| Refs | {'start': {'reference': '10', 'human_reference': 'Chapter 10'}, 'end': {'reference': '11', 'human_reference': 'Chapter 11'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| ι | 1 | w | 1 |
| Ὅτι | 1 | w | 5 |
| μὲν | 1 | w | 8 |
| πᾶς | 1 | w | 11 |
| κῶνος | 1 | w | 16 |
| ποτὶ | 1 | w | 20 |
| κῶνον | 1 | w | 25 |
| τὸν | 1 | w | 28 |
| συγκείμενον | 1 | w | 39 |
| ἔχει | 1 | w | 43 |
| λόγον | 1 | w | 48 |
| ἔκ | 1 | w | 50 |
| τε | 1 | w | 52 |
| τοῦ | 1 | w | 55 |
| τῶν | 1 | w | 58 |
| βάσιων | 1 | w | 64 |
| λόγου | 1 | w | 69 |
| καὶ | 1 | w | 72 |
| ἐκ | 1 | w | 74 |
| τοῦ | 2 | w | 77 |
| τῶν | 2 | w | 80 |
| ὑψέων | 1 | w | 85 |
| ἀποδείκνυται | 1 | w | 97 |
| ὑπὸ | 1 | w | 100 |
| τῶν | 3 | w | 103 |
| πρότερον | 1 | w | 111 |
| ἁ | 1 | w | 113 |
| αὐτὰ | 1 | w | 117 |
| δὲ | 1 | w | 119 |
| ἀπόδειξίς | 1 | w | 128 |
| ἐντι | 1 | w | 132 |
| καὶ | 2 | w | 135 |
| διότι | 1 | w | 140 |
| πᾶν | 1 | w | 143 |
| ἀπότμαμα | 1 | w | 151 |
| κώνου | 1 | w | 156 |
| ποτὶ | 2 | w | 160 |
| ἀπότμαμα | 2 | w | 168 |
| κώνου | 2 | w | 173 |
| τὸν | 2 | w | 176 |
| συγκείμενον | 2 | w | 187 |
| λόγον | 2 | w | 192 |
| ἔχει | 2 | w | 196 |
| ἔκ | 2 | w | 198 |
| τε | 3 | w | 200 |
| τοῦ | 3 | w | 203 |
| τῶν | 4 | w | 206 |
| βάσιων | 2 | w | 212 |
| λόγου | 2 | w | 217 |
| καὶ | 3 | w | 220 |
| ἐκ | 2 | w | 222 |
| τοῦ | 4 | w | 225 |
| τῶν | 5 | w | 228 |
| ὑψέων | 2 | w | 233 |
| Καὶ | 1 | w | 237 |
| ὅτι | 1 | w | 240 |
| πᾶς | 2 | w | 243 |
| τόμος | 1 | w | 248 |
| κυλίνδρου | 1 | w | 257 |
| τριπλασίων | 1 | w | 267 |
| ἐστὶ | 1 | w | 271 |
| τοῦ | 5 | w | 274 |
| ἀποτμάματος | 1 | w | 285 |
| τοῦ | 6 | w | 288 |
| κώνου | 3 | w | 293 |
| τοῦ | 7 | w | 296 |
| βάσιν | 1 | w | 301 |
| ἔχοντος | 1 | w | 308 |
| τὰν | 1 | w | 311 |
| αὐτὰν | 1 | w | 316 |
| τῷ | 1 | w | 318 |
| τόμῳ | 1 | w | 322 |
| καὶ | 4 | w | 325 |
| ὕψος | 1 | w | 329 |
| ἴσον | 1 | w | 333 |
| ἁ | 2 | w | 335 |
| αὐτὰ | 3 | w | 339 |
| ἀπόδειξις | 1 | w | 348 |
| ἅπερ | 1 | w | 353 |
