| Refs | {'start': {'reference': '1.prop.35', 'human_reference': 'Book 1 Type prop Number 35'}, 'end': {'reference': '1.prop.39', 'human_reference': 'Book 1 Type prop Number 39'}} |
|---|---|
| Ancestors | [{'reference': '1'}, {'reference': '1.prop'}] |
| Children | [] |
| τὰ | 1 | w | 2 |
| παραλληλόγραμμα | 1 | w | 17 |
| τὰ | 2 | w | 19 |
| ἐπὶ | 1 | w | 22 |
| τῆς | 1 | w | 25 |
| αὐτῆς | 1 | w | 30 |
| βάσεως | 1 | w | 36 |
| ὄντα | 1 | w | 40 |
| καὶ | 1 | w | 43 |
| ἐν | 1 | w | 45 |
| ταῖς | 1 | w | 49 |
| αὐταῖς | 1 | w | 55 |
| παραλλήλοις | 1 | w | 66 |
| ἴσα | 1 | w | 69 |
| ἀλλήλοις | 1 | w | 77 |
| ἐστίν | 1 | w | 82 |
| ἔστω | 1 | w | 87 |
| παραλληλόγραμμα | 2 | w | 102 |
| τὰ | 3 | w | 104 |
| ΑΒΓΔ | 1 | w | 108 |
| ΕΒΓΖ | 1 | w | 113 |
| ἐπὶ | 2 | w | 116 |
| τῆς | 3 | w | 119 |
| αὐτῆς | 2 | w | 124 |
| βάσεως | 2 | w | 130 |
| τῆς | 5 | w | 133 |
| ΒΓ | 3 | w | 135 |
| καὶ | 2 | w | 138 |
| ἐν | 2 | w | 140 |
| ταῖς | 3 | w | 144 |
| αὐταῖς | 2 | w | 150 |
| παραλλήλοις | 2 | w | 161 |
| ταῖς | 5 | w | 165 |
| ΑΖ | 1 | w | 167 |
| ΒΓ | 4 | w | 170 |
| λέγω | 1 | w | 175 |
| ὅτι | 1 | w | 179 |
| ἴσον | 1 | w | 183 |
| ἐστὶ | 1 | w | 187 |
| τὸ | 1 | w | 189 |
| ΑΒΓΔ | 2 | w | 193 |
| τῷ | 1 | w | 195 |
| ΕΒΓΖ | 2 | w | 199 |
| παραλληλογράμμῳ | 1 | w | 214 |
| ἐπεὶ | 1 | w | 219 |
| γὰρ | 1 | w | 222 |
| παραλληλόγραμμόν | 1 | w | 238 |
| ἐστι | 1 | w | 242 |
| τὸ | 2 | w | 244 |
| ΑΒΓΔ | 3 | w | 248 |
| ἴση | 1 | w | 252 |
| ἐστὶν | 1 | w | 257 |
| ἡ | 1 | w | 258 |
| ΑΔ | 1 | w | 260 |
| τῇ | 1 | w | 262 |
| ΒΓ | 8 | w | 264 |
| διὰ | 1 | w | 268 |
| τὰ | 4 | w | 270 |
| αὐτὰ | 1 | w | 274 |
| δὴ | 1 | w | 276 |
| καὶ | 3 | w | 279 |
| ἡ | 2 | w | 280 |
| ΕΖ | 1 | w | 282 |
| τῇ | 2 | w | 284 |
| ΒΓ | 9 | w | 286 |
| ἐστιν | 1 | w | 291 |
| ἴση | 2 | w | 294 |
| ὥστε | 1 | w | 299 |
| καὶ | 4 | w | 302 |
| ἡ | 3 | w | 303 |
| ΑΔ | 2 | w | 305 |
| τῇ | 3 | w | 307 |
| ΕΖ | 2 | w | 309 |
| ἐστιν | 2 | w | 314 |
| ἴση | 3 | w | 317 |
| καὶ | 5 | w | 321 |
| κοινὴ | 1 | w | 326 |
| ἡ | 4 | w | 327 |
| ΔΕ | 1 | w | 329 |
| ὅλη | 1 | w | 333 |
| ἄρα | 1 | w | 336 |
| ἡ | 5 | w | 337 |
| ΑΕ | 1 | w | 339 |
| ὅλῃ | 1 | w | 342 |
| τῇ | 4 | w | 344 |
| ΔΖ | 1 | w | 346 |
| ἐστιν | 3 | w | 351 |
| ἴση | 4 | w | 354 |
| ἔστι | 1 | w | 359 |
| δὲ | 1 | w | 361 |
| καὶ | 6 | w | 364 |
| ἡ | 6 | w | 365 |
| ΑΒ | 4 | w | 367 |
| τῇ | 5 | w | 369 |
| ΔΓ | 1 | w | 371 |
| ἴση | 5 | w | 374 |
| δύο | 1 | w | 378 |
| δὴ | 2 | w | 380 |
| αἱ | 1 | w | 382 |
| ΕΑ | 1 | w | 384 |
| ΑΒ | 5 | w | 387 |
| δύο | 2 | w | 390 |
| ταῖς | 6 | w | 394 |
| ΖΔ | 1 | w | 396 |
| ΔΓ | 2 | w | 399 |
| ἴσαι | 1 | w | 403 |
| εἰσὶν | 1 | w | 408 |
| ἑκατέρα | 1 | w | 415 |
| ἑκατέρᾳ | 1 | w | 422 |
