| Refs | {'start': {'reference': '26', 'human_reference': 'Section 26'}, 'end': {'reference': '30', 'human_reference': 'Section 30'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| ἀρχέτυποι | 1 | w | 9 |
| δὲ | 1 | w | 11 |
| τούτων | 1 | w | 17 |
| ἀριθμοὶ | 1 | w | 24 |
| τοῦ | 1 | w | 27 |
| μὲν | 1 | w | 30 |
| ἀδιαστάτου | 1 | w | 40 |
| σημείου | 1 | w | 47 |
| τὸ | 1 | w | 49 |
| ἕν | 1 | w | 51 |
| τῆς | 1 | w | 55 |
| δὲ | 2 | w | 57 |
| γραμμῆς | 1 | w | 64 |
| τὰ | 1 | w | 66 |
| δύο | 1 | w | 69 |
| καὶ | 1 | w | 73 |
| ἐπιφανείας | 1 | w | 83 |
| μὲν | 2 | w | 86 |
| τρία | 1 | w | 90 |
| στερεοῦ | 1 | w | 98 |
| δὲ | 3 | w | 100 |
| τέσσαρα | 1 | w | 107 |
| ὧν | 1 | w | 110 |
| ἡ | 1 | w | 111 |
| σύνθεσις | 1 | w | 119 |
| ἑνὸς | 1 | w | 123 |
| καὶ | 2 | w | 126 |
| δυοῖν | 1 | w | 131 |
| καὶ | 3 | w | 134 |
| τριῶν | 1 | w | 139 |
| καὶ | 4 | w | 142 |
| τεσσάρων | 1 | w | 150 |
| ἀποτελεῖ | 1 | w | 158 |
| δεκάδα | 1 | w | 164 |
| παραφαίνουσαν | 1 | w | 177 |
| τοῖς | 1 | w | 181 |
| ὁρατικοῖς | 1 | w | 190 |
| καὶ | 5 | w | 193 |
| ἕτερα | 1 | w | 198 |
| κάλλη | 1 | w | 203 |
| σχεδὸν | 1 | w | 210 |
| γὰρ | 1 | w | 213 |
| ἡ | 2 | w | 214 |
| ἀπειρία | 1 | w | 221 |
| τῶν | 1 | w | 224 |
| ἀριθμῶν | 1 | w | 231 |
| ταύτῃ | 1 | w | 236 |
| μετρεῖται | 1 | w | 245 |
| διότι | 1 | w | 251 |
| οἱ | 1 | w | 253 |
| συστήσαντες | 1 | w | 264 |
| αὐτὴν | 1 | w | 269 |
| ὅροι | 1 | w | 273 |
| τέσσαρές | 1 | w | 281 |
| εἰσιν | 1 | w | 286 |
| ἓν | 1 | w | 289 |
| καὶ | 6 | w | 292 |
| δύο | 2 | w | 295 |
| καὶ | 7 | w | 298 |
| τρία | 2 | w | 302 |
| καὶ | 8 | w | 305 |
| τέτταρα | 1 | w | 312 |
| οἱ | 2 | w | 315 |
| δ | 12 | w | 316 |
| ἴσοι | 1 | w | 321 |
| ὅροι | 2 | w | 325 |
| ἑκατοντάδα | 1 | w | 335 |
| γεννῶσιν | 1 | w | 343 |
| ἐκ | 1 | w | 345 |
| δεκάδων | 1 | w | 352 |
| δέκα | 1 | w | 357 |
| γὰρ | 2 | w | 360 |
| καὶ | 9 | w | 363 |
| εἴκοσι | 1 | w | 369 |
| καὶ | 10 | w | 372 |
| τριάκοντα | 1 | w | 381 |
| καὶ | 11 | w | 384 |
| τεσσαράκοντα | 1 | w | 396 |
| γίνονται | 1 | w | 404 |
| ἑκατόν | 1 | w | 410 |
| ὁμοίως | 1 | w | 418 |
| δὲ | 4 | w | 420 |
| καὶ | 12 | w | 423 |
| χιλιάδα | 1 | w | 430 |
| ἐξ | 1 | w | 432 |
