| Refs | {'start': {'reference': '3.58', 'human_reference': 'Book 3 Section 58'}, 'end': {'reference': '3.62', 'human_reference': 'Book 3 Section 62'}} |
|---|---|
| Ancestors | [{'reference': '3'}] |
| Children | [] |
[*] [*]
| τὸ | 1 | w | 2 |
| γοῦν | 1 | w | 6 |
| τοῦ | 1 | w | 9 |
| τοίχου | 1 | w | 15 |
| μῆκος | 1 | w | 20 |
| φησί | 1 | w | 25 |
| λαμβάνομεν | 1 | w | 36 |
| μὴ | 1 | w | 38 |
| συνεπιβάλλοντες | 1 | w | 53 |
| αὐτοῦ | 1 | w | 58 |
| τῷ | 1 | w | 60 |
| πλάτει | 1 | w | 66 |
| διόπερ | 1 | w | 73 |
| ἐνέσται | 1 | w | 80 |
| καὶ | 1 | w | 83 |
| τὸ | 2 | w | 85 |
| παρὰ | 1 | w | 89 |
| τοῖς | 1 | w | 93 |
| γεωμέτραις | 1 | w | 103 |
| λεγόμενον | 1 | w | 112 |
| μῆκος | 2 | w | 117 |
| χωρὶς | 1 | w | 122 |
| πλάτους | 1 | w | 129 |
| τινὸς | 1 | w | 134 |
| ἐπινοεῖν | 1 | w | 142 |
| ἐπείπερ | 1 | w | 150 |
| ὄψις | 1 | w | 154 |
| τῶν | 1 | w | 157 |
| ἀδήλων | 1 | w | 163 |
| ἐστὶ | 1 | w | 167 |
| τὰ | 1 | w | 169 |
| φαινόμενα | 1 | w | 178 |
| πλανώμενος | 1 | w | 189 |
| ἢ | 1 | w | 190 |
| τάχα | 1 | w | 194 |
| κατασο- | 1 | w | 201 |
| φιζόμενος | 1 | w | 210 |
| ἡμᾶς | 1 | w | 214 |
| ὅταν | 1 | w | 219 |
| γὰρ | 1 | w | 222 |
| τὸ | 3 | w | 224 |
| τοίχου | 2 | w | 230 |
| μῆκος | 3 | w | 235 |
| χωρὶς | 2 | w | 240 |
| πλά- | 1 | w | 244 |
| τους | 2 | w | 248 |
| νοῶμεν | 1 | w | 254 |
| οὐ | 1 | w | 257 |
| χωρὶς | 3 | w | 262 |
| ποντὸς | 1 | w | 268 |
| πλάτους | 2 | w | 275 |
| αὐτὸ | 1 | w | 279 |
| νοοῦμεν | 1 | w | 286 |
| ἀλλὰ | 1 | w | 291 |
| χωρὶς | 4 | w | 296 |
| τοῦ | 3 | w | 299 |
| περὶ | 1 | w | 303 |
| τῷ | 2 | w | 305 |
| τοίχῳ | 1 | w | 310 |
| καθεστῶτος | 1 | w | 320 |
| πλάτους | 3 | w | 327 |
| ὅθεν | 1 | w | 332 |
| καὶ | 2 | w | 335 |
| ἐνδέχεται | 1 | w | 344 |
| συμπλέξαντας | 1 | w | 356 |
| τὸ | 6 | w | 358 |
| τοῦ | 4 | w | 361 |
| τοίχου | 3 | w | 367 |
| μῆκός | 1 | w | 372 |
| τινι | 1 | w | 376 |
| πλά- | 2 | w | 380 |
| τει | 2 | w | 383 |
| καὶ | 3 | w | 386 |
| ὁτῳδηποτοῦν | 1 | w | 397 |
| νόησιν | 1 | w | 403 |
| αὐτοῦ | 2 | w | 408 |
| ποιεῖσθαι | 1 | w | 417 |
| ὥστε | 1 | w | 421 |
| μῆκος | 4 | w | 426 |
| λαμβάνεσθαι | 1 | w | 437 |
| τὰ | 2 | w | 439 |
