| Refs | {'start': {'reference': '26', 'human_reference': 'Chapter 26'}, 'end': {'reference': '28', 'human_reference': 'Chapter 28'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| κϚ | 1 | w | 2 |
| Ἐὰν | 1 | w | 6 |
| τὸ | 1 | w | 8 |
| τῶν | 1 | w | 11 |
| ὀμμάτων | 1 | w | 18 |
| διάστημα | 1 | w | 26 |
| μεῖζον | 1 | w | 32 |
| τῆς | 1 | w | 35 |
| διαμέτρου | 1 | w | 44 |
| τῆς | 2 | w | 47 |
| σφαίρας | 1 | w | 54 |
| ἡμισφαιρίου | 1 | w | 66 |
| μεῖζον | 2 | w | 72 |
| τὸ | 2 | w | 74 |
| ὁρώμενον | 1 | w | 82 |
| τῆς | 3 | w | 85 |
| σφαίρας | 2 | w | 92 |
| ὀφθήσεται | 1 | w | 101 |
| ἔστω | 1 | w | 106 |
| γὰρ | 1 | w | 109 |
| σφαῖρα | 1 | w | 115 |
| ἧς | 1 | w | 118 |
| κέντρον | 1 | w | 125 |
| τὸ | 3 | w | 127 |
| Κ | 1 | w | 128 |
| τῶν | 2 | w | 132 |
| δὲ | 1 | w | 134 |
| ὀμμάτων | 2 | w | 141 |
| διάστημα | 2 | w | 149 |
| τὸ | 4 | w | 151 |
| ΒΓ | 1 | w | 153 |
| μεῖζον | 3 | w | 159 |
| ὄν | 1 | w | 161 |
| τῆς | 4 | w | 164 |
| διαμέτρου | 2 | w | 173 |
| τῆς | 5 | w | 176 |
| σφαίρας | 3 | w | 183 |
| καὶ | 1 | w | 187 |
| διὰ | 1 | w | 190 |
| τοῦ | 1 | w | 193 |
| Κ | 2 | w | 194 |
| καὶ | 2 | w | 197 |
| τῆς | 6 | w | 200 |
| ΒΓ | 2 | w | 202 |
| ἐκβεβλήσθω | 1 | w | 212 |
| ἐπίπεδον | 1 | w | 220 |
| καὶ | 3 | w | 223 |
| ποιείτω | 1 | w | 230 |
| ἐν | 1 | w | 232 |
| τῇ | 1 | w | 234 |
| σφαίρᾳ | 1 | w | 240 |
| κύκλον | 1 | w | 246 |
| τὸν | 1 | w | 249 |
| Ζ | 1 | w | 250 |
| καὶ | 4 | w | 254 |
| προσπιπτέτωσαν | 1 | w | 268 |
| ἀκτῖνες | 1 | w | 275 |
| καθʼ | 1 | w | 279 |
| ἓν | 1 | w | 281 |
| ἁπτόμεναι | 1 | w | 290 |
| αἱ | 1 | w | 292 |
| Β | 3 | w | 293 |
| ΓΖ | 1 | w | 295 |
| οὐκοῦν | 1 | w | 302 |
| ἐκβαλλόμεναι | 1 | w | 314 |
| συμπεσοῦνται | 1 | w | 326 |
| ἀλλήλαις | 1 | w | 334 |
| ἐπειδὴ | 1 | w | 341 |
| ἡ | 2 | w | 342 |
| ΒΓ | 3 | w | 344 |
| τῆς | 7 | w | 347 |
| ἐν | 2 | w | 349 |
| τῇ | 2 | w | 351 |
| σφαίρᾳ | 2 | w | 357 |
| διαμέτρου | 3 | w | 366 |
| μείζων | 1 | w | 372 |
| ἐστί | 1 | w | 376 |
