| Refs | {'start': {'reference': '121', 'human_reference': 'Section 121'}, 'end': {'reference': '125', 'human_reference': 'Section 125'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| πρεσβύτατός | 1 | w | 11 |
| τε | 1 | w | 13 |
| αὖ | 1 | w | 15 |
| τετραγώνων | 1 | w | 25 |
| ὁ | 1 | w | 26 |
| ἀριθμὸς | 1 | w | 33 |
| ὢν | 1 | w | 35 |
| ἐν | 1 | w | 37 |
| ὀρθαῖς | 1 | w | 43 |
| γωνίαις | 1 | w | 50 |
| ὡς | 1 | w | 53 |
| τὸ | 1 | w | 55 |
| κατὰ | 1 | w | 59 |
| γεωμετρίαν | 1 | w | 69 |
| δηλοῖ | 1 | w | 74 |
| σχῆμα | 1 | w | 79 |
| ἐξετάζεται | 1 | w | 90 |
| αἱ | 1 | w | 93 |
| δ | 2 | w | 94 |
| εἰσὶν | 1 | w | 100 |
| ὀρθότητος | 1 | w | 109 |
| λόγου | 1 | w | 114 |
| σαφῆ | 1 | w | 118 |
| δείγματα | 1 | w | 126 |
| πηγὴ | 1 | w | 131 |
| δὲ | 1 | w | 133 |
| ἀέναος | 1 | w | 139 |
| ἀρετῶν | 1 | w | 145 |
| ὁ | 2 | w | 146 |
| ὀρθὸς | 1 | w | 151 |
| λόγος | 1 | w | 156 |
| ἀνάγκη | 1 | w | 163 |
| μέντοι | 1 | w | 169 |
| τὰς | 1 | w | 172 |
| τοῦ | 1 | w | 175 |
| τετραγώνου | 1 | w | 185 |
| πλευρὰς | 1 | w | 192 |
| ἴσας | 1 | w | 196 |
| εἶναι | 1 | w | 201 |
| δικαιοσύνην | 1 | w | 213 |
| δὲ | 2 | w | 215 |
| ἰσότης | 1 | w | 221 |
| τὴν | 1 | w | 224 |
| ἔξαρχον | 1 | w | 231 |
| καὶ | 1 | w | 234 |
| ἡγεμονίδα | 1 | w | 243 |
| τῶν | 2 | w | 246 |
| ἀρετῶν | 2 | w | 252 |
| ἔτεκεν | 1 | w | 258 |
| ὥστε | 1 | w | 263 |
| ἰσότητος | 1 | w | 271 |
| καὶ | 2 | w | 274 |
| δικαιοσύνης | 1 | w | 285 |
| καὶ | 3 | w | 288 |
| πάσης | 1 | w | 293 |
| ἀρετῆς | 1 | w | 299 |
| χωρὶς | 1 | w | 304 |
| τῶν | 4 | w | 307 |
| ἄλλων | 1 | w | 312 |
| ἐπιδείκνυται | 1 | w | 324 |
| τὸν | 1 | w | 327 |
| ἀριθμὸν | 1 | w | 334 |
| εἶναι | 2 | w | 339 |
| σύμβολον | 1 | w | 347 |
| καλεῖται | 1 | w | 356 |
| δ | 10 | w | 357 |
| ἡ | 2 | w | 359 |
| τετρὰς | 1 | w | 365 |
| καὶ | 4 | w | 368 |
| πᾶς | 1 | w | 372 |
| ὅτι | 1 | w | 377 |
| τοὺς | 1 | w | 381 |
| ἄχρι | 1 | w | 385 |
| δεκάδος | 1 | w | 392 |
| καὶ | 5 | w | 395 |
| αὐτὴν | 1 | w | 400 |
| δεκάδα | 1 | w | 406 |
| περιέχει | 1 | w | 414 |
| δυνάμει | 1 | w | 421 |
| ὅτι | 2 | w | 425 |
| μὲν | 1 | w | 428 |
| οὖν | 1 | w | 431 |