| καὶ | 5 | w | 356 |
| ὅτι | 2 | w | 359 |
| ὁ | 1 | w | 360 |
| κύλινδρος | 1 | w | 369 |
| τριπλάσιός | 1 | w | 379 |
| ἐστι | 1 | w | 383 |
| τοῦ | 8 | w | 386 |
| κώνου | 4 | w | 391 |
| τοῦ | 9 | w | 394 |
| βάσιν | 2 | w | 399 |
| ἔχοντος | 2 | w | 406 |
| τὰν | 3 | w | 409 |
| αὐτὰν | 2 | w | 414 |
| τῷ | 2 | w | 416 |
| κυλίνδρῳ | 1 | w | 424 |
| καὶ | 6 | w | 427 |
| ὕψος | 2 | w | 431 |
| ἴσον | 2 | w | 435 |
| ια | 1 | w | 438 |
| Εἴ | 1 | w | 441 |
| κα | 7 | w | 443 |
| τὸ | 3 | w | 445 |
| ὀρθογώνιον | 1 | w | 455 |
| κωνοειδὲς | 1 | w | 464 |
| ἐπιπέδῳ | 1 | w | 471 |
| τμαθῇ | 1 | w | 476 |
| διὰ | 1 | w | 479 |
| τοῦ | 10 | w | 482 |
| ἄξονος | 1 | w | 488 |
| ἢ | 1 | w | 489 |
| παρὰ | 1 | w | 493 |
| τὸν | 3 | w | 496 |
| ἄξονα | 1 | w | 501 |
| ἁ | 3 | w | 503 |
| τομὰ | 1 | w | 507 |
| ἐσσεῖται | 1 | w | 515 |
| ὀρθογωνίου | 1 | w | 525 |
| κώνου | 5 | w | 530 |
| τομὰ | 2 | w | 534 |
| ἁ | 4 | w | 535 |
| αὐτὰ | 5 | w | 539 |
| τᾷ | 1 | w | 541 |
| περιλαμβανούσᾳ | 1 | w | 555 |
| τὸ | 5 | w | 557 |
| σχῆμα | 1 | w | 562 |
| διάμετρος | 1 | w | 572 |
| δὲ | 3 | w | 574 |
| αὐτᾶς | 1 | w | 579 |
| ἐσσεῖται | 2 | w | 587 |
| ἁ | 5 | w | 588 |
| κοινὰ | 1 | w | 593 |
| τομὰ | 3 | w | 597 |
| τῶν | 6 | w | 600 |
| ἐπιπέδων | 1 | w | 608 |
| τοῦ | 11 | w | 611 |
| τέμνοντος | 1 | w | 620 |
| τὸ | 6 | w | 622 |
| σχῆμα | 2 | w | 627 |
| καὶ | 7 | w | 630 |
| τοῦ | 12 | w | 633 |
| διὰ | 2 | w | 636 |
| τοῦ | 13 | w | 639 |
| ἄξονος | 2 | w | 645 |
| ἀχθέντος | 1 | w | 653 |
| ὀρθοῦ | 1 | w | 658 |
| ποτὶ | 3 | w | 662 |
| τὸ | 7 | w | 664 |
| ἐπίπεδον | 1 | w | 672 |
| τὸ | 8 | w | 674 |
| τέμνον | 2 | w | 680 |
| Εἰ | 1 | w | 683 |
| δέ | 1 | w | 685 |
| κα | 9 | w | 687 |
| τμαθῇ | 2 | w | 692 |
| τῷ | 3 | w | 694 |
| ἐπιπέδῳ | 2 | w | 701 |
| ὀρθῷ | 1 | w | 705 |
| ποτὶ | 4 | w | 709 |
| τὸν | 4 | w | 712 |
| ἄξονα | 2 | w | 717 |
| ἁ | 6 | w | 719 |
| τομὰ | 4 | w | 723 |
| κύκλος | 1 | w | 729 |
| ἐσσεῖται | 3 | w | 737 |