| συμπιπτέτωσαν | 1 | w | 390 |
| δὴ | 2 | w | 392 |
| κατὰ | 1 | w | 396 |
| τὸ | 6 | w | 398 |
| Θ | 1 | w | 399 |
| σημεῖον | 1 | w | 406 |
| οὐκοῦν | 2 | w | 413 |
| ἐπεὶ | 1 | w | 417 |
| ἀπὸ | 1 | w | 420 |
| τοῦ | 2 | w | 423 |
| Θ | 2 | w | 424 |
| σημείου | 1 | w | 431 |
| αἰ | 1 | w | 433 |
| ΘΖ | 1 | w | 435 |
| Θ | 4 | w | 437 |
| καθʼ | 2 | w | 441 |
| ἓν | 2 | w | 443 |
| ἐφαπτόμεναι | 1 | w | 454 |
| προσπεπτώκασιν | 1 | w | 468 |
| ἔλασσον | 1 | w | 476 |
| ἂν | 1 | w | 478 |
| εἴη | 1 | w | 481 |
| τὸ | 7 | w | 483 |
| ΖΝ | 1 | w | 485 |
| ἡμικυκλίου | 1 | w | 495 |
| αἱ | 2 | w | 498 |
| γὰρ | 2 | w | 501 |
| ΘΖΚ | 1 | w | 504 |
| Θ | 6 | w | 506 |
| Κ | 4 | w | 507 |
| γωνίαι | 1 | w | 513 |
| ὀρθαί | 1 | w | 518 |
| εἰσιν | 1 | w | 523 |
| τὸ | 8 | w | 526 |
| ἄρα | 1 | w | 529 |
| λοιπὸν | 1 | w | 535 |
| τῆς | 8 | w | 538 |
| σφαίρας | 4 | w | 545 |
| μεῖζον | 4 | w | 551 |
| ἡμισφαιρίου | 2 | w | 562 |
| ὁρᾶται | 1 | w | 568 |
| ὑπὸ | 1 | w | 571 |
| τῶν | 3 | w | 574 |
| ΒΔ | 1 | w | 576 |
| ΓΖ | 2 | w | 579 |
| κζ | 1 | w | 582 |
| Ἐὰν | 2 | w | 586 |
| τὸ | 9 | w | 588 |
| τῶν | 4 | w | 591 |
| ὀμμάτων | 3 | w | 598 |
| διάστημα | 3 | w | 606 |
| ἔλασσον | 2 | w | 613 |
| ἡ | 5 | w | 614 |
| τῆς | 9 | w | 617 |
| διαμέτρου | 4 | w | 626 |
| τῆς | 10 | w | 629 |
| σφαίρας | 5 | w | 636 |
| τὸ | 10 | w | 639 |
| ὁρώμενον | 2 | w | 647 |
| τῆς | 11 | w | 650 |
| σφαίρας | 6 | w | 657 |
| ἔλασσον | 3 | w | 664 |
| ἡμισφαιρίου | 3 | w | 675 |
| ὀφθήσεται | 2 | w | 684 |
| ἔστω | 2 | w | 689 |
| γὰρ | 3 | w | 692 |
| σφαῖρα | 2 | w | 698 |
| ἧς | 2 | w | 701 |
| κέντρον | 2 | w | 708 |
| τὸ | 11 | w | 710 |
| Κ | 5 | w | 711 |
| τῶν | 5 | w | 715 |
| δὲ | 2 | w | 717 |
| ὀμμάτων | 4 | w | 724 |
| διάστημα | 4 | w | 732 |
| τὸ | 12 | w | 734 |
| ΒΓ | 4 | w | 736 |
| ἔλαττον | 1 | w | 743 |
| ὄν | 2 | w | 745 |
| τῆς | 12 | w | 748 |
| διαμέτρου | 5 | w | 757 |
| τῆς | 13 | w | 760 |
| σφαίρας | 7 | w | 767 |
| καὶ | 5 | w | 771 |
| διὰ | 2 | w | 774 |
