203,1242">=</WORD>
<WORD coords="868,1244,906,1206,1244">z</WORD>
<WORD coords="963,1257,1029,1189,1257">X</WORD>
<WORD coords="1069,1256,1132,1189,1250">7</WORD>
<WORD coords="1192,1226,1271,1216,1235">—</WORD>
<WORD coords="1321,1237,1357,1199,1241">2</WORD>
<WORD coords="1420,1247,1488,1187,1247">X</WORD>
<WORD coords="1548,1231,1583,1183,1240">4</WORD>
<WORD coords="1613,1249,1627,1202,0">;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="969,1350,1030,1294,1349">Si</WORD>
<WORD coords="1075,1367,1184,1311,1346">por</WORD>
<WORD coords="1215,1347,1268,1295,1344">el</WORD>
<WORD coords="1316,1345,1470,1290,1342">lema</WORD>
<WORD coords="1501,1361,1686,1284,1347">(187)</WORD>
<WORD coords="1734,1339,2009,1300,1337">sacamos</WORD>
<WORD coords="2061,1337,2236,1278,1334">fuera</WORD>
<WORD coords="2289,1332,2390,1276,1331">del</WORD>
<WORD coords="2436,1351,2771,1273,1329">paréntesis</WORD>
<WORD coords="2840,1329,2895,1274,1328">el</WORD>
<WORD coords="2944,1330,3074,1274,1330">fac-</WORD>
</LINE>
<LINE>
<WORD coords="717,1471,815,1426,1463">tor</WORD>
<WORD coords="850,1460,1069,1420,1458">común</WORD>
<WORD coords="1115,1457,1158,1420,1457">x</WORD>
<WORD coords="1214,1453,1286,1417,1452">en</WORD>
<WORD coords="1333,1451,1386,1397,1450">el</WORD>
<WORD coords="1442,1468,1476,1413,1458">p</WORD>
<WORD coords="1516,1448,1668,1394,1446">irner</WORD>
<WORD coords="1714,1446,2012,1389,1443">miembro</WORD>
<WORD coords="2067,1451,2102,1406,1447">y</WORD>
<WORD coords="2153,1440,2204,1385,1439">el</WORD>
<WORD coords="2264,1441,2302,1403,1441">z</WORD>
<WORD coords="2350,1437,2423,1401,1437">en</WORD>
<WORD coords="2480,1437,2534,1381,1436">el</WORD>
<WORD coords="2567,1456,2845,1379,1435">segundo</WORD>
<WORD coords="2869,1446,2885,1424,1443">,</WORD>
<WORD coords="2939,1436,3073,1391,1435">ten*</WORD>
</LINE>
<LINE>
<WORD coords="718,1575,967,1519,1571">dremos</WORD>
<WORD coords="1000,1552,1020,1516,1552">r</WORD>
<WORD coords="1031,1567,1067,1516,1567">9</WORD>
<WORD coords="1118,1554,1196,1543,1565">—</WORD>
<WORD coords="1257,1582,1320,1504,1575">7]</WORD>
<WORD coords="1365,1580,1434,1509,1580">X</WORD>
<WORD coords="1482,1557,1525,1520,1564">*</WORD>
<WORD coords="1574,1565,1679,1553,1568">—</WORD>
<WORD coords="1720,1580,1802,1502,1580">U</WORD>
<WORD coords="1831,1543,1909,1531,1557">—</WORD>
<WORD coords="1935,1551,1976,1501,1551">4</WORD>
<WORD coords="1980,1571,2003,1493,1571">3</WORD>
<WORD coords="2075,1570,2147,1497,1570">X</WORD>
<WORD coords="2215,1547,2254,1510,1547">z</WORD>
<WORD coords="2264,1544,2276,1533,1557">&apos;</WORD>
<WORD coords="2348,1545,2412,1488,1544">Si</WORD>
<WORD coords="2460,1544,2588,1499,1542">esta</WORD>
<WORD coords="2632,1563,2697,1488,1552">iS</WORD>
<WORD coords="2704,1542,2927,1485,1541">ualdad</WORD>
<WORD coords="2998,1544,3076,1484,1542">de</WORD>
</LINE>
<LINE>
<WORD coords="713,1705,1047,1624,1678">productos</WORD>
<WORD coords="1090,1695,1386,1633,1670">ponemos</WORD>
<WORD coords="1423,1668,1496,1629,1667">en</WORD>
<WORD coords="1543,1679,1908,1605,1661">proporción</WORD>
<WORD coords="1941,1672,1958,1646,1667">,</WORD>
<WORD coords="1998,1656,2106,1620,1654">nos</WORD>
<WORD coords="2154,1653,2405,1597,1651">vendrá:</WORD>
</LINE>
<LINE>
<WORD coords="1382,1776,1425,1739,1776">x</WORD>
<WORD coords="1471,1776,1487,1741,1775">:</WORD>
<WORD coords="1549,1774,1587,1735,1774">z</WORD>
<WORD coords="1644,1772,1686,1736,1771">::</WORD>
<WORD coords="1730,1793,1797,1716,1776">[7</WORD>
<WORD coords="1828,1756,1905,1744,1761">-</WORD>
<WORD coords="1931,1783,2001,1708,1771">4]</WORD>
<WORD coords="2052,1763,2069,1728,1764">:</WORD>
<WORD coords="2120,1784,2186,1706,1769">[9</WORD>
<WORD coords="2212,1747,2292,1737,1756">—</WORD>
<WORD coords="2323,1778,2405,1702,1778">7J.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="961,1897,1318,1832,1891">Traducida</WORD>
<WORD coords="1370,1885,1427,1828,1884">al</WORD>
<WORD coords="1484,1899,1769,1821,1878">lenguaje</WORD>
<WORD coords="1818,1892,2034,1817,1871">vulgar</WORD>
<WORD coords="2084,1867,2214,1823,1866">esta</WORD>
<WORD coords="2275,1883,2640,1804,1861">proporción</WORD>
<WORD coords="2673,1872,2689,1847,1871">,</WORD>
<WORD coords="2744,1859,2854,1822,1858">nos</WORD>
<WORD coords="2900,1863,3065,1802,1860">dices</WORD>
</LINE>
<LINE>
<WORD coords="715,2031,836,1973,2011">que</WORD>
<WORD coords="893,2005,952,1951,2005">la</WORD>
<WORD coords="1026,2002,1315,1939,1998">cantidad</WORD>
<WORD coords="1379,2011,1501,1953,1990">que</WORD>
<WORD coords="1554,1987,1617,1951,1986">se</WORD>
<WORD coords="1697,1985,1774,1927,1983">ha</WORD>
<WORD coords="1824,1980,1899,1925,1980">de</WORD>
<WORD coords="1971,1979,2170,1935,1975">tomar</WORD>
<WORD coords="2229,1971,2327,1916,1970">del</WORD>
<WORD coords="2406,1988,2631,1930,1966">genero</WORD>
<WORD coords="2702,1964,2776,1910,1963">de</WORD>
<WORD coords="2849,1985,3065,1925,1964">mayor</WORD>
</LINE>
<LINE>
<WORD coords="715,2138,925,2059,2115">precio</WORD>
<WORD coords="963,2115,978,2080,2112">:</WORD>
<WORD coords="1011,2110,1075,2074,2109">es</WORD>
<WORD coords="1132,2109,1162,2052,2106">á</WORD>
<WORD coords="1207,2103,1259,2050,2102">la</WORD>
<WORD coords="1314,2120,1433,2063,2099">que</WORD>
<WORD coords="1492,2095,1555,2058,2094">se</WORD>
<WORD coords="1601,2092,1677,2037,2091">ha</WORD>
<WORD coords="1743,2089,1821,2034,2088">de</WORD>
<WORD coords="1869,2086,2067,2045,2084">tomar</WORD>
<WORD coords="2122,2081,2222,2023,2079">del</WORD>
<WORD coords="2284,2099,2509,2039,2074">genero</WORD>
<WORD coords="2558,2072,2633,2016,2071">de</WORD>
<WORD coords="2688,2090,2894,2014,2068">precio</WORD>
<WORD coords="2932,2071,3059,2034,2070">me-</WORD>
</LINE>
<LINE>
<WORD coords="712,2226,825,2188,2224">nor</WORD>
<WORD coords="967,2218,1145,2179,2216">como</WORD>
<WORD coords="1199,2211,1254,2158,2210">la</WORD>
<WORD coords="1302,2208,1641,2143,2203">diferencia</WORD>
<WORD coords="1700,2196,1869,2152,2194">entre</WORD>
<WORD coords="1915,2192,1970,2137,2191">el</WORD>
<WORD coords="2021,2207,2227,2131,2186">precio</WORD>
<WORD coords="2277,2184,2486,2144,2181">menor</WORD>
<WORD coords="2516,2201,2555,2144,2197">y</WORD>
<WORD coords="2588,2178,2643,2123,2178">el</WORD>
<WORD coords="2696,2197,2899,2122,2178">precio</WORD>
<WORD coords="2931,2180,3062,2098,2180">mt</WORD>
<WORD coords="3093,2162,3115,2104,2162">*</WORD>
</LINE>
<LINE>
<WORD coords="715,2332,820,2276,2331">dio</WORD>
<WORD coords="874,2330,888,2293,2328">;</WORD>
<WORD coords="948,2326,1009,2290,2325">es</WORD>
<WORD coords="1069,2323,1101,2269,2320">á</WORD>
<WORD coords="1154,2318,1209,2264,2317">la</WORD>
<WORD coords="1255,2315,1595,2254,2309">díferencin</WORD>
<WORD coords="1646,2304,1814,2258,2301">ertre</WORD>
<WORD coords="1863,2299,1916,2244,2298">el</WORD>
<WORD coords="1966,2314,2171,2238,2292">precio</WORD>
<WORD coords="2227,2309,2440,2250,2288">mayor</WORD>
<WORD coords="2494,2306,2532,2249,2303">y</WORD>
<WORD coords="2573,2283,2627,2229,2283">el</WORD>
<WORD coords="2675,2304,2881,2227,2284">precio</WORD>
<WORD coords="2931,2285,3058,2248,2284">me-</WORD>
</LINE>
<LINE>
<WORD coords="716,2440,832,2383,2435">dio.</WORD>
<WORD coords="861,2454,875,2406,2454">;</WORD>
<WORD coords="926,2433,962,2378,2433">ó</WORD>
<WORD coords="1012,2447,1127,2392,2428">que</WORD>
<WORD coords="1182,2426,1389,2365,2421">dichas</WORD>
<WORD coords="1448,2415,1795,2353,2409">cantidades</WORD>
<WORD coords="1840,2403,2012,2356,2402">están</WORD>
<WORD coords="2065,2400,2137,2361,2399">en</WORD>
<WORD coords="2196,2397,2390,2358,2396">razón</WORD>
<WORD coords="2441,2393,2684,2337,2391">inversa</WORD>
<WORD coords="2736,2391,2807,2335,2390">de</WORD>
<WORD coords="2861,2391,2917,2335,2390">la</WORD>
<WORD coords="2963,2389,3055,2332,2389">di-</WORD>
</LINE>
<LINE>
<WORD coords="674,2572,989,2430,2547">kfere&apos;mña</WORD>
<WORD coords="1042,2537,1112,2483,2536">de</WORD>
<WORD coords="1171,2532,1274,2495,2531">sus</WORD>
<WORD coords="1319,2553,1553,2484,2528">Rectos</WORD>
<WORD coords="1603,2518,1710,2480,2517">con</WORD>
<WORD coords="1783,2515,1838,2458,2513">el</WORD>
<WORD coords="1887,2532,2088,2453,2508">precio</WORD>
<WORD coords="2150,2504,2357,2447,2502">medio.</WORD>
<WORD coords="2448,2519,2669,2444,2497">Luego</WORD>
<WORD coords="2734,2497,2785,2443,2496">la</WORD>
<WORD coords="2843,2498,3064,2440,2496">ultima</WORD>
</LINE>
<LINE>
<WORD coords="715,2676,1085,2592,2649">proporción</WORD>
<WORD coords="1145,2642,1256,2605,2641">nos</WORD>
<WORD coords="1297,2636,1373,2581,2634">da</WORD>
<WORD coords="1422,2631,1477,2577,2630">la</WORD>
<WORD coords="1530,2647,1859,2569,2623">siguiente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="969,2770,1185,2694,2749">Regla,</WORD>
<WORD coords="1267,2746,1445,2687,2741">.JHara</WORD>
<WORD coords="1495,2734,1669,2678,2731">saber</WORD>
<WORD coords="1714,2727,1799,2676,2726">¡as</WORD>
<WORD coords="1853,2745,2170,2668,2720">porciones</WORD>
<WORD coords="2226,2741,2338,2678,2715">que</WORD>
<WORD coords="2391,2712,2456,2677,2712">se</WORD>
<WORD coords="2502,2711,2622,2655,2709">han</WORD>
<WORD coords="2676,2706,2744,2652,2706">de</WORD>
<WORD coords="2795,2709,3057,2648,2704">mezclar</WORD>
</LINE>
<LINE>
<WORD coords="715,2868,788,2811,2865">de</WORD>
<WORD coords="834,2862,935,2806,2860">dos</WORD>
<WORD coords="982,2878,1242,2814,2851">géneros</WORD>
<WORD coords="1295,2872,1405,2808,2843">que</WORD>
<WORD coords="1455,2842,1652,2785,2838">tienen</WORD>
<WORD coords="1713,2855,2039,2777,2832">diferentes</WORD>
<WORD coords="2084,2847,2318,2769,2822">precios</WORD>
<WORD coords="2359,2834,2374,2807,2834">,</WORD>
<WORD coords="2424,2842,2581,2775,2815">para</WORD>
<WORD coords="2654,2813,2966,2755,2810">venderlos</WORD>
<WORD coords="3024,2809,3064,2770,2809">a</WORD>
</LINE>
<LINE>
<WORD coords="714,2975,797,2935,2973">un</WORD>
<WORD coords="853,2990,1057,2909,2963">precio</WORD>
<WORD coords="1105,2959,1342,2901,2956">medio:</WORD>
<WORD coords="1416,2949,1479,2912,2949">se</WORD>
<WORD coords="1529,2946,1693,2898,2944">resta</WORD>
<WORD coords="1752,2940,1844,2885,2939">del</WORD>
<WORD coords="1895,2957,2095,2878,2933">precio</WORD>
<WORD coords="2168,2949,2379,2891,2927">mayor</WORD>
<WORD coords="2468,2924,2524,2868,2923">el</WORD>
<WORD coords="2588,2942,2796,2863,2915">precio</WORD>
<WORD coords="2854,2924,3070,2858,2913">medio,</WORD>
</LINE>
<LINE>
<WORD coords="731,3098,773,3042,3086">y</WORD>
<WORD coords="839,3074,893,3021,3073">la</WORD>
<WORD coords="946,3091,1279,3007,3066">diferencia</WORD>
<WORD coords="1323,3057,1611,3005,3054">señalara</WORD>
<WORD coords="1666,3050,1753,2996,3048">las</WORD>
<WORD coords="1810,3045,2100,2987,3041">unidades</WORD>
<WORD coords="2143,3061,2255,2999,3035">que</WORD>
<WORD coords="2315,3032,2377,2996,3031">se</WORD>
<WORD coords="2430,3030,2551,2976,3029">han</WORD>
<WORD coords="2608,3026,2677,2969,3024">de</WORD>
<WORD coords="2732,3021,2922,2976,3019">tomar</WORD>
<WORD coords="2984,3017,3077,2956,3015">del</WORD>
</LINE>
<LINE>
<WORD coords="735,3196,959,3140,3178">^nero</WORD>
<WORD coords="1006,3196,1117,3137,3172">que</WORD>
<WORD coords="1171,3169,1327,3114,3166">tiene</WORD>
<WORD coords="1349,3185,1554,3108,3160">precio</WORD>
<WORD coords="1596,3157,1802,3115,3154">menor</WORD>
<WORD coords="1835,3169,1850,3119,3158">;</WORD>
<WORD coords="1885,3148,1976,3100,3146">asi</WORD>
<WORD coords="2020,3146,2225,3103,3143">mismo</WORD>
<WORD coords="2271,3138,2334,3102,3137">se</WORD>
<WORD coords="2392,3134,2555,3088,3133">resta</WORD>
<WORD coords="2598,3131,2653,3075,3129">el</WORD>
<WORD coords="2706,3147,2913,3082,3123">precio</WORD>
<WORD coords="2963,3121,3077,3083,3121">me-</WORD>
</LINE>
<LINE>
<WORD coords="725,3290,848,3166,3287">lar</WORD>
<WORD coords="908,3282,1004,3225,3280">del</WORD>
<WORD coords="1067,3300,1272,3235,3273">precio</WORD>
<WORD coords="1318,3279,1558,3214,3267">medio,</WORD>
<WORD coords="1616,3282,1654,3225,3270">y</WORD>
<WORD coords="1706,3258,1761,3203,3258">la</WORD>
<WORD coords="1839,3277,2172,3197,3253">diferencia</WORD>
<WORD coords="2235,3246,2568,3190,3241">determina</WORD>
<WORD coords="2637,3237,2726,3180,3234">las</WORD>
<WORD coords="2781,3229,3071,3171,3227">unidades</WORD>
</LINE>
<LINE>
<WORD coords="725,3416,840,3351,3390">que</WORD>
<WORD coords="880,3388,945,3352,3387">se</WORD>
<WORD coords="1000,3384,1180,3328,3382">deben</WORD>
<WORD coords="1239,3379,1430,3333,3375">tomar</WORD>
<WORD coords="1476,3371,1572,3313,3369">del</WORD>
<WORD coords="1614,3387,1843,3323,3363">genero</WORD>
<WORD coords="1901,3359,1970,3305,3358">de</WORD>
<WORD coords="2009,3377,2213,3304,3354">precio</WORD>
<WORD coords="2262,3369,2493,3310,3348">mayor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="971,3493,1082,3419,3492">De&apos;</WORD>
<WORD coords="1112,3507,1253,3431,3488">aquí</WORD>
<WORD coords="1302,3484,1366,3449,3483">es</WORD>
<WORD coords="1401,3494,1418,3469,3494">,</WORD>
<WORD coords="1461,3499,1581,3440,3477">que</WORD>
<WORD coords="1634,3475,1708,3438,3473">en</WORD>
<WORD coords="1768,3471,1822,3419,3470">la</WORD>
<WORD coords="1874,3467,2153,3407,3463">cuestión</WORD>
<WORD coords="2209,3457,2477,3401,3455">anterior</WORD>
<WORD coords="2530,3452,2655,3415,3451">res-</WORD>
<WORD coords="2793,3522,2879,3392,3502">Jgj</WORD>
<WORD coords="2987,3450,3001,3384,3450">1</WORD>
</LINE>
<LINE>
<WORD coords="727,3608,997,3561,3602">taremos</WORD>
<WORD coords="1050,3598,1148,3539,3595">del</WORD>
<WORD coords="1195,3612,1402,3535,3589">precio</WORD>
<WORD coords="1462,3602,1676,3543,3582">mayor</WORD>
<WORD coords="1720,3578,1759,3525,3578">9</WORD>
<WORD coords="1817,3575,1872,3520,3574">el</WORD>
<WORD coords="1933,3571,2138,3510,3567">medio</WORD>
<WORD coords="2193,3566,2226,3514,3572">7</WORD>
<WORD coords="2260,3581,2275,3538,3581">,</WORD>
<WORD coords="2301,3584,2339,3525,3581">y</WORD>
<WORD coords="2395,3561,2450,3506,3561">la</WORD>
<WORD coords="2505,3559,2660,3500,3557">dife-</WORD>
<WORD coords="3041,3578,3078,3528,3578">2</WORD>
</LINE>
<LINE>
<WORD coords="723,3715,931,3654,3709">rtncia</WORD>
<WORD coords="984,3703,1020,3656,3703">2</WORD>
<WORD coords="1072,3719,1439,3643,3694">pondremos</WORD>
<WORD coords="1491,3690,1542,3636,3689">al</WORD>
<WORD coords="1589,3687,1732,3631,3686">lado</WORD>
<WORD coords="1789,3682,1888,3623,3680">del</WORD>
<WORD coords="1937,3696,2143,3618,3672">precio</WORD>
<WORD coords="2197,3670,2408,3629,3668">menor</WORD>
<WORD coords="2452,3664,2489,3616,3673">4</WORD>
<WORD coords="2514,3682,2532,3633,3682">;</WORD>
<WORD coords="2567,3682,2832,3608,3661">después</WORD>
<WORD coords="2881,3660,3077,3616,3658">resta,</WORD>
</LINE>
<LINE>
<WORD coords="733,3820,939,3778,3815">remos</WORD>
<WORD coords="998,3809,1053,3755,3807">el</WORD>
<WORD coords="1101,3823,1308,3747,3801">precio</WORD>
<WORD coords="1351,3800,1563,3758,3797">menor</WORD>
<WORD coords="1620,3794,1661,3742,3792">4</WORD>
<WORD coords="1703,3790,1801,3733,3788">del</WORD>
<WORD coords="1847,3805,2053,3726,3781">precio</WORD>
<WORD coords="2111,3779,2319,3720,3776">medio</WORD>
<WORD coords="2370,3788,2451,3723,3783">7,</WORD>
<WORD coords="2499,3791,2537,3734,3787">y</WORD>
<WORD coords="2613,3770,2684,3733,3769">su</WORD>
<WORD coords="2739,3768,3080,3706,3764">diferencia</WORD>
</LINE>
<LINE>
<WORD coords="729,3927,765,3874,3924">3</WORD>
<WORD coords="797,3922,1215,3864,3913">colocaremos</WORD>
<WORD coords="1248,3907,1302,3851,3906">ai</WORD>
<WORD coords="1335,3904,1476,3848,3903">lado</WORD>
<WORD coords="1522,3901,1622,3844,3899">del</WORD>
<WORD coords="1681,3917,1892,3838,3893">precio</WORD>
<WORD coords="1938,3909,2155,3846,3885">msyor</WORD>
<WORD coords="2196,3883,2255,3829,3884">9.</WORD>
<WORD coords="2346,3881,2818,3818,3875">Concluiremos</WORD>
<WORD coords="2850,3885,2865,3858,3886">,</WORD>
<WORD coords="2899,3889,3075,3830,3866">pues,</WORD>
</LINE>
<LINE>
<WORD coords="746,4052,868,3991,4030">que</WORD>
<WORD coords="920,4027,1023,3968,4024">del</WORD>
<WORD coords="1080,4021,1222,3962,4018">vino</WORD>
<WORD coords="1271,4034,1390,3976,4014">que</WORD>
<WORD coords="1434,4013,1568,3955,4011">vale</WORD>
<WORD coords="1617,4006,1655,3952,4006">9</WORD>
<WORD coords="1720,4026,1908,3962,4004">pesos</WORD>
<WORD coords="1941,4002,2004,3942,4001">la</WORD>
<WORD coords="2049,3997,2264,3934,3994">arroba</WORD>
<WORD coords="2298,4008,2316,3975,4000">,</WORD>
<WORD coords="2370,3989,2435,3950,3989">se</WORD>
<WORD coords="2484,3986,2762,3939,3984">tomaran</WORD>
<WORD coords="2820,3978,2855,3925,3985">3</WORD>
<WORD coords="2909,3976,3006,3934,3975">arr</WORD>
<WORD coords="3012,3997,3048,3935,3997">9</WORD>
<WORD coords="3056,3959,3078,3942,3959">-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0158.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0159.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0159.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1239,596,1454,503,594">149</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="163,692,275,630,691">bas</WORD>
<WORD coords="318,713,358,653,712">y</WORD>
<WORD coords="418,694,517,636,693">del</WORD>
<WORD coords="570,714,690,659,698">que</WORD>
<WORD coords="748,702,881,646,701">vale</WORD>
<WORD coords="937,704,977,650,708">4</WORD>
<WORD coords="1036,724,1254,667,706">pesos,</WORD>
<WORD coords="1318,712,1380,678,711">se</WORD>
<WORD coords="1450,720,1724,664,715">tomarán</WORD>
<WORD coords="1770,721,1805,673,721">2</WORD>
<WORD coords="1867,735,2117,666,727">probas</WORD>
<WORD coords="2148,748,2170,694,740">j</WORD>
<WORD coords="2201,732,2276,668,730">de</WORD>
<WORD coords="2339,727,2531,668,724">modo</WORD>
</LINE>
<LINE>
<WORD coords="171,818,291,762,799">que</WORD>
<WORD coords="354,801,445,743,800">las</WORD>
<WORD coords="507,808,809,749,805">unidades</WORD>
<WORD coords="878,829,995,774,812">que</WORD>
<WORD coords="1043,813,1105,778,812">se</WORD>
<WORD coords="1162,817,1369,770,814">teman</WORD>
<WORD coords="1426,820,1524,765,819">del</WORD>
<WORD coords="1579,824,1723,768,823">vino</WORD>
<WORD coords="1795,845,1914,791,827">que</WORD>
<WORD coords="1967,831,2099,778,829">vale</WORD>
<WORD coords="2168,835,2293,795,834">mas</WORD>
<WORD coords="2353,851,2391,798,844">y</WORD>
<WORD coords="2439,838,2528,778,834">La*</WORD>
</LINE>
<LINE>
<WORD coords="171,923,292,868,906">que</WORD>
<WORD coords="347,907,411,870,906">se</WORD>
<WORD coords="458,910,665,865,909">toman</WORD>
<WORD coords="719,914,818,859,913">del</WORD>
<WORD coords="868,918,1011,863,916">vino</WORD>
<WORD coords="1070,937,1189,885,921">que</WORD>
<WORD coords="1252,923,1381,867,922">vale</WORD>
<WORD coords="1443,929,1654,889,926">menus</WORD>
<WORD coords="1688,945,1705,920,940">,</WORD>
<WORD coords="1765,935,1935,891,933">están</WORD>
<WORD coords="2000,940,2075,904,939">en</WORD>
<WORD coords="2125,938,2174,886,937">la</WORD>
<WORD coords="2224,938,2411,901,936">razón</WORD>
<WORD coords="2451,943,2530,890,940">de</WORD>
</LINE>
<LINE>
<WORD coords="168,1013,207,963,1023">3</WORD>
<WORD coords="268,1016,282,981,1024">:</WORD>
<WORD coords="343,1014,377,967,1023">2</WORD>
<WORD coords="409,1035,426,1000,1034">,</WORD>
<WORD coords="479,1014,517,961,1023">ó</WORD>
<WORD coords="577,1018,649,982,1017">en</WORD>
<WORD coords="697,1020,751,963,1019">la</WORD>
<WORD coords="793,1024,988,982,1022">razón</WORD>
<WORD coords="1051,1045,1170,991,1026">que</WORD>
<WORD coords="1231,1031,1459,975,1029">resulte</WORD>
<WORD coords="1519,1034,1596,980,1034">de</WORD>
<WORD coords="1663,1058,2040,984,1039">multiplicar</WORD>
<WORD coords="2098,1047,2136,995,1047">ó</WORD>
<WORD coords="2200,1064,2385,1004,1044">pa»tir</WORD>
<WORD coords="2434,1046,2526,993,1044">loa</WORD>
</LINE>
<LINE>
<WORD coords="167,1124,281,1065,1121">dus</WORD>
<WORD coords="335,1124,633,1068,1122">términos</WORD>
<WORD coords="682,1145,791,1090,1126">por</WORD>
<WORD coords="844,1132,924,1094,1131">un</WORD>
<WORD coords="988,1134,1211,1079,1132">mismo</WORD>
<WORD coords="1257,1139,1517,1100,1137">numero</WORD>
<WORD coords="1550,1155,1567,1129,1149">,</WORD>
<WORD coords="1614,1144,1791,1105,1142">como</WORD>
<WORD coords="1840,1171,2060,1094,1153">6:4,</WORD>
<WORD coords="2118,1154,2195,1103,1152">24</WORD>
<WORD coords="2228,1152,2243,1117,1152">:</WORD>
<WORD coords="2290,1152,2359,1101,1151">16</WORD>
<WORD coords="2410,1153,2525,1096,1152">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="423,1236,682,1176,1230">Lscclio.</WORD>
<WORD coords="776,1238,1038,1182,1237">Cuando</WORD>
<WORD coords="1092,1264,1251,1184,1241">haya</WORD>
<WORD coords="1309,1246,1438,1208,1245">mas</WORD>
<WORD coords="1489,1248,1564,1190,1247">de</WORD>
<WORD coords="1625,1251,1740,1193,1249">dos</WORD>
<WORD coords="1800,1273,2058,1217,1254">géneros</WORD>
<WORD coords="2118,1259,2192,1205,1258">de</WORD>
<WORD coords="2252,1258,2523,1202,1256">diferen-</WORD>
</LINE>
<LINE>
<WORD coords="163,1336,257,1286,1334">tes</WORD>
<WORD coords="318,1353,562,1282,1336">precios</WORD>
<WORD coords="596,1353,612,1329,1352">,</WORD>
<WORD coords="644,1341,698,1285,1340">el</WORD>
<WORD coords="754,1345,1015,1306,1344">numero</WORD>
<WORD coords="1072,1348,1148,1291,1348">de</WORD>
<WORD coords="1184,1351,1271,1295,1349">los</WORD>
<WORD coords="1333,1357,1671,1295,1354">diferentes</WORD>
<WORD coords="1706,1380,1966,1323,1361">géneros</WORD>
<WORD coords="2024,1384,2224,1311,1366">puede</WORD>
<WORD coords="2281,1366,2376,1329,1365">ser</WORD>
<WORD coords="2412,1386,2522,1323,1366">par</WORD>
</LINE>
<LINE>
<WORD coords="161,1441,345,1403,1440">como</WORD>
<WORD coords="393,1459,614,1392,1450">4,6,</WORD>
<WORD coords="672,1448,705,1398,1450">8</WORD>
<WORD coords="739,1462,754,1438,1457">,</WORD>
<WORD coords="799,1449,835,1414,1450">»</WORD>
<WORD coords="897,1472,1098,1394,1452">impar</WORD>
<WORD coords="1151,1459,1331,1417,1457">como</WORD>
<WORD coords="1393,1481,1728,1410,1468">3,5,7.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="407,1552,469,1498,1551">Si</WORD>
<WORD coords="529,1552,581,1500,1552">el</WORD>
<WORD coords="634,1559,892,1520,1557">numero</WORD>
<WORD coords="952,1562,1027,1507,1561">de</WORD>
<WORD coords="1077,1565,1165,1509,1564">los</WORD>
<WORD coords="1227,1573,1563,1511,1570">diferentes</WORD>
<WORD coords="1611,1597,1870,1540,1578">géneros</WORD>
<WORD coords="1921,1581,1984,1545,1580">es</WORD>
<WORD coords="2040,1594,2284,1526,1581">impar,</WORD>
<WORD coords="2333,1581,2516,1541,1579">nece-</WORD>
</LINE>
<LINE>
<WORD coords="151,1662,525,1602,1659">sariamente</WORD>
<WORD coords="586,1663,662,1606,1663">ha</WORD>
<WORD coords="722,1665,797,1609,1664">de</WORD>
<WORD coords="878,1670,1066,1610,1669">haber</WORD>
<WORD coords="1141,1675,1341,1628,1673">tantos</WORD>
<WORD coords="1416,1696,1654,1625,1680">precios</WORD>
<WORD coords="1742,1707,2024,1648,1686">mayores</WORD>
<WORD coords="2116,1690,2156,1632,1690">ó</WORD>
<WORD coords="2232,1694,2518,1652,1688">menoreg</WORD>
</LINE>
<LINE>
<WORD coords="149,1783,269,1727,1766">que</WORD>
<WORD coords="316,1768,372,1713,1767">el</WORD>
<WORD coords="436,1786,645,1715,1768">precio</WORD>
<WORD coords="706,1791,962,1718,1774">medio,</WORD>
<WORD coords="1013,1781,1193,1741,1780">como</WORD>
<WORD coords="1264,1803,1522,1749,1785">géneros</WORD>
<WORD coords="1594,1810,1714,1734,1788">hay</WORD>
<WORD coords="1786,1795,1996,1758,1794">menos</WORD>
<WORD coords="2055,1800,2214,1760,1796">uno:</WORD>
<WORD coords="2266,1795,2329,1760,1794">es</WORD>
<WORD coords="2402,1795,2512,1739,1794">de-</WORD>
</LINE>
<LINE>
<WORD coords="151,1872,243,1834,1870">cir</WORD>
<WORD coords="273,1888,289,1862,1889">,</WORD>
<WORD coords="347,1890,464,1838,1876">que</WORD>
<WORD coords="520,1876,569,1821,1876">si</WORD>
<WORD coords="620,1879,729,1841,1877">son</WORD>
<WORD coords="777,1881,833,1844,1879">v.</WORD>
<WORD coords="895,1904,954,1848,1892">g.</WORD>
<WORD coords="1019,1885,1049,1835,1887">3</WORD>
<WORD coords="1113,1888,1202,1832,1887">los</WORD>
<WORD coords="1252,1911,1513,1854,1891">géneros</WORD>
<WORD coords="1549,1911,1566,1884,1905">,</WORD>
<WORD coords="1625,1900,1811,1840,1897">hribra</WORD>
<WORD coords="1859,1901,1894,1854,1901">2</WORD>
<WORD coords="1967,1919,2212,1851,1903">precios</WORD>
<WORD coords="2295,1926,2509,1868,1904">mayo-</WORD>
</LINE>
<LINE>
<WORD coords="148,1978,246,1938,1977">res</WORD>
<WORD coords="302,1999,421,1945,1981">que</WORD>
<WORD coords="474,1983,526,1928,1983">el</WORD>
<WORD coords="582,2004,790,1932,1985">precio</WORD>
<WORD coords="851,1990,1059,1934,1989">medio</WORD>
<WORD coords="1110,2013,1151,1956,2004">y</WORD>
<WORD coords="1225,1994,1279,1942,1994">el</WORD>
<WORD coords="1327,1999,1465,1953,1997">otro</WORD>
<WORD coords="1536,2003,1750,1965,2002">menor</WORD>
<WORD coords="1778,2027,1797,1993,2007">,</WORD>
<WORD coords="1857,2007,1893,1952,2007">ó</WORD>
<WORD coords="1940,2009,1976,1961,2009">2</WORD>
<WORD coords="2039,2013,2320,1974,2011">menores</WORD>
<WORD coords="2385,2026,2507,1974,2013">que</WORD>
</LINE>
<LINE>
<WORD coords="145,2086,203,2029,2085">el</WORD>
<WORD coords="266,2105,473,2033,2088">precio</WORD>
<WORD coords="534,2092,742,2037,2091">medio</WORD>
<WORD coords="788,2114,826,2058,2109">y</WORD>
<WORD coords="870,2096,925,2042,2095">el</WORD>
<WORD coords="986,2099,1120,2054,2098">otro</WORD>
<WORD coords="1175,2122,1407,2065,2102">mayor.</WORD>
<WORD coords="1503,2109,1595,2050,2108">En</WORD>
<WORD coords="1644,2112,1772,2068,2111">este</WORD>
<WORD coords="1829,2115,1969,2078,2115">caso</WORD>
<WORD coords="1999,2131,2016,2106,2124">,</WORD>
<WORD coords="2062,2117,2126,2081,2116">se</WORD>
<WORD coords="2171,2120,2366,2078,2117">restan</WORD>
<WORD coords="2404,2121,2507,2061,2121">de!</WORD>
</LINE>
<LINE>
<WORD coords="147,2211,356,2136,2191">precio</WORD>
<WORD coords="434,2198,643,2141,2197">medio</WORD>
<WORD coords="718,2201,903,2146,2200">todos</WORD>
<WORD coords="973,2205,1068,2150,2203">los</WORD>
<WORD coords="1128,2226,1370,2158,2209">precios</WORD>
<WORD coords="1444,2232,1563,2179,2215">que</WORD>
<WORD coords="1618,2217,1728,2181,2216">son</WORD>
<WORD coords="1789,2239,2073,2185,2222">mayores</WORD>
<WORD coords="2119,2224,2158,2168,2224">ó</WORD>
<WORD coords="2221,2228,2506,2189,2225">menores</WORD>
</LINE>
<LINE>
<WORD coords="144,2315,260,2260,2298">que</WORD>
<WORD coords="323,2301,380,2245,2300">él</WORD>
<WORD coords="413,2317,430,2289,2317">,</WORD>
<WORD coords="472,2323,513,2266,2320">y</WORD>
<WORD coords="560,2306,648,2248,2304">las</WORD>
<WORD coords="702,2312,1075,2250,2308">diferencias</WORD>
<WORD coords="1137,2318,1428,2262,2315">sumadas</WORD>
<WORD coords="1474,2322,1538,2285,2321">se</WORD>
<WORD coords="1598,2340,1793,2286,2323">ponen</WORD>
<WORD coords="1846,2328,1903,2270,2327">ai</WORD>
<WORD coords="1954,2331,2094,2275,2330">lado</WORD>
<WORD coords="2145,2331,2245,2275,2330">del</WORD>
<WORD coords="2292,2348,2505,2279,2333">precio</WORD>
</LINE>
<LINE>
<WORD coords="141,2420,263,2365,2403">que</WORD>
<WORD coords="319,2406,385,2369,2405">es</WORD>
<WORD coords="442,2413,497,2353,2410">el</WORD>
<WORD coords="546,2413,761,2373,2411">menor</WORD>
<WORD coords="816,2416,852,2359,2420">ó</WORD>
<WORD coords="916,2440,1130,2381,2419">mayor</WORD>
<WORD coords="1179,2422,1256,2365,2422">de</WORD>
<WORD coords="1305,2433,1532,2368,2425">todos:</WORD>
<WORD coords="1587,2450,1852,2373,2431">después</WORD>
<WORD coords="1894,2438,1957,2400,2436">se</WORD>
<WORD coords="2013,2437,2085,2401,2436">ve</WORD>
