Refs | {'start': {'reference': '16', 'human_reference': 'Paragraph 16'}, 'end': {'reference': '20', 'human_reference': 'Paragraph 20'}} |
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Ancestors | [] |
Children | [] |
Καλεῖται | 1 | w | 8 |
δὲ | 1 | w | 10 |
παρὰ | 1 | w | 14 |
τοῖς | 1 | w | 18 |
γεωμέτραις | 1 | w | 28 |
παραβολὴ | 1 | w | 36 |
χωρίου | 1 | w | 42 |
τὸ | 1 | w | 45 |
γὰρ | 1 | w | 48 |
δοθὲν | 1 | w | 53 |
χωρίον | 1 | w | 59 |
παραβάλλεται | 1 | w | 71 |
οἷον | 1 | w | 76 |
εἰ | 1 | w | 79 |
τύχοι | 1 | w | 84 |
τὸ | 2 | w | 87 |
τῶν | 1 | w | 90 |
ρ | 8 | w | 91 |
μ | 2 | w | 92 |
παρά | 1 | w | 96 |
τινα | 1 | w | 100 |
ὑπόθου | 1 | w | 107 |
τὸν | 1 | w | 110 |
ε | 5 | w | 111 |
ἀριθμόν | 1 | w | 118 |
καὶ | 1 | w | 122 |
ποίει | 1 | w | 127 |
τὸν | 2 | w | 130 |
κ | 2 | w | 131 |
ἀριθμὸν | 1 | w | 138 |
πλάτος | 1 | w | 144 |
γινόμενον | 1 | w | 153 |
τοῦ | 1 | w | 156 |
χωρίου | 2 | w | 162 |
ἦν | 1 | w | 165 |
δὲ | 2 | w | 167 |
ὁ | 1 | w | 168 |
ὁ | 2 | w | 169 |
ἐπιζητούμενος | 1 | w | 182 |
ὃς | 1 | w | 184 |
καὶ | 2 | w | 187 |
εὕρηται | 1 | w | 194 |
ἤδη | 1 | w | 197 |
διὰ | 1 | w | 201 |
γὰρ | 2 | w | 204 |
τούτου | 1 | w | 210 |
ὁ | 3 | w | 211 |
μερισμὸς | 1 | w | 219 |
παντελῶς | 1 | w | 227 |
ἀνεφάνθη | 1 | w | 235 |
τοῦτο | 1 | w | 241 |
δὲ | 3 | w | 243 |
ἦν | 2 | w | 245 |
τὸ | 5 | w | 247 |
λεγόμενον | 1 | w | 256 |
ὅτι | 1 | w | 259 |
οὐδὲν | 1 | w | 264 |
ἕτερόν | 1 | w | 270 |
ἐστι | 1 | w | 274 |
τὸ | 6 | w | 276 |
μερίσαι | 1 | w | 283 |
ἢ | 1 | w | 284 |
τὸ | 7 | w | 286 |
εὑρεῖν | 1 | w | 292 |
τινα | 2 | w | 296 |
ἀριθμὸν | 2 | w | 303 |
ὃς | 2 | w | 305 |
συντεθεὶς | 1 | w | 314 |
ἐπὶ | 1 | w | 317 |
τὸν | 3 | w | 320 |
παρʼ | 1 | w | 324 |
ὃν | 1 | w | 326 |
γίνεται | 1 | w | 333 |
ὁ | 4 | w | 334 |
μερισμός | 1 | w | 342 |
οἷον | 2 | w | 347 |
ὁ | 5 | w | 348 |
κ | 4 | w | 349 |
ὃς | 3 | w | 351 |
εὕρηται | 2 | w | 358 |
ἐπὶ | 2 | w | 362 |
τὸν | 4 | w | 365 |
ε | 24 | w | 366 |
ποιῆσαι | 1 | w | 373 |
ὀφείλει | 1 | w | 380 |
τὸ | 10 | w | 382 |
τοῦ | 3 | w | 385 |
μεριζομένου | 1 | w | 396 |
πλῆθος | 1 | w | 402 |
ὃ | 5 | w | 404 |
καὶ | 3 | w | 407 |
ἔστιν | 1 | w | 412 |
ὁ | 6 | w | 414 |
γὰρ | 3 | w | 417 |
εἰρημένος | 1 | w | 426 |
κ | 6 | w | 427 |
παρὰ | 2 | w | 431 |
τὸν | 5 | w | 434 |
ε | 29 | w | 435 |
ποιεῖ | 1 | w | 440 |
τὸν | 6 | w | 443 |
ρ | 27 | w | 444 |
ὥστε | 1 | w | 449 |
δεῖ | 1 | w | 452 |
ἐπιστῆσαι | 1 | w | 461 |
ὅτι | 2 | w | 464 |