| τοῦ | 3 | w | 777 |
| Κ | 6 | w | 778 |
| καὶ | 6 | w | 781 |
| τῆς | 14 | w | 784 |
| ΒΓ | 5 | w | 786 |
| ἐκβεβλήσθω | 2 | w | 796 |
| ἐπίπεδον | 2 | w | 804 |
| καὶ | 7 | w | 807 |
| ποιείτω | 2 | w | 814 |
| ἐν | 3 | w | 816 |
| τῇ | 3 | w | 818 |
| σφαίρᾳ | 3 | w | 824 |
| κύκλον | 2 | w | 830 |
| τὸν | 2 | w | 833 |
| ΖΗΝ | 1 | w | 836 |
| 5 | 1 | w | 838 |
| ἡμισφαίριον | 1 | w | 850 |
| v | 1 | w | 851 |
| p | 1 | w | 853 |
| sed | 1 | w | 857 |
| corr | 1 | w | 861 |
| 10 | 1 | w | 864 |
| ποιείτο | 1 | w | 871 |
| v | 2 | w | 872 |
| 11 | 1 | w | 875 |
| ἀκτῖνος | 1 | w | 882 |
| v | 3 | w | 883 |
| sed | 2 | w | 887 |
| corr | 2 | w | 891 |
| ἕν | 1 | w | 894 |
| ὃν | 1 | w | 897 |
| σημεῖον | 2 | w | 904 |
| v | 4 | w | 905 |
| σημεῖον | 3 | w | 913 |
| add | 1 | w | 916 |
| m | 1 | w | 918 |
| rec | 1 | w | 922 |
| V | 1 | w | 924 |
| ἤχθωσαν | 1 | w | 932 |
| δὲ | 3 | w | 934 |
| ἀπὸ | 2 | w | 937 |
| τῶν | 6 | w | 940 |
| Β | 8 | w | 941 |
| Γ | 8 | w | 943 |
| ὀμμάτων | 5 | w | 950 |
| καθʼ | 3 | w | 954 |
| ἓν | 3 | w | 956 |
| ἐφαπτόμεναι | 2 | w | 967 |
| αἱ | 3 | w | 969 |
| ΒΖ | 1 | w | 971 |
| ΓΝ | 1 | w | 974 |
| καὶ | 8 | w | 977 |
| συμπιπτέτωσαν | 2 | w | 990 |
| ἀλλήλαις | 2 | w | 998 |
| κατὰ | 2 | w | 1002 |
| τὸ | 14 | w | 1004 |
| Θ | 7 | w | 1005 |
| συμπεσοῦνται | 2 | w | 1018 |
| γάρ | 1 | w | 1021 |
| ἐπειδήπερ | 1 | w | 1031 |
| ἄνισοί | 1 | w | 1037 |
| εἰσιν | 2 | w | 1042 |
| ἥ | 1 | w | 1043 |
| τε | 1 | w | 1045 |
| ΓΒ | 1 | w | 1047 |
| καὶ | 9 | w | 1050 |
| ἡ | 8 | w | 1051 |
| τῆς | 15 | w | 1054 |
| σφαίρας | 8 | w | 1061 |
| διάμετρος | 1 | w | 1070 |
| οὐκοῦν | 3 | w | 1077 |
| αἱ | 4 | w | 1079 |
| ἀπὸ | 3 | w | 1082 |
| τοῦ | 4 | w | 1085 |
| Θ | 8 | w | 1086 |
| σημείου | 2 | w | 1093 |
| προσπίπτουσαι | 1 | w | 1106 |
| πρὸς | 1 | w | 1110 |
| τὴν | 1 | w | 1113 |
| σφαῖραν | 1 | w | 1120 |
| ἔλαττον | 2 | w | 1127 |
| ἡμισφαιρίου | 4 | w | 1138 |
| περιλήψονται | 1 | w | 1150 |
| τὸ | 15 | w | 1153 |
