| Refs | {'start': {'reference': '31', 'human_reference': 'Page 31'}, 'end': {'reference': '35', 'human_reference': 'Page 35'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| αὐτῆς | 1 | w | 5 |
| ὥσπερ | 1 | w | 11 |
| καὶ | 1 | w | 14 |
| τὸ | 1 | w | 16 |
| ἀπὸ | 1 | w | 19 |
| τοῖς | 1 | w | 23 |
| ὑπὸ | 1 | w | 26 |
| γεωμετρικῶς | 1 | w | 37 |
| ἐν | 1 | w | 39 |
| ἀρτιάκις | 1 | w | 47 |
| ἀρτίῳ | 1 | w | 52 |
| συμβάντος | 1 | w | 61 |
| τὸ | 2 | w | 63 |
| τοὺς | 1 | w | 67 |
| ἄκρους | 1 | w | 73 |
| καὶ | 2 | w | 76 |
| τοὺς | 2 | w | 80 |
| ὑπ | 2 | w | 82 |
| ἐκείνους | 1 | w | 91 |
| μέχρι | 1 | w | 96 |
| μέσου | 1 | w | 101 |
| ἀλλήλους | 1 | w | 109 |
| πολυπλασιάζοντας | 1 | w | 125 |
| ἴσους | 1 | w | 130 |
| γίνεσθαι | 1 | w | 138 |
| τῷ | 1 | w | 140 |
| ἀπὸ | 2 | w | 143 |
| τοῦ | 1 | w | 146 |
| μέσου | 2 | w | 151 |
| πολυπλασιασθέντι | 1 | w | 167 |
| ἢ | 1 | w | 169 |
| δυσὶ | 1 | w | 173 |
| μέσοις | 1 | w | 179 |
| καὶ | 3 | w | 182 |
| αὐτοῖς | 1 | w | 188 |
| μηκυνομένοις | 1 | w | 200 |
| καθὰ | 1 | w | 205 |
| καὶ | 4 | w | 208 |
| οἱ | 1 | w | 210 |
| ἑκατέρωθεν | 1 | w | 220 |
| αὐτῶν | 1 | w | 225 |
| ἄκροι | 1 | w | 230 |
| ἐν | 2 | w | 233 |
| ἀρτίᾳ | 1 | w | 238 |
| δηλονότι | 1 | w | 246 |
| ἐκθέσει | 1 | w | 253 |
| ἴδιον | 1 | w | 259 |
| δὲ | 1 | w | 261 |
| τοῦ | 2 | w | 264 |
| εἴδους | 1 | w | 270 |
| τούτου | 1 | w | 276 |
| ὑπεναντίον | 1 | w | 286 |
| τῷ | 2 | w | 288 |
| τοῦ | 3 | w | 291 |
| προτέρου | 1 | w | 299 |
| τὸ | 3 | w | 301 |
| μόνον | 1 | w | 306 |
| ἢ | 2 | w | 307 |
| ὑπὸ | 2 | w | 310 |
| ἀρτίου | 1 | w | 316 |
| περισσῶς | 1 | w | 324 |
| ἢ | 3 | w | 325 |
| ὑπὸ | 3 | w | 328 |
| περισσοῦ | 1 | w | 336 |
| ἀρτίως | 1 | w | 342 |
| κατὰ | 1 | w | 346 |
| ἀναστροφὴν | 1 | w | 356 |
| μετρεῖσθαι | 1 | w | 366 |
| Ἐπειδὴ | 1 | w | 373 |
| δὲ | 2 | w | 375 |
| ἐνταῦθα | 1 | w | 382 |
| προδηλότερον | 1 | w | 394 |
| ἁμάρτημα | 1 | w | 402 |
| παρὰ | 1 | w | 406 |
| τῷ | 3 | w | 408 |
| Εὐκλείδῃ | 1 | w | 416 |
| ἐστὶ | 1 | w | 420 |
| τὸ | 4 | w | 422 |
| μὴ | 1 | w | 424 |
| διακρίνειν | 1 | w | 434 |
| ἀρτιοπέρισσον | 1 | w | 447 |
| περισσαρτίου | 1 | w | 459 |
| μηδὲ | 1 | w | 463 |
| τὸν | 1 | w | 466 |
| ἕτερον | 1 | w | 472 |
| μὲν | 1 | w | 475 |
| αὐτῶν | 2 | w | 480 |
| ἀντικεῖσθαι | 1 | w | 491 |
| ἀρ | 7 | w | 493 |
| τιάκις | 2 | w | 499 |
| ἀρτίῳ | 2 | w | 504 |
