Refs | {'start': {'reference': '1', 'human_reference': 'Paragraph 1'}, 'end': {'reference': '5', 'human_reference': 'Paragraph 5'}} |
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Ancestors | [] |
Children | [] |
Μέθοδοι | 1 | w | 7 |
εὔχρηστοι | 1 | w | 16 |
πρὸς | 1 | w | 20 |
τοὺς | 1 | w | 24 |
ἀπὸ | 1 | w | 27 |
μορίων | 1 | w | 33 |
πολλαπλασιοσμοὺς | 1 | w | 49 |
κατὰ | 1 | w | 53 |
τὸν | 1 | w | 56 |
τῆς | 1 | w | 59 |
ἀστρονομίας | 1 | w | 70 |
κανόνα | 1 | w | 76 |
πλέον | 1 | w | 81 |
τῶν | 1 | w | 84 |
ἄλλων | 1 | w | 89 |
μεθόδων | 1 | w | 96 |
σώζουσαι | 1 | w | 104 |
τὴν | 1 | w | 107 |
ἀκριβείαν | 1 | w | 116 |
πᾶσαν | 1 | w | 122 |
3 | 1 | w | 124 |
Διοφάντους | 1 | w | 134 |
codex | 1 | w | 139 |
18 | 1 | w | 142 |
Μέθοδος | 1 | w | 149 |
εὔχρηστος | 1 | w | 158 |
B | 1 | w | 159 |
Ἐπειδὴ | 1 | w | 166 |
τὰς | 1 | w | 169 |
ἐφόδους | 1 | w | 176 |
ὡς | 1 | w | 178 |
ἔνι | 1 | w | 181 |
μάλιστα | 1 | w | 188 |
τοῦ | 1 | w | 191 |
ἀκριβοῦς | 1 | w | 199 |
ἕνεκεν | 1 | w | 205 |
δεῖ | 1 | w | 208 |
εἶναι | 1 | w | 213 |
εὑρίσκομεν | 1 | w | 224 |
δὲ | 1 | w | 226 |
πλέον | 2 | w | 231 |
τῶν | 2 | w | 234 |
ἄλλων | 2 | w | 239 |
τούς | 1 | w | 243 |
ἀστρονόμους | 1 | w | 254 |
περιεργότερον | 1 | w | 267 |
καταγινομένους | 1 | w | 281 |
πρὸς | 2 | w | 285 |
τοῦτο | 1 | w | 290 |
ἀγαπητὸν | 1 | w | 299 |
ἡγούμενοι | 1 | w | 308 |
καὶ | 1 | w | 311 |
πρὸς | 3 | w | 315 |
τὰ | 3 | w | 317 |
χωρὶς | 1 | w | 322 |
ἀστρονομίας | 2 | w | 333 |
πάντα | 1 | w | 338 |
ὅσα | 1 | w | 342 |
τε | 2 | w | 344 |
πολλαπλασιασμοῖς | 1 | w | 360 |
καὶ | 2 | w | 363 |
μερισμοῖς | 1 | w | 372 |
ἕπεται | 1 | w | 378 |
εὐθετοῦν | 1 | w | 387 |
ἀπεγραψάμεθα | 1 | w | 400 |
τοῦτο | 2 | w | 405 |
τὸ | 3 | w | 407 |
μεθόδιον | 1 | w | 415 |
Τοῦ | 1 | w | 419 |
ζωδιακοῦ | 1 | w | 427 |
γὰρ | 1 | w | 430 |
κύκλου | 1 | w | 436 |
εἰς | 1 | w | 439 |
τξ | 1 | w | 441 |
διαιρουμένου | 1 | w | 453 |
ἕκαστον | 1 | w | 461 |
τῶν | 3 | w | 464 |
τμημάτων | 1 | w | 472 |
μοῖραν | 1 | w | 478 |
ὠνόμασαν | 1 | w | 486 |
οἱ | 1 | w | 488 |
παλαιοί | 1 | w | 495 |
ἐξῆν | 1 | w | 500 |
δὲ | 2 | w | 502 |
τὴν | 2 | w | 505 |