| ἄρα | 2 | w | 1156 |
| ΖΗΝ | 2 | w | 1159 |
| ἔλασσον | 4 | w | 1166 |
| ἡμισφαιρίου | 5 | w | 1177 |
| ἐστίν | 1 | w | 1182 |
| ὥστε | 1 | w | 1187 |
| τὸ | 16 | w | 1189 |
| ὑπὸ | 2 | w | 1192 |
| τῶν | 7 | w | 1195 |
| Β | 11 | w | 1196 |
| Γ | 11 | w | 1198 |
| ὀμμάτων | 6 | w | 1205 |
| ὁρώμενον | 3 | w | 1213 |
| ἔλασσον | 5 | w | 1220 |
| ἂν | 2 | w | 1222 |
| εἴη | 2 | w | 1225 |
| ἡμισφαιρίου | 6 | w | 1236 |
| κη | 1 | w | 1239 |
| Κυλίνδρου | 1 | w | 1249 |
| ὁπωσοῦν | 1 | w | 1256 |
| ὁρωμένου | 1 | w | 1264 |
| ὑπὸ | 3 | w | 1267 |
| τοῦ | 5 | w | 1270 |
| ἑνὸς | 1 | w | 1274 |
| ὄμματος | 1 | w | 1281 |
| ἔλαττον | 3 | w | 1288 |
| ἡμικυλίνδρου | 1 | w | 1300 |
| ὀφθήσεται | 3 | w | 1309 |
| ἔστω | 3 | w | 1314 |
| γὰρ | 4 | w | 1317 |
| κυλίνδρου | 2 | w | 1326 |
| τοῦ | 6 | w | 1329 |
| περὶ | 1 | w | 1333 |
| τὴν | 2 | w | 1336 |
| βάσιν | 1 | w | 1341 |
| κύκλου | 1 | w | 1347 |
| κέντρον | 3 | w | 1354 |
| τὸ | 17 | w | 1356 |
| Κ | 8 | w | 1357 |
| καὶ | 10 | w | 1361 |
| ἀπὸ | 4 | w | 1364 |
| τοῦ | 7 | w | 1367 |
| Ν | 5 | w | 1368 |
| ὄμματος | 2 | w | 1375 |
| ἤχθω | 2 | w | 1379 |
| ἐπὶ | 1 | w | 1382 |
| τὸ | 18 | w | 1384 |
| Κ | 9 | w | 1385 |
| ἡ | 13 | w | 1386 |
| ΝΚ | 1 | w | 1388 |
| καὶ | 11 | w | 1392 |
| διὰ | 3 | w | 1395 |
| τοῦ | 8 | w | 1398 |
| Κ | 11 | w | 1399 |
| πρὸς | 2 | w | 1403 |
| ὀρθὰς | 1 | w | 1408 |
| αὐτῇ | 1 | w | 1412 |
| ἤχθω | 3 | w | 1416 |
| ἡ | 14 | w | 1417 |
| ΒΓ | 6 | w | 1419 |
| περὶ | 2 | w | 1424 |
| δὲ | 4 | w | 1426 |
| τὴν | 3 | w | 1429 |
| ΚΝ | 1 | w | 1431 |
| κύκλος | 1 | w | 1437 |
| γεγράφθω | 1 | w | 1445 |
| καὶ | 12 | w | 1449 |
| ἐπεζεύχθωσαν | 1 | w | 1461 |
| αἱ | 5 | w | 1463 |
| ΝΖ | 1 | w | 1465 |
| ΖΚ | 2 | w | 1468 |
| Ν | 9 | w | 1470 |
| Κ | 14 | w | 1472 |
| οὐκοῦν | 4 | w | 1479 |
| ὀρθαὶ | 1 | w | 1484 |
| αἱ | 6 | w | 1486 |
| πρὸς | 3 | w | 1490 |
| τοῖς | 1 | w | 1494 |
| Ζ | 12 | w | 1495 |
| καθʼ | 4 | w | 1501 |
| ἓν | 4 | w | 1503 |
| ἄρα | 3 | w | 1506 |
