| Refs | {'start': {'reference': '5.2', 'human_reference': 'Chapter 5 Section 2'}} |
|---|---|
| Ancestors | [{'reference': '5'}] |
| Children | [] |
| Or | 1 | w | 2 |
| is | 1 | w | 4 |
| a | 1 | w | 5 |
| right | 1 | w | 10 |
| line | 1 | w | 14 |
| in | 2 | w | 16 |
| Nature | 1 | w | 22 |
| prior | 1 | w | 27 |
| to | 1 | w | 29 |
| circumference | 1 | w | 42 |
| or | 2 | w | 45 |
| is | 2 | w | 47 |
| circumference | 2 | w | 60 |
| but | 1 | w | 63 |
| an | 1 | w | 65 |
| accident | 1 | w | 73 |
| of | 1 | w | 75 |
| rectilinear | 1 | w | 86 |
| For | 1 | w | 90 |
| a | 6 | w | 91 |
| right | 2 | w | 96 |
| line | 3 | w | 100 |
| is | 3 | w | 102 |
| said | 1 | w | 106 |
| to | 2 | w | 108 |
| bend | 1 | w | 112 |
| and | 1 | w | 116 |
| a | 9 | w | 117 |
| circle | 1 | w | 123 |
| is | 4 | w | 125 |
| described | 1 | w | 134 |
| by | 1 | w | 136 |
| a | 10 | w | 137 |
| centre | 1 | w | 143 |
| and | 2 | w | 146 |
| distance | 1 | w | 154 |
| which | 1 | w | 160 |
| is | 6 | w | 162 |
| the | 1 | w | 165 |
| place | 1 | w | 170 |
| of | 2 | w | 172 |
| a | 14 | w | 173 |
| right | 3 | w | 178 |
| line | 4 | w | 182 |
| by | 2 | w | 184 |
| which | 2 | w | 189 |
| a | 15 | w | 190 |
| circumference | 3 | w | 203 |
| is | 7 | w | 205 |
| measured | 1 | w | 213 |
| this | 1 | w | 218 |
| being | 1 | w | 223 |
| everywhere | 1 | w | 233 |
| equally | 1 | w | 240 |
| distant | 1 | w | 247 |
| from | 1 | w | 251 |
| the | 2 | w | 254 |
| middle | 1 | w | 260 |
| And | 1 | w | 264 |
| a | 19 | w | 265 |
| cone | 1 | w | 269 |
| and | 3 | w | 272 |
| a | 21 | w | 273 |
| cylinder | 1 | w | 281 |
| are | 1 | w | 284 |
| made | 1 | w | 288 |
| by | 3 | w | 290 |
| rectilinears | 1 | w | 302 |
| a | 25 | w | 304 |
| cone | 2 | w | 308 |
| by | 4 | w | 310 |
| keeping | 1 | w | 317 |
| one | 3 | w | 320 |
| side | 1 | w | 324 |
| of | 3 | w | 326 |
| a | 26 | w | 327 |
| triangle | 1 | w | 335 |
| fixed | 1 | w | 340 |
| and | 4 | w | 343 |
| carrying | 1 | w | 351 |
| another | 1 | w | 358 |
| round | 1 | w | 363 |
| with | 1 | w | 367 |
| the | 4 | w | 370 |
| base | 1 | w | 374 |
| a | 32 | w | 377 |
| cylinder | 2 | w | 385 |
| by | 5 | w | 388 |
| doing | 1 | w | 393 |
| the | 5 | w | 396 |
| like | 1 | w | 400 |
| with | 2 | w | 404 |
| a | 33 | w | 405 |
| parallelogram | 1 | w | 418 |
| Further | 1 | w | 426 |
| that | 1 | w | 431 |
| is | 10 | w | 433 |
| nearest | 1 | w | 440 |
| to | 3 | w | 442 |
| principle | 1 | w | 451 |
| which | 3 | w | 456 |
| is | 11 | w | 458 |
| less | 1 | w | 462 |
| but | 2 | w | 466 |
| a | 39 | w | 467 |
| right | 4 | w | 472 |
| is | 12 | w | 474 |
| the | 7 | w | 477 |
| least | 1 | w | 482 |
| of | 4 | w | 484 |
| all | 3 | w | 487 |
| lines | 1 | w | 492 |
| as | 4 | w | 495 |
| it | 3 | w | 497 |
| is | 13 | w | 499 |
| simple | 1 | w | 505 |