| καὶ | 7 | w | 426 |
| γωνία | 1 | w | 431 |
| ἡ | 7 | w | 432 |
| ὑπὸ | 1 | w | 435 |
| ΖΔΓ | 1 | w | 438 |
| γωνίᾳ | 1 | w | 443 |
| τῇ | 6 | w | 445 |
| ὑπὸ | 2 | w | 448 |
| ΕΑΒ | 1 | w | 451 |
| ἐστιν | 4 | w | 456 |
| ἴση | 6 | w | 459 |
| ἡ | 8 | w | 460 |
| ἐκτὸς | 1 | w | 465 |
| τῇ | 7 | w | 467 |
| ἐντός | 1 | w | 472 |
| βάσις | 1 | w | 478 |
| ἄρα | 2 | w | 481 |
| ἡ | 9 | w | 482 |
| ΕΒ | 3 | w | 484 |
| βάσει | 1 | w | 489 |
| τῇ | 8 | w | 491 |
| ΖΓ | 1 | w | 493 |
| ἴση | 7 | w | 496 |
| ἐστίν | 2 | w | 501 |
| καὶ | 8 | w | 505 |
| τὸ | 4 | w | 507 |
| ΕΑΒ | 2 | w | 510 |
| τρίγωνον | 1 | w | 518 |
| τῷ | 2 | w | 520 |
| ΔΖΓ | 1 | w | 523 |
| τριγώνῳ | 1 | w | 530 |
| ἴσον | 2 | w | 534 |
| ἔσται | 1 | w | 539 |
| κοινὸν | 1 | w | 546 |
| ἀφῃρήσθω | 1 | w | 554 |
| τὸ | 5 | w | 556 |
| ΔΗΕ | 1 | w | 559 |
| λοιπὸν | 1 | w | 566 |
| ἄρα | 3 | w | 569 |
| τὸ | 6 | w | 571 |
| ΑΒΗΔ | 1 | w | 575 |
| τραπέζιον | 1 | w | 584 |
| λοιπῷ | 1 | w | 589 |
| τῷ | 3 | w | 591 |
| ΕΗΓΖ | 1 | w | 595 |
| τραπεζίῳ | 1 | w | 603 |
| ἐστὶν | 2 | w | 608 |
| ἴσον | 3 | w | 612 |
| κοινὸν | 2 | w | 619 |
| προσκείσθω | 1 | w | 629 |
| τὸ | 7 | w | 631 |
| ΗΒΓ | 1 | w | 634 |
| τρίγωνον | 2 | w | 642 |
| ὅλον | 1 | w | 647 |
| ἄρα | 4 | w | 650 |
| τὸ | 8 | w | 652 |
| ΑΒΓΔ | 4 | w | 656 |
| παραλληλόγραμμον | 1 | w | 672 |
| ὅλῳ | 1 | w | 675 |
| τῷ | 4 | w | 677 |
| ΕΒΓΖ | 3 | w | 681 |
| παραλληλογράμμῳ | 2 | w | 696 |
| ἴσον | 4 | w | 700 |
| ἐστίν | 3 | w | 705 |
| τὰ | 6 | w | 708 |
| ἄρα | 5 | w | 711 |
| παραλληλόγραμμα | 3 | w | 726 |
| τὰ | 7 | w | 728 |
| ἐπὶ | 3 | w | 731 |
| τῆς | 6 | w | 734 |
| αὐτῆς | 3 | w | 739 |
| βάσεως | 3 | w | 745 |
| ὄντα | 2 | w | 749 |
| καὶ | 9 | w | 752 |
| ἐν | 4 | w | 754 |
| ταῖς | 7 | w | 758 |
| αὐταῖς | 3 | w | 764 |
| παραλλήλοις | 3 | w | 775 |
| ἴσα | 3 | w | 778 |
| ἀλλήλοις | 2 | w | 786 |
| ἐστίν | 4 | w | 791 |
| ὅπερ | 1 | w | 796 |
| ἔδει | 1 | w | 800 |
| δεῖξαι | 1 | w | 806 |
| τὰ | 8 | w | 809 |
| παραλληλόγραμμα | 4 | w | 824 |
| τὰ | 9 | w | 826 |
| ἐπὶ | 4 | w | 829 |
| ἴσων | 1 | w | 833 |
| βάσεων | 1 | w | 839 |
| ὄντα | 3 | w | 843 |
| καὶ | 10 | w | 846 |
| ἐν | 5 | w | 848 |
| ταῖς | 9 | w | 852 |
| αὐταῖς | 4 | w | 858 |
| παραλλήλοις | 4 | w | 869 |
| ἴσα | 4 | w | 872 |
| ἀλλήλοις | 3 | w | 880 |
| ἐστίν | 5 | w | 885 |
| ἔστω | 2 | w | 890 |
| παραλληλόγραμμα | 5 | w | 905 |
| τὰ | 10 | w | 907 |
| ΑΒΓΔ | 5 | w | 911 |
| ΕΖΗΘ | 1 | w | 916 |
| ἐπὶ | 5 | w | 919 |
| ἴσων | 2 | w | 923 |
| βάσεων | 2 | w | 929 |
| ὄντα | 4 | w | 933 |
| τῶν | 1 | w | 936 |
| ΒΓ | 14 | w | 938 |
| ΖΗ | 2 | w | 941 |
| καὶ | 11 | w | 944 |
| ἐν | 6 | w | 946 |
| ταῖς | 11 | w | 950 |
| αὐταῖς | 5 | w | 956 |