<WORD coords="2129,2438,2184,2383,2437">la</WORD>
<WORD coords="2232,2439,2393,2380,2436">difer</WORD>
<WORD coords="2433,2438,2504,2402,2438">n-</WORD>
</LINE>
<LINE>
<WORD coords="140,2509,233,2471,2508">cia</WORD>
<WORD coords="291,2529,411,2476,2513">que</WORD>
<WORD coords="459,2536,580,2457,2515">hay</WORD>
<WORD coords="633,2521,802,2475,2519">entre</WORD>
<WORD coords="860,2523,914,2466,2522">el</WORD>
<WORD coords="975,2543,1184,2471,2526">precio</WORD>
<WORD coords="1236,2531,1446,2476,2529">medio</WORD>
<WORD coords="1499,2554,1539,2497,2553">y</WORD>
<WORD coords="1592,2553,1769,2488,2536">aquel</WORD>
<WORD coords="1826,2558,1944,2505,2541">que</WORD>
<WORD coords="2001,2544,2065,2508,2543">es</WORD>
<WORD coords="2110,2545,2165,2493,2544">el</WORD>
<WORD coords="2214,2567,2425,2510,2546">mayor</WORD>
<WORD coords="2456,2551,2498,2513,2551">o</WORD>
</LINE>
<LINE>
<WORD coords="134,2618,351,2578,2616">menor</WORD>
<WORD coords="403,2622,480,2565,2621">de</WORD>
<WORD coords="539,2624,627,2568,2623">los</WORD>
<WORD coords="656,2629,868,2570,2627">demás</WORD>
<WORD coords="904,2645,920,2618,2645">,</WORD>
<WORD coords="949,2651,986,2594,2644">y</WORD>
<WORD coords="1046,2632,1174,2590,2631">esta</WORD>
<WORD coords="1222,2650,1558,2577,2638">diferencia</WORD>
<WORD coords="1605,2643,1669,2606,2642">se</WORD>
<WORD coords="1709,2662,1863,2608,2644">pone</WORD>
<WORD coords="1896,2647,1951,2595,2646">al</WORD>
<WORD coords="1983,2653,2124,2596,2651">lado</WORD>
<WORD coords="2171,2653,2250,2596,2653">de</WORD>
<WORD coords="2295,2661,2493,2611,2652">estos.</WORD>
</LINE>
<LINE>
<WORD coords="132,2722,228,2663,2721">La</WORD>
<WORD coords="279,2727,470,2687,2725">razón</WORD>
<WORD coords="529,2730,594,2692,2729">es</WORD>
<WORD coords="630,2746,647,2719,2746">,</WORD>
<WORD coords="680,2753,913,2696,2734">porque</WORD>
<WORD coords="969,2738,1102,2694,2737">esto</WORD>
<WORD coords="1158,2741,1221,2705,2740">es</WORD>
<WORD coords="1286,2742,1339,2688,2741">lo</WORD>
<WORD coords="1402,2748,1627,2689,2745">mismo</WORD>
<WORD coords="1674,2768,1791,2714,2751">que</WORD>
<WORD coords="1851,2758,2035,2696,2755">hacer</WORD>
<WORD coords="2082,2759,2131,2705,2758">la</WORD>
<WORD coords="2182,2782,2489,2704,2759">aligación</WORD>
</LINE>
<LINE>
<WORD coords="135,2828,215,2770,2827">de</WORD>
<WORD coords="271,2831,384,2775,2829">dos</WORD>
<WORD coords="431,2834,507,2796,2833">en</WORD>
<WORD coords="548,2838,659,2779,2837">dos</WORD>
<WORD coords="713,2858,951,2786,2840">precios</WORD>
<WORD coords="987,2859,1003,2833,2854">,</WORD>
<WORD coords="1061,2847,1184,2810,2845">uno</WORD>
<WORD coords="1238,2866,1356,2811,2849">que</WORD>
<WORD coords="1418,2852,1482,2815,2851">es</WORD>
<WORD coords="1536,2854,1589,2799,2853">el</WORD>
<WORD coords="1638,2878,1853,2820,2856">mayor</WORD>
<WORD coords="1897,2861,1934,2807,2861">ó</WORD>
<WORD coords="1999,2866,2212,2827,2865">menor</WORD>
<WORD coords="2266,2866,2342,2813,2865">de</WORD>
<WORD coords="2389,2868,2485,2822,2867">to-</WORD>
</LINE>
<LINE>
<WORD coords="136,2935,249,2877,2933">dos</WORD>
<WORD coords="285,2949,300,2925,2953">,</WORD>
<WORD coords="349,2958,390,2902,2958">y</WORD>
<WORD coords="462,2943,597,2898,2941">otro</WORD>
<WORD coords="655,2963,774,2908,2946">que</WORD>
<WORD coords="833,2949,899,2913,2949">es</WORD>
<WORD coords="971,2954,1123,2899,2952">cada</WORD>
<WORD coords="1171,2957,1293,2919,2957">uno</WORD>
<WORD coords="1367,2961,1445,2902,2960">de</WORD>
<WORD coords="1508,2963,1601,2905,2962">los</WORD>
<WORD coords="1662,2985,1779,2928,2966">que</WORD>
<WORD coords="1837,2987,2100,2914,2969">quedan.</WORD>
<WORD coords="2192,2972,2346,2916,2971">Esto</WORD>
<WORD coords="2414,2977,2483,2936,2976">se</WORD>
</LINE>
<LINE>
<WORD coords="129,3045,395,2991,3041">aclarará</WORD>
<WORD coords="447,3048,558,3007,3047">con</WORD>
<WORD coords="610,3051,666,2994,3051">Ja</WORD>
<WORD coords="727,3074,1063,2996,3055">siguiente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="382,3157,695,3096,3154">Cuestión</WORD>
<WORD coords="753,3161,808,3114,3164">2.</WORD>
<WORD coords="835,3140,873,3107,3156">«</WORD>
<WORD coords="991,3170,1091,3109,3167">Un</WORD>
<WORD coords="1133,3189,1372,3111,3173">filatero</WORD>
<WORD coords="1418,3173,1577,3126,3172">tiene</WORD>
<WORD coords="1669,3177,1772,3137,3176">ero</WORD>
<WORD coords="1830,3179,1900,3122,3179">de</WORD>
<WORD coords="1945,3180,2067,3135,3179">tres</WORD>
<WORD coords="2119,3204,2356,3128,3184">grados</WORD>
<WORD coords="2409,3190,2480,3133,3189">de</WORD>
</LINE>
<LINE>
<WORD coords="132,3267,343,3193,3256">finura</WORD>
<WORD coords="375,3264,398,3218,3264">i</WORD>
<WORD coords="445,3261,505,3203,3260">el</WORD>
<WORD coords="562,3266,682,3200,3266">t&gt;</WORD>
<WORD coords="734,3265,797,3229,3265">es</WORD>
<WORD coords="855,3268,925,3213,3268">de</WORD>
<WORD coords="971,3273,1048,3222,3273">24</WORD>
<WORD coords="1092,3297,1350,3221,3276">quilates</WORD>
<WORD coords="1385,3294,1403,3267,3288">,</WORD>
<WORD coords="1448,3282,1506,3223,3281">el</WORD>
<WORD coords="1561,3283,1618,3234,3283">2.</WORD>
<WORD coords="1643,3288,1682,3228,3288">?</WORD>
<WORD coords="1726,3288,1799,3227,3286">de</WORD>
<WORD coords="1849,3291,1926,3235,3290">23</WORD>
<WORD coords="1959,3304,1978,3272,3304">,</WORD>
<WORD coords="2020,3309,2062,3249,3299">y</WORD>
<WORD coords="2122,3290,2177,3236,3289">el</WORD>
<WORD coords="2234,3291,2352,3238,3284">3.*</WORD>
<WORD coords="2403,3295,2479,3237,3294">de</WORD>
</LINE>
<LINE>
<WORD coords="130,3359,201,3310,3365">18</WORD>
<WORD coords="253,3383,534,3307,3363">quilates.</WORD>
<WORD coords="625,3395,860,3314,3372">Quiere</WORD>
<WORD coords="909,3379,1093,3320,3377">hacer</WORD>
<WORD coords="1137,3385,1261,3344,3383">una</WORD>
<WORD coords="1318,3387,1543,3332,3385">mezcla</WORD>
<WORD coords="1600,3388,1671,3332,3387">de</WORD>
<WORD coords="1716,3391,1878,3337,3390">modo</WORD>
<WORD coords="1944,3415,2056,3356,3392">que</WORD>
<WORD coords="2108,3396,2166,3340,3395">el</WORD>
<WORD coords="2216,3400,2322,3359,3399">oro</WORD>
<WORD coords="2371,3404,2478,3361,3400">sea</WORD>
</LINE>
<LINE>
<WORD coords="122,3465,195,3409,3465">de</WORD>
<WORD coords="251,3467,330,3418,3472">20</WORD>
<WORD coords="379,3493,637,3415,3472">quilates</WORD>
<WORD coords="666,3494,688,3446,3494">;</WORD>
<WORD coords="735,3506,918,3413,3486">¿%u¿</WORD>
<WORD coords="953,3504,1164,3438,3484">parces</WORD>
<WORD coords="1214,3507,1453,3435,3489">pondrá</WORD>
<WORD coords="1503,3492,1575,3437,3491">de</WORD>
<WORD coords="1625,3496,1775,3441,3494">cada</WORD>
<WORD coords="1823,3499,2021,3444,3497">clase?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="366,3581,505,3519,3580">Veo</WORD>
<WORD coords="557,3582,611,3527,3581">la</WORD>
<WORD coords="658,3589,998,3529,3586">diferencia</WORD>
<WORD coords="1060,3610,1180,3556,3593">que</WORD>
<WORD coords="1247,3614,1368,3537,3594">hay</WORD>
<WORD coords="1649,3648,1780,3573,3636">fu</WORD>
<WORD coords="1903,3628,2077,3571,3626">ilates</WORD>
<WORD coords="2084,3635,2193,3614,3635">_</WORD>
<WORD coords="2432,3638,2469,3586,3638">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="106,3681,276,3634,3678">entre</WORD>
<WORD coords="323,3684,381,3627,3683">ei</WORD>
<WORD coords="427,3703,636,3631,3686">precio</WORD>
<WORD coords="696,3692,905,3637,3690">medio</WORD>
<WORD coords="939,3696,1018,3647,3695">20</WORD>
<WORD coords="1045,3718,1089,3661,3708">y</WORD>
<WORD coords="1132,3699,1223,3643,3697">los</WORD>
<WORD coords="1256,3701,1368,3645,3700">dos</WORD>
<WORD coords="1538,3706,1667,3626,3700">20&lt;*</WORD>
<WORD coords="1711,3707,1783,3657,3706">23</WORD>
<WORD coords="1840,3709,1854,3676,3713">:</WORD>
<WORD coords="2300,3718,2348,3693,3711">...</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="104,3805,344,3732,3786">precios</WORD>
<WORD coords="396,3810,748,3736,3793">superiores</WORD>
<WORD coords="797,3798,878,3746,3798">24</WORD>
<WORD coords="919,3821,956,3763,3812">y</WORD>
<WORD coords="1007,3803,1085,3753,3802">23</WORD>
<WORD coords="1122,3817,1136,3793,3817">,</WORD>
<WORD coords="1167,3825,1206,3769,3816">y</WORD>
<WORD coords="1253,3805,1352,3769,3805">co-</WORD>
<WORD coords="1638,3807,1686,3730,3807">L</WORD>
<WORD coords="1702,3790,1765,3742,3789">18</WORD>
<WORD coords="2020,3796,2060,3745,3795">4</WORD>
<WORD coords="2108,3810,2153,3746,3803">+</WORD>
<WORD coords="2200,3796,2234,3747,3796">3</WORD>
<WORD coords="2280,3806,2384,3769,3802">=</WORD>
<WORD coords="2432,3798,2467,3745,3798">7</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="101,3892,238,3834,3891">loco</WORD>
<WORD coords="296,3894,350,3838,3894">la</WORD>
<WORD coords="415,3901,593,3862,3899">suma</WORD>
<WORD coords="649,3904,725,3846,3903">de</WORD>
<WORD coords="786,3906,896,3867,3904">sus</WORD>
<WORD coords="946,3913,1318,3851,3909">diferencias</WORD>
<WORD coords="1349,3914,1390,3869,3914">4</WORD>
<WORD coords="1445,3934,1485,3877,3924">y</WORD>
<WORD coords="1542,3914,1573,3865,3914">3</WORD>
<WORD coords="1621,3917,1674,3863,3917">al</WORD>
<WORD coords="1722,3921,1858,3865,3919">lado</WORD>
<WORD coords="1908,3924,2009,3865,3923">del</WORD>
<WORD coords="2075,3940,2282,3869,3924">precio</WORD>
<WORD coords="2336,3926,2460,3891,3925">me.</WORD>
</LINE>
<LINE>
<WORD coords="96,3995,208,3956,3994">n«r</WORD>
<WORD coords="264,4000,335,3951,4005">18</WORD>
<WORD coords="369,4009,387,3969,4012">;</WORD>
<WORD coords="432,4005,597,3947,4003">hallo</WORD>
<WORD coords="644,4026,912,3951,4006">después</WORD>
<WORD coords="958,4011,1012,3957,4010">la</WORD>
<WORD coords="1059,4021,1396,3958,4016">diferencia</WORD>
<WORD coords="1449,4022,1620,3977,4019">entre</WORD>
<WORD coords="1675,4024,1727,3969,4022">el</WORD>
<WORD coords="1793,4026,1863,3977,4026">18</WORD>
<WORD coords="1917,4046,1954,3992,4037">y</WORD>
<WORD coords="2005,4029,2086,3982,4029">20</WORD>
<WORD coords="2118,4039,2132,4019,4039">,</WORD>
<WORD coords="2164,4051,2201,3995,4040">y</WORD>
<WORD coords="2252,4030,2302,3979,4029">la</WORD>
<WORD coords="2334,4032,2460,3993,4030">rea-</WORD>
</LINE>
<LINE>
<WORD coords="92,4100,154,4054,4100">ta</WORD>
<WORD coords="209,4103,244,4055,4113">2</WORD>
<WORD coords="294,4109,506,4051,4106">coloco</WORD>
<WORD coords="558,4113,592,4057,4118">á</WORD>
<WORD coords="651,4122,1087,4066,4117">continuación</WORD>
<WORD coords="1132,4124,1210,4066,4123">de</WORD>
<WORD coords="1256,4123,1347,4070,4122">los</WORD>
<WORD coords="1409,4129,1579,4082,4128">otros</WORD>
<WORD coords="1628,4151,1873,4076,4132">precio*</WORD>
<WORD coords="1904,4153,1922,4121,4145">,</WORD>
<WORD coords="1954,4137,2132,4098,4137">como</WORD>
<WORD coords="2186,4138,2250,4104,4137">se</WORD>
<WORD coords="2300,4139,2368,4102,4138">ve</WORD>
<WORD coords="2394,4139,2428,4100,4139">a</WORD>
</LINE>
<LINE>
<WORD coords="88,4211,151,4148,4210">la</WORD>
<WORD coords="204,4240,488,4174,4214">margen*</WORD>
<WORD coords="1244,4232,1325,4177,4231">¿9</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0159.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0160.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0160.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1772,598,1990,508,598">150</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="954,729,1021,669,729">Sí</WORD>
<WORD coords="1073,728,1129,670,727">el</WORD>
<WORD coords="1178,727,1442,686,725">numero</WORD>
<WORD coords="1506,723,1582,665,723">de</WORD>
<WORD coords="1642,742,1884,663,720">precios</WORD>
<WORD coords="1945,719,2011,684,718">es</WORD>
<WORD coords="2059,736,2165,678,717">par</WORD>
<WORD coords="2196,734,2214,705,734">,</WORD>
<WORD coords="2270,735,2384,678,715">por</WORD>
<WORD coords="2437,732,2703,654,713">ejemplo</WORD>
<WORD coords="2748,715,2788,661,717">4</WORD>
<WORD coords="2816,730,2836,702,730">t</WORD>
<WORD coords="2886,716,3066,675,715">nece.</WORD>
</LINE>
<LINE>
<WORD coords="702,840,1071,790,836">sanamente</WORD>
<WORD coords="1105,835,1159,780,835">la</WORD>
<WORD coords="1216,835,1425,776,834">mitad</WORD>
<WORD coords="1463,830,1539,774,830">de</WORD>
<WORD coords="1584,829,1736,773,827">ellos</WORD>
<WORD coords="1782,826,1858,771,826">ha</WORD>
<WORD coords="1921,825,1996,771,825">de</WORD>
<WORD coords="2031,824,2130,788,823">ser</WORD>
<WORD coords="2180,844,2401,786,822">mayor</WORD>
<WORD coords="2459,841,2579,786,822">que</WORD>
<WORD coords="2613,822,2668,767,821">el</WORD>
<WORD coords="2702,841,3066,766,820">precióme.»</WORD>
</LINE>
<LINE>
<WORD coords="706,960,868,888,945">dio,</WORD>
<WORD coords="891,964,928,908,953">y</WORD>
<WORD coords="987,943,1042,887,942">ia</WORD>
<WORD coords="1103,945,1236,898,941">otra</WORD>
<WORD coords="1282,940,1476,883,939">mitad</WORD>
<WORD coords="1528,940,1759,898,936">menor.</WORD>
<WORD coords="1862,932,1955,877,931">En</WORD>
<WORD coords="2000,931,2127,887,930">este</WORD>
<WORD coords="2189,931,2309,876,926">2.°</WORD>
<WORD coords="2365,929,2505,892,928">caso</WORD>
<WORD coords="2557,930,2620,893,929">se</WORD>
<WORD coords="2676,928,2826,872,927">hace</WORD>
<WORD coords="2884,928,2940,874,927">la</WORD>
<WORD coords="2968,929,3062,887,928">re-</WORD>
</LINE>
<LINE>
<WORD coords="706,1074,806,1001,1048">gla</WORD>
<WORD coords="855,1052,931,996,1051">de</WORD>
<WORD coords="984,1071,1288,992,1048">aligación</WORD>
<WORD coords="1333,1047,1410,989,1046">de</WORD>
<WORD coords="1458,1045,1572,989,1044">dos</WORD>
<WORD coords="1628,1044,1702,1007,1044">en</WORD>
<WORD coords="1749,1042,1862,987,1040">dos</WORD>
<WORD coords="1897,1056,1913,1029,1048">,</WORD>
<WORD coords="1973,1039,2001,988,1040">á</WORD>
<WORD coords="2072,1038,2251,983,1037">saber</WORD>
<WORD coords="2301,1037,2468,993,1035">entre</WORD>
<WORD coords="2525,1037,2604,1001,1036">un</WORD>
<WORD coords="2669,1056,2876,980,1035">precio</WORD>
<WORD coords="2932,1033,3058,997,1032">ma-</WORD>
</LINE>
<LINE>
<WORD coords="702,1180,819,1119,1155">yor</WORD>
<WORD coords="869,1179,911,1120,1167">y</WORD>
<WORD coords="963,1156,1099,1111,1154">otro</WORD>
<WORD coords="1149,1155,1360,1115,1152">menor</WORD>
<WORD coords="1421,1170,1541,1114,1151">que</WORD>
<WORD coords="1608,1150,1665,1092,1149">el</WORD>
<WORD coords="1719,1167,1926,1091,1146">precio</WORD>
<WORD coords="1982,1145,2193,1088,1143">medio</WORD>
<WORD coords="2228,1157,2244,1132,1151">,</WORD>
<WORD coords="2321,1142,2397,1087,1141">eíi</WORD>
<WORD coords="2432,1143,2615,1087,1140">iendo</WORD>
<WORD coords="2668,1141,2760,1087,1141">los</WORD>
<WORD coords="2823,1156,3067,1087,1138">precio*</WORD>
</LINE>
<LINE>
<WORD coords="703,1285,923,1224,1264">mayor</WORD>
<WORD coords="970,1285,1009,1225,1273">y</WORD>
<WORD coords="1062,1261,1275,1223,1259">menor</WORD>
<WORD coords="1315,1275,1330,1247,1275">,</WORD>
<WORD coords="1361,1278,1480,1221,1261">que</WORD>
<WORD coords="1528,1258,1595,1220,1257">se</WORD>
<WORD coords="1641,1274,1922,1199,1253">quieran.</WORD>
<WORD coords="1987,1253,2100,1196,1250">Sea</WORD>
<WORD coords="2152,1266,2259,1211,1248">por</WORD>
<WORD coords="2321,1271,2588,1195,1248">ejemplo</WORD>
<WORD coords="2629,1249,2685,1193,1248">la</WORD>
<WORD coords="2736,1266,3067,1190,1246">siguiente:</WORD>
</LINE>
<LINE>
<WORD coords="958,1371,1263,1312,1369">Cuestión</WORD>
<WORD coords="1322,1369,1375,1316,1365">3,</WORD>
<WORD coords="1405,1347,1442,1312,1346">53</WORD>
<WORD coords="1555,1386,1706,1308,1365">Hay</WORD>
<WORD coords="1762,1362,1975,1317,1360">cuatro</WORD>
<WORD coords="2050,1361,2237,1305,1358">clases</WORD>
<WORD coords="2289,1357,2358,1303,1357">de</WORD>
<WORD coords="2411,1358,2587,1318,1356">cacao</WORD>
<WORD coords="2622,1371,2637,1345,1365">,</WORD>
<WORD coords="2690,1355,2724,1319,1355">a</WORD>
<WORD coords="2770,1353,2943,1296,1351">saber</WORD>
<WORD coords="2997,1353,3069,1296,1352">de</WORD>
</LINE>
<LINE>
<WORD coords="699,1480,784,1426,1478">20</WORD>
<WORD coords="817,1497,1001,1429,1475">pesos</WORD>
<WORD coords="1065,1496,1187,1429,1473">por</WORD>
<WORD coords="1244,1477,1468,1416,1472">arroba</WORD>
<WORD coords="1503,1485,1519,1459,1485">9</WORD>
<WORD coords="1584,1471,1656,1415,1470">de</WORD>
<WORD coords="1706,1470,1777,1417,1469">16</WORD>
<WORD coords="1814,1485,1833,1457,1485">9</WORD>
<WORD coords="1896,1467,1965,1410,1466">de</WORD>
<WORD coords="2024,1467,2090,1418,1467">11</WORD>
<WORD coords="2150,1486,2188,1429,1471">?j</WORD>
<WORD coords="2242,1466,2311,1410,1465">de</WORD>
<WORD coords="2359,1465,2392,1417,1466">5</WORD>
<WORD coords="2429,1485,2608,1412,1462">&apos;petos</WORD>
<WORD coords="2643,1463,2663,1428,1465">:</WORD>
<WORD coords="2736,1461,2800,1424,1460">se</WORD>
<WORD coords="2857,1483,2997,1404,1456">quie</WORD>
<WORD coords="3038,1458,3068,1418,1458">e</WORD>
</LINE>
<LINE>
<WORD coords="701,1584,886,1526,1581">hacer</WORD>
<WORD coords="939,1583,1061,1544,1582">una</WORD>
<WORD coords="1106,1582,1331,1524,1580">mezcla</WORD>
<WORD coords="1374,1581,1444,1522,1580">de</WORD>
<WORD coords="1497,1579,1664,1522,1578">todos</WORD>
<WORD coords="1713,1598,1872,1530,1575">para</WORD>
<WORD coords="1918,1576,2138,1517,1573">vender</WORD>
<WORD coords="2186,1572,2221,1538,1572">a</WORD>
<WORD coords="2264,1574,2337,1522,1573">14</WORD>
<WORD coords="2358,1591,2535,1527,1570">pesos</WORD>
<WORD coords="2569,1578,2650,1517,1570">.la</WORD>
<WORD coords="2685,1568,2927,1510,1566">arroba</WORD>
<WORD coords="2958,1566,3059,1524,1565">sm</WORD>
</LINE>
<LINE>
<WORD coords="693,1714,920,1632,1688">perder</WORD>
<WORD coords="978,1688,1042,1632,1688">ni</WORD>
<WORD coords="1080,1707,1288,1649,1686">ganar</WORD>
<WORD coords="1308,1700,1329,1651,1700">%</WORD>
<WORD coords="1375,1710,1556,1627,1683">¿^¿ie</WORD>
<WORD coords="1592,1703,1911,1627,1682">porciones</WORD>
<WORD coords="1966,1680,2033,1644,1680">se</WORD>
<WORD coords="2077,1680,2356,1633,1679">tomaran</WORD>
<WORD coords="2413,1677,2484,1620,1677">de</WORD>
<WORD coords="2544,1677,2695,1621,1676">cada</WORD>
<WORD coords="2749,1674,2953,1617,1672">clase?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="966,1818,1233,1738,1794">Ejecuto</WORD>
<WORD coords="1285,1795,1339,1744,1794">ia</WORD>
<WORD coords="1399,1812,1732,1734,1791">operación</WORD>
<WORD coords="1778,1801,1792,1776,1795">,</WORD>
<WORD coords="1815,1787,1995,1752,1786">como</WORD>
<WORD coords="2029,1786,2092,1751,1786">se</WORD>
<WORD coords="2129,1787,2203,1749,1786">ve</WORD>
<WORD coords="2483,1812,2542,1733,1812">p</WORD>
<WORD coords="2538,1824,2615,1776,1823">2Q</WORD>
<WORD coords="2656,1768,2661,1759,1782">•</WORD>
<WORD coords="3037,1787,3072,1752,1787">s</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="711,1904,769,1845,1900">al</WORD>
<WORD coords="826,1900,969,1844,1899">lado</WORD>
<WORD coords="1003,1916,1021,1888,1916">,</WORD>
<WORD coords="1063,1920,1099,1864,1910">y</WORD>
<WORD coords="1138,1900,1305,1842,1898">hallo</WORD>
<WORD coords="1351,1898,1439,1841,1897">las</WORD>
<WORD coords="1484,1915,1807,1839,1894">porciones</WORD>
<WORD coords="1842,1909,1958,1857,1893">que</WORD>
<WORD coords="1994,1891,2056,1856,1890">se</WORD>
<WORD coords="2092,1892,2199,1835,1890">de-</WORD>
<WORD coords="2460,1932,2501,1819,1932">J</WORD>
<WORD coords="2544,1907,2617,1855,1906">16</WORD>
<WORD coords="2649,1908,2796,1857,1904">.,.,,3</WORD>
<WORD coords="2836,1886,2850,1808,1886">I</WORD>
<WORD coords="2922,1901,3002,1888,1899">....</WORD>
<WORD coords="3037,1901,3077,1851,1901">9</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="704,2010,829,1951,2008">fcen</WORD>
<WORD coords="887,2008,1164,1950,2006">mezclar</WORD>
<WORD coords="1214,2006,1314,1949,2004">del</WORD>
<WORD coords="1348,2005,1427,1955,2004">20</WORD>
<WORD coords="1465,2024,1503,1967,2014">y</WORD>
<WORD coords="1559,2004,1614,1948,2003">el</WORD>
<WORD coords="1671,2002,1706,1952,2002">5</WORD>
<WORD coords="1737,2016,1753,1989,2016">,</WORD>
<WORD coords="1796,2020,1834,1964,2009">y</WORD>
<WORD coords="1896,1999,1995,1944,1998">del</WORD>
<WORD coords="2049,1998,2120,1945,1997">16</WORD>
<WORD coords="2173,2017,2211,1958,2008">y</WORD>
<WORD coords="2381,1954,2405,1902,1954">1</WORD>
<WORD coords="2487,2055,2511,1945,2027">j</WORD>
<WORD coords="2547,1990,2713,1942,1989">11....</WORD>
<WORD coords="2730,1989,2808,1942,1991">..2</WORD>
<WORD coords="2838,2045,2870,1940,2015">j</WORD>
<WORD coords="3038,1984,3077,1930,1984">6</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="704,2117,766,2061,2115">el</WORD>
<WORD coords="804,2115,868,2065,2114">11</WORD>
<WORD coords="908,2129,924,2080,2120">;</WORD>
<WORD coords="961,2112,995,2059,2112">ó</WORD>
<WORD coords="1031,2112,1129,2057,2111">del</WORD>
<WORD coords="1159,2112,1237,2063,2111">20</WORD>
<WORD coords="1266,2134,1306,2075,2122">y</WORD>
<WORD coords="1338,2111,1390,2055,2110">el</WORD>
<WORD coords="1431,2111,1494,2061,2111">11</WORD>
<WORD coords="1527,2126,1543,2098,2126">,</WORD>
<WORD coords="1585,2130,1625,2073,2120">y</WORD>
<WORD coords="1654,2107,1752,2051,2106">del</WORD>
<WORD coords="1792,2106,1865,2055,2107">16</WORD>
<WORD coords="1919,2124,1956,2068,2117">y</WORD>
<WORD coords="2014,2104,2070,2048,2103">el</WORD>
<WORD coords="2133,2115,2192,2054,2110">5;</WORD>
<WORD coords="2497,2132,2544,2060,2132">^</WORD>
<WORD coords="2589,2072,2621,2027,2072">5</WORD>
<WORD coords="2632,2080,2672,2062,2080">-</WORD>
<WORD coords="2686,2074,2811,2020,2071">,,,,6</WORD>
<WORD coords="2816,2132,2861,2053,2132">J</WORD>
<WORD coords="3040,2067,3077,2017,2067">2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="709,2223,769,2167,2222">el</WORD>
<WORD coords="820,2222,1136,2163,2220">resultado</WORD>
<WORD coords="1188,2235,1302,2184,2219">es,</WORD>
<WORD coords="1360,2236,1477,2182,2217">que</WORD>
<WORD coords="1537,2237,1644,2180,2214">por</WORD>
<WORD coords="1692,2216,1729,2162,2215">9</WORD>
<WORD coords="1783,2214,2031,2157,2212">arrobas</WORD>
<WORD coords="2105,2211,2205,2154,2209">del</WORD>
<WORD coords="2265,2207,2449,2167,2204">cacao</WORD>
<WORD coords="2503,2200,2579,2148,2199">de</WORD>
<WORD coords="2625,2198,2651,2145,2203">á</WORD>
<WORD coords="2707,2197,2788,2147,2200">20</WORD>
<WORD coords="2811,2209,2826,2185,2209">,</WORD>
<WORD coords="2859,2193,2920,2158,2192">se</WORD>
<WORD coords="2961,2193,3083,2132,2191">haa</WORD>
</LINE>
<LINE>
<WORD coords="710,2332,792,2273,2331">de</WORD>
<WORD coords="847,2330,1048,2284,2328">tomar</WORD>
<WORD coords="1104,2328,1137,2279,2328">3</WORD>
<WORD coords="1185,2329,1286,2270,2326">del</WORD>
<WORD coords="1347,2326,1426,2269,2326">de</WORD>
<WORD coords="1474,2324,1505,2269,2323">á</WORD>
<WORD coords="1562,2322,1633,2270,2321">16</WORD>
<WORD coords="1666,2335,1683,2310,2328">,</WORD>
<WORD coords="1737,2322,1772,2274,2322">2</WORD>
<WORD coords="1835,2322,1932,2264,2319">del</WORD>
<WORD coords="1985,2318,2061,2263,2318">de</WORD>
<WORD coords="2119,2316,2147,2261,2316">á</WORD>
<WORD coords="2212,2315,2278,2266,2315">11</WORD>
<WORD coords="2334,2333,2367,2278,2324">y</WORD>
<WORD coords="2417,2310,2452,2259,2313">6</WORD>
<WORD coords="2510,2309,2607,2252,2307">del</WORD>
<WORD coords="2663,2305,2737,2249,2304">de</WORD>
<WORD coords="2790,2301,2814,2268,2301">a</WORD>
<WORD coords="2870,2301,2905,2254,2308">5</WORD>
<WORD coords="2973,2317,3081,2261,2299">pe-</WORD>
</LINE>
<LINE>
<WORD coords="712,2439,814,2400,2434">sos</WORD>
<WORD coords="852,2454,868,2403,2445">;</WORD>
<WORD coords="917,2436,953,2381,2436">ó</WORD>
<WORD coords="1016,2445,1125,2398,2434">por</WORD>
<WORD coords="1187,2434,1339,2377,2433">cada</WORD>
<WORD coords="1394,2430,1426,2380,2429">3</WORD>
<WORD coords="1476,2429,1723,2374,2427">arrobas</WORD>
<WORD coords="1776,2426,1876,2370,2425">del</WORD>
<WORD coords="1922,2426,1996,2370,2425">de</WORD>
<WORD coords="2046,2425,2074,2370,2424">á</WORD>
<WORD coords="2135,2423,2214,2374,2422">20</WORD>
<WORD coords="2266,2440,2442,2384,2418">pesos</WORD>
<WORD coords="2480,2425,2494,2407,2424">,</WORD>
<WORD coords="2539,2417,2601,2382,2416">se</WORD>
<WORD coords="2651,2412,2767,2355,2410">han</WORD>
<WORD coords="2823,2409,2898,2354,2408">de</WORD>
<WORD coords="2974,2427,3080,2369,2406">po-</WORD>
</LINE>
<LINE>
<WORD coords="711,2547,824,2505,2545">ner</WORD>
<WORD coords="875,2544,912,2490,2542">9</WORD>
<WORD coords="966,2541,1063,2485,2540">del</WORD>
<WORD coords="1125,2541,1200,2484,2540">de</WORD>
<WORD coords="1262,2539,1289,2486,2538">á</WORD>
<WORD coords="1347,2538,1421,2485,2537">16</WORD>
<WORD coords="1450,2549,1465,2526,2541">,</WORD>
<WORD coords="1523,2534,1557,2484,2534">6</WORD>
<WORD coords="1617,2534,1713,2479,2533">del</WORD>
<WORD coords="1765,2533,1838,2479,2532">de</WORD>
<WORD coords="1892,2532,1920,2480,2532">á</WORD>
<WORD coords="1985,2532,2048,2485,2531">11</WORD>
<WORD coords="2116,2539,2154,2494,2533">y</WORD>
<WORD coords="2213,2529,2247,2482,2529">2</WORD>
<WORD coords="2297,2525,2393,2470,2525">del</WORD>
<WORD coords="2443,2524,2516,2470,2523">de</WORD>
<WORD coords="2573,2521,2599,2467,2525">á</WORD>
<WORD coords="2659,2520,2714,2473,2519">5.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="972,2651,1232,2593,2647">Escolio.</WORD>
<WORD coords="1328,2646,1380,2593,2646">A</WORD>
<WORD coords="1442,2643,1571,2607,2642">mas</WORD>
<WORD coords="1639,2641,1716,2586,2640">de</WORD>
<WORD coords="1769,2640,1855,2585,2638">las</WORD>
<WORD coords="1916,2637,2271,2579,2633">cantidades</WORD>
<WORD coords="2340,2650,2457,2596,2630">que</WORD>
<WORD coords="2517,2627,2577,2595,2627">se</WORD>
<WORD coords="2633,2627,2861,2572,2623">buscan</WORD>
<WORD coords="2940,2640,3085,2582,2619">para</WORD>
</LINE>
<LINE>
<WORD coords="718,2758,994,2699,2755">mezclar</WORD>
<WORD coords="1028,2768,1043,2743,2761">,</WORD>
<WORD coords="1098,2754,1161,2718,2753">se</WORD>
<WORD coords="1210,2774,1411,2696,2752">puede</WORD>
<WORD coords="1470,2768,1644,2692,2747">pedir</WORD>
<WORD coords="1703,2764,1821,2710,2745">que</WORD>
<WORD coords="1888,2744,1950,2710,2743">se</WORD>
<WORD coords="2003,2742,2201,2685,2740">forme</WORD>
<WORD coords="2265,2738,2381,2701,2736">una</WORD>
<WORD coords="2438,2734,2725,2678,2732">cantidad</WORD>
<WORD coords="2781,2732,3083,2676,2729">determi-</WORD>
</LINE>
<LINE>
<WORD coords="715,2866,878,2807,2862">nada</WORD>
<WORD coords="925,2862,1002,2805,2861">de</WORD>
<WORD coords="1050,2873,1328,2807,2860">mezcla;</WORD>
<WORD coords="1360,2858,1433,2822,2858">en</WORD>
<WORD coords="1482,2856,1608,2815,2855">este</WORD>
<WORD coords="1674,2853,1814,2817,2851">caso</WORD>
<WORD coords="1870,2851,1933,2815,2850">se</WORD>
<WORD coords="1995,2867,2258,2792,2846">procede</WORD>
<WORD coords="2294,2844,2392,2789,2843">del</WORD>
<WORD coords="2454,2844,2641,2785,2841">modo</WORD>
<WORD coords="2699,2857,2816,2804,2838">que</WORD>
<WORD coords="2867,2843,3082,2800,2837">vamos</WORD>
</LINE>
<LINE>
<WORD coords="719,2973,754,2916,2972">á</WORD>
<WORD coords="824,2971,1084,2917,2969">enseñar</WORD>
<WORD coords="1141,2967,1215,2931,2967">en</WORD>
<WORD coords="1284,2966,1336,2913,2965">la</WORD>
<WORD coords="1384,2985,1712,2906,2961">siguiente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="985,3076,1181,3021,3075">Cuest</WORD>
<WORD coords="1225,3074,1262,3038,3074">n</WORD>
<WORD coords="1317,3075,1436,3019,3068">4.*</WORD>
<WORD coords="1550,3088,1699,3012,3068">Boy</WORD>
<WORD coords="1751,3065,1926,3025,3063">cacao</WORD>
<WORD coords="1987,3061,2056,3005,3061">de</WORD>