| νῦν | 1 | w | 442 |
| οὐ | 2 | w | 444 |
| χωρὶς | 5 | w | 449 |
| παντὸς | 1 | w | 455 |
| πλάτους | 4 | w | 462 |
| καθάπερ | 1 | w | 470 |
| ἀξιοῦσιν | 1 | w | 478 |
| οἱ | 1 | w | 480 |
| ἀπὸ | 1 | w | 483 |
| τῶν | 2 | w | 486 |
| μαθημάτων | 1 | w | 495 |
| ἀλλὰ | 2 | w | 500 |
| χωρὶς | 6 | w | 505 |
| τοῦδέ | 1 | w | 510 |
| τινος | 1 | w | 515 |
| πλάτους | 5 | w | 522 |
| προύκειτο | 1 | w | 532 |
| δὲ | 1 | w | 534 |
| τῷ | 3 | w | 536 |
| Ἀριστοτέλει | 1 | w | 547 |
| παραστῆσαι | 1 | w | 557 |
| οὐχ | 1 | w | 560 |
| ὅτι | 1 | w | 563 |
| τινὸς | 2 | w | 568 |
| πλάτους | 6 | w | 575 |
| ἀμοιρεῖ | 1 | w | 582 |
| τὸ | 8 | w | 584 |
| κατὰ | 1 | w | 588 |
| τοὺς | 1 | w | 592 |
| γεωμέτρας | 1 | w | 601 |
| λεγό- | 1 | w | 606 |
| μενον | 2 | w | 611 |
| μῆκος | 5 | w | 616 |
| ἀλλʼ | 1 | w | 621 |
| ὅτι | 2 | w | 624 |
| παντὸς | 2 | w | 630 |
| ἐστέρηται | 1 | w | 639 |
| πλάτους | 7 | w | 646 |
| ὅπερ | 1 | w | 651 |
| οὐκ | 1 | w | 654 |
| ἀπέδειξεν | 1 | w | 663 |
| Ταῦτα | 1 | w | 669 |
| μὲν | 1 | w | 672 |
| οὖν | 1 | w | 675 |
| περὶ | 2 | w | 679 |
| τούτων | 1 | w | 685 |
| ἐπειδὴ | 1 | w | 691 |
| δὲ | 2 | w | 693 |
| οἱ | 2 | w | 695 |
| γεωμέτραι | 2 | w | 704 |
| καὶ | 4 | w | 707 |
| πέρας | 1 | w | 712 |
| ἐπιφανείας | 1 | w | 722 |
| εἶναι | 1 | w | 727 |
| λέγουσι | 1 | w | 734 |
| τὴν | 1 | w | 737 |
| γραμμήν | 1 | w | 744 |
| ὅ | 6 | w | 746 |
| ἐστι | 1 | w | 750 |
| μῆκος | 6 | w | 755 |
| ἀπλατές | 1 | w | 762 |
| φέρε | 1 | w | 767 |
| κοινότερον | 1 | w | 777 |
| περὶ | 3 | w | 781 |
| γραμμῶν | 1 | w | 788 |
| ἅμα | 1 | w | 791 |
| καὶ | 5 | w | 794 |
| ἐπιφανειῶν | 1 | w | 804 |
| διαπορῶμεν | 1 | w | 814 |
| οὕτω | 1 | w | 819 |
| γὰρ | 2 | w | 822 |
| εὐδιάβλητος | 1 | w | 833 |
| καὶ | 6 | w | 836 |
| ὁ | 2 | w | 837 |
| ἐπὶ | 1 | w | 840 |
| τὸ | 10 | w | 842 |
| σῶμα | 1 | w | 846 |
| γενήσεται | 1 | w | 855 |
| λόγος | 1 | w | 860 |
| εἰ | 1 | w | 863 |
| γὰρ | 3 | w | 866 |
| ἡ | 2 | w | 867 |
| γραμμὴ | 1 | w | 873 |
| πέρας | 2 | w | 878 |
| ἐστὶν | 1 | w | 883 |
| ἐπιφανείας | 2 | w | 893 |
| μῆκος | 7 | w | 899 |
| ἀπλατὲς | 1 | w | 906 |
| κοθεστῶσα | 1 | w | 915 |
| δῆλον | 1 | w | 921 |
