| Refs | {'start': {'reference': '3.68', 'human_reference': 'Book 3 Section 68'}, 'end': {'reference': '3.72', 'human_reference': 'Book 3 Section 72'}} |
|---|---|
| Ancestors | [{'reference': '3'}] |
| Children | [] |
[*] [*]
| εἰ | 1 | w | 2 |
| δὲ | 1 | w | 4 |
| συνεχεῖς | 1 | w | 12 |
| ἀλλή- | 1 | w | 17 |
| λοις | 1 | w | 21 |
| ὑπάρχειν | 1 | w | 29 |
| οἴονται | 1 | w | 36 |
| τοὺς | 1 | w | 40 |
| κύκλους | 1 | w | 47 |
| ἤτοι | 1 | w | 52 |
| οὕτως | 1 | w | 57 |
| εἰσὶ | 1 | w | 61 |
| συν- | 1 | w | 65 |
| εχεῖς | 2 | w | 70 |
| ὡς | 1 | w | 72 |
| τὸν | 1 | w | 75 |
| αὐτὸν | 1 | w | 80 |
| ἐπέχειν | 1 | w | 87 |
| τόπον | 1 | w | 92 |
| ἢ | 1 | w | 94 |
| ὥστε | 1 | w | 98 |
| ἄλλον | 1 | w | 103 |
| παῤ | 1 | w | 106 |
| ἄλλον | 2 | w | 111 |
| τετάχθαι | 1 | w | 119 |
| μηδενὸς | 1 | w | 126 |
| σημείου | 1 | w | 133 |
| μεταξὺ | 1 | w | 139 |
| πίπτοντος | 1 | w | 148 |
| πᾶν | 1 | w | 152 |
| 65 | 1 | w | 155 |
| M | 1 | w | 156 |
| IX | 1 | w | 158 |
| 418 | 1 | w | 161 |
| 419 | 1 | w | 165 |
| 68 | 1 | w | 167 |
| M | 2 | w | 168 |
| IX | 2 | w | 170 |
| 420 | 1 | w | 173 |
| 67 | 1 | w | 175 |
| M | 3 | w | 176 |
| IX | 3 | w | 178 |
| 421 | 1 | w | 181 |
| 422 | 1 | w | 185 |
| 68 | 2 | w | 187 |
| M | 4 | w | 188 |
| IX | 4 | w | 190 |
| 423 | 1 | w | 193 |
| 12 | 1 | w | 195 |
| γραμμικῆς | 1 | w | 204 |
| EL | 1 | w | 206 |
| Vr | 1 | w | 208 |
| AB | 1 | w | 210 |
| Gen | 1 | w | 213 |
| γραμμῆς | 1 | w | 222 |
| sed | 1 | w | 226 |
| in | 1 | w | 228 |
| marg | 1 | w | 232 |
| γρ | 3 | w | 235 |
| γραμ- | 1 | w | 240 |
| μικῆς | 2 | w | 245 |
| VCR | 1 | w | 248 |
| 15 | 1 | w | 250 |
| ἑαυτοῖς | 1 | w | 257 |
| VCBR | 1 | w | 261 |
| 16 | 1 | w | 263 |
| καταμετρῆ | 1 | w | 272 |
| τῆ | 1 | w | 274 |
| ἀπὸ | 1 | w | 277 |
| G | 2 | w | 278 |
| corr | 1 | w | 283 |
| Bekk | 1 | w | 288 |
| 17 | 1 | w | 291 |
| ἐξωτάτω | 1 | w | 298 |
| Bekk | 2 | w | 302 |
| 25 | 1 | w | 305 |
| 26 | 1 | w | 308 |
| γὰρ | 1 | w | 311 |
| om | 1 | w | 313 |
| LVr | 1 | w | 317 |
| καὶ | 1 | w | 321 |
| γὰρ | 2 | w | 324 |
| πᾶν | 2 | w | 327 |
| Gen | 2 | w | 330 |
| Fabr | 1 | w | 335 |
| 26 | 2 | w | 338 |