μοῖραν | 2 | w | 511 |
ἡμᾶς | 1 | w | 515 |
παραδέχεσθαι | 1 | w | 527 |
ἢ | 1 | w | 528 |
ὡς | 2 | w | 530 |
μοναδικὸν | 1 | w | 539 |
χωρίον | 1 | w | 545 |
ἢ | 2 | w | 546 |
ποδιαῖον | 1 | w | 554 |
πρὸς | 4 | w | 558 |
τὰς | 2 | w | 561 |
ἀπαντώσας | 1 | w | 570 |
χρείας | 1 | w | 576 |
διὰ | 1 | w | 580 |
οὖν | 1 | w | 583 |
τὰ | 5 | w | 585 |
ποστημόρια | 1 | w | 595 |
ταύτῃ | 1 | w | 601 |
τουτέστι | 1 | w | 610 |
τῷ | 1 | w | 612 |
τξ | 2 | w | 614 |
μέρει | 1 | w | 619 |
τοῦ | 5 | w | 622 |
κύκλου | 2 | w | 628 |
ποτὲ | 1 | w | 633 |
μὲν | 1 | w | 636 |
ὡς | 3 | w | 638 |
ποδί | 1 | w | 642 |
ποτὲ | 2 | w | 647 |
δὲ | 3 | w | 649 |
ὡς | 4 | w | 651 |
μονάδι | 1 | w | 657 |
δυναμένῃ | 1 | w | 665 |
παραλαμβάνεσθαι | 1 | w | 680 |
πρώτην | 1 | w | 687 |
διαίρεσιν | 1 | w | 696 |
ἐπινοήσαντες | 1 | w | 708 |
τὴν | 3 | w | 712 |
εἰς | 2 | w | 715 |
τὰ | 6 | w | 717 |
ἔξ | 1 | w | 719 |
διὰ | 2 | w | 723 |
τὸ | 4 | w | 725 |
πλειόνων | 1 | w | 733 |
μερῶν | 1 | w | 738 |
γίνεσθαι | 1 | w | 747 |
ἀπαρτιζόντων | 1 | w | 759 |
τὸν | 3 | w | 762 |
ξ | 5 | w | 763 |
ταύτην | 1 | w | 769 |
ἐκάλεσαν | 1 | w | 778 |
ἕκαστον | 2 | w | 785 |
τῶν | 4 | w | 788 |
τμημάτων | 2 | w | 796 |
οἱ | 2 | w | 798 |
μὲν | 2 | w | 801 |
πρῶτον | 1 | w | 807 |
λεπτόν | 1 | w | 813 |
οἱ | 3 | w | 816 |
δὲ | 4 | w | 818 |
ἑξηκοστὸν | 1 | w | 827 |
πρῶτον | 2 | w | 833 |
εἶτα | 1 | w | 838 |
διὰ | 3 | w | 841 |
τὸ | 7 | w | 843 |
χρῄζειν | 1 | w | 850 |
λεπτομερεστέρας | 1 | w | 865 |
ἀκριβείας | 1 | w | 874 |
πρὸς | 5 | w | 878 |
τὸ | 8 | w | 880 |
εὑρίσκειν | 1 | w | 889 |
ἐφʼ | 1 | w | 893 |
ὅσον | 1 | w | 897 |
ἦν | 1 | w | 899 |
δυνατὸν | 1 | w | 906 |
μετʼ | 1 | w | 910 |
ἀκριβείας | 2 | w | 919 |
τὰ | 7 | w | 922 |
κέντρα | 1 | w | 928 |
τῶν | 5 | w | 931 |
ἀστέρων | 1 | w | 938 |
ποίας | 1 | w | 943 |
ἐποχὰς | 1 | w | 949 |
ἐπἐχουσιν | 1 | w | 958 |
ἐν | 1 | w | 960 |
τοῖς | 1 | w | 964 |
κατʼ | 1 | w | 968 |
οὐρανὸν | 1 | w | 975 |
διαστήμασι | 1 | w | 985 |
διεῖλον | 1 | w | 993 |
καθʼ | 1 | w | 997 |
ἑαυτοὺς | 1 | w | 1004 |
ἕκαστον | 3 | w | 1011 |
τῶν | 6 | w | 1014 |
πρώτων | 1 | w | 1020 |
λεπτῶν | 1 | w | 1026 |
