| Refs | {'start': {'reference': '87', 'human_reference': 'Section 87'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| Soc | 1 | w | 3 |
| I | 1 | w | 5 |
| mean | 1 | w | 9 |
| by | 1 | w | 11 |
| hypothesis | 1 | w | 21 |
| what | 1 | w | 25 |
| the | 2 | w | 28 |
| geometricians | 1 | w | 41 |
| often | 1 | w | 46 |
| do | 1 | w | 48 |
| in | 1 | w | 50 |
| dealing | 1 | w | 57 |
| with | 1 | w | 61 |
| a | 5 | w | 62 |
| question | 1 | w | 70 |
| put | 1 | w | 73 |
| to | 1 | w | 75 |
| them | 1 | w | 79 |
| for | 1 | w | 83 |
| example | 1 | w | 90 |
| whether | 1 | w | 98 |
| a | 7 | w | 99 |
| certain | 1 | w | 106 |
| area | 1 | w | 110 |
| is | 2 | w | 112 |
| capable | 1 | w | 119 |
| of | 2 | w | 121 |
| being | 1 | w | 126 |
| inscribed | 1 | w | 135 |
| as | 1 | w | 137 |
| a | 14 | w | 138 |
| triangular | 1 | w | 148 |
| space | 1 | w | 153 |
| in | 6 | w | 155 |
| a | 18 | w | 156 |
| given | 1 | w | 161 |
| circle | 1 | w | 167 |
| they | 1 | w | 172 |
| reply | 1 | w | 177 |
| I | 2 | w | 179 |
| cannot | 1 | w | 185 |
| yet | 1 | w | 188 |
| tell | 1 | w | 192 |
| whether | 2 | w | 199 |
| it | 2 | w | 201 |
| has | 1 | w | 204 |
| that | 1 | w | 208 |
| capability | 1 | w | 218 |
| but | 1 | w | 222 |
| I | 3 | w | 223 |
| think | 1 | w | 228 |
| if | 1 | w | 231 |
| I | 4 | w | 232 |
| may | 1 | w | 235 |
| put | 2 | w | 238 |
| it | 4 | w | 240 |
| so | 1 | w | 242 |
| that | 2 | w | 247 |
| I | 5 | w | 248 |
| have | 1 | w | 252 |
| a | 27 | w | 253 |
| certain | 2 | w | 260 |
| helpful | 1 | w | 267 |
| hypothesis | 2 | w | 277 |
| for | 2 | w | 280 |
| the | 8 | w | 283 |
| problem | 1 | w | 290 |
| and | 1 | w | 294 |
| it | 5 | w | 296 |
| is | 4 | w | 298 |
| as | 3 | w | 300 |
| follows | 1 | w | 307 |
| If | 1 | w | 310 |
| this | 1 | w | 314 |
| area | 2 | w | 318 |
| The | 1 | w | 321 |
| problem | 2 | w | 328 |
| seems | 1 | w | 333 |
| to | 2 | w | 335 |
| be | 3 | w | 337 |
| that | 3 | w | 341 |
| of | 3 | w | 343 |
| inscribing | 1 | w | 353 |
| in | 11 | w | 355 |
| a | 34 | w | 356 |
| circle | 2 | w | 362 |
| a | 35 | w | 363 |
| triangle | 1 | w | 371 |
| BDG | 1 | w | 375 |
| equal | 1 | w | 381 |
| in | 12 | w | 383 |
| area | 3 | w | 387 |
| to | 3 | w | 389 |
| a | 40 | w | 390 |
| given | 2 | w | 395 |
| rectangle | 1 | w | 404 |
| ABCD | 1 | w | 409 |
| is | 6 | w | 413 |
| such | 1 | w | 417 |
| that | 4 | w | 421 |
| when | 1 | w | 425 |
| you | 1 | w | 428 |
| apply | 1 | w | 433 |
| it | 6 | w | 435 |
| to | 4 | w | 437 |
| the | 9 | w | 440 |
| given | 3 | w | 445 |
| line | 1 | w | 449 |
| i | 40 | w | 450 |
| e | 51 | w | 452 |
| the | 10 | w | 457 |
| diameter | 1 | w | 465 |
| BF | 1 | w | 468 |