| τὸν | 2 | w | 507 |
| δὲ | 4 | w | 509 |
| λοιπὸν | 1 | w | 515 |
| ἀμφοτέρων | 1 | w | 524 |
| μῖγμα | 1 | w | 529 |
| νομίζειν | 1 | w | 537 |
| ἔτι | 1 | w | 541 |
| σαφέστερον | 1 | w | 551 |
| περὶ | 1 | w | 555 |
| τοῦ | 4 | w | 558 |
| τρίτου | 1 | w | 564 |
| λέγωμεν | 1 | w | 571 |
| αὐτὸ | 1 | w | 576 |
| τὸ | 8 | w | 578 |
| Εὐκλείδου | 1 | w | 587 |
| ῥητὸν | 1 | w | 592 |
| προεκθέμενοι | 1 | w | 604 |
| περὶ | 2 | w | 608 |
| αὐτῶν | 3 | w | 613 |
| λέγει | 1 | w | 619 |
| γὰρ | 1 | w | 622 |
| οὕτως | 1 | w | 627 |
| ἀρτιοπέρισσος | 1 | w | 641 |
| ἀριθμός | 1 | w | 648 |
| ἐστιν | 1 | w | 653 |
| ὁ | 1 | w | 654 |
| ὑπ | 6 | w | 656 |
| ἀρτίου | 2 | w | 663 |
| ἀριθμοῦ | 1 | w | 670 |
| μετρούμενος | 1 | w | 681 |
| περισσάκις | 1 | w | 691 |
| ὁ | 2 | w | 693 |
| δὲ | 5 | w | 695 |
| αὐτὸς | 1 | w | 700 |
| καὶ | 5 | w | 703 |
| περισσάρτιός | 1 | w | 715 |
| ἐστι | 2 | w | 719 |
| καὶ | 6 | w | 723 |
| γὰρ | 2 | w | 726 |
| ὑπὸ | 4 | w | 729 |
| περισσοῦ | 2 | w | 737 |
| ἀριθμοῦ | 2 | w | 744 |
| μετρεῖται | 1 | w | 753 |
| ἀρτιάκις | 2 | w | 761 |
| οἷον | 1 | w | 766 |
| λόγου | 1 | w | 771 |
| χάριν | 1 | w | 776 |
| ὁ | 3 | w | 777 |
| ϛʹ | 1 | w | 779 |
| ἐὰν | 1 | w | 783 |
| μὲν | 2 | w | 786 |
| γὰρ | 3 | w | 789 |
| δὶς | 1 | w | 792 |
| τρία | 1 | w | 796 |
| λέγωμεν | 2 | w | 803 |
| ἀρτιοπέρισσος | 2 | w | 817 |
| ἐὰν | 2 | w | 821 |
| δὲ | 6 | w | 823 |
| τρὶς | 1 | w | 827 |
| δύο | 1 | w | 830 |
| περισσάρτιος | 1 | w | 843 |
| πάνυ | 1 | w | 848 |
| εὐήθως | 1 | w | 854 |
| ἀλλὰ | 1 | w | 859 |
| καὶ | 7 | w | 862 |
| ἐν | 4 | w | 864 |
| τῷ | 4 | w | 866 |
| τρίτῳ | 1 | w | 871 |
| τῶν | 4 | w | 874 |
| ἀριθμητικῶν | 1 | w | 885 |
| τοὺς | 3 | w | 889 |
| τρεῖς | 1 | w | 894 |
| εἰς | 1 | w | 897 |
| ἕνα | 1 | w | 900 |
| συγχέει | 1 | w | 907 |
| δουλεύων | 1 | w | 916 |
| δηλονότι | 2 | w | 924 |
| τῇ | 1 | w | 926 |
| τοῦ | 5 | w | 929 |
| ὀνόματος | 1 | w | 937 |
| ἐμφάσει | 1 | w | 944 |
| φησὶ | 1 | w | 949 |
| γάρ | 1 | w | 952 |
| ἐὰν | 3 | w | 956 |
| ἄρτιος | 1 | w | 962 |
| ἀριθμὸς | 1 | w | 969 |
| τὸ | 11 | w | 971 |
| ἥμισυ | 1 | w | 976 |
| ἔχῃ | 1 | w | 979 |
| περισσόν | 1 | w | 987 |
| ἀρτιάκις | 3 | w | 996 |
| τέ | 4 | w | 998 |
| ἐστι | 3 | w | 1002 |
| περισσὸς | 1 | w | 1010 |
| καὶ | 8 | w | 1013 |
| περισσάκις | 2 | w | 1023 |
| ἄρτιος | 2 | w | 1029 |
| τὸ | 12 | w | 1032 |