| ἑκατοντάδων | 1 | w | 443 |
| καὶ | 13 | w | 446 |
| μυριάδα | 1 | w | 453 |
| ἐκ | 2 | w | 455 |
| χιλιάδων | 1 | w | 463 |
| μονὰς | 1 | w | 469 |
| δὲ | 5 | w | 471 |
| καὶ | 14 | w | 474 |
| δεκὰς | 1 | w | 479 |
| καὶ | 15 | w | 482 |
| ἑκατοντὰς | 1 | w | 491 |
| καὶ | 16 | w | 494 |
| χιλιὰς | 1 | w | 500 |
| τέσσαρες | 1 | w | 508 |
| ὅροι | 3 | w | 512 |
| οἱ | 3 | w | 514 |
| δεκάδα | 2 | w | 520 |
| γεννῶντες | 1 | w | 529 |
| ἥτις | 1 | w | 534 |
| δίχα | 1 | w | 538 |
| τῶν | 2 | w | 541 |
| πρόσθεν | 1 | w | 548 |
| εἰρημένων | 1 | w | 557 |
| καὶ | 17 | w | 560 |
| ἑτέρας | 1 | w | 566 |
| ἀριθμῶν | 2 | w | 573 |
| ἐμφαίνει | 1 | w | 581 |
| διαφοράς | 1 | w | 589 |
| τόν | 2 | w | 593 |
| τε | 8 | w | 595 |
| πρῶτον | 1 | w | 601 |
| κόσμον | 1 | w | 607 |
| ὃς | 1 | w | 610 |
| μονάδι | 1 | w | 616 |
| μόνῃ | 1 | w | 620 |
| μετρεῖται | 2 | w | 629 |
| οὗ | 1 | w | 632 |
| παράδειγμα | 1 | w | 642 |
| ὁ | 3 | w | 643 |
| τρεῖς | 1 | w | 648 |
| ὁ | 4 | w | 650 |
| πέντε | 1 | w | 655 |
| ὁ | 5 | w | 657 |
| ἑπτά | 1 | w | 661 |
| καὶ | 18 | w | 665 |
| τὸν | 1 | w | 668 |
| τετράγωνον | 1 | w | 678 |
| τὸν | 2 | w | 682 |
| τέσσαρα | 2 | w | 689 |
| τὸν | 3 | w | 693 |
| ἰσάκις | 1 | w | 699 |
| ἴσον | 1 | w | 703 |
| καὶ | 19 | w | 707 |
| μὲν | 3 | w | 710 |
| δὴ | 1 | w | 712 |
| τὸν | 4 | w | 715 |
| κύβον | 1 | w | 720 |
| τὸν | 5 | w | 724 |
| ὀκτώ | 1 | w | 728 |
| ὅς | 1 | w | 731 |
| ἐστιν | 1 | w | 736 |
| ἰσάκις | 2 | w | 742 |
| ἴσος | 1 | w | 746 |
| ἰσάκις | 3 | w | 752 |
| καὶ | 20 | w | 756 |
| τὸν | 6 | w | 759 |
| τέλειον | 1 | w | 766 |
| τὸν | 7 | w | 770 |
| ἕξ | 1 | w | 772 |
| ἰσούμενον | 1 | w | 782 |
| τοῖς | 2 | w | 786 |
| ἑαυτοῦ | 1 | w | 792 |
| μέρεσι | 1 | w | 798 |
| τρισὶ | 1 | w | 804 |
| καὶ | 21 | w | 807 |
| δυσὶ | 1 | w | 811 |
| 2 | 1 | w | 812 |
| εἰκότως | 1 | w | 819 |
| ἄν | 1 | w | 821 |
| τις | 2 | w | 824 |
| M | 1 | w | 825 |
| ἄν | 2 | w | 828 |
| τις | 3 | w | 831 |
| εἰκότως | 2 | w | 838 |
| ceteri | 1 | w | 844 |
| v | 1 | w | 846 |
| θαυμάσειε | 1 | w | 856 |
| MAP | 1 | w | 859 |
| θαυμάσαι | 1 | w | 868 |
| FGH | 1 | w | 871 |
| 5 | 1 | w | 872 |
| γραμμὴν | 1 | w | 879 |
| καὶ | 22 | w | 882 |