| παραλλήλοις | 5 | w | 967 |
| ταῖς | 13 | w | 971 |
| ΑΘ | 1 | w | 973 |
| ΒΗ | 2 | w | 976 |
| λέγω | 2 | w | 981 |
| ὅτι | 2 | w | 985 |
| ἴσον | 5 | w | 989 |
| ἐστὶ | 4 | w | 993 |
| τὸ | 9 | w | 995 |
| ΑΒΓΔ | 6 | w | 999 |
| παραλληλόγραμμον | 2 | w | 1015 |
| τῷ | 5 | w | 1017 |
| ΕΖΗΘ | 2 | w | 1021 |
| ἐπεζεύχθωσαν | 1 | w | 1034 |
| γὰρ | 2 | w | 1037 |
| αἱ | 2 | w | 1039 |
| ΒΕ | 1 | w | 1041 |
| ΓΘ | 1 | w | 1044 |
| καὶ | 12 | w | 1048 |
| ἐπεὶ | 2 | w | 1052 |
| ἴση | 8 | w | 1055 |
| ἐστὶν | 3 | w | 1060 |
| ἡ | 10 | w | 1061 |
| ΒΓ | 16 | w | 1063 |
| τῇ | 9 | w | 1065 |
| ΖΗ | 4 | w | 1067 |
| ἀλλὰ | 1 | w | 1072 |
| ἡ | 11 | w | 1073 |
| ΖΗ | 5 | w | 1075 |
| τῇ | 10 | w | 1077 |
| ΕΘ | 1 | w | 1079 |
| ἐστιν | 5 | w | 1084 |
| ἴση | 9 | w | 1087 |
| καὶ | 13 | w | 1091 |
| ἡ | 12 | w | 1092 |
| ΒΓ | 17 | w | 1094 |
| ἄρα | 6 | w | 1097 |
| τῇ | 11 | w | 1099 |
| ΕΘ | 2 | w | 1101 |
| ἐστιν | 6 | w | 1106 |
| ἴση | 10 | w | 1109 |
| εἰσὶ | 2 | w | 1114 |
| δὲ | 2 | w | 1116 |
| καὶ | 14 | w | 1119 |
| παράλληλοι | 1 | w | 1129 |
| καὶ | 15 | w | 1133 |
| ἐπιζευγνύουσιν | 1 | w | 1147 |
| αὐτὰς | 1 | w | 1152 |
| αἱ | 3 | w | 1154 |
| ΕΒ | 5 | w | 1156 |
| ΘΓ | 1 | w | 1159 |
| αἱ | 4 | w | 1162 |
| δὲ | 3 | w | 1164 |
| τὰς | 2 | w | 1167 |
| ἴσας | 1 | w | 1171 |
| τε | 2 | w | 1173 |
| καὶ | 16 | w | 1176 |
| παραλλήλους | 1 | w | 1187 |
| ἐπὶ | 6 | w | 1190 |
| τὰ | 13 | w | 1192 |
| αὐτὰ | 3 | w | 1196 |
| μέρη | 1 | w | 1200 |
| ἐπιζευγνύουσαι | 1 | w | 1214 |
| ἴσαι | 2 | w | 1218 |
| τε | 3 | w | 1220 |
| καὶ | 17 | w | 1223 |
| παράλληλοί | 1 | w | 1233 |
| εἰσι | 1 | w | 1237 |
| καὶ | 18 | w | 1241 |
| αἱ | 5 | w | 1243 |
| ΕΒ | 6 | w | 1245 |
| ΘΓ | 2 | w | 1248 |
| ἄρα | 7 | w | 1251 |
| ἴσαι | 3 | w | 1255 |
| τέ | 3 | w | 1257 |
| εἰσι | 2 | w | 1261 |
| καὶ | 19 | w | 1264 |
| παράλληλοι | 2 | w | 1274 |
| παραλληλόγραμμον | 3 | w | 1291 |
| ἄρα | 8 | w | 1294 |
| ἐστὶ | 6 | w | 1298 |
| τὸ | 10 | w | 1300 |
| ΕΒΓΘ | 1 | w | 1304 |
| καί | 1 | w | 1308 |
| ἐστιν | 7 | w | 1313 |
| ἴσον | 6 | w | 1317 |
| τῷ | 6 | w | 1319 |
| ΑΒΓΔ | 7 | w | 1323 |
| βάσιν | 1 | w | 1329 |
| τε | 4 | w | 1331 |
| γὰρ | 3 | w | 1334 |
| αὐτῷ | 1 | w | 1338 |
| τὴν | 1 | w | 1341 |
| αὐτὴν | 1 | w | 1346 |
| ἔχει | 1 | w | 1350 |
| τὴν | 3 | w | 1353 |
| ΒΓ | 20 | w | 1355 |
| καὶ | 20 | w | 1359 |
| ἐν | 7 | w | 1361 |
| ταῖς | 14 | w | 1365 |
| αὐταῖς | 6 | w | 1371 |
| παραλλήλοις | 6 | w | 1382 |
| ἐστὶν | 4 | w | 1387 |
| αὐτῷ | 2 | w | 1391 |
| ταῖς | 16 | w | 1395 |
| ΒΓ | 21 | w | 1397 |
| ΑΘ | 2 | w | 1400 |
| διὰ | 2 | w | 1404 |
| τὰ | 15 | w | 1406 |
| αὐτὰ | 4 | w | 1410 |
| δὴ | 3 | w | 1412 |
| καὶ | 21 | w | 1415 |
| τὸ | 11 | w | 1417 |