| ἔχει | 1 | w | 342 |
| LVr | 2 | w | 345 |
| γὰρ | 3 | w | 348 |
| σημεῖον | 1 | w | 355 |
| τὸ | 3 | w | 357 |
| μεταξὺ | 2 | w | 363 |
| κατ | 2 | w | 366 |
| ἐπίνοιαν | 1 | w | 374 |
| πῖπτον | 1 | w | 380 |
| ὀφείλει | 1 | w | 387 |
| καὶ | 2 | w | 390 |
| αὐτὸ | 2 | w | 394 |
| κύκλον | 1 | w | 400 |
| γράφειν | 1 | w | 407 |
| καὶ | 3 | w | 411 |
| εἰ | 3 | w | 413 |
| μὲν | 1 | w | 416 |
| τὸν | 3 | w | 419 |
| αὐτὸν | 2 | w | 424 |
| ἐπέχουσι | 1 | w | 432 |
| τόπον | 2 | w | 437 |
| πάντες | 1 | w | 443 |
| εἷς | 1 | w | 447 |
| γενήσεται | 1 | w | 456 |
| κύκλος | 1 | w | 462 |
| καὶ | 4 | w | 466 |
| διὰ | 1 | w | 469 |
| τοῦτο | 1 | w | 474 |
| τῷ | 1 | w | 476 |
| ἐλαχίστῳ | 1 | w | 484 |
| κύκλῳ | 1 | w | 489 |
| καὶ | 5 | w | 492 |
| πρὸς | 1 | w | 496 |
| τῷ | 2 | w | 498 |
| κέντρῳ | 1 | w | 504 |
| καθεστῶτι | 1 | w | 513 |
| ὁ | 1 | w | 514 |
| μείζων | 1 | w | 520 |
| καὶ | 6 | w | 523 |
| ἐξω- | 1 | w | 527 |
| τάτω | 2 | w | 531 |
| καὶ | 7 | w | 534 |
| πάντων | 1 | w | 540 |
| περιληπτικὸς | 1 | w | 552 |
| καθεστὼς | 1 | w | 560 |
| κύκλος | 2 | w | 566 |
| ἴσος | 1 | w | 570 |
| γενήσεται | 2 | w | 579 |
| εἰ | 4 | w | 582 |
| γὰρ | 4 | w | 585 |
| ὁ | 2 | w | 586 |
| μὲν | 2 | w | 589 |
| ἐξωτάτω | 2 | w | 596 |
| κύκλος | 3 | w | 602 |
| καὶ | 8 | w | 605 |
| πρὸς | 2 | w | 609 |
| αὐτῇ | 1 | w | 613 |
| τῇ | 2 | w | 615 |
| περιφερείᾳ | 1 | w | 625 |
| μεῖζον | 1 | w | 631 |
| ἐπέχει | 2 | w | 637 |
| διάστημα | 1 | w | 645 |
| καὶ | 9 | w | 648 |
| ὁ | 3 | w | 649 |
| ἐσωτάτω | 1 | w | 656 |
| πρὸς | 3 | w | 660 |
| τῷ | 3 | w | 662 |
| κέντρῳ | 2 | w | 668 |
| κύκλος | 4 | w | 674 |
| μικρὸν | 1 | w | 680 |
| ἐπέχει | 3 | w | 686 |
| διάστημα | 2 | w | 694 |
| πάντες | 2 | w | 701 |
| δὲ | 2 | w | 703 |
| οἱ | 1 | w | 705 |
| κύκλοι | 1 | w | 711 |
| τὸν | 5 | w | 714 |
| αὐτὸν | 3 | w | 719 |
| ἐπέχουσι | 2 | w | 727 |
| τόπον | 3 | w | 732 |
| ὁ | 4 | w | 734 |
| τὸ | 9 | w | 736 |
| μεῖζον | 2 | w | 742 |
| ἐπέ- | 1 | w | 746 |
| χων | 1 | w | 749 |
| διάστημα | 3 | w | 757 |
| ἴσος | 2 | w | 761 |
| γενήσεται | 3 | w | 770 |
| τῷ | 4 | w | 772 |
| τὸ | 10 | w | 775 |