| τοὺς | 2 | w | 435 |
| πρὸ | 1 | w | 438 |
| αὐτῆς | 1 | w | 443 |
| παντί | 1 | w | 449 |
| τῳ | 1 | w | 451 |
| δῆλον | 1 | w | 456 |
| ὅτι | 3 | w | 460 |
| δὲ | 3 | w | 462 |
| καὶ | 6 | w | 465 |
| τοὺς | 3 | w | 469 |
| μετ | 2 | w | 472 |
| αὐτήν | 1 | w | 478 |
| ἐξ | 2 | w | 481 |
| ἐπιλογισμοῦ | 1 | w | 492 |
| ῥᾴδιον | 1 | w | 498 |
| ἰδεῖν | 1 | w | 503 |
| ἐν | 2 | w | 506 |
| ἀριθμῷ | 1 | w | 512 |
| μὲν | 2 | w | 515 |
| ἕξ | 1 | w | 517 |
| ἕν | 1 | w | 521 |
| δύο | 1 | w | 525 |
| τρία | 2 | w | 530 |
| τέτταρα | 1 | w | 538 |
| συντιθέντες | 1 | w | 549 |
| ὃ | 1 | w | 550 |
| ἠποροῦμεν | 1 | w | 559 |
| εὑρήσομεν | 1 | w | 568 |
| ἐκ | 1 | w | 571 |
| μὲν | 3 | w | 574 |
| γὰρ | 1 | w | 577 |
| ἑνὸς | 1 | w | 581 |
| καὶ | 7 | w | 584 |
| τεττάρων | 1 | w | 592 |
| πεντὰς | 1 | w | 598 |
| ἔσται | 1 | w | 603 |
| ἐκ | 2 | w | 606 |
| δὲ | 4 | w | 608 |
| δυεῖν | 1 | w | 613 |
| καὶ | 8 | w | 616 |
| τεττάρων | 2 | w | 624 |
| ἑξάς | 1 | w | 628 |
| ἑβδομὰς | 1 | w | 636 |
| δὲ | 5 | w | 638 |
| ἐκ | 3 | w | 640 |
| τριῶν | 1 | w | 645 |
| καὶ | 9 | w | 648 |
| τεττάρων | 3 | w | 656 |
| καὶ | 10 | w | 660 |
| κατὰ | 2 | w | 664 |
| τὴν | 3 | w | 667 |
| διπλῆν | 1 | w | 673 |
| σύνθεσιν | 1 | w | 681 |
| ἐξ | 3 | w | 683 |
| 1 | 1 | w | 684 |
| ante | 1 | w | 688 |
| φῶς | 1 | w | 691 |
| ras | 1 | w | 694 |
| in | 1 | w | 697 |
| H | 1 | w | 698 |
| 3 | 1 | w | 699 |
| ἀστέρων | 1 | w | 706 |
| scripsi | 1 | w | 713 |
| ἄστρων | 1 | w | 720 |
| codd | 1 | w | 724 |
| ἔτι | 1 | w | 728 |
| δὲ | 6 | w | 730 |
| conicio | 1 | w | 737 |
| μῆνας | 1 | w | 742 |
| Η | 1 | w | 743 |
| μῆνα | 2 | w | 748 |
| MGUF | 1 | w | 752 |
| ἐνιαυτὸν | 1 | w | 760 |
| F | 2 | w | 761 |
| post | 1 | w | 765 |
| ἐνιαυτοὺς | 1 | w | 774 |
| add | 1 | w | 777 |
| καὶ | 11 | w | 781 |
| v | 1 | w | 782 |
| 4 | 1 | w | 783 |
| ἐπαρέτωσαν | 1 | w | 793 |
| UF | 2 | w | 795 |
| ἀριθμῶν | 1 | w | 802 |
| coni | 2 | w | 806 |
| Mang | 1 | w | 811 |
| 5 | 1 | w | 813 |
| τῆς | 3 | w | 816 |
| ψυχῆς | 1 | w | 821 |
| F | 4 | w | 822 |
| ἀγαθὸν | 1 | w | 828 |
| Turn | 1 | w | 832 |
| ἀπάτη | 1 | w | 839 |