| ΕΖΗΘ | 3 | w | 1421 |
| τῷ | 9 | w | 1423 |
| αὐτῷ | 3 | w | 1427 |
| τῷ | 11 | w | 1429 |
| ΕΒΓΘ | 2 | w | 1433 |
| ἐστιν | 8 | w | 1438 |
| ἴσον | 7 | w | 1442 |
| ὥστε | 2 | w | 1447 |
| καὶ | 22 | w | 1450 |
| τὸ | 12 | w | 1452 |
| ΑΒΓΔ | 8 | w | 1456 |
| παραλληλόγραμμον | 4 | w | 1472 |
| τῷ | 12 | w | 1474 |
| ΕΖΗΘ | 4 | w | 1478 |
| ἐστιν | 9 | w | 1483 |
| ἴσον | 8 | w | 1487 |
| τὰ | 17 | w | 1490 |
| ἄρα | 9 | w | 1493 |
| παραλληλόγραμμα | 6 | w | 1508 |
| τὰ | 18 | w | 1510 |
| ἐπὶ | 7 | w | 1513 |
| ἴσων | 3 | w | 1517 |
| βάσεων | 3 | w | 1523 |
| ὄντα | 5 | w | 1527 |
| καὶ | 23 | w | 1530 |
| ἐν | 8 | w | 1532 |
| ταῖς | 17 | w | 1536 |
| αὐταῖς | 7 | w | 1542 |
| παραλλήλοις | 7 | w | 1553 |
| ἴσα | 8 | w | 1556 |
| ἀλλήλοις | 4 | w | 1564 |
| ἐστίν | 6 | w | 1569 |
| ὅπερ | 2 | w | 1574 |
| ἔδει | 2 | w | 1578 |
| δεῖξαι | 2 | w | 1584 |
| τὰ | 19 | w | 1587 |
| τρίγωνα | 1 | w | 1594 |
| τὰ | 20 | w | 1596 |
| ἐπὶ | 8 | w | 1599 |
| τῆς | 8 | w | 1602 |
| αὐτῆς | 4 | w | 1607 |
| βάσεως | 4 | w | 1613 |
| ὄντα | 6 | w | 1617 |
| καὶ | 24 | w | 1620 |
| ἐν | 9 | w | 1622 |
| ταῖς | 19 | w | 1626 |
| αὐταῖς | 8 | w | 1632 |
| παραλλήλοις | 8 | w | 1643 |
| ἴσα | 9 | w | 1646 |
| ἀλλήλοις | 5 | w | 1654 |
| ἐστίν | 7 | w | 1659 |
| ἔστω | 3 | w | 1664 |
| τρίγωνα | 2 | w | 1671 |
| τὰ | 21 | w | 1673 |
| ΑΒΓ | 9 | w | 1676 |
| ΔΒΓ | 1 | w | 1680 |
| ἐπὶ | 9 | w | 1683 |
| τῆς | 10 | w | 1686 |
| αὐτῆς | 5 | w | 1691 |
| βάσεως | 5 | w | 1697 |
| τῆς | 12 | w | 1700 |
| ΒΓ | 26 | w | 1702 |
| καὶ | 25 | w | 1705 |
| ἐν | 10 | w | 1707 |
| ταῖς | 21 | w | 1711 |
| αὐταῖς | 9 | w | 1717 |
| παραλλήλοις | 9 | w | 1728 |
| ταῖς | 23 | w | 1732 |
| ΑΔ | 3 | w | 1734 |
| ΒΓ | 27 | w | 1737 |
| λέγω | 3 | w | 1742 |
| ὅτι | 3 | w | 1746 |
| ἴσον | 9 | w | 1750 |
| ἐστὶ | 8 | w | 1754 |
| τὸ | 13 | w | 1756 |
| ΑΒΓ | 10 | w | 1759 |
| τρίγωνον | 3 | w | 1767 |
| τῷ | 13 | w | 1769 |
| ΔΒΓ | 2 | w | 1772 |
| τριγώνῳ | 2 | w | 1779 |
| Ἐκβεβλήσθω | 1 | w | 1790 |
| ἡ | 13 | w | 1791 |
| ΑΔ | 4 | w | 1793 |
| ἐφʼ | 1 | w | 1796 |
| ἑκάτερα | 1 | w | 1803 |
| τὰ | 22 | w | 1805 |
| μέρη | 2 | w | 1809 |
| ἐπὶ | 10 | w | 1812 |
| τὰ | 23 | w | 1814 |
| Ε | 25 | w | 1815 |
| Ζ | 20 | w | 1817 |
| καὶ | 26 | w | 1821 |
| διὰ | 3 | w | 1824 |
| μὲν | 1 | w | 1827 |
| τοῦ | 1 | w | 1830 |
| Β | 40 | w | 1831 |
| τῇ | 12 | w | 1833 |
| ΓΑ | 1 | w | 1835 |
| παράλληλος | 1 | w | 1845 |
| ἤχθω | 1 | w | 1849 |
| ἡ | 14 | w | 1850 |
| ΒΕ | 2 | w | 1852 |
| διὰ | 4 | w | 1856 |
| δὲ | 4 | w | 1858 |
| τοῦ | 2 | w | 1861 |
| Γ | 40 | w | 1862 |
| τῇ | 13 | w | 1864 |
| ΒΔ | 1 | w | 1866 |
| παράλληλος | 2 | w | 1876 |
| ἤχθω | 2 | w | 1880 |
| ἡ | 15 | w | 1881 |
| ΓΖ | 5 | w | 1883 |