εἰς | 3 | w | 1029 |
ἕτερα | 1 | w | 1034 |
ξξά | 1 | w | 1037 |
τινα | 1 | w | 1041 |
καὶ | 3 | w | 1044 |
ἐκάλεσαν | 2 | w | 1052 |
ταῦτα | 1 | w | 1057 |
δεύτερα | 1 | w | 1064 |
ἑξηκοστὰ | 1 | w | 1072 |
ἤτοι | 1 | w | 1076 |
λεπτὰ | 1 | w | 1081 |
ἦν | 2 | w | 1084 |
οὖν | 2 | w | 1087 |
αὐτοῖς | 1 | w | 1093 |
οὕτως | 1 | w | 1098 |
ἡ | 3 | w | 1099 |
μοῖρα | 3 | w | 1104 |
διὰ | 4 | w | 1107 |
μὲν | 3 | w | 1110 |
τῶν | 8 | w | 1113 |
πρώτων | 2 | w | 1119 |
ξξων | 1 | w | 1123 |
διαιρουμένη | 1 | w | 1134 |
εἰς | 4 | w | 1137 |
λεπτὰ | 2 | w | 1142 |
μὲν | 4 | w | 1145 |
πρῶτα | 1 | w | 1150 |
ξ | 12 | w | 1151 |
δεύτερα | 2 | w | 1159 |
δὲ | 5 | w | 1161 |
κατʼ | 2 | w | 1165 |
ἐπιδιαίρεσιν | 1 | w | 1177 |
γχ | 1 | w | 1179 |
εἶτα | 2 | w | 1184 |
μείζονος | 1 | w | 1192 |
ἀκριβείας | 3 | w | 1201 |
δεηθέντες | 1 | w | 1210 |
διὰ | 5 | w | 1213 |
τὸ | 10 | w | 1215 |
ἐν | 2 | w | 1217 |
τοῖς | 3 | w | 1221 |
κατʼ | 3 | w | 1225 |
οὐρανὸν | 2 | w | 1232 |
παράλλαξιν | 1 | w | 1242 |
ὁποιανοῦν | 1 | w | 1251 |
βραχυτάτην | 1 | w | 1261 |
ἡμῖν | 1 | w | 1265 |
ἐπινοουμένην | 1 | w | 1277 |
οὐ | 3 | w | 1279 |
μικρὰν | 1 | w | 1285 |
ἐργάζεσθαι | 1 | w | 1295 |
διαφοράν | 1 | w | 1303 |
ἕκαστον | 4 | w | 1311 |
τῶν | 9 | w | 1314 |
δευτέρων | 1 | w | 1322 |
2 | 1 | w | 1323 |
εἶναι | 2 | w | 1328 |
εἰδέναι | 1 | w | 1336 |
coni | 1 | w | 1340 |
Hultsch | 1 | w | 1348 |
5 | 1 | w | 1350 |
τε | 8 | w | 1352 |
γε | 1 | w | 1355 |
coni | 2 | w | 1359 |
Hultsch | 2 | w | 1367 |
7 | 1 | w | 1369 |
διαιροῦμεν | 1 | w | 1379 |
A | 1 | w | 1380 |
9 | 1 | w | 1382 |
ἐξῆν | 2 | w | 1386 |
ἐξὸν | 1 | w | 1391 |
mel | 1 | w | 1394 |
cod | 2 | w | 1398 |
Par | 1 | w | 1402 |
2390 | 1 | w | 1407 |
11 | 1 | w | 1410 |
προστημόρια | 1 | w | 1421 |
A | 2 | w | 1422 |
14 | 1 | w | 1425 |
ξ | 16 | w | 1426 |
ἑξηκοστόν | 1 | w | 1435 |
ξξα | 1 | w | 1439 |
ἑξηκοστά | 1 | w | 1447 |
λεπτῶν | 2 | w | 1454 |
διελόντες | 1 | w | 1463 |
εἰς | 5 | w | 1466 |
ἕτερα | 2 | w | 1471 |
ξξα | 2 | w | 1474 |
ἐκάλεσαν | 3 | w | 1483 |
τὰ | 11 | w | 1485 |
γενόμενα | 1 | w | 1493 |
λεπτὰ | 3 | w | 1498 |
τρίτα | 1 | w | 1503 |