<WORD coords="2101,3060,2135,3025,3060">a</WORD>
<WORD coords="2195,3059,2266,3010,3059">12</WORD>
<WORD coords="2329,3080,2506,3012,3056">pesos</WORD>
<WORD coords="2564,3051,2783,2994,3048">arroba</WORD>
<WORD coords="2830,3071,2868,3014,3065">y</WORD>
<WORD coords="2919,3049,2988,2993,3048">de</WORD>
<WORD coords="3049,3050,3085,3010,3050">a</WORD>
</LINE>
<LINE>
<WORD coords="731,3204,801,3132,3192">7;</WORD>
<WORD coords="858,3183,921,3147,3183">se</WORD>
<WORD coords="965,3194,1172,3131,3180">quiere</WORD>
<WORD coords="1243,3181,1278,3126,3181">h</WORD>
<WORD coords="1326,3180,1427,3142,3178">cer</WORD>
<WORD coords="1471,3177,1592,3138,3175">una</WORD>
<WORD coords="1643,3174,1864,3118,3172">mezcla</WORD>
<WORD coords="1916,3194,2025,3133,3169">que</WORD>
<WORD coords="2069,3168,2132,3132,3167">se</WORD>
<WORD coords="2192,3187,2521,3120,3164">componga</WORD>
<WORD coords="2566,3158,2633,3107,3157">de</WORD>
<WORD coords="2684,3159,2764,3109,3160">40</WORD>
<WORD coords="2808,3172,3091,3099,3154">arroba&apos;^</WORD>
</LINE>
<LINE>
<WORD coords="722,3320,887,3248,3298">fara</WORD>
<WORD coords="937,3291,1157,3252,3288">vencer</WORD>
<WORD coords="1205,3291,1353,3231,3288">cada</WORD>
<WORD coords="1403,3286,1524,3245,3285">una</WORD>
<WORD coords="1582,3283,1616,3246,3283">a</WORD>
<WORD coords="1663,3280,1699,3228,3280">9</WORD>
<WORD coords="1751,3302,1952,3234,3277">peses.</WORD>
<WORD coords="2042,3301,2221,3217,3274">¿%ue</WORD>
<WORD coords="2266,3296,2370,3229,3272">po,</WORD>
<WORD coords="2389,3273,2590,3233,3270">dones</WORD>
<WORD coords="2633,3265,2698,3228,3264">se</WORD>
<WORD coords="2748,3264,3094,3207,3261">mtzclaran</WORD>
</LINE>
<LINE>
<WORD coords="734,3401,808,3342,3399">de</WORD>
<WORD coords="849,3397,997,3340,3396">cada</WORD>
<WORD coords="1035,3415,1310,3336,3392">genero?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="991,3522,1321,3446,3500">Averiguo</WORD>
<WORD coords="1372,3517,1694,3441,3495">primero,</WORD>
<WORD coords="1749,3514,1939,3453,3491">según</WORD>
<WORD coords="2000,3508,2166,3431,3485">reg^</WORD>
<WORD coords="2236,3494,2502,3427,3482">ronera!,</WORD>
<WORD coords="2741,3528,2864,3454,3528">^</WORD>
<WORD coords="3065,3522,3102,3472,3525">^</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="738,3616,831,3555,3613">las</WORD>
<WORD coords="880,3628,1202,3551,3606">porciones</WORD>
<WORD coords="1265,3623,1381,3571,3605">que</WORD>
<WORD coords="1421,3605,1483,3569,3604">se</WORD>
<WORD coords="1546,3603,1664,3548,3602">han</WORD>
<WORD coords="1727,3601,1800,3545,3600">de</WORD>
<WORD coords="1859,3604,2106,3559,3595">tomar,</WORD>
<WORD coords="2163,3610,2276,3556,3591">que</WORD>
<WORD coords="2353,3604,2490,3532,3587">aqui</WORD>
<WORD coords="2660,3606,2743,3530,3595">9&lt;¡</WORD>
<WORD coords="2830,3631,2860,3581,3631">7</WORD>
<WORD coords="2915,3629,2927,3614,3629">#</WORD>
<WORD coords="2993,3630,3009,3614,3630">#</WORD>
<WORD coords="3065,3625,3098,3576,3625">3</WORD>
</LINE>
<LINE>
<WORD coords="740,3722,857,3679,3718">Son</WORD>
<WORD coords="914,3715,949,3667,3715">2</WORD>
<WORD coords="998,3716,1100,3658,3713">del</WORD>
<WORD coords="1143,3712,1324,3675,3711">cacao</WORD>
<WORD coords="1371,3731,1651,3653,3709">superior</WORD>
<WORD coords="1694,3727,1729,3670,3717">y</WORD>
<WORD coords="1779,3707,1810,3657,3706">3</WORD>
<WORD coords="1849,3705,1946,3649,3703">del</WORD>
<WORD coords="1978,3702,2231,3644,3699">inferior</WORD>
<WORD coords="2262,3705,2279,3665,3704">;</WORD>
<WORD coords="2314,3696,2493,3658,3694">sumo</WORD>
<WORD coords="2734,3686,2779,3611,3686">L</WORD>
<WORD coords="3052,3671,3108,3655,3671">~</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="749,3858,1019,3789,3844">después</WORD>
<WORD coords="1073,3843,1233,3795,3839">estas</WORD>
<WORD coords="1288,3847,1689,3782,3837">cantidades,</WORD>
<WORD coords="1737,3834,1793,3782,3834">lo</WORD>
<WORD coords="1857,3853,1973,3800,3833">que</WORD>
<WORD coords="2037,3829,2130,3795,3829">me</WORD>
<WORD coords="2173,3827,2246,3772,3826">da</WORD>
<WORD coords="2304,3825,2337,3778,3827">5</WORD>
<WORD coords="2379,3835,2393,3814,3835">,</WORD>
<WORD coords="2463,3845,2502,3787,3844">y</WORD>
<WORD coords="2549,3843,2711,3759,3819">hago</WORD>
<WORD coords="2787,3816,2917,3774,3814">esta</WORD>
<WORD coords="2969,3829,3105,3779,3812">pro-</WORD>
</LINE>
<LINE>
<WORD coords="751,3976,1006,3893,3948">porción</WORD>
<WORD coords="1044,3948,1059,3914,3946">:</WORD>
<WORD coords="1107,3945,1169,3888,3943">Si</WORD>
<WORD coords="1224,3943,1293,3908,3942">en</WORD>
<WORD coords="1350,3947,1382,3897,3945">5</WORD>
<WORD coords="1439,3943,1514,3890,3943">de</WORD>
<WORD coords="1564,3943,1803,3886,3941">mezcla</WORD>
<WORD coords="1859,3939,2072,3896,3937">entran</WORD>
<WORD coords="2136,3935,2170,3888,3935">2</WORD>
<WORD coords="2230,3932,2325,3878,3932">de!</WORD>
<WORD coords="2377,3930,2451,3876,3930">de</WORD>
<WORD coords="2516,3926,2541,3893,3926">a</WORD>
<WORD coords="2596,3937,2706,3881,3932">12;</WORD>
<WORD coords="2758,3946,2855,3886,3921">¿en</WORD>
<WORD coords="2903,3922,2982,3872,3926">40</WORD>
<WORD coords="3030,3921,3108,3867,3920">de</WORD>
</LINE>
<LINE>
<WORD coords="748,4066,992,3995,4061">fciezcía</WORD>
<WORD coords="1048,4052,1301,4006,4049">cuantas</WORD>
<WORD coords="1349,4049,1658,3993,4046">entrarár?</WORD>
<WORD coords="1749,4047,1784,3994,4047">ó</WORD>
<WORD coords="1847,4047,1879,4001,4047">5</WORD>
<WORD coords="1920,4048,1934,4015,4046">:</WORD>
<WORD coords="1979,4045,2011,3998,4045">2</WORD>
<WORD coords="2059,4045,2097,4009,4044">::</WORD>
<WORD coords="2159,4042,2238,3992,4041">40</WORD>
<WORD coords="2293,4042,2307,4004,4040">:</WORD>
<WORD coords="2365,4037,2406,4001,4037">*</WORD>
<WORD coords="2465,4022,2566,4009,4030">—</WORD>
<WORD coords="2618,4033,2687,3981,4034">16</WORD>
<WORD coords="2743,4029,3019,3973,4026">arrobas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1007,4164,1163,4104,4163">fcaco</WORD>
<WORD coords="1210,4164,1486,4098,4159">ufobicn</WORD>
<WORD coords="1530,4159,1624,4099,4158">las</WORD>
<WORD coords="1672,4158,1928,4099,4157">aríobas</WORD>
<WORD coords="1974,4175,2093,4117,4154">que</WORD>
<WORD coords="2137,4155,2295,4093,4152">dtbu</WORD>
<WORD coords="2354,4150,2554,4104,4146">turnar</WORD>
<WORD coords="2626,4147,2731,4085,4144">del</WORD>
<WORD coords="2781,4146,2962,4087,4139">c4caó</WORD>
<WORD coords="3017,4135,3110,4078,4134">in*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0160.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0161.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0161.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1308,572,1516,480,571">151</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="236,725,429,661,724">ferior</WORD>
<WORD coords="455,741,470,713,740">,</WORD>
<WORD coords="516,739,628,686,724">por</WORD>
<WORD coords="683,727,811,678,724">esta</WORD>
<WORD coords="858,740,1273,667,722">proporción,</WORD>
<WORD coords="1326,719,1514,671,719">5:3</WORD>
<WORD coords="1581,719,1622,682,719">::</WORD>
<WORD coords="1668,717,1749,670,717">40</WORD>
<WORD coords="1806,718,1822,682,719">:</WORD>
<WORD coords="1876,717,1919,681,717">x</WORD>
<WORD coords="1961,717,2053,682,719">=</WORD>
<WORD coords="2100,717,2179,667,712">&quot;4</WORD>
<WORD coords="2234,727,2514,658,720">arrobas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="492,855,659,778,832">Digo</WORD>
<WORD coords="716,849,910,797,833">pues,</WORD>
<WORD coords="972,849,1089,797,831">que</WORD>
<WORD coords="1148,828,1248,776,827">del</WORD>
<WORD coords="1306,846,1425,792,827">que</WORD>
<WORD coords="1487,831,1619,774,829">vale</WORD>
<WORD coords="1675,827,1744,778,827">12</WORD>
<WORD coords="1809,840,1985,792,826">pesos</WORD>
<WORD coords="2060,827,2121,791,826">se</WORD>
<WORD coords="2178,824,2218,769,824">d</WORD>
<WORD coords="2261,827,2438,771,824">beran</WORD>
<WORD coords="2503,829,2596,785,827">ri-</WORD>
</LINE>
<LINE>
<WORD coords="231,946,369,906,943">mar</WORD>
<WORD coords="427,944,498,892,943">16</WORD>
<WORD coords="561,958,879,888,941">arrobas,</WORD>
<WORD coords="909,965,947,907,953">y</WORD>
<WORD coords="1003,942,1101,884,941">del</WORD>
<WORD coords="1160,957,1280,903,939">que</WORD>
<WORD coords="1340,938,1471,884,936">vale</WORD>
<WORD coords="1524,939,1558,888,939">7</WORD>
<WORD coords="1605,939,1667,903,938">se</WORD>
<WORD coords="1712,939,1991,888,936">tomarán</WORD>
<WORD coords="2051,938,2132,889,938">24</WORD>
<WORD coords="2180,936,2428,881,933">arrobas</WORD>
<WORD coords="2463,951,2479,924,945">,</WORD>
<WORD coords="2516,939,2604,889,936">las</WORD>
</LINE>
<LINE>
<WORD coords="233,1073,355,1017,1053">que</WORD>
<WORD coords="409,1053,700,996,1050">sumadas</WORD>
<WORD coords="755,1062,1095,1016,1050">componen</WORD>
<WORD coords="1145,1051,1231,997,1049">las</WORD>
<WORD coords="1278,1050,1360,1000,1049">40</WORD>
<WORD coords="1411,1069,1691,992,1048">pedidas.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="484,1166,751,1103,1158">Escolio.</WORD>
<WORD coords="850,1159,1112,1104,1157">Cuando</WORD>
<WORD coords="1172,1158,1235,1122,1157">se</WORD>
<WORD coords="1304,1158,1511,1102,1157">señala</WORD>
<WORD coords="1573,1158,1651,1121,1156">un</WORD>
<WORD coords="1697,1157,1954,1120,1156">numero</WORD>
<WORD coords="2008,1185,2112,1100,1160">fijo</WORD>
<WORD coords="2159,1160,2189,1105,1160">á</WORD>
<WORD coords="2236,1162,2355,1126,1161">uno</WORD>
<WORD coords="2406,1159,2421,1129,1159">c</WORD>
<WORD coords="2426,1132,2436,1106,1132">1</WORD>
<WORD coords="2449,1163,2481,1127,1163">c</WORD>
<WORD coords="2511,1167,2604,1103,1162">lof</WORD>
</LINE>
<LINE>
<WORD coords="237,1291,551,1232,1267">géneros,</WORD>
<WORD coords="604,1289,640,1233,1279">y</WORD>
<WORD coords="691,1270,755,1233,1268">se</WORD>
<WORD coords="809,1267,1038,1213,1266">buscan</WORD>
<WORD coords="1116,1266,1203,1212,1265">las</WORD>
<WORD coords="1268,1285,1588,1208,1263">porciones</WORD>
<WORD coords="1646,1279,1763,1229,1264">que</WORD>
<WORD coords="1821,1265,1885,1229,1265">se</WORD>
<WORD coords="1945,1266,1997,1213,1265">le</WORD>
<WORD coords="2075,1266,2268,1212,1265">deben</WORD>
<WORD coords="2340,1268,2608,1215,1267">mezclar</WORD>
</LINE>
<LINE>
<WORD coords="237,1379,315,1323,1378">de</WORD>
<WORD coords="379,1378,546,1334,1376">otros</WORD>
<WORD coords="580,1392,596,1365,1392">,</WORD>
<WORD coords="643,1395,779,1339,1375">para</WORD>
<WORD coords="839,1377,1165,1320,1374">venderlos</WORD>
<WORD coords="1226,1375,1259,1318,1375">á</WORD>
<WORD coords="1334,1376,1414,1338,1375">un</WORD>
<WORD coords="1478,1393,1688,1318,1372">precio</WORD>
<WORD coords="1739,1373,1945,1316,1372">medio</WORD>
<WORD coords="1976,1381,1997,1341,1378">;</WORD>
<WORD coords="2071,1375,2135,1339,1374">se</WORD>
<WORD coords="2190,1378,2496,1325,1375">resolverá</WORD>
<WORD coords="2545,1378,2605,1325,1376">la</WORD>
</LINE>
<LINE>
<WORD coords="233,1488,517,1429,1485">cuestión</WORD>
<WORD coords="577,1484,632,1433,1483">al</WORD>
<WORD coords="680,1486,865,1429,1483">modo</WORD>
<WORD coords="915,1502,1035,1449,1484">que</WORD>
<WORD coords="1083,1482,1132,1428,1481">la</WORD>
<WORD coords="1188,1504,1518,1427,1482">siguiente:</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="487,1594,783,1538,1592">Cuestión</WORD>
<WORD coords="844,1592,878,1544,1592">5</WORD>
<WORD coords="892,1591,893,1588,1592">.</WORD>
<WORD coords="928,1570,964,1540,1582">*</WORD>
<WORD coords="1079,1612,1224,1536,1591">Hay</WORD>
<WORD coords="1283,1594,1352,1541,1593">14</WORD>
<WORD coords="1412,1593,1669,1535,1591">arrobas</WORD>
<WORD coords="1724,1594,1794,1536,1593">de</WORD>
<WORD coords="1838,1597,2016,1556,1595">cacao</WORD>
<WORD coords="2074,1597,2145,1539,1596">de</WORD>
<WORD coords="2206,1598,2242,1561,1598">a</WORD>
<WORD coords="2301,1598,2372,1547,1598">12</WORD>
<WORD coords="2424,1619,2603,1555,1597">pesos</WORD>
</LINE>
<LINE>
<WORD coords="238,1715,487,1644,1701">arroba]</WORD>
<WORD coords="535,1725,829,1654,1698">¿cuantas</WORD>
<WORD coords="890,1700,1145,1643,1698">arrobas</WORD>
<WORD coords="1191,1699,1255,1665,1699">se</WORD>
<WORD coords="1312,1699,1399,1644,1698">las</WORD>
<WORD coords="1448,1703,1750,1647,1700">mezclara</WORD>
<WORD coords="1810,1702,1907,1644,1701">del</WORD>
<WORD coords="1976,1705,2153,1665,1703">cacao</WORD>
<WORD coords="2215,1706,2283,1651,1705">de</WORD>
<WORD coords="2321,1706,2357,1669,1706">a</WORD>
<WORD coords="2410,1707,2441,1656,1707">7</WORD>
<WORD coords="2496,1727,2608,1664,1706">pe»</WORD>
</LINE>
<LINE>
<WORD coords="231,1808,331,1767,1807">sos</WORD>
<WORD coords="380,1808,604,1752,1807">arroba</WORD>
<WORD coords="633,1823,648,1796,1823">,</WORD>
<WORD coords="694,1828,856,1762,1804">para</WORD>
<WORD coords="910,1808,1196,1752,1807">venderla</WORD>
<WORD coords="1255,1807,1292,1772,1807">a</WORD>
<WORD coords="1350,1806,1386,1755,1807">9</WORD>
<WORD coords="1425,1830,1648,1752,1808">pesos?</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="492,1917,675,1859,1915">Hallo</WORD>
<WORD coords="754,1934,1020,1862,1915">primero</WORD>
<WORD coords="1053,1932,1069,1907,1932">,</WORD>
<WORD coords="1125,1934,1232,1882,1916">por</WORD>
<WORD coords="1289,1939,1455,1865,1917">regla</WORD>
<WORD coords="1515,1941,1762,1866,1920">g-neral</WORD>
<WORD coords="1793,1931,1810,1909,1927">,</WORD>
<WORD coords="1862,1923,1949,1865,1921">las</WORD>
<WORD coords="2018,1941,2343,1866,1922">porciones</WORD>
<WORD coords="2389,1924,2424,1875,1924">2</WORD>
<WORD coords="2475,1941,2513,1884,1930">y</WORD>
<WORD coords="2573,1916,2611,1865,1916">3</WORD>
</LINE>
<LINE>
<WORD coords="240,2043,364,1986,2023">que</WORD>
<WORD coords="412,2023,569,1967,2023">debo</WORD>
<WORD coords="626,2026,825,1980,2024">tomar</WORD>
<WORD coords="872,2026,948,1970,2026">de</WORD>
<WORD coords="1009,2026,1161,1973,2025">cada</WORD>
<WORD coords="1204,2028,1362,1971,2027">clase</WORD>
<WORD coords="1398,2043,1414,2017,2043">,</WORD>
<WORD coords="1473,2051,1508,1996,2040">y</WORD>
<WORD coords="1561,2030,1622,1972,2030">h:</WORD>
<WORD coords="1645,2052,1723,1994,2029">go</WORD>
<WORD coords="1779,2032,1907,1987,2031">esta</WORD>
<WORD coords="1970,2055,2143,1975,2031">regla</WORD>
<WORD coords="2200,2033,2276,1978,2033">de</WORD>
<WORD coords="2322,2032,2445,1987,2030">tres</WORD>
<WORD coords="2480,2030,2493,1995,2030">:</WORD>
<WORD coords="2560,2040,2616,1983,2024">s|</WORD>
</LINE>
<LINE>
<WORD coords="245,2131,322,2094,2130">en</WORD>
<WORD coords="373,2132,407,2085,2134">2</WORD>
<WORD coords="465,2133,715,2079,2131">arrobas</WORD>
<WORD coords="782,2134,879,2078,2133">del</WORD>
<WORD coords="930,2137,1001,2091,2135">tíe</WORD>
<WORD coords="1061,2136,1085,2084,2136">á</WORD>
<WORD coords="1144,2135,1211,2087,2135">12</WORD>
<WORD coords="1262,2137,1474,2093,2136">entran</WORD>
<WORD coords="1523,2137,1555,2089,2137">3</WORD>
<WORD coords="1611,2139,1707,2084,2138">de!</WORD>
<WORD coords="1772,2140,1849,2083,2139">de</WORD>
<WORD coords="1899,2141,1927,2088,2141">á</WORD>
<WORD coords="1988,2143,2021,2091,2143">7</WORD>
<WORD coords="2052,2155,2068,2110,2149">;</WORD>
<WORD coords="2102,2144,2176,2107,2143">en</WORD>
<WORD coords="2236,2143,2311,2091,2141">14</WORD>
<WORD coords="2354,2139,2608,2082,2136">arrobas</WORD>
</LINE>
<LINE>
<WORD coords="247,2238,350,2181,2237">del</WORD>
<WORD coords="401,2256,667,2184,2237">primero</WORD>
<WORD coords="703,2262,981,2185,2239">¿cuantás</WORD>
<WORD coords="1028,2243,1303,2192,2241">entrarán</WORD>
<WORD coords="1348,2244,1446,2190,2243">del</WORD>
<WORD coords="1483,2266,1786,2190,2245">segundo?</WORD>
<WORD coords="1824,2247,1861,2193,2247">ó</WORD>
<WORD coords="1911,2248,1946,2200,2248">2</WORD>
<WORD coords="1994,2251,2012,2216,2249">:</WORD>
<WORD coords="2061,2248,2095,2199,2248">3</WORD>
<WORD coords="2146,2252,2183,2214,2251">::</WORD>
<WORD coords="2239,2253,2313,2202,2251">14</WORD>
<WORD coords="2363,2250,2375,2215,2248">:</WORD>
<WORD coords="2410,2247,2454,2211,2247">x</WORD>
<WORD coords="2513,2244,2615,2205,2243">=5</WORD>
</LINE>
<LINE>
<WORD coords="248,2350,321,2299,2349">21</WORD>
<WORD coords="376,2349,625,2291,2346">arrobas</WORD>
<WORD coords="662,2367,680,2332,2361">,</WORD>
<WORD coords="745,2355,863,2313,2348">que</WORD>
<WORD coords="922,2348,983,2313,2348">se</WORD>
<WORD coords="1047,2350,1244,2294,2348">deben</WORD>
<WORD coords="1301,2352,1500,2308,2351">tomar</WORD>
<WORD coords="1544,2353,1638,2298,2352">del</WORD>
<WORD coords="1700,2354,1882,2317,2353">cacao</WORD>
<WORD coords="1937,2356,2014,2298,2356">de</WORD>
<WORD coords="2075,2358,2104,2302,2358">á</WORD>
<WORD coords="2165,2360,2199,2307,2360">7</WORD>
<WORD coords="2264,2376,2465,2325,2359">pesos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="497,2457,586,2401,2456">La</WORD>
<WORD coords="629,2478,795,2405,2456">regla</WORD>
<WORD coords="862,2459,940,2403,2458">de</WORD>
<WORD coords="999,2481,1299,2404,2457">aligación</WORD>
<WORD coords="1360,2460,1425,2425,2459">se</WORD>
<WORD coords="1476,2476,1849,2408,2461">comprueba</WORD>
<WORD coords="1884,2479,1901,2453,2472">,</WORD>
<WORD coords="1947,2466,2175,2409,2465">viendo</WORD>
<WORD coords="2231,2466,2281,2409,2466">si</WORD>
<WORD coords="2328,2465,2381,2411,2465">la</WORD>
<WORD coords="2436,2467,2616,2425,2465">suma</WORD>
</LINE>
<LINE>
<WORD coords="249,2565,327,2509,2565">de</WORD>
<WORD coords="375,2564,463,2510,2563">los</WORD>
<WORD coords="525,2565,761,2511,2563">valores</WORD>
<WORD coords="802,2575,819,2554,2575">,</WORD>
<WORD coords="871,2585,988,2530,2565">que</WORD>
<WORD coords="1054,2568,1256,2527,2564">tienen</WORD>
<WORD coords="1305,2565,1388,2513,2564">las</WORD>
<WORD coords="1437,2569,1798,2513,2566">cantidades</WORD>
<WORD coords="1856,2574,2026,2527,2571">antes</WORD>
<WORD coords="2072,2573,2150,2516,2573">de</WORD>
<WORD coords="2228,2574,2285,2517,2574">la</WORD>
<WORD coords="2346,2577,2583,2521,2575">mezcla</WORD>
<WORD coords="2596,2600,2621,2568,2600">f</WORD>
</LINE>
<LINE>
<WORD coords="250,2674,314,2636,2672">es</WORD>
<WORD coords="371,2694,535,2619,2672">igual</WORD>
<WORD coords="596,2672,650,2619,2671">al</WORD>
<WORD coords="698,2673,865,2619,2671">valor</WORD>
<WORD coords="922,2691,1037,2638,2674">que</WORD>
<WORD coords="1084,2674,1284,2620,2672">tienen</WORD>
<WORD coords="1338,2673,1421,2619,2672">las</WORD>
<WORD coords="1474,2674,1510,2640,2674">n</WORD>
<WORD coords="1538,2673,1556,2618,2673">i</WORD>
<WORD coords="1599,2676,1723,2640,2674">mas</WORD>
<WORD coords="1774,2697,2039,2624,2677">después</WORD>
<WORD coords="2095,2681,2172,2626,2680">de</WORD>
<WORD coords="2227,2682,2365,2627,2680">ella.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="500,2781,557,2728,2781">O</WORD>
<WORD coords="571,2780,714,2738,2779">auto</WORD>
<WORD coords="776,2782,940,2738,2779">otras</WORD>
<WORD coords="996,2784,1250,2728,2781">muchas</WORD>
<WORD coords="1312,2805,1508,2731,2780">reglas</WORD>
<WORD coords="1545,2802,1560,2777,2795">,</WORD>
<WORD coords="1606,2789,1783,2753,2788">corno</WORD>
<WORD coords="1839,2791,1914,2734,2789">de</WORD>
<WORD coords="1954,2811,2134,2730,2793">falsa</WORD>
<WORD coords="2175,2809,2448,2732,2788">posición</WORD>
<WORD coords="2477,2798,2492,2774,2791">,</WORD>
<WORD coords="2542,2785,2615,2728,2785">de</WORD>
</LINE>
<LINE>
<WORD coords="249,2905,534,2831,2889">Barata,</WORD>
<WORD coords="580,2892,651,2835,2891">de</WORD>
<WORD coords="700,2891,925,2834,2889">Averia</WORD>
<WORD coords="1056,2892,1085,2855,2892">c</WORD>
<WORD coords="1108,2908,1121,2881,2908">,</WORD>
<WORD coords="1181,2911,1297,2857,2892">que</WORD>
<WORD coords="1367,2894,1444,2855,2893">no</WORD>
<WORD coords="1506,2896,1615,2861,2895">son</WORD>
<WORD coords="1664,2897,1766,2853,2896">tan</WORD>
<WORD coords="1827,2912,2222,2843,2899">necesarias,</WORD>
<WORD coords="2271,2916,2307,2861,2914">y</WORD>
<WORD coords="2369,2913,2484,2860,2893">que</WORD>
<WORD coords="2518,2892,2614,2849,2889">to-</WORD>
</LINE>
<LINE>
<WORD coords="250,2998,359,2944,2997">das</WORD>
<WORD coords="421,2998,483,2965,2997">se</WORD>
<WORD coords="535,3016,772,2944,2999">pueden</WORD>
<WORD coords="827,3000,1031,2945,2998">solver</WORD>
<WORD coords="1080,2999,1189,2963,2998">con</WORD>
<WORD coords="1237,3000,1288,2947,2998">el</WORD>
<WORD coords="1340,3003,1497,2946,3002">buen</WORD>
<WORD coords="1547,3026,1790,2951,3003">manejo</WORD>
<WORD coords="1852,3007,1929,2950,3006">de</WORD>
<WORD coords="1976,3008,2031,2952,3007">la</WORD>
<WORD coords="2094,3026,2263,2951,3005">regla</WORD>
<WORD coords="2327,3001,2404,2946,3000">de</WORD>
<WORD coords="2459,2997,2615,2955,2995">tres.</WORD>
</LINE>
<LINE>
<WORD coords="255,3131,430,3057,3108">Pong</WORD>
<WORD coords="459,3102,466,3080,3102">t</WORD>
<WORD coords="503,3126,520,3098,3125">,</WORD>
<WORD coords="582,3124,729,3074,3108">pues</WORD>
<WORD coords="767,3122,782,3098,3116">,</WORD>
<WORD coords="830,3110,909,3052,3109">fin</WORD>
<WORD coords="971,3109,997,3058,3109">á</WORD>
<WORD coords="1049,3109,1103,3054,3108">la</WORD>
<WORD coords="1170,3114,1534,3055,3110">Aritmética</WORD>
<WORD coords="1568,3126,1583,3104,3120">,</WORD>
<WORD coords="1635,3115,1997,3056,3112">ofreciendo</WORD>
<WORD coords="2053,3116,2170,3060,3114">mis</WORD>
<WORD coords="2222,3131,2495,3052,3109">trabajos</WORD>
<WORD coords="2552,3105,2584,3069,3105">a</WORD>
<WORD coords="2590,3105,2613,3049,3105">í</WORD>
</LINE>
<LINE>
<WORD coords="252,3214,413,3159,3212">dócil</WORD>
<WORD coords="467,3222,652,3161,3215">lector</WORD>
<WORD coords="682,3235,703,3203,3234">,</WORD>
<WORD coords="753,3234,981,3180,3215">porque</WORD>
<WORD coords="1029,3216,1140,3177,3215">Con</WORD>
<WORD coords="1206,3220,1260,3166,3219">el</WORD>
<WORD coords="1305,3218,1412,3164,3217">ind</WORD>
<WORD coords="1441,3219,1533,3165,3218">&gt;ci¿</WORD>
<WORD coords="1596,3218,1673,3183,3216">no</WORD>
<WORD coords="1735,3237,1950,3164,3219">quiero</WORD>
<WORD coords="1992,3222,2204,3164,3220">hablar</WORD>
<WORD coords="2240,3236,2258,3188,3236">;</WORD>
<WORD coords="2292,3240,2411,3182,3219">voy</WORD>
<WORD coords="2447,3217,2604,3176,3215">tam*</WORD>
</LINE>
<LINE>
<WORD coords="253,3324,395,3265,3322">bien</WORD>
<WORD coords="460,3323,487,3287,3323">a</WORD>
<WORD coords="531,3324,750,3271,3323">añadir</WORD>
<WORD coords="795,3324,871,3289,3324">en</WORD>
<WORD coords="929,3346,1231,3270,3325">obsequio</WORD>
<WORD coords="1280,3329,1379,3274,3328">del</WORD>
<WORD coords="1427,3345,1698,3273,3326">primero</WORD>
<WORD coords="1754,3329,1809,3273,3328">el</WORD>
<WORD coords="1858,3351,2196,3271,3330">siguiente;</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1064,3554,1818,3460,3549">APENDICE.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="606,3696,889,3629,3692">MODO</WORD>
<WORD coords="950,3695,1069,3638,3695">DE</WORD>
<WORD coords="1117,3694,1167,3638,3693">R</WORD>
<WORD coords="1248,3695,1520,3638,3693">PARTÍ</WORD>
<WORD coords="1540,3692,1586,3640,3695">K</WORD>
<WORD coords="1636,3693,1803,3637,3692">LOS</WORD>
<WORD coords="1856,3694,2285,3633,3692">DIFZMOS</WORD>
</LINE>
<LINE>
<WORD coords="716,3834,841,3776,3834">EN</WORD>
<WORD coords="896,3834,1008,3776,3833">EL</WORD>
<WORD coords="1067,3834,1536,3771,3831">GBÍSPADO</WORD>
<WORD coords="1594,3828,1776,3768,3827">DEL</WORD>
<WORD coords="1832,3830,2170,3767,3827">CLZCO.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="516,4008,613,3951,4008">De</WORD>
<WORD coords="671,4010,818,3951,4007">toda</WORD>
<WORD coords="874,4010,928,3954,4009">la</WORD>
<WORD coords="985,4010,1151,3974,4008">masa</WORD>
<WORD coords="1192,4010,1256,3974,4009">se</WORD>
<WORD coords="1311,4009,1447,3971,4007">saca</WORD>
<WORD coords="1505,4007,1540,3952,4007">ó</WORD>
<WORD coords="1592,4007,1756,3961,4006">resta</WORD>
<WORD coords="1809,4006,1862,3950,4005">la</WORD>
<WORD coords="1917,4005,2154,3968,4004">novena</WORD>
<WORD coords="2225,4021,2389,3954,3997">parte</WORD>
<WORD coords="2467,4009,2610,3958,3996">para</WORD>
</LINE>
<LINE>
<WORD coords="263,4118,322,4058,4117">la</WORD>
<WORD coords="383,4139,535,4060,4118">Caja</WORD>
<WORD coords="583,4121,654,4063,4119">de</WORD>
<WORD coords="708,4123,1174,4061,4117">consolidación.</WORD>
<WORD coords="1271,4118,1365,4062,4118">De</WORD>
<WORD coords="1417,4118,1477,4059,4117">lo</WORD>
<WORD coords="1533,4139,1649,4079,4115">que</WORD>
<WORD coords="1709,4136,1911,4058,4116">queda</WORD>
<WORD coords="1966,4115,2029,4079,4114">se</WORD>
<WORD coords="2090,4114,2272,4071,4111">sacan</WORD>
<WORD coords="2320,4108,2441,4055,4108">*0ü</WORD>
<WORD coords="2508,4105,2607,4071,4104">ue-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0161.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0162.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0162.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="640,644,748,604,643">sos</WORD>
<WORD coords="809,657,950,602,642">para</WORD>
<WORD coords="1006,643,1063,586,642">la</WORD>
<WORD coords="1135,647,1292,587,645">Casa</WORD>
<WORD coords="1350,650,1638,593,647">esnusada</WORD>
<WORD coords="1667,651,1687,618,653">:</WORD>
<WORD coords="1748,654,1805,597,652">lo</WORD>
<WORD coords="1866,671,1984,620,656">que</WORD>
<WORD coords="2045,660,2207,611,657">resta</WORD>
<WORD coords="2261,662,2326,624,661">se</WORD>
<WORD coords="2396,666,2613,605,664">divide</WORD>
<WORD coords="2673,688,2787,628,670">por</WORD>
<WORD coords="2832,687,2906,618,682">9,</WORD>
<WORD coords="2951,696,3009,635,686">y.</WORD>
</LINE>
<LINE>
<WORD coords="633,749,701,710,749">se</WORD>
<WORD coords="755,750,897,711,749">saca</WORD>
<WORD coords="962,751,1018,693,750">el</WORD>
<WORD coords="1063,754,1301,715,752">noveno</WORD>
<WORD coords="1353,774,1496,718,754">para</WORD>
<WORD coords="1543,756,1634,701,754">los</WORD>
<WORD coords="1689,761,1969,702,760">Novenos</WORD>
<WORD coords="2028,769,2372,712,766">nacionales</WORD>
<WORD coords="2407,783,2424,738,778">;</WORD>
<WORD coords="2459,774,2534,717,772">de</WORD>
<WORD coords="2582,774,2641,719,772">lo</WORD>
<WORD coords="2689,797,2806,742,779">que</WORD>
<WORD coords="2841,802,2994,747,785">que-</WORD>
</LINE>
<LINE>
<WORD coords="630,853,711,797,853">da</WORD>
<WORD coords="755,857,821,819,856">se</WORD>
<WORD coords="879,860,1162,800,858">deducen</WORD>
<WORD coords="1219,860,1309,807,859">los</WORD>
<WORD coords="1356,862,1573,806,861">Gastos</WORD>
<WORD coords="1602,889,1763,808,871">fijos</WORD>
<WORD coords="1797,883,1815,856,877">,</WORD>
<WORD coords="1873,871,2051,833,869">como</WORD>
<WORD coords="2093,873,2201,835,871">son</WORD>
<WORD coords="2250,878,2466,822,876">sueldo</WORD>
<WORD coords="2526,882,2603,825,881">de</WORD>
<WORD coords="2654,909,2997,831,888">Contador,</WORD>
</LINE>
<LINE>
<WORD coords="631,968,1127,907,965">arrendamiento</WORD>
<WORD coords="1175,969,1250,913,968">de</WORD>
<WORD coords="1301,984,1473,916,968">sala,</WORD>
<WORD coords="1524,980,1639,914,970">&amp;c«</WORD>
<WORD coords="1684,973,1774,918,973">De</WORD>
<WORD coords="1829,976,1888,921,976">lo</WORD>
<WORD coords="1949,998,2068,942,981">que</WORD>
<WORD coords="2118,1001,2321,928,983">queda</WORD>
<WORD coords="2350,996,2368,973,985">,</WORD>
<WORD coords="2394,987,2457,949,987">se</WORD>
<WORD coords="2518,991,2657,954,989">saca</WORD>
<WORD coords="2701,993,2754,944,993">al</WORD>
<WORD coords="2791,994,2822,946,994">3</WORD>
<WORD coords="2872,1015,2984,959,998">por</WORD>
</LINE>