| ἐπιφάνειαν | 1 | w | 892 |
| καὶ | 23 | w | 895 |
| στερεόν | 1 | w | 902 |
| coni | 1 | w | 906 |
| Mang | 1 | w | 911 |
| γὰρ | 3 | w | 915 |
| om | 1 | w | 917 |
| F | 2 | w | 919 |
| 6 | 1 | w | 920 |
| δ | 32 | w | 921 |
| AP | 2 | w | 924 |
| δὲ | 6 | w | 927 |
| ceteri | 2 | w | 933 |
| 7 | 1 | w | 934 |
| δὲ | 7 | w | 936 |
| Μ | 1 | w | 937 |
| τρεῖς | 2 | w | 942 |
| M | 4 | w | 943 |
| βάθους | 1 | w | 949 |
| MII | 1 | w | 952 |
| Λαὶ | 1 | w | 956 |
| βάθος | 1 | w | 961 |
| AP | 3 | w | 963 |
| β | 4 | w | 964 |
| α | 77 | w | 966 |
| βάθους | 2 | w | 973 |
| πλάτους | 1 | w | 980 |
| Η | 1 | w | 981 |
| 8 | 1 | w | 982 |
| ἡ | 3 | w | 983 |
| om | 2 | w | 985 |
| GH | 2 | w | 988 |
| v | 2 | w | 990 |
| 10 | 1 | w | 993 |
| γ | 11 | w | 994 |
| M | 6 | w | 996 |
| 11 | 1 | w | 998 |
| δ | 35 | w | 999 |
| M | 7 | w | 1001 |
| α | 78 | w | 1002 |
| M | 8 | w | 1004 |
| δυεῖν | 1 | w | 1009 |
| GH | 3 | w | 1011 |
| β | 6 | w | 1013 |
| M | 9 | w | 1015 |
| γ | 12 | w | 1016 |
| M | 10 | w | 1018 |
| 12 | 1 | w | 1020 |
| τεττάρων | 1 | w | 1028 |
| APF | 1 | w | 1031 |
| δ | 37 | w | 1033 |
| M | 11 | w | 1035 |
| ἀποτελεῖ | 2 | w | 1043 |
| δεκάδα | 3 | w | 1049 |
| τέτταρα | 2 | w | 1057 |
| 14 | 1 | w | 1060 |
| om | 3 | w | 1063 |
| M | 12 | w | 1065 |
| ὁρατικοῖς | 2 | w | 1074 |
| APFG | 1 | w | 1078 |
| ὁρατοῖς | 1 | w | 1086 |
| Η | 2 | w | 1087 |
| Turn | 1 | w | 1092 |
| 13 | 1 | w | 1096 |
| μετρεῖται | 3 | w | 1105 |
| περατοῦται | 1 | w | 1116 |
| vel | 1 | w | 1119 |
| περαίνεται | 1 | w | 1129 |
| coni | 2 | w | 1133 |
| Mang | 2 | w | 1138 |
| 14 | 2 | w | 1141 |
| ἓν | 2 | w | 1143 |
| καὶ | 24 | w | 1146 |
| δύο | 3 | w | 1149 |
| καὶ | 25 | w | 1152 |
| τρία | 3 | w | 1156 |
| καὶ | 26 | w | 1159 |
| τέτταρα | 3 | w | 1166 |
| G | 5 | w | 1167 |
| ἑνὸς | 2 | w | 1172 |
| καὶ | 27 | w | 1175 |
| δυοῖν | 2 | w | 1180 |
| δυεῖν | 2 | w | 1185 |
| 11 | 2 | w | 1187 |
| καὶ | 28 | w | 1191 |
| τριῶν | 2 | w | 1196 |
| καὶ | 29 | w | 1199 |
| τεττάρων | 2 | w | 1207 |
| APFH | 1 | w | 1211 |
| v | 4 | w | 1213 |
| 15 | 1 | w | 1216 |
| δ | 43 | w | 1217 |
| M | 14 | w | 1219 |
| δὲ | 8 | w | 1222 |
| ceteri | 3 | w | 1228 |
| 15 | 2 | w | 1230 |