ὄντα | 1 | w | 1507 |
κατὰ | 2 | w | 1511 |
τὴν | 4 | w | 1514 |
τρίτην | 1 | w | 1520 |
διαίρεσιν | 3 | w | 1529 |
οὕτως | 2 | w | 1535 |
διαιροῦνται | 1 | w | 1546 |
τὴν | 5 | w | 1549 |
μοῖραν | 3 | w | 1555 |
ἤτοι | 2 | w | 1559 |
μονάδα | 1 | w | 1565 |
ἤτοι | 3 | w | 1569 |
πόδα | 1 | w | 1573 |
εἰς | 6 | w | 1576 |
μυριάδας | 1 | w | 1584 |
κα | 16 | w | 1586 |
Ϛ | 1 | w | 1587 |
ὥστε | 1 | w | 1592 |
τὸ | 11 | w | 1594 |
τρίτον | 1 | w | 1600 |
λεπτὸν | 1 | w | 1606 |
ἓν | 1 | w | 1608 |
γίνεσθαι | 2 | w | 1616 |
εἰκοστόμονον | 1 | w | 1628 |
μυριάδων | 1 | w | 1636 |
ἑξακισχιλιοστὸν | 1 | w | 1651 |
τῆς | 2 | w | 1654 |
μονάδος | 1 | w | 1661 |
ἔτι | 1 | w | 1665 |
φιλαλήθεις | 1 | w | 1675 |
ὄντες | 1 | w | 1680 |
ἕκαστον | 5 | w | 1688 |
τῶν | 11 | w | 1691 |
τρίτων | 1 | w | 1697 |
λεπτῶν | 3 | w | 1703 |
τούτωον | 1 | w | 1710 |
διεῖλον | 2 | w | 1717 |
εἰς | 7 | w | 1720 |
ξ | 24 | w | 1721 |
καὶ | 4 | w | 1724 |
τὰ | 14 | w | 1726 |
γενόμενα | 2 | w | 1734 |
ἐκάλουν | 1 | w | 1741 |
λεπτὰ | 4 | w | 1746 |
ἤτοι | 4 | w | 1750 |
ἑξηκοστὰ | 2 | w | 1758 |
τέταρτα | 1 | w | 1765 |
καὶ | 5 | w | 1769 |
εἶχον | 1 | w | 1774 |
ἔτι | 2 | w | 1777 |
πολλῷ | 1 | w | 1782 |
ἐλάσσονα | 1 | w | 1790 |
μόρια | 3 | w | 1795 |
λαμβανόμενα | 1 | w | 1806 |
τῆς | 3 | w | 1809 |
μονάδος | 2 | w | 1816 |
ταῦτα | 2 | w | 1821 |
τὰ | 17 | w | 1823 |
ἑξηκοστά | 2 | w | 1831 |
διῄρουν | 1 | w | 1839 |
γὰρ | 2 | w | 1842 |
οὕτως | 3 | w | 1847 |
τὴν | 6 | w | 1850 |
μονάδα | 2 | w | 1856 |
εἰς | 8 | w | 1859 |
μυριάδας | 2 | w | 1867 |
ασ | 12 | w | 1869 |
ϞϚ | 1 | w | 1871 |
ἐπιστῆσαι | 1 | w | 1881 |
οὖν | 3 | w | 1884 |
ἐστιν | 1 | w | 1889 |
ἐκ | 5 | w | 1891 |
τούτων | 1 | w | 1897 |
ὁ | 2 | w | 1898 |
πᾶς | 1 | w | 1901 |
κύκλος | 1 | w | 1907 |
εἰς | 9 | w | 1910 |
πόσα | 1 | w | 1914 |
διῄρητο | 1 | w | 1921 |
διὰ | 6 | w | 1924 |
τούτων | 2 | w | 1930 |
οὕτω | 4 | w | 1935 |
δὴ | 2 | w | 1937 |
οὖν | 4 | w | 1940 |
κατὰ | 3 | w | 1944 |
τὸ | 14 | w | 1946 |
ἑξῆς | 1 | w | 1950 |
προῆλθον | 1 | w | 1958 |
μέχρι | 1 | w | 1963 |
ἕκτων | 1 | w | 1968 |
ἑξηκοστῶν | 1 | w | 1977 |
ποιήσαντες | 1 | w | 1988 |
τὴν | 7 | w | 1991 |