<LINE>
<WORD coords="642,1073,850,1015,1071">ciento</WORD>
<WORD coords="914,1091,1057,1036,1073">para</WORD>
<WORD coords="1113,1075,1167,1020,1074">ei</WORD>
<WORD coords="1225,1099,1468,1021,1077">Colegio</WORD>
<WORD coords="1508,1084,1850,1026,1081">Seminario</WORD>
<WORD coords="1882,1089,1902,1051,1087">;</WORD>
<WORD coords="1935,1086,1985,1033,1085">el</WORD>
<WORD coords="2022,1088,2173,1050,1087">rems</WORD>
<WORD coords="2194,1092,2376,1046,1090">nente</WORD>
<WORD coords="2424,1097,2487,1058,1094">se</WORD>
<WORD coords="2522,1100,2733,1043,1097">divide</WORD>
<WORD coords="2795,1101,2868,1065,1100">en</WORD>
<WORD coords="2904,1104,2980,1050,1103">16</WORD>
</LINE>
<LINE>
<WORD coords="627,1196,834,1135,1177">partes</WORD>
<WORD coords="888,1201,1174,1122,1179">iguales,</WORD>
<WORD coords="1241,1203,1360,1148,1184">que</WORD>
<WORD coords="1406,1187,1471,1148,1185">se</WORD>
<WORD coords="1513,1196,1899,1132,1187">distribuyen</WORD>
<WORD coords="1962,1194,2038,1137,1193">de</WORD>
<WORD coords="2085,1194,2210,1152,1193">este</WORD>
<WORD coords="2275,1202,2510,1143,1197">modo:</WORD>
<WORD coords="2564,1203,2586,1155,1195">1</WORD>
<WORD coords="2642,1186,2677,1152,1186">o</WORD>
<WORD coords="2738,1205,2777,1151,1205">p</WORD>
<WORD coords="2787,1209,2889,1169,1208">ara</WORD>
<WORD coords="2923,1209,2937,1155,1209">i</WORD>
<WORD coords="2946,1213,2981,1173,1213">a</WORD>
</LINE>
<LINE>
<WORD coords="635,1288,868,1228,1286">Cuarta</WORD>
<WORD coords="914,1310,1218,1237,1288">episcopal</WORD>
<WORD coords="1245,1305,1260,1281,1302">,</WORD>
<WORD coords="1311,1293,1351,1243,1296">4</WORD>
<WORD coords="1396,1313,1435,1257,1306">y</WORD>
<WORD coords="1492,1295,1695,1240,1294">media</WORD>
<WORD coords="1757,1315,1957,1253,1297">partes</WORD>
<WORD coords="1992,1311,2009,1267,1306">;</WORD>
<WORD coords="2067,1301,2102,1252,1300">2</WORD>
<WORD coords="2153,1283,2189,1247,1291">°</WORD>
<WORD coords="2247,1313,2387,1267,1303">para</WORD>
<WORD coords="2443,1305,2494,1252,1304">la</WORD>
<WORD coords="2549,1311,2777,1253,1308">Citaría</WORD>
<WORD coords="2822,1335,2988,1268,1313">capu</WORD>
</LINE>
<LINE>
<WORD coords="627,1409,836,1347,1392">linar,</WORD>
<WORD coords="895,1396,933,1348,1401">4</WORD>
<WORD coords="987,1416,1027,1360,1416">y</WORD>
<WORD coords="1080,1416,1327,1343,1397">media;</WORD>
<WORD coords="1393,1399,1510,1346,1396">3.°</WORD>
<WORD coords="1592,1403,1743,1347,1401">Para</WORD>
<WORD coords="1788,1405,1878,1348,1403">los</WORD>
<WORD coords="1925,1410,2131,1361,1407">cuatro</WORD>
<WORD coords="2181,1413,2440,1372,1410">novenos</WORD>
<WORD coords="2498,1442,2988,1357,1422">beneficíales^</WORD>
</LINE>
<LINE>
<WORD coords="642,1522,844,1460,1500">parten</WORD>
<WORD coords="879,1509,900,1470,1501">,•</WORD>
<WORD coords="958,1504,997,1458,1509">4</WORD>
<WORD coords="1138,1523,1278,1469,1506">para</WORD>
<WORD coords="1328,1508,1380,1454,1507">la</WORD>
<WORD coords="1442,1512,1695,1453,1510">Fabrica</WORD>
<WORD coords="1720,1529,1737,1501,1522">,</WORD>
<WORD coords="1791,1516,1909,1477,1515">una</WORD>
<WORD coords="1975,1538,2015,1480,1529">y</WORD>
<WORD coords="2063,1520,2270,1461,1518">media</WORD>
<WORD coords="2343,1539,2508,1479,1521">parte</WORD>
<WORD coords="2540,1536,2554,1490,1531">;</WORD>
<WORD coords="2648,1526,2704,1474,1521">5.</WORD>
<WORD coords="2732,1509,2767,1474,1511">©</WORD>
<WORD coords="2843,1550,2988,1493,1533">para</WORD>
</LINE>
<LINE>
<WORD coords="622,1611,680,1556,1610">el</WORD>
<WORD coords="728,1632,1024,1554,1609">Hospital</WORD>
<WORD coords="1047,1626,1061,1602,1620">,</WORD>
<WORD coords="1089,1615,1204,1578,1613">una</WORD>
<WORD coords="1261,1632,1298,1580,1626">y</WORD>
<WORD coords="1348,1620,1552,1562,1618">media</WORD>
<WORD coords="1609,1640,1794,1577,1620">parte.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="880,1737,1166,1664,1720">Después</WORD>
<WORD coords="1227,1724,1290,1687,1723">se</WORD>
<WORD coords="1339,1727,1565,1689,1724">reúnen</WORD>
<WORD coords="1610,1728,1663,1672,1728">la</WORD>
<WORD coords="1720,1733,1929,1688,1731">cuarta</WORD>
<WORD coords="1977,1753,2280,1680,1735">capitular</WORD>
<WORD coords="2323,1759,2363,1701,1749">y</WORD>
<WORD coords="2408,1739,2497,1684,1738">los</WORD>
<WORD coords="2547,1745,2759,1698,1742">cuatro</WORD>
<WORD coords="2791,1749,2978,1708,1746">nove-</WORD>
</LINE>
<LINE>
<WORD coords="621,1829,732,1790,1828">nos</WORD>
<WORD coords="779,1831,1168,1772,1828">beneficíales</WORD>
<WORD coords="1193,1843,1208,1819,1843">,</WORD>
<WORD coords="1260,1850,1294,1795,1844">y</WORD>
<WORD coords="1335,1832,1411,1777,1832">de</WORD>
<WORD coords="1459,1836,1588,1789,1834">esta</WORD>
<WORD coords="1639,1838,1813,1801,1837">suma</WORD>
<WORD coords="1858,1840,1921,1804,1839">se</WORD>
<WORD coords="1985,1842,2165,1805,1841">sacan</WORD>
<WORD coords="2218,1842,2307,1788,1841">los</WORD>
<WORD coords="2363,1846,2592,1791,1845">Gastos</WORD>
<WORD coords="2645,1873,2832,1793,1861">fijos,</WORD>
<WORD coords="2878,1854,2980,1816,1852">to-</WORD>
</LINE>
<LINE>
<WORD coords="619,1937,723,1900,1936">rco</WORD>
<WORD coords="780,1936,889,1900,1935">son</WORD>
<WORD coords="936,1938,1185,1882,1936">sueldos</WORD>
<WORD coords="1234,1938,1308,1882,1937">de</WORD>
<WORD coords="1371,1943,1696,1883,1940">sirvientes</WORD>
<WORD coords="1760,1945,1836,1890,1945">de</WORD>
<WORD coords="1893,1968,2175,1890,1946">Iglesia,</WORD>
<WORD coords="2241,1968,2480,1894,1950">Misas,</WORD>
<WORD coords="2526,1955,2635,1896,1952">&amp;c.</WORD>
<WORD coords="2726,1977,2977,1899,1957">Loque</WORD>
</LINE>
<LINE>
<WORD coords="618,2065,823,1988,2044">queda</WORD>
<WORD coords="875,2045,939,2008,2044">se</WORD>
<WORD coords="992,2064,1339,1988,2044">distribuye</WORD>
<WORD coords="1395,2048,1565,2002,2045">entre</WORD>
<WORD coords="1619,2049,1707,1994,2048">los</WORD>
<WORD coords="1764,2068,2192,1997,2052">prebendados</WORD>
<WORD coords="2239,2056,2317,1999,2056">de</WORD>
<WORD coords="2378,2058,2502,2015,2056">este</WORD>
<WORD coords="2548,2061,2735,2005,2059">modo</WORD>
<WORD coords="2769,2063,2781,2027,2063">:</WORD>
<WORD coords="2815,2065,2977,2006,2061">diví-</WORD>
</LINE>
<LINE>
<WORD coords="621,2154,770,2097,2153">dase</WORD>
<WORD coords="819,2152,874,2099,2152">la</WORD>
<WORD coords="941,2155,1233,2096,2153">cantidad</WORD>
<WORD coords="1284,2154,1355,2117,2153">en</WORD>
<WORD coords="1414,2156,1534,2104,2156">475</WORD>
<WORD coords="1602,2170,1801,2115,2158">partes</WORD>
<WORD coords="1875,2183,2109,2105,2161">iguales</WORD>
<WORD coords="2140,2177,2155,2152,2177">,</WORD>
<WORD coords="2201,2184,2236,2129,2175">y</WORD>
<WORD coords="2295,2166,2370,2110,2165">de</WORD>
<WORD coords="2446,2168,2609,2122,2166">estas</WORD>
<WORD coords="2666,2169,2843,2124,2168">tocan</WORD>
<WORD coords="2917,2172,2975,2115,2171">al</WORD>
</LINE>
<LINE>
<WORD coords="621,2262,799,2205,2261">Dean</WORD>
<WORD coords="854,2277,1015,2212,2266">150;</WORD>
<WORD coords="1081,2262,1108,2209,2265">á</WORD>
<WORD coords="1156,2263,1242,2208,2262">las</WORD>
<WORD coords="1300,2285,1739,2206,2263">Dignidades,</WORD>
<WORD coords="1797,2271,1961,2219,2268">120:</WORD>
<WORD coords="2016,2269,2045,2217,2269">á</WORD>
<WORD coords="2099,2271,2190,2214,2270">los</WORD>
<WORD coords="2249,2296,2653,2216,2273">Canónigos,</WORD>
<WORD coords="2705,2291,2871,2225,2278">100;</WORD>
<WORD coords="2940,2276,2974,2217,2276">á</WORD>
</LINE>
<LINE>
<WORD coords="612,2369,704,2312,2368">los</WORD>
<WORD coords="756,2371,1132,2313,2369">Racioneros</WORD>
<WORD coords="1165,2376,1181,2353,2375">,</WORD>
<WORD coords="1242,2371,1318,2318,2371">70</WORD>
<WORD coords="1364,2389,1401,2334,2381">y</WORD>
<WORD coords="1462,2370,1490,2319,2372">á</WORD>
<WORD coords="1551,2371,1642,2316,2370">los</WORD>
<WORD coords="1689,2374,1898,2318,2372">medio</WORD>
<WORD coords="1913,2380,2326,2318,2377">-Racioneros</WORD>
<WORD coords="2359,2397,2376,2369,2391">,</WORD>
<WORD coords="2430,2385,2528,2330,2382">35.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="862,2479,1276,2421,2476">Advertencia</WORD>
<WORD coords="1363,2479,1410,2429,2480">1.</WORD>
<WORD coords="1446,2461,1482,2424,2461">a</WORD>
<WORD coords="1589,2480,1651,2424,2479">Si</WORD>
<WORD coords="1705,2501,1826,2423,2479">hay</WORD>
<WORD coords="1897,2484,2060,2427,2481">sillas</WORD>
<WORD coords="2118,2489,2403,2445,2486">vacantes</WORD>
<WORD coords="2433,2505,2449,2477,2497">,</WORD>
<WORD coords="2493,2490,2555,2453,2489">se</WORD>
<WORD coords="2630,2492,2806,2450,2490">sacan</WORD>
<WORD coords="2862,2491,2966,2451,2491">an-</WORD>
</LINE>
<LINE>
<WORD coords="611,2584,705,2537,2583">tes</WORD>
<WORD coords="765,2584,841,2528,2584">de</WORD>
<WORD coords="903,2585,991,2531,2584">las</WORD>
<WORD coords="1046,2587,1249,2529,2586">Misas</WORD>
<WORD coords="1317,2590,1421,2551,2588">sus</WORD>
<WORD coords="1478,2591,1689,2542,2588">cuotas</WORD>
<WORD coords="1751,2612,2168,2536,2591">respectivas,</WORD>
<WORD coords="2214,2613,2357,2558,2596">para</WORD>
<WORD coords="2406,2616,2727,2540,2597">aplicarlas</WORD>
<WORD coords="2788,2598,2818,2543,2598">á</WORD>
<WORD coords="2909,2602,2968,2543,2600">la</WORD>
</LINE>
<LINE>
<WORD coords="619,2716,773,2635,2692">Caja</WORD>
<WORD coords="823,2694,1151,2635,2692">Nacional.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="861,2799,911,2751,2801">2.</WORD>
<WORD coords="947,2786,983,2747,2796">»</WORD>
<WORD coords="1096,2800,1191,2743,2799">De</WORD>
<WORD coords="1250,2801,1309,2746,2801">lo</WORD>
<WORD coords="1365,2821,1483,2765,2802">que</WORD>
<WORD coords="1551,2804,1690,2758,2804">toca</WORD>
<WORD coords="1744,2805,1799,2751,2805">al</WORD>
<WORD coords="1851,2807,2052,2750,2806">Señor</WORD>
<WORD coords="2121,2825,2361,2754,2809">Obispo</WORD>
<WORD coords="2414,2833,2454,2775,2823">y</WORD>
<WORD coords="2527,2814,2968,2753,2811">Prebendado»</WORD>
</LINE>
<LINE>
<WORD coords="608,2916,674,2870,2911">Se</WORD>
<WORD coords="727,2909,967,2850,2907">deduce</WORD>
<WORD coords="1024,2908,1078,2852,2907">la</WORD>
<WORD coords="1133,2909,1324,2853,2908">Cuota</WORD>
<WORD coords="1369,2911,1641,2855,2909">Carolina</WORD>
<WORD coords="1674,2927,1688,2900,2927">,</WORD>
<WORD coords="1745,2930,1861,2878,2913">que</WORD>
<WORD coords="1911,2915,2040,2870,2913">esta</WORD>
<WORD coords="2089,2938,2382,2863,2918">asignada</WORD>
<WORD coords="2415,2921,2490,2884,2921">en</WORD>
<WORD coords="2558,2922,2686,2878,2921">esta</WORD>
<WORD coords="2741,2925,2970,2863,2918">forma;</WORD>
</LINE>
<LINE>
<WORD coords="609,3016,663,2961,3015">al</WORD>
<WORD coords="699,3015,894,2958,3014">Señor</WORD>
<WORD coords="962,3033,1202,2958,3014">Obispo</WORD>
<WORD coords="1240,3028,1255,3001,3023">,</WORD>
<WORD coords="1303,3015,1426,2965,3016">400</WORD>
<WORD coords="1465,3036,1643,2980,3015">pesos</WORD>
<WORD coords="1671,3034,1686,2988,3026">;</WORD>
<WORD coords="1742,3018,1797,2964,3017">al</WORD>
<WORD coords="1865,3021,2036,2965,3020">Dean</WORD>
<WORD coords="2068,3036,2082,3012,3030">,</WORD>
<WORD coords="2133,3025,2208,2974,3024">70</WORD>
<WORD coords="2238,3044,2253,2996,3035">¡</WORD>
<WORD coords="2311,3027,2339,2973,3027">á</WORD>
<WORD coords="2388,3027,2475,2971,3026">las</WORD>
<WORD coords="2551,3047,2970,2969,3024">Dignidades,</WORD>
</LINE>
<LINE>
<WORD coords="607,3120,682,3068,3122">61</WORD>
<WORD coords="741,3140,918,3082,3121">pesos</WORD>
<WORD coords="978,3122,1013,3074,3124">2</WORD>
<WORD coords="1068,3136,1310,3067,3121">reales;</WORD>
<WORD coords="1374,3122,1401,3070,3124">á</WORD>
<WORD coords="1460,3124,1549,3068,3122">los</WORD>
<WORD coords="1601,3149,1997,3070,3126">Canónigos,</WORD>
<WORD coords="2046,3131,2123,3079,3130">37</WORD>
<WORD coords="2174,3150,2351,3097,3133">pesos</WORD>
<WORD coords="2409,3136,2450,3085,3136">4</WORD>
<WORD coords="2497,3149,2741,3080,3133">reales;</WORD>
<WORD coords="2784,3133,2815,3079,3133">á</WORD>
<WORD coords="2876,3137,2971,3079,3134">ios</WORD>
</LINE>
<LINE>
<WORD coords="605,3240,1028,3169,3225">Racioneros,</WORD>
<WORD coords="1081,3228,1161,3179,3230">20</WORD>
<WORD coords="1226,3245,1452,3193,3227">pesos;</WORD>
<WORD coords="1507,3229,1533,3183,3229">k</WORD>
<WORD coords="1580,3232,1668,3177,3231">los</WORD>
<WORD coords="1718,3255,2403,3180,3235">medio-Racioneros,</WORD>
<WORD coords="2448,3243,2522,3193,3242">10</WORD>
<WORD coords="2581,3259,2779,3207,3243">pesos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="853,3333,962,3276,3332">Asi</WORD>
<WORD coords="1022,3335,1109,3296,3334">me</WORD>
<WORD coords="1160,3337,1241,3280,3336">ha</WORD>
<WORD coords="1290,3342,1594,3282,3338">instruido</WORD>
<WORD coords="1652,3343,1709,3286,3342">el</WORD>
<WORD coords="1748,3343,1954,3287,3342">actual</WORD>
<WORD coords="2007,3348,2313,3286,3346">Contador</WORD>
<WORD coords="2373,3349,2444,3293,3349">de</WORD>
<WORD coords="2481,3352,2770,3294,3351">Diezmos</WORD>
<WORD coords="2822,3353,2966,3294,3352">Don</WORD>
</LINE>
<LINE>
<WORD coords="607,3464,770,3381,3449">Jüse</WORD>
<WORD coords="803,3446,1069,3383,3441">Rixdas*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0162.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0163.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0163.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1291,475,1510,379,474">153</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="797,712,2000,610,705">CORRECCIONES.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="206,848,602,784,846">PAGINA.</WORD>
<WORD coords="773,846,1100,786,844">LINEA.</WORD>
<WORD coords="1277,850,1523,790,847">DICE.</WORD>
<WORD coords="1916,860,2245,797,855">LEASE.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="204,978,343,917,977">VII</WORD>
<WORD coords="687,988,839,924,977">.,.12</WORD>
<WORD coords="1255,980,1525,918,975">Cuado...</WORD>
<WORD coords="1747,986,2127,926,983">....Cuando.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="211,1085,290,1035,1085">10</WORD>
<WORD coords="485,1087,495,1066,1086">,</WORD>
<WORD coords="740,1088,867,1031,1085">.26.</WORD>
<WORD coords="1045,1087,1061,1068,1085">,</WORD>
<WORD coords="1190,1106,1574,1026,1082">...Ante-pone</WORD>
<WORD coords="1816,1098,2169,1025,1092">.Antepone</WORD>
<WORD coords="2200,1093,2241,1037,1079">ó*</WORD>
<WORD coords="2286,1113,2581,1051,1093">pospone,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="212,1195,370,1137,1192">129..</WORD>
<WORD coords="769,1193,915,1143,1190">28.,.</WORD>
<WORD coords="948,1192,1002,1174,1189">...</WORD>
<WORD coords="1282,1190,1366,1133,1189">El</WORD>
<WORD coords="1419,1193,1662,1153,1190">numero</WORD>
<WORD coords="1877,1196,1953,1139,1195">El</WORD>
<WORD coords="2006,1199,2240,1158,1198">menor.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="462,1297,555,1242,1296">Fn</WORD>
<WORD coords="604,1296,658,1245,1296">la</WORD>
<WORD coords="717,1318,937,1242,1296">pagina</WORD>
<WORD coords="980,1297,1058,1246,1298">42</WORD>
<WORD coords="1117,1296,1279,1240,1295">linea</WORD>
<WORD coords="1345,1297,1415,1247,1298">18</WORD>
<WORD coords="1446,1314,1464,1286,1307">,</WORD>
<WORD coords="1516,1298,1574,1244,1297">el</WORD>
<WORD coords="1636,1315,1899,1243,1299">período</WORD>
<WORD coords="1936,1321,2056,1265,1303">que</WORD>
<WORD coords="2114,1320,2396,1248,1304">empieza</WORD>
<WORD coords="2460,1310,2571,1259,1306">Pa-</WORD>
</LINE>
<LINE>
<WORD coords="205,1407,280,1364,1406">ro</WORD>
<WORD coords="320,1429,578,1348,1409">formar</WORD>
<WORD coords="627,1405,791,1348,1403">léase</WORD>
<WORD coords="845,1404,923,1348,1403">de</WORD>
<WORD coords="969,1404,1100,1358,1403">esta</WORD>
<WORD coords="1138,1405,1384,1366,1403">manera</WORD>
<WORD coords="1412,1405,1427,1368,1406">:</WORD>
<WORD coords="1474,1405,1625,1349,1404">Para</WORD>
<WORD coords="1680,1408,1915,1348,1407">formar</WORD>
<WORD coords="1967,1409,2056,1351,1409">los</WORD>
<WORD coords="2111,1415,2375,1350,1413">factores</WORD>
<WORD coords="2408,1416,2530,1378,1415">coa</WORD>
<WORD coords="2553,1412,2580,1391,1412">•</WORD>
</LINE>
<LINE>
<WORD coords="206,1535,461,1468,1511">puestos</WORD>
<WORD coords="519,1511,597,1456,1511">de</WORD>
<WORD coords="640,1511,670,1459,1513">á</WORD>
<WORD coords="729,1510,855,1463,1509">tres</WORD>
<WORD coords="928,1533,1175,1454,1510">simples</WORD>
<WORD coords="1211,1525,1227,1500,1525">,</WORD>
<WORD coords="1283,1533,1792,1456,1513">multipliqúense</WORD>
<WORD coords="1849,1517,1939,1460,1516">los</WORD>
<WORD coords="1993,1521,2265,1459,1519">factores</WORD>
<WORD coords="2320,1539,2577,1463,1519">simples</WORD>
</LINE>
<LINE>
<WORD coords="205,1623,282,1563,1620">de</WORD>
<WORD coords="343,1618,468,1575,1617">tres</WORD>
<WORD coords="508,1618,582,1581,1617">en</WORD>
<WORD coords="629,1617,754,1573,1616">tres</WORD>
<WORD coords="789,1633,805,1605,1627">,</WORD>
<WORD coords="875,1616,953,1561,1616">de</WORD>
<WORD coords="1035,1619,1291,1574,1617">cuantos</WORD>
<WORD coords="1340,1620,1560,1565,1619">modos</WORD>
<WORD coords="1614,1622,1681,1585,1621">se</WORD>
<WORD coords="1741,1641,2007,1567,1623">puedan.</WORD>
<WORD coords="2100,1626,2227,1570,1624">Los</WORD>
<WORD coords="2300,1629,2573,1569,1626">factores</WORD>
</LINE>
<LINE>
<WORD coords="201,1743,600,1680,1725">compuestos</WORD>
<WORD coords="650,1726,728,1669,1725">de</WORD>
<WORD coords="774,1726,988,1677,1724">cuatro</WORD>
<WORD coords="1033,1747,1277,1669,1723">simples</WORD>
<WORD coords="1310,1726,1373,1689,1726">se</WORD>
<WORD coords="1423,1731,1665,1669,1727">forman</WORD>
<WORD coords="1695,1746,1715,1715,1746">,</WORD>
<WORD coords="1759,1747,2232,1672,1729">multiplicando</WORD>
<WORD coords="2285,1733,2451,1688,1731">estos</WORD>
<WORD coords="2494,1734,2576,1676,1732">de</WORD>
</LINE>
<LINE>
<WORD coords="199,1833,414,1786,1831">cuatro</WORD>
<WORD coords="459,1833,536,1796,1832">en</WORD>
<WORD coords="592,1836,803,1788,1833">cuatro</WORD>
<WORD coords="840,1851,857,1821,1844">,</WORD>
<WORD coords="919,1836,997,1778,1836">de</WORD>
<WORD coords="1049,1838,1308,1792,1836">cuantos</WORD>
<WORD coords="1359,1839,1579,1780,1838">modos</WORD>
<WORD coords="1638,1840,1704,1801,1839">se</WORD>
<WORD coords="1753,1861,1996,1783,1840">puedan</WORD>
<WORD coords="2024,1856,2042,1826,1856">,</WORD>
<WORD coords="2104,1861,2142,1802,1852">y</WORD>
<WORD coords="2201,1843,2291,1783,1842">asi</WORD>
<WORD coords="2339,1843,2575,1781,1840">sucesi-</WORD>
</LINE>
<LINE>
<WORD coords="191,1940,481,1895,1939">vamente</WORD>
<WORD coords="514,1943,628,1883,1939">&amp;c.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="445,2027,576,1965,2023">Los</WORD>
<WORD coords="623,2024,838,1966,2023">demás</WORD>
<WORD coords="893,2026,1135,1987,2025">errores</WORD>
<WORD coords="1200,2050,1598,1968,2027">tipográficos</WORD>
<WORD coords="1665,2030,1731,1991,2030">se</WORD>
<WORD coords="1789,2033,1869,1972,2032">ha</WORD>
<WORD coords="1916,2033,2131,1972,2030">tenido</WORD>
<WORD coords="2199,2045,2310,1990,2028">por</WORD>
<WORD coords="2368,2051,2569,1970,2028">mejor</WORD>
</LINE>
<LINE>
<WORD coords="194,2153,552,2070,2129">correjirios</WORD>
<WORD coords="606,2133,636,2078,2134">á</WORD>
<WORD coords="697,2133,877,2093,2132">mano</WORD>
<WORD coords="907,2150,924,2120,2150">,</WORD>
<WORD coords="973,2152,1115,2095,2133">para</WORD>
<WORD coords="1158,2136,1364,2077,2133">evitar</WORD>
<WORD coords="1416,2136,1550,2090,2135">este</WORD>
<WORD coords="1599,2161,1839,2080,2137">trabajo</WORD>
<WORD coords="1885,2140,1917,2101,2140">a</WORD>
<WORD coords="1971,2138,2065,2082,2137">los</WORD>
<WORD coords="2122,2142,2449,2079,2138">Lectores.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1216,2245,1556,2181,2241">NOTAS.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="449,2345,760,2284,2344">Proemio.</WORD>
<WORD coords="829,2367,975,2288,2344">Pag.</WORD>
<WORD coords="1038,2349,1159,2288,2348">IV.</WORD>
<WORD coords="1189,2349,1277,2291,2348">El</WORD>
<WORD coords="1316,2371,1531,2295,2349">virrey</WORD>
<WORD coords="1590,2352,1774,2293,2351">Amat</WORD>
<WORD coords="1806,2372,1824,2338,2364">,</WORD>
<WORD coords="1884,2357,2010,2293,2353">&amp;c.</WORD>
<WORD coords="2113,2355,2190,2296,2354">El</WORD>
<WORD coords="2243,2375,2457,2295,2353">origen</WORD>
<WORD coords="2492,2357,2573,2297,2356">de</WORD>
</LINE>
<LINE>
<WORD coords="196,2450,292,2391,2449">los</WORD>
<WORD coords="344,2452,626,2393,2450">estudios</WORD>
<WORD coords="696,2456,1127,2397,2453">matemáticos</WORD>
<WORD coords="1187,2457,1265,2419,2456">en</WORD>
<WORD coords="1347,2461,1538,2400,2458">Lima</WORD>
<WORD coords="1596,2478,1894,2402,2459">proviene</WORD>
<WORD coords="1956,2461,2033,2406,2461">de</WORD>
<WORD coords="2081,2463,2161,2426,2462">un</WORD>
<WORD coords="2243,2483,2568,2405,2460">Religioso</WORD>
</LINE>
<LINE>
<WORD coords="203,2558,613,2497,2556">Mercedario</WORD>
<WORD coords="649,2573,666,2547,2568">,</WORD>
<WORD coords="723,2559,796,2502,2558">R.</WORD>
<WORD coords="873,2562,937,2505,2558">P.</WORD>
<WORD coords="999,2562,1100,2504,2561">M.</WORD>
<WORD coords="1161,2564,1231,2503,2563">F,</WORD>
<WORD coords="1293,2565,1381,2505,2564">N.</WORD>
<WORD coords="1444,2590,1548,2512,2564">(su</WORD>
<WORD coords="1602,2567,1857,2518,2566">nombre</WORD>
<WORD coords="1940,2569,2094,2514,2567">calla</WORD>
<WORD coords="2156,2569,2429,2512,2567">Moreno</WORD>
<WORD coords="2487,2568,2567,2530,2568">en</WORD>
</LINE>
<LINE>
<WORD coords="180,2662,252,2597,2661">&apos;la</WORD>
<WORD coords="323,2664,468,2606,2663">vida</WORD>
<WORD coords="537,2665,614,2607,2664">de</WORD>
<WORD coords="665,2666,920,2608,2665">Lozano</WORD>
<WORD coords="956,2685,981,2610,2683">)</WORD>
<WORD coords="1006,2681,1022,2656,2670">,</WORD>
<WORD coords="1065,2670,1253,2631,2669">varón</WORD>
<WORD coords="1305,2672,1383,2614,2671">de</WORD>
<WORD coords="1444,2673,1672,2614,2672">mucho</WORD>
<WORD coords="1746,2675,2004,2618,2673">nombre</WORD>
<WORD coords="2064,2692,2176,2637,2674">por</WORD>
<WORD coords="2232,2677,2305,2639,2675">su</WORD>
<WORD coords="2362,2678,2564,2619,2675">litera-</WORD>
</LINE>
<LINE>
<WORD coords="194,2772,336,2723,2770">tura</WORD>
<WORD coords="392,2793,656,2715,2770">sagrada</WORD>
<WORD coords="691,2792,730,2735,2791">y</WORD>
<WORD coords="790,2791,1079,2714,2772">profana.</WORD>
<WORD coords="1176,2777,1254,2719,2777">El</WORD>
<WORD coords="1336,2780,1554,2722,2778">Conde</WORD>
<WORD coords="1619,2780,1696,2723,2780">de</WORD>
<WORD coords="1759,2781,1927,2725,2779">Alva</WORD>
<WORD coords="1982,2782,2060,2724,2781">de</WORD>
<WORD coords="2122,2783,2302,2723,2782">Liste</WORD>
<WORD coords="2333,2798,2351,2768,2792">,</WORD>
<WORD coords="2420,2786,2567,2725,2782">Don</WORD>
</LINE>
<LINE>
<WORD coords="196,2878,354,2817,2876">Luis</WORD>
<WORD coords="418,2898,738,2822,2878">Entiquez</WORD>
<WORD coords="803,2881,881,2824,2880">de</WORD>
<WORD coords="945,2883,1239,2824,2882">Guzman</WORD>
<WORD coords="1273,2898,1288,2871,2898">,</WORD>
<WORD coords="1352,2906,1586,2826,2885">Virrey</WORD>
<WORD coords="1641,2889,1719,2828,2887">de</WORD>
<WORD coords="1785,2908,2051,2829,2886">Megico</WORD>
<WORD coords="2080,2901,2098,2874,2889">,</WORD>
<WORD coords="2131,2889,2322,2831,2887">llamó</WORD>
<WORD coords="2380,2888,2409,2835,2888">á</WORD>
<WORD coords="2461,2890,2562,2834,2889">di-</WORD>
</LINE>
<LINE>
<WORD coords="198,2984,319,2924,2984">cho</WORD>
<WORD coords="386,3006,683,2927,2984">reügioso</WORD>
<WORD coords="745,3006,865,2950,2989">que</WORD>
<WORD coords="921,2989,987,2950,2988">se</WORD>
<WORD coords="1046,2991,1286,2929,2989">hallaba</WORD>
<WORD coords="1354,2992,1429,2954,2991">en</WORD>
<WORD coords="1487,2994,1671,2935,2992">Lima</WORD>
<WORD coords="1706,3005,1722,2982,3005">,</WORD>
<WORD coords="1778,3011,1926,2956,2993">para</WORD>
<WORD coords="1973,3011,2091,2957,2993">que</WORD>
<WORD coords="2150,3013,2420,2956,2993">ocupara</WORD>
<WORD coords="2504,2999,2563,2940,2998">la</WORD>
</LINE>
<LINE>
<WORD coords="195,3094,467,3033,3091">Cátedra</WORD>
<WORD coords="514,3094,590,3036,3092">de</WORD>
<WORD coords="624,3096,1069,3036,3094">Matemáticas</WORD>
<WORD coords="1116,3096,1191,3059,3096">en</WORD>
<WORD coords="1241,3097,1297,3042,3096">la</WORD>
<WORD coords="1332,3101,1765,3040,3098">Universidad</WORD>
<WORD coords="1810,3100,1886,3044,3099">de</WORD>
<WORD coords="1920,3120,2182,3042,3098">Megico</WORD>
<WORD coords="2218,3103,2233,3066,3101">:</WORD>
<WORD coords="2271,3100,2323,3046,3099">le</WORD>
<WORD coords="2356,3102,2564,3063,3100">acom-</WORD>
</LINE>
<LINE>
<WORD coords="190,3216,355,3143,3195">pañó</WORD>
<WORD coords="393,3199,470,3161,3199">en</WORD>
<WORD coords="519,3200,592,3161,3199">su</WORD>
<WORD coords="646,3223,809,3144,3200">viaje</WORD>
<WORD coords="856,3202,912,3146,3201">el</WORD>
<WORD coords="959,3224,1154,3144,3203">joven</WORD>
<WORD coords="1224,3206,1364,3148,3205">Don</WORD>
<WORD coords="1427,3209,1759,3149,3206">Francisco</WORD>
<WORD coords="1813,3208,1981,3150,3207">Ruiz</WORD>
<WORD coords="2032,3212,2289,3151,3209">Lo2ano</WORD>
<WORD coords="2325,3227,2341,3200,3220">,</WORD>
<WORD coords="2373,3214,2565,3157,3212">discí-</WORD>
</LINE>
<LINE>
<WORD coords="191,3322,340,3250,3302">pulo</WORD>
<WORD coords="398,3327,554,3266,3305">suyo</WORD>
<WORD coords="609,3308,684,3270,3307">en</WORD>
<WORD coords="747,3312,1193,3253,3310">Matemáticas</WORD>
<WORD coords="1225,3329,1243,3301,3329">,</WORD>
<WORD coords="1301,3334,1490,3257,3315">quien</WORD>
<WORD coords="1546,3315,1660,3275,3314">con</WORD>
<WORD coords="1714,3315,1846,3269,3314">esta</WORD>
<WORD coords="1907,3316,2160,3259,3315">ocasión</WORD>
<WORD coords="2219,3318,2368,3260,3317">tubo</WORD>
<WORD coords="2427,3325,2564,3282,3322">mu-</WORD>
</LINE>
<LINE>
<WORD coords="188,3411,305,3352,3410">cha</WORD>
<WORD coords="365,3432,725,3358,3413">aceptación</WORD>
<WORD coords="789,3418,924,3372,3417">ante</WORD>
<WORD coords="980,3418,1036,3363,3417">el</WORD>
<WORD coords="1094,3444,1346,3361,3420">Virrey.</WORD>
<WORD coords="1445,3420,1826,3363,3419">Promovido</WORD>
<WORD coords="1881,3421,1936,3364,3420">el</WORD>
<WORD coords="2002,3422,2220,3364,3421">Conde</WORD>
<WORD coords="2279,3423,2332,3368,3423">al</WORD>
<WORD coords="2410,3428,2556,3368,3427">Vir.</WORD>
</LINE>
<LINE>
<WORD coords="189,3538,449,3473,3516">reynato</WORD>
<WORD coords="504,3520,604,3465,3519">del</WORD>
<WORD coords="669,3524,829,3466,3521">Perú</WORD>
<WORD coords="863,3539,879,3512,3539">,</WORD>
<WORD coords="935,3548,1096,3468,3523">trajo</WORD>
<WORD coords="1146,3527,1222,3490,3526">en</WORD>
<WORD coords="1276,3529,1348,3491,3528">su</WORD>
<WORD coords="1407,3527,1645,3465,3526">familia</WORD>
<WORD coords="1711,3527,1740,3474,3527">á</WORD>
<WORD coords="1804,3527,2065,3467,3526">Lozano</WORD>
<WORD coords="2095,3541,2111,3516,3541">,</WORD>
<WORD coords="2168,3547,2207,3490,3538">y</WORD>
<WORD coords="2266,3530,2340,3492,3529">en</WORD>
<WORD coords="2402,3538,2560,3480,3533">1657</WORD>
</LINE>
<LINE>
<WORD coords="188,3625,390,3563,3621">fundó</WORD>
<WORD coords="447,3627,570,3587,3625">una</WORD>
<WORD coords="618,3629,887,3571,3628">Cátedra</WORD>
<WORD coords="933,3631,1011,3573,3630">de</WORD>
<WORD coords="1076,3635,1521,3574,3633">Matemáticas</WORD>
<WORD coords="1566,3634,1639,3594,3633">en</WORD>
<WORD coords="1696,3635,1753,3578,3634">el</WORD>
<WORD coords="1816,3651,2105,3576,3633">Hospital</WORD>
