| Refs | {'start': {'reference': '61', 'human_reference': 'Page 61'}, 'end': {'reference': '65', 'human_reference': 'Page 65'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| οὖσα | 1 | w | 4 |
| καὶ | 1 | w | 7 |
| ἑνότης | 1 | w | 13 |
| εἴγε | 1 | w | 18 |
| τὸ | 1 | w | 20 |
| ἴσον | 1 | w | 24 |
| ἓν | 1 | w | 26 |
| πρὸς | 1 | w | 30 |
| ἕν | 1 | w | 32 |
| ἐστιν | 1 | w | 37 |
| ἑτέρας | 1 | w | 44 |
| φύσεως | 1 | w | 50 |
| ἔσται | 1 | w | 55 |
| καὶ | 2 | w | 58 |
| τῆς | 1 | w | 61 |
| ἐναντίας | 1 | w | 69 |
| γε | 2 | w | 71 |
| τῇ | 1 | w | 73 |
| ἀνισότητι | 1 | w | 82 |
| καὶ | 3 | w | 86 |
| διὰ | 1 | w | 89 |
| τοῦτο | 1 | w | 94 |
| οὐ | 1 | w | 96 |
| συγκαταριθμηθήσεται | 1 | w | 115 |
| τοῖς | 1 | w | 119 |
| εἴδεσι | 1 | w | 125 |
| τῆς | 2 | w | 128 |
| ἀνισότητος | 1 | w | 138 |
| καὶ | 4 | w | 142 |
| μὴν | 1 | w | 145 |
| καὶ | 5 | w | 148 |
| ἀρχῆς | 1 | w | 153 |
| λόγον | 1 | w | 158 |
| ἕξει | 1 | w | 162 |
| ἡ | 1 | w | 163 |
| ἰσότης | 1 | w | 169 |
| πρὸς | 2 | w | 173 |
| τὴν | 1 | w | 176 |
| ἀνισότητα | 1 | w | 185 |
| καθάπερ | 1 | w | 193 |
| καὶ | 6 | w | 196 |
| ἐν | 2 | w | 198 |
| γραμμικοῖς | 1 | w | 208 |
| ἡ | 2 | w | 209 |
| ὀρθὴ | 1 | w | 213 |
| γωνία | 1 | w | 218 |
| πρὸς | 3 | w | 222 |
| ἀμβλεῖαν | 1 | w | 230 |
| καὶ | 7 | w | 233 |
| ὀξεῖαν | 1 | w | 239 |
| καὶ | 8 | w | 243 |
| ἐν | 3 | w | 245 |
| μουσικοῖς | 1 | w | 254 |
| διαστήμασιν | 1 | w | 265 |
| ἡ | 3 | w | 266 |
| μέση | 1 | w | 270 |
| πρὸς | 4 | w | 274 |
| τοὺς | 1 | w | 278 |
| ἐπιτεινομένους | 1 | w | 292 |
| φθόγγους | 1 | w | 300 |
| καὶ | 9 | w | 303 |
| ἀνιεμένους | 1 | w | 313 |
| καὶ | 10 | w | 317 |
| γὰρ | 1 | w | 320 |
| ταῦτα | 1 | w | 325 |
| ἀπό | 1 | w | 328 |
| τινος | 1 | w | 333 |
| ὡρισμένου | 1 | w | 342 |
| καὶ | 11 | w | 345 |
| πεπερασμένου | 1 | w | 357 |
| λαβόντα | 1 | w | 364 |
| κατὰ | 1 | w | 368 |
| τὸν | 1 | w | 371 |
| τῆς | 3 | w | 374 |
| ἰσότητος | 1 | w | 382 |
| λόγον | 2 | w | 387 |
| ἀπὸ | 1 | w | 391 |
| τούτου | 1 | w | 397 |
| τὴν | 2 | w | 400 |
| παρατροπὴν | 1 | w | 410 |
| ἐπί | 1 | w | 413 |
| τε | 2 | w | 415 |
| τὸ | 3 | w | 417 |
| μεῖζον | 1 | w | 423 |
| καὶ | 12 | w | 426 |
| τὸ | 4 | w | 428 |
| ἴσον | 2 | w | 432 |
| ἴσχοντα | 1 | w | 439 |
| κατὰ | 2 | w | 443 |
| τὴν | 3 | w | 446 |
| ἀνισότητα | 2 | w | 455 |
| ἐπ | 3 | w | 457 |
| ἄπειρον | 1 | w | 465 |
| πρόεισιν | 1 | w | 473 |
| ἵν | 1 | w | 476 |
| οὖν | 1 | w | 480 |
