| Refs | {'start': {'reference': '3.108', 'human_reference': 'Book 3 Section 108'}, 'end': {'reference': '3.112', 'human_reference': 'Book 3 Section 112'}} |
|---|---|
| Ancestors | [{'reference': '3'}] |
| Children | [] |
| Ἀλλ | 1 | w | 3 |
| ἵνα | 1 | w | 6 |
| μὴ | 1 | w | 8 |
| δοκῶμεν | 1 | w | 15 |
| σοφιστικοί | 1 | w | 25 |
| τινες | 1 | w | 30 |
| εἶναι | 1 | w | 35 |
| καὶ | 1 | w | 38 |
| τὴν | 1 | w | 41 |
| σύμπασαν | 1 | w | 49 |
| τῆς | 1 | w | 52 |
| ἀντιρρήσεως | 1 | w | 63 |
| κατασκευὴν | 1 | w | 73 |
| ἐν | 1 | w | 75 |
| μόνας | 1 | w | 80 |
| καταν- | 1 | w | 86 |
| αλίσκειν | 1 | w | 94 |
| ταῖς | 1 | w | 98 |
| τῆς | 2 | w | 101 |
| γεωμετρίας | 1 | w | 111 |
| ἀρχαῖς | 1 | w | 117 |
| φέρε | 1 | w | 122 |
| μετελθόντες | 1 | w | 133 |
| ὡς | 1 | w | 136 |
| πρότερον | 1 | w | 144 |
| 93 | 1 | w | 148 |
| ὑπεσχόμεθα | 1 | w | 159 |
| καὶ | 2 | w | 163 |
| τὰ | 1 | w | 165 |
| μετὰ | 1 | w | 169 |
| τὰς | 1 | w | 172 |
| ἀρχὰς | 1 | w | 177 |
| αὐτῶν | 1 | w | 182 |
| θεωρήματα | 1 | w | 191 |
| ἐπισκεψώμεθα | 1 | w | 203 |
| ὅταν | 1 | w | 208 |
| οὖν | 1 | w | 211 |
| λέγωσι | 1 | w | 217 |
| τὴν | 2 | w | 220 |
| δοθεῖσαν | 1 | w | 228 |
| εὐθεῖαν | 1 | w | 235 |
| δίχα | 1 | w | 239 |
| τεμεῖν | 1 | w | 245 |
| ἤτοι | 1 | w | 250 |
| τὴν | 3 | w | 253 |
| ἐπὶ | 1 | w | 256 |
| τοῦ | 1 | w | 259 |
| ἄβακος | 1 | w | 265 |
| διδομένην | 1 | w | 274 |
| λέγουσι | 1 | w | 281 |
| διχοτομεῖν | 1 | w | 291 |
| ἢ | 1 | w | 292 |
| τὴν | 4 | w | 295 |
| ἀπὸ | 1 | w | 298 |
| ταύτης | 1 | w | 304 |
| κατὰ | 1 | w | 308 |
| 107 | 1 | w | 312 |
| M | 1 | w | 313 |
| IX | 1 | w | 315 |
| 284 | 1 | w | 318 |
| κύκλος | 1 | w | 324 |
| ἐστὶ | 1 | w | 328 |
| Eucl | 1 | w | 332 |
| el | 1 | w | 335 |
| I | 2 | w | 337 |
| def | 1 | w | 340 |
| 15 | 1 | w | 343 |
| 109 | 1 | w | 346 |
| M | 2 | w | 347 |
| 1X | 1 | w | 349 |
| 282 | 1 | w | 352 |
| δίχα | 2 | w | 356 |
| τεμεῖν | 2 | w | 362 |
| Eucl | 2 | w | 366 |
| el | 2 | w | 369 |
| l | 5 | w | 371 |
| prop | 1 | w | 375 |
| 10 | 3 | w | 378 |
| 14 | 1 | w | 380 |