ὁ | 7 | w | 465 |
μέλλων | 1 | w | 471 |
μερίζειν | 1 | w | 479 |
τι | 7 | w | 481 |
πρότερον | 1 | w | 490 |
ἀποβλέπει | 1 | w | 499 |
εἰς | 1 | w | 502 |
τὸ | 13 | w | 504 |
βάθος | 1 | w | 509 |
τῆς | 1 | w | 512 |
γενέσεως | 1 | w | 520 |
τοῦ | 4 | w | 523 |
μέλλοντος | 1 | w | 532 |
μερίζεσθαι | 1 | w | 542 |
ἦν | 3 | w | 545 |
γὰρ | 4 | w | 548 |
ὁ | 8 | w | 549 |
πολλαπλασιάσας | 1 | w | 563 |
τὸν | 7 | w | 566 |
μέλλοντα | 1 | w | 574 |
μερίζεσθαι | 2 | w | 584 |
ἡ | 1 | w | 585 |
γένεσις | 1 | w | 592 |
αὐτοῦ | 1 | w | 597 |
ἰδοῦ | 1 | w | 601 |
γὰρ | 5 | w | 604 |
ὅτι | 3 | w | 607 |
καὶ | 4 | w | 610 |
ὁ | 9 | w | 611 |
μερισμὸς | 2 | w | 619 |
γέγονεν | 1 | w | 626 |
ἡμῖν | 1 | w | 630 |
ἐκ | 1 | w | 632 |
τῆς | 2 | w | 635 |
θεωρίας | 1 | w | 642 |
τοῦ | 6 | w | 645 |
πολλαπλασιάζοντος | 1 | w | 662 |
τὸν | 8 | w | 665 |
μερίζοντα | 1 | w | 674 |
Σαφῶς | 1 | w | 680 |
τούτων | 1 | w | 686 |
εἰρημένων | 1 | w | 695 |
εἴπωμεν | 1 | w | 703 |
τί | 1 | w | 705 |
τε | 6 | w | 707 |
παρά | 2 | w | 711 |
τι | 9 | w | 713 |
μεριζόμενον | 1 | w | 724 |
ποιεῖ | 2 | w | 729 |
τί | 2 | w | 731 |
δήλου | 1 | w | 737 |
ὄντος | 1 | w | 742 |
τοῦ | 7 | w | 745 |
ὅτι | 4 | w | 748 |
μοῖραι | 1 | w | 754 |
παρὰ | 3 | w | 758 |
1 | 1 | w | 759 |
ἐναντίους | 1 | w | 768 |
B | 1 | w | 769 |
4 | 1 | w | 771 |
οὕτω | 1 | w | 775 |
A | 1 | w | 776 |
7 | 1 | w | 778 |
τὸν | 9 | w | 781 |
παρʼ | 2 | w | 785 |
ὃν | 2 | w | 787 |
τὸ | 17 | w | 790 |
παρὸν | 1 | w | 795 |
AB | 1 | w | 797 |
10 | 1 | w | 800 |
παραβάλλοι | 1 | w | 811 |
A | 3 | w | 812 |
παραβάλλει | 1 | w | 823 |
B | 3 | w | 825 |
εἰ | 5 | w | 828 |
om | 1 | w | 830 |
A | 4 | w | 832 |
16 | 1 | w | 835 |
τὸν | 10 | w | 838 |
A | 5 | w | 839 |
τὸ | 19 | w | 842 |
B | 4 | w | 843 |
17 | 1 | w | 846 |
μερισμός | 2 | w | 854 |
B | 5 | w | 855 |
ἀριθμός | 1 | w | 863 |
A | 6 | w | 864 |
22 | 1 | w | 867 |
πολλαπλασιασασμὸς | 1 | w | 884 |
A | 7 | w | 885 |
24 | 1 | w | 888 |
ἐκ | 2 | w | 890 |
addidi | 1 | w | 896 |
24 | 2 | w | 899 |
25 | 1 | w | 902 |
πλασιάζοντος | 2 | w | 914 |
AB | 2 | w | 916 |
26 | 1 | w | 919 |
εἴπομεν | 1 | w | 926 |
AB | 3 | w | 928 |
μοίρας | 1 | w | 935 |
μεριζόμεναι | 1 | w | 946 |
μοίρας | 2 | w | 952 |
ποιοῦσιν | 1 | w | 960 |
ζητουμένου | 1 | w | 971 |
δὲ | 5 | w | 973 |
τοῦ | 8 | w | 976 |
περὶ | 1 | w | 980 |
τῶν | 2 | w | 983 |
ξξ | 1 | w | 985 |
λόγου | 1 | w | 990 |
περὶ | 2 | w | 995 |
τούτου | 2 | w | 1001 |
ῥητέον | 1 | w | 1007 |
ἰστέον | 1 | w | 1014 |