| δεδειγμένον | 1 | w | 491 |
| ᾖ | 1 | w | 492 |
| τὸ | 5 | w | 494 |
| τὰς | 1 | w | 497 |
| τῆς | 4 | w | 500 |
| ἀνισότητος | 2 | w | 510 |
| σχέσεις | 1 | w | 517 |
| ἐκ | 1 | w | 519 |
| τῆς | 5 | w | 522 |
| ἰσότητος | 2 | w | 530 |
| φυσικῇ | 1 | w | 536 |
| ἀνάγκῃ | 1 | w | 542 |
| γίνεσθαι | 1 | w | 550 |
| καὶ | 13 | w | 553 |
| οὐχ | 1 | w | 556 |
| ἡμῶν | 1 | w | 560 |
| θεμένων | 1 | w | 567 |
| καὶ | 14 | w | 571 |
| πρῶτόν | 1 | w | 577 |
| γε | 3 | w | 579 |
| τὴν | 4 | w | 582 |
| πολλαπλασιότητα | 1 | w | 597 |
| ἀπὸ | 2 | w | 600 |
| διπλασίου | 1 | w | 609 |
| ἀρξαμένην | 1 | w | 618 |
| ἀφ | 1 | w | 621 |
| ἧς | 1 | w | 624 |
| πάλιν | 1 | w | 629 |
| τὴν | 5 | w | 632 |
| ἐπιμοριότητα | 1 | w | 644 |
| ἀπὸ | 3 | w | 647 |
| ἡμιολίου | 1 | w | 655 |
| τὴν | 6 | w | 658 |
| ἀρχὴν | 1 | w | 663 |
| ἴσχουσαν | 1 | w | 671 |
| καὶ | 15 | w | 675 |
| ἀπὸ | 4 | w | 678 |
| ταύτης | 1 | w | 684 |
| τὴν | 7 | w | 687 |
| ἐπιμερότητα | 1 | w | 698 |
| κατὰ | 3 | w | 702 |
| τὴν | 8 | w | 705 |
| ἀνάλογον | 1 | w | 713 |
| τάξιν | 1 | w | 718 |
| καὶ | 16 | w | 721 |
| ἑξῆς | 1 | w | 725 |
| ἀπὸ | 5 | w | 728 |
| τούτων | 1 | w | 734 |
| τὰς | 2 | w | 737 |
| μικτάς | 1 | w | 743 |
| ἐκθετέον | 1 | w | 752 |
| τρεῖς | 1 | w | 757 |
| ὅρους | 1 | w | 762 |
| καὶ | 17 | w | 766 |
| πρῶτόν | 2 | w | 772 |
| γε | 4 | w | 774 |
| ἐν | 4 | w | 776 |
| μονάσιν | 1 | w | 783 |
| εἶτα | 1 | w | 787 |
| ἐν | 5 | w | 790 |
| δυάσι | 1 | w | 796 |
| καὶ | 18 | w | 799 |
| πάλιν | 2 | w | 804 |
| ἐν | 6 | w | 806 |
| τριάσι | 1 | w | 812 |
| καὶ | 19 | w | 815 |
| ἑξῆς | 2 | w | 819 |
| ἀκολούθως | 1 | w | 828 |
| καὶ | 20 | w | 832 |
| παρ | 2 | w | 835 |
| ἑκάστην | 1 | w | 843 |
| ἔκθεσιν | 1 | w | 850 |
| ἄλλους | 1 | w | 856 |
| τρεῖς | 2 | w | 861 |
| ὅρους | 2 | w | 866 |
| πλαστέον | 1 | w | 874 |
| διὰ | 2 | w | 877 |
| τριῶν | 1 | w | 882 |
| προσταγμάτων | 1 | w | 894 |
| ἀεὶ | 1 | w | 897 |
| τῶν | 1 | w | 900 |
| αὐτῶν | 1 | w | 905 |
| καὶ | 21 | w | 909 |
| παρὰ | 1 | w | 913 |
| τοὺς | 2 | w | 917 |
| πλασθέντας | 1 | w | 927 |
| ἑκατέρους | 1 | w | 936 |
| τρεῖς | 3 | w | 941 |
| καὶ | 22 | w | 944 |
| ἐκ | 3 | w | 946 |
| τούτων | 2 | w | 952 |
| ἄλλους | 2 | w | 958 |
| καὶ | 23 | w | 961 |
| ἀεὶ | 2 | w | 964 |
| ἑξῆς | 3 | w | 968 |
| ἀκολούθως | 2 | w | 977 |
| ἐφ | 1 | w | 980 |
| ἑκάστης | 1 | w | 988 |
| δὲ | 1 | w | 990 |
| πλάσεως | 1 | w | 997 |
| πειρατέον | 1 | w | 1006 |