<WORD coords="2154,3638,2253,3580,3637">del</WORD>
<WORD coords="2313,3658,2555,3583,3640">Espíri-</WORD>
</LINE>
<LINE>
<WORD coords="188,3728,256,3681,3727">tu</WORD>
<WORD coords="319,3732,506,3671,3729">Santo</WORD>
<WORD coords="561,3747,580,3717,3747">,</WORD>
<WORD coords="636,3751,781,3695,3733">para</WORD>
<WORD coords="836,3735,888,3680,3734">la</WORD>
<WORD coords="951,3741,1302,3685,3738">enseñanza</WORD>
<WORD coords="1358,3739,1436,3681,3738">de</WORD>
<WORD coords="1493,3740,1584,3683,3738">los</WORD>
<WORD coords="1651,3740,1884,3683,3738">Pilotos</WORD>
<WORD coords="1931,3740,2032,3684,3739">del</WORD>
<WORD coords="2078,3744,2211,3703,3742">mar</WORD>
<WORD coords="2265,3747,2365,3690,3745">del</WORD>
<WORD coords="2414,3745,2532,3690,3745">Sur</WORD>
<WORD coords="2534,3764,2555,3733,3764">#</WORD>
</LINE>
<LINE>
<WORD coords="184,3839,572,3780,3836">nombrando</WORD>
<WORD coords="629,3859,742,3802,3840">por</WORD>
<WORD coords="799,3847,1192,3787,3844">Catedrático</WORD>
<WORD coords="1254,3845,1284,3792,3845">á</WORD>
<WORD coords="1341,3847,1527,3787,3845">dicho</WORD>
<WORD coords="1591,3847,1733,3789,3846">Don</WORD>
<WORD coords="1802,3849,2132,3788,3846">Francisco</WORD>
<WORD coords="2166,3864,2183,3837,3864">,</WORD>
<WORD coords="2242,3869,2360,3812,3849">que</WORD>
<WORD coords="2410,3850,2547,3796,3849">des-</WORD>
</LINE>
<LINE>
<WORD coords="187,3967,339,3903,3946">pues</WORD>
<WORD coords="410,3952,519,3882,3947">fué</WORD>
<WORD coords="581,3956,853,3891,3953">General</WORD>
<WORD coords="904,3956,1008,3895,3955">del</WORD>
<WORD coords="1066,3956,1200,3915,3955">mar</WORD>
<WORD coords="1254,3954,1356,3896,3953">del</WORD>
<WORD coords="1412,3958,1551,3895,3954">Sur.</WORD>
<WORD coords="1645,3959,1795,3898,3957">Este</WORD>
<WORD coords="1856,3957,1924,3914,3957">es</WORD>
<WORD coords="1981,3959,2040,3903,3957">el</WORD>
<WORD coords="2109,3977,2228,3919,3957">que</WORD>
<WORD coords="2282,3959,2550,3898,3956">observó</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1326,4062,1416,4007,4062">40</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0163.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0164.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0164.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1754,466,1974,372,464">154</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="696,593,871,543,591">antes</WORD>
<WORD coords="917,610,1032,551,591">qu*</WORD>
<WORD coords="1085,592,1356,528,590">Heveíio</WORD>
<WORD coords="1408,590,1465,529,589">el</WORD>
<WORD coords="1527,590,1789,528,587">Cometa</WORD>
<WORD coords="1831,587,1908,534,586">de</WORD>
<WORD coords="1973,587,2152,529,585">1660.</WORD>
<WORD coords="2244,587,2304,541,585">Jx</WORD>
<WORD coords="2341,585,2599,540,583">lozano</WORD>
<WORD coords="2654,592,3065,525,585">succediero»</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="696,699,791,637,697">los</WORD>
<WORD coords="848,718,1213,640,697">siguientes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="948,807,1092,748,806">Don</WORD>
<WORD coords="1138,826,1297,748,810">Juan</WORD>
<WORD coords="1348,806,1589,748,805">Ramón</WORD>
<WORD coords="1641,827,1890,747,805">Koenig</WORD>
<WORD coords="1926,818,1942,793,818">,</WORD>
<WORD coords="2002,821,2344,749,804">presbítero</WORD>
<WORD coords="2418,807,2758,746,805">Flamenco</WORD>
<WORD coords="2791,822,2810,791,822">,</WORD>
<WORD coords="2866,825,3056,766,807">cape»</WORD>
</LINE>
<LINE>
<WORD coords="694,917,816,853,915">lian</WORD>
<WORD coords="871,915,998,857,914">real</WORD>
<WORD coords="1045,934,1086,877,924">y</WORD>
<WORD coords="1129,915,1232,856,913">del</WORD>
<WORD coords="1276,929,1566,855,913">Hospital</WORD>
<WORD coords="1619,913,1717,857,912">del</WORD>
<WORD coords="1774,929,2053,856,913">Espíritu</WORD>
<WORD coords="2104,914,2311,858,911">Santo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="947,1020,1091,963,1019">Don</WORD>
<WORD coords="1147,1020,1345,962,1018">Pedro</WORD>
<WORD coords="1399,1020,1651,963,1019">Peralta</WORD>
<WORD coords="1684,1040,1722,983,1031">y</WORD>
<WORD coords="1773,1022,2104,963,1019">Barnuevo</WORD>
<WORD coords="2137,1035,2153,1009,1035">,</WORD>
<WORD coords="2188,1039,2306,985,1021">que</WORD>
<WORD coords="2353,1021,2472,984,1021">aun</WORD>
<WORD coords="2535,1022,2701,963,1020">vivía</WORD>
<WORD coords="2758,1021,2831,983,1020">en</WORD>
<WORD coords="2870,1023,3051,965,1020">1730:</WORD>
</LINE>
<LINE>
<WORD coords="689,1146,888,1068,1125">sujeto</WORD>
<WORD coords="939,1125,1010,1068,1125">de</WORD>
<WORD coords="1053,1152,1233,1071,1125">quien</WORD>
<WORD coords="1279,1125,1353,1087,1124">no</WORD>
<WORD coords="1411,1125,1479,1087,1125">se</WORD>
<WORD coords="1527,1146,1719,1071,1126">puede</WORD>
<WORD coords="1775,1126,1991,1068,1125">hablar</WORD>
<WORD coords="2046,1127,2149,1072,1125">sin</WORD>
<WORD coords="2196,1129,2385,1072,1127">admir</WORD>
<WORD coords="2400,1128,2572,1076,1127">ación</WORD>
<WORD coords="2592,1134,2613,1093,1134">;</WORD>
<WORD coords="2639,1149,2874,1081,1125">porque</WORD>
<WORD coords="2917,1147,3058,1081,1125">ape*</WORD>
</LINE>
<LINE>
<WORD coords="689,1232,805,1190,1230">fias</WORD>
<WORD coords="839,1256,887,1182,1243">C</WORD>
<WORD coords="892,1231,956,1178,1230">ni</WORD>
<WORD coords="1000,1235,1123,1194,1233">aun</WORD>
<WORD coords="1180,1256,1406,1188,1236">apenas</WORD>
<WORD coords="1410,1252,1459,1177,1234">J</WORD>
<WORD coords="1512,1234,1577,1197,1233">se</WORD>
<WORD coords="1620,1238,1862,1178,1234">hallará</WORD>
<WORD coords="1917,1235,1991,1196,1234">en</WORD>
<WORD coords="2048,1236,2189,1179,1235">toda</WORD>
<WORD coords="2249,1259,2495,1181,1236">Europa</WORD>
<WORD coords="2542,1237,2783,1175,1232">hombre</WORD>
<WORD coords="2833,1251,3060,1180,1229">alguno</WORD>
</LINE>
<LINE>
<WORD coords="685,1340,763,1284,1339">de</WORD>
<WORD coords="819,1362,1166,1284,1340">superiores</WORD>
<WORD coords="1229,1341,1489,1287,1340">talentos</WORD>
<WORD coords="1533,1362,1574,1304,1352">y</WORD>
<WORD coords="1627,1343,1963,1285,1340">erudición»</WORD>
<WORD coords="2060,1343,2213,1286,1342">Sabe</WORD>
<WORD coords="2293,1347,2404,1306,1344">con</WORD>
<WORD coords="2486,1368,2842,1283,1342">perfección</WORD>
<WORD coords="2904,1336,3049,1282,1335">ocho</WORD>
</LINE>
<LINE>
<WORD coords="689,1466,948,1388,1445">lenguas</WORD>
<WORD coords="980,1461,997,1432,1461">,</WORD>
<WORD coords="1025,1467,1067,1408,1457">y</WORD>
<WORD coords="1109,1446,1183,1408,1446">en</WORD>
<WORD coords="1235,1448,1406,1388,1446">todas</WORD>
<WORD coords="1451,1448,1593,1391,1447">ocho</WORD>
<WORD coords="1640,1471,1926,1390,1448">versifica</WORD>
<WORD coords="1971,1451,2082,1411,1450">con</WORD>
<WORD coords="2128,1452,2364,1393,1449">notable</WORD>
<WORD coords="2419,1469,2729,1398,1447">elegancia</WORD>
<WORD coords="2972,1441,3057,1386,1440">Es</WORD>
</LINE>
<LINE>
<WORD coords="680,1579,995,1496,1558">profundo</WORD>
<WORD coords="1058,1556,1435,1500,1554">matemático</WORD>
<WORD coords="1471,1573,1488,1544,1565">,</WORD>
<WORD coords="1531,1557,1604,1517,1556">en</WORD>
<WORD coords="1679,1578,1836,1520,1556">cuya</WORD>
<WORD coords="1869,1579,2168,1499,1560">facultad</WORD>
<WORD coords="2209,1559,2236,1522,1559">o</WORD>
<WORD coords="2264,1581,2618,1500,1559">facultades</WORD>
<WORD coords="2676,1576,2854,1502,1554">logra</WORD>
<WORD coords="2901,1550,3057,1497,1548">altos</WORD>
</LINE>
<LINE>
<WORD coords="684,1663,953,1606,1661">créditos</WORD>
<WORD coords="996,1662,1171,1614,1661">ejitre</WORD>
<WORD coords="1215,1664,1301,1613,1662">los</WORD>
<WORD coords="1350,1665,1621,1616,1663">eruditos</WORD>
<WORD coords="1681,1664,1751,1611,1663">de</WORD>
<WORD coords="1809,1665,1977,1618,1662">otras</WORD>
<WORD coords="2032,1666,2315,1609,1664">naciones</WORD>
<WORD coords="2344,1667,2364,1628,1667">;</WORD>
<WORD coords="2419,1685,2568,1621,1662">pues</WORD>
<WORD coords="2628,1666,2707,1610,1665">ha</WORD>
<WORD coords="2767,1660,3061,1598,1657">merecido</WORD>
</LINE>
<LINE>
<WORD coords="685,1793,807,1729,1769">que</WORD>
<WORD coords="846,1770,905,1714,1770">la</WORD>
<WORD coords="951,1770,1278,1712,1768">Academia</WORD>
<WORD coords="1336,1770,1467,1713,1769">real</WORD>
<WORD coords="1520,1772,1592,1715,1770">de</WORD>
<WORD coords="1638,1772,1728,1715,1771">las</WORD>
<WORD coords="1791,1773,2055,1717,1771">ciencias</WORD>
<WORD coords="2115,1771,2186,1717,1770">de</WORD>
<WORD coords="2258,1773,2436,1720,1770">Parts</WORD>
<WORD coords="2488,1792,2823,1725,1769">estampase</WORD>
<WORD coords="2868,1764,2939,1724,1763">en</WORD>
<WORD coords="2988,1762,3065,1720,1761">su</WORD>
</LINE>
<LINE>
<WORD coords="687,1883,985,1819,1878">Historia</WORD>
<WORD coords="1029,1899,1293,1821,1877">algunas</WORD>
<WORD coords="1349,1881,1804,1824,1878">observaciones</WORD>
<WORD coords="1863,1880,1933,1823,1878">de</WORD>
<WORD coords="1998,1899,2269,1824,1878">Eclipses</WORD>
<WORD coords="2328,1906,2441,1845,1882">que</WORD>
<WORD coords="2488,1885,2566,1829,1884">ha</WORD>
<WORD coords="2611,1883,2887,1821,1877">remitido</WORD>
<WORD coords="2913,1891,2930,1861,1891">%</WORD>
<WORD coords="2963,1873,3066,1816,1872">di»</WORD>
</LINE>
<LINE>
<WORD coords="685,1992,761,1945,1988">Ce</WORD>
<WORD coords="814,2005,1058,1927,1985">Feyjoo</WORD>
<WORD coords="1087,2000,1102,1973,1994">,</WORD>
<WORD coords="1127,1989,1300,1939,1986">tomo</WORD>
<WORD coords="1355,1990,1416,1934,1988">4,</WORD>
<WORD coords="1473,1987,1775,1930,1984">Discurso</WORD>
<WORD coords="1820,1984,1876,1933,1983">6.</WORD>
<WORD coords="2001,2006,2339,1929,1985">Españoles</WORD>
<WORD coords="2398,1991,2814,1932,1988">Americanos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="946,2094,1090,2036,2092">Don</WORD>
<WORD coords="1140,2100,1298,2036,2094">Luis</WORD>
<WORD coords="1375,2095,1588,2037,2093">Godin</WORD>
<WORD coords="1618,2095,1632,2078,2094">.</WORD>
<WORD coords="1689,2093,2055,2035,2092">académico</WORD>
<WORD coords="2123,2095,2473,2037,2093">Parisiense</WORD>
<WORD coords="2507,2111,2522,2084,2104">,</WORD>
<WORD coords="2572,2098,2650,2039,2096">de</WORD>
<WORD coords="2709,2094,2765,2041,2094">la</WORD>
<WORD coords="2818,2112,3071,2052,2093">compag-</WORD>
</LINE>
<LINE>
<WORD coords="687,2205,798,2145,2203">ina</WORD>
<WORD coords="856,2201,1182,2142,2199">destinada</WORD>
<WORD coords="1236,2201,1266,2147,2201">á</WORD>
<WORD coords="1322,2202,1378,2146,2201">la</WORD>
<WORD coords="1438,2202,1692,2143,2200">medida</WORD>
<WORD coords="1742,2200,1818,2143,2199">de</WORD>
<WORD coords="1881,2198,1972,2144,2197">los</WORD>
<WORD coords="2030,2219,2256,2145,2197">grados</WORD>
<WORD coords="2307,2201,2379,2165,2200">en</WORD>
<WORD coords="2433,2200,2485,2145,2200">el</WORD>
<WORD coords="2551,2200,2864,2145,2199">Ecuador.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="945,2314,1024,2252,2312">El</WORD>
<WORD coords="1092,2312,1287,2254,2309">Padre</WORD>
<WORD coords="1326,2330,1494,2254,2315">Juan</WORD>
<WORD coords="1541,2313,1712,2253,2311">Rher</WORD>
<WORD coords="1747,2329,1766,2298,2329">,</WORD>
<WORD coords="1822,2334,2067,2254,2312">Jesuíta</WORD>
<WORD coords="2114,2332,2423,2251,2308">Húngaro</WORD>
<WORD coords="2460,2322,2478,2275,2317">;</WORD>
<WORD coords="2532,2313,2865,2250,2308">destinado</WORD>
<WORD coords="2910,2304,2938,2249,2306">á</WORD>
<WORD coords="2974,2306,3069,2246,2304">las</WORD>
</LINE>
<LINE>
<WORD coords="692,2420,1010,2358,2417">¡Misiones</WORD>
<WORD coords="1054,2417,1130,2359,2417">de</WORD>
<WORD coords="1191,2419,1282,2363,2417">los</WORD>
<WORD coords="1333,2439,1574,2361,2416">Mojos.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="951,2525,1091,2468,2524">Don</WORD>
<WORD coords="1155,2527,1384,2467,2525">Cosme</WORD>
<WORD coords="1448,2528,1664,2469,2525">Bueno</WORD>
<WORD coords="1698,2539,1716,2514,2539">%</WORD>
<WORD coords="1770,2527,2016,2469,2525">medico</WORD>
<WORD coords="2070,2526,2147,2471,2526">de</WORD>
<WORD coords="2223,2526,2400,2469,2525">Lima</WORD>
<WORD coords="2439,2540,2454,2515,2533">,</WORD>
<WORD coords="2514,2526,2589,2468,2526">de</WORD>
<WORD coords="2641,2525,2698,2468,2525">la</WORD>
<WORD coords="2762,2521,3076,2453,2517">Sociedad</WORD>
</LINE>
<LINE>
<WORD coords="694,2653,1103,2569,2630">Bascongada</WORD>
<WORD coords="1159,2652,1199,2593,2642">y</WORD>
<WORD coords="1247,2633,1323,2574,2632">de</WORD>
<WORD coords="1384,2633,1439,2576,2631">la</WORD>
<WORD coords="1492,2634,1843,2576,2632">Académia</WORD>
<WORD coords="1883,2634,2274,2579,2632">Matritense.</WORD>
<WORD coords="2370,2655,2528,2576,2632">Bjjo</WORD>
<WORD coords="2584,2630,2640,2575,2629">la</WORD>
<WORD coords="2696,2629,3079,2569,2624">instrucción</WORD>
</LINE>
<LINE>
<WORD coords="692,2762,733,2699,2751">y</WORD>
<WORD coords="800,2740,1125,2682,2737">dirección</WORD>
<WORD coords="1185,2739,1262,2682,2738">de</WORD>
<WORD coords="1309,2740,1439,2694,2738">este</WORD>
<WORD coords="1490,2740,1663,2681,2739">sabio</WORD>
<WORD coords="1718,2749,1869,2704,2739">puso</WORD>
<WORD coords="1925,2742,1997,2706,2741">en</WORD>
<WORD coords="2047,2762,2337,2684,2740">ejercicio</WORD>
<WORD coords="2388,2740,2441,2687,2739">el</WORD>
<WORD coords="2500,2756,2727,2683,2738">Virrey</WORD>
<WORD coords="2770,2734,2961,2682,2731">Arnat</WORD>
<WORD coords="3020,2731,3076,2678,2729">la</WORD>
</LINE>
<LINE>
<WORD coords="699,2846,971,2788,2844">Cátedra</WORD>
<WORD coords="1014,2845,1090,2789,2845">de</WORD>
<WORD coords="1143,2847,1580,2788,2845">Matemáticas</WORD>
<WORD coords="1624,2861,1943,2788,2846">fundada,</WORD>
<WORD coords="1988,2850,2213,2794,2849">mucho</WORD>
<WORD coords="2265,2869,2496,2807,2850">tiempo</WORD>
<WORD coords="2541,2855,2729,2792,2849">.había</WORD>
<WORD coords="2773,2860,2787,2834,2860">,</WORD>
<WORD coords="2828,2862,2935,2805,2841">por</WORD>
<WORD coords="2993,2841,3054,2783,2840">el</WORD>
</LINE>
<LINE>
<WORD coords="698,2971,839,2891,2951">Rey</WORD>
<WORD coords="897,2954,971,2915,2952">en</WORD>
<WORD coords="1024,2951,1079,2897,2951">la</WORD>
<WORD coords="1138,2955,1565,2894,2952">Universidad</WORD>
<WORD coords="1608,2954,1683,2897,2953">de</WORD>
<WORD coords="1746,2956,1808,2899,2956">S.</WORD>
<WORD coords="1862,2957,2120,2900,2955">Marcos</WORD>
<WORD coords="2155,2968,2171,2945,2968">,</WORD>
<WORD coords="2227,2978,2267,2920,2967">y</WORD>
<WORD coords="2311,2957,2368,2901,2956">la</WORD>
<WORD coords="2426,2974,2544,2922,2957">que</WORD>
<WORD coords="2605,2956,2777,2900,2953">hasta</WORD>
<WORD coords="2853,2951,3067,2907,2949">enton-</WORD>
</LINE>
<LINE>
<WORD coords="698,3057,803,3018,3056">ces</WORD>
<WORD coords="862,3060,1071,3002,3058">estaba</WORD>
<WORD coords="1133,3060,1313,3021,3059">como</WORD>
<WORD coords="1360,3061,1645,3003,3059">dormida</WORD>
<WORD coords="1697,3081,1805,3025,3061">por</WORD>
<WORD coords="1853,3063,2000,3006,3061">falta</WORD>
<WORD coords="2063,3062,2138,3007,3062">de</WORD>
<WORD coords="2196,3064,2630,3019,3062">concurrentes</WORD>
<WORD coords="2664,3076,2680,3050,3076">,</WORD>
<WORD coords="2712,3081,2906,3016,3058">segurí</WORD>
<WORD coords="2964,3056,3063,2998,3055">di»</WORD>
</LINE>
<LINE>
<WORD coords="698,3163,771,3124,3162">ce</WORD>
<WORD coords="833,3164,911,3108,3163">D.</WORD>
<WORD coords="975,3188,1285,3109,3164">Gregorio</WORD>
<WORD coords="1341,3170,1607,3112,3168">Paredes</WORD>
<WORD coords="1665,3191,1784,3115,3170">(a).</WORD>
<WORD coords="1883,3170,1955,3115,3168">El</WORD>
<WORD coords="2014,3170,2213,3114,3169">Señor</WORD>
<WORD coords="2270,3172,2466,3120,3171">Amat</WORD>
<WORD coords="2521,3173,2625,3116,3172">dio</WORD>
<WORD coords="2680,3168,2708,3117,3168">á</WORD>
<WORD coords="2770,3167,2897,3119,3165">esta</WORD>
<WORD coords="2944,3164,3060,3105,3163">Fa-</WORD>
</LINE>
<LINE>
<WORD coords="697,3272,908,3214,3270">cultad</WORD>
<WORD coords="946,3271,1003,3214,3271">la</WORD>
<WORD coords="1052,3277,1403,3220,3273">estimación</WORD>
<WORD coords="1436,3290,1453,3263,3290">,</WORD>
<WORD coords="1496,3299,1610,3238,3275">que</WORD>
<WORD coords="1662,3277,1737,3238,3276">no</WORD>
<WORD coords="1802,3277,1967,3221,3275">tenia</WORD>
<WORD coords="1999,3289,2013,3264,3284">,</WORD>
<WORD coords="2070,3279,2106,3220,3279">é</WORD>
<WORD coords="2158,3297,2275,3233,3277">por</WORD>
<WORD coords="2330,3279,2606,3221,3276">descuido</WORD>
<WORD coords="2655,3277,2725,3221,3276">de</WORD>
<WORD coords="2771,3276,2830,3220,3275">la</WORD>
<WORD coords="2890,3270,3061,3225,3269">aten-</WORD>
</LINE>
<LINE>
<WORD coords="701,3378,841,3321,3375">ción</WORD>
<WORD coords="869,3387,884,3365,3384">,</WORD>
<WORD coords="943,3379,973,3339,3379">o</WORD>
<WORD coords="1035,3401,1399,3320,3380">infelicidad</WORD>
<WORD coords="1465,3382,1536,3328,3381">de</WORD>
<WORD coords="1595,3383,1678,3327,3382">Igs</WORD>
<WORD coords="1738,3401,1987,3336,3382">tiempos</WORD>
<WORD coords="2018,3394,2034,3370,3389">,</WORD>
<WORD coords="2091,3384,2309,3328,3382">nacida</WORD>
<WORD coords="2362,3383,2455,3326,3382">del</WORD>
<WORD coords="2500,3404,2651,3338,3382">poco</WORD>
<WORD coords="2731,3388,2761,3350,3388">o</WORD>
<WORD coords="2821,3397,3066,3336,3378">ningún</WORD>
</LINE>
<LINE>
<WORD coords="701,3504,948,3430,3482">aprecio</WORD>
<WORD coords="997,3508,1110,3448,3485">que</WORD>
<WORD coords="1164,3490,1229,3450,3488">se</WORD>
<WORD coords="1282,3487,1361,3432,3487">ha</WORD>
<WORD coords="1414,3489,1596,3432,3487">hecho</WORD>
<WORD coords="1645,3492,1716,3435,3491">de</WORD>
<WORD coords="1776,3491,1847,3454,3490">su</WORD>
<WORD coords="1907,3493,2173,3434,3489">utilidad</WORD>
<WORD coords="2198,3503,2214,3478,3503">,</WORD>
<WORD coords="2275,3511,2316,3454,3501">y</WORD>
<WORD coords="2362,3491,2455,3436,3489">del</WORD>
<WORD coords="2504,3507,2744,3450,3487">mngun</WORD>
<WORD coords="2790,3485,3063,3426,3482">ecsitati-</WORD>
</LINE>
<LINE>
<WORD coords="703,3590,779,3546,3587">%o</WORD>
<WORD coords="825,3589,862,3552,3589">a</WORD>
<WORD coords="906,3589,1018,3534,3588">ella</WORD>
<WORD coords="1056,3610,1171,3550,3591">por</WORD>
<WORD coords="1207,3615,1381,3536,3597">falta</WORD>
<WORD coords="1432,3596,1505,3540,3595">de</WORD>
<WORD coords="1556,3599,1987,3538,3595">conocimiento</WORD>
<WORD coords="2040,3620,2121,3541,3602">(b</WORD>
<WORD coords="2125,3610,2195,3540,3596">J.</WORD>
<WORD coords="2287,3596,2415,3540,3595">Los</WORD>
<WORD coords="2462,3596,2575,3540,3594">dos</WORD>
<WORD coords="2633,3592,2799,3548,3588">actos</WORD>
<WORD coords="2863,3601,3065,3532,3588">públi-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="790,3829,843,3757,3829">C</WORD>
<WORD coords="849,3798,875,3771,3798">*</WORD>
<WORD coords="884,3820,930,3748,3814">)</WORD>
<WORD coords="1033,3806,1177,3749,3804">Vida</WORD>
<WORD coords="1236,3808,1306,3753,3807">de</WORD>
<WORD coords="1355,3826,1665,3752,3809">Moreno;</WORD>
<WORD coords="1711,3836,2082,3758,3811">Almanaque</WORD>
<WORD coords="2138,3814,2411,3759,3810">Peruano</WORD>
<WORD coords="2456,3809,2527,3754,3809">de</WORD>
<WORD coords="2590,3809,2761,3760,3806">18i0.</WORD>
</LINE>
<LINE>
<WORD coords="784,3917,928,3834,3903">fbj</WORD>
<WORD coords="1026,3889,1340,3832,3886">Certamen</WORD>
<WORD coords="1401,3892,1430,3855,3892">o</WORD>
<WORD coords="1506,3895,1930,3837,3893">Conclusiones</WORD>
<WORD coords="1996,3894,2431,3839,3891">Matemáticas</WORD>
<WORD coords="2461,3892,2470,3883,3892">.</WORD>
<WORD coords="2522,3915,2655,3836,3890">bajo</WORD>
<WORD coords="2704,3890,2760,3838,3889">la</WORD>
<WORD coords="2814,3886,3080,3839,3883">tnstruc*</WORD>
</LINE>
<LINE>
<WORD coords="1050,3974,1193,3932,3972">cim</WORD>
<WORD coords="1220,3975,1293,3916,3974">de</WORD>
<WORD coords="1336,3980,1484,3919,3979">Don</WORD>
<WORD coords="1522,3984,1729,3924,3982">Cosme</WORD>
<WORD coords="1759,3983,1969,3923,3981">Bueno</WORD>
<WORD coords="2001,3985,2022,3943,3983">¿</WORD>
<WORD coords="2055,3981,2128,3941,3981">en</WORD>
<WORD coords="2172,3980,2230,3928,3980">la</WORD>
<WORD coords="2276,3981,2678,3920,3979">Dedicatoria</WORD>
<WORD coords="2735,3975,2795,3920,3974">ai</WORD>
<WORD coords="2836,3993,3078,3913,3970">Virrey*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0164.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0165.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0165.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1256,538,1472,446,538">155</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="169,652,277,611,651">eos</WORD>
<WORD coords="343,651,421,590,650">de</WORD>
<WORD coords="496,652,945,589,649">Matemáticas</WORD>
<WORD coords="1000,670,1183,610,652">puras</WORD>
<WORD coords="1232,673,1271,618,665">y</WORD>
<WORD coords="1326,657,1592,600,655">ciencias</WORD>
<WORD coords="1653,660,1952,601,657">militares</WORD>
<WORD coords="1986,675,2006,645,675">,</WORD>
<WORD coords="2077,680,2200,623,663">que</WORD>
<WORD coords="2262,677,2543,604,662">presidio</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="176,759,322,703,756">Don</WORD>
<WORD coords="379,757,609,700,756">Cosme</WORD>
<WORD coords="644,772,662,745,767">,</WORD>
<WORD coords="699,758,920,698,756">fueron</WORD>
<WORD coords="975,758,1066,699,756">los</WORD>
<WORD coords="1117,774,1418,701,758">primeros</WORD>
<WORD coords="1467,762,1544,707,762">de</WORD>
<WORD coords="1588,765,1661,727,764">su</WORD>
<WORD coords="1717,764,1876,709,763">línea</WORD>
<WORD coords="1937,785,2055,729,766">que</WORD>
<WORD coords="2112,770,2324,717,767">vieron</WORD>
<WORD coords="2351,770,2539,733,769">núes*</WORD>
</LINE>
<LINE>
<WORD coords="168,866,299,818,863">tras</WORD>
<WORD coords="363,867,561,808,863">Aulas</WORD>
<WORD coords="601,865,616,830,866">:</WORD>
<WORD coords="676,862,867,805,861">desde</WORD>
<WORD coords="917,866,1205,818,861">entonces</WORD>
<WORD coords="1258,865,1322,829,864">se</WORD>
<WORD coords="1363,867,1519,810,866">debe</WORD>
<WORD coords="1564,870,1776,826,867">contar</WORD>
<WORD coords="1825,872,1879,815,871">la</WORD>
<WORD coords="1925,891,2116,835,872">época</WORD>
<WORD coords="2176,876,2541,814,872">fundamen-</WORD>
</LINE>
<LINE>
<WORD coords="164,973,251,918,972">tal</WORD>
<WORD coords="309,973,387,917,972">de</WORD>
<WORD coords="445,972,500,918,972">la</WORD>
<WORD coords="546,973,979,915,971">introducción</WORD>
<WORD coords="1034,973,1111,913,971">de</WORD>
<WORD coords="1170,971,1257,915,970">las</WORD>
<WORD coords="1320,976,1763,915,972">Matemáticas</WORD>
<WORD coords="1820,977,1895,941,976">en</WORD>
<WORD coords="1941,978,1995,923,978">la</WORD>
<WORD coords="2052,981,2396,927,978">enseñanza</WORD>
<WORD coords="2430,996,2544,928,981">pú«</WORD>
</LINE>
<LINE>
<WORD coords="171,1083,355,1024,1078">b)ica.</WORD>
<WORD coords="412,1100,538,1022,1078">(c).</WORD>
<WORD coords="626,1079,703,1021,1078">Se</WORD>
<WORD coords="760,1078,916,1022,1077">debe</WORD>
<WORD coords="951,1093,968,1065,1093">,</WORD>
<WORD coords="1027,1096,1179,1040,1077">pues</WORD>
<WORD coords="1210,1093,1230,1065,1086">,</WORD>
<WORD coords="1288,1079,1569,1022,1078">concluir</WORD>
<WORD coords="1626,1099,1744,1046,1082">que</WORD>
<WORD coords="1803,1084,1859,1028,1083">la</WORD>
<WORD coords="1941,1087,2374,1028,1085">introducción</WORD>
<WORD coords="2432,1086,2538,1027,1085">del</WORD>
</LINE>
<LINE>
<WORD coords="172,1187,410,1129,1184">cultivo</WORD>
<WORD coords="467,1184,545,1128,1184">de</WORD>
<WORD coords="603,1185,689,1128,1183">las</WORD>
<WORD coords="750,1187,1027,1128,1184">ciencias</WORD>
<WORD coords="1080,1184,1321,1138,1182">esactas</WORD>
<WORD coords="1380,1185,1455,1147,1184">en</WORD>
<WORD coords="1505,1186,1561,1130,1184">el</WORD>
<WORD coords="1614,1190,1779,1133,1185">Perú</WORD>
<WORD coords="1835,1190,1898,1153,1189">se</WORD>
<WORD coords="1946,1193,2105,1135,1191">debe</WORD>
<WORD coords="2152,1188,2181,1137,1188">á</WORD>
<WORD coords="2239,1191,2398,1138,1190">Alva</WORD>
<WORD coords="2456,1194,2537,1135,1192">de</WORD>
</LINE>
<LINE>
<WORD coords="176,1294,356,1234,1292">Liste</WORD>
<WORD coords="395,1301,404,1264,1301">;</WORD>
<WORD coords="461,1312,610,1253,1289">pero</WORD>
<WORD coords="668,1294,742,1254,1292">su</WORD>
<WORD coords="789,1313,1206,1232,1290">propagación</WORD>
<WORD coords="1234,1307,1253,1276,1301">,</WORD>
<WORD coords="1297,1294,1373,1253,1292">su</WORD>
<WORD coords="1432,1294,1800,1235,1292">estimación</WORD>
<WORD coords="1832,1312,1852,1282,1312">,</WORD>
<WORD coords="1894,1315,1935,1259,1307">y</WORD>
<WORD coords="1971,1299,2045,1260,1297">su</WORD>
<WORD coords="2092,1318,2449,1240,1298">publicidad</WORD>
<WORD coords="2484,1299,2546,1242,1299">al</WORD>
</LINE>
<LINE>
<WORD coords="179,1402,380,1343,1399">Señor</WORD>
<WORD coords="444,1400,655,1347,1399">Amat.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="431,1506,571,1451,1506">Don</WORD>
<WORD coords="631,1507,887,1449,1505">Gabriel</WORD>
<WORD coords="954,1508,1221,1447,1505">Moreno</WORD>
<WORD coords="1272,1524,1392,1467,1506">que</WORD>
<WORD coords="1443,1508,1615,1461,1506">tom©</WORD>
<WORD coords="1676,1528,1962,1453,1510">posesión</WORD>
<WORD coords="2021,1513,2098,1455,1513">de</WORD>
<WORD coords="2145,1515,2202,1458,1514">la</WORD>
<WORD coords="2276,1520,2553,1457,1515">Cátedra</WORD>
</LINE>
<LINE>
<WORD coords="175,1614,259,1555,1613">de</WORD>
<WORD coords="321,1630,517,1556,1610">prima</WORD>
<WORD coords="561,1612,636,1575,1611">en</WORD>
<WORD coords="702,1613,852,1562,1612">1801</WORD>
<WORD coords="883,1627,900,1599,1627">,</WORD>
<WORD coords="952,1634,1371,1555,1611">Cosmógrafo</WORD>
<WORD coords="1435,1635,1656,1576,1612">mayor</WORD>
<WORD coords="1715,1616,1814,1560,1615">del</WORD>
<WORD coords="1872,1620,2030,1562,1616">Perú</WORD>
<WORD coords="2058,1633,2073,1608,1621">,</WORD>
<WORD coords="2120,1621,2290,1564,1620">socio</WORD>
<WORD coords="2347,1622,2424,1564,1621">de</WORD>
<WORD coords="2486,1623,2546,1568,1621">la</WORD>
</LINE>
<LINE>
<WORD coords="176,1720,531,1661,1717">Académia</WORD>
<WORD coords="597,1721,992,1660,1717">Matritense.</WORD>
<WORD coords="1084,1722,1217,1662,1721">Fue</WORD>
<WORD coords="1277,1739,1587,1662,1719">discípulo</WORD>
<WORD coords="1631,1723,1707,1665,1722">de</WORD>
<WORD coords="1766,1724,1906,1669,1723">Don</WORD>
<WORD coords="1964,1726,2189,1669,1724">Cosme</WORD>
<WORD coords="2238,1745,2275,1690,1737">y</WORD>
<WORD coords="2317,1730,2546,1670,1727">Pasan-</WORD>
</LINE>
<LINE>
<WORD coords="174,1828,235,1778,1826">te</WORD>
<WORD coords="294,1827,372,1769,1826">de</WORD>
<WORD coords="437,1825,492,1771,1825">la</WORD>
<WORD coords="544,1827,814,1769,1826">Cátedra</WORD>
<WORD coords="873,1827,952,1770,1826">de</WORD>
<WORD coords="1012,1846,1194,1772,1826">aquel</WORD>
<WORD coords="1229,1841,1247,1795,1841">;</WORD>
<WORD coords="1308,1847,1495,1790,1826">pocos</WORD>
<WORD coords="1553,1827,1607,1772,1827">le</WORD>
<WORD coords="1654,1849,1977,1772,1828">igualaron</WORD>
<WORD coords="2035,1832,2111,1795,1832">en</WORD>
<WORD coords="2165,1834,2221,1778,1833">el</WORD>
<WORD coords="2277,1859,2529,1780,1835">manejo</WORD>
</LINE>
<LINE>
<WORD coords="174,1934,255,1876,1933">de</WORD>
<WORD coords="318,1934,375,1877,1934">la</WORD>
<WORD coords="435,1954,655,1879,1932">Lengua</WORD>
<WORD coords="705,1934,890,1877,1933">latina</WORD>
<WORD coords="928,1948,946,1902,1942">;</WORD>
<WORD coords="978,1935,1040,1898,1934">se</WORD>
<WORD coords="1101,1935,1254,1875,1933">hizo</WORD>