τοίνυν | 1 | w | 1020 |
ὁποιονοῦν | 1 | w | 1030 |
εἶδος | 1 | w | 1035 |
λεπτῶν | 1 | w | 1041 |
ἐπὶ | 3 | w | 1044 |
τὸ | 20 | w | 1046 |
πρὸ | 1 | w | 1049 |
ἑαυτοῦ | 1 | w | 1055 |
προσεχὲς | 1 | w | 1063 |
μεριζόμενον | 2 | w | 1074 |
ἓν | 1 | w | 1077 |
ὁποιονοῦν | 2 | w | 1086 |
τῶν | 4 | w | 1089 |
πρὸ | 2 | w | 1092 |
αὐτοῦ | 2 | w | 1097 |
εἶδος | 2 | w | 1102 |
ποιεῖ | 3 | w | 1107 |
χωρὶς | 1 | w | 1113 |
τῶν | 5 | w | 1116 |
πρώτων | 1 | w | 1122 |
λεπτῶν | 2 | w | 1128 |
μόνων | 1 | w | 1133 |
ι | 60 | w | 1135 |
γὰρ | 6 | w | 1138 |
τυχὸν | 1 | w | 1143 |
λεπτὰ | 1 | w | 1148 |
πρῶτα | 1 | w | 1153 |
παρὰ | 4 | w | 1157 |
β | 7 | w | 1158 |
μοίρας | 3 | w | 1164 |
μεριζόμενα | 2 | w | 1174 |
πρῶτα | 2 | w | 1180 |
λεπτὰ | 2 | w | 1185 |
ποιεῖ | 4 | w | 1190 |
ε | 78 | w | 1191 |
καὶ | 5 | w | 1195 |
φανερὸν | 1 | w | 1202 |
ὅτι | 5 | w | 1205 |
τὰ | 3 | w | 1207 |
πρῶτα | 3 | w | 1212 |
λεπτὰ | 3 | w | 1217 |
παρὰ | 5 | w | 1221 |
τὸ | 21 | w | 1223 |
πρὸ | 3 | w | 1226 |
αὐτῶν | 1 | w | 1231 |
εἶδος | 3 | w | 1236 |
μερισθέντα | 1 | w | 1246 |
τουτέστι | 1 | w | 1255 |
παρὰ | 6 | w | 1259 |
μοίρας | 4 | w | 1265 |
τὸ | 22 | w | 1268 |
ἐξ | 1 | w | 1270 |
ἀρχῆς | 1 | w | 1275 |
ἴδιον | 1 | w | 1280 |
εἶδος | 4 | w | 1285 |
πεποίηκε | 1 | w | 1293 |
πρῶτα | 4 | w | 1299 |
γὰρ | 7 | w | 1302 |
μεμένηκεν | 1 | w | 1311 |
Ἐπὶ | 1 | w | 1315 |
δὲ | 6 | w | 1317 |
τῶν | 8 | w | 1320 |
μετὰ | 1 | w | 1324 |
ταῦτα | 1 | w | 1329 |
οὐχ | 1 | w | 1332 |
οὕτως | 1 | w | 1337 |
ἔχει | 1 | w | 1341 |
λοιπῶν | 1 | w | 1347 |
εἰδῶν | 1 | w | 1352 |
δεύτερα | 1 | w | 1360 |
γὰρ | 8 | w | 1363 |
παρὰ | 7 | w | 1367 |
τὰ | 6 | w | 1369 |
προσεχῆ | 1 | w | 1376 |
αὐτοῖς | 1 | w | 1382 |
πρῶτα | 5 | w | 1387 |
μεριζόμενα | 3 | w | 1397 |
πρῶτα | 6 | w | 1403 |
ποιεῖ | 5 | w | 1408 |
καὶ | 6 | w | 1412 |
οὐκέτι | 1 | w | 1418 |
τὰ | 7 | w | 1420 |
αὐτὰ | 1 | w | 1424 |
δεύτερα | 2 | w | 1431 |
τοῦτο | 2 | w | 1437 |
δὲ | 7 | w | 1439 |
ῥᾷον | 1 | w | 1443 |
ἐπιστῆσαι | 2 | w | 1452 |
ἐκ | 3 | w | 1454 |
τῶν | 9 | w | 1457 |
ἐπάνω | 1 | w | 1462 |
εἰρημένων | 2 | w | 1471 |
ἐλέγετο | 1 | w | 1479 |
δὲ | 8 | w | 1481 |
ὅτι | 6 | w | 1484 |
δεῖ | 2 | w | 1487 |
ζητῆσαι | 1 | w | 1494 |
ἀριθμὸν | 3 | w | 1501 |
ὃς | 4 | w | 1503 |
συντιθέμενος | 1 | w | 1515 |
ἐπὶ | 4 | w | 1518 |
τὸν | 11 | w | 1521 |
παρʼ | 3 | w | 1525 |
ὃν | 3 | w | 1527 |
γίνεται | 2 | w | 1534 |
ὁ | 12 | w | 1535 |
μερισμός | 3 | w | 1543 |
καὶ | 7 | w | 1547 |