| κατὰ | 4 | w | 1010 |
| φύσιν | 1 | w | 1015 |
| τε | 3 | w | 1017 |
| καὶ | 24 | w | 1020 |
| ἀναστρόφως | 1 | w | 1030 |
| τοὺς | 3 | w | 1034 |
| ὅρους | 3 | w | 1039 |
| ἐκτίθεσθαι | 1 | w | 1049 |
| καὶ | 25 | w | 1053 |
| δευτέραν | 1 | w | 1061 |
| ἔκθεσιν | 2 | w | 1068 |
| τοῖς | 2 | w | 1072 |
| αὐτοῖς | 1 | w | 1078 |
| προστάγμασι | 1 | w | 1089 |
| χρωμένους | 1 | w | 1098 |
| πλάσσειν | 1 | w | 1106 |
| τοὺς | 4 | w | 1110 |
| ἀπ | 7 | w | 1112 |
| αὐτῶν | 2 | w | 1118 |
| ἔσται | 2 | w | 1124 |
| δὲ | 2 | w | 1126 |
| τὰ | 7 | w | 1128 |
| προστάγματα | 1 | w | 1139 |
| τάδε | 1 | w | 1143 |
| ποιήσας | 1 | w | 1151 |
| πρῶτον | 1 | w | 1157 |
| ὅρον | 1 | w | 1161 |
| πρώτῳ | 1 | w | 1166 |
| τῶν | 4 | w | 1169 |
| ἐκκειμένων | 1 | w | 1179 |
| ἴσον | 3 | w | 1183 |
| δεύτερον | 1 | w | 1192 |
| δὲ | 3 | w | 1194 |
| πρώτῳ | 2 | w | 1199 |
| ἅμα | 1 | w | 1202 |
| καὶ | 26 | w | 1205 |
| δευτέρῳ | 1 | w | 1212 |
| τὸν | 2 | w | 1216 |
| δὲ | 4 | w | 1218 |
| τρίτον | 1 | w | 1224 |
| πρώτῳ | 3 | w | 1229 |
| δυσὶ | 1 | w | 1233 |
| δευτέροις | 1 | w | 1242 |
| ἅμα | 2 | w | 1245 |
| καὶ | 27 | w | 1248 |
| τρίτῳ | 1 | w | 1253 |
| ἐκ | 6 | w | 1256 |
| πάντων | 1 | w | 1262 |
| οὖν | 2 | w | 1265 |
| ἐν | 7 | w | 1267 |
| ἰσότητι | 1 | w | 1274 |
| ὅρων | 1 | w | 1278 |
| τριῶν | 2 | w | 1283 |
| προεκτεθέντων | 1 | w | 1296 |
| εἶτ | 2 | w | 1300 |
| ἐν | 8 | w | 1303 |
| μονάσιν | 2 | w | 1310 |
| εἶτ | 3 | w | 1313 |
| ἐν | 9 | w | 1316 |
| δυάσιν | 1 | w | 1322 |
| ἢ | 1 | w | 1323 |
| καὶ | 28 | w | 1326 |
| τριάσι | 2 | w | 1332 |
| καὶ | 29 | w | 1335 |
| ἐφεξῆς | 1 | w | 1341 |
| διὰ | 3 | w | 1345 |
| τῶν | 5 | w | 1348 |
| προειρημένων | 1 | w | 1360 |
| προσταγμάτων | 2 | w | 1372 |
| γενικῶς | 1 | w | 1379 |
| μὲν | 1 | w | 1382 |
| πολλαπλάσιοι | 1 | w | 1394 |
| γενήσονται | 1 | w | 1404 |
| εἰδικῶς | 1 | w | 1412 |
| δὲ | 5 | w | 1414 |
| πολλαπλασίων | 1 | w | 1426 |
| οἱ | 1 | w | 1428 |
| διπλάσιοι | 1 | w | 1437 |
| πρῶτοι | 1 | w | 1444 |
| μὲν | 2 | w | 1447 |
| ἐκ | 7 | w | 1449 |
| μονάδων | 1 | w | 1456 |
| οἱ | 2 | w | 1459 |
| δὲ | 6 | w | 1461 |
| συνεχεῖς | 1 | w | 1469 |
| ἐκ | 8 | w | 1471 |
| δυάδων | 1 | w | 1477 |
| καὶ | 30 | w | 1480 |
| οἱ | 3 | w | 1482 |
| μετ | 1 | w | 1485 |
| αὐτοὺς | 1 | w | 1492 |
| ἐκ | 9 | w | 1494 |
| τριάδων | 1 | w | 1501 |
| καὶ | 31 | w | 1504 |
| ἑξῆς | 4 | w | 1508 |
| ἀκολούθως | 3 | w | 1517 |