<WORD coords="1315,1952,1662,1876,1933">apreciable</WORD>
<WORD coords="1718,1953,1827,1897,1935">por</WORD>
<WORD coords="1884,1938,1991,1899,1937">sus</WORD>
<WORD coords="2050,1945,2541,1885,1940">conocimientos</WORD>
</LINE>
<LINE>
<WORD coords="171,2040,488,1981,2038">botánicos</WORD>
<WORD coords="543,2040,575,1985,2040">á</WORD>
<WORD coords="636,2038,728,1983,2037">los</WORD>
<WORD coords="790,2040,1251,1983,2039">comisionados</WORD>
<WORD coords="1296,2040,1374,1984,2040">de</WORD>
<WORD coords="1422,2041,1476,1986,2040">la</WORD>
<WORD coords="1507,2042,1693,1982,2040">Flora</WORD>
<WORD coords="1736,2044,2027,1985,2041">Peruana</WORD>
<WORD coords="2054,2060,2072,2010,2052">;</WORD>
<WORD coords="2121,2044,2176,1992,2043">el</WORD>
<WORD coords="2232,2048,2341,1990,2046">Dr.</WORD>
<WORD coords="2399,2052,2549,1991,2048">Don</WORD>
</LINE>
<LINE>
<WORD coords="171,2161,464,2086,2144">Hipólito</WORD>
<WORD coords="526,2146,790,2087,2145">Unánue</WORD>
<WORD coords="828,2161,845,2134,2154">,</WORD>
<WORD coords="875,2146,946,2110,2146">su</WORD>
<WORD coords="1005,2162,1314,2089,2144">discípulo</WORD>
<WORD coords="1336,2161,1354,2135,2161">y</WORD>
<WORD coords="1384,2147,1438,2092,2146">le</WORD>
<WORD coords="1473,2148,1702,2090,2146">dedicó</WORD>
<WORD coords="1762,2149,1819,2092,2148">la</WORD>
<WORD coords="1876,2150,2021,2093,2148">obra</WORD>
<WORD coords="2066,2153,2244,2095,2151">sobre</WORD>
<WORD coords="2302,2151,2388,2097,2151">las</WORD>
<WORD coords="2427,2155,2546,2096,2154">Ob»</WORD>
</LINE>
<LINE>
<WORD coords="168,2255,553,2198,2251">$etvaciones</WORD>
<WORD coords="597,2252,695,2195,2250">del</WORD>
<WORD coords="733,2253,910,2196,2251">clima</WORD>
<WORD coords="946,2265,962,2220,2260">;</WORD>
<WORD coords="996,2254,1180,2195,2253">Lima</WORD>
<WORD coords="1226,2254,1384,2196,2253">echó</WORD>
<WORD coords="1439,2256,1654,2218,2255">menos</WORD>
<WORD coords="1705,2258,1784,2218,2258">en</WORD>
<WORD coords="1829,2259,1989,2205,2258">1809</WORD>
<WORD coords="2024,2260,2082,2202,2260">al</WORD>
<WORD coords="2127,2263,2374,2201,2261">medico</WORD>
<WORD coords="2408,2265,2546,2222,2263">mas</WORD>
</LINE>
<LINE>
<WORD coords="162,2382,439,2299,2358">juicioso</WORD>
<WORD coords="484,2377,523,2321,2368">y</WORD>
<WORD coords="582,2360,936,2302,2357">caritativo.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="424,2465,502,2408,2465">El</WORD>
<WORD coords="551,2467,631,2408,2467">R.</WORD>
<WORD coords="696,2467,762,2410,2466">P.</WORD>
<WORD coords="821,2467,893,2409,2467">F.</WORD>
<WORD coords="937,2469,1274,2409,2467">Francisco</WORD>
<WORD coords="1320,2487,1635,2411,2470">Romero,</WORD>
<WORD coords="1665,2473,1743,2412,2472">de</WORD>
<WORD coords="1798,2474,1855,2415,2472">la</WORD>
<WORD coords="1914,2497,2202,2414,2474">Religión</WORD>
<WORD coords="2249,2480,2327,2421,2480">de</WORD>
<WORD coords="2358,2481,2420,2423,2480">P.</WORD>
</LINE>
<LINE>
<WORD coords="179,2595,645,2516,2574">Agonizantes,</WORD>
<WORD coords="673,2578,904,2513,2575">dotado</WORD>
<WORD coords="937,2577,1012,2519,2576">de</WORD>
<WORD coords="1040,2580,1277,2521,2579">buenos</WORD>
<WORD coords="1310,2583,1797,2523,2580">conocimientos</WORD>
<WORD coords="1831,2583,1906,2527,2583">de</WORD>
<WORD coords="1945,2586,2225,2528,2584">Historia</WORD>
<WORD coords="2283,2588,2547,2530,2586">natural*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="426,2681,503,2625,2681">El</WORD>
<WORD coords="578,2683,657,2625,2682">D.</WORD>
<WORD coords="728,2683,811,2626,2681">D.</WORD>
<WORD coords="885,2705,1199,2628,2684">Gregorio</WORD>
<WORD coords="1266,2688,1538,2629,2687">Paredes</WORD>
<WORD coords="1572,2705,1590,2677,2705">,</WORD>
<WORD coords="1646,2713,2064,2632,2690">Cosmógrafo</WORD>
<WORD coords="2151,2717,2369,2654,2694">mayor</WORD>
<WORD coords="2441,2698,2547,2635,2696">del</WORD>
</LINE>
<LINE>
<WORD coords="162,2811,355,2746,2788">reyno</WORD>
<WORD coords="383,2805,405,2773,2797">,</WORD>
<WORD coords="457,2788,735,2731,2786">bastante</WORD>
<WORD coords="781,2790,1083,2734,2788">conocido</WORD>
<WORD coords="1141,2809,1249,2754,2791">por</WORD>
<WORD coords="1305,2794,1378,2757,2793">su</WORD>
<WORD coords="1426,2798,1761,2737,2794">literatura.</WORD>
<WORD coords="2550,2808,2567,2779,2808">A</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="419,2913,646,2837,2892">Pagina</WORD>
<WORD coords="708,2895,829,2836,2895">VI.</WORD>
<WORD coords="888,2896,987,2840,2895">En</WORD>
<WORD coords="1058,2921,1369,2841,2897">Arequipa</WORD>
<WORD coords="1419,2921,1734,2855,2901">promovió</WORD>
<WORD coords="1768,2918,1786,2891,2912">,</WORD>
<WORD coords="2067,2906,2129,2849,2906">A</WORD>
<WORD coords="2187,2925,2526,2850,2906">principios</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="156,3002,238,2942,3001">de</WORD>
<WORD coords="284,3001,422,2954,3000">este</WORD>
<WORD coords="472,3022,629,2944,2999">siglo</WORD>
<WORD coords="670,3023,696,2985,3023">f</WORD>
<WORD coords="738,3002,842,2943,3002">fue</WORD>
<WORD coords="898,3004,1138,2948,3003">cuando</WORD>
<WORD coords="1183,3005,1240,2949,3004">el</WORD>
<WORD coords="1307,3009,1422,2950,3005">Dr.</WORD>
<WORD coords="1491,3009,1609,2952,3007">Dn.</WORD>
<WORD coords="1678,3013,2014,2952,3010">Francisco</WORD>
<WORD coords="2070,3013,2249,2954,3011">Luna</WORD>
<WORD coords="2318,3016,2536,2956,3014">Pizar-</WORD>
</LINE>
<LINE>
<WORD coords="158,3108,232,3067,3107">ro</WORD>
<WORD coords="262,3122,280,3094,3122">,</WORD>
<WORD coords="338,3125,681,3050,3106">presbítero</WORD>
<WORD coords="740,3127,779,3071,3120">y</WORD>
<WORD coords="827,3111,1227,3052,3109">Catedrático</WORD>
<WORD coords="1282,3113,1358,3055,3113">de</WORD>
<WORD coords="1418,3115,1723,3055,3113">Filosofía</WORD>
<WORD coords="1780,3116,1881,3059,3115">del</WORD>
<WORD coords="1932,3138,2195,3061,3117">Colegio</WORD>
<WORD coords="2253,3124,2535,3061,3120">Semina-</WORD>
</LINE>
<LINE>
<WORD coords="159,3213,256,3156,3210">rio</WORD>
<WORD coords="287,3224,303,3198,3221">,</WORD>
<WORD coords="332,3212,432,3155,3210">iba</WORD>
<WORD coords="479,3215,887,3155,3212">diariamente</WORD>
<WORD coords="937,3215,966,3166,3217">á</WORD>
<WORD coords="1012,3217,1240,3159,3215">recibir</WORD>
<WORD coords="1289,3220,1593,3162,3218">lecciones</WORD>
<WORD coords="1639,3220,1741,3163,3219">del</WORD>
<WORD coords="1794,3223,1993,3165,3221">Padre</WORD>
<WORD coords="2057,3243,2351,3167,3225">Matraya</WORD>
<WORD coords="2382,3239,2396,3215,3239">,</WORD>
<WORD coords="2430,3246,2536,3189,3229">pa-</WORD>
</LINE>
<LINE>
<WORD coords="159,3322,226,3282,3321">ra</WORD>
<WORD coords="287,3322,493,3263,3320">darlas</WORD>
<WORD coords="538,3323,571,3265,3325">á</WORD>
<WORD coords="611,3324,717,3286,3322">sus</WORD>
<WORD coords="766,3344,1110,3267,3324">discipulos</WORD>
<WORD coords="1139,3342,1156,3314,3342">,</WORD>
<WORD coords="1185,3348,1305,3291,3329">que</WORD>
<WORD coords="1366,3330,1538,3285,3329">entre</WORD>
<WORD coords="1592,3330,1761,3284,3329">otros</WORD>
<WORD coords="1795,3332,1944,3277,3331">tubo</WORD>
<WORD coords="1986,3333,2016,3279,3333">á</WORD>
<WORD coords="2080,3354,2353,3277,3331">Melgar.</WORD>
<WORD coords="2388,3338,2536,3276,3332">Doq</WORD>
</LINE>
<LINE>
<WORD coords="159,3433,381,3373,3432">Tadeo</WORD>
<WORD coords="430,3436,687,3374,3433">Chavez</WORD>
<WORD coords="750,3455,1063,3378,3435">discípulo</WORD>
<WORD coords="1108,3440,1185,3382,3439">de</WORD>
<WORD coords="1236,3460,1487,3385,3441">Melgar</WORD>
<WORD coords="1539,3442,1715,3383,3440">dictó</WORD>
<WORD coords="1765,3442,1820,3387,3442">la</WORD>
<WORD coords="1869,3446,2174,3384,3444">Filosofía</WORD>
<WORD coords="2230,3461,2269,3405,3452">y</WORD>
<WORD coords="2322,3444,2535,3385,3443">Mate-</WORD>
</LINE>
<LINE>
<WORD coords="158,3541,417,3483,3538">máticas</WORD>
<WORD coords="471,3540,546,3503,3539">en</WORD>
<WORD coords="596,3542,736,3485,3540">aula</WORD>
<WORD coords="794,3560,1049,3486,3543">privada</WORD>
<WORD coords="1100,3549,1232,3490,3547">ácia</WORD>
<WORD coords="1287,3549,1376,3494,3547">los</WORD>
<WORD coords="1430,3548,1580,3495,3546">años</WORD>
<WORD coords="1624,3549,1702,3492,3548">de</WORD>
<WORD coords="1759,3551,1915,3498,3550">1816</WORD>
<WORD coords="1959,3572,1995,3513,3562">y</WORD>
<WORD coords="2073,3552,2147,3496,3551">17</WORD>
<WORD coords="2180,3559,2197,3538,3554">,</WORD>
<WORD coords="2253,3549,2287,3494,3549">á</WORD>
<WORD coords="2332,3566,2524,3511,3550">cuyas</WORD>
</LINE>
<LINE>
<WORD coords="154,3647,580,3587,3644">conferencias</WORD>
<WORD coords="629,3651,805,3591,3647">asistí</WORD>
<WORD coords="854,3652,1057,3595,3650">varias</WORD>
<WORD coords="1105,3654,1291,3616,3653">veces</WORD>
<WORD coords="1329,3670,1348,3642,3662">,</WORD>
<WORD coords="1385,3654,1625,3597,3653">cuando</WORD>
<WORD coords="1682,3674,1764,3618,3654">yo</WORD>
<WORD coords="1821,3658,2067,3599,3655">dictaba</WORD>
<WORD coords="2120,3660,2421,3599,3656">Filosofía</WORD>
<WORD coords="2445,3658,2524,3617,3658">eo</WORD>
</LINE>
<LINE>
<WORD coords="154,3751,210,3695,3750">el</WORD>
<WORD coords="262,3753,563,3708,3751">convento</WORD>
<WORD coords="622,3755,700,3697,3754">de</WORD>
<WORD coords="765,3754,818,3699,3753">la</WORD>
<WORD coords="873,3760,1163,3699,3757">Merced.</WORD>
<WORD coords="1259,3760,1353,3703,3760">En</WORD>
<WORD coords="1409,3760,1567,3707,3759">1819</WORD>
<WORD coords="1624,3761,1798,3704,3760">dictó</WORD>
<WORD coords="1851,3765,2138,3704,3762">Baldivia</WORD>
<WORD coords="2170,3763,2244,3727,3762">en</WORD>
<WORD coords="2291,3764,2345,3708,3763">el</WORD>
<WORD coords="2379,3762,2521,3723,3761">con-</WORD>
</LINE>
<LINE>
<WORD coords="163,3855,347,3813,3854">vento</WORD>
<WORD coords="407,3858,484,3802,3857">de</WORD>
<WORD coords="541,3857,595,3804,3856">la</WORD>
<WORD coords="658,3861,926,3803,3859">Merced</WORD>
<WORD coords="986,3863,1042,3807,3862">el</WORD>
<WORD coords="1100,3866,1283,3829,3864">curso</WORD>
<WORD coords="1326,3864,1401,3809,3864">de</WORD>
<WORD coords="1452,3867,1739,3807,3863">Filosofía</WORD>
<WORD coords="1788,3878,1826,3832,3874">y</WORD>
<WORD coords="1888,3871,2316,3813,3869">Matemáticas</WORD>
<WORD coords="2351,3879,2367,3859,3879">,</WORD>
<WORD coords="2398,3882,2538,3830,3869">que-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="232,4058,370,3968,4058">fQj</WORD>
<WORD coords="475,4030,740,3971,4029">rare(ks</WORD>
<WORD coords="746,4050,766,4015,4050">f</WORD>
<WORD coords="809,4032,909,3972,4031">ubi</WORD>
<WORD coords="962,4056,1180,3986,4034">supra.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0165.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0166.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0166.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="690,675,1002,594,651">Concluyó</WORD>
<WORD coords="1051,656,1127,601,656">éh</WORD>
<WORD coords="1204,660,1355,605,659">1821</WORD>
<WORD coords="1394,644,1412,627,651">*</WORD>
<WORD coords="1458,660,1535,599,659">de</WORD>
<WORD coords="1579,661,1706,614,660">este</WORD>
<WORD coords="1753,662,1935,624,660">curso</WORD>
<WORD coords="1986,662,2142,604,660">salió</WORD>
<WORD coords="2201,662,2342,602,660">Don</WORD>
<WORD coords="2399,679,2605,602,666">Juüan</WORD>
<WORD coords="2657,666,2872,607,664">Marta</WORD>
<WORD coords="2929,668,3057,608,667">L&amp;¿</WORD>
</LINE>
<LINE>
<WORD coords="684,779,797,717,757">pez</WORD>
<WORD coords="833,773,850,747,770">,</WORD>
<WORD coords="897,763,954,707,762">el</WORD>
<WORD coords="1011,782,1281,707,764">primero</WORD>
<WORD coords="1333,785,1452,731,768">que</WORD>
<WORD coords="1530,767,1609,708,767">ha</WORD>
<WORD coords="1667,771,1984,713,768">enseñado</WORD>
<WORD coords="2031,769,2117,714,768">las</WORD>
<WORD coords="2200,770,2645,713,768">Matemáticas</WORD>
<WORD coords="2696,773,2770,735,773">en</WORD>
<WORD coords="2817,776,3057,716,774">Cocha-</WORD>
</LINE>
<LINE>
<WORD coords="683,868,932,802,866">bamba.</WORD>
<WORD coords="1031,888,1315,814,871">Después</WORD>
<WORD coords="1371,873,1448,816,872">de</WORD>
<WORD coords="1499,874,1784,817,873">Baldívia</WORD>
<WORD coords="1832,876,2002,820,874">dicto</WORD>
<WORD coords="2042,876,2121,838,875">un</WORD>
<WORD coords="2175,876,2356,838,874">curso</WORD>
<WORD coords="2414,878,2738,820,875">elemental</WORD>
<WORD coords="2773,880,2850,823,879">de</WORD>
<WORD coords="2901,881,3047,822,881">Ma-</WORD>
</LINE>
<LINE>
<WORD coords="675,977,1005,918,973">temáticas</WORD>
<WORD coords="1056,995,1241,939,978">puras</WORD>
<WORD coords="1286,1000,1328,939,990">y</WORD>
<WORD coords="1376,981,1590,923,979">mistas</WORD>
<WORD coords="1635,981,1692,924,980">el</WORD>
<WORD coords="1748,986,1815,927,982">P.</WORD>
<WORD coords="1879,982,1954,923,981">L.</WORD>
<WORD coords="2007,983,2078,925,983">F.</WORD>
<WORD coords="2121,1002,2435,925,980">Domingo</WORD>
<WORD coords="2483,1002,2704,925,983">López</WORD>
<WORD coords="2759,984,2860,928,983">del</WORD>
<WORD coords="2895,986,3048,928,985">Cas-</WORD>
</LINE>
<LINE>
<WORD coords="680,1080,817,1022,1078">tillo</WORD>
<WORD coords="859,1080,932,1042,1080">en</WORD>
<WORD coords="984,1082,1045,1024,1082">el</WORD>
<WORD coords="1104,1085,1332,1025,1084">mismo</WORD>
<WORD coords="1376,1088,1679,1034,1086">convento</WORD>
<WORD coords="1716,1104,1733,1076,1104">,</WORD>
<WORD coords="1792,1105,1909,1052,1088">que</WORD>
<WORD coords="1958,1087,2017,1032,1087">lo</WORD>
<WORD coords="2070,1089,2375,1035,1087">comenzó</WORD>
<WORD coords="2424,1089,2497,1053,1088">en</WORD>
<WORD coords="2556,1090,2705,1041,1089">1821</WORD>
<WORD coords="2766,1108,2801,1053,1099">y</WORD>
<WORD coords="2845,1090,2904,1034,1089">io</WORD>
<WORD coords="2935,1092,3053,1052,1089">coa</WORD>
</LINE>
<LINE>
<WORD coords="676,1208,868,1130,1184">cluyó</WORD>
<WORD coords="912,1188,986,1150,1187">en</WORD>
<WORD coords="1041,1193,1220,1139,1192">1824.</WORD>
<WORD coords="1308,1194,1403,1133,1193">La</WORD>
<WORD coords="1463,1196,1815,1137,1194">Academia</WORD>
<WORD coords="1876,1196,2225,1139,1194">Lauretana</WORD>
<WORD coords="2285,1194,2351,1159,1193">se</WORD>
<WORD coords="2397,1196,2621,1138,1192">instaló</WORD>
<WORD coords="2668,1196,2740,1158,1195">en</WORD>
<WORD coords="2781,1196,2801,1145,1196">í</WORD>
<WORD coords="2817,1198,2922,1147,1197">821</WORD>
<WORD coords="2969,1209,2983,1185,1209">,</WORD>
<WORD coords="3010,1217,3053,1152,1217">f</WORD>
</LINE>
<LINE>
<WORD coords="674,1310,931,1237,1295">Chayes</WORD>
<WORD coords="991,1300,1099,1236,1299">fue</WORD>
<WORD coords="1141,1300,1199,1242,1299">el</WORD>
<WORD coords="1259,1316,1491,1242,1298">primer</WORD>
<WORD coords="1549,1302,1950,1243,1300">Catedrático</WORD>
<WORD coords="1995,1302,2071,1246,1301">de</WORD>
<WORD coords="2122,1304,2335,1244,1301">Filoso</WORD>
<WORD coords="2368,1303,2426,1244,1300">ía</WORD>
<WORD coords="2480,1322,2523,1264,1313">y</WORD>
<WORD coords="2583,1305,3049,1245,1301">Matemáticas.</WORD>
</LINE>
<LINE>
<WORD coords="678,1422,974,1347,1406">Después</WORD>
<WORD coords="1029,1406,1108,1348,1405">de</WORD>
<WORD coords="1164,1408,1427,1347,1405">Chavez</WORD>
<WORD coords="1487,1408,1665,1351,1405">entró</WORD>
<WORD coords="1730,1408,2018,1352,1407">Baidivia</WORD>
<WORD coords="2051,1424,2066,1397,1424">,</WORD>
<WORD coords="2112,1429,2151,1371,1418">y</WORD>
<WORD coords="2208,1408,2338,1363,1407">este</WORD>
<WORD coords="2395,1407,2619,1351,1406">mismo</WORD>
<WORD coords="2689,1410,2799,1351,1407">fué</WORD>
<WORD coords="2867,1411,3053,1353,1408">Cáte-</WORD>
</LINE>
<LINE>
<WORD coords="673,1511,791,1453,1509">dra</WORD>
<WORD coords="823,1511,921,1473,1510">ico</WORD>
<WORD coords="981,1511,1060,1455,1511">de</WORD>
<WORD coords="1109,1511,1196,1457,1511">las</WORD>
<WORD coords="1250,1513,1503,1456,1511">mismas</WORD>
<WORD coords="1553,1513,1821,1455,1512">ciencias</WORD>
<WORD coords="1858,1516,1929,1477,1515">en</WORD>
<WORD coords="1977,1514,2037,1459,1514">el</WORD>
<WORD coords="2071,1536,2335,1458,1514">Colegio</WORD>
<WORD coords="2380,1514,2455,1459,1513">de</WORD>
<WORD coords="2508,1514,2557,1460,1513">la</WORD>
<WORD coords="2613,1531,3047,1457,1513">Independen-</WORD>
</LINE>
<LINE>
<WORD coords="673,1618,779,1560,1615">cia</WORD>
<WORD coords="830,1639,1061,1560,1616">erijido</WORD>
<WORD coords="1111,1619,1190,1580,1618">en</WORD>
<WORD coords="1248,1621,1405,1568,1619">1827</WORD>
<WORD coords="1449,1620,1524,1581,1618">en</WORD>
<WORD coords="1573,1619,1628,1564,1618">el</WORD>
<WORD coords="1677,1621,1982,1576,1619">convento</WORD>
<WORD coords="2029,1622,2107,1566,1621">de</WORD>
<WORD coords="2166,1643,2514,1566,1620">Agustinos</WORD>
<WORD coords="2547,1636,2566,1587,1628">;</WORD>
<WORD coords="2610,1620,2687,1565,1619">de</WORD>
<WORD coords="2747,1621,2874,1572,1620">éste</WORD>
<WORD coords="2910,1622,3051,1581,1620">cur-</WORD>
</LINE>
<LINE>
<WORD coords="676,1726,752,1685,1723">so</WORD>
<WORD coords="794,1724,952,1667,1722">salió</WORD>
<WORD coords="1022,1725,1163,1667,1724">Don</WORD>
<WORD coords="1213,1726,1513,1667,1724">Mariano</WORD>
<WORD coords="1584,1748,1876,1668,1725">Delgado</WORD>
<WORD coords="1935,1730,2253,1668,1728">fundador</WORD>
<WORD coords="2306,1728,2384,1671,1728">de</WORD>
<WORD coords="2444,1728,2500,1672,1727">la</WORD>
<WORD coords="2559,1728,2909,1673,1726">enseñanza</WORD>
<WORD coords="2965,1729,3047,1669,1728">de</WORD>
</LINE>
<LINE>
<WORD coords="673,1835,1125,1771,1831">Matemáticas</WORD>
<WORD coords="1181,1831,1256,1794,1830">en</WORD>
<WORD coords="1319,1834,1519,1772,1830">Puno.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="935,1959,1064,1881,1936">Pag</WORD>
<WORD coords="1136,1939,1219,1880,1935">V.</WORD>
<WORD coords="1254,1939,1306,1882,1939">A</WORD>
<WORD coords="1327,1959,1523,1890,1938">pesar</WORD>
<WORD coords="1576,1939,1646,1879,1938">de</WORD>
<WORD coords="1699,1942,1864,1892,1938">estas</WORD>
<WORD coords="1914,1961,2422,1884,1940">preocupaciones</WORD>
<WORD coords="2450,1954,2464,1929,1949">,</WORD>
<WORD coords="2494,1944,2618,1882,1941">&amp;?c\</WORD>
<WORD coords="2673,1940,2817,1883,1938">Don</WORD>
<WORD coords="2853,1942,3049,1883,1940">Fran-</WORD>
</LINE>
<LINE>
<WORD coords="673,2046,849,1985,2044">cisco</WORD>
<WORD coords="903,2065,1273,1986,2043">Rodríguez</WORD>
<WORD coords="1322,2045,1496,1987,2044">dictó</WORD>
<WORD coords="1558,2046,1646,1988,2044">las</WORD>
<WORD coords="1708,2048,2156,1988,2045">Matemáticas</WORD>
<WORD coords="2221,2047,2296,2010,2047">en</WORD>
<WORD coords="2355,2051,2504,1999,2050">1811</WORD>
<WORD coords="2554,2070,2593,2014,2070">y</WORD>
<WORD coords="2654,2072,2783,2001,2060">12,</WORD>
<WORD coords="2851,2068,3049,2008,2048">según</WORD>
</LINE>
<LINE>
<WORD coords="667,2157,770,2113,2152">lite</WORD>
<WORD coords="815,2153,936,2094,2151">han</WORD>
<WORD coords="990,2152,1347,2092,2150">informado</WORD>
<WORD coords="1410,2153,1516,2115,2152">sus</WORD>
<WORD coords="1591,2170,1981,2096,2152">discípulos,</WORD>
<WORD coords="2035,2172,2156,2117,2154">que</WORD>
<WORD coords="2213,2156,2437,2098,2154">fueron</WORD>
<WORD coords="2499,2158,2589,2104,2156">los</WORD>
<WORD coords="2678,2180,3049,2104,2157">siguientes:</WORD>
</LINE>
<LINE>
<WORD coords="670,2265,820,2203,2261">£)on</WORD>
<WORD coords="869,2284,1050,2204,2266">Juan</WORD>
<WORD coords="1093,2262,1387,2202,2260">Bautista</WORD>
<WORD coords="1444,2285,1728,2201,2260">Zabiaga</WORD>
<WORD coords="1760,2277,1778,2249,2277">,</WORD>
<WORD coords="1831,2282,2073,2206,2260">Miguel</WORD>
<WORD coords="2138,2263,2198,2205,2263">T</WORD>
<WORD coords="2197,2264,2368,2207,2262">adela</WORD>
<WORD coords="2407,2278,2423,2253,2272">,</WORD>
<WORD coords="2484,2266,2720,2208,2264">Mátias</WORD>
<WORD coords="2781,2266,3043,2208,2263">Carras*</WORD>
</LINE>
<LINE>
<WORD coords="664,2370,739,2329,2369">€0</WORD>
<WORD coords="772,2382,791,2355,2376">,</WORD>
<WORD coords="843,2370,1321,2310,2367">Buenaventura</WORD>
<WORD coords="1387,2387,1604,2311,2366">Aliaga</WORD>
<WORD coords="1639,2381,1656,2353,2375">,</WORD>
<WORD coords="1708,2369,2040,2315,2367">Pantaleon</WORD>
<WORD coords="2104,2391,2398,2313,2369">Montoya</WORD>
<WORD coords="2429,2383,2445,2360,2379">,</WORD>
<WORD coords="2527,2375,2815,2316,2373">Mariano</WORD>
<WORD coords="2879,2373,3064,2317,2371">Bar*&apos;</WORD>
</LINE>
<LINE>
<WORD coords="661,2495,787,2436,2472">gas</WORD>
<WORD coords="815,2487,833,2460,2487">i</WORD>
<WORD coords="878,2474,1113,2416,2471">Gavina</WORD>
<WORD coords="1185,2496,1511,2415,2475">Jaure&apos;gui</WORD>
<WORD coords="1541,2486,1559,2460,2486">,</WORD>
<WORD coords="1616,2497,1779,2416,2480">José</WORD>
<WORD coords="1889,2477,1961,2418,2477">T</WORD>
<WORD coords="1961,2494,2119,2420,2474">jada</WORD>
<WORD coords="2152,2490,2169,2465,2490">,</WORD>
<WORD coords="2215,2499,2457,2422,2476">Gaspar</WORD>
<WORD coords="2510,2480,2708,2425,2479">Rosa?</WORD>
<WORD coords="2744,2491,2759,2429,2486">\</WORD>
<WORD coords="2831,2481,3030,2422,2480">Lucas</WORD>
</LINE>
<LINE>
<WORD coords="666,2583,869,2522,2579">Rosas</WORD>
<WORD coords="900,2593,917,2566,2587">,</WORD>
<WORD coords="954,2579,1215,2524,2578">Antonio</WORD>
<WORD coords="1270,2582,1466,2523,2579">Torre</WORD>
<WORD coords="1484,2595,1500,2569,2588">,</WORD>
<WORD coords="1544,2582,1764,2526,2581">Santos</WORD>
<WORD coords="1803,2582,2010,2524,2581">Cortes</WORD>
<WORD coords="2048,2593,2063,2573,2589">,</WORD>
<WORD coords="2117,2586,2342,2529,2583">Cahsto</WORD>
<WORD coords="2387,2606,2793,2528,2583">Mmteagudo</WORD>
<WORD coords="2829,2598,2843,2573,2592">,</WORD>
<WORD coords="2876,2586,3029,2533,2584">San*</WORD>
</LINE>
<LINE>
<WORD coords="674,2687,702,2641,2687">t</WORD>
<WORD coords="739,2683,768,2649,2683">s</WORD>
<WORD coords="833,2706,1242,2627,2685">Monteagudo</WORD>
<WORD coords="1281,2702,1298,2673,2695">,</WORD>
<WORD coords="1363,2689,1543,2630,2686">Pablo</WORD>
<WORD coords="1588,2690,1806,2630,2688">Florez</WORD>
<WORD coords="1840,2702,1854,2677,2702">,</WORD>
<WORD coords="1887,2710,2117,2631,2691">Rafael</WORD>
<WORD coords="2171,2690,2338,2635,2689">Silva</WORD>
<WORD coords="2369,2701,2384,2679,2701">,</WORD>
<WORD coords="2426,2712,2585,2634,2697">Jóse</WORD>
<WORD coords="2637,2693,2844,2637,2690">Mario</WORD>
<WORD coords="2966,2658,2976,2637,2658">f</WORD>
<WORD coords="2977,2692,3043,2656,2692">a-</WORD>
</LINE>
<LINE>
<WORD coords="669,2793,820,2736,2791">chea</WORD>
<WORD coords="848,2807,867,2779,2800">,</WORD>
<WORD coords="936,2793,1171,2738,2791">Andrés</WORD>
<WORD coords="1256,2794,1505,2736,2791">Castillo</WORD>
<WORD coords="1539,2807,1587,2755,2787">¡&apos;</WORD>
<WORD coords="1632,2794,1887,2736,2792">Manuel</WORD>
<WORD coords="1952,2818,2301,2739,2793">Ech*nique</WORD>
<WORD coords="2328,2808,2344,2784,2803">,</WORD>
<WORD coords="2402,2798,2649,2740,2795">Fermín</WORD>
<WORD coords="2707,2815,3016,2739,2794">F&apos;tgueroa</WORD>
<WORD coords="3023,2810,3040,2782,2810">s</WORD>
</LINE>
<LINE>
<WORD coords="666,2921,899,2840,2902">Rafael</WORD>
<WORD coords="950,2921,1256,2840,2898">Figueroa</WORD>
<WORD coords="1278,2916,1295,2887,2908">,</WORD>
<WORD coords="1342,2901,1590,2842,2899">Aniceto</WORD>
<WORD coords="1649,2901,1923,2843,2899">Musgoso</WORD>
<WORD coords="1956,2916,1974,2887,2916">,</WORD>
<WORD coords="2036,2921,2277,2845,2900">Miguel</WORD>
<WORD coords="2345,2905,2629,2848,2902">Aivarez,</WORD>
<WORD coords="2738,2900,2811,2845,2900">Al</WORD>
<WORD coords="2860,2901,3033,2865,2900">ecsa-</WORD>
</LINE>
<LINE>
<WORD coords="665,3009,808,2967,3007">roen</WORD>
<WORD coords="870,3009,1286,2951,3006">Matemático</WORD>
<WORD coords="1326,3009,1651,2950,3007">asistieron</WORD>
<WORD coords="1706,3008,1782,2954,3007">de</WORD>
<WORD coords="1835,3010,2325,2950,3007">Examinadores</WORD>
<WORD coords="2374,3011,2427,2955,3010">el</WORD>
<WORD coords="2464,3011,2655,2957,3010">Señor</WORD>
<WORD coords="2695,3025,3034,2954,3010">Vidaurre,</WORD>
</LINE>
<LINE>
<WORD coords="667,3116,729,3058,3115">el</WORD>
<WORD coords="773,3115,972,3056,3113">Señor</WORD>
<WORD coords="1012,3129,1265,3056,3114">Pardo,</WORD>
<WORD coords="1310,3136,1352,3076,3126">y</WORD>
<WORD coords="1405,3117,1595,3067,3114">otros.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="922,3222,1002,3164,3220">Se</WORD>
<WORD coords="1052,3223,1302,3166,3220">entabló</WORD>
<WORD coords="1335,3223,1412,3165,3222">de</WORD>
<WORD coords="1459,3223,1664,3184,3221">nuevo</WORD>
<WORD coords="1711,3222,1766,3166,3222">el</WORD>
<WORD coords="1817,3226,2000,3182,3222">curso</WORD>
<WORD coords="2064,3226,2467,3164,3223">Matemático</WORD>
<WORD coords="2501,3238,2517,3216,3233">,</WORD>
<WORD coords="2565,3228,2639,3190,3227">en</WORD>
<WORD coords="2682,3228,2733,3173,3227">el</WORD>
<WORD coords="2784,3227,3036,3167,3224">convic-</WORD>
</LINE>
<LINE>
<WORD coords="670,3331,838,3270,3327">torio</WORD>
<WORD coords="901,3329,1260,3267,3328">reformado</WORD>
<WORD coords="1305,3329,1383,3273,3328">de</WORD>
<WORD coords="1437,3329,1558,3272,3328">San</WORD>
<WORD coords="1606,3332,1927,3273,3329">Bernardo</WORD>
<WORD coords="1982,3352,2122,3274,3329">bajo</WORD>
<WORD coords="2181,3332,2251,3297,3331">su</WORD>
<WORD coords="2316,3333,2545,3276,3331">Rector</WORD>
<WORD coords="2611,3334,2718,3280,3333">Dr,</WORD>
<WORD coords="2768,3332,2839,3279,3332">D.</WORD>
<WORD coords="2902,3332,3035,3273,3331">Mi-</WORD>
</LINE>
<LINE>
<WORD coords="668,3456,814,3380,3434">guel</WORD>
<WORD coords="843,3450,1112,3378,3435">Orosco,</WORD>
<WORD coords="1154,3456,1195,3400,3447">y</WORD>
<WORD coords="1250,3438,1314,3398,3436">se</WORD>
<WORD coords="1365,3436,1420,3379,3435">le</WORD>
<WORD coords="1479,3436,1585,3380,3435">dio</WORD>
<WORD coords="1647,3455,1949,3381,3435">principio</WORD>
<WORD coords="2012,3438,2065,3382,3437">el</WORD>
<WORD coords="2120,3438,2194,3388,3437">23</WORD>
<WORD coords="2228,3437,2302,3384,3437">de</WORD>
<WORD coords="2329,3456,2517,3382,3441">Junio</WORD>
<WORD coords="2563,3438,2637,3384,3437">de</WORD>
<WORD coords="2681,3438,2854,3390,3437">1823.</WORD>
<WORD coords="2911,3438,3037,3382,3437">Loa</WORD>
</LINE>
<LINE>
<WORD coords="667,3561,973,3484,3540">primeros</WORD>
<WORD coords="1031,3544,1371,3485,3541">discernios</WORD>
<WORD coords="1406,3555,1422,3531,3555">,</WORD>
<WORD coords="1456,3562,1578,3506,3544">que</WORD>
<WORD coords="1626,3544,1840,3487,3543">dieron</WORD>
<WORD coords="1903,3554,2162,3508,3546">examen</WORD>
<WORD coords="2211,3545,2288,3488,3544">de</WORD>
<WORD coords="2327,3546,2700,3488,3543">Aritmética</WORD>
<WORD coords="2747,3566,2784,3510,3565">y</WORD>
<WORD coords="2845,3565,3036,3491,3543">Alge-</WORD>
</LINE>
<LINE>
<WORD coords="664,3653,779,3589,3648">bra</WORD>
<WORD coords="835,3647,1045,3556,3646">en&apos;í&apos;Stf</WORD>
<WORD coords="1104,3648,1179,3592,3648">ck</WORD>
<WORD coords="1226,3668,1401,3590,3653">Julio</WORD>
<WORD coords="1458,3651,1535,3593,3650">de</WORD>
<WORD coords="1596,3665,1771,3601,3652">1825,</WORD>
<WORD coords="1805,3652,1939,3593,3650">fuer</WORD>
<WORD coords="1985,3652,2020,3614,3652">n</WORD>
<WORD coords="2083,3650,2225,3595,3649">Don</WORD>
<WORD coords="2281,3671,2421,3594,3651">M^g</WORD>
<WORD coords="2443,3650,2518,3596,3649">iel</WORD>
<WORD coords="2569,3668,2810,3596,3652">Lgarte</WORD>
<WORD coords="2836,3665,2851,3642,3659">,</WORD>
<WORD coords="2907,3653,3044,3593,3652">Ma-</WORD>
</LINE>
<LINE>
<WORD coords="678,3756,827,3697,3753">nuel</WORD>