| ἀπʼ | 1 | w | 383 |
| AB | 1 | w | 385 |
| 15 | 2 | w | 387 |
| οὐ | 1 | w | 389 |
| del | 1 | w | 392 |
| Fabr | 1 | w | 397 |
| 21 | 1 | w | 400 |
| ματάζοντες | 1 | w | 410 |
| ELVr | 1 | w | 414 |
| et | 1 | w | 416 |
| cod | 1 | w | 419 |
| editorum | 1 | w | 428 |
| Gen | 1 | w | 431 |
| in | 1 | w | 434 |
| marg | 1 | w | 438 |
| 23 | 1 | w | 441 |
| Harder | 1 | w | 449 |
| Bekk | 1 | w | 456 |
| 31 | 1 | w | 459 |
| δεδομέ- | 1 | w | 466 |
| νην | 2 | w | 469 |
| AB | 2 | w | 471 |
| Fabr | 2 | w | 475 |
| Gen | 2 | w | 479 |
| μετάβασιν | 1 | w | 489 |
| νοουμένην | 1 | w | 498 |
| οὔτε | 1 | w | 503 |
| δὲ | 1 | w | 505 |
| τὴν | 5 | w | 508 |
| ἐπὶ | 2 | w | 511 |
| τοῦ | 2 | w | 514 |
| ἄβακος | 2 | w | 520 |
| δοθεῖ- | 1 | w | 526 |
| σαν | 3 | w | 529 |
| διχοτομεῖν | 2 | w | 539 |
| ἐροῦσιν | 1 | w | 546 |
| αὕτη | 1 | w | 551 |
| μὲν | 1 | w | 554 |
| γὰρ | 1 | w | 557 |
| μῆκος | 1 | w | 562 |
| καὶ | 3 | w | 565 |
| πλάτος | 1 | w | 571 |
| αἰσθητὸν | 1 | w | 579 |
| ἔχειν | 1 | w | 584 |
| φαίνεται | 1 | w | 592 |
| ἡ | 1 | w | 594 |
| δὲ | 2 | w | 596 |
| κατ | 4 | w | 599 |
| αὐτοὺς | 1 | w | 605 |
| εὐθεῖα | 2 | w | 611 |
| γραμμὴ | 1 | w | 617 |
| μῆκός | 1 | w | 622 |
| ἐστιν | 1 | w | 627 |
| ἀπλατές | 1 | w | 634 |
| ὥστε | 1 | w | 639 |
| μὴ | 3 | w | 641 |
| οὖσα | 1 | w | 645 |
| κατ | 5 | w | 648 |
| αὐτοὺς | 2 | w | 654 |
| ἡ | 2 | w | 656 |
| γραμμὴ | 2 | w | 663 |
| ἡ | 3 | w | 664 |
| ἐπὶ | 3 | w | 667 |
| τοῦ | 3 | w | 670 |
| ἄβακος | 3 | w | 676 |
| οὐδὲ | 1 | w | 680 |
| δίχα | 3 | w | 684 |
| τμηθήσεταμι | 1 | w | 695 |
| ὡς | 2 | w | 697 |
| γραμμή | 1 | w | 703 |
| καὶ | 4 | w | 707 |
| μὴν | 1 | w | 710 |
| οὐδὲ | 2 | w | 714 |
| ἡ | 4 | w | 715 |
| ἀπὸ | 2 | w | 718 |
| ταύτης | 2 | w | 724 |
| κατὰ | 2 | w | 728 |
| μετάβασιν | 2 | w | 737 |
| νοουμένη | 2 | w | 745 |
| ὑποκείσθω | 1 | w | 755 |
| γὰρ | 2 | w | 758 |
| λόγου | 1 | w | 763 |
| χάριν | 1 | w | 768 |
| ἐξ | 1 | w | 770 |
| ἐννέα | 1 | w | 775 |
| στιγμῶν | 1 | w | 782 |
| συνεστῶσα | 1 | w | 791 |
| ἀφʼ | 1 | w | 795 |
| ἑκατέρου | 1 | w | 803 |