| τὸ | 10 | w | 739 |
| κέντρον | 1 | w | 746 |
| ἔχων | 1 | w | 750 |
| ἐπὶ | 1 | w | 753 |
| τοῦ | 14 | w | 756 |
| ἄξονος | 3 | w | 762 |
| Εἴ | 2 | w | 765 |
| κα | 10 | w | 767 |
| τὸ | 11 | w | 769 |
| ἀμβλυγώνιον | 1 | w | 780 |
| κωνοειδὲς | 2 | w | 789 |
| ἐπιπέδῳ | 3 | w | 796 |
| τμαθῇ | 3 | w | 801 |
| διὰ | 3 | w | 804 |
| τοῦ | 15 | w | 807 |
| ἄξονος | 4 | w | 813 |
| ἢ | 2 | w | 814 |
| παρὰ | 2 | w | 818 |
| τὸν | 5 | w | 821 |
| ἄξονα | 3 | w | 826 |
| ἢ | 3 | w | 827 |
| διὰ | 4 | w | 830 |
| τᾶς | 2 | w | 833 |
| κορυφᾶς | 1 | w | 840 |
| τοῦ | 16 | w | 843 |
| κώνου | 6 | w | 848 |
| τοῦ | 17 | w | 851 |
| περιέχοντος | 1 | w | 862 |
| τὸ | 13 | w | 864 |
| κωνοειδές | 1 | w | 873 |
| ἁ | 7 | w | 875 |
| τομὰ | 5 | w | 879 |
| ἐσσεῖται | 4 | w | 887 |
| ἀμβλυγωνίου | 1 | w | 898 |
| κώνου | 7 | w | 903 |
| τομά | 1 | w | 907 |
| εἰ | 1 | w | 910 |
| μέν | 1 | w | 913 |
| κα | 11 | w | 915 |
| διὰ | 5 | w | 918 |
| τοῦ | 18 | w | 921 |
| ἄξονος | 5 | w | 927 |
| ἁ | 8 | w | 929 |
| αὐτὰ | 6 | w | 933 |
| τᾷ | 2 | w | 935 |
| περιλαμβανούσᾳ | 2 | w | 949 |
| τὸ | 14 | w | 951 |
| σχῆμα | 3 | w | 956 |
| εἰ | 2 | w | 959 |
| δέ | 3 | w | 961 |
| κα | 12 | w | 963 |
| παρὰ | 3 | w | 967 |
| τὸν | 6 | w | 970 |
| ἄξονα | 4 | w | 975 |
| ὁμοία | 1 | w | 981 |
| αὐτᾷ | 1 | w | 985 |
| εἰ | 3 | w | 988 |
| δέ | 4 | w | 990 |
| κα | 13 | w | 992 |
| διὰ | 6 | w | 995 |
| τᾶς | 3 | w | 998 |
| κορυφᾶς | 2 | w | 1005 |
| τοῦ | 19 | w | 1008 |
| κώνου | 8 | w | 1013 |
| τοῦ | 20 | w | 1016 |
| περιέχοντος | 2 | w | 1027 |
| τὸ | 16 | w | 1029 |
| κωνοειδές | 2 | w | 1038 |
| οὐχ | 1 | w | 1042 |
| ὁμοία | 2 | w | 1047 |
| διάμετρος | 2 | w | 1057 |
| δὲ | 5 | w | 1059 |
| τᾶς | 4 | w | 1062 |
| τομᾶς | 1 | w | 1067 |
| ἐσσεῖται | 5 | w | 1075 |
| ἁ | 9 | w | 1076 |
| κοινὰ | 2 | w | 1081 |
| τομὰ | 6 | w | 1085 |
| τῶν | 7 | w | 1088 |
| ἐπιπέδων | 2 | w | 1096 |
| τοῦ | 21 | w | 1099 |
| τέμνοντος | 2 | w | 1108 |
| τὸ | 17 | w | 1110 |
| σχῆμα | 4 | w | 1115 |