<WORD coords="916,3755,1116,3695,3752">Tetan</WORD>
<WORD coords="1144,3767,1163,3741,3767">,</WORD>
<WORD coords="1209,3788,1430,3698,3769">J^d™</WORD>
<WORD coords="1495,3774,1799,3693,3769">Gik&amp;Báá</WORD>
<WORD coords="1816,3795,2133,3701,3785">&apos;^SZC^&apos;</WORD>
<WORD coords="2190,3781,2248,3701,3781">J</WORD>
<WORD coords="2255,3757,2352,3717,3755">üse</WORD>
<WORD coords="2403,3776,2763,3689,3759">@br$ihd&amp;\</WORD>
<WORD coords="2828,3759,3042,3704,3756">Carlos</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="683,3878,918,3798,3859">Tejada</WORD>
<WORD coords="950,3870,966,3847,3870">,</WORD>
<WORD coords="1025,3881,1186,3801,3865">José</WORD>
<WORD coords="1244,3863,1519,3803,3861">Rolando</WORD>
<WORD coords="1547,3879,1565,3851,3871">,</WORD>
<WORD coords="1628,3864,1821,3807,3863">Pedro</WORD>
<WORD coords="1872,3866,2025,3808,3864">Ledo</WORD>
<WORD coords="2058,3877,2073,3853,3871">,</WORD>
<WORD coords="2133,3865,2397,3809,3863">Antonio</WORD>
<WORD coords="2464,3865,2680,3807,3863">Castro</WORD>
<WORD coords="2703,3879,2719,3854,3879">,</WORD>
<WORD coords="2771,3883,3038,3805,3865">Teiesfa*</WORD>
</LINE>
<LINE>
<WORD coords="671,3967,742,3925,3966">ro</WORD>
<WORD coords="791,3969,1067,3906,3965">Guzman</WORD>
<WORD coords="1103,3973,1121,3948,3973">,</WORD>
<WORD coords="1173,3988,1334,3909,3972">José</WORD>
<WORD coords="1397,3987,1739,3912,3968">Calderón,</WORD>
<WORD coords="1798,3972,2123,3914,3969">Francisco</WORD>
<WORD coords="2190,3985,2468,3913,3970">Molina,</WORD>
<WORD coords="2518,3973,2728,3911,3971">Berna</WORD>
<WORD coords="2770,3968,2840,3912,3967">do</WORD>
<WORD coords="2893,3968,3037,3910,3966">Gal*</WORD>
</LINE>
<LINE>
<WORD coords="667,4076,781,4011,4075">do$</WORD>
<WORD coords="805,4094,825,4056,4094">#</WORD>
<WORD coords="892,4078,1091,4015,4077">Pedro</WORD>
<WORD coords="1152,4081,1542,4013,4077">Montesinos</WORD>
<WORD coords="1572,4097,1595,4061,4097">9</WORD>
<WORD coords="1648,4101,1813,4018,4086">Jo%e</WORD>
<WORD coords="1865,4084,1929,4025,4082">ia</WORD>
<WORD coords="2010,4086,2245,4028,4083">tuetta</WORD>
<WORD coords="2272,4100,2294,4066,4100">9</WORD>
<WORD coords="2349,4085,2601,4020,4081">Manuel</WORD>
<WORD coords="2654,4081,2780,4019,4078">Zea</WORD>
<WORD coords="2811,4096,2830,4061,4096">%</WORD>
<WORD coords="2899,4075,3044,4008,4075">Mh«</WORD>
</LINE>
<LINE>
<WORD coords="650,4196,693,4110,4196">f</WORD>
<WORD coords="741,4180,823,4115,4180">¡a</WORD>
<WORD coords="861,4173,937,4104,4172">de</WORD>
<WORD coords="980,4172,1160,4098,4168">Ort*</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0166.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0167.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0167.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1284,546,1494,452,545">157</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="212,669,357,608,666">nnel</WORD>
<WORD coords="403,683,696,606,663">Campero</WORD>
<WORD coords="725,679,741,653,679">,</WORD>
<WORD coords="789,683,950,606,669">José</WORD>
<WORD coords="1007,662,1270,601,660">Balderr</WORD>
<WORD coords="1277,668,1430,628,661">ama,</WORD>
<WORD coords="1531,664,1607,608,663">El</WORD>
<WORD coords="1664,666,1949,625,664">ecsamen</WORD>
<WORD coords="2013,665,2116,606,664">fje</WORD>
<WORD coords="2177,669,2312,624,667">ante</WORD>
<WORD coords="2368,672,2420,614,671">el</WORD>
<WORD coords="2468,675,2577,616,674">Se-</WORD>
</LINE>
<LINE>
<WORD coords="215,773,256,720,771">ñ</WORD>
<WORD coords="307,769,332,735,769">r</WORD>
<WORD coords="398,770,681,712,768">Prefecto</WORD>
<WORD coords="740,769,840,713,768">del</WORD>
<WORD coords="922,781,1452,713,766">Departamento,</WORD>
<WORD coords="1507,771,1705,717,769">actual</WORD>
<WORD coords="1787,770,2148,714,769">Presidente</WORD>
<WORD coords="2200,775,2275,721,774">de</WORD>
<WORD coords="2336,779,2389,722,778">la</WORD>
<WORD coords="2451,782,2519,726,782">R.</WORD>
<WORD coords="2545,780,2578,754,780">•</WORD>
</LINE>
<LINE>
<WORD coords="223,898,466,821,875">pública</WORD>
<WORD coords="501,890,515,864,882">,</WORD>
<WORD coords="542,875,764,818,874">siendo</WORD>
<WORD coords="810,875,1283,816,872">examinadores</WORD>
<WORD coords="1343,874,1423,816,873">D.</WORD>
<WORD coords="1489,893,1642,816,883">Jo^é</WORD>
<WORD coords="1698,878,1933,819,876">Matías</WORD>
<WORD coords="1985,877,2157,817,876">León</WORD>
<WORD coords="2191,895,2207,866,895">,</WORD>
<WORD coords="2232,901,2274,841,894">y</WORD>
<WORD coords="2320,887,2503,831,885">much</WORD>
<WORD coords="2530,892,2578,853,887">&gt;«</WORD>
</LINE>
<LINE>
<WORD coords="225,986,547,927,982">Militares</WORD>
<WORD coords="596,1001,1010,926,980">inteligentes.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="477,1088,596,1034,1087">Por</WORD>
<WORD coords="650,1089,709,1035,1088">el</WORD>
<WORD coords="765,1090,1050,1051,1089">ecsamen</WORD>
<WORD coords="1097,1087,1174,1030,1086">de</WORD>
<WORD coords="1224,1090,1586,1028,1088">Geometría</WORD>
<WORD coords="1647,1091,1968,1032,1089">elemental</WORD>
<WORD coords="2000,1107,2018,1079,1107">,</WORD>
<WORD coords="2071,1115,2579,1035,1095">Trigonometría</WORD>
</LINE>
<LINE>
<WORD coords="213,1201,529,1140,1197">rectilínea</WORD>
<WORD coords="588,1217,626,1161,1207">y</WORD>
<WORD coords="709,1198,1033,1138,1195">Geomttri</WORD>
<WORD coords="1064,1194,1096,1159,1194">a</WORD>
<WORD coords="1161,1213,1426,1143,1194">practica</WORD>
<WORD coords="1475,1198,1637,1143,1197">dado</WORD>
<WORD coords="1691,1198,1765,1162,1198">en</WORD>
<WORD coords="1813,1202,1889,1153,1201">25</WORD>
<WORD coords="1938,1201,2012,1144,1201">de</WORD>
<WORD coords="2058,1222,2225,1145,1204">Julio</WORD>
<WORD coords="2265,1202,2343,1146,1201">de</WORD>
<WORD coords="2397,1222,2577,1154,1207">1826,</WORD>
</LINE>
<LINE>
<WORD coords="217,1307,490,1249,1304">llevaron</WORD>
<WORD coords="548,1305,604,1249,1305">el</WORD>
<WORD coords="667,1323,905,1248,1303">premio</WORD>
<WORD coords="962,1303,1040,1247,1303">de</WORD>
<WORD coords="1089,1304,1206,1265,1302">una</WORD>
<WORD coords="1256,1303,1522,1247,1301">medalla</WORD>
<WORD coords="1573,1306,1650,1250,1305">de</WORD>
<WORD coords="1709,1306,1820,1269,1305">oro</WORD>
<WORD coords="1854,1323,1871,1297,1323">,</WORD>
<WORD coords="1902,1327,2020,1273,1309">que</WORD>
<WORD coords="2075,1310,2236,1252,1308">tenia</WORD>
<WORD coords="2281,1310,2352,1275,1309">en</WORD>
<WORD coords="2382,1310,2437,1256,1309">el</WORD>
<WORD coords="2472,1312,2577,1275,1310">an-</WORD>
</LINE>
<LINE>
<WORD coords="220,1415,402,1378,1412">verso</WORD>
<WORD coords="463,1413,592,1370,1412">esta</WORD>
<WORD coords="646,1429,1022,1356,1411">inscripción</WORD>
<WORD coords="1086,1414,1322,1357,1410">Premio</WORD>
<WORD coords="1372,1431,1409,1375,1422">y</WORD>
<WORD coords="1456,1410,1509,1358,1410">al</WORD>
<WORD coords="1573,1429,1670,1378,1412">pie</WORD>
<WORD coords="1729,1416,1807,1379,1416">un</WORD>
<WORD coords="1853,1433,2114,1378,1416">compaz</WORD>
<WORD coords="2165,1417,2401,1360,1415">abierto</WORD>
<WORD coords="2436,1431,2451,1405,1424">,</WORD>
<WORD coords="2484,1418,2577,1360,1416">loa</WORD>
</LINE>
<LINE>
<WORD coords="212,1541,553,1468,1520">siguientes</WORD>
<WORD coords="584,1518,601,1479,1518">i</WORD>
<WORD coords="646,1521,782,1465,1521">Don</WORD>
<WORD coords="844,1520,1040,1463,1518">Pedro</WORD>
<WORD coords="1100,1527,1394,1462,1519">Celestino</WORD>
<WORD coords="1451,1524,1670,1460,1521">Ftorez</WORD>
<WORD coords="1699,1533,1714,1512,1533">,</WORD>
<WORD coords="1781,1544,1942,1465,1529">José</WORD>
<WORD coords="1992,1524,2110,1467,1524">La-</WORD>
<WORD coords="2129,1523,2355,1470,1521">Puerta</WORD>
<WORD coords="2387,1536,2405,1512,1529">,</WORD>
<WORD coords="2442,1523,2564,1466,1522">Mi»</WORD>
</LINE>
<LINE>
<WORD coords="203,1651,356,1575,1628">guel</WORD>
<WORD coords="407,1647,647,1574,1626">ligarte</WORD>
<WORD coords="680,1642,698,1615,1642">%</WORD>
<WORD coords="742,1650,1227,1550,1629">Joie**8loÍando</WORD>
<WORD coords="1263,1637,1277,1616,1632">,</WORD>
<WORD coords="1352,1625,1605,1562,1624">Manuel</WORD>
<WORD coords="1669,1628,1793,1557,1626">&quot;Zea</WORD>
<WORD coords="1822,1643,1841,1616,1643">%</WORD>
<WORD coords="1919,1629,2112,1573,1628">Pedro</WORD>
<WORD coords="2168,1633,2576,1573,1629">Montesinos.</WORD>
</LINE>
<LINE>
<WORD coords="218,1739,295,1680,1737">hA</WORD>
<WORD coords="361,1735,581,1679,1734">ultimo</WORD>
<WORD coords="646,1735,932,1695,1733">ecsamen</WORD>
<WORD coords="982,1733,1060,1680,1733">de</WORD>
<WORD coords="1115,1755,1628,1672,1731">Trigonometría</WORD>
<WORD coords="1685,1732,1715,1699,1732">e</WORD>
<WORD coords="1755,1736,1944,1675,1734">fcrica</WORD>
<WORD coords="1975,1750,1993,1723,1750">,</WORD>
<WORD coords="2058,1753,2423,1678,1735">Aplicación</WORD>
<WORD coords="2477,1738,2582,1682,1737">del</WORD>
</LINE>
<LINE>
<WORD coords="216,1864,494,1786,1842">Algebra</WORD>
<WORD coords="557,1842,585,1790,1842">á</WORD>
<WORD coords="657,1841,711,1786,1841">la</WORD>
<WORD coords="791,1844,1154,1781,1841">Geometría</WORD>
<WORD coords="1280,1842,1305,1797,1842">t</WORD>
<WORD coords="1341,1841,1408,1805,1841">es</WORD>
<WORD coords="1480,1842,1796,1787,1841">secciones</WORD>
<WORD coords="1844,1844,2091,1788,1842">cdaicas</WORD>
<WORD coords="2146,1864,2182,1808,1864">y</WORD>
<WORD coords="2239,1865,2581,1786,1844">Geograf.&apos;a</WORD>
</LINE>
<LINE>
<WORD coords="210,1950,286,1910,1949">en</WORD>
<WORD coords="343,1949,446,1913,1948">sus</WORD>
<WORD coords="493,1948,617,1903,1947">tres</WORD>
<WORD coords="665,1966,865,1906,1947">partes</WORD>
<WORD coords="888,1964,905,1935,1951">,</WORD>
<WORD coords="932,1951,1036,1889,1948">fae</WORD>
<WORD coords="1095,1948,1150,1892,1947">el</WORD>
<WORD coords="1200,1950,1233,1896,1949">7</WORD>
<WORD coords="1286,1948,1362,1892,1948">de</WORD>
<WORD coords="1407,1949,1759,1893,1947">Diciembre</WORD>
<WORD coords="1814,1951,1890,1895,1950">de</WORD>
<WORD coords="1951,1950,2127,1898,1950">1826.</WORD>
<WORD coords="2184,1952,2383,1895,1950">Abrió</WORD>
<WORD coords="2427,1951,2566,1908,1950">otro</WORD>
</LINE>
<LINE>
<WORD coords="210,2055,400,2017,2054">curso</WORD>
<WORD coords="461,2055,879,1998,2053">Matemático</WORD>
<WORD coords="953,2055,1013,2000,2054">el</WORD>
<WORD coords="1086,2054,1312,1997,2053">mismo</WORD>
<WORD coords="1366,2055,1766,1997,2053">Catedrático</WORD>
<WORD coords="1797,2069,1814,2044,2069">,</WORD>
<WORD coords="1863,2078,1903,2019,2068">y</WORD>
<WORD coords="1963,2058,2044,2020,2057">un</WORD>
<WORD coords="2115,2074,2364,2013,2055">pasante</WORD>
<WORD coords="2432,2059,2577,2002,2057">Don</WORD>
</LINE>
<LINE>
<WORD coords="215,2182,476,2105,2161">¿Miguel</WORD>
<WORD coords="541,2182,780,2105,2161">Ligarte</WORD>
<WORD coords="855,2163,1011,2108,2162">daba</WORD>
<WORD coords="1081,2161,1169,2106,2159">las</WORD>
<WORD coords="1246,2162,1557,2105,2161">lecciones</WORD>
<WORD coords="1628,2162,1706,2107,2162">de</WORD>
<WORD coords="1785,2165,2168,2107,2163">Aritmética</WORD>
<WORD coords="2201,2179,2219,2150,2172">,</WORD>
<WORD coords="2291,2165,2581,2109,2163">mientras</WORD>
</LINE>
<LINE>
<WORD coords="214,2286,395,2214,2267">aquel</WORD>
<WORD coords="436,2269,772,2212,2267">-enseñaba</WORD>
<WORD coords="831,2267,887,2211,2267">la</WORD>
<WORD coords="963,2282,1338,2211,2266">Mecánica,</WORD>
<WORD coords="1389,2287,1547,2231,2266">cuyo</WORD>
<WORD coords="1606,2269,1865,2230,2267">examen</WORD>
<WORD coords="1910,2270,1975,2233,2269">se</WORD>
<WORD coords="2022,2269,2128,2213,2268">dio</WORD>
<WORD coords="2175,2270,2248,2233,2269">en</WORD>
<WORD coords="2304,2272,2584,2212,2270">Octubre</WORD>
</LINE>
<LINE>
<WORD coords="210,2374,290,2320,2373">de</WORD>
<WORD coords="351,2376,504,2325,2375">1827</WORD>
<WORD coords="535,2389,550,2364,2389">,</WORD>
<WORD coords="604,2394,636,2339,2385">y</WORD>
<WORD coords="700,2375,756,2319,2373">el</WORD>
<WORD coords="824,2375,1044,2319,2373">ultimo</WORD>
<WORD coords="1093,2373,1168,2321,2373">de</WORD>
<WORD coords="1232,2395,1574,2317,2373">Geografía</WORD>
<WORD coords="1651,2391,1769,2338,2376">que</WORD>
<WORD coords="1829,2396,2209,2321,2376">completaba</WORD>
<WORD coords="2271,2377,2325,2322,2377">el</WORD>
<WORD coords="2400,2379,2585,2339,2376">curso</WORD>
</LINE>
<LINE>
<WORD coords="219,2484,490,2423,2480">iniciado</WORD>
<WORD coords="516,2495,532,2468,2482">,</WORD>
<WORD coords="565,2481,616,2427,2480">el</WORD>
<WORD coords="680,2481,713,2431,2481">3</WORD>
<WORD coords="779,2482,856,2426,2482">de</WORD>
<WORD coords="922,2483,1199,2428,2480">Octubre</WORD>
<WORD coords="1262,2482,1338,2428,2481">de</WORD>
<WORD coords="1414,2487,1615,2430,2483">1829-</WORD>
<WORD coords="1682,2483,1760,2427,2482">Se</WORD>
<WORD coords="1809,2503,1961,2447,2483">puso</WORD>
<WORD coords="2020,2486,2094,2448,2484">en</WORD>
<WORD coords="2146,2484,2359,2447,2483">receso</WORD>
<WORD coords="2434,2486,2569,2439,2484">esta</WORD>
</LINE>
<LINE>
<WORD coords="210,2587,389,2533,2585">noble</WORD>
<WORD coords="444,2590,680,2532,2586">ciencia</WORD>
<WORD coords="720,2604,737,2576,2596">,</WORD>
<WORD coords="792,2589,1011,2534,2587">siendo</WORD>
<WORD coords="1063,2589,1150,2537,2589">Re</WORD>
<WORD coords="1193,2589,1290,2546,2588">tor</WORD>
<WORD coords="1347,2591,1399,2536,2590">el</WORD>
<WORD coords="1465,2592,1631,2536,2591">Cura</WORD>
<WORD coords="1692,2591,1771,2533,2590">D.</WORD>
<WORD coords="1828,2593,1908,2534,2591">D.</WORD>
<WORD coords="1972,2591,2187,2534,2589">Carlos</WORD>
<WORD coords="2245,2609,2570,2533,2588">Gallegos,</WORD>
</LINE>
<LINE>
<WORD coords="206,2696,385,2635,2693">hasta</WORD>
<WORD coords="450,2694,504,2640,2694">el</WORD>
<WORD coords="560,2694,596,2644,2695">9</WORD>
<WORD coords="651,2695,727,2640,2694">de</WORD>
<WORD coords="788,2718,988,2640,2695">Mayo</WORD>
<WORD coords="1050,2697,1126,2641,2697">de</WORD>
<WORD coords="1193,2699,1341,2648,2697">1831</WORD>
<WORD coords="1383,2710,1399,2686,2704">,</WORD>
<WORD coords="1446,2698,1522,2663,2698">en</WORD>
<WORD coords="1583,2715,1703,2661,2698">que</WORD>
<WORD coords="1763,2717,1876,2661,2698">por</WORD>
<WORD coords="1940,2701,2135,2642,2699">orden</WORD>
<WORD coords="2201,2697,2302,2639,2695">del</WORD>
<WORD coords="2378,2698,2582,2640,2696">Señor</WORD>
</LINE>
<LINE>
<WORD coords="208,2802,575,2744,2800">Presidente</WORD>
<WORD coords="595,2802,613,2782,2802">•</WORD>
<WORD coords="634,2804,866,2749,2802">Gamar</WORD>
<WORD coords="873,2805,939,2766,2805">ra</WORD>
<WORD coords="958,2822,1012,2785,2822">v</WORD>
<WORD coords="1040,2804,1110,2769,2803">se</WORD>
<WORD coords="1171,2804,1381,2749,2803">volvió</WORD>
<WORD coords="1442,2805,1469,2751,2805">á</WORD>
<WORD coords="1524,2806,1870,2749,2803">cultivarla.</WORD>
<WORD coords="1968,2805,2379,2748,2803">Precedieren</WORD>
<WORD coords="2433,2821,2582,2768,2801">opo.</WORD>
</LINE>
<LINE>
<WORD coords="206,2910,475,2853,2907">siciones</WORD>
<WORD coords="517,2921,530,2899,2921">,</WORD>
<WORD coords="586,2929,622,2874,2926">y</WORD>
<WORD coords="670,2924,816,2856,2908">optó</WORD>
<WORD coords="869,2910,921,2857,2909">la</WORD>
<WORD coords="972,2911,1234,2856,2910">Cátedra</WORD>
<WORD coords="1293,2913,1348,2860,2912">el</WORD>
<WORD coords="1404,2911,1479,2856,2911">D.</WORD>
<WORD coords="1556,2911,1631,2857,2911">D.</WORD>
<WORD coords="1698,2912,1899,2856,2910">Pedro</WORD>
<WORD coords="1948,2914,2265,2856,2911">Celestino</WORD>
<WORD coords="2341,2919,2578,2852,2911">Flore»</WORD>
</LINE>
<LINE>
<WORD coords="207,3035,583,2950,3015">que^aMcTtía!</WORD>
<WORD coords="598,3020,799,2976,3016">mente</WORD>
<WORD coords="862,3017,908,2964,3016">la</WORD>
<WORD coords="957,3039,1329,2963,3017">desempaña</WORD>
<WORD coords="1391,3017,1500,2985,3017">cío</WORD>
<WORD coords="1555,3021,1943,2962,3017">contracción</WORD>
<WORD coords="1992,3041,2028,2983,3037">y</WORD>
<WORD coords="2089,3033,2362,2965,3017">apierno.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="461,3129,602,3069,3123">Prr;</WORD>
<WORD coords="650,3125,746,3074,3124">95,</WORD>
<WORD coords="841,3126,1018,3066,3125">Nota.</WORD>
<WORD coords="1078,3128,1154,3071,3127">El</WORD>
<WORD coords="1201,3147,1363,3079,3125">peso&quot;</WORD>
<WORD coords="1395,3127,1494,3071,3126">du^</WORD>
<WORD coords="1515,3128,1542,3090,3128">o</WORD>
<WORD coords="1615,3128,1747,3074,3127">vale</WORD>
<WORD coords="2006,3128,2086,3089,3127">un</WORD>
<WORD coords="2155,3129,2287,3071,3127">real</WORD>
<WORD coords="2333,3127,2403,3068,3127">de</WORD>
<WORD coords="2438,3152,2577,3070,3130">pía*</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="196,3230,266,3181,3229">ta</WORD>
<WORD coords="321,3230,416,3174,3229">del</WORD>
<WORD coords="461,3230,619,3174,3229">Perú</WORD>
<WORD coords="664,3232,795,3176,3231">vale</WORD>
<WORD coords="842,3236,916,3185,3234">85</WORD>
<WORD coords="981,3233,1109,3197,3231">mar</WORD>
<WORD coords="1118,3235,1225,3198,3234">ave</WORD>
<WORD coords="1245,3237,1414,3199,3234">uses.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="457,3337,550,3282,3337">En</WORD>
<WORD coords="602,3339,687,3285,3337">las</WORD>
<WORD coords="735,3342,985,3298,3340">cuentas</WORD>
<WORD coords="1055,3357,1171,3306,3342">que</WORD>
<WORD coords="1226,3344,1465,3285,3343">forman</WORD>
<WORD coords="1521,3344,1608,3289,3343">los</WORD>
<WORD coords="1655,3345,2040,3285,3344">Contadores</WORD>
<WORD coords="2096,3342,2173,3285,3342">de</WORD>
<WORD coords="2248,3346,2575,3286,3343">Hacienda</WORD>
</LINE>
<LINE>
<WORD coords="204,3447,512,3385,3444">Nacional</WORD>
<WORD coords="545,3460,560,3435,3454">,</WORD>
<WORD coords="606,3447,861,3389,3445">dividen</WORD>
<WORD coords="917,3448,971,3392,3447">al</WORD>
<WORD coords="1033,3450,1158,3395,3449">real</WORD>
<WORD coords="1212,3451,1289,3395,3450">de</WORD>
<WORD coords="1348,3470,1509,3397,3450">plata</WORD>
<WORD coords="1564,3451,1816,3407,3449">nuestro</WORD>
<WORD coords="1865,3453,1938,3416,3452">en</WORD>
<WORD coords="1985,3451,2064,3401,3450">34</WORD>
<WORD coords="2120,3467,2571,3398,3451">maravedises,</WORD>
</LINE>
<LINE>
<WORD coords="202,3555,295,3496,3553">los</WORD>
<WORD coords="350,3554,607,3499,3553">mismos</WORD>
<WORD coords="661,3573,778,3519,3554">que</WORD>
<WORD coords="850,3560,1012,3500,3556">tiene</WORD>
<WORD coords="1061,3559,1115,3503,3558">el</WORD>
<WORD coords="1169,3559,1293,3504,3558">real</WORD>
<WORD coords="1336,3560,1411,3502,3559">de</WORD>
<WORD coords="1469,3559,1666,3505,3557">vellón</WORD>
<WORD coords="1693,3573,1709,3524,3573">;</WORD>
<WORD coords="1774,3577,1917,3521,3558">pero</WORD>
<WORD coords="1965,3559,2039,3521,3559">en</WORD>
<WORD coords="2095,3558,2223,3514,3556">este</WORD>
<WORD coords="2276,3558,2418,3522,3557">caso</WORD>
<WORD coords="2479,3557,2572,3503,3555">los</WORD>
</LINE>
<LINE>
<WORD coords="199,3662,628,3605,3660">maravedises</WORD>
<WORD coords="676,3663,785,3607,3662">del</WORD>
<WORD coords="834,3665,961,3610,3663">real</WORD>
<WORD coords="1013,3669,1121,3610,3667">del</WORD>
<WORD coords="1169,3668,1334,3609,3665">Perú</WORD>
<WORD coords="1390,3667,1588,3611,3666">deben</WORD>
<WORD coords="1646,3668,1745,3629,3666">ser</WORD>
<WORD coords="1825,3686,2105,3629,3665">mayores</WORD>
<WORD coords="2155,3686,2274,3630,3666">que</WORD>
<WORD coords="2334,3662,2419,3611,3661">los</WORD>
<WORD coords="2473,3666,2576,3608,3663">del</WORD>
</LINE>
<LINE>
<WORD coords="200,3767,325,3713,3766">real</WORD>
<WORD coords="392,3769,466,3710,3767">de</WORD>
<WORD coords="532,3770,780,3711,3765">Vellón.</WORD>
<WORD coords="877,3772,965,3715,3771">La</WORD>
<WORD coords="1020,3793,1152,3714,3772">Ley</WORD>
<WORD coords="1224,3774,1281,3723,3772">4.</WORD>
<WORD coords="1311,3754,1346,3722,3762">*</WORD>
<WORD coords="1425,3773,1500,3717,3772">de</WORD>
<WORD coords="1559,3774,1609,3718,3773">la</WORD>
<WORD coords="1688,3790,2126,3716,3772">Recopilación</WORD>
<WORD coords="2201,3774,2278,3719,3773">de</WORD>
<WORD coords="2339,3798,2579,3704,3769">tntiias^</WORD>
</LINE>
<LINE>
<WORD coords="202,3871,398,3811,3869">Libro</WORD>
<WORD coords="444,3874,484,3822,3875">4</WORD>
<WORD coords="509,3885,523,3863,3881">,</WORD>
<WORD coords="556,3877,737,3817,3874">título</WORD>
<WORD coords="779,3877,859,3826,3877">24</WORD>
<WORD coords="889,3894,904,3867,3886">,</WORD>
<WORD coords="946,3879,1085,3822,3878">dice</WORD>
<WORD coords="1121,3880,1135,3844,3880">:</WORD>
<WORD coords="1199,3880,1573,3822,3878">Ordenamos</WORD>
<WORD coords="1607,3889,1622,3869,3889">,</WORD>
<WORD coords="1674,3903,1787,3842,3879">que</WORD>
<WORD coords="1833,3879,1890,3823,3879">el</WORD>
<WORD coords="1943,3882,2076,3825,3880">real</WORD>
<WORD coords="2123,3879,2194,3825,3878">de</WORD>
<WORD coords="2247,3887,2408,3821,3876">plata</WORD>
<WORD coords="2454,3897,2566,3836,3872">que</WORD>
</LINE>
<LINE>
<WORD coords="201,3975,267,3938,3974">se</WORD>
<WORD coords="325,3980,548,3922,3978">llevare</WORD>
<WORD coords="600,3982,672,3927,3982">de</WORD>
<WORD coords="724,3987,883,3936,3983">estos</WORD>
<WORD coords="956,4004,1198,3930,3984">Reynos</WORD>
<WORD coords="1255,3985,1325,3930,3985">de</WORD>
<WORD coords="1377,3988,1631,3931,3985">Castilla</WORD>
<WORD coords="1689,3987,1719,3951,3987">o</WORD>
<WORD coords="1774,3989,2017,3931,3987">labrare</WORD>
<WORD coords="2073,3989,2143,3952,3988">en</WORD>
<WORD coords="2203,3986,2289,3928,3983">hs</WORD>
<WORD coords="2348,3980,2416,3927,3979">de</WORD>
<WORD coords="2476,3979,2568,3927,3978">las</WORD>
</LINE>
<LINE>
<WORD coords="204,4103,466,4017,4082">Indias^</WORD>
<WORD coords="516,4109,705,4032,4087">valga</WORD>
<WORD coords="755,4092,830,4052,4090">e/i</WORD>
<WORD coords="873,4093,1021,4045,4091">eda*</WORD>
<WORD coords="1082,4093,1161,4042,4092">34</WORD>
<WORD coords="1215,4098,1560,4030,4094">maravedí*</WORD>
<WORD coords="1603,4116,1645,4057,4108">y</WORD>
<WORD coords="1703,4100,1776,4057,4099">no</WORD>
<WORD coords="1832,4099,1958,4058,4098">mas</WORD>
<WORD coords="1990,4116,2008,4082,4116">f</WORD>
<WORD coords="2067,4096,2180,4059,4095">aue</WORD>
<WORD coords="2234,4091,2436,4038,4090">tienen</WORD>
<WORD coords="2504,4088,2574,4034,4087">de</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0167.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0168.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0168.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="654,743,783,682,720">gun</WORD>
<WORD coords="842,723,971,676,721">e*ta</WORD>
<WORD coords="1015,744,1112,668,722">ley</WORD>
<WORD coords="1151,752,1169,707,752">g</WORD>
<WORD coords="1199,727,1253,673,727">e!</WORD>
<WORD coords="1311,728,1438,672,727">real</WORD>
<WORD coords="1480,729,1557,671,728">de</WORD>
<WORD coords="1610,749,1770,674,730">plata</WORD>
<WORD coords="1802,745,1818,719,745">,</WORD>
<WORD coords="1850,752,1970,696,734">que</WORD>
<WORD coords="2032,736,2164,678,734">vale</WORD>
<WORD coords="2218,736,2294,698,736">tn</WORD>
<WORD coords="2350,739,2563,679,737">indias</WORD>
<WORD coords="2612,740,2692,687,739">34</WORD>
<WORD coords="2727,746,3006,701,743">maravc-</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1710,508,1924,414,506">158</WORD>
<WORD coords="1956,504,1982,426,504">1</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="660,633,759,555,614">ley</WORD>
<WORD coords="805,636,849,577,630">y</WORD>
<WORD coords="902,618,1076,557,616">valor</WORD>
<WORD coords="1108,636,1125,603,636">,</WORD>
<WORD coords="1153,641,1346,580,619">según</WORD>
<WORD coords="1401,642,1443,584,633">y</WORD>
<WORD coords="1486,624,1645,583,623">como</WORD>
<WORD coords="1705,626,1838,569,625">vale</WORD>
<WORD coords="1880,626,1952,589,626">en</WORD>
<WORD coords="1980,629,2138,579,627">estos</WORD>
<WORD coords="2185,648,2407,587,627">teynos</WORD>
<WORD coords="2460,633,2534,572,631">de</WORD>
<WORD coords="2567,635,2842,572,632">Castilla.</WORD>
</LINE>
<LINE>
<WORD coords="654,743,783,682,720">gun</WORD>
<WORD coords="842,723,971,676,721">e*ta</WORD>
<WORD coords="1015,744,1112,668,722">ley</WORD>
<WORD coords="1151,748,1169,713,748">?</WORD>
<WORD coords="1199,727,1253,673,727">e!</WORD>
<WORD coords="1311,728,1438,672,727">real</WORD>
<WORD coords="1480,729,1558,671,728">de</WORD>
<WORD coords="1609,749,1770,674,730">plata</WORD>
<WORD coords="1802,745,1819,719,745">,</WORD>
<WORD coords="1850,752,1970,696,734">que</WORD>
<WORD coords="2032,736,2164,678,735">vale</WORD>
<WORD coords="2218,736,2294,698,736">tn</WORD>
<WORD coords="2350,739,2563,679,737">indias</WORD>
<WORD coords="2612,740,2692,687,739">34</WORD>
<WORD coords="2727,744,2885,701,742">mará</WORD>
</LINE>
<LINE>
<WORD coords="648,828,752,768,827">dis</WORD>
<WORD coords="784,848,804,812,842">,</WORD>
<WORD coords="844,832,926,769,831">ha</WORD>
<WORD coords="981,832,1060,772,832">de</WORD>
<WORD coords="1108,833,1207,794,832">ser</WORD>
<WORD coords="1253,834,1526,775,833">idéntico</WORD>
<WORD coords="1568,837,1627,780,837">al</WORD>
<WORD coords="1678,839,1756,781,838">de</WORD>
<WORD coords="1805,843,2085,782,840">Castilla.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1618,1022,2053,961,1020">ADICION.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="812,1143,911,1083,1143">En</WORD>
<WORD coords="967,1142,1025,1085,1140">la</WORD>
<WORD coords="1073,1167,1213,1106,1142">pag.</WORD>
<WORD coords="1280,1146,1335,1096,1146">2.</WORD>
<WORD coords="1361,1125,1400,1091,1138">«</WORD>
<WORD coords="1440,1148,1473,1091,1150">á</WORD>
<WORD coords="1537,1148,1593,1089,1147">la</WORD>
<WORD coords="1640,1151,1798,1093,1149">linea</WORD>
<WORD coords="1865,1152,1922,1103,1146">5.</WORD>
<WORD coords="1949,1135,1988,1100,1152">«</WORD>
<WORD coords="2073,1155,2369,1098,1155">Añádase</WORD>
<WORD coords="2419,1158,2547,1111,1157">esta</WORD>
<WORD coords="2609,1161,2886,1101,1159">definicic</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="648,1249,960,1183,1246">Cantidad</WORD>
<WORD coords="1018,1252,1307,1198,1251">continua</WORD>
<WORD coords="1366,1253,1427,1217,1252">es</WORD>
<WORD coords="1480,1256,1537,1201,1255">la</WORD>
<WORD coords="1582,1280,1694,1219,1256">que</WORD>
<WORD coords="1758,1260,1915,1204,1258">tiene</WORD>
<WORD coords="1980,1261,2084,1223,1260">sus</WORD>
<WORD coords="2134,1283,2349,1215,1261">partes</WORD>
<WORD coords="2412,1268,2739,1210,1265">enlazadas</WORD>
<WORD coords="2813,1267,2885,1229,1266">en</WORD>
</LINE>
<LINE>
<WORD coords="640,1357,922,1300,1354">realidad</WORD>
<WORD coords="948,1373,966,1344,1373">9</WORD>
<WORD coords="1024,1362,1054,1324,1362">o</WORD>
<WORD coords="1108,1360,1178,1322,1359">en</WORD>
<WORD coords="1259,1362,1508,1315,1360">nuestro</WORD>
<WORD coords="1592,1366,1756,1310,1364">modo</WORD>
<WORD coords="1830,1368,1900,1310,1367">de</WORD>
<WORD coords="1976,1368,2247,1311,1366">concebir</WORD>
<WORD coords="2270,1383,2284,1335,1378">;</WORD>
<WORD coords="2333,1373,2419,1315,1371">así</WORD>
<WORD coords="2470,1372,2534,1335,1371">es</WORD>
<WORD coords="2583,1373,2700,1335,1372">una</WORD>
<WORD coords="2762,1393,2886,1337,1373">pan</WORD>
</LINE>
<LINE>
<WORD coords="639,1482,829,1425,1463">c»yas</WORD>
<WORD coords="907,1485,1150,1410,1466">piedras</WORD>
<WORD coords="1223,1468,1394,1425,1467">están</WORD>
<WORD coords="1454,1471,1736,1414,1469">trabadas</WORD>
<WORD coords="1845,1477,2183,1419,1474">realmente</WORD>
<WORD coords="2219,1486,2235,1445,1482">;</WORD>
<WORD coords="2286,1479,2364,1442,1478">un</WORD>