| ὡς | 1 | w | 923 |
| ὅταν | 2 | w | 927 |
| ἐπιφάνεια | 1 | w | 936 |
| ἐπιφανείᾳ | 1 | w | 945 |
| παρατεθῇ | 1 | w | 953 |
| ἤτοι | 1 | w | 958 |
| παράλληλοι | 1 | w | 968 |
| γε- | 1 | w | 971 |
| νήσονται | 1 | w | 979 |
| δύο | 1 | w | 982 |
| γραμμαὶ | 1 | w | 989 |
| ἢ | 2 | w | 990 |
| μία | 1 | w | 993 |
| ἀμφότεραι | 1 | w | 1002 |
| καὶ | 7 | w | 1006 |
| εἰ | 2 | w | 1008 |
| μὲν | 2 | w | 1011 |
| κία | 1 | w | 1014 |
| 57 | 1 | w | 1017 |
| 59 | 1 | w | 1020 |
| M | 1 | w | 1021 |
| IX | 1 | w | 1023 |
| 412 | 1 | w | 1026 |
| 59 | 2 | w | 1028 |
| M | 2 | w | 1029 |
| IX | 2 | w | 1031 |
| 413 | 1 | w | 1034 |
| 60 | 1 | w | 1036 |
| M | 3 | w | 1037 |
| IX | 3 | w | 1039 |
| 414 | 1 | w | 1042 |
| 61 | 1 | w | 1044 |
| 62 | 1 | w | 1047 |
| M | 4 | w | 1048 |
| IX | 4 | w | 1050 |
| 415 | 1 | w | 1053 |
| 5 | 5 | w | 1054 |
| περισκελίας | 1 | w | 1065 |
| ζ | 2 | w | 1066 |
| 11 | 1 | w | 1068 |
| gloss | 1 | w | 1073 |
| οὔτε | 1 | w | 1078 |
| πλανώμενος | 2 | w | 1088 |
| οὔτε | 2 | w | 1092 |
| σοφιζόμενος | 1 | w | 1103 |
| ἀλλὰ | 3 | w | 1107 |
| καὶ | 8 | w | 1110 |
| λίαν | 1 | w | 1114 |
| ἀληθεύων | 1 | w | 1122 |
| ὡς | 2 | w | 1125 |
| καὶ | 9 | w | 1129 |
| L | 1 | w | 1130 |
| τοῖς | 2 | w | 1135 |
| δυναμένοις | 1 | w | 1145 |
| ἐφιστάνειν | 1 | w | 1155 |
| ἀπαθῶς | 1 | w | 1161 |
| οἶμαι | 1 | w | 1167 |
| δόξειεν | 1 | w | 1175 |
| ἄν | 1 | w | 1177 |
| marg | 1 | w | 1181 |
| Lζ | 1 | w | 1184 |
| 12 | 2 | w | 1186 |
| τὸ | 11 | w | 1188 |
| τοῦ | 8 | w | 1192 |
| τοίχου | 4 | w | 1199 |
| Bekk | 1 | w | 1203 |
| 19 | 1 | w | 1206 |
| προύκειτο | 2 | w | 1215 |
| Bekk | 2 | w | 1220 |
| προϋπέκειτο | 1 | w | 1233 |
| G | 1 | w | 1234 |
| 20 | 1 | w | 1238 |
| πλάτους | 8 | w | 1245 |
| om | 1 | w | 1247 |
| E | 1 | w | 1249 |
| inseruit | 1 | w | 1258 |
| post | 1 | w | 1262 |
| v | 1 | w | 1263 |
| 21 | 1 | w | 1266 |
| μῆκος | 8 | w | 1271 |
| vocem | 1 | w | 1277 |
| ἀμοιρεῖ | 2 | w | 1284 |
| iterans | 1 | w | 1291 |
| αἱ | 1 | w | 1293 |
| δύο | 2 | w | 1296 |
| γραμμαὶ | 2 | w | 1303 |
| γίνονται | 1 | w | 1311 |
| ἐπεὶ | 1 | w | 1316 |
| ἡ | 3 | w | 1317 |
| γραμμὴ | 2 | w | 1323 |
| πέρας | 3 | w | 1328 |