| καὶ | 8 | w | 1118 |
| τοῦ | 22 | w | 1121 |
| ἀχθέντος | 2 | w | 1129 |
| διὰ | 7 | w | 1132 |
| τοῦ | 23 | w | 1135 |
| ἄξονος | 6 | w | 1141 |
| ὀρθοῦ | 2 | w | 1146 |
| ποτὶ | 5 | w | 1150 |
| τὸ | 18 | w | 1152 |
| τέμνον | 4 | w | 1158 |
| ἐπίπεδον | 2 | w | 1166 |
| Εἰ | 2 | w | 1169 |
| δέ | 6 | w | 1171 |
| κα | 15 | w | 1173 |
| τμαθῇ | 4 | w | 1178 |
| ὀρθῷ | 2 | w | 1182 |
| τῷ | 4 | w | 1184 |
| ἐπιπέδῳ | 4 | w | 1191 |
| ποτὶ | 6 | w | 1195 |
| τὸν | 7 | w | 1198 |
| ἄξονα | 5 | w | 1203 |
| ἁ | 10 | w | 1205 |
| τομὰ | 7 | w | 1209 |
| κύκλος | 2 | w | 1215 |
| ἐσσεῖται | 6 | w | 1223 |
| τὸ | 20 | w | 1225 |
| κέντρον | 2 | w | 1232 |
| ἔχων | 2 | w | 1236 |
| ἐπὶ | 2 | w | 1239 |
| τοῦ | 24 | w | 1242 |
| ἄξονος | 7 | w | 1248 |
| Εἴ | 3 | w | 1251 |
| κα | 16 | w | 1253 |
| τῶν | 8 | w | 1256 |
| σφαιροειδέων | 1 | w | 1268 |
| σχημάτων | 1 | w | 1276 |
| ὁποτερονοῦν | 1 | w | 1287 |
| ἐπιπέδῳ | 5 | w | 1294 |
| τμαθῇ | 5 | w | 1299 |
| διὰ | 8 | w | 1302 |
| τοῦ | 25 | w | 1305 |
| ἄξονος | 8 | w | 1311 |
| ἢ | 4 | w | 1312 |
| παρὰ | 4 | w | 1316 |
| τὸν | 8 | w | 1319 |
| ἄξονα | 6 | w | 1324 |
| ἁ | 11 | w | 1326 |
| τομὰ | 8 | w | 1330 |
| ἐσσεῖται | 7 | w | 1338 |
| ὀξυγωνίου | 1 | w | 1347 |
| κώνου | 9 | w | 1352 |
| τομά | 2 | w | 1356 |
| εἰ | 4 | w | 1359 |
| μέν | 2 | w | 1362 |
| κα | 17 | w | 1364 |
| διὰ | 9 | w | 1367 |
| τοῦ | 26 | w | 1370 |
| ἄξονος | 9 | w | 1376 |
| αὐτὰ | 7 | w | 1381 |
| ἁ | 12 | w | 1382 |
| περιλαμβάνουσα | 1 | w | 1396 |
| τὸ | 22 | w | 1398 |
| σχῆμα | 5 | w | 1403 |
| εἰ | 5 | w | 1406 |
| δέ | 8 | w | 1408 |
| κα | 18 | w | 1410 |
| παρὰ | 5 | w | 1414 |
| τὸν | 9 | w | 1417 |
| ἄξονα | 7 | w | 1422 |
| ὁμοία | 3 | w | 1428 |
| αὐτᾷ | 2 | w | 1432 |
| διάμετρος | 3 | w | 1442 |
| δὲ | 6 | w | 1444 |
| τᾶς | 5 | w | 1447 |
| τομᾶς | 2 | w | 1452 |
| ἐσσεῖται | 8 | w | 1460 |
| ἁ | 13 | w | 1461 |
| κοινὰ | 3 | w | 1466 |
| τομὰ | 9 | w | 1470 |
| τῶν | 9 | w | 1473 |
| ἐπιπέδων | 3 | w | 1481 |