| of | 4 | w | 472 |
| the | 11 | w | 475 |
| circle | 3 | w | 481 |
| you | 2 | w | 484 |
| find | 1 | w | 488 |
| it | 7 | w | 490 |
| falls | 1 | w | 495 |
| short | 1 | w | 500 |
| i | 45 | w | 501 |
| e | 57 | w | 503 |
| falls | 2 | w | 510 |
| short | 2 | w | 515 |
| of | 5 | w | 517 |
| the | 12 | w | 520 |
| rectangle | 2 | w | 529 |
| on | 2 | w | 531 |
| the | 13 | w | 534 |
| diameter | 2 | w | 542 |
| ABFE | 1 | w | 547 |
| by | 2 | w | 551 |
| a | 49 | w | 552 |
| space | 2 | w | 557 |
| similar | 1 | w | 564 |
| to | 5 | w | 566 |
| that | 5 | w | 570 |
| which | 1 | w | 575 |
| you | 3 | w | 578 |
| have | 2 | w | 582 |
| just | 1 | w | 586 |
| applied | 1 | w | 593 |
| then | 1 | w | 598 |
| I | 7 | w | 599 |
| take | 1 | w | 603 |
| it | 8 | w | 605 |
| you | 4 | w | 608 |
| have | 3 | w | 612 |
| one | 1 | w | 615 |
| consequence | 1 | w | 626 |
| and | 2 | w | 630 |
| if | 2 | w | 632 |
| it | 9 | w | 634 |
| is | 7 | w | 636 |
| impossible | 1 | w | 646 |
| for | 3 | w | 649 |
| it | 10 | w | 651 |
| to | 6 | w | 653 |
| fall | 3 | w | 657 |
| so | 2 | w | 659 |
| then | 2 | w | 664 |
| some | 1 | w | 668 |
| other | 1 | w | 673 |
| Accordingly | 1 | w | 685 |
| I | 8 | w | 686 |
| wish | 1 | w | 690 |
| to | 7 | w | 692 |
| put | 3 | w | 695 |
| a | 59 | w | 696 |
| hypothesis | 3 | w | 706 |
| before | 1 | w | 713 |
| I | 9 | w | 714 |
| state | 1 | w | 719 |
| our | 1 | w | 722 |
| conclusion | 1 | w | 732 |
| as | 4 | w | 734 |
| regards | 1 | w | 741 |
| inscribing | 2 | w | 751 |
| this | 2 | w | 755 |
| figure | 1 | w | 761 |
| in | 18 | w | 763 |
| the | 18 | w | 766 |
| circle | 4 | w | 772 |
| by | 3 | w | 774 |
| saying | 1 | w | 780 |
| whether | 3 | w | 787 |
| it | 11 | w | 789 |
| is | 11 | w | 791 |
| impossible | 2 | w | 801 |
| or | 8 | w | 803 |
| not | 2 | w | 806 |
| In | 1 | w | 809 |
| the | 20 | w | 812 |
| same | 1 | w | 816 |
| way | 1 | w | 819 |
| with | 2 | w | 823 |
| regard | 2 | w | 829 |
| to | 8 | w | 831 |
| our | 2 | w | 834 |
| question | 2 | w | 842 |
| about | 1 | w | 847 |
| virtue | 1 | w | 853 |
| since | 1 | w | 859 |
| we | 1 | w | 861 |
| do | 2 | w | 863 |
| not | 3 | w | 866 |
| know | 1 | w | 870 |
| either | 1 | w | 876 |
| what | 2 | w | 880 |
| it | 14 | w | 882 |
| is | 12 | w | 884 |
| or | 9 | w | 886 |
| what | 3 | w | 890 |
| kind | 1 | w | 894 |
| of | 6 | w | 896 |
| thing | 1 | w | 901 |
| it | 15 | w | 903 |
| may | 2 | w | 906 |
| be | 5 | w | 908 |
| we | 2 | w | 911 |
| had | 1 | w | 914 |
| best | 1 | w | 918 |
| make | 1 | w | 922 |
| use | 1 | w | 925 |
| of | 7 | w | 927 |
| a | 73 | w | 928 |
| hypothesis | 4 | w | 938 |
| in | 23 | w | 940 |
| considering | 1 | w | 951 |