| ἐλάχιστον | 1 | w | 785 |
| ἐπέ- | 2 | w | 789 |
| χοντι | 1 | w | 794 |
| διάστημα | 4 | w | 802 |
| ὅπερ | 1 | w | 807 |
| ἐστὶν | 1 | w | 812 |
| ἀπεμφαῖνον | 1 | w | 822 |
| οὐ | 1 | w | 825 |
| τοίνυν | 1 | w | 831 |
| οὕτως | 2 | w | 836 |
| εἰσὶ | 2 | w | 840 |
| συνεχεῖς | 2 | w | 848 |
| οἱ | 2 | w | 850 |
| κύκλοι | 2 | w | 856 |
| ὡς | 2 | w | 858 |
| τὸν | 7 | w | 861 |
| αὐτὸν | 4 | w | 866 |
| τόπον | 4 | w | 871 |
| ἐπέχειν | 2 | w | 878 |
| εἰ | 6 | w | 881 |
| δὲ | 3 | w | 883 |
| παράλληλοι | 1 | w | 893 |
| τυγχάνουσιν | 1 | w | 904 |
| ὥστε | 2 | w | 908 |
| μεταξύ | 1 | w | 914 |
| τι | 4 | w | 916 |
| μὴ | 1 | w | 918 |
| πίπτειν | 1 | w | 925 |
| ἀμερὲς | 1 | w | 931 |
| σημεῖον | 2 | w | 938 |
| συμπληρώσουσι | 1 | w | 952 |
| τὸ | 13 | w | 954 |
| ἀπὸ | 2 | w | 957 |
| τοῦ | 2 | w | 960 |
| κέντρου | 1 | w | 967 |
| μέχρι | 1 | w | 972 |
| τῆς | 1 | w | 975 |
| περιφερείας | 1 | w | 986 |
| πλάτος | 1 | w | 992 |
| εἰ | 7 | w | 995 |
| δέ | 1 | w | 997 |
| γε | 4 | w | 999 |
| συμπληρώσουσιν | 1 | w | 1013 |
| ἐπέ- | 3 | w | 1018 |
| χουσί | 1 | w | 1023 |
| τι | 5 | w | 1025 |
| πλάτος | 2 | w | 1031 |
| ἦσαν | 1 | w | 1036 |
| δέ | 2 | w | 1038 |
| γε | 5 | w | 1040 |
| οὗτοι | 1 | w | 1045 |
| γραμμαί | 1 | w | 1052 |
| αἱ | 1 | w | 1055 |
| ἄρα | 1 | w | 1058 |
| γραμ- | 2 | w | 1063 |
| μαὶ | 1 | w | 1066 |
| ἔχουσί | 1 | w | 1072 |
| τι | 6 | w | 1074 |
| πλάτος | 3 | w | 1080 |
| καὶ | 10 | w | 1083 |
| οὐκ | 1 | w | 1086 |
| ἀπλατεῖς | 1 | w | 1094 |
| καθεστήκασιν | 1 | w | 1106 |
| Ἀπὸ | 1 | w | 1110 |
| δὲ | 4 | w | 1112 |
| τῆς | 2 | w | 1115 |
| αὐτῆς | 1 | w | 1120 |
| δυνάμεως | 1 | w | 1128 |
| ὁρμώμενοι | 1 | w | 1137 |
| ὁμοιότροπον | 1 | w | 1148 |
| τῇ | 3 | w | 1150 |
| προαποδοθείσῃ | 1 | w | 1163 |
| συνθήσομεν | 1 | w | 1173 |
| ἐπιχείρησιν | 1 | w | 1184 |
| ἐπεὶ | 1 | w | 1189 |
| γάρ | 1 | w | 1192 |
| φασι | 1 | w | 1196 |
| τὴν | 1 | w | 1199 |
| κυκλογραφοῦσαν | 1 | w | 1213 |
| εὐθεῖαν | 1 | w | 1220 |
| γραμμὴν | 1 | w | 1227 |
| διʼ | 1 | w | 1230 |
| ἑαυτῆς | 1 | w | 1236 |
| τὸν | 9 | w | 1239 |
| κύκλον | 2 | w | 1245 |
| καταγράφειν | 1 | w | 1256 |