| ἐκ | 10 | w | 1520 |
| δὲ | 7 | w | 1522 |
| τῶν | 6 | w | 1525 |
| πλασθέντων | 1 | w | 1535 |
| διπλασίων | 1 | w | 1544 |
| τριπλάσιοι | 1 | w | 1554 |
| πρῶτοι | 2 | w | 1561 |
| πάλιν | 3 | w | 1566 |
| ἐκ | 11 | w | 1568 |
| πρώτων | 1 | w | 1574 |
| καὶ | 32 | w | 1577 |
| συνεχεῖς | 2 | w | 1585 |
| ἐκ | 12 | w | 1587 |
| συνεχῶν | 1 | w | 1594 |
| ἐκ | 13 | w | 1597 |
| δὲ | 8 | w | 1599 |
| τριπλασίων | 1 | w | 1609 |
| τετραπλάσιοι | 1 | w | 1621 |
| ἀποσῴζοντες | 1 | w | 1632 |
| τὴν | 9 | w | 1635 |
| αὐτῶν | 3 | w | 1640 |
| εὐταξίαν | 1 | w | 1648 |
| καὶ | 33 | w | 1652 |
| ἐκ | 14 | w | 1654 |
| τετραπλασίων | 1 | w | 1666 |
| πενταπλάσιοι | 1 | w | 1678 |
| καὶ | 34 | w | 1681 |
| ἀεὶ | 3 | w | 1684 |
| οἱ | 4 | w | 1686 |
| ἑπό- | 1 | w | 1690 |
| μενοι | 1 | w | 1695 |
| λόγοι | 1 | w | 1700 |
| ἐκ | 15 | w | 1702 |
| τῶν | 8 | w | 1705 |
| ἡγουμένων | 1 | w | 1714 |
| εἰ | 2 | w | 1717 |
| δὲ | 9 | w | 1719 |
| πλάσσοντες | 1 | w | 1729 |
| οὐ | 3 | w | 1731 |
| τῇ | 2 | w | 1733 |
| τοιᾷδε | 1 | w | 1739 |
| κατὰ | 5 | w | 1743 |
| φύσιν | 2 | w | 1748 |
| τῶν | 9 | w | 1751 |
| ὅρων | 2 | w | 1755 |
| ἐκθέσει | 1 | w | 1762 |
| χρησαίμεθα | 1 | w | 1772 |
| ἀλλὰ | 1 | w | 1777 |
| ἀναστρέψαιμεν | 1 | w | 1790 |
| τοὺς | 6 | w | 1794 |
| πρώτους | 1 | w | 1801 |
| ἀπὸ | 6 | w | 1804 |
| τῶν | 10 | w | 1807 |
| ἰσοτήτων | 1 | w | 1815 |
| πλασθέντας | 2 | w | 1825 |
| ὅρους | 4 | w | 1830 |
| ὥστε | 1 | w | 1835 |
| τὸν | 3 | w | 1838 |
| τρίτον | 2 | w | 1844 |
| ὅρον | 2 | w | 1848 |
| ἐν | 10 | w | 1850 |
| τῇ | 3 | w | 1852 |
| τοῦ | 2 | w | 1855 |
| πρώτου | 2 | w | 1861 |
| χώρᾳ | 1 | w | 1865 |
| τάξαι | 1 | w | 1870 |
| τὸν | 4 | w | 1873 |
| δὲ | 10 | w | 1875 |
| πρῶτον | 2 | w | 1881 |
| ἐν | 11 | w | 1883 |
| τῇ | 4 | w | 1885 |
| τοῦ | 3 | w | 1888 |
| τρίτου | 1 | w | 1894 |
| τὸν | 5 | w | 1898 |
| δὲ | 11 | w | 1900 |
| μέσον | 1 | w | 1905 |
| ὁμοίως | 1 | w | 1911 |
| μέσον | 2 | w | 1916 |
| τηρήσαιμεν | 1 | w | 1926 |
| ἔπειτα | 1 | w | 1933 |
| διὰ | 4 | w | 1936 |
| τῶν | 11 | w | 1939 |
| αὐτῶν | 4 | w | 1944 |
| προσταγμάτων | 3 | w | 1956 |
| ἑτέρους | 1 | w | 1963 |
| πλάσσοιμεν | 1 | w | 1973 |
| φύσονται | 1 | w | 1982 |
| γενικῶς | 2 | w | 1989 |
| μὲν | 3 | w | 1992 |
| ἐπιμόριοι | 1 | w | 2001 |
| ἀπὸ | 7 | w | 2004 |
| πολλαπλασίων | 2 | w | 2016 |
| εἰδικῶς | 2 | w | 2024 |
| δὲ | 12 | w | 2026 |
| ἡμιόλιοι | 1 | w | 2034 |
| μὲν | 4 | w | 2037 |