| codd | 2 | w | 843 |
| ἀγαθὸν | 2 | w | 851 |
| x003E | 1 | w | 857 |
| conicio | 2 | w | 865 |
| 6 | 1 | w | 866 |
| αὐτὸν | 1 | w | 871 |
| MFH | 1 | w | 874 |
| αὐτὴν | 2 | w | 880 |
| GU | 2 | w | 882 |
| 7 | 1 | w | 883 |
| ἐνιαυτῶν | 1 | w | 891 |
| U | 4 | w | 892 |
| 8 | 1 | w | 893 |
| λόγω | 1 | w | 897 |
| G1FL2 | 1 | w | 902 |
| καὶ | 12 | w | 905 |
| γὰρ | 2 | w | 908 |
| Η | 2 | w | 909 |
| τε | 11 | w | 911 |
| αὐτὸν | 2 | w | 917 |
| 9 | 1 | w | 918 |
| τοῦ | 2 | w | 921 |
| τῆς | 4 | w | 925 |
| M | 4 | w | 926 |
| ἐξ | 4 | w | 928 |
| H2 | 1 | w | 930 |
| om | 1 | w | 933 |
| συμβέβηκεν | 1 | w | 945 |
| M | 5 | w | 946 |
| γῆν | 1 | w | 949 |
| γῆν | 2 | w | 953 |
| τε | 12 | w | 955 |
| GU | 3 | w | 957 |
| 10 | 1 | w | 959 |
| καὶ | 13 | w | 962 |
| πῦρ | 1 | w | 965 |
| G | 5 | w | 966 |
| ὥρας | 1 | w | 970 |
| H2 | 2 | w | 972 |
| om | 2 | w | 975 |
| MGUFH1 | 1 | w | 982 |
| 11 | 1 | w | 984 |
| μεθωρίους | 1 | w | 993 |
| G | 7 | w | 994 |
| πρεσβύτατος | 1 | w | 1005 |
| πρῶτος | 1 | w | 1012 |
| coni | 4 | w | 1016 |
| Mang | 2 | w | 1021 |
| 12 | 1 | w | 1024 |
| ὁ | 3 | w | 1025 |
| om | 3 | w | 1027 |
| H | 6 | w | 1029 |
| 13 | 1 | w | 1031 |
| M | 8 | w | 1032 |
| 14 | 1 | w | 1034 |
| ἀέναος | 2 | w | 1040 |
| G | 8 | w | 1041 |
| ἀένναος | 1 | w | 1049 |
| ceteri | 1 | w | 1055 |
| 6 | 2 | w | 1056 |
| om | 4 | w | 1058 |
| F | 8 | w | 1060 |
| 15 | 1 | w | 1062 |
| δικαιοσύνην | 2 | w | 1073 |
| H | 7 | w | 1074 |
| δικαιοσύνη | 4 | w | 1085 |
| MGUF | 3 | w | 1089 |
| ἰσότης | 2 | w | 1095 |
| H | 8 | w | 1096 |
| ἰσότητος | 2 | w | 1105 |
| MGUF | 4 | w | 1109 |
| 17 | 1 | w | 1111 |
| τῶν | 6 | w | 1114 |
| Turn | 2 | w | 1118 |
| ὦν | 1 | w | 1122 |
| MUFH | 1 | w | 1126 |
| ὢν | 2 | w | 1129 |
| G | 11 | w | 1130 |
| x003E | 2 | w | 1136 |
| τὸν | 5 | w | 1140 |
| coni | 5 | w | 1144 |
| Mang | 3 | w | 1149 |
| 18 | 1 | w | 1152 |
| δ | 29 | w | 1153 |
| ἡ | 3 | w | 1155 |
| F | 12 | w | 1156 |
| δὴ | 1 | w | 1159 |
| M | 13 | w | 1160 |
| δὲ | 7 | w | 1163 |
| GUH | 1 | w | 1166 |
| πρὸ | 2 | w | 1169 |
| MGUF | 5 | w | 1173 |
| τὰ | 5 | w | 1176 |