| τοῦ | 27 | w | 1484 |
| τέμνοντος | 3 | w | 1493 |
| τὸ | 24 | w | 1495 |
| σχῆμα | 6 | w | 1500 |
| καὶ | 9 | w | 1503 |
| τοῦ | 28 | w | 1506 |
| ἀχθέντος | 3 | w | 1514 |
| διὰ | 10 | w | 1517 |
| τοῦ | 29 | w | 1520 |
| ἄξονος | 10 | w | 1526 |
| ὀρθοῦ | 3 | w | 1531 |
| ποτὶ | 7 | w | 1535 |
| τὸ | 25 | w | 1537 |
| τέμνον | 6 | w | 1543 |
| ἐπίπεδον | 3 | w | 1551 |
| Εἰ | 3 | w | 1554 |
| δέ | 9 | w | 1556 |
| κα | 20 | w | 1558 |
| τμαθῇ | 6 | w | 1563 |
| τῷ | 5 | w | 1565 |
| ἐπιπέδῳ | 6 | w | 1572 |
| ὀρθῷ | 3 | w | 1576 |
| ποτὶ | 8 | w | 1580 |
| τὸν | 10 | w | 1583 |
| ἄξονα | 8 | w | 1588 |
| ἁ | 14 | w | 1590 |
| τομὰ | 10 | w | 1594 |
| κύκλος | 3 | w | 1600 |
| ἐσσεῖται | 9 | w | 1608 |
| τὸ | 27 | w | 1610 |
| κέντρον | 3 | w | 1617 |
| ἔχων | 3 | w | 1621 |
| ἐπὶ | 3 | w | 1624 |
| τοῦ | 30 | w | 1627 |
| ἄξονος | 11 | w | 1633 |
| Εἴ | 4 | w | 1636 |
| κα | 21 | w | 1638 |
| τῶν | 10 | w | 1641 |
| εἰρημένων | 1 | w | 1650 |
| σχημάτων | 2 | w | 1658 |
| ὁποιονοῦν | 1 | w | 1667 |
| ἐπιπέδῳ | 7 | w | 1674 |
| τμαθῇ | 7 | w | 1679 |
| διὰ | 11 | w | 1682 |
| τοῦ | 31 | w | 1685 |
| ἄξονος | 12 | w | 1691 |
| αἱ | 1 | w | 1694 |
| ἀπὸ | 1 | w | 1697 |
| τῶν | 11 | w | 1700 |
| σαμείων | 1 | w | 1707 |
| τῶν | 12 | w | 1710 |
| ἐν | 2 | w | 1712 |
| τᾷ | 5 | w | 1714 |
| ἐπιφανείᾳ | 1 | w | 1723 |
| τοῦ | 32 | w | 1726 |
| σχήματος | 1 | w | 1734 |
| μὴ | 1 | w | 1736 |
| ἐπὶ | 4 | w | 1739 |
| τᾶς | 6 | w | 1742 |
| τομᾶς | 3 | w | 1747 |
| ἐόντων | 1 | w | 1753 |
| κάθετοι | 1 | w | 1760 |
| ἀγόμεναι | 1 | w | 1768 |
| ἐπὶ | 5 | w | 1771 |
| τὸ | 28 | w | 1773 |
| τέμνον | 7 | w | 1779 |
| ἐπίπεδον | 4 | w | 1787 |
| ἐντὸς | 1 | w | 1792 |
| πεσοῦνται | 1 | w | 1801 |
| τᾶς | 7 | w | 1804 |
| τοῦ | 33 | w | 1807 |
| σχήματος | 2 | w | 1815 |
| τομᾶς | 4 | w | 1820 |
| Τούτων | 1 | w | 1827 |
| δὲ | 7 | w | 1829 |
| πάντων | 1 | w | 1835 |
| φανεραί | 1 | w | 1842 |
| ἐντι | 2 | w | 1846 |
| αἱ | 2 | w | 1848 |
| ἀποδείξιες | 1 | w | 1858 |