| παραλληλόγραμμον | 5 | w | 1900 |
| ἄρα | 10 | w | 1903 |
| ἐστὶν | 5 | w | 1908 |
| ἑκάτερον | 1 | w | 1916 |
| τῶν | 2 | w | 1919 |
| ΕΒΓΑ | 1 | w | 1923 |
| ΔΒΓΖ | 1 | w | 1928 |
| καί | 2 | w | 1932 |
| εἰσιν | 1 | w | 1937 |
| ἴσα | 10 | w | 1940 |
| ἐπί | 1 | w | 1944 |
| τε | 8 | w | 1946 |
| γὰρ | 4 | w | 1949 |
| τῆς | 13 | w | 1952 |
| αὐτῆς | 6 | w | 1957 |
| βάσεώς | 1 | w | 1963 |
| εἰσι | 4 | w | 1967 |
| τῆς | 15 | w | 1970 |
| ΒΓ | 32 | w | 1972 |
| καὶ | 27 | w | 1975 |
| ἐν | 11 | w | 1977 |
| ταῖς | 24 | w | 1981 |
| αὐταῖς | 10 | w | 1987 |
| παραλλήλοις | 10 | w | 1998 |
| ταῖς | 26 | w | 2002 |
| ΒΓ | 33 | w | 2004 |
| ΕΖ | 7 | w | 2007 |
| καί | 3 | w | 2011 |
| ἐστι | 11 | w | 2015 |
| τοῦ | 3 | w | 2018 |
| μὲν | 2 | w | 2021 |
| ΕΒΓΑ | 2 | w | 2025 |
| παραλληλογράμμου | 1 | w | 2041 |
| ἥμισυ | 1 | w | 2046 |
| τὸ | 14 | w | 2048 |
| ΑΒΓ | 11 | w | 2051 |
| τρίγωνον | 4 | w | 2059 |
| ἡ | 16 | w | 2061 |
| γὰρ | 5 | w | 2064 |
| ΑΒ | 17 | w | 2066 |
| διάμετρος | 1 | w | 2075 |
| αὐτὸ | 1 | w | 2079 |
| δίχα | 1 | w | 2083 |
| τέμνει | 1 | w | 2089 |
| τοῦ | 4 | w | 2093 |
| δὲ | 5 | w | 2095 |
| ΔΒΓΖ | 2 | w | 2099 |
| παραλληλογράμμου | 2 | w | 2115 |
| ἥμισυ | 2 | w | 2120 |
| τὸ | 16 | w | 2122 |
| ΔΒΓ | 5 | w | 2125 |
| τρίγωνον | 5 | w | 2133 |
| ἡ | 17 | w | 2135 |
| γὰρ | 6 | w | 2138 |
| ΔΓ | 4 | w | 2140 |
| διάμετρος | 2 | w | 2149 |
| αὐτὸ | 2 | w | 2153 |
| δίχα | 2 | w | 2157 |
| τέμνει | 2 | w | 2163 |
| τὰ | 24 | w | 2166 |
| δὲ | 6 | w | 2168 |
| τῶν | 3 | w | 2171 |
| ἴσων | 4 | w | 2175 |
| ἡμίση | 1 | w | 2180 |
| ἴσα | 11 | w | 2183 |
| ἀλλήλοις | 6 | w | 2191 |
| ἐστίν | 8 | w | 2196 |
| ἴσον | 10 | w | 2201 |
| ἄρα | 11 | w | 2204 |
| ἐστὶ | 10 | w | 2208 |
| τὸ | 18 | w | 2210 |
| ΑΒΓ | 12 | w | 2213 |
| τρίγωνον | 6 | w | 2221 |
| τῷ | 14 | w | 2223 |
| ΔΒΓ | 6 | w | 2226 |
| τριγώνῳ | 3 | w | 2233 |
| τὰ | 25 | w | 2236 |
| ἄρα | 12 | w | 2239 |
| τρίγωνα | 3 | w | 2246 |
| τὰ | 26 | w | 2248 |
| ἐπὶ | 11 | w | 2251 |
| τῆς | 16 | w | 2254 |
| αὐτῆς | 7 | w | 2259 |
| βάσεως | 6 | w | 2265 |
| ὄντα | 7 | w | 2269 |
| καὶ | 28 | w | 2272 |
| ἐν | 12 | w | 2274 |
| ταῖς | 27 | w | 2278 |
| αὐταῖς | 11 | w | 2284 |
| παραλλήλοις | 11 | w | 2295 |
| ἴσα | 12 | w | 2298 |
| ἀλλήλοις | 7 | w | 2306 |
| ἐστίν | 9 | w | 2311 |
| ὅπερ | 3 | w | 2316 |
| ἔδει | 3 | w | 2320 |
| δεῖξαι | 3 | w | 2326 |
| τὰ | 27 | w | 2329 |
| τρίγωνα | 4 | w | 2336 |
| τὰ | 28 | w | 2338 |
| ἐπὶ | 12 | w | 2341 |
| ἴσων | 5 | w | 2345 |
| βάσεων | 4 | w | 2351 |
| ὄντα | 8 | w | 2355 |
| καὶ | 29 | w | 2358 |
| ἐν | 13 | w | 2360 |
| ταῖς | 29 | w | 2364 |
| αὐταῖς | 12 | w | 2370 |
| παραλλήλοις | 12 | w | 2381 |
| ἴσα | 13 | w | 2384 |