| ἐφάπτονται | 1 | w | 1516 |
| αἱ | 7 | w | 1518 |
| ΖΝ | 2 | w | 1520 |
| Ν | 11 | w | 1522 |
| καὶ | 13 | w | 1526 |
| αἵ | 1 | w | 1528 |
| γε | 2 | w | 1530 |
| ἀπὸ | 5 | w | 1533 |
| τοῦ | 9 | w | 1536 |
| Ν | 12 | w | 1537 |
| ὄμματος | 3 | w | 1544 |
| φερόμεναι | 1 | w | 1553 |
| ἀκτῖνες | 2 | w | 1560 |
| κατὰ | 3 | w | 1564 |
| τὰς | 1 | w | 1567 |
| Ν | 13 | w | 1568 |
| Ζ | 14 | w | 1569 |
| Ν | 14 | w | 1571 |
| πεσοῦνται | 3 | w | 1580 |
| ὥστε | 2 | w | 1585 |
| τὸ | 19 | w | 1587 |
| Ζ | 15 | w | 1588 |
| Λ | 1 | w | 1589 |
| μόνον | 1 | w | 1594 |
| ὀφθήσεται | 4 | w | 1603 |
| ἀλλὰ | 1 | w | 1608 |
| τὸ | 20 | w | 1610 |
| ΖΛ | 1 | w | 1612 |
| ἔλαττόν | 1 | w | 1619 |
| ἐστι | 1 | w | 1623 |
| τοῦ | 10 | w | 1626 |
| ΓΛΒ | 1 | w | 1629 |
| ἡμικυκλίου | 2 | w | 1639 |
| τὸ | 21 | w | 1642 |
| ἄρα | 4 | w | 1645 |
| ΖΛ | 2 | w | 1647 |
| ἔλασσον | 6 | w | 1654 |
| ἡμικυκλίου | 3 | w | 1664 |
| ὀφθήσεται | 5 | w | 1673 |
| τουτέστιν | 1 | w | 1683 |
| ὁ | 7 | w | 1684 |
| κύλινδρος | 1 | w | 1693 |
| 4 | 1 | w | 1695 |
| ἐπειδήπερ | 2 | w | 1705 |
| 6 | 1 | w | 1707 |
| διάμετρος | 2 | w | 1717 |
| mut | 1 | w | 1721 |
| m | 3 | w | 1723 |
| rec | 2 | w | 1727 |
| in | 1 | w | 1730 |
| ἐπειδὴ | 2 | w | 1736 |
| ἐλάσσων | 1 | w | 1743 |
| ἐστὶν | 1 | w | 1748 |
| ἡ | 17 | w | 1749 |
| BΓ | 1 | w | 1751 |
| τῆς | 16 | w | 1754 |
| διαμέτρου | 6 | w | 1763 |
| τῆς | 17 | w | 1766 |
| σφαίρας | 9 | w | 1773 |
| V | 2 | w | 1774 |
| 19 | 1 | w | 1777 |
| τοῦ | 11 | w | 1781 |
| corr | 3 | w | 1786 |
| ὁμοίως | 1 | w | 1792 |
| γὰρ | 5 | w | 1795 |
| τῇ | 5 | w | 1797 |
| βάσει | 1 | w | 1802 |
| κατὰ | 4 | w | 1806 |
| πᾶσαν | 1 | w | 1811 |
| ἐπιφάνειαν | 1 | w | 1821 |
| τοῦ | 12 | w | 1824 |
| κυλίνδρου | 3 | w | 1833 |
| δείξομεν | 1 | w | 1841 |
| ὥστε | 3 | w | 1846 |
| ὅλου | 1 | w | 1850 |
| τοῦ | 13 | w | 1853 |
| κυλίνδρου | 4 | w | 1862 |
| τοῦ | 14 | w | 1865 |
| ἡμίσεος | 1 | w | 1872 |
| ἔλαττον | 4 | w | 1879 |
| φαίνεται | 1 | w | 1887 |