| ἐστὶν | 2 | w | 1333 |
| ἐπιφανείας | 3 | w | 1343 |
| ἡ | 4 | w | 1345 |
| δὲ | 3 | w | 1347 |
| ἐπιφάνεια | 2 | w | 1356 |
| πέρας | 4 | w | 1361 |
| σώματος | 1 | w | 1368 |
| τῶν | 3 | w | 1372 |
| μὲν | 3 | w | 1375 |
| δυοῖν | 1 | w | 1380 |
| γραμμῶν | 2 | w | 1387 |
| μιᾶς | 1 | w | 1391 |
| ἅμα | 2 | w | 1394 |
| γινομένων | 1 | w | 1403 |
| γενήσονται | 1 | w | 1413 |
| καὶ | 10 | w | 1416 |
| αἱ | 2 | w | 1418 |
| δύο | 3 | w | 1421 |
| ἐπιφάνειαι | 1 | w | 1431 |
| μία | 2 | w | 1434 |
| ἐπιφάνεια | 4 | w | 1443 |
| τῶν | 4 | w | 1447 |
| δὲ | 4 | w | 1449 |
| δυοῖν | 2 | w | 1454 |
| ἐπιφανειῶν | 2 | w | 1464 |
| μιᾶς | 2 | w | 1468 |
| ἐπιφανείας | 4 | w | 1478 |
| γενηθεισῶν | 1 | w | 1488 |
| ἐξ | 1 | w | 1490 |
| ἀνάγκης | 1 | w | 1497 |
| ἔσται | 1 | w | 1502 |
| καὶ | 11 | w | 1505 |
| τὰ | 4 | w | 1507 |
| δύο | 4 | w | 1510 |
| σώματα | 1 | w | 1516 |
| ἓν | 1 | w | 1518 |
| σῶμα | 2 | w | 1522 |
| τῶν | 5 | w | 1526 |
| δὲ | 5 | w | 1528 |
| δυοῖν | 3 | w | 1533 |
| σωμάτων | 1 | w | 1540 |
| ἑνὸς | 1 | w | 1544 |
| γενομένων | 1 | w | 1553 |
| ἡ | 5 | w | 1554 |
| παράθεσις | 1 | w | 1563 |
| οὐκ | 2 | w | 1566 |
| ἔσται | 2 | w | 1571 |
| παράθεσις | 2 | w | 1580 |
| ἀλλʼ | 2 | w | 1584 |
| ἕνωσις | 1 | w | 1590 |
| ὅπερ | 2 | w | 1595 |
| ἐστὶν | 3 | w | 1600 |
| ἀδύνατον | 1 | w | 1608 |
| ἐπὶ | 2 | w | 1612 |
| τινῶν | 1 | w | 1617 |
| μὲν | 4 | w | 1620 |
| γὰρ | 4 | w | 1623 |
| σωμάτων | 2 | w | 1630 |
| δύναται | 1 | w | 1637 |
| ἡ | 6 | w | 1638 |
| παρά- | 1 | w | 1643 |
| θεσις | 3 | w | 1648 |
| ἕνωσις | 2 | w | 1654 |
| γίνεσθαι | 1 | w | 1662 |
| καθάπερ | 2 | w | 1670 |
| ὕδατος | 1 | w | 1676 |
| καὶ | 12 | w | 1679 |
| τῶν | 6 | w | 1682 |
| ἐοικότων | 1 | w | 1690 |
| τούτῳ | 1 | w | 1695 |
| ἐπὶ | 3 | w | 1699 |
| τινῶν | 2 | w | 1704 |
| δὲ | 6 | w | 1706 |
| οὐδαμῶς | 1 | w | 1713 |
| καὶ | 13 | w | 1717 |
| γὰρ | 5 | w | 1720 |
| λίθος | 1 | w | 1725 |
| λίθῳ | 1 | w | 1729 |
| παρα- | 1 | w | 1734 |
| τιθέμενος | 1 | w | 1743 |
| καὶ | 14 | w | 1746 |
| σίδηρος | 1 | w | 1753 |
| σιδήρῳ | 1 | w | 1759 |
| καὶ | 15 | w | 1762 |
| ἀδάμας | 1 | w | 1768 |
| ἀδάμαντι | 1 | w | 1776 |
| κατὰ | 2 | w | 1780 |