| μὲν | 2 | w | 806 |
| τῶν | 2 | w | 809 |
| ἄκρων | 1 | w | 814 |
| τεσσάρων | 1 | w | 822 |
| καὶ | 5 | w | 825 |
| τεσσάρων | 2 | w | 833 |
| ἀριθμουμέτων | 1 | w | 845 |
| μιᾶς | 1 | w | 850 |
| δὲ | 5 | w | 852 |
| τὰς | 2 | w | 855 |
| δύο | 1 | w | 858 |
| τετράδας | 1 | w | 866 |
| μεσο- | 1 | w | 871 |
| λαβούσης | 1 | w | 879 |
| στιγμῆς | 1 | w | 886 |
| οὐκοῦν | 1 | w | 893 |
| εἰ | 1 | w | 895 |
| δίχα | 4 | w | 899 |
| τέμνεται | 1 | w | 907 |
| ἡ | 5 | w | 908 |
| ὅλη | 1 | w | 911 |
| γραμμή | 2 | w | 917 |
| ἤτοι | 2 | w | 922 |
| μεταξὺ | 1 | w | 928 |
| ταύτης | 3 | w | 934 |
| τῆς | 3 | w | 937 |
| πέμπτης | 1 | w | 944 |
| στιγμῆς | 2 | w | 951 |
| καὶ | 6 | w | 954 |
| τῆς | 4 | w | 957 |
| ἑτέρας | 1 | w | 963 |
| τετράδος | 1 | w | 971 |
| ἐνεχθήσεται | 1 | w | 982 |
| τὸ | 2 | w | 984 |
| τέμνον | 1 | w | 990 |
| ἢ | 2 | w | 992 |
| κατ | 8 | w | 995 |
| αὐτῆς | 1 | w | 1000 |
| τῆς | 6 | w | 1003 |
| πέμ- | 1 | w | 1007 |
| πτης | 2 | w | 1011 |
| ὥστε | 2 | w | 1016 |
| καὶ | 7 | w | 1019 |
| αὐτὴν | 1 | w | 1024 |
| διχάζειν | 1 | w | 1032 |
| τὸ | 3 | w | 1035 |
| μὲν | 3 | w | 1038 |
| οὖν | 2 | w | 1041 |
| μεταξὺ | 2 | w | 1047 |
| τῆς | 7 | w | 1050 |
| πέμπτης | 2 | w | 1057 |
| στιγμῆς | 3 | w | 1064 |
| καὶ | 8 | w | 1067 |
| τῆς | 8 | w | 1070 |
| ἑτέρας | 2 | w | 1076 |
| τετράδος | 2 | w | 1084 |
| φέρεσθαι | 1 | w | 1092 |
| τὸ | 4 | w | 1094 |
| τέμνον | 2 | w | 1100 |
| τῶν | 3 | w | 1103 |
| ἀλόγων | 1 | w | 1109 |
| γενήσεται | 1 | w | 1119 |
| γὰρ | 3 | w | 1122 |
| ἄνισα | 1 | w | 1127 |
| τὰ | 7 | w | 1129 |
| τμήματα | 1 | w | 1136 |
| καὶ | 9 | w | 1140 |
| τὸ | 5 | w | 1142 |
| μὲν | 4 | w | 1145 |
| ἐκ | 1 | w | 1147 |
| τεσσάρων | 3 | w | 1155 |
| στιγμῶν | 2 | w | 1162 |
| συγκείμενον | 1 | w | 1173 |
| τὸ | 6 | w | 1175 |
| δὲ | 6 | w | 1177 |
| ἐκ | 2 | w | 1179 |
| πέντε | 1 | w | 1184 |
| τὸ | 7 | w | 1187 |
| δὲ | 7 | w | 1189 |
| αὐτἦν | 1 | w | 1194 |
| διχάζειν | 2 | w | 1202 |
| τὴν | 7 | w | 1205 |
| στιγμὴν | 1 | w | 1212 |
| πολλῷ | 1 | w | 1217 |
| τοῦ | 4 | w | 1220 |