| συνερωτῶντες | 1 | w | 1269 |
| αὐτοὺς | 1 | w | 1275 |
| φήσομεν | 1 | w | 1282 |
| εἰ | 8 | w | 1285 |
| ἡ | 1 | w | 1286 |
| κυκλογραφοῦοα | 1 | w | 1299 |
| εὐθεῖα | 2 | w | 1305 |
| γραμμὴ | 2 | w | 1311 |
| δι | 7 | w | 1313 |
| ἑαυτῆς | 2 | w | 1319 |
| τὸν | 10 | w | 1322 |
| κύκλον | 3 | w | 1328 |
| καταγράφειν | 2 | w | 1339 |
| πέφυκεν | 1 | w | 1346 |
| οὔκ | 1 | w | 1350 |
| ἐστι | 1 | w | 1354 |
| μῆκος | 1 | w | 1359 |
| ἀπλατὲς | 1 | w | 1366 |
| ἡ | 2 | w | 1367 |
| γραμμή | 1 | w | 1373 |
| ἀλλὰ | 1 | w | 1378 |
| μὴν | 2 | w | 1381 |
| ἡ | 3 | w | 1382 |
| κυκλογραφοῦοα | 2 | w | 1395 |
| εὐθεῖα | 3 | w | 1401 |
| γραμμὴ | 3 | w | 1407 |
| διʼ | 2 | w | 1410 |
| ἑαυτῆς | 3 | w | 1416 |
| τὸν | 11 | w | 1419 |
| κύκλον | 4 | w | 1425 |
| καταγράφει | 3 | w | 1435 |
| ὡς | 3 | w | 1438 |
| ἐκεῖνοί | 1 | w | 1445 |
| φασιν | 1 | w | 1450 |
| οὐκ | 2 | w | 1454 |
| ἄρα | 2 | w | 1457 |
| μῆ- | 1 | w | 1460 |
| κός | 1 | w | 1463 |
| ἐστιν | 1 | w | 1468 |
| ἀπλατὲς | 2 | w | 1475 |
| ἡ | 4 | w | 1476 |
| γραμμή | 2 | w | 1482 |
| ὡς | 4 | w | 1485 |
| ἡμεῖς | 1 | w | 1490 |
| τοῦτο | 2 | w | 1495 |
| ἀκόλουθον | 1 | w | 1504 |
| ὂν | 1 | w | 1506 |
| ἐκείνοις | 1 | w | 1514 |
| διδάξομεν | 1 | w | 1523 |
| ὅταν | 1 | w | 1528 |
| γὰρ | 5 | w | 1531 |
| ἡ | 6 | w | 1532 |
| ἀπὸ | 3 | w | 1535 |
| τοῦ | 4 | w | 1538 |
| κέντρου | 2 | w | 1545 |
| ἀγο- | 1 | w | 1549 |
| μένη | 1 | w | 1553 |
| εὐθεῖα | 4 | w | 1559 |
| στρέφηται | 1 | w | 1568 |
| καὶ | 11 | w | 1571 |
| διʼ | 3 | w | 1574 |
| ἑαυτῆς | 4 | w | 1580 |
| καταγράφῃ | 1 | w | 1589 |
| κύ- | 1 | w | 1592 |
| κλον | 5 | w | 1596 |
| τότε | 1 | w | 1601 |
| ἤτοι | 2 | w | 1605 |
| κατὰ | 1 | w | 1609 |
| πάντων | 2 | w | 1615 |
| τῶν | 2 | w | 1618 |
| μερῶν | 1 | w | 1623 |
| τοῦ | 5 | w | 1626 |
| ἐντὸς | 1 | w | 1631 |
| τῆς | 8 | w | 1634 |
| περιφερείας | 2 | w | 1645 |
| πλάτους | 1 | w | 1652 |
| φέρεται | 1 | w | 1659 |
| ἡ | 7 | w | 1660 |
| εὐθεῖα | 5 | w | 1666 |
| γραμμή | 3 | w | 1672 |
| ἢ | 2 | w | 1674 |
| οὐ | 4 | w | 1676 |
| κατὰ | 2 | w | 1680 |
| 69 | 1 | w | 1683 |
| M | 5 | w | 1684 |
| IX | 5 | w | 1686 |
| 424 | 1 | w | 1689 |