| whereas | 1 | w | 513 |
| in | 15 | w | 515 |
| a | 44 | w | 516 |
| circumference | 4 | w | 529 |
| one | 4 | w | 532 |
| part | 1 | w | 536 |
| is | 14 | w | 538 |
| convex | 1 | w | 544 |
| without | 1 | w | 551 |
| another | 2 | w | 559 |
| concave | 1 | w | 566 |
| within | 1 | w | 572 |
| Besides | 1 | w | 580 |
| numbers | 1 | w | 588 |
| are | 3 | w | 591 |
| before | 1 | w | 597 |
| figures | 1 | w | 604 |
| as | 6 | w | 607 |
| unity | 1 | w | 612 |
| is | 15 | w | 614 |
| before | 2 | w | 620 |
| a | 50 | w | 621 |
| point | 1 | w | 626 |
| which | 4 | w | 632 |
| is | 16 | w | 634 |
| unity | 2 | w | 639 |
| in | 18 | w | 641 |
| position | 1 | w | 649 |
| But | 1 | w | 653 |
| indeed | 1 | w | 659 |
| unity | 3 | w | 664 |
| is | 17 | w | 666 |
| triangular | 1 | w | 676 |
| for | 3 | w | 680 |
| every | 2 | w | 685 |
| triangular | 2 | w | 695 |
| number | 2 | w | 701 |
| Triangular | 1 | w | 711 |
| numbers | 2 | w | 718 |
| are | 4 | w | 721 |
| those | 1 | w | 726 |
| of | 5 | w | 728 |
| which | 5 | w | 733 |
| equilateral | 1 | w | 744 |
| triangles | 1 | w | 753 |
| can | 1 | w | 756 |
| be | 9 | w | 758 |
| formed | 1 | w | 764 |
| in | 20 | w | 766 |
| this | 2 | w | 770 |
| way | 1 | w | 773 |
| Such | 1 | w | 779 |
| are | 5 | w | 782 |
| 3 | 1 | w | 783 |
| 6 | 1 | w | 785 |
| 10 | 1 | w | 788 |
| 15 | 1 | w | 791 |
| 21 | 1 | w | 794 |
| 28 | 1 | w | 797 |
| 36 | 1 | w | 800 |
| 45 | 1 | w | 803 |
| etc | 1 | w | 807 |
| that | 2 | w | 813 |
| is | 19 | w | 815 |
| numbers | 3 | w | 823 |
| formed | 2 | w | 829 |
| by | 6 | w | 831 |
| adding | 1 | w | 837 |
| the | 9 | w | 840 |
| digits | 1 | w | 846 |
| in | 22 | w | 848 |
| regular | 1 | w | 855 |
| order | 1 | w | 860 |
| G | 1 | w | 863 |
| taken | 1 | w | 870 |
| eight | 1 | w | 875 |
| times | 1 | w | 880 |
| by | 7 | w | 883 |
| adding | 2 | w | 889 |
| unity | 4 | w | 894 |
| becomes | 1 | w | 902 |
| quadrate | 1 | w | 910 |
| and | 5 | w | 914 |
| this | 3 | w | 918 |
| happens | 1 | w | 925 |
| to | 4 | w | 927 |
| unity | 5 | w | 932 |
| Therefore | 1 | w | 942 |
| a | 73 | w | 943 |
| triangle | 3 | w | 951 |
| is | 21 | w | 953 |
| before | 3 | w | 959 |
| a | 75 | w | 960 |
| circle | 2 | w | 966 |
| whence | 1 | w | 973 |
| a | 76 | w | 974 |
| right | 5 | w | 979 |
| line | 7 | w | 983 |
| is | 22 | w | 985 |
| before | 4 | w | 991 |
| a | 77 | w | 992 |
| circumference | 5 | w | 1005 |
| Besides | 2 | w | 1013 |
| no | 3 | w | 1016 |
| element | 1 | w | 1023 |
| is | 23 | w | 1025 |
| divided | 1 | w | 1032 |
| into | 1 | w | 1036 |
| things | 1 | w | 1042 |
| compounded | 1 | w | 1052 |
| of | 6 | w | 1054 |
| itself | 1 | w | 1060 |
| indeed | 2 | w | 1067 |
| there | 1 | w | 1072 |
| is | 24 | w | 1074 |
| a | 78 | w | 1075 |
| dissolution | 1 | w | 1086 |