ὑποδιαίρεσιν | 1 | w | 2003 |
ἀνάλογον | 1 | w | 2011 |
ἔχουσαν | 1 | w | 2018 |
ἔστι | 1 | w | 2023 |
γὰρ | 3 | w | 2026 |
ὡς | 5 | w | 2028 |
μονὰς | 1 | w | 2033 |
πρὸς | 6 | w | 2037 |
ἑξηκοστὰ | 3 | w | 2045 |
πρῶτα | 2 | w | 2050 |
οὕτω | 5 | w | 2055 |
πρῶτα | 3 | w | 2060 |
ἑξηκοστὰ | 4 | w | 2068 |
πρὸς | 7 | w | 2072 |
δεύτερα | 3 | w | 2079 |
καὶ | 6 | w | 2082 |
δεύτερα | 4 | w | 2089 |
πρὸς | 8 | w | 2093 |
τρίτα | 2 | w | 2098 |
καὶ | 7 | w | 2101 |
τρίτα | 3 | w | 2106 |
πρὸς | 9 | w | 2110 |
τέταρτα | 2 | w | 2117 |
καὶ | 8 | w | 2120 |
ἑξῆς | 2 | w | 2124 |
ἔστι | 2 | w | 2130 |
γὰρ | 4 | w | 2133 |
ὡς | 6 | w | 2135 |
ἓν | 2 | w | 2137 |
πρὸς | 10 | w | 2141 |
ἕν | 2 | w | 2143 |
οὕτω | 6 | w | 2148 |
πάντα | 2 | w | 2153 |
πρὸς | 11 | w | 2157 |
πάντα | 3 | w | 2162 |
ὡς | 7 | w | 2165 |
γὰρ | 5 | w | 2168 |
μονὰς | 2 | w | 2173 |
πρὸς | 12 | w | 2177 |
ξον | 1 | w | 2180 |
α | 154 | w | 2181 |
πρῶτον | 3 | w | 2187 |
οὕτως | 4 | w | 2193 |
λεπτὸν | 2 | w | 2199 |
α | 155 | w | 2200 |
πρῶτον | 4 | w | 2206 |
πρὸς | 13 | w | 2210 |
δεύτερον | 1 | w | 2218 |
καὶ | 9 | w | 2221 |
δεύτερον | 2 | w | 2229 |
πρὸς | 14 | w | 2233 |
τρίτον | 2 | w | 2239 |
καὶ | 10 | w | 2242 |
ἑξῆς | 3 | w | 2246 |
ὁμοίως | 1 | w | 2253 |
δὲ | 6 | w | 2255 |
καὶ | 11 | w | 2258 |
τὰ | 21 | w | 2260 |
ἰσάριθμα | 1 | w | 2268 |
ε | 110 | w | 2270 |
γὰρ | 6 | w | 2273 |
μοῖραι | 1 | w | 2279 |
πρὸς | 15 | w | 2283 |
ε | 111 | w | 2284 |
λεπτὰ | 5 | w | 2289 |
πρῶτα | 4 | w | 2294 |
τὸν | 9 | w | 2297 |
αὐτὸν | 1 | w | 2302 |
λόγον | 1 | w | 2307 |
ἔχουσιν | 1 | w | 2314 |
ὃν | 1 | w | 2316 |
ε | 113 | w | 2317 |
πρῶτα | 5 | w | 2322 |
πρὸς | 16 | w | 2326 |
ε | 114 | w | 2327 |
δεύτερα | 5 | w | 2334 |
καὶ | 12 | w | 2337 |
ε | 117 | w | 2338 |
δεύτερα | 6 | w | 2345 |
πρὸς | 17 | w | 2349 |
ε | 120 | w | 2350 |
τρίτα | 4 | w | 2355 |
καὶ | 13 | w | 2358 |
ἑξῆς | 4 | w | 2362 |
ὁμοίως | 2 | w | 2368 |
τῷ | 2 | w | 2371 |
μὲν | 5 | w | 2374 |
οὖν | 5 | w | 2377 |
Πτολεμαίῳ | 1 | w | 2386 |
μέχρις | 1 | w | 2392 |
ἕκτων | 2 | w | 2397 |
ἑξηκοστῶν | 2 | w | 2406 |
ἐν | 3 | w | 2408 |
τῇ | 1 | w | 2410 |