| 70 | 1 | w | 1691 |
| M | 6 | w | 1692 |
| IX | 6 | w | 1694 |
| 425 | 1 | w | 1697 |
| 71 | 1 | w | 1699 |
| M | 7 | w | 1700 |
| IX | 7 | w | 1702 |
| 426 | 1 | w | 1705 |
| 72 | 1 | w | 1707 |
| 73 | 1 | w | 1710 |
| M | 8 | w | 1711 |
| IX | 8 | w | 1713 |
| 427 | 1 | w | 1716 |
| 1 | 9 | w | 1717 |
| 2 | 15 | w | 1719 |
| καὶ | 12 | w | 1722 |
| αὐτὸ | 6 | w | 1726 |
| Bekk | 3 | w | 1730 |
| cl | 1 | w | 1733 |
| p | 1 | w | 1735 |
| 472 | 1 | w | 1739 |
| 19 | 2 | w | 1742 |
| Bekk | 4 | w | 1747 |
| τὸν | 12 | w | 1753 |
| αὐτὸν | 5 | w | 1758 |
| G | 4 | w | 1759 |
| 5 | 5 | w | 1760 |
| καὶ | 13 | w | 1763 |
| om | 2 | w | 1765 |
| E | 2 | w | 1767 |
| 10 | 1 | w | 1769 |
| ἶσος | 1 | w | 1773 |
| EL | 2 | w | 1775 |
| τὸ | 21 | w | 1777 |
| add | 1 | w | 1780 |
| dub | 1 | w | 1784 |
| Bekk | 5 | w | 1789 |
| Bury | 1 | w | 1794 |
| 15 | 2 | w | 1796 |
| συμπληρώσουσι | 3 | w | 1809 |
| πλάτος | 4 | w | 1816 |
| ἔχουσί | 2 | w | 1824 |
| dub | 2 | w | 1827 |
| Bekk | 6 | w | 1832 |
| 16 | 2 | w | 1835 |
| δ | 21 | w | 1836 |
| ἄρα | 3 | w | 1839 |
| E | 4 | w | 1840 |
| 21 | 2 | w | 1842 |
| 23 | 2 | w | 1844 |
| καταγράφειν | 3 | w | 1855 |
| om | 3 | w | 1857 |
| ζ | 4 | w | 1859 |
| 25 | 3 | w | 1861 |
| καταγράφειν | 4 | w | 1872 |
| ζ | 5 | w | 1873 |
| πάντων | 3 | w | 1879 |
| ἀλλὰ | 2 | w | 1883 |
| κατὰ | 3 | w | 1887 |
| τινῶν | 1 | w | 1892 |
| καὶ | 14 | w | 1896 |
| εἰ | 9 | w | 1898 |
| μὲν | 3 | w | 1901 |
| κατὰ | 4 | w | 1905 |
| τινῶν | 2 | w | 1910 |
| φέρε- | 1 | w | 1915 |
| ται | 7 | w | 1918 |
| οὐδὲ | 1 | w | 1923 |
| καταγράφει | 6 | w | 1933 |
| κύκλον | 5 | w | 1939 |
| καθʼ | 1 | w | 1944 |
| ὧν | 1 | w | 1946 |
| μὲν | 4 | w | 1949 |
| μερῶν | 2 | w | 1954 |
| φερο- | 1 | w | 1959 |
| μένη | 2 | w | 1963 |
| καθʼ | 2 | w | 1967 |
| ὧν | 2 | w | 1969 |
| δὲ | 6 | w | 1971 |
| οὔ | 2 | w | 1973 |
| εἰ | 10 | w | 1976 |
| δὲ | 7 | w | 1978 |
| κατὰ | 5 | w | 1982 |
| πάντων | 4 | w | 1988 |
| φέρεται | 2 | w | 1995 |
| ὅλον | 1 | w | 2000 |
| τὸ | 22 | w | 2002 |
| τῆς | 9 | w | 2005 |
| περιφερείας | 3 | w | 2016 |
| καταμετρήσει | 1 | w | 2028 |
| πλάτος | 5 | w | 2034 |