τὰ | 9 | w | 1549 |
ἑξῆς | 1 | w | 1553 |
κἀνταῦθα | 1 | w | 1562 |
οὖν | 1 | w | 1565 |
τὸ | 24 | w | 1567 |
αὐτό | 1 | w | 1571 |
ἐστι | 2 | w | 1575 |
δεῖ | 3 | w | 1579 |
γὰρ | 9 | w | 1582 |
ζητῆσαι | 2 | w | 1589 |
ἀριθμὸν | 4 | w | 1596 |
ὃς | 5 | w | 1598 |
συντιθέμενος | 2 | w | 1610 |
ἐπὶ | 5 | w | 1613 |
τὸν | 12 | w | 1616 |
μερίζοντα | 2 | w | 1625 |
πάντως | 1 | w | 1631 |
ποιῆσαι | 2 | w | 1638 |
ὀφείλει | 2 | w | 1645 |
τὸ | 26 | w | 1647 |
μεριζόμενον | 3 | w | 1658 |
εἶδος | 5 | w | 1663 |
ἔστι | 2 | w | 1668 |
δὲ | 9 | w | 1670 |
ὁ | 13 | w | 1671 |
εὑρισκόμενος | 1 | w | 1683 |
ὁ | 14 | w | 1684 |
ε | 115 | w | 1685 |
εἴρηται | 1 | w | 1693 |
δὲ | 10 | w | 1695 |
ἐν | 2 | w | 1697 |
τοῖς | 3 | w | 1701 |
πολλαπλασιασμοῖς | 1 | w | 1717 |
καὶ | 8 | w | 1720 |
τοῦτο | 3 | w | 1725 |
ὅτι | 7 | w | 1728 |
μοῖρα | 2 | w | 1733 |
ἤτοι | 1 | w | 1737 |
μοῖραι | 2 | w | 1743 |
ἐφʼ | 1 | w | 1747 |
ὃ | 10 | w | 1748 |
ἂν | 1 | w | 1750 |
εἶδος | 6 | w | 1755 |
πολλαπλασιασθῶσιν | 1 | w | 1772 |
τὸ | 27 | w | 1775 |
αὐτὸ | 1 | w | 1779 |
εἶδος | 7 | w | 1784 |
φυλάξουσιν | 1 | w | 1794 |
εἰ | 8 | w | 1797 |
δὲ | 11 | w | 1799 |
ταῦτα | 2 | w | 1804 |
οὕτως | 2 | w | 1809 |
καὶ | 9 | w | 1813 |
ἀνάπαλιν | 1 | w | 1821 |
πᾶν | 1 | w | 1824 |
εἶδος | 8 | w | 1829 |
παρὰ | 8 | w | 1833 |
μοῖραν | 1 | w | 1839 |
ἢ | 2 | w | 1840 |
μοίρας | 5 | w | 1846 |
μεριζόμενον | 4 | w | 1857 |
ἤτοι | 2 | w | 1862 |
παραβαλλόμενον | 1 | w | 1876 |
τὸ | 29 | w | 1879 |
αὐτὸ | 2 | w | 1883 |
εἶδος | 9 | w | 1888 |
φυλάξει | 1 | w | 1895 |
πρῶτα | 7 | w | 1901 |
δὲ | 12 | w | 1903 |
λεπτὰ | 4 | w | 1908 |
παρὰ | 9 | w | 1912 |
πρῶτα | 8 | w | 1917 |
μεριζόμενα | 4 | w | 1927 |
μοίρας | 6 | w | 1933 |
ποιεῖ | 6 | w | 1938 |
ὥσπερ | 1 | w | 1944 |
καὶ | 10 | w | 1947 |
μοῖραι | 3 | w | 1953 |
ἐπὶ | 6 | w | 1956 |
λεπτὰ | 5 | w | 1961 |
πρῶτα | 9 | w | 1966 |
πολλαπλασιαζόμεναι | 1 | w | 1984 |
ἐποίουν | 1 | w | 1991 |
λεπτὰ | 6 | w | 1996 |
πρῶτα | 10 | w | 2001 |
ὁμοίως | 1 | w | 2008 |
καὶ | 11 | w | 2011 |
δεύτερα | 3 | w | 2018 |
παρὰ | 10 | w | 2022 |
δεύτερα | 4 | w | 2029 |
μοίρας | 7 | w | 2035 |
καὶ | 12 | w | 2039 |
τρίτα | 1 | w | 2044 |
παρὰ | 11 | w | 2048 |
τρίτα | 2 | w | 2053 |
μεριζόμενα | 5 | w | 2063 |
μοίρας | 8 | w | 2069 |
ποιήσει | 1 | w | 2076 |
ἐπεὶ | 1 | w | 2081 |
καὶ | 13 | w | 2084 |
μοῖραι | 4 | w | 2090 |
ἐπὶ | 7 | w | 2093 |
τρίτα | 3 | w | 2098 |
1 | 5 | w | 2099 |
ποιοῦσι | 2 | w | 2106 |