| H | 11 | w | 1177 |
| 19 | 1 | w | 1179 |
| τοὺς | 5 | w | 1183 |
| GUF | 6 | w | 1186 |
| τὰς | 3 | w | 1190 |
| HL1 | 1 | w | 1193 |
| τὴν | 5 | w | 1197 |
| L2 | 2 | w | 1199 |
| τὰ | 7 | w | 1202 |
| Mang | 4 | w | 1206 |
| τοὺς | 6 | w | 1211 |
| πρὸ | 3 | w | 1214 |
| αὐτῆς | 2 | w | 1219 |
| spat | 1 | w | 1224 |
| 6 | 3 | w | 1226 |
| litt | 1 | w | 1230 |
| M | 16 | w | 1232 |
| αὑτῆς | 1 | w | 1237 |
| Turn | 3 | w | 1241 |
| μονάδα | 1 | w | 1248 |
| post | 2 | w | 1252 |
| αὐτῆς | 3 | w | 1257 |
| add | 2 | w | 1260 |
| GUF | 7 | w | 1264 |
| τω | 2 | w | 1266 |
| MGUF | 6 | w | 1270 |
| τε | 13 | w | 1273 |
| H | 13 | w | 1274 |
| γε | 3 | w | 1277 |
| v | 2 | w | 1278 |
| 19 | 2 | w | 1280 |
| 20 | 1 | w | 1283 |
| δὲ | 8 | w | 1285 |
| καὶ | 14 | w | 1288 |
| τοὺς | 7 | w | 1292 |
| H | 14 | w | 1293 |
| δὲ | 9 | w | 1296 |
| καὶ | 15 | w | 1299 |
| τοῦ | 3 | w | 1302 |
| MF | 2 | w | 1304 |
| δέκα | 1 | w | 1309 |
| τοῦ | 4 | w | 1312 |
| G | 17 | w | 1313 |
| δ | 36 | w | 1315 |
| ἑκατοῦ | 1 | w | 1322 |
| U | 15 | w | 1323 |
| 20 | 2 | w | 1325 |
| ῥαδίως | 1 | w | 1331 |
| Η | 3 | w | 1332 |
| ἐμ | 1 | w | 1334 |
| ἓξ | 1 | w | 1336 |
| secl | 1 | w | 1340 |
| Cohn | 1 | w | 1345 |
| ἀριθμῶ | 2 | w | 1351 |
| μὲν | 4 | w | 1354 |
| ἐξ | 5 | w | 1356 |
| MGUF | 7 | w | 1360 |
| ἀριθμῶ | 3 | w | 1367 |
| HL1 | 2 | w | 1370 |
| ἀριθμῶ | 4 | w | 1377 |
| ἓξ | 2 | w | 1379 |
| L2 | 3 | w | 1381 |
| ἀριθμῶν | 2 | w | 1389 |
| συνθέσει | 1 | w | 1397 |
| coniciebam | 1 | w | 1407 |
| 21 | 1 | w | 1409 |
| συντεθέντες | 1 | w | 1420 |
| H | 16 | w | 1421 |
| post | 3 | w | 1425 |
| ἠποροῦμεν | 2 | w | 1434 |
| add | 3 | w | 1437 |
| καὶ | 16 | w | 1441 |
| F | 19 | w | 1442 |
| 22 | 1 | w | 1444 |
| πεντὰς | 2 | w | 1450 |
| τεττάρων | 4 | w | 1459 |
| om | 5 | w | 1461 |
| MF | 3 | w | 1464 |
| δυεῖν | 2 | w | 1469 |
| U | 17 | w | 1470 |
| δυοῖν | 1 | w | 1476 |
| GH | 1 | w | 1478 |
| 23 | 1 | w | 1480 |
| διπλῆν | 2 | w | 1486 |
| MGUF | 8 | w | 1490 |
| τριπλῆν | 1 | w | 1498 |
| Η | 4 | w | 1499 |
| ἑνὸς | 2 | w | 1503 |
| καὶ | 17 | w | 1506 |
| τριῶν | 2 | w | 1511 |
| καὶ | 18 | w | 1514 |