| whether | 4 | w | 958 |
| it | 16 | w | 960 |
| can | 2 | w | 963 |
| be | 7 | w | 965 |
| taught | 1 | w | 971 |
| or | 10 | w | 973 |
| not | 4 | w | 976 |
| as | 5 | w | 979 |
| thus | 1 | w | 983 |
| what | 4 | w | 988 |
| kind | 2 | w | 992 |
| of | 8 | w | 994 |
| thing | 2 | w | 999 |
| must | 1 | w | 1003 |
| virtue | 2 | w | 1009 |
| be | 8 | w | 1011 |
| in | 27 | w | 1013 |
| the | 24 | w | 1016 |
| class | 1 | w | 1021 |
| of | 9 | w | 1023 |
| mental | 1 | w | 1029 |
| properties | 1 | w | 1039 |
| so | 4 | w | 1042 |
| as | 7 | w | 1044 |
| to | 9 | w | 1046 |
| be | 9 | w | 1048 |
| teachable | 1 | w | 1057 |
| or | 11 | w | 1059 |
| not | 5 | w | 1062 |
| In | 2 | w | 1065 |
| the | 25 | w | 1068 |
| first | 1 | w | 1073 |
| place | 1 | w | 1078 |
| if | 3 | w | 1081 |
| it | 17 | w | 1083 |
| is | 14 | w | 1085 |
| something | 1 | w | 1094 |
| dissimilar | 1 | w | 1104 |
| or | 12 | w | 1106 |
| similar | 3 | w | 1113 |
| to | 10 | w | 1115 |
| knowledge | 1 | w | 1124 |
| is | 16 | w | 1127 |
| it | 18 | w | 1129 |
| taught | 2 | w | 1135 |
| or | 13 | w | 1137 |
| not | 6 | w | 1140 |
| or | 14 | w | 1143 |
| as | 8 | w | 1146 |
| we | 3 | w | 1148 |
| were | 1 | w | 1152 |
| saying | 2 | w | 1158 |
| just | 2 | w | 1162 |
| now | 3 | w | 1165 |
| remembered | 1 | w | 1176 |
| Let | 1 | w | 1180 |
| us | 7 | w | 1182 |
| have | 4 | w | 1186 |
| no | 10 | w | 1188 |
| disputing | 1 | w | 1197 |
| about | 2 | w | 1202 |
| the | 26 | w | 1205 |
| choice | 1 | w | 1211 |
| of | 10 | w | 1213 |
| a | 91 | w | 1214 |
| name | 1 | w | 1218 |
| is | 18 | w | 1221 |
| it | 19 | w | 1223 |
| taught | 3 | w | 1229 |
| Or | 1 | w | 1232 |
| is | 19 | w | 1234 |
| not | 7 | w | 1237 |
| this | 3 | w | 1241 |
| fact | 1 | w | 1245 |
| plain | 1 | w | 1250 |
| to | 11 | w | 1252 |
| everyone | 1 | w | 1260 |
| that | 6 | w | 1265 |
| the | 27 | w | 1268 |
| one | 3 | w | 1271 |
| and | 3 | w | 1274 |
| only | 1 | w | 1278 |
| thing | 4 | w | 1283 |
| taught | 4 | w | 1289 |
| to | 12 | w | 1291 |
| men | 2 | w | 1294 |
| is | 21 | w | 1296 |
| knowledge | 2 | w | 1305 |
| Men | 1 | w | 1309 |
| I | 12 | w | 1311 |
| agree | 1 | w | 1316 |
| to | 13 | w | 1318 |
| that | 7 | w | 1322 |
| Soc | 2 | w | 1326 |
| Then | 1 | w | 1331 |
| if | 4 | w | 1333 |
| virtue | 3 | w | 1339 |
| is | 22 | w | 1341 |
| a | 101 | w | 1342 |
| kind | 3 | w | 1346 |
| of | 11 | w | 1348 |
| knowledge | 3 | w | 1357 |
| clearly | 1 | w | 1365 |
| it | 20 | w | 1367 |
| must | 2 | w | 1371 |
| be | 11 | w | 1373 |
| taught | 5 | w | 1379 |
| Men | 2 | w | 1383 |
| Certainly | 1 | w | 1393 |
| Soc | 3 | w | 1397 |
| So | 4 | w | 1400 |
| you | 5 | w | 1403 |
| see | 2 | w | 1406 |