| 16 | 1 | w | 1233 |
| ι | 54 | w | 1234 |
| γὰρ | 4 | w | 1238 |
| καὶ | 30 | w | 1241 |
| κ | 57 | w | 1242 |
| G | 6 | w | 1244 |
| δεκάδα | 4 | w | 1251 |
| γὰρ | 5 | w | 1254 |
| καὶ | 31 | w | 1257 |
| εἰκοσάδα | 1 | w | 1265 |
| M | 15 | w | 1266 |
| 16 | 2 | w | 1268 |
| λ | 10 | w | 1269 |
| MG | 1 | w | 1272 |
| μ | 28 | w | 1273 |
| MG | 2 | w | 1276 |
| γίνονται | 2 | w | 1284 |
| F | 6 | w | 1285 |
| γίνεται | 1 | w | 1293 |
| MG | 3 | w | 1295 |
| γεννῶσιν | 2 | w | 1304 |
| H | 5 | w | 1305 |
| v | 5 | w | 1307 |
| om | 4 | w | 1311 |
| AP | 7 | w | 1314 |
| ρ | 57 | w | 1315 |
| MAP | 2 | w | 1319 |
| 18 | 1 | w | 1321 |
| δ | 48 | w | 1322 |
| M | 20 | w | 1324 |
| δεκάδα | 5 | w | 1330 |
| ι | 58 | w | 1332 |
| M | 21 | w | 1334 |
| 20 | 1 | w | 1336 |
| κόσμον | 2 | w | 1342 |
| M | 22 | w | 1343 |
| om | 5 | w | 1346 |
| ceteri | 4 | w | 1353 |
| v | 6 | w | 1355 |
| ὃς | 2 | w | 1358 |
| ὡς | 1 | w | 1361 |
| F | 7 | w | 1362 |
| μόνη | 1 | w | 1366 |
| MAPFG | 1 | w | 1371 |
| μόνον | 1 | w | 1377 |
| Η | 3 | w | 1378 |
| v | 7 | w | 1380 |
| μετρεῖται | 4 | w | 1390 |
| μόνη | 2 | w | 1394 |
| transp | 1 | w | 1400 |
| G | 11 | w | 1402 |
| 21 | 1 | w | 1404 |
| τρεῖς | 3 | w | 1409 |
| FH | 2 | w | 1411 |
| γ | 18 | w | 1413 |
| M | 24 | w | 1415 |
| τρία | 4 | w | 1420 |
| APG | 1 | w | 1423 |
| Mang | 3 | w | 1428 |
| ε | 67 | w | 1431 |
| M | 26 | w | 1433 |
| ζ | 1 | w | 1434 |
| M | 27 | w | 1436 |
| τέσσαρα | 3 | w | 1443 |
| APG | 2 | w | 1446 |
| δ | 51 | w | 1448 |
| M | 28 | w | 1450 |
| τέταρτον | 1 | w | 1459 |
| FH | 3 | w | 1461 |
| v | 8 | w | 1463 |
| 22 | 1 | w | 1466 |
| τὸν | 8 | w | 1469 |
| κύβον | 2 | w | 1474 |
| M | 29 | w | 1476 |
| τὸν | 9 | w | 1480 |
| om | 6 | w | 1482 |
| ceteri | 5 | w | 1489 |
| v | 9 | w | 1491 |
| ὀκτώ | 2 | w | 1496 |
| FG | 4 | w | 1498 |
| η | 6 | w | 1500 |
| M | 30 | w | 1502 |
| ὄγδοον | 1 | w | 1509 |
| G | 15 | w | 1510 |
| mg | 1 | w | 1512 |
| P | 12 | w | 1514 |
| v | 10 | w | 1516 |
| αὐτώ | 1 | w | 1522 |
| sic | 1 | w | 1526 |
| Α | 1 | w | 1528 |
| αὐτόν | 1 | w | 1534 |
| P | 13 | w | 1535 |
| pr | 1 | w | 1537 |
| ἰσάκις | 4 | w | 1544 |
| om | 7 | w | 1546 |