| τεττάρων | 5 | w | 1522 |
| ὀγδοάς | 1 | w | 1528 |
| καὶ | 19 | w | 1532 |
| πάλιν | 1 | w | 1537 |
| ἐκ | 4 | w | 1539 |
| δυεῖν | 3 | w | 1544 |
| καὶ | 20 | w | 1547 |
| τριῶν | 3 | w | 1552 |
| καὶ | 21 | w | 1555 |
| τεττάρων | 6 | w | 1563 |
| ὁ | 4 | w | 1564 |
| ἐννέα | 1 | w | 1569 |
| ἀριθμός | 1 | w | 1576 |
| δεκὰς | 1 | w | 1582 |
| δὲ | 10 | w | 1584 |
| ἐκ | 5 | w | 1586 |
| πάντων | 1 | w | 1592 |
| ἓν | 1 | w | 1595 |
| γὰρ | 3 | w | 1598 |
| καὶ | 22 | w | 1601 |
| δύο | 2 | w | 1604 |
| καὶ | 23 | w | 1607 |
| τρία | 3 | w | 1611 |
| καὶ | 24 | w | 1614 |
| τέτταρα | 2 | w | 1621 |
| δέκα | 2 | w | 1625 |
| γεννᾷ | 1 | w | 1630 |
| διὰ | 1 | w | 1634 |
| τοῦτο | 1 | w | 1639 |
| καὶ | 25 | w | 1642 |
| Μωυσῆς | 1 | w | 1648 |
| εἶπεν | 1 | w | 1653 |
| ὅτι | 4 | w | 1657 |
| ἔτει | 1 | w | 1662 |
| τῷ | 1 | w | 1664 |
| τετάρτῳ | 1 | w | 1671 |
| ἔσται | 2 | w | 1676 |
| πᾶς | 2 | w | 1679 |
| ὁ | 5 | w | 1680 |
| καρπὸς | 1 | w | 1686 |
| αὐτοῦ | 1 | w | 1691 |
| ἅγιος | 1 | w | 1696 |
| ἄρτιον | 1 | w | 1704 |
| γὰρ | 4 | w | 1707 |
| καὶ | 26 | w | 1710 |
| ὁλόκληρον | 1 | w | 1719 |
| καὶ | 27 | w | 1722 |
| πλήρη | 1 | w | 1727 |
| ὡς | 2 | w | 1730 |
| καὶ | 28 | w | 1733 |
| σύμπαντα | 1 | w | 1741 |
| ὡς | 3 | w | 1744 |
| τύπῳ | 1 | w | 1748 |
| φάναι | 1 | w | 1753 |
| λόγον | 1 | w | 1759 |
| ἔχει | 1 | w | 1763 |
| διὰ | 2 | w | 1767 |
| τὸ | 7 | w | 1769 |
| δεκάδα | 2 | w | 1775 |
| ἣν | 1 | w | 1778 |
| τετρὰς | 2 | w | 1784 |
| ἐγέννησε | 1 | w | 1792 |
| πρῶτον | 1 | w | 1799 |
| καμπτῆρα | 1 | w | 1807 |
| τῶν | 7 | w | 1810 |
| ἀπὸ | 1 | w | 1813 |
| μονάδος | 1 | w | 1820 |
| συντιθεμένων | 1 | w | 1832 |
| ἀριθμῶν | 3 | w | 1839 |
| ἑστάναι | 1 | w | 1846 |
| δεκὰς | 2 | w | 1852 |
| δὲ | 11 | w | 1854 |
| καὶ | 29 | w | 1857 |
| τετρὰς | 3 | w | 1863 |
| πᾶς | 3 | w | 1867 |
| ἐν | 7 | w | 1870 |
| ἀριθμοῖς | 1 | w | 1878 |
| εἶναι | 3 | w | 1883 |
| λέγεται | 1 | w | 1890 |
| ἀλλὰ | 1 | w | 1895 |
| δεκὰς | 3 | w | 1900 |
| μὲν | 5 | w | 1903 |
| ἀποτελέσματι | 1 | w | 1915 |
| τετρὰς | 4 | w | 1922 |
| δὲ | 12 | w | 1924 |
| δυνάμει | 2 | w | 1931 |