| we | 5 | w | 1408 |
| have | 5 | w | 1412 |
| made | 1 | w | 1416 |
| short | 3 | w | 1421 |
| work | 1 | w | 1425 |
| of | 12 | w | 1427 |
| this | 4 | w | 1431 |
| question | 3 | w | 1439 |
| if | 5 | w | 1442 |
| virtue | 4 | w | 1448 |
| belongs | 1 | w | 1455 |
| to | 14 | w | 1457 |
| one | 4 | w | 1460 |
| class | 2 | w | 1465 |
| of | 13 | w | 1467 |
| things | 1 | w | 1473 |
| it | 21 | w | 1475 |
| is | 24 | w | 1477 |
| teachable | 2 | w | 1486 |
| and | 4 | w | 1490 |
| if | 6 | w | 1492 |
| to | 15 | w | 1494 |
| another | 1 | w | 1501 |
| it | 22 | w | 1504 |
| is | 25 | w | 1506 |
| not | 9 | w | 1509 |
| Men | 3 | w | 1513 |
| To | 1 | w | 1516 |
| be | 13 | w | 1518 |
| sure | 1 | w | 1522 |
| Soc | 4 | w | 1526 |
| The | 3 | w | 1530 |
| next | 1 | w | 1534 |
| question | 4 | w | 1542 |
| it | 23 | w | 1545 |
| would | 1 | w | 1550 |
| seem | 2 | w | 1554 |
| that | 8 | w | 1559 |
| we | 6 | w | 1561 |
| have | 6 | w | 1565 |
| to | 16 | w | 1567 |
| consider | 2 | w | 1575 |
| is | 26 | w | 1577 |
| whether | 5 | w | 1584 |
| virtue | 5 | w | 1590 |
| is | 27 | w | 1592 |
| knowledge | 4 | w | 1601 |
| or | 17 | w | 1604 |
| of | 14 | w | 1606 |
| another | 2 | w | 1613 |
| kind | 4 | w | 1617 |
| than | 1 | w | 1621 |
| knowledge | 5 | w | 1630 |
| Men | 4 | w | 1634 |
| I | 13 | w | 1636 |
| should | 1 | w | 1642 |
| say | 3 | w | 1645 |
| that | 9 | w | 1649 |
| is | 28 | w | 1651 |
| the | 31 | w | 1654 |
| next | 2 | w | 1658 |
| thing | 6 | w | 1663 |
| we | 7 | w | 1665 |
| have | 7 | w | 1669 |
| to | 17 | w | 1671 |
| consider | 3 | w | 1679 |
| Soc | 5 | w | 1683 |
| Well | 1 | w | 1688 |
| now | 8 | w | 1691 |
| surely | 1 | w | 1698 |
| we | 8 | w | 1700 |
| call | 1 | w | 1704 |
| virtue | 6 | w | 1710 |
| a | 120 | w | 1711 |
| good | 1 | w | 1715 |
| thing | 7 | w | 1720 |
| do | 3 | w | 1723 |
| we | 9 | w | 1725 |
| not | 11 | w | 1728 |
| and | 5 | w | 1732 |
| our | 3 | w | 1735 |
| hypothesis | 5 | w | 1745 |
| stands | 1 | w | 1751 |
| that | 10 | w | 1756 |
| it | 24 | w | 1758 |
| is | 30 | w | 1760 |
| good | 2 | w | 1764 |
| Men | 5 | w | 1768 |
| Certainly | 2 | w | 1778 |
| we | 10 | w | 1780 |
| do | 4 | w | 1782 |
| Soc | 6 | w | 1786 |
| Then | 2 | w | 1791 |
| if | 7 | w | 1793 |
| there | 1 | w | 1798 |
| is | 31 | w | 1800 |
| some | 3 | w | 1804 |
| good | 3 | w | 1808 |
| apart | 1 | w | 1813 |
| and | 7 | w | 1816 |
| separable | 1 | w | 1825 |
| from | 1 | w | 1829 |
| knowledge | 6 | w | 1838 |
| it | 25 | w | 1841 |
| may | 3 | w | 1844 |
| be | 14 | w | 1846 |
| that | 11 | w | 1850 |
| virtue | 7 | w | 1856 |
| is | 32 | w | 1858 |
| not | 12 | w | 1861 |
| a | 132 | w | 1862 |
| kind | 5 | w | 1866 |