| ἀπὸ | 8 | w | 2040 |
| διπλασίων | 2 | w | 2049 |
| εὔτακτοι | 1 | w | 2057 |
| ἀπ | 12 | w | 2059 |
| εὐτάκτων | 1 | w | 2068 |
| ἐπίτριτοι | 1 | w | 2078 |
| δὲ | 13 | w | 2080 |
| ἀπὸ | 9 | w | 2083 |
| τριπλασίων | 2 | w | 2093 |
| ἀποσῴζοντες | 2 | w | 2104 |
| τὴν | 10 | w | 2107 |
| αὐτὴν | 1 | w | 2112 |
| τάξιν | 2 | w | 2117 |
| καὶ | 35 | w | 2121 |
| ὁμοίως | 2 | w | 2127 |
| ἐπιτέταρτοι | 1 | w | 2138 |
| ἀπὸ | 10 | w | 2141 |
| τετραπλασίων | 2 | w | 2153 |
| καὶ | 36 | w | 2156 |
| ἐπίπεμπτοι | 1 | w | 2166 |
| ἀπὸ | 11 | w | 2169 |
| πενταπλασίων | 1 | w | 2181 |
| καὶ | 37 | w | 2184 |
| ἑξῆς | 5 | w | 2188 |
| κατά | 1 | w | 2192 |
| τινα | 1 | w | 2196 |
| συγγένειαν | 1 | w | 2206 |
| φυσικὴν | 1 | w | 2213 |
| συμπαρεκτεινομένων | 1 | w | 2231 |
| τοῖς | 4 | w | 2235 |
| εἴδεσι | 2 | w | 2241 |
| τοῦ | 4 | w | 2244 |
| πολλαπλασίου | 1 | w | 2256 |
| τῶν | 13 | w | 2259 |
| παρωνυμούντων | 1 | w | 2272 |
| καθ | 2 | w | 2275 |
| ἕκαστον | 1 | w | 2283 |
| εἶδος | 1 | w | 2288 |
| ἐπιμορίων | 1 | w | 2297 |
| ἐκ | 17 | w | 2300 |
| δὲ | 14 | w | 2302 |
| αὐτῶν | 5 | w | 2307 |
| τούτων | 3 | w | 2313 |
| πάλιν | 4 | w | 2318 |
| ἀναστραφέντων | 1 | w | 2331 |
| τῶν | 15 | w | 2334 |
| ὅρων | 3 | w | 2338 |
| τοὺς | 7 | w | 2342 |
| ἐπιμερεῖς | 1 | w | 2351 |
| λόγους | 1 | w | 2357 |
| πάντως | 1 | w | 2363 |
| γεννήσομεν | 1 | w | 2373 |
| πρώτους | 2 | w | 2380 |
| πάλιν | 5 | w | 2385 |
| ἐκ | 18 | w | 2387 |
| πρώτων | 2 | w | 2393 |
| καὶ | 38 | w | 2396 |
| δευτέρους | 1 | w | 2405 |
| ἐκ | 19 | w | 2407 |
| δευτέρων | 1 | w | 2415 |
| καὶ | 39 | w | 2418 |
| τρίτους | 1 | w | 2425 |
| ἐκ | 20 | w | 2427 |
| τρίτων | 1 | w | 2433 |
| καὶ | 40 | w | 2436 |
| ἑξῆς | 6 | w | 2440 |
| ἀκολούθως | 4 | w | 2449 |
| καὶ | 41 | w | 2453 |
| τούτων | 4 | w | 2459 |
| διευτακτουμένων | 1 | w | 2474 |
| καταλλήλως | 1 | w | 2484 |
| τῇ | 5 | w | 2486 |
| ἐξ | 1 | w | 2488 |
| ἀρχῆς | 2 | w | 2493 |
| παρωνυμήσει | 1 | w | 2504 |
| ὑποδείγματος | 1 | w | 2517 |
| δὲ | 15 | w | 2519 |
| ἕνεκα | 1 | w | 2524 |
| ἔστωσαν | 1 | w | 2531 |
| μονάδες | 1 | w | 2538 |
| τρεῖς | 4 | w | 2543 |
| κατ | 10 | w | 2546 |
| ἴσον | 4 | w | 2551 |
| λόγον | 3 | w | 2556 |
| προεκκείμεναι | 1 | w | 2569 |
| εἰ | 4 | w | 2572 |
| δὴ | 1 | w | 2574 |
| ποιήσαιμεν | 1 | w | 2584 |
| κατὰ | 6 | w | 2588 |
| τὰ | 10 | w | 2590 |
| εἰρημένα | 1 | w | 2598 |
| προστάγματα | 2 | w | 2609 |
| πρῶτον | 3 | w | 2615 |