| of | 7 | w | 1088 |
| all | 4 | w | 1091 |
| other | 3 | w | 1096 |
| things | 2 | w | 1102 |
| into | 2 | w | 1106 |
| the | 12 | w | 1109 |
| elements | 1 | w | 1117 |
| Now | 1 | w | 1121 |
| a | 80 | w | 1122 |
| triangle | 4 | w | 1130 |
| is | 26 | w | 1132 |
| divided | 2 | w | 1139 |
| into | 3 | w | 1143 |
| no | 4 | w | 1145 |
| circumference | 6 | w | 1158 |
| but | 3 | w | 1162 |
| two | 1 | w | 1165 |
| diameters | 1 | w | 1174 |
| cut | 1 | w | 1177 |
| a | 83 | w | 1178 |
| circle | 3 | w | 1184 |
| into | 4 | w | 1188 |
| four | 1 | w | 1192 |
| triangles | 2 | w | 1201 |
| therefore | 1 | w | 1211 |
| a | 85 | w | 1212 |
| rectilinear | 3 | w | 1223 |
| figure | 2 | w | 1229 |
| is | 27 | w | 1231 |
| before | 5 | w | 1237 |
| a | 87 | w | 1238 |
| circular | 1 | w | 1246 |
| and | 6 | w | 1250 |
| has | 1 | w | 1253 |
| more | 1 | w | 1257 |
| of | 8 | w | 1259 |
| the | 14 | w | 1262 |
| nature | 1 | w | 1268 |
| of | 9 | w | 1270 |
| an | 21 | w | 1272 |
| element | 3 | w | 1279 |
| And | 2 | w | 1283 |
| Plato | 1 | w | 1288 |
| himself | 1 | w | 1295 |
| shows | 1 | w | 1300 |
| that | 3 | w | 1304 |
| a | 95 | w | 1305 |
| rectilinear | 4 | w | 1316 |
| is | 28 | w | 1318 |
| in | 34 | w | 1320 |
| the | 15 | w | 1323 |
| first | 1 | w | 1328 |
| place | 2 | w | 1333 |
| and | 7 | w | 1337 |
| a | 99 | w | 1338 |
| circular | 2 | w | 1346 |
| is | 29 | w | 1348 |
| only | 1 | w | 1352 |
| consequential | 1 | w | 1365 |
| and | 8 | w | 1368 |
| accidental | 1 | w | 1378 |
| For | 2 | w | 1382 |
| when | 2 | w | 1386 |
| he | 21 | w | 1388 |
| says | 1 | w | 1392 |
| the | 16 | w | 1395 |
| earth | 1 | w | 1400 |
| consists | 1 | w | 1408 |
| of | 10 | w | 1410 |
| cubes | 1 | w | 1415 |
| each | 1 | w | 1420 |
| of | 11 | w | 1422 |
| which | 6 | w | 1427 |
| is | 31 | w | 1429 |
| contained | 1 | w | 1438 |
| with | 5 | w | 1442 |
| rectilinear | 5 | w | 1453 |
| superficies | 1 | w | 1464 |
| he | 23 | w | 1467 |
| says | 2 | w | 1471 |
| the | 17 | w | 1474 |
| earth | 2 | w | 1479 |
| is | 32 | w | 1481 |
| spherical | 1 | w | 1490 |
| and | 9 | w | 1493 |
| round | 2 | w | 1498 |
| Therefore | 2 | w | 1508 |
| there | 3 | w | 1513 |
| was | 1 | w | 1516 |
| no | 5 | w | 1518 |
| need | 1 | w | 1522 |
| of | 12 | w | 1524 |
| making | 1 | w | 1530 |
| a | 116 | w | 1531 |
| peculiar | 1 | w | 1539 |
| element | 4 | w | 1546 |
| for | 12 | w | 1549 |
| round | 3 | w | 1554 |
| things | 3 | w | 1560 |
| since | 1 | w | 1566 |
| rectilinears | 2 | w | 1578 |
| fitted | 1 | w | 1585 |
| after | 1 | w | 1590 |
| a | 120 | w | 1591 |
| certain | 1 | w | 1598 |
| manner | 1 | w | 1604 |
| among | 1 | w | 1609 |
| themselves | 1 | w | 1619 |
| do | 2 | w | 1622 |
| make | 1 | w | 1626 |
| up | 2 | w | 1628 |
| this | 4 | w | 1632 |
| figure | 3 | w | 1638 |