| Refs | {'start': {'reference': '19', 'human_reference': 'Paragraph 19'}, 'end': {'reference': '20', 'human_reference': 'Paragraph 20'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| Οὐ | 1 | w | 2 |
| δεῖ | 1 | w | 5 |
| οὖν | 1 | w | 8 |
| ἀπατᾶσθαι | 1 | w | 17 |
| εἴ | 1 | w | 20 |
| που | 1 | w | 23 |
| καθʼ | 1 | w | 27 |
| ὑπόθεσιν | 1 | w | 35 |
| τρίτα | 1 | w | 40 |
| ἑξηκοστὰ | 1 | w | 48 |
| ξ | 2 | w | 49 |
| μεριζόμενα | 1 | w | 59 |
| παρʼ | 1 | w | 63 |
| ἑαυτά | 1 | w | 68 |
| εἰ | 1 | w | 71 |
| τύχοι | 1 | w | 76 |
| παρὰ | 1 | w | 81 |
| β | 1 | w | 82 |
| λεπτὰ | 1 | w | 87 |
| τρίτα | 2 | w | 92 |
| ποιήσει | 1 | w | 100 |
| μοίρας | 1 | w | 106 |
| λ | 2 | w | 107 |
| ἐνθυμούμενος | 1 | w | 120 |
| ὅτι | 1 | w | 123 |
| τὰ | 3 | w | 125 |
| ξ | 3 | w | 126 |
| τρίτα | 3 | w | 131 |
| μεριζόμενα | 2 | w | 141 |
| ὀφείλει | 1 | w | 148 |
| ποιεῖν | 1 | w | 154 |
| ἐλάσσονα | 1 | w | 162 |
| ἑαυτῶν | 1 | w | 168 |
| ἀριθμὸν | 1 | w | 175 |
| καὶ | 1 | w | 178 |
| οὐχὶ | 1 | w | 182 |
| μοίρας | 2 | w | 188 |
| λ | 5 | w | 189 |
| αἵτινες | 1 | w | 197 |
| πολλαπλάσιαι | 1 | w | 209 |
| τυγχάνουσι | 1 | w | 219 |
| τῶν | 2 | w | 222 |
| ξ | 4 | w | 223 |
| λεπτῶν | 1 | w | 229 |
| οὐδὲν | 1 | w | 235 |
| γὰρ | 1 | w | 238 |
| ἄτοπον | 1 | w | 244 |
| ἀπαντᾶ | 1 | w | 250 |
| κἂν | 1 | w | 254 |
| γεγόνασιν | 1 | w | 263 |
| αἱ | 1 | w | 265 |
| λ | 10 | w | 266 |
| μοῖραι | 1 | w | 272 |
| ἐκ | 1 | w | 274 |
| τοῦ | 1 | w | 277 |
| μερισμοῦ | 1 | w | 285 |
| τῶν | 4 | w | 288 |
| τρίτων | 1 | w | 294 |
| λεπτῶν | 2 | w | 300 |
| παρʼ | 2 | w | 304 |
| ἑαυτά | 2 | w | 309 |
| παραβολῆς | 1 | w | 319 |
| γινομένης | 1 | w | 328 |
| τῶν | 6 | w | 331 |
| ξ | 5 | w | 332 |
| τρίτῶν | 1 | w | 338 |
| λεπτῶν | 3 | w | 344 |
| παρὰ | 2 | w | 348 |
| μικρότερόν | 1 | w | 358 |
| τινα | 1 | w | 362 |
| οἷον | 1 | w | 367 |
| τὰ | 4 | w | 369 |
| β | 3 | w | 370 |
| τρίτα | 4 | w | 375 |
| λεπτά | 1 | w | 380 |
| διότι | 1 | w | 386 |
| ἐξ | 1 | w | 388 |
| ἀνάγκης | 1 | w | 395 |
| μακροτέραν | 1 | w | 405 |
| πλευρὰν | 1 | w | 412 |
| ἐκ | 2 | w | 414 |
| τοῦ | 2 | w | 417 |
| μερισμοῦ | 2 | w | 425 |
| τῶν | 9 | w | 428 |
| λεπτῶν | 4 | w | 434 |
| ἔδει | 1 | w | 438 |
| γενέσθαι | 1 | w | 446 |
| ἐναντίως | 1 | w | 454 |
| ταῖς | 1 | w | 458 |
| μονάσι | 1 | w | 464 |
| μόρια | 1 | w | 470 |
| γάρ | 1 | w | 473 |
| εἰσι | 1 | w | 477 |
| τὰ | 5 | w | 479 |
| λεπτά | 2 | w | 484 |