| γραμμὴν | 1 | w | 1787 |
| οὐχ | 2 | w | 1790 |
| ἑνοῦνται | 1 | w | 1798 |
| ὥστε | 2 | w | 1803 |
| οὐκ | 3 | w | 1806 |
| ἂν | 1 | w | 1808 |
| γένοιντο | 1 | w | 1816 |
| αἱ | 3 | w | 1818 |
| δύο | 5 | w | 1821 |
| γραμμαὶ | 3 | w | 1828 |
| μία | 3 | w | 1831 |
| γραμμή | 2 | w | 1837 |
| καὶ | 16 | w | 1841 |
| γὰρ | 6 | w | 1844 |
| ἄλλως | 1 | w | 1849 |
| εἰ | 3 | w | 1852 |
| ἕνωσίς | 1 | w | 1858 |
| ἐστι | 2 | w | 1862 |
| τῶν | 7 | w | 1865 |
| δύο | 6 | w | 1868 |
| γραμμῶν | 3 | w | 1875 |
| μιᾶς | 3 | w | 1879 |
| γενομένων | 2 | w | 1888 |
| καὶ | 17 | w | 1891 |
| σύμφυσις | 1 | w | 1899 |
| τῶν | 8 | w | 1902 |
| σωμά- | 1 | w | 1907 |
| των | 6 | w | 1910 |
| ἐχρῆν | 1 | w | 1916 |
| τὸν | 1 | w | 1919 |
| χωρισμὸν | 1 | w | 1927 |
| γίνεσθαι | 2 | w | 1935 |
| μὴ | 5 | w | 1937 |
| κατὰ | 3 | w | 1941 |
| τὰ | 7 | w | 1943 |
| αὐτὰ | 1 | w | 1947 |
| αὐ- | 1 | w | 1950 |
| τῶν | 9 | w | 1953 |
| πέρατα | 1 | w | 1959 |
| ἀλλὰ | 4 | w | 1963 |
| κατὰ | 4 | w | 1967 |
| ἄλλα | 1 | w | 1971 |
| καὶ | 18 | w | 1974 |
| ἄλλα | 2 | w | 1978 |
| μέρη | 1 | w | 1982 |
| ἀποσπωμέ- | 1 | w | 1991 |
| νων | 4 | w | 1994 |
| ὥστε | 3 | w | 1999 |
| καὶ | 19 | w | 2002 |
| φθορὰν | 1 | w | 2008 |
| συμβαίνειν | 1 | w | 2018 |
| οὐχὶ | 1 | w | 2023 |
| δέ | 3 | w | 2025 |
| γε | 10 | w | 2027 |
| τοῦτο | 1 | w | 2032 |
| γινό- | 1 | w | 2037 |
| μενον | 3 | w | 2042 |
| θεωρεῖται | 1 | w | 2051 |
| ἀλλὰ | 5 | w | 2056 |
| τὰ | 10 | w | 2058 |
| πέρατα | 2 | w | 2064 |
| τῶν | 10 | w | 2067 |
| σωμάτων | 3 | w | 2074 |
| καὶ | 20 | w | 2077 |
| πρὸ | 1 | w | 2080 |
| τῆς | 1 | w | 2083 |
| παραθέσεως | 1 | w | 2093 |
| καὶ | 21 | w | 2096 |
| μετὰ | 1 | w | 2100 |
| τὸν | 2 | w | 2103 |
| χωρισμὸν | 2 | w | 2111 |
| τοιαῦτά | 1 | w | 2118 |
| ἐστιν | 1 | w | 2123 |
| ὁποῖα | 1 | w | 2128 |
| καὶ | 22 | w | 2131 |
| ἐν | 3 | w | 2133 |
| τῇ | 1 | w | 2135 |
| παραθέσει | 1 | w | 2144 |
| ὄντα | 1 | w | 2148 |
| πρότερον | 1 | w | 2157 |
| ἐφαίνετο | 1 | w | 2166 |
| οὐ | 10 | w | 2169 |
| τοίνυν | 1 | w | 2175 |
| αἱ | 4 | w | 2177 |
| δύο | 7 | w | 2180 |
| γραμμαὶ | 4 | w | 2187 |
| μία | 4 | w | 2190 |
| γίνονται | 2 | w | 2198 |