A | 10 | w | 2107 |
4 | 4 | w | 2109 |
τῶν | 10 | w | 2112 |
an | 1 | w | 2115 |
legendum | 1 | w | 2123 |
τὸ | 31 | w | 2125 |
15 | 1 | w | 2128 |
ἀριθμὸν | 5 | w | 2135 |
καὶ | 14 | w | 2139 |
AB | 4 | w | 2141 |
16 | 2 | w | 2144 |
τὸ | 32 | w | 2146 |
παρὸν | 2 | w | 2151 |
AB | 5 | w | 2153 |
19 | 1 | w | 2156 |
20 | 1 | w | 2159 |
ἔστι | 3 | w | 2163 |
ὁ | 16 | w | 2167 |
ε | 142 | w | 2168 |
delevi | 1 | w | 2174 |
λεπτὰ | 7 | w | 2180 |
πολλαπλασιαζόμεναι | 2 | w | 2198 |
τρίτα | 4 | w | 2203 |
λεπτὰ | 8 | w | 2208 |
ποιοῦσιν | 2 | w | 2216 |
καὶ | 15 | w | 2220 |
ἀπλῶς | 1 | w | 2225 |
πᾶν | 2 | w | 2228 |
εἶδος | 10 | w | 2233 |
παρʼ | 4 | w | 2237 |
ἑαυτὸ | 1 | w | 2242 |
μεριζόμενον | 5 | w | 2253 |
μοῖραν | 2 | w | 2259 |
ποιεῖ | 7 | w | 2264 |
Οὐ | 1 | w | 2267 |
δεῖ | 4 | w | 2270 |
οὖν | 2 | w | 2273 |
ἀπατᾶσθαι | 1 | w | 2282 |
εἴ | 4 | w | 2285 |
που | 1 | w | 2288 |
καθʼ | 1 | w | 2292 |
ὑπόθεσιν | 1 | w | 2300 |
τρίτα | 5 | w | 2305 |
ἑξηκοστὰ | 1 | w | 2313 |
ξ | 8 | w | 2314 |
μεριζόμενα | 6 | w | 2324 |
παρʼ | 5 | w | 2328 |
ἑαυτά | 1 | w | 2333 |
εἰ | 9 | w | 2336 |
τύχοι | 2 | w | 2341 |
παρὰ | 12 | w | 2346 |
β | 9 | w | 2347 |
λεπτὰ | 9 | w | 2352 |
τρίτα | 6 | w | 2357 |
ποιήσει | 2 | w | 2365 |
μοίρας | 9 | w | 2371 |
λ | 65 | w | 2372 |
ἐνθυμούμενος | 1 | w | 2385 |
ὅτι | 8 | w | 2388 |
τὰ | 17 | w | 2390 |
ξ | 9 | w | 2391 |
τρίτα | 7 | w | 2396 |
μεριζόμενα | 7 | w | 2406 |
ὀφείλει | 3 | w | 2413 |
ποιεῖν | 1 | w | 2419 |
ἐλάσσονα | 1 | w | 2427 |
ἑαυτῶν | 1 | w | 2433 |
ἀριθμὸν | 6 | w | 2440 |
καὶ | 16 | w | 2443 |
οὐχὶ | 1 | w | 2447 |
μοίρας | 10 | w | 2453 |
λ | 68 | w | 2454 |
αἵτινες | 1 | w | 2462 |
πολλαπλάσιαι | 1 | w | 2474 |
τυγχάνουσι | 1 | w | 2484 |
τῶν | 12 | w | 2487 |
ξ | 10 | w | 2488 |
λεπτῶν | 3 | w | 2494 |
οὐδὲν | 2 | w | 2500 |
γὰρ | 10 | w | 2503 |
ἄτοπον | 1 | w | 2509 |
ἀπαντᾶ | 1 | w | 2515 |
κἂν | 1 | w | 2519 |
γεγόνασιν | 1 | w | 2528 |
αἱ | 1 | w | 2530 |
λ | 73 | w | 2531 |
μοῖραι | 5 | w | 2537 |
ἐκ | 4 | w | 2539 |
τοῦ | 13 | w | 2542 |
μερισμοῦ | 1 | w | 2550 |
τῶν | 14 | w | 2553 |
τρίτων | 1 | w | 2559 |
λεπτῶν | 4 | w | 2565 |
παρʼ | 6 | w | 2569 |
ἑαυτά | 2 | w | 2574 |
παραβολῆς | 1 | w | 2584 |
γινομένης | 1 | w | 2593 |
τῶν | 16 | w | 2596 |
ξ | 11 | w | 2597 |
τρίτῶν | 1 | w | 2603 |
λεπτῶν | 5 | w | 2609 |
παρὰ | 13 | w | 2613 |
μικρότερόν | 1 | w | 2623 |
τινα | 3 | w | 2627 |
οἷον | 3 | w | 2632 |
τὰ | 18 | w | 2634 |
β | 11 | w | 2635 |
τρίτα | 8 | w | 2640 |