| of | 15 | w | 1868 |
| knowledge | 7 | w | 1877 |
| but | 2 | w | 1881 |
| if | 8 | w | 1883 |
| there | 2 | w | 1888 |
| is | 33 | w | 1890 |
| nothing | 1 | w | 1897 |
| good | 4 | w | 1901 |
| that | 12 | w | 1905 |
| is | 34 | w | 1907 |
| not | 14 | w | 1910 |
| embraced | 1 | w | 1918 |
| by | 4 | w | 1920 |
| knowledge | 8 | w | 1929 |
| our | 4 | w | 1933 |
| suspicion | 1 | w | 1942 |
| that | 13 | w | 1946 |
| virtue | 8 | w | 1952 |
| is | 35 | w | 1954 |
| a | 136 | w | 1955 |
| kind | 6 | w | 1959 |
| of | 16 | w | 1961 |
| knowledge | 9 | w | 1970 |
| would | 2 | w | 1975 |
| be | 15 | w | 1977 |
| well | 1 | w | 1981 |
| founded | 1 | w | 1988 |
| Men | 6 | w | 1992 |
| Quite | 1 | w | 1998 |
| so | 7 | w | 2000 |
| Soc | 7 | w | 2004 |
| Now | 1 | w | 2008 |
| it | 27 | w | 2010 |
| is | 36 | w | 2012 |
| by | 5 | w | 2014 |
| virtue | 9 | w | 2020 |
| that | 14 | w | 2024 |
| we | 12 | w | 2026 |
| are | 4 | w | 2029 |
| good | 5 | w | 2033 |
| Men | 7 | w | 2037 |
| Yes | 1 | w | 2041 |
| Soc | 8 | w | 2045 |
| And | 1 | w | 2049 |
| if | 9 | w | 2051 |
| good | 6 | w | 2055 |
| profitable | 1 | w | 2066 |
| for | 5 | w | 2070 |
| all | 5 | w | 2073 |
| good | 7 | w | 2077 |
| things | 2 | w | 2083 |
| are | 5 | w | 2086 |
| profitable | 2 | w | 2096 |
| are | 6 | w | 2100 |
| they | 2 | w | 2104 |
| not | 15 | w | 2107 |
| Men | 8 | w | 2111 |
| Yes | 2 | w | 2115 |
| Soc | 9 | w | 2119 |
| So | 11 | w | 2122 |
| virtue | 10 | w | 2128 |
| is | 37 | w | 2130 |
| profitable | 3 | w | 2140 |
| Men | 9 | w | 2144 |
| That | 1 | w | 2149 |
| must | 3 | w | 2153 |
| follow | 2 | w | 2159 |
| from | 2 | w | 2163 |
| what | 5 | w | 2167 |
| has | 2 | w | 2170 |
| been | 1 | w | 2174 |
| admitted | 1 | w | 2182 |
| Soc | 10 | w | 2186 |
| Then | 3 | w | 2191 |
| let | 1 | w | 2194 |
| us | 11 | w | 2196 |
| see | 4 | w | 2199 |
| in | 44 | w | 2202 |
| particular | 1 | w | 2212 |
| instances | 1 | w | 2221 |
| what | 6 | w | 2226 |
| sort | 1 | w | 2230 |
| of | 20 | w | 2232 |
| things | 3 | w | 2238 |
| they | 3 | w | 2242 |
| are | 7 | w | 2245 |
| that | 15 | w | 2249 |
| profit | 4 | w | 2255 |
| us | 12 | w | 2257 |
| Health | 1 | w | 2264 |
| let | 2 | w | 2268 |
| us | 13 | w | 2270 |
| say | 4 | w | 2273 |
| and | 8 | w | 2277 |
| strength | 1 | w | 2285 |
| and | 9 | w | 2289 |
| beauty | 1 | w | 2295 |
| and | 10 | w | 2299 |
| wealth | 1 | w | 2305 |
| these | 1 | w | 2311 |
| and | 11 | w | 2314 |
| their | 1 | w | 2319 |
| like | 1 | w | 2323 |
| we | 14 | w | 2325 |
| call | 2 | w | 2329 |
| profitable | 4 | w | 2339 |
| do | 5 | w | 2342 |
| we | 15 | w | 2344 |
| not | 16 | w | 2347 |
| Men | 10 | w | 2351 |
| Yes | 3 | w | 2355 |