| ὅρον | 3 | w | 2619 |
| πρώτῳ | 4 | w | 2624 |
| ἴσον | 5 | w | 2628 |
| ἔσται | 3 | w | 2633 |
| μονάς | 1 | w | 2638 |
| εἰ | 6 | w | 2641 |
| δὲ | 16 | w | 2643 |
| δεύτερον | 2 | w | 2651 |
| πρώτῳ | 5 | w | 2656 |
| καὶ | 42 | w | 2659 |
| δευτέρῳ | 2 | w | 2666 |
| ἔσται | 4 | w | 2671 |
| δυάς | 1 | w | 2675 |
| εἰ | 7 | w | 2678 |
| δὲ | 17 | w | 2680 |
| τρίτον | 3 | w | 2686 |
| πρώτῳ | 6 | w | 2691 |
| δυσὶ | 2 | w | 2695 |
| δευτέροις | 2 | w | 2704 |
| τρίτῳ | 2 | w | 2709 |
| ἔσται | 5 | w | 2714 |
| τετράς | 1 | w | 2720 |
| καὶ | 43 | w | 2724 |
| γενήσονται | 2 | w | 2734 |
| οἱ | 5 | w | 2736 |
| πλασθέντες | 1 | w | 2746 |
| ἐν | 12 | w | 2748 |
| διπλασίῳ | 1 | w | 2756 |
| λόγῳ | 1 | w | 2760 |
| αʹ | 1 | w | 2762 |
| βʹ | 1 | w | 2764 |
| δʹ | 1 | w | 2766 |
| ἐκ | 21 | w | 2769 |
| δὲ | 18 | w | 2771 |
| αὐτῶν | 6 | w | 2776 |
| κατὰ | 7 | w | 2780 |
| τὰ | 12 | w | 2782 |
| αὐτὰ | 1 | w | 2786 |
| προστάγματα | 3 | w | 2797 |
| ἕξομεν | 1 | w | 2803 |
| τοὺς | 8 | w | 2807 |
| ἐν | 13 | w | 2809 |
| τριπλασίῳ | 1 | w | 2818 |
| αʹ | 2 | w | 2820 |
| γʹ | 1 | w | 2822 |
| θʹ | 1 | w | 2824 |
| καὶ | 44 | w | 2828 |
| ἀπὸ | 12 | w | 2831 |
| τούτων | 5 | w | 2837 |
| τοὺς | 9 | w | 2841 |
| ἐπὶ | 1 | w | 2844 |
| τούτοις | 1 | w | 2851 |
| ἐν | 14 | w | 2853 |
| τετραπλασίῳ | 1 | w | 2864 |
| αʹ | 3 | w | 2866 |
| δʹ | 2 | w | 2868 |
| ιϛʹ | 1 | w | 2871 |
| καὶ | 45 | w | 2875 |
| ἐφεξῆς | 2 | w | 2881 |
| ἀκολούθως | 5 | w | 2890 |
| εἰ | 8 | w | 2893 |
| δὲ | 19 | w | 2895 |
| δυάδας | 1 | w | 2901 |
| ἐν | 15 | w | 2903 |
| ἰσότητι | 2 | w | 2910 |
| προεκθοίμεθα | 1 | w | 2922 |
| ἔσονται | 1 | w | 2930 |
| οἱ | 6 | w | 2932 |
| ἑξῆς | 7 | w | 2936 |
| ὅροι | 1 | w | 2940 |
| ἐν | 16 | w | 2942 |
| διπλασίῳ | 2 | w | 2950 |
| ὁμοίως | 3 | w | 2956 |
| ὄντες | 1 | w | 2961 |
| λόγῳ | 2 | w | 2965 |
| οἱ | 7 | w | 2967 |
| βʹ | 2 | w | 2969 |
| δʹ | 3 | w | 2971 |
| ηʹ | 1 | w | 2973 |
| καὶ | 46 | w | 2977 |
| ἀπὸ | 13 | w | 2980 |
| τούτων | 6 | w | 2986 |
| πάλιν | 6 | w | 2991 |
| οἱ | 8 | w | 2993 |
| ἑξῆς | 8 | w | 2997 |
| τριπλάσιοι | 2 | w | 3007 |
| βʹ | 3 | w | 3009 |
| ϛʹ | 2 | w | 3011 |
| ιηʹ | 1 | w | 3014 |
| ἀφ | 2 | w | 3017 |
| ὧν | 1 | w | 3020 |
| οἱ | 9 | w | 3022 |
| ἑξῆς | 9 | w | 3026 |
| τετραπλάσιοι | 2 | w | 3038 |
| βʹ | 4 | w | 3040 |
| ηʹ | 3 | w | 3042 |
| λβʹ | 1 | w | 3045 |
| καὶ | 47 | w | 3049 |
| ἀθρόοι | 1 | w | 3055 |