| ἀλλήλοις | 8 | w | 2392 |
| ἐστίν | 10 | w | 2397 |
| ἔστω | 4 | w | 2402 |
| τρίγωνα | 5 | w | 2409 |
| τὰ | 29 | w | 2411 |
| ΑΒΓ | 13 | w | 2414 |
| ΔΕΖ | 1 | w | 2418 |
| ἐπὶ | 13 | w | 2421 |
| ἴσων | 6 | w | 2425 |
| βάσεων | 5 | w | 2431 |
| τῶν | 4 | w | 2434 |
| ΒΓ | 41 | w | 2436 |
| ΕΖ | 9 | w | 2439 |
| καὶ | 30 | w | 2442 |
| ἐν | 14 | w | 2444 |
| ταῖς | 31 | w | 2448 |
| αὐταῖς | 13 | w | 2454 |
| παραλλήλοις | 13 | w | 2465 |
| ταῖς | 33 | w | 2469 |
| ΒΖ | 1 | w | 2471 |
| ΑΔ | 5 | w | 2474 |
| λέγω | 4 | w | 2479 |
| ὅτι | 4 | w | 2483 |
| ἴσον | 11 | w | 2487 |
| ἐστὶ | 11 | w | 2491 |
| τὸ | 19 | w | 2493 |
| ΑΒΓ | 14 | w | 2496 |
| τρίγωνον | 7 | w | 2504 |
| τῷ | 15 | w | 2506 |
| ΔΕΖ | 2 | w | 2509 |
| τριγώνῳ | 4 | w | 2516 |
| Ἐκβεβλήσθω | 2 | w | 2527 |
| γὰρ | 7 | w | 2530 |
| ἡ | 19 | w | 2531 |
| ΑΔ | 6 | w | 2533 |
| ἐφʼ | 2 | w | 2536 |
| ἑκάτερα | 2 | w | 2543 |
| τὰ | 30 | w | 2545 |
| μέρη | 3 | w | 2549 |
| ἐπὶ | 14 | w | 2552 |
| τὰ | 31 | w | 2554 |
| Η | 13 | w | 2555 |
| θ | 8 | w | 2557 |
| καὶ | 31 | w | 2561 |
| διὰ | 5 | w | 2564 |
| μὲν | 3 | w | 2567 |
| τοῦ | 5 | w | 2570 |
| Β | 58 | w | 2571 |
| τῇ | 14 | w | 2573 |
| ΓΑ | 4 | w | 2575 |
| παράλληλος | 3 | w | 2585 |
| ἤχθω | 3 | w | 2589 |
| ἡ | 20 | w | 2590 |
| ΒΗ | 3 | w | 2592 |
| διὰ | 6 | w | 2596 |
| δὲ | 7 | w | 2598 |
| τοῦ | 6 | w | 2601 |
| Ζ | 29 | w | 2602 |
| τῇ | 15 | w | 2604 |
| ΔΕ | 4 | w | 2606 |
| παράλληλος | 4 | w | 2616 |
| ἤχθω | 4 | w | 2620 |
| ἡ | 21 | w | 2621 |
| ΖΘ | 1 | w | 2623 |
| παραλληλόγραμμον | 6 | w | 2640 |
| ἄρα | 13 | w | 2643 |
| ἐστὶν | 6 | w | 2648 |
| ἑκάτερον | 2 | w | 2656 |
| τῶν | 5 | w | 2659 |
| ΗΒΓΑ | 1 | w | 2663 |
| ΔΕΖΘ | 1 | w | 2668 |
| καὶ | 32 | w | 2672 |
| ἴσον | 12 | w | 2676 |
| τὸ | 20 | w | 2678 |
| ΗΒΓΑ | 2 | w | 2682 |
| τῷ | 16 | w | 2684 |
| ΔΕΖΘ | 2 | w | 2688 |
| ἐπί | 2 | w | 2692 |
| τε | 11 | w | 2694 |
| γὰρ | 8 | w | 2697 |
| ἴσων | 7 | w | 2701 |
| βάσεών | 1 | w | 2707 |
| εἰσι | 5 | w | 2711 |
| τῶν | 6 | w | 2714 |
| ΒΓ | 45 | w | 2716 |
| ΕΖ | 13 | w | 2719 |
| καὶ | 33 | w | 2722 |
| ἐν | 15 | w | 2724 |
| ταῖς | 34 | w | 2728 |
| αὐταῖς | 14 | w | 2734 |
| παραλλήλοις | 14 | w | 2745 |
| ταῖς | 36 | w | 2749 |
| ΒΖ | 2 | w | 2751 |
| ΗΘ | 5 | w | 2754 |
| καί | 4 | w | 2758 |
| ἐστι | 12 | w | 2762 |
| τοῦ | 7 | w | 2765 |
| μὲν | 4 | w | 2768 |
| ΗΒΓΑ | 3 | w | 2772 |
| παραλληλογράμμου | 3 | w | 2788 |
| ἥμισυ | 3 | w | 2793 |
| τὸ | 21 | w | 2795 |
| ΑΒΓ | 15 | w | 2798 |
| τρίγωνον | 8 | w | 2806 |
| ἡ | 22 | w | 2808 |
| γὰρ | 9 | w | 2811 |
| ΑΒ | 22 | w | 2813 |
| διάμετρος | 3 | w | 2822 |
| αὐτὸ | 3 | w | 2826 |
| δίχα | 3 | w | 2830 |
| τέμνει | 3 | w | 2836 |
| τοῦ | 8 | w | 2840 |