λεπτά | 1 | w | 2645 |
διότι | 1 | w | 2651 |
ἐξ | 2 | w | 2653 |
ἀνάγκης | 1 | w | 2660 |
μακροτέραν | 1 | w | 2670 |
πλευρὰν | 1 | w | 2677 |
ἐκ | 5 | w | 2679 |
τοῦ | 14 | w | 2682 |
μερισμοῦ | 2 | w | 2690 |
τῶν | 19 | w | 2693 |
λεπτῶν | 6 | w | 2699 |
ἔδει | 1 | w | 2703 |
γενέσθαι | 1 | w | 2711 |
ἐναντίως | 1 | w | 2719 |
ταῖς | 1 | w | 2723 |
μονάσι | 1 | w | 2729 |
μόρια | 1 | w | 2735 |
γάρ | 1 | w | 2738 |
εἰσι | 1 | w | 2742 |
τὰ | 19 | w | 2744 |
λεπτά | 2 | w | 2749 |
ἐπὶ | 8 | w | 2753 |
δὲ | 14 | w | 2755 |
τῶν | 21 | w | 2758 |
μορίων | 1 | w | 2764 |
ἀεὶ | 1 | w | 2767 |
τοῦτο | 4 | w | 2772 |
οὕτως | 3 | w | 2777 |
εὑρίσκεται | 1 | w | 2787 |
μεριζομένων | 1 | w | 2798 |
παρὰ | 14 | w | 2802 |
μόρια | 2 | w | 2807 |
ὥσπερ | 2 | w | 2813 |
τὸ | 34 | w | 2815 |
ιβʹ | 1 | w | 2818 |
καθʼ | 2 | w | 2822 |
ὑπόθεσιν | 2 | w | 2830 |
παρὰ | 15 | w | 2834 |
τὸ | 35 | w | 2836 |
δʹ | 1 | w | 2838 |
μεριζόμενον | 6 | w | 2849 |
ἐξ | 3 | w | 2851 |
ἀνάγκης | 2 | w | 2858 |
ποιεῖ | 9 | w | 2863 |
τὸ | 36 | w | 2865 |
γʹ | 1 | w | 2867 |
φανερὸν | 2 | w | 2875 |
δὲ | 15 | w | 2877 |
ἔσται | 1 | w | 2882 |
πάλιν | 1 | w | 2887 |
τὸ | 37 | w | 2889 |
λεγόμενον | 2 | w | 2898 |
διʼ | 1 | w | 2901 |
ἀναγραφῆς | 1 | w | 2910 |
χωρίου | 3 | w | 2916 |
τῷ | 1 | w | 2918 |
βουλομένῳ | 1 | w | 2927 |
σεσημειώσθω | 1 | w | 2939 |
δὲ | 16 | w | 2941 |
τὸ | 38 | w | 2943 |
εἰρημένον | 1 | w | 2952 |
ὡς | 1 | w | 2954 |
ἀναγκαῖον | 1 | w | 2963 |
καὶ | 17 | w | 2966 |
τοῖς | 4 | w | 2970 |
πολλοῖς | 1 | w | 2977 |
οὐκ | 2 | w | 2980 |
εὔδηλον | 1 | w | 2987 |
Δεύτερα | 1 | w | 2995 |
μέντοι | 1 | w | 3001 |
λεπτὰ | 10 | w | 3006 |
παρὰ | 16 | w | 3010 |
πρῶτα | 11 | w | 3015 |
ποιεῖ | 10 | w | 3020 |
πρῶτα | 12 | w | 3025 |
ἐπειδὴ | 1 | w | 3032 |
καὶ | 18 | w | 3035 |
πρῶτα | 13 | w | 3040 |
ἐπὶ | 9 | w | 3043 |
πρῶτα | 14 | w | 3048 |
πολλαπλασιαζόμενα | 3 | w | 3065 |
ἐποίει | 1 | w | 3071 |
δεύτερα | 5 | w | 3078 |
καὶ | 19 | w | 3082 |
εἴρηται | 2 | w | 3089 |
ὅτι | 9 | w | 3092 |
ὁ | 17 | w | 3093 |
μερισμὸς | 3 | w | 3101 |
οὐδέν | 1 | w | 3106 |
ἐστιν | 1 | w | 3111 |
ἕτερον | 1 | w | 3117 |
ἢ | 3 | w | 3118 |
κατὰ | 1 | w | 3122 |
βάθος | 2 | w | 3127 |
πολλαπλασιασμοῦ | 1 | w | 3142 |
τινος | 1 | w | 3147 |
θεωρία | 2 | w | 3153 |
τοῦ | 16 | w | 3156 |
γεννήσαντος | 1 | w | 3167 |
τὸν | 13 | w | 3170 |
μεριζόμενον | 7 | w | 3181 |
καὶ | 20 | w | 3185 |
ὅτι | 10 | w | 3188 |
μερίζειν | 2 | w | 3196 |