| προτέρου | 1 | w | 1228 |
| ἀλογώτερον | 1 | w | 1238 |
| οὐκέτι | 1 | w | 1244 |
| γὰρ | 4 | w | 1247 |
| ἀδιάστατον | 1 | w | 1257 |
| ἀπολεί- | 1 | w | 1264 |
| ψουσι | 1 | w | 1269 |
| τὸ | 8 | w | 1271 |
| σημεῖον | 1 | w | 1278 |
| ὅ | 3 | w | 1280 |
| γε | 3 | w | 1282 |
| διχάζεται | 1 | w | 1291 |
| πρὸς | 1 | w | 1295 |
| τοῦ | 5 | w | 1298 |
| τέμνοντος | 1 | w | 1307 |
| ὁ | 1 | w | 1309 |
| δὲ | 8 | w | 1311 |
| αὐτὸς | 1 | w | 1316 |
| λόγος | 1 | w | 1321 |
| καὶ | 10 | w | 1324 |
| ἐπειδὰν | 1 | w | 1331 |
| φῶσι | 1 | w | 1335 |
| τὸν | 2 | w | 1338 |
| κύκλον | 1 | w | 1344 |
| εἰς | 1 | w | 1347 |
| ἴσα | 1 | w | 1350 |
| τέμνειν | 1 | w | 1357 |
| εἰ | 3 | w | 1360 |
| γὰρ | 5 | w | 1363 |
| ὁ | 2 | w | 1364 |
| κύκλος | 2 | w | 1370 |
| εἰς | 2 | w | 1373 |
| ἴσα | 2 | w | 1376 |
| τέμνεται | 2 | w | 1384 |
| πάντως | 1 | w | 1391 |
| ἐπεὶ | 1 | w | 1395 |
| μεσαίτατον | 1 | w | 1405 |
| ἔχει | 2 | w | 1409 |
| τὸ | 11 | w | 1411 |
| κέντρον | 1 | w | 1418 |
| ὃ | 1 | w | 1420 |
| καὶ | 11 | w | 1423 |
| αὐτό | 1 | w | 1427 |
| ἐστι | 2 | w | 1431 |
| σημεῖον | 2 | w | 1438 |
| ἤτοι | 3 | w | 1443 |
| τῷδε | 1 | w | 1447 |
| τῷ | 2 | w | 1449 |
| τμήματι | 1 | w | 1456 |
| ἢ | 3 | w | 1457 |
| τῷδε | 2 | w | 1461 |
| τινι | 1 | w | 1466 |
| προσμερισθήσεται | 1 | w | 1483 |
| ἢ | 4 | w | 1485 |
| καὶ | 12 | w | 1488 |
| αὐτὸ | 2 | w | 1492 |
| δίχα | 5 | w | 1496 |
| τμηθήσεται | 1 | w | 1506 |
| ἀλλὰ | 1 | w | 1511 |
| τὸ | 13 | w | 1513 |
| μὲν | 5 | w | 1516 |
| τῷδε | 3 | w | 1520 |
| ἢ | 5 | w | 1521 |
| τῷδε | 4 | w | 1525 |
| προσμερισθῆναι | 1 | w | 1539 |
| ἄνισον | 1 | w | 1545 |
| τὴν | 8 | w | 1548 |
| διχοτόμησιν | 1 | w | 1559 |
| ποιεῖ | 1 | w | 1564 |
| τὸ | 14 | w | 1567 |
| δὲ | 9 | w | 1569 |
| καὶ | 13 | w | 1572 |
| αὐτὸ | 3 | w | 1576 |
| διχοτομεῖσθαι | 1 | w | 1589 |
| μαχόμενόν | 1 | w | 1598 |
| ἐστι | 3 | w | 1602 |
| τῷ | 6 | w | 1604 |
| ἀδιάστατον | 2 | w | 1614 |
| καὶ | 14 | w | 1617 |
| ἀμερές | 1 | w | 1623 |
| ὑπάρχειν | 1 | w | 1631 |
| τὸ | 16 | w | 1633 |
| σημεῖον | 3 | w | 1640 |