| δὲ | 8 | w | 2842 |
| ΔΕΖΘ | 3 | w | 2846 |
| παραλληλογράμμου | 4 | w | 2862 |
| ἥμισυ | 4 | w | 2867 |
| τὸ | 23 | w | 2869 |
| ΖΕΔ | 1 | w | 2872 |
| τρίγωνον | 9 | w | 2880 |
| ἡ | 23 | w | 2882 |
| γὰρ | 10 | w | 2885 |
| ΔΖ | 3 | w | 2887 |
| διάμετρος | 4 | w | 2896 |
| αὐτὸ | 4 | w | 2900 |
| δίχα | 4 | w | 2904 |
| τέμνει | 4 | w | 2910 |
| τὰ | 32 | w | 2913 |
| δὲ | 9 | w | 2915 |
| τῶν | 7 | w | 2918 |
| ἴσων | 8 | w | 2922 |
| ἡμίση | 2 | w | 2927 |
| ἴσα | 14 | w | 2930 |
| ἀλλήλοις | 9 | w | 2938 |
| ἐστίν | 11 | w | 2943 |
| ἴσον | 13 | w | 2948 |
| ἄρα | 14 | w | 2951 |
| ἐστὶ | 13 | w | 2955 |
| τὸ | 25 | w | 2957 |
| ΑΒΓ | 16 | w | 2960 |
| τρίγωνον | 10 | w | 2968 |
| τῷ | 17 | w | 2970 |
| ΔΕΖ | 6 | w | 2973 |
| τριγώνῳ | 5 | w | 2980 |
| τὰ | 33 | w | 2983 |
| ἄρα | 15 | w | 2986 |
| τρίγωνα | 6 | w | 2993 |
| τὰ | 34 | w | 2995 |
| ἐπὶ | 15 | w | 2998 |
| ἴσων | 9 | w | 3002 |
| βάσεων | 6 | w | 3008 |
| ὄντα | 9 | w | 3012 |
| καὶ | 34 | w | 3015 |
| ἐν | 16 | w | 3017 |
| ταῖς | 37 | w | 3021 |
| αὐταῖς | 15 | w | 3027 |
| παραλλήλοις | 15 | w | 3038 |
| ἴσα | 15 | w | 3041 |
| ἀλλήλοις | 10 | w | 3049 |
| ἐστίν | 12 | w | 3054 |
| ὅπερ | 4 | w | 3059 |
| ἔδει | 4 | w | 3063 |
| δεῖξαι | 4 | w | 3069 |
| τὰ | 35 | w | 3072 |
| ἴσα | 16 | w | 3075 |
| τρίγωνα | 7 | w | 3082 |
| τὰ | 36 | w | 3084 |
| ἐπὶ | 16 | w | 3087 |
| τῆς | 18 | w | 3090 |
| αὐτῆς | 8 | w | 3095 |
| βάσεως | 7 | w | 3101 |
| ὄντα | 10 | w | 3105 |
| καὶ | 35 | w | 3108 |
| ἐπὶ | 17 | w | 3111 |
| τὰ | 37 | w | 3113 |
| αὐτὰ | 5 | w | 3117 |
| μέρη | 4 | w | 3121 |
| καὶ | 36 | w | 3124 |
| ἐν | 17 | w | 3126 |
| ταῖς | 39 | w | 3130 |
| αὐταῖς | 16 | w | 3136 |
| παραλλήλοις | 16 | w | 3147 |
| ἐστίν | 13 | w | 3152 |
| ἔστω | 5 | w | 3157 |
| ἴσα | 17 | w | 3160 |
| τρίγωνα | 8 | w | 3167 |
| τὰ | 39 | w | 3169 |
| ΑΒΓ | 17 | w | 3172 |
| ΔΒΓ | 7 | w | 3176 |
| ἐπὶ | 18 | w | 3179 |
| τῆς | 20 | w | 3182 |
| αὐτῆς | 9 | w | 3187 |
| βάσεως | 8 | w | 3193 |
| ὄντα | 11 | w | 3197 |
| καὶ | 37 | w | 3200 |
| ἐπὶ | 19 | w | 3203 |
| τὰ | 40 | w | 3205 |
| αὐτὰ | 6 | w | 3209 |
| μέρη | 5 | w | 3213 |
| τῆς | 22 | w | 3216 |
| ΒΓ | 51 | w | 3218 |
| λέγω | 5 | w | 3223 |
| ὅτι | 5 | w | 3227 |
| καὶ | 38 | w | 3230 |
| ἐν | 18 | w | 3232 |
| ταῖς | 41 | w | 3236 |
| αὐταῖς | 17 | w | 3242 |
| παραλλήλοις | 17 | w | 3253 |
| ἐστίν | 14 | w | 3258 |
| ἐπεζεύχθω | 2 | w | 3268 |
| γὰρ | 11 | w | 3271 |
| ἡ | 25 | w | 3272 |
| ΑΔ | 7 | w | 3274 |
| λέγω | 6 | w | 3279 |
| ὅτι | 6 | w | 3283 |
| παράλληλός | 1 | w | 3293 |
| ἐστιν | 10 | w | 3298 |
| ἡ | 26 | w | 3299 |
| ΑΔ | 8 | w | 3301 |
| τῇ | 16 | w | 3303 |
| ΒΓ | 52 | w | 3305 |
| εἰ | 8 | w | 3308 |
| γὰρ | 12 | w | 3311 |