ἐστὶ | 1 | w | 3200 |
τὸ | 40 | w | 3202 |
εὑρίσκειν | 1 | w | 3211 |
ἀριθμόν | 2 | w | 3218 |
τινα | 4 | w | 3222 |
ὃς | 6 | w | 3224 |
πολλαπλασιαζόμενος | 1 | w | 3242 |
ἐπὶ | 10 | w | 3245 |
τὸν | 14 | w | 3248 |
παρʼ | 7 | w | 3252 |
ὃν | 4 | w | 3254 |
γίνεται | 3 | w | 3261 |
ὁ | 18 | w | 3262 |
μερισμός | 4 | w | 3270 |
ποιήσει | 3 | w | 3278 |
τὸ | 42 | w | 3280 |
τῶν | 22 | w | 3283 |
μεριζομένων | 2 | w | 3294 |
εἶδός | 1 | w | 3299 |
τε | 15 | w | 3301 |
καὶ | 21 | w | 3304 |
πλῆθος | 2 | w | 3310 |
τῶν | 23 | w | 3313 |
μορίων | 2 | w | 3319 |
διὰ | 2 | w | 3323 |
δὴ | 2 | w | 3325 |
τὰ | 22 | w | 3327 |
αὐτὰ | 2 | w | 3331 |
καὶ | 22 | w | 3334 |
τρίτα | 9 | w | 3339 |
παρὰ | 17 | w | 3343 |
δεύτερα | 6 | w | 3350 |
μεριζόμενα | 8 | w | 3360 |
πρῶτα | 15 | w | 3365 |
ποιεῖ | 11 | w | 3370 |
ἐπεὶ | 2 | w | 3375 |
καὶ | 23 | w | 3378 |
δεύτερα | 7 | w | 3385 |
ἐπὶ | 11 | w | 3388 |
πρῶτα | 16 | w | 3393 |
πολλαπλασιαζόμενα | 4 | w | 3410 |
τρίτα | 10 | w | 3415 |
1 | 9 | w | 3416 |
ποιοῦσι | 4 | w | 3423 |
A | 13 | w | 3424 |
25 | 2 | w | 3427 |
τὸν | 15 | w | 3430 |
A | 14 | w | 3431 |
τὸ | 44 | w | 3434 |
B | 10 | w | 3435 |
27 | 1 | w | 3438 |
μορίων | 3 | w | 3444 |
μ | 138 | w | 3446 |
AB | 6 | w | 3449 |
ποιεῖ | 12 | w | 3455 |
καὶ | 24 | w | 3459 |
τρίτα | 11 | w | 3464 |
παρὰ | 18 | w | 3468 |
πρῶτα | 17 | w | 3473 |
μεριζόμενα | 9 | w | 3483 |
ποιεῖ | 13 | w | 3488 |
δεύτερα | 8 | w | 3495 |
καὶ | 25 | w | 3499 |
πέμπτα | 1 | w | 3505 |
παρὰ | 19 | w | 3509 |
δεύτερα | 9 | w | 3516 |
τρίτα | 12 | w | 3522 |
καὶ | 26 | w | 3525 |
ἑξῆς | 2 | w | 3529 |
κοινωνία | 1 | w | 3538 |
οὖν | 3 | w | 3541 |
τις | 1 | w | 3544 |
καὶ | 27 | w | 3547 |
ἐναντιότης | 1 | w | 3557 |
ὡς | 2 | w | 3560 |
εἴρηται | 3 | w | 3567 |
θεωρεῖται | 1 | w | 3577 |
ἐν | 6 | w | 3579 |
τοῖς | 5 | w | 3583 |
πολλαπλασιασμοῖς | 2 | w | 3599 |
καὶ | 28 | w | 3602 |
μερισμοῖς | 1 | w | 3611 |
πρῶτα | 18 | w | 3617 |
γὰρ | 11 | w | 3620 |
ἐπὶ | 12 | w | 3623 |
πρῶτα | 19 | w | 3628 |
πολλαπλασιαζόμενα | 5 | w | 3645 |
δεύτερα | 10 | w | 3652 |
ποιεῖ | 14 | w | 3657 |
δεύτερα | 11 | w | 3665 |
δὲ | 17 | w | 3667 |
παρὰ | 20 | w | 3671 |
πρῶτα | 20 | w | 3676 |
μεριζόμενα | 10 | w | 3686 |
πρῶτα | 21 | w | 3691 |
ποιεῖ | 15 | w | 3696 |
καὶ | 29 | w | 3700 |
πάλιν | 2 | w | 3705 |
πρῶτα | 22 | w | 3710 |
ἐπὶ | 13 | w | 3713 |
δεύτερα | 12 | w | 3720 |
τρίτα | 13 | w | 3726 |
ποιεῖ | 16 | w | 3731 |
καὶ | 30 | w | 3735 |
μεριζόμενα | 11 | w | 3745 |