<WORD coords="2435,1483,2700,1423,1479">batallón</WORD>
<WORD coords="2740,1500,2759,1472,1492">,</WORD>
<WORD coords="2811,1484,2885,1441,1483">cu</WORD>
</LINE>
<LINE>
<WORD coords="638,1573,934,1515,1570">soldados</WORD>
<WORD coords="970,1571,1007,1521,1571">U</WORD>
<WORD coords="1029,1572,1056,1537,1572">s</WORD>
<WORD coords="1117,1577,1580,1519,1574">consideramos</WORD>
<WORD coords="1634,1581,1814,1543,1579">como</WORD>
<WORD coords="1859,1586,2170,1527,1582">trabados.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1400,1948,2252,1804,1945">INDICE.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="636,2068,1026,2007,2066">PROEMIO</WORD>
<WORD coords="1578,2072,1596,1990,2075">[</WORD>
<WORD coords="2584,2094,2718,2018,2075">Pag.</WORD>
<WORD coords="2767,2077,2873,2016,2075">IV,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="636,2172,1110,2114,2169">Introducción...</WORD>
<WORD coords="1137,2170,1154,2156,2170">.</WORD>
<WORD coords="1176,2170,1191,2157,2171">.</WORD>
<WORD coords="1216,2171,1234,2153,2178">*</WORD>
<WORD coords="2802,2183,2825,2127,2184">1</WORD>
<WORD coords="2839,2186,2855,2169,0">.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="640,2273,808,2219,2272">Voces</WORD>
<WORD coords="849,2291,881,2239,2290">y</WORD>
<WORD coords="927,2290,1128,2222,2271">signos</WORD>
<WORD coords="1169,2293,1271,2239,2273">que</WORD>
<WORD coords="1315,2275,1457,2237,2274">usan</WORD>
<WORD coords="1507,2276,1592,2220,2275">ios</WORD>
<WORD coords="1627,2278,2016,2220,2276">Matemáticos</WORD>
<WORD coords="2793,2288,2850,2232,2286">2.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="631,2393,938,2321,2374">EspresHon</WORD>
<WORD coords="984,2377,1017,2325,2377">ó</WORD>
<WORD coords="1073,2377,1426,2326,2375">numeración</WORD>
<WORD coords="2781,2389,2837,2336,2389">5.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="636,2480,876,2426,2478">Sistema</WORD>
<WORD coords="921,2498,1230,2427,2477">septenario</WORD>
<WORD coords="1254,2476,1286,2427,2477">ó</WORD>
<WORD coords="1315,2480,1544,2444,2479">romano</WORD>
<WORD coords="2751,2489,2839,2431,2488">10.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="634,2601,998,2528,2583">Diferencias</WORD>
<WORD coords="1028,2581,1095,2527,2581">de</WORD>
<WORD coords="1150,2582,1229,2526,2581">los</WORD>
<WORD coords="1282,2586,1545,2547,2583">números</WORD>
<WORD coords="2754,2593,2841,2539,2588">II,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="636,2709,963,2633,2687">Operación</WORD>
<WORD coords="1017,2687,1080,2634,2687">de</WORD>
<WORD coords="1125,2688,1318,2652,2688">sumar</WORD>
<WORD coords="1371,2689,1405,2637,2689">ó</WORD>
<WORD coords="1454,2689,1679,2635,2688">adición</WORD>
<WORD coords="2746,2692,2838,2638,2690">12.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="627,2809,950,2735,2790">Operación</WORD>
<WORD coords="994,2790,1064,2736,2790">de</WORD>
<WORD coords="1118,2810,1471,2737,2789">multiplicar</WORD>
<WORD coords="1524,2792,1558,2741,2792">ó</WORD>
<WORD coords="1599,2812,2134,2738,2790">tnultiplicacion....</WORD>
<WORD coords="2161,2793,2176,2776,2797">.</WORD>
<WORD coords="2755,2794,2843,2736,2793">15.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="622,2913,944,2838,2893">Operación</WORD>
<WORD coords="994,2895,1058,2841,2895">de</WORD>
<WORD coords="1096,2895,1285,2847,2893">restar</WORD>
<WORD coords="1326,2894,1360,2842,2894">ó</WORD>
<WORD coords="1407,2895,1762,2847,2892">sustracción</WORD>
<WORD coords="2746,2899,2841,2841,2896">23.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="622,3015,942,2941,2996">Operación</WORD>
<WORD coords="996,2998,1060,2944,2997">de</WORD>
<WORD coords="1105,2996,1326,2943,2995">dividir</WORD>
<WORD coords="1380,2999,1414,2946,2998">ó</WORD>
<WORD coords="1462,2998,1709,2943,2996">división</WORD>
<WORD coords="2743,3002,2840,2944,3000">26.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="616,3101,992,3045,3098">Abreviación</WORD>
<WORD coords="1032,3104,1132,3045,3102">del</WORD>
<WORD coords="1165,3102,1411,3046,3100">dividir.</WORD>
<WORD coords="1893,3081,1902,3059,3092">&apos;</WORD>
<WORD coords="2737,3108,2838,3047,3104">36,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="621,3207,763,3151,3206">Usos</WORD>
<WORD coords="811,3208,878,3154,3207">de</WORD>
<WORD coords="923,3208,980,3153,3207">la</WORD>
<WORD coords="1025,3212,1335,3154,3207">división.,.</WORD>
<WORD coords="2152,3207,2170,3192,3208">•</WORD>
<WORD coords="2738,3206,2833,3151,3205">38.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="623,3316,878,3253,3311">Pruebas</WORD>
<WORD coords="925,3312,995,3258,3311">de</WORD>
<WORD coords="1035,3314,1124,3259,3312">las</WORD>
<WORD coords="1171,3313,1365,3266,3311">cuatro</WORD>
<WORD coords="1407,3330,1757,3255,3309">operaciones</WORD>
<WORD coords="2728,3309,2828,3252,3308">47.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="618,3414,669,3359,3412">J¡</WORD>
<WORD coords="679,3416,1006,3363,3413">iteraciones</WORD>
<WORD coords="1057,3415,1157,3360,3414">del</WORD>
<WORD coords="1189,3435,1461,3360,3413">producto</WORD>
<WORD coords="1505,3436,1623,3378,3414">por</WORD>
<WORD coords="1672,3413,1754,3360,3413">las</WORD>
<WORD coords="1808,3412,1876,3359,3412">de</WORD>
<WORD coords="1930,3412,2010,3357,3411">los</WORD>
<WORD coords="2043,3432,2304,3358,3410">jactares</WORD>
<WORD coords="2746,3412,2841,3353,3410">49.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="620,3518,1001,3464,3516">Alteraciones</WORD>
<WORD coords="1053,3518,1142,3463,3515">del</WORD>
<WORD coords="1187,3518,1429,3466,3517">cociente</WORD>
<WORD coords="1468,3536,1575,3482,3517">por</WORD>
<WORD coords="1614,3516,1698,3464,3515">las</WORD>
<WORD coords="1744,3516,1813,3463,3516">de</WORD>
<WORD coords="1867,3515,1945,3460,3515">los</WORD>
<WORD coords="1982,3515,2247,3464,3514">términos</WORD>
<WORD coords="2434,3513,2454,3496,3513">•</WORD>
<WORD coords="2746,3513,2841,3459,3512">52.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="629,3621,980,3567,3619">Cantidades</WORD>
<WORD coords="1024,3641,1304,3568,3620">positivas</WORD>
<WORD coords="1353,3640,1384,3588,3639">y</WORD>
<WORD coords="1431,3639,1737,3571,3620">negativas</WORD>
<WORD coords="2742,3615,2838,3559,3612">58.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="623,3725,716,3667,3724">De</WORD>
<WORD coords="758,3723,838,3669,3723">los</WORD>
<WORD coords="888,3723,1149,3688,3722">numtros</WORD>
<WORD coords="1196,3745,1512,3669,3723">quebrados</WORD>
<WORD coords="1564,3725,1599,3672,3725">ó</WORD>
<WORD coords="1631,3742,1974,3668,3724">fracciones.</WORD>
<WORD coords="2740,3717,2830,3664,3716">59.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="631,3832,845,3777,3829">Varias</WORD>
<WORD coords="892,3828,1245,3773,3825">reducciones</WORD>
<WORD coords="1289,3826,1353,3774,3826">de</WORD>
<WORD coords="1395,3848,1698,3772,3827">quebrados</WORD>
<WORD coords="2302,3822,2640,3803,3820">.........</WORD>
<WORD coords="2731,3821,2830,3763,3818">63.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="623,3937,863,3880,3933">Jldícion</WORD>
<WORD coords="920,3930,986,3879,3930">de</WORD>
<WORD coords="1036,3949,1412,3874,3927">quebrados,..</WORD>
<WORD coords="2736,3920,2832,3864,3919">€9.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="624,4061,1092,3985,4039">Multiplicación</WORD>
<WORD coords="1143,4036,1207,3981,4036">ds</WORD>
<WORD coords="1265,4039,1652,3979,4036">Quebrados.,.*</WORD>
<WORD coords="1677,4038,2652,4005,4032">•«..••••.••••••»••••••*••</WORD>
<WORD coords="2740,4036,2839,3965,4030">lQ&gt;</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0168.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0169.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0169.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1286,470,1508,374,468">159</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="229,567,515,520,564">au*¡va$c\</WORD>
<WORD coords="530,563,596,526,562">en</WORD>
<WORD coords="641,562,707,505,562">de</WORD>
<WORD coords="754,584,846,525,559">qu&lt;</WORD>
<WORD coords="861,563,1081,505,560">hrados.</WORD>
<WORD coords="2333,571,2428,509,567">72.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="222,674,488,614,668">División</WORD>
<WORD coords="534,666,596,616,665">de</WORD>
<WORD coords="637,687,938,613,664">quebrados</WORD>
<WORD coords="968,664,976,657,668">.</WORD>
<WORD coords="2337,672,2427,621,670">73.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="216,788,545,715,768">Quebradas</WORD>
<WORD coords="591,769,659,716,768">de</WORD>
<WORD coords="708,788,1010,714,767">quebrados</WORD>
<WORD coords="2322,777,2419,718,774">75.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="221,874,538,816,872">Valuación</WORD>
<WORD coords="600,872,670,820,871">de</WORD>
<WORD coords="717,890,1057,816,869">quebrados..</WORD>
<WORD coords="1433,872,1451,855,872">•</WORD>
<WORD coords="2335,880,2428,824,877">77.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="214,992,545,920,974">Quebrados</WORD>
<WORD coords="586,974,874,924,972">continuos</WORD>
<WORD coords="2338,982,2431,923,978">78.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="217,1086,549,1023,1075">Quebrados</WORD>
<WORD coords="595,1076,890,1021,1075">decimales</WORD>
<WORD coords="920,1088,935,1062,1088">,</WORD>
<WORD coords="980,1092,1023,1041,1084">y</WORD>
<WORD coords="1063,1077,1156,1042,1075">sus</WORD>
<WORD coords="1195,1096,1312,1041,1075">ope/</WORD>
<WORD coords="1329,1077,1572,1028,1076">aciones.</WORD>
<WORD coords="2335,1085,2430,1028,1084">8J.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="211,1189,488,1131,1184">Números</WORD>
<WORD coords="537,1185,934,1130,1183">denominados</WORD>
<WORD coords="959,1196,973,1172,1196">,</WORD>
<WORD coords="995,1200,1038,1149,1192">y</WORD>
<WORD coords="1083,1183,1273,1148,1182">varias</WORD>
<WORD coords="1318,1185,1579,1130,1182">medidas</WORD>
<WORD coords="1607,1197,1621,1173,1192">,</WORD>
<WORD coords="1650,1188,1804,1151,1186">como</WORD>
<WORD coords="1846,1201,2100,1134,1187">lineales,</WORD>
<WORD coords="2126,1202,2304,1150,1185">agrá-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="297,1289,421,1240,1288">rias</WORD>
<WORD coords="446,1302,462,1274,1302">y</WORD>
<WORD coords="510,1286,574,1234,1286">de</WORD>
<WORD coords="626,1302,878,1235,1285">tiempo,</WORD>
<WORD coords="931,1285,994,1235,1285">de</WORD>
<WORD coords="1031,1303,1202,1249,1284">peso,</WORD>
<WORD coords="1251,1284,1315,1231,1284">de</WORD>
<WORD coords="1357,1287,1590,1234,1285">moneda</WORD>
<WORD coords="2333,1292,2426,1235,1290">92.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="216,1407,537,1334,1389">Digresión</WORD>
<WORD coords="595,1390,722,1335,1389">Dar</WORD>
<WORD coords="777,1390,830,1335,1390">la</WORD>
<WORD coords="873,1405,960,1335,1387">ley</WORD>
<WORD coords="1003,1389,1037,1338,1389">ó</WORD>
<WORD coords="1089,1404,1326,1352,1386">ensayar</WORD>
<WORD coords="1384,1388,1438,1334,1387">la</WORD>
<WORD coords="1487,1407,1653,1336,1387">piafa</WORD>
<WORD coords="1692,1410,1724,1358,1401">y</WORD>
<WORD coords="1771,1392,1830,1338,1392">el</WORD>
<WORD coords="1861,1392,1954,1359,1390">oro</WORD>
<WORD coords="2332,1394,2428,1339,1392">95.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="212,1510,736,1438,1492">Correspondencia</WORD>
<WORD coords="794,1493,858,1441,1492">de</WORD>
<WORD coords="909,1508,1158,1441,1491">algunas</WORD>
<WORD coords="1204,1490,1462,1437,1489">medidas</WORD>
<WORD coords="1510,1495,1755,1439,1491">lineales</WORD>
<WORD coords="1797,1511,1839,1461,1503">y</WORD>
<WORD coords="1881,1496,2147,1444,1495">monedas</WORD>
<WORD coords="2198,1492,2269,1460,1491">es-</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="296,1614,599,1551,1593">trangeras</WORD>
<WORD coords="647,1598,746,1560,1595">con</WORD>
<WORD coords="790,1596,877,1542,1595">las</WORD>
<WORD coords="919,1616,1215,1541,1593">españolas</WORD>
<WORD coords="1986,1597,2004,1580,1597">•</WORD>
<WORD coords="2336,1599,2433,1544,1598">99.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="215,1698,416,1639,1695">Jfuevo</WORD>
<WORD coords="443,1698,667,1645,1696">sistema</WORD>
<WORD coords="706,1699,946,1645,1697">decimal</WORD>
<WORD coords="980,1700,1048,1648,1699">de</WORD>
<WORD coords="1076,1703,1330,1647,1700">medidas</WORD>
<WORD coords="1362,1702,1659,1648,1700">inventado</WORD>
<WORD coords="1672,1721,1787,1664,1699">por</WORD>
<WORD coords="1831,1699,1909,1646,1698">los</WORD>
<WORD coords="1941,1701,2252,1644,1698">Franceses.</WORD>
<WORD coords="2305,1704,2432,1644,1699">100.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="221,1823,602,1744,1801">Operaciones</WORD>
<WORD coords="650,1805,717,1768,1804">en</WORD>
<WORD coords="746,1804,1140,1750,1803">denominados</WORD>
<WORD coords="2307,1806,2435,1752,1804">101.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1064,2006,1536,1914,2004">PARTE</WORD>
<WORD coords="1606,2008,1712,1918,2007">2.</WORD>
<WORD coords="1720,1966,1762,1920,1966">a</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="221,2175,531,2111,2170">Elevación</WORD>
<WORD coords="561,2173,624,2115,2173">ni</WORD>
<WORD coords="643,2176,935,2117,2174">cuadrado</WORD>
<WORD coords="985,2182,1022,2125,2181">ó</WORD>
<WORD coords="1052,2180,1104,2123,2178">2.</WORD>
<WORD coords="1133,2158,1168,2123,2167">*</WORD>
<WORD coords="1207,2198,1472,2127,2177">potencia</WORD>
<WORD coords="1502,2200,1536,2145,2190">y</WORD>
<WORD coords="1569,2180,1622,2145,2179">es</WORD>
<WORD coords="1628,2181,1890,2129,2180">fracción</WORD>
<WORD coords="1931,2179,2004,2124,2178">de</WORD>
<WORD coords="2045,2179,2099,2123,2179">la</WORD>
<WORD coords="2151,2178,2279,2141,2176">rn\2</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="301,2276,592,2222,2273">cuadrada</WORD>
<WORD coords="2304,2281,2432,2221,2278">\Q9,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="224,2382,488,2322,2379">Razones</WORD>
<WORD coords="528,2400,560,2348,2400">y</WORD>
<WORD coords="610,2403,1018,2339,2382">proporciones</WORD>
<WORD coords="1067,2403,1470,2333,2386">geométricas.</WORD>
<WORD coords="1897,2390,1967,2357,2390">-i.</WORD>
<WORD coords="1990,2390,2009,2371,2389">•</WORD>
<WORD coords="2028,2388,2047,2372,2388">•</WORD>
<WORD coords="2068,2393,2092,2371,2393">•</WORD>
<WORD coords="2204,2398,2206,2376,2398">;</WORD>
<WORD coords="2228,2386,2246,2364,2385">#</WORD>
<WORD coords="2303,2382,2432,2327,2381">117.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="223,2486,476,2429,2484">Razones</WORD>
<WORD coords="514,2505,545,2452,2505">y</WORD>
<WORD coords="582,2505,985,2439,2487">proporciones</WORD>
<WORD coords="1041,2493,1387,2439,2489">aritméticas</WORD>
<WORD coords="2076,2494,2093,2475,2494">.</WORD>
<WORD coords="2114,2494,2131,2480,2494">.</WORD>
<WORD coords="2156,2494,2173,2479,2491">.</WORD>
<WORD coords="2194,2491,2210,2475,2491">.</WORD>
<WORD coords="2235,2491,2253,2475,2491">.</WORD>
<WORD coords="2311,2491,2439,2436,2488">123,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="225,2586,362,2529,2586">Usos</WORD>
<WORD coords="402,2586,464,2535,2586">de</WORD>
<WORD coords="515,2588,572,2535,2587">la</WORD>
<WORD coords="619,2608,972,2554,2590">proporción</WORD>
<WORD coords="1029,2610,1378,2545,2593">geométrica</WORD>
<WORD coords="2307,2595,2436,2539,2593">126.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="221,2708,413,2632,2689">Regla</WORD>
<WORD coords="457,2691,526,2637,2690">de</WORD>
<WORD coords="580,2694,786,2648,2691">tres..»</WORD>
<WORD coords="2295,2698,2432,2639,2694">Ibid.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="221,2811,426,2738,2792">Regla</WORD>
<WORD coords="472,2793,536,2741,2793">de</WORD>
<WORD coords="578,2797,687,2752,2795">tres</WORD>
<WORD coords="732,2820,937,2746,2796">simple</WORD>
<WORD coords="981,2802,1197,2747,2800">directa</WORD>
<WORD coords="2305,2802,2433,2743,2799">128.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="216,2916,396,2843,2897">Regla</WORD>
<WORD coords="440,2898,508,2844,2897">de</WORD>
<WORD coords="548,2901,666,2854,2899">tres</WORD>
<WORD coords="709,2920,899,2850,2901">simple</WORD>
<WORD coords="944,2905,1225,2858,2903">inversa.,</WORD>
<WORD coords="1251,2905,1327,2887,2904">..•</WORD>
<WORD coords="2300,2903,2430,2846,2901">131.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="215,3017,409,2944,2999">Regla</WORD>
<WORD coords="457,3002,522,2947,3002">de</WORD>
<WORD coords="578,3006,693,2959,3004">tres</WORD>
<WORD coords="749,3027,1062,2961,3006">compuesta</WORD>
<WORD coords="1597,3007,1613,2992,3007">.</WORD>
<WORD coords="1631,3007,1649,2992,3008">.</WORD>
<WORD coords="2304,3004,2320,2955,3005">1</WORD>
<WORD coords="2336,3006,2430,2956,3006">34.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="212,3120,407,3047,3102">Regla</WORD>
<WORD coords="460,3124,722,3052,3105">conjunta</WORD>
<WORD coords="998,3108,1016,3093,3108">.</WORD>
<WORD coords="1040,3109,1056,3094,3109">.</WORD>
<WORD coords="1078,3109,1094,3094,3112">.</WORD>
<WORD coords="2305,3110,2431,3052,3107">137.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="210,3205,293,3149,3203">Re</WORD>
<WORD coords="309,3204,403,3153,3199">ola</WORD>
<WORD coords="448,3206,515,3153,3205">de</WORD>
<WORD coords="563,3228,854,3159,3208">compañía</WORD>
<WORD coords="2295,3211,2316,3159,3212">1</WORD>
<WORD coords="2330,3213,2423,3157,3212">40.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="205,3325,402,3249,3307">Regla</WORD>
<WORD coords="454,3309,521,3255,3308">de</WORD>
<WORD coords="565,3317,892,3261,3311">interés....</WORD>
<WORD coords="2298,3316,2426,3261,3315">142.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="202,3427,393,3355,3409">Regla</WORD>
<WORD coords="449,3412,514,3358,3411">de</WORD>
<WORD coords="558,3433,850,3360,3415">aligación</WORD>
<WORD coords="2293,3422,2419,3363,3419">145.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="204,3538,506,3460,3516">Apéndice.</WORD>
<WORD coords="537,3520,708,3463,3518">Modo</WORD>
<WORD coords="737,3522,804,3469,3522">de</WORD>
<WORD coords="853,3523,1064,3467,3522">dividir</WORD>
<WORD coords="1093,3524,1173,3470,3523">los</WORD>
<WORD coords="1203,3524,1444,3471,3523">diezmos</WORD>
<WORD coords="1472,3524,1537,3490,3523">en</WORD>
<WORD coords="1568,3523,1615,3471,3522">el</WORD>
<WORD coords="1644,3538,1905,3467,3521">obispado</WORD>
<WORD coords="1939,3521,2031,3468,3521">del</WORD>
<WORD coords="2059,3522,2239,3467,3521">Cuzco</WORD>
<WORD coords="2291,3530,2419,3469,3526">151.</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="512,3740,760,3646,3739">FIN</WORD>
<WORD coords="838,3744,1030,3650,3742">DE</WORD>
<WORD coords="1104,3742,1278,3652,3742">LA</WORD>
<WORD coords="1354,3744,2294,3648,3740">ARITMETICA.</WORD>
</LINE>
<LINE>
<WORD coords="806,3980,1142,3884,3976">Junio</WORD>
<WORD coords="1222,3978,1360,3886,3976">16</WORD>
<WORD coords="1432,3978,1558,3884,3977">de</WORD>
<WORD coords="1634,3980,1964,3884,3978">1832.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0169.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0170.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0170.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1772,446,1992,350,444">160</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="1276,684,2456,584,679">ADVERTENCIA.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="888,948,1096,854,945">Los</WORD>
<WORD coords="1172,972,1370,882,944">que</WORD>
<WORD coords="1444,946,1742,864,945">están</WORD>
<WORD coords="1836,952,2212,858,949">hechos</WORD>
<WORD coords="2304,956,2426,866,955">al</WORD>
<WORD coords="2508,962,2806,870,959">estilo</WORD>
<WORD coords="2880,966,3054,870,964">del</WORD>
</LINE>
<LINE>
<WORD coords="676,1084,1078,990,1082">Dorado</WORD>
<WORD coords="1166,1082,1668,992,1081">Contador</WORD>
<WORD coords="1698,1104,1724,1062,1087">,</WORD>
<WORD coords="1776,1084,1900,998,1084">de</WORD>
<WORD coords="1952,1092,2466,998,1088">Corachan</WORD>
<WORD coords="2500,1112,2524,1072,1112">,</WORD>
<WORD coords="2588,1124,2662,1038,1121">y</WORD>
<WORD coords="2734,1118,3044,1020,1096">otros,</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="670,1218,1164,1122,1216">mirarán</WORD>
<WORD coords="1214,1218,1406,1158,1216">con</WORD>
<WORD coords="1490,1216,1748,1134,1216">ceño</WORD>
<WORD coords="1828,1222,1976,1132,1219">los</WORD>
<WORD coords="2058,1252,2412,1140,1224">signos</WORD>
<WORD coords="2462,1232,3046,1150,1230">matemáti-</WORD>
</LINE>
<LINE>
<WORD coords="676,1354,850,1294,1352">cos</WORD>
<WORD coords="888,1374,914,1332,1374">,</WORD>
<WORD coords="970,1380,1168,1294,1352">que</WORD>
<WORD coords="1248,1354,1378,1294,1353">en</WORD>
<WORD coords="1462,1352,1682,1272,1351">esta</WORD>
<WORD coords="1740,1356,1988,1268,1354">obra</WORD>
<WORD coords="2072,1362,2184,1300,1361">se</WORD>
<WORD coords="2264,1364,2530,1304,1362">usan</WORD>
<WORD coords="2580,1366,2648,1274,1366">á</WORD>
<WORD coords="2696,1368,3046,1310,1367">menu-</WORD>
</LINE>
<LINE>
<WORD coords="670,1488,830,1400,1488">do.</WORD>
<WORD coords="974,1492,1254,1402,1488">Pero</WORD>
<WORD coords="1300,1488,1618,1398,1487">deben</WORD>
<WORD coords="1682,1496,2140,1404,1492">advertir</WORD>
<WORD coords="2172,1518,2196,1476,1518">,</WORD>
<WORD coords="2248,1526,2446,1440,1498">que</WORD>
<WORD coords="2500,1500,2646,1412,1498">los</WORD>
<WORD coords="2694,1528,3046,1418,1503">signos</WORD>
</LINE>
<LINE>
<WORD coords="672,1626,1198,1538,1624">iluminan</WORD>
<WORD coords="1248,1624,1620,1536,1623">mucho</WORD>
<WORD coords="1668,1626,1786,1540,1626">al</WORD>
<WORD coords="1828,1634,2428,1544,1630">calculador</WORD>
<WORD coords="2478,1634,2514,1578,1634">:</WORD>
<WORD coords="2570,1636,2662,1548,1636">le</WORD>
<WORD coords="2702,1664,3042,1554,1639">guian</WORD>
</LINE>
<LINE>
<WORD coords="670,1762,958,1702,1760">como</WORD>
<WORD coords="1016,1788,1224,1702,1759">por</WORD>
<WORD coords="1296,1760,1402,1672,1759">la</WORD>
<WORD coords="1478,1762,1792,1702,1761">mano</WORD>
<WORD coords="1876,1766,1994,1678,1766">al</WORD>
<WORD coords="2036,1796,2212,1682,1786">fin</WORD>
<WORD coords="2264,1798,2462,1714,1770">que</WORD>
<WORD coords="2492,1798,3036,1688,1772">pretende:</WORD>
</LINE>
<LINE>
<WORD coords="668,1928,744,1838,1914">y</WORD>
<WORD coords="828,1898,898,1802,1899">á</WORD>
<WORD coords="972,1896,1204,1836,1895">mas</WORD>
<WORD coords="1288,1894,1414,1808,1894">de</WORD>
<WORD coords="1504,1898,1718,1816,1896">esto</WORD>
<WORD coords="1812,1902,1928,1840,1900">es</WORD>
<WORD coords="2002,1902,2184,1822,1902">tan</WORD>
<WORD coords="2224,1928,2514,1820,1911">fácil</WORD>
<WORD coords="2598,1906,2724,1848,1906">su</WORD>
<WORD coords="2820,1910,3038,1850,1909">ma-</WORD>
</LINE>
<LINE>
<WORD coords="670,2064,906,1944,2031">nejo</WORD>
<WORD coords="940,2050,964,2010,2050">,</WORD>
<WORD coords="1016,2058,1218,1972,2030">que</WORD>
<WORD coords="1266,2030,1488,1972,2030">aun</WORD>
<WORD coords="1540,2034,1700,1946,2032">las</WORD>
<WORD coords="1748,2038,2074,1950,2035">niñas</WORD>
<WORD coords="2156,2040,2280,1952,2038">de</WORD>
<WORD coords="2330,2040,2492,1954,2038">las</WORD>
<WORD coords="2548,2046,3038,1956,2042">Educan-</WORD>
</LINE>
<LINE>
<WORD coords="670,2168,864,2082,2167">das</WORD>
<WORD coords="948,2166,1072,2080,2166">de</WORD>
<WORD coords="1118,2168,1342,2088,2167">esta</WORD>
<WORD coords="1394,2196,1800,2082,2167">capital</WORD>
<WORD coords="1842,2172,2034,2114,2170">con</WORD>
<WORD coords="2086,2198,2630,2086,2178">facilidad</WORD>
<WORD coords="2674,2178,2768,2090,2177">lo</WORD>
<WORD coords="2816,2182,3036,2092,2179">han</WORD>
</LINE>
<LINE>
<WORD coords="668,2334,1220,2216,2302">adquirido</WORD>
<WORD coords="1254,2324,1280,2282,2324">,</WORD>
<WORD coords="1328,2328,1656,2242,2302">según</WORD>
<WORD coords="1728,2306,1862,2216,2305">he</WORD>
<WORD coords="1942,2308,2202,2224,2307">visto</WORD>
<WORD coords="2252,2312,2376,2252,2311">en</WORD>
<WORD coords="2458,2316,2606,2224,2312">los</WORD>
<WORD coords="2686,2318,3036,2230,2314">varios</WORD>
</LINE>
<LINE>
<WORD coords="668,2442,1264,2380,2440">ecsamenes</WORD>
<WORD coords="1310,2440,1434,2350,2440">de</WORD>
<WORD coords="1484,2446,2118,2352,2444">Aritmética</WORD>
<WORD coords="2160,2468,2186,2422,2468">,</WORD>
<WORD coords="2238,2478,2436,2388,2451">que</WORD>
<WORD coords="2510,2452,2728,2360,2451">han</WORD>
<WORD coords="2792,2482,3034,2392,2454">pre»</WORD>
</LINE>
<LINE>
<WORD coords="668,2580,1166,2488,2577">sentado-</WORD>
<WORD coords="1668,2596,1804,2502,2590">7p</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0170.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0171.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0171.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0171.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0172.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0172.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0172.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0173.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0173.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0173.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0174.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0174.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="758,1850,986,1776,1849">Dame</WORD>
<WORD coords="1034,1856,1122,1804,1855">un</WORD>
<WORD coords="1156,1880,1372,1798,1858">punto</WORD>
<WORD coords="1410,1888,1532,1788,1869">fijo</WORD>
<WORD coords="1566,1888,1782,1790,1872">fuera</WORD>
<WORD coords="1830,1874,1908,1800,1873">de</WORD>
<WORD coords="1944,1874,2010,1800,1872">la</WORD>
<WORD coords="2062,1900,2298,1806,1878">tierra,</WORD>
<WORD coords="2336,1914,2400,1842,1903">y</WORD>
<WORD coords="2452,1892,2520,1822,1890">la</WORD>
<WORD coords="2574,1904,2840,1836,1902">move&quot;é</WORD>
<WORD coords="2844,1934,3200,1846,1927">Ornará</WORD>
</LINE>
</PARAGRAPH>
<PARAGRAPH>
<LINE>
<WORD coords="1744,2006,1756,1930,2006">\</WORD>
<WORD coords="2366,2006,2874,1922,1995">Arthlmedes.</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="3088,2412,3236,2252,2404">ir-</WORD>
</LINE>
<LINE>
<WORD coords="3104,2788,3236,2596,2788">f</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
<PAGECOLUMN>
<REGION>
<PARAGRAPH>
<LINE>
<WORD coords="3112,3828,3220,3656,3828">i</WORD>
</LINE>
</PARAGRAPH>
</REGION>
</PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0174.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0175.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0175.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0175.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0176.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0176.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0176.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4936" type="image/x.djvu" usemap="elementosdematem00ayal_0177.djvu" width="3322">
<PARAM name="PAGE" value="elementosdematem00ayal_0177.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0177.djvu"/>
<OBJECT data="file://localhost//t/derive/elementosdematem00ayal//elementosdematem00ayal.djvu" height="4944" type="image/x.djvu" usemap="elementosdematem00ayal_0178.djvu" width="3237">
<PARAM name="PAGE" value="elementosdematem00ayal_0178.djvu"/>
<PARAM name="DPI" value="650"/>
<HIDDENTEXT>
<PAGECOLUMN></PAGECOLUMN>
</HIDDENTEXT>
</OBJECT>
<MAP name="elementosdematem00ayal_0178.djvu"/>
</BODY>
</DjVuXML>