| μή | 1 | w | 3313 |
| ἤχθω | 5 | w | 3318 |
| διὰ | 7 | w | 3321 |
| τοῦ | 9 | w | 3324 |
| Α | 45 | w | 3325 |
| σημείου | 1 | w | 3332 |
| τῇ | 17 | w | 3334 |
| ΒΓ | 53 | w | 3336 |
| εὐθείᾳ | 1 | w | 3342 |
| παράλληλος | 5 | w | 3352 |
| ἡ | 27 | w | 3353 |
| ΑΕ | 2 | w | 3355 |
| καὶ | 39 | w | 3359 |
| ἐπεζεύχθω | 3 | w | 3368 |
| ἡ | 28 | w | 3369 |
| ΕΓ | 1 | w | 3371 |
| ἴσον | 14 | w | 3376 |
| ἄρα | 16 | w | 3379 |
| ἐστὶ | 14 | w | 3383 |
| τὸ | 26 | w | 3385 |
| ΑΒΓ | 18 | w | 3388 |
| τρίγωνον | 11 | w | 3396 |
| τῷ | 18 | w | 3398 |
| ΕΒΓ | 8 | w | 3401 |
| τριγώνῳ | 6 | w | 3408 |
| ἐπί | 3 | w | 3412 |
| τε | 12 | w | 3414 |
| γὰρ | 13 | w | 3417 |
| τῆς | 23 | w | 3420 |
| αὐτῆς | 10 | w | 3425 |
| βάσεώς | 2 | w | 3431 |
| ἐστιν | 11 | w | 3436 |
| αὐτῷ | 4 | w | 3440 |
| τῆς | 25 | w | 3443 |
| ΒΓ | 56 | w | 3445 |
| καὶ | 40 | w | 3448 |
| ἐν | 19 | w | 3450 |
| ταῖς | 43 | w | 3454 |
| αὐταῖς | 18 | w | 3460 |
| παραλλήλοις | 18 | w | 3471 |
| ἀλλὰ | 2 | w | 3476 |
| τὸ | 27 | w | 3478 |
| ΑΒΓ | 19 | w | 3481 |
| τῷ | 20 | w | 3483 |
| ΔΒΓ | 8 | w | 3486 |
| ἐστιν | 12 | w | 3491 |
| ἴσον | 15 | w | 3495 |
| καὶ | 41 | w | 3499 |
| τὸ | 28 | w | 3501 |
| ΔΒΓ | 9 | w | 3504 |
| ἄρα | 17 | w | 3507 |
| τῷ | 21 | w | 3509 |
| ΕΒΓ | 9 | w | 3512 |
| ἴσον | 16 | w | 3516 |
| ἐστὶ | 15 | w | 3520 |
| τὸ | 29 | w | 3522 |
| μεῖζον | 1 | w | 3528 |
| τῷ | 22 | w | 3530 |
| ἐλάσσονι | 1 | w | 3538 |
| ὅπερ | 5 | w | 3543 |
| ἐστὶν | 7 | w | 3548 |
| ἀδύνατον | 1 | w | 3556 |
| οὐκ | 1 | w | 3560 |
| ἄρα | 18 | w | 3563 |
| παράλληλός | 2 | w | 3573 |
| ἐστιν | 13 | w | 3578 |
| ἡ | 29 | w | 3579 |
| ΑΕ | 3 | w | 3581 |
| τῇ | 18 | w | 3583 |
| ΒΓ | 61 | w | 3585 |
| ὁμοίως | 1 | w | 3592 |
| δὴ | 4 | w | 3594 |
| δείξομεν | 1 | w | 3602 |
| ὅτι | 7 | w | 3606 |
| οὐδʼ | 1 | w | 3610 |
| ἄλλη | 1 | w | 3614 |
| τις | 1 | w | 3617 |
| πλὴν | 1 | w | 3621 |
| τῆς | 26 | w | 3624 |
| ΑΔ | 9 | w | 3626 |
| ἡ | 30 | w | 3628 |
| ΑΔ | 10 | w | 3630 |
| ἄρα | 19 | w | 3633 |
| τῇ | 19 | w | 3635 |
| ΒΓ | 62 | w | 3637 |
| ἐστι | 17 | w | 3641 |
| παράλληλος | 6 | w | 3651 |
| τὰ | 42 | w | 3654 |
| ἄρα | 20 | w | 3657 |
| ἴσα | 18 | w | 3660 |
| τρίγωνα | 9 | w | 3667 |
| τὰ | 43 | w | 3669 |
| ἐπὶ | 20 | w | 3672 |
| τῆς | 27 | w | 3675 |
| αὐτῆς | 11 | w | 3680 |
| βάσεως | 9 | w | 3686 |
| ὄντα | 12 | w | 3690 |
| καὶ | 42 | w | 3693 |
| ἐπὶ | 21 | w | 3696 |
| τὰ | 44 | w | 3698 |
| αὐτὰ | 7 | w | 3702 |
| μέρη | 6 | w | 3706 |
| καὶ | 43 | w | 3709 |
| ἐν | 20 | w | 3711 |
| ταῖς | 45 | w | 3715 |
| αὐταῖς | 19 | w | 3721 |
| παραλλήλοις | 19 | w | 3732 |
| ἐστίν | 15 | w | 3737 |
| ὅπερ | 6 | w | 3742 |
| ἔδει | 5 | w | 3746 |
| δεῖξαι | 5 | w | 3752 |