ταῦτα | 3 | w | 3750 |
παρὰ | 21 | w | 3754 |
πρῶτα | 23 | w | 3759 |
ποιεῖ | 17 | w | 3764 |
δεύτερα | 13 | w | 3771 |
πάλιν | 3 | w | 3777 |
πρῶτα | 24 | w | 3782 |
ἐπὶ | 14 | w | 3785 |
τρίτα | 14 | w | 3790 |
τέταρτα | 1 | w | 3798 |
ποιεῖ | 18 | w | 3803 |
καὶ | 31 | w | 3807 |
μεριζόμενα | 12 | w | 3817 |
ταῦτα | 4 | w | 3822 |
παρὰ | 22 | w | 3826 |
τρίτα | 15 | w | 3831 |
ποιεῖ | 19 | w | 3836 |
πρῶτα | 25 | w | 3841 |
καὶ | 32 | w | 3845 |
ἑξῆς | 3 | w | 3849 |
ὁμοίως | 2 | w | 3855 |
καὶ | 33 | w | 3859 |
δεύτερα | 14 | w | 3866 |
ἐπὶ | 15 | w | 3869 |
δεύτερα | 15 | w | 3876 |
ποιεῖ | 20 | w | 3881 |
τέταρτα | 2 | w | 3888 |
καὶ | 34 | w | 3891 |
μεριζόμενα | 13 | w | 3901 |
παρὰ | 23 | w | 3905 |
τὰ | 24 | w | 3907 |
δεύτερα | 16 | w | 3914 |
τὰ | 25 | w | 3916 |
εἰρημένα | 1 | w | 3924 |
τέταρτα | 3 | w | 3931 |
ποιεῖ | 21 | w | 3936 |
δεύτερα | 17 | w | 3943 |
δῆλον | 1 | w | 3949 |
οὖν | 4 | w | 3952 |
ὅτι | 11 | w | 3955 |
ὁ | 20 | w | 3956 |
μὲν | 1 | w | 3959 |
πολλαπλασιασμὸς | 1 | w | 3974 |
παρωνύμως | 1 | w | 3983 |
γίνεται | 4 | w | 3990 |
ἐκ | 6 | w | 3992 |
τοῦ | 17 | w | 3995 |
κατὰ | 2 | w | 3999 |
σύνθεσιν | 1 | w | 4007 |
ὡς | 3 | w | 4010 |
εἴρηται | 4 | w | 4017 |
δεύτερα | 18 | w | 4025 |
γάρ | 2 | w | 4028 |
εἰ | 13 | w | 4031 |
τύχοι | 3 | w | 4036 |
ἐπὶ | 16 | w | 4040 |
τρίτα | 16 | w | 4045 |
πέμπτα | 2 | w | 4052 |
ποιεῖ | 22 | w | 4057 |
ἐπεὶ | 3 | w | 4062 |
καὶ | 35 | w | 4065 |
β | 15 | w | 4066 |
καὶ | 36 | w | 4069 |
γ | 39 | w | 4070 |
συντιθέμενα | 1 | w | 4081 |
γίνεται | 5 | w | 4088 |
ε | 287 | w | 4089 |
ὁ | 21 | w | 4091 |
δὲ | 18 | w | 4093 |
μερισμὸς | 4 | w | 4101 |
κατὰ | 3 | w | 4105 |
τὸ | 45 | w | 4107 |
ἐναντίον | 1 | w | 4115 |
τούτῳ | 1 | w | 4120 |
ἐκ | 7 | w | 4123 |
τοῦ | 18 | w | 4126 |
κατὰ | 4 | w | 4130 |
διαίρεσιν | 1 | w | 4139 |
γάρ | 3 | w | 4142 |
πέμπτα | 3 | w | 4149 |
γὰρ | 12 | w | 4152 |
παρὰ | 24 | w | 4156 |
τρίτα | 17 | w | 4161 |
μεριζόμενα | 14 | w | 4171 |
γίνεται | 6 | w | 4178 |
δεύτερα | 19 | w | 4185 |
καὶ | 37 | w | 4189 |
ἀπὸ | 1 | w | 4192 |
τῶν | 24 | w | 4195 |
ε | 295 | w | 4196 |
ἀφαιρουμένων | 1 | w | 4208 |
γ | 44 | w | 4209 |
καταλείπονται | 1 | w | 4222 |
β | 16 | w | 4223 |
κα | 46 | w | 4226 |
φανερὸν | 3 | w | 4233 |
ὅτι | 12 | w | 4236 |
ἐκ | 8 | w | 4238 |
τοῦ | 19 | w | 4241 |
κατὰ | 5 | w | 4245 |
διαίρεσιν | 2 | w | 4254 |
παρωνύμου | 1 | w | 4263 |
γίνεται | 7 | w | 4270 |
ὁ | 22 | w | 4271 |
μερισμός | 5 | w | 4279 |