| M | 31 | w | 1548 |
| 23 | 1 | w | 1550 |
| τὸν | 10 | w | 1553 |
| ἐξισούμενον | 1 | w | 1564 |
| M | 32 | w | 1565 |
| αὐτοῦ | 1 | w | 1570 |
| MF | 1 | w | 1572 |
| γ | 20 | w | 1573 |
| καὶ | 32 | w | 1577 |
| β | 8 | w | 1578 |
| καὶ | 33 | w | 1582 |
| α | 115 | w | 1583 |
| M | 34 | w | 1585 |
| καὶ | 34 | w | 1588 |
| ἑνί | 1 | w | 1591 |
| τί | 1 | w | 1594 |
| δὲ | 9 | w | 1596 |
| δεῖ | 1 | w | 1599 |
| καταλέγεσθαι | 1 | w | 1611 |
| τὰς | 2 | w | 1614 |
| δεκάδος | 1 | w | 1621 |
| ἀρετὰς | 1 | w | 1627 |
| ἀπείρους | 1 | w | 1635 |
| τὸ | 12 | w | 1637 |
| πλῆθος | 1 | w | 1643 |
| πάρεργον | 1 | w | 1652 |
| ποιουμένους | 1 | w | 1663 |
| ἔργον | 1 | w | 1668 |
| μέγιστον | 1 | w | 1676 |
| ὃ | 3 | w | 1678 |
| καθ | 1 | w | 1681 |
| αὑτὸ | 1 | w | 1686 |
| συμβέβηκεν | 1 | w | 1696 |
| αὐταρκεστάτην | 1 | w | 1709 |
| εἶναι | 1 | w | 1714 |
| ὑπόθεσιν | 1 | w | 1722 |
| τοῖς | 4 | w | 1726 |
| περὶ | 1 | w | 1730 |
| τὰ | 5 | w | 1732 |
| μαθήματα | 1 | w | 1740 |
| διατρίβουσι | 1 | w | 1751 |
| τὰς | 4 | w | 1755 |
| μὲν | 4 | w | 1758 |
| οὖν | 1 | w | 1761 |
| ἄλλας | 1 | w | 1766 |
| ὑπερθετέον | 1 | w | 1776 |
| μιᾶς | 1 | w | 1781 |
| δ | 58 | w | 1782 |
| οὐκ | 1 | w | 1786 |
| ἄτοπον | 1 | w | 1792 |
| ἴσως | 1 | w | 1796 |
| ἐπιμνησθῆναι | 1 | w | 1808 |
| δείγματος | 1 | w | 1817 |
| ἕνεκα | 1 | w | 1822 |
| τὰς | 5 | w | 1826 |
| γὰρ | 6 | w | 1829 |
| ἐν | 1 | w | 1831 |
| τῇ | 1 | w | 1833 |
| φύσει | 1 | w | 1838 |
| λεγομένας | 1 | w | 1847 |
| κατηγορίας | 1 | w | 1857 |
| δέκα | 2 | w | 1861 |
| μόνας | 1 | w | 1866 |
| εἶναί | 1 | w | 1871 |
| φασιν | 1 | w | 1876 |
| οἱ | 4 | w | 1878 |
| ἐνδιατρίβοντες | 1 | w | 1892 |
| τοῖς | 5 | w | 1896 |
| τῆς | 2 | w | 1899 |
| φιλοσοφίας | 1 | w | 1909 |
| δόγμασιν | 1 | w | 1917 |
| οὐσίαν | 1 | w | 1924 |
| ποιόν | 1 | w | 1930 |
| ποσόν | 1 | w | 1936 |
| πρός | 1 | w | 1941 |
| τι | 8 | w | 1943 |
| ποιεῖν | 1 | w | 1950 |
| πάσχειν | 1 | w | 1958 |
| ἔχειν | 1 | w | 1964 |
| κεῖσθαι | 1 | w | 1972 |
| τὰ | 8 | w | 1975 |
| ὧν | 2 | w | 1977 |
| οὐκ | 2 | w | 1980 |
| ἄνευ | 1 | w | 1984 |
| πάντα | 1 | w | 1989 |
| χρόνον | 1 | w | 1996 |
| καὶ | 35 | w | 1999 |
| τόπον | 1 | w | 2004 |