| ἀκόλουθοι | 1 | w | 3064 |
| εἰ | 9 | w | 3067 |
| δὲ | 20 | w | 3069 |
| ἀναστρέψαιμεν | 2 | w | 3082 |
| τοὺς | 10 | w | 3086 |
| πρώτους | 3 | w | 3093 |
| ἐν | 17 | w | 3095 |
| διπλασίῳ | 3 | w | 3103 |
| λόγῳ | 3 | w | 3107 |
| τοὺς | 11 | w | 3111 |
| αʹ | 4 | w | 3113 |
| βʹ | 6 | w | 3115 |
| δʹ | 4 | w | 3117 |
| διὰ | 5 | w | 3120 |
| τῶν | 17 | w | 3123 |
| αὐτῶν | 7 | w | 3128 |
| προσταγμάτων | 4 | w | 3140 |
| ποιήσομεν | 1 | w | 3149 |
| τοὺς | 12 | w | 3153 |
| πρώτους | 4 | w | 3160 |
| ἐν | 18 | w | 3162 |
| ἡμιολίῳ | 1 | w | 3169 |
| ἀναλογίᾳ | 1 | w | 3177 |
| ὄντας | 1 | w | 3182 |
| τοὺς | 13 | w | 3186 |
| δʹ | 5 | w | 3188 |
| ϛʹ | 3 | w | 3190 |
| θʹ | 2 | w | 3192 |
| ἀπὸ | 14 | w | 3196 |
| δὲ | 21 | w | 3198 |
| τούτων | 7 | w | 3204 |
| πάλιν | 7 | w | 3209 |
| ἀναστραφέντων | 2 | w | 3222 |
| τοὺς | 14 | w | 3226 |
| ἐν | 19 | w | 3228 |
| ἐπιδιμερεῖ | 1 | w | 3238 |
| ὁμοίως | 4 | w | 3244 |
| ἀναλογίᾳ | 2 | w | 3252 |
| ὄντας | 2 | w | 3257 |
| τοὺς | 15 | w | 3261 |
| θʹ | 3 | w | 3263 |
| ιεʹ | 1 | w | 3266 |
| κεʹ | 1 | w | 3269 |
| ἐκ | 22 | w | 3272 |
| τούτου | 2 | w | 3278 |
| συμφανῆ | 1 | w | 3285 |
| γίνεσθαι | 2 | w | 3293 |
| τὴν | 12 | w | 3296 |
| συγγένειαν | 2 | w | 3306 |
| τῶν | 19 | w | 3309 |
| σχέσεων | 1 | w | 3316 |
| εἰ | 10 | w | 3319 |
| γὰρ | 2 | w | 3322 |
| ὁ | 5 | w | 3323 |
| διπλάσιος | 1 | w | 3332 |
| λόγος | 1 | w | 3337 |
| ἀπὸ | 15 | w | 3340 |
| ἰσότητος | 3 | w | 3348 |
| ἐγεννήθη | 1 | w | 3356 |
| ἐμάθομεν | 1 | w | 3365 |
| δὲ | 22 | w | 3367 |
| παρωνομασμένον | 1 | w | 3381 |
| τὸ | 10 | w | 3383 |
| ἥμισυ | 1 | w | 3388 |
| τῷ | 1 | w | 3390 |
| δύο | 1 | w | 3393 |
| εἰκότως | 1 | w | 3401 |
| ἑξῆς | 10 | w | 3405 |
| ὡς | 1 | w | 3407 |
| οἰκεῖος | 1 | w | 3414 |
| ὁ | 6 | w | 3415 |
| ἡμιόλιος | 1 | w | 3423 |
| λόγος | 2 | w | 3428 |
| ἐπλάσθη | 1 | w | 3435 |
| ἐν | 20 | w | 3437 |
| ἐπιμορίοις | 1 | w | 3447 |
| ἀπὸ | 16 | w | 3451 |
| δὲ | 23 | w | 3453 |
| τούτου | 3 | w | 3459 |
| πάλιν | 8 | w | 3464 |
| ὡς | 2 | w | 3466 |
| ἐν | 21 | w | 3468 |
| ἐπιμερέσι | 1 | w | 3477 |
| κατὰ | 8 | w | 3481 |
| τὴν | 13 | w | 3484 |
| οἰκειότητα | 1 | w | 3494 |
| τῆς | 6 | w | 3497 |
| δυάδος | 1 | w | 3503 |
| ὁ | 7 | w | 3504 |
| ἐπιδιμερής | 1 | w | 3514 |
| εἰ | 12 | w | 3517 |
| δὲ | 24 | w | 3519 |
| οἱ | 10 | w | 3521 |
| πρῶτοι | 3 | w | 3527 |
| ἐν | 22 | w | 3529 |
| τριπλασίῳ | 2 | w | 3538 |
| λόγῳ | 4 | w | 3542 |