| ἐπὶ | 1 | w | 488 |
| δὲ | 2 | w | 490 |
| τῶν | 11 | w | 493 |
| μορίων | 1 | w | 499 |
| ἀεὶ | 1 | w | 502 |
| τοῦτο | 1 | w | 507 |
| οὕτως | 1 | w | 512 |
| εὑρίσκεται | 1 | w | 522 |
| μεριζομένων | 1 | w | 533 |
| παρὰ | 3 | w | 537 |
| μόρια | 2 | w | 542 |
| ὥσπερ | 1 | w | 548 |
| τὸ | 1 | w | 550 |
| ιβʹ | 1 | w | 553 |
| καθʼ | 2 | w | 557 |
| ὑπόθεσιν | 2 | w | 565 |
| παρὰ | 4 | w | 569 |
| τὸ | 2 | w | 571 |
| δʹ | 1 | w | 573 |
| μεριζόμενον | 1 | w | 584 |
| ἐξ | 2 | w | 586 |
| ἀνάγκης | 2 | w | 593 |
| ποιεῖ | 2 | w | 598 |
| τὸ | 3 | w | 600 |
| γʹ | 1 | w | 602 |
| φανερὸν | 1 | w | 610 |
| δὲ | 3 | w | 612 |
| ἔσται | 1 | w | 617 |
| πάλιν | 1 | w | 622 |
| τὸ | 4 | w | 624 |
| λεγόμενον | 1 | w | 633 |
| διʼ | 1 | w | 636 |
| ἀναγραφῆς | 1 | w | 645 |
| χωρίου | 1 | w | 651 |
| τῷ | 1 | w | 653 |
| βουλομένῳ | 1 | w | 662 |
| σεσημειώσθω | 1 | w | 674 |
| δὲ | 4 | w | 676 |
| τὸ | 5 | w | 678 |
| εἰρημένον | 1 | w | 687 |
| ὡς | 1 | w | 689 |
| ἀναγκαῖον | 1 | w | 698 |
| καὶ | 2 | w | 701 |
| τοῖς | 1 | w | 705 |
| πολλοῖς | 1 | w | 712 |
| οὐκ | 1 | w | 715 |
| εὔδηλον | 1 | w | 722 |
| Δεύτερα | 1 | w | 730 |
| μέντοι | 1 | w | 736 |
| λεπτὰ | 2 | w | 741 |
| παρὰ | 5 | w | 745 |
| πρῶτα | 1 | w | 750 |
| ποιεῖ | 3 | w | 755 |
| πρῶτα | 2 | w | 760 |
| ἐπειδὴ | 1 | w | 767 |
| καὶ | 3 | w | 770 |
| πρῶτα | 3 | w | 775 |
| ἐπὶ | 2 | w | 778 |
| πρῶτα | 4 | w | 783 |
| πολλαπλασιαζόμενα | 1 | w | 800 |
| ἐποίει | 1 | w | 806 |
| δεύτερα | 1 | w | 813 |
| καὶ | 4 | w | 817 |
| εἴρηται | 1 | w | 824 |
| ὅτι | 2 | w | 827 |
| ὁ | 1 | w | 828 |
| μερισμὸς | 1 | w | 836 |
| οὐδέν | 1 | w | 841 |
| ἐστιν | 1 | w | 846 |
| ἕτερον | 1 | w | 852 |
| ἢ | 1 | w | 853 |
| κατὰ | 1 | w | 857 |
| βάθος | 1 | w | 862 |
| πολλαπλασιασμοῦ | 1 | w | 877 |
| τινος | 1 | w | 882 |
| θεωρία | 1 | w | 888 |
| τοῦ | 4 | w | 891 |
| γεννήσαντος | 1 | w | 902 |
| τὸν | 1 | w | 905 |
| μεριζόμενον | 2 | w | 916 |
| καὶ | 5 | w | 920 |
| ὅτι | 3 | w | 923 |
| μερίζειν | 1 | w | 931 |
| ἐστὶ | 1 | w | 935 |
| τὸ | 7 | w | 937 |
| εὑρίσκειν | 1 | w | 946 |
| ἀριθμόν | 1 | w | 953 |
| τινα | 2 | w | 957 |
| ὃς | 1 | w | 959 |
| πολλαπλασιαζόμενος | 1 | w | 977 |
| ἐπὶ | 3 | w | 980 |
| τὸν | 2 | w | 983 |
| παρʼ | 3 | w | 987 |
| ὃν | 1 | w | 989 |
| γίνεται | 1 | w | 996 |
| ὁ | 2 | w | 997 |
| μερισμός | 1 | w | 1005 |
| ποιήσει | 2 | w | 1013 |
| τὸ | 9 | w | 1015 |
| τῶν | 12 | w | 1018 |