Συντάξει | 1 | w | 2418 |
πρόεισιν | 1 | w | 2426 |
ἡ | 5 | w | 2427 |
διαίρεσις | 1 | w | 2436 |
γενναίως | 1 | w | 2444 |
καὶ | 14 | w | 2447 |
ἀκριβῶς | 1 | w | 2454 |
ποιουμένῳ | 1 | w | 2463 |
τὰς | 3 | w | 2466 |
παραδόσεις | 1 | w | 2476 |
ἡμῖν | 2 | w | 2481 |
δὲ | 7 | w | 2483 |
ἀρκείτω | 1 | w | 2490 |
παραδείγματος | 1 | w | 2503 |
ἀστείου | 1 | w | 2510 |
καὶ | 15 | w | 2513 |
εἰσαγωγῆς | 1 | w | 2522 |
ἕνεκεν | 2 | w | 2528 |
ἕως | 1 | w | 2531 |
δευτέρων | 2 | w | 2539 |
λεπτῶν | 4 | w | 2545 |
τουτέστιν | 1 | w | 2554 |
ἕως | 2 | w | 2557 |
γχ | 2 | w | 2559 |
διαιρεῖσθαι | 1 | w | 2570 |
1 | 5 | w | 2571 |
εἰς | 10 | w | 2574 |
om | 1 | w | 2576 |
A | 3 | w | 2578 |
4 | 2 | w | 2580 |
μυριάδας | 3 | w | 2588 |
et | 1 | w | 2590 |
Ϛ | 3 | w | 2591 |
in | 1 | w | 2593 |
scholio | 1 | w | 2600 |
marginali | 1 | w | 2609 |
B | 2 | w | 2610 |
5 | 2 | w | 2612 |
εἰκοστομον | 1 | w | 2622 |
A | 4 | w | 2623 |
εἰκοστομόριον | 1 | w | 2637 |
B | 3 | w | 2638 |
11 | 2 | w | 2641 |
ασ | 13 | w | 2643 |
Ϟβ | 1 | w | 2645 |
B | 4 | w | 2646 |
14 | 2 | w | 2649 |
ὡς | 8 | w | 2651 |
B | 5 | w | 2652 |
ἡ | 7 | w | 2654 |
A | 5 | w | 2655 |
17 | 1 | w | 2658 |
οὕτως | 5 | w | 2663 |
B | 6 | w | 2664 |
18 | 2 | w | 2667 |
πρὸς | 18 | w | 2671 |
ξ | 37 | w | 2672 |
B | 7 | w | 2673 |
ξ | 38 | w | 2675 |
ξ | 39 | w | 2676 |
A | 6 | w | 2677 |
21 | 1 | w | 2680 |
τὸν | 11 | w | 2683 |
addidi | 1 | w | 2689 |
ἔχουσι | 2 | w | 2696 |
A | 7 | w | 2698 |
22 | 1 | w | 2701 |
ε | 139 | w | 2702 |
addidi | 2 | w | 2708 |
25 | 1 | w | 2711 |
τὰς | 4 | w | 2714 |
om | 2 | w | 2716 |
B | 8 | w | 2718 |
τὴν | 8 | w | 2722 |
μονάδα | 3 | w | 2728 |
ἤτοι | 5 | w | 2732 |
τὸν | 12 | w | 2735 |
πύδα | 1 | w | 2739 |
τοῦτο | 3 | w | 2745 |
γὰρ | 7 | w | 2748 |
καὶ | 16 | w | 2751 |
πρὸς | 19 | w | 2755 |
τὰς | 5 | w | 2758 |
τοῦ | 7 | w | 2761 |
Προχείρου | 1 | w | 2770 |
Κανόνος | 1 | w | 2777 |
Ψηφοφορίας | 1 | w | 2787 |
ἐξαρκεῖν | 1 | w | 2795 |
δοκεῖ | 1 | w | 2800 |
τοῖς | 4 | w | 2804 |
παλαιοῖς | 1 | w | 2812 |
Περὶ | 1 | w | 2817 |
πολλαπλασιασμοῦ | 1 | w | 2832 |
Πολλαπλασιασμοῦ | 1 | w | 2848 |
ὁρισμός | 1 | w | 2855 |