| ἐκφύσονται | 1 | w | 3553 |
| ἀπ | 22 | w | 3555 |
| αὐτῶν | 8 | w | 3561 |
| ἐπίτριτοι | 2 | w | 3570 |
| καὶ | 48 | w | 3573 |
| ἀπὸ | 17 | w | 3576 |
| τούτων | 8 | w | 3582 |
| ἐπιτριμερεῖς | 1 | w | 3594 |
| εἰ | 13 | w | 3597 |
| δὲ | 25 | w | 3599 |
| τετραπλάσιοι | 3 | w | 3611 |
| ἐπιτέταρτοί | 1 | w | 3622 |
| τε | 21 | w | 3624 |
| καὶ | 49 | w | 3627 |
| ἐπιτετραμερεῖς | 1 | w | 3641 |
| καὶ | 50 | w | 3644 |
| ἀεὶ | 4 | w | 3647 |
| οἱ | 11 | w | 3649 |
| ἑξῆς | 11 | w | 3653 |
| ἀποσῴζοντες | 3 | w | 3665 |
| τὴν | 14 | w | 3668 |
| οἰκειότητα | 2 | w | 3678 |
| τῆς | 7 | w | 3681 |
| παρωνυμήσεως | 1 | w | 3693 |
| καὶ | 51 | w | 3696 |
| πυθμένες | 1 | w | 3704 |
| μὲν | 5 | w | 3707 |
| ἀπὸ | 18 | w | 3710 |
| πυθμένων | 1 | w | 3718 |
| δεύτεροι | 1 | w | 3726 |
| δὲ | 26 | w | 3728 |
| ἀπὸ | 19 | w | 3731 |
| δευτέρων | 2 | w | 3739 |
| καὶ | 52 | w | 3742 |
| τρίτοι | 1 | w | 3748 |
| ἀπὸ | 20 | w | 3751 |
| τρίτων | 2 | w | 3757 |
| καὶ | 53 | w | 3760 |
| ἀεὶ | 5 | w | 3763 |
| ὁμοίως | 5 | w | 3769 |
| πυθμένας | 1 | w | 3778 |
| δὲ | 27 | w | 3780 |
| ἐπιμορίων | 2 | w | 3789 |
| ἐν | 23 | w | 3791 |
| τρισὶν | 1 | w | 3797 |
| ὅροις | 1 | w | 3802 |
| μὴ | 2 | w | 3804 |
| τοὺς | 16 | w | 3808 |
| αὐτοὺς | 2 | w | 3814 |
| οἰώμεθα | 1 | w | 3821 |
| γενήσεσθαι | 1 | w | 3831 |
| ὅπερ | 1 | w | 3836 |
| ἐν | 24 | w | 3838 |
| δυσὶ | 3 | w | 3842 |
| φαίνονται | 1 | w | 3851 |
| οὐ | 4 | w | 3854 |
| γὰρ | 3 | w | 3857 |
| δυνατὸν | 1 | w | 3864 |
| ἐν | 25 | w | 3866 |
| δυσὶν | 1 | w | 3871 |
| ὄντος | 1 | w | 3876 |
| λόγου | 2 | w | 3881 |
| τινὸς | 1 | w | 3886 |
| καὶ | 54 | w | 3889 |
| τρίτον | 4 | w | 3895 |
| ὅρον | 4 | w | 3899 |
| προσπορισθῆναι | 1 | w | 3913 |
| τὸν | 7 | w | 3916 |
| αὐτὸν | 1 | w | 3921 |
| λόγον | 4 | w | 3926 |
| πρὸς | 5 | w | 3930 |
| τὸν | 9 | w | 3933 |
| μέσον | 3 | w | 3938 |
| ἀποσῴζοντα | 1 | w | 3948 |
| διότι | 1 | w | 3954 |
| μὴ | 3 | w | 3956 |
| τοῦ | 5 | w | 3959 |
| αὐτοῦ | 1 | w | 3964 |
| μορίου | 1 | w | 3970 |
| παρεκτικός | 1 | w | 3980 |
| ἐστιν | 2 | w | 3985 |
| ὁ | 9 | w | 3986 |
| μείζων | 1 | w | 3992 |
| καθ | 3 | w | 3996 |
| ὃ | 1 | w | 3998 |
| ἐπιμόριός | 1 | w | 4007 |
| ἐστι | 3 | w | 4011 |
| τοῦ | 7 | w | 4014 |
| πρώτου | 6 | w | 4020 |
| ἵνα | 1 | w | 4024 |
| καὶ | 55 | w | 4027 |
| ὁ | 10 | w | 4028 |
| τρίτος | 1 | w | 4034 |
| κατ | 14 | w | 4037 |
| αὐτὸν | 2 | w | 4043 |
| ἐκείνῳ | 1 | w | 4049 |