| μεριζομένων | 2 | w | 1029 |
| εἶδός | 1 | w | 1034 |
| τε | 5 | w | 1036 |
| καὶ | 6 | w | 1039 |
| πλῆθος | 1 | w | 1045 |
| τῶν | 13 | w | 1048 |
| μορίων | 2 | w | 1054 |
| διὰ | 1 | w | 1058 |
| δὴ | 2 | w | 1060 |
| τὰ | 8 | w | 1062 |
| αὐτὰ | 1 | w | 1066 |
| καὶ | 7 | w | 1069 |
| τρίτα | 5 | w | 1074 |
| παρὰ | 6 | w | 1078 |
| δεύτερα | 2 | w | 1085 |
| μεριζόμενα | 3 | w | 1095 |
| πρῶτα | 5 | w | 1100 |
| ποιεῖ | 4 | w | 1105 |
| ἐπεὶ | 1 | w | 1110 |
| καὶ | 8 | w | 1113 |
| δεύτερα | 3 | w | 1120 |
| ἐπὶ | 4 | w | 1123 |
| πρῶτα | 6 | w | 1128 |
| πολλαπλασιαζόμενα | 2 | w | 1145 |
| τρίτα | 6 | w | 1150 |
| 1 | 1 | w | 1151 |
| ποιοῦσι | 1 | w | 1158 |
| A | 1 | w | 1159 |
| 25 | 1 | w | 1162 |
| τὸν | 3 | w | 1165 |
| A | 2 | w | 1166 |
| τὸ | 11 | w | 1169 |
| B | 1 | w | 1170 |
| 27 | 1 | w | 1173 |
| μορίων | 3 | w | 1179 |
| μ | 49 | w | 1181 |
| AB | 1 | w | 1184 |
| ποιεῖ | 5 | w | 1190 |
| καὶ | 9 | w | 1194 |
| τρίτα | 7 | w | 1199 |
| παρὰ | 7 | w | 1203 |
| πρῶτα | 7 | w | 1208 |
| μεριζόμενα | 4 | w | 1218 |
| ποιεῖ | 6 | w | 1223 |
| δεύτερα | 4 | w | 1230 |
| καὶ | 10 | w | 1234 |
| πέμπτα | 1 | w | 1240 |
| παρὰ | 8 | w | 1244 |
| δεύτερα | 5 | w | 1251 |
| τρίτα | 8 | w | 1257 |
| καὶ | 11 | w | 1260 |
| ἑξῆς | 1 | w | 1264 |
| κοινωνία | 1 | w | 1273 |
| οὖν | 2 | w | 1276 |
| τις | 1 | w | 1279 |
| καὶ | 12 | w | 1282 |
| ἐναντιότης | 1 | w | 1292 |
| ὡς | 2 | w | 1295 |
| εἴρηται | 2 | w | 1302 |
| θεωρεῖται | 1 | w | 1312 |
| ἐν | 4 | w | 1314 |
| τοῖς | 2 | w | 1318 |
| πολλαπλασιασμοῖς | 1 | w | 1334 |
| καὶ | 13 | w | 1337 |
| μερισμοῖς | 1 | w | 1346 |
| πρῶτα | 8 | w | 1352 |
| γὰρ | 2 | w | 1355 |
| ἐπὶ | 5 | w | 1358 |
| πρῶτα | 9 | w | 1363 |
| πολλαπλασιαζόμενα | 3 | w | 1380 |
| δεύτερα | 6 | w | 1387 |
| ποιεῖ | 7 | w | 1392 |
| δεύτερα | 7 | w | 1400 |
| δὲ | 5 | w | 1402 |
| παρὰ | 9 | w | 1406 |
| πρῶτα | 10 | w | 1411 |
| μεριζόμενα | 5 | w | 1421 |
| πρῶτα | 11 | w | 1426 |
| ποιεῖ | 8 | w | 1431 |
| καὶ | 14 | w | 1435 |
| πάλιν | 2 | w | 1440 |
| πρῶτα | 12 | w | 1445 |
| ἐπὶ | 6 | w | 1448 |
| δεύτερα | 8 | w | 1455 |
| τρίτα | 9 | w | 1461 |
| ποιεῖ | 9 | w | 1466 |
| καὶ | 15 | w | 1470 |
| μεριζόμενα | 6 | w | 1480 |
| ταῦτα | 1 | w | 1485 |
| παρὰ | 10 | w | 1489 |
| πρῶτα | 13 | w | 1494 |
| ποιεῖ | 10 | w | 1499 |
| δεύτερα | 9 | w | 1506 |
| πάλιν | 3 | w | 1512 |
| πρῶτα | 14 | w | 1517 |
| ἐπὶ | 7 | w | 1520 |
| τρίτα | 10 | w | 1525 |
| τέταρτα | 1 | w | 1533 |
| ποιεῖ | 11 | w | 1538 |
| καὶ | 16 | w | 1542 |
| μεριζόμενα | 7 | w | 1552 |
| ταῦτα | 2 | w | 1557 |
| παρὰ | 11 | w | 1561 |
| τρίτα | 11 | w | 1566 |
| ποιεῖ | 12 | w | 1571 |
| πρῶτα | 15 | w | 1576 |
| καὶ | 17 | w | 1580 |
| ἑξῆς | 2 | w | 1584 |
| ὁμοίως | 1 | w | 1590 |
| καὶ | 18 | w | 1594 |
| δεύτερα | 10 | w | 1601 |
| ἐπὶ | 8 | w | 1604 |
| δεύτερα | 11 | w | 1611 |
| ποιεῖ | 13 | w | 1616 |
| τέταρτα | 2 | w | 1623 |
| καὶ | 19 | w | 1626 |
| μεριζόμενα | 8 | w | 1636 |
| παρὰ | 12 | w | 1640 |
| τὰ | 10 | w | 1642 |
| δεύτερα | 12 | w | 1649 |
| τὰ | 11 | w | 1651 |
| εἰρημένα | 1 | w | 1659 |
| τέταρτα | 3 | w | 1666 |
| ποιεῖ | 14 | w | 1671 |
| δεύτερα | 13 | w | 1678 |
| δῆλον | 1 | w | 1684 |
| οὖν | 3 | w | 1687 |
| ὅτι | 4 | w | 1690 |
| ὁ | 4 | w | 1691 |
| μὲν | 1 | w | 1694 |
| πολλαπλασιασμὸς | 1 | w | 1709 |
| παρωνύμως | 1 | w | 1718 |
| γίνεται | 2 | w | 1725 |
| ἐκ | 3 | w | 1727 |
| τοῦ | 5 | w | 1730 |
| κατὰ | 2 | w | 1734 |
| σύνθεσιν | 1 | w | 1742 |
| ὡς | 3 | w | 1745 |
| εἴρηται | 3 | w | 1752 |
| δεύτερα | 14 | w | 1760 |
| γάρ | 2 | w | 1763 |
| εἰ | 5 | w | 1766 |
| τύχοι | 2 | w | 1771 |
| ἐπὶ | 9 | w | 1775 |
| τρίτα | 12 | w | 1780 |
| πέμπτα | 2 | w | 1787 |
| ποιεῖ | 15 | w | 1792 |
| ἐπεὶ | 2 | w | 1797 |
| καὶ | 20 | w | 1800 |
| β | 7 | w | 1801 |
| καὶ | 21 | w | 1804 |
| γ | 19 | w | 1805 |
| συντιθέμενα | 1 | w | 1816 |
| γίνεται | 3 | w | 1823 |
| ε | 138 | w | 1824 |
| ὁ | 5 | w | 1826 |
| δὲ | 6 | w | 1828 |
| μερισμὸς | 2 | w | 1836 |
| κατὰ | 3 | w | 1840 |
| τὸ | 12 | w | 1842 |
| ἐναντίον | 1 | w | 1850 |
| τούτῳ | 1 | w | 1855 |
| ἐκ | 4 | w | 1858 |
| τοῦ | 6 | w | 1861 |
| κατὰ | 4 | w | 1865 |
| διαίρεσιν | 1 | w | 1874 |
| γάρ | 3 | w | 1877 |
| πέμπτα | 3 | w | 1884 |
| γὰρ | 3 | w | 1887 |
| παρὰ | 13 | w | 1891 |
| τρίτα | 13 | w | 1896 |
| μεριζόμενα | 9 | w | 1906 |
| γίνεται | 4 | w | 1913 |
| δεύτερα | 15 | w | 1920 |
| καὶ | 22 | w | 1924 |
| ἀπὸ | 1 | w | 1927 |
| τῶν | 14 | w | 1930 |
| ε | 146 | w | 1931 |
| ἀφαιρουμένων | 1 | w | 1943 |
| γ | 24 | w | 1944 |
| καταλείπονται | 1 | w | 1957 |
| β | 8 | w | 1958 |
| κα | 31 | w | 1961 |
| φανερὸν | 2 | w | 1968 |
| ὅτι | 5 | w | 1971 |
| ἐκ | 5 | w | 1973 |
| τοῦ | 7 | w | 1976 |
| κατὰ | 5 | w | 1980 |
| διαίρεσιν | 2 | w | 1989 |
| παρωνύμου | 1 | w | 1998 |
| γίνεται | 5 | w | 2005 |
| ὁ | 6 | w | 2006 |
| μερισμός | 2 | w | 2014 |