| αὐτὸ | 3 | w | 1036 |
| δηλονότι | 3 | w | 1044 |
| τοῖς | 3 | w | 1048 |
| ἔμπροσθεν | 1 | w | 1057 |
| λέγων | 1 | w | 1062 |
| εἶτ | 1 | w | 1066 |
| ἐπιφέρει | 1 | w | 1075 |
| ἐὰν | 4 | w | 1079 |
| ἄρτιος | 3 | w | 1085 |
| μήτε | 1 | w | 1089 |
| τὸ | 14 | w | 1091 |
| ἥμισυ | 2 | w | 1096 |
| ἔχῃ | 2 | w | 1099 |
| περισσὸν | 1 | w | 1107 |
| μήτε | 2 | w | 1111 |
| τῶν | 5 | w | 1114 |
| ἀπὸ | 3 | w | 1117 |
| μονάδος | 1 | w | 1124 |
| ᾖ | 1 | w | 1125 |
| διπλασιαζομένων | 1 | w | 1140 |
| ἀρτιάκις | 4 | w | 1149 |
| τέ | 5 | w | 1151 |
| ἐστιν | 2 | w | 1156 |
| ἄρτιος | 4 | w | 1162 |
| καὶ | 9 | w | 1165 |
| ἀρτιάκις | 5 | w | 1173 |
| περισσὸς | 2 | w | 1181 |
| ὁ | 4 | w | 1182 |
| αὐτὸς | 2 | w | 1187 |
| καὶ | 10 | w | 1190 |
| περισσάκις | 3 | w | 1200 |
| ἄρτιος | 5 | w | 1206 |
| καὶ | 11 | w | 1210 |
| ὁ | 5 | w | 1211 |
| μὲν | 3 | w | 1214 |
| Εὐκλείδης | 1 | w | 1223 |
| οὕτως | 2 | w | 1228 |
| ἡμῖν | 1 | w | 1233 |
| δὲ | 7 | w | 1235 |
| μᾶλλον | 1 | w | 1241 |
| λεγέσθω | 1 | w | 1248 |
| τὸ | 16 | w | 1250 |
| τρίτον | 1 | w | 1256 |
| εἶδος | 1 | w | 1261 |
| ὃ | 1 | w | 1262 |
| κοινῶς | 1 | w | 1268 |
| ἐξ | 1 | w | 1270 |
| ἀμφοῖν | 1 | w | 1276 |
| πλάσσεταί | 1 | w | 1285 |
| τε | 6 | w | 1287 |
| καὶ | 12 | w | 1290 |
| εἰδοποιεῖται | 1 | w | 1302 |
| καὶ | 13 | w | 1305 |
| συμβεβηκότα | 1 | w | 1316 |
| ἴσχει | 1 | w | 1321 |
| ἔστιν | 1 | w | 1327 |
| οὖν | 1 | w | 1330 |
| καὶ | 14 | w | 1333 |
| τῷ | 5 | w | 1335 |
| ὅρῳ | 1 | w | 1338 |
| κρᾶμα | 1 | w | 1343 |
| αὐτῶν | 4 | w | 1348 |
| ὑπό | 1 | w | 1352 |
| τε | 7 | w | 1354 |
| γὰρ | 4 | w | 1357 |
| ἀρτίου | 3 | w | 1363 |
| ἀρτιάκις | 6 | w | 1371 |
| μετρεῖται | 2 | w | 1380 |
| καὶ | 15 | w | 1383 |
| ὁ | 6 | w | 1384 |
| αὐτὸς | 3 | w | 1389 |
| ὑπὸ | 5 | w | 1392 |
| ἀρτίου | 4 | w | 1398 |
| περισσάκις | 4 | w | 1408 |
| οὐδετέρῳ | 1 | w | 1417 |
| δὲ | 8 | w | 1419 |
| τῶν | 7 | w | 1422 |
| προτέρων | 1 | w | 1430 |
| τοῦθ | 1 | w | 1434 |
| ἅμα | 1 | w | 1438 |
| συμβέβηκεν | 1 | w | 1448 |
| ἀλλὰ | 2 | w | 1453 |
| θάτερον | 1 | w | 1460 |
| μόνον | 2 | w | 1465 |
| θατέρῳ | 1 | w | 1471 |
| καὶ | 16 | w | 1475 |
| μὴν | 1 | w | 1478 |
| τὸ | 18 | w | 1480 |
| πλεονάκις | 1 | w | 1489 |
| μὲν | 4 | w | 1492 |
| τοῦ | 7 | w | 1495 |
| ἅπαξ | 1 | w | 1499 |
| διαιρεῖσθαι | 1 | w | 1510 |
| παρὰ | 2 | w | 1514 |
| τοῦ | 8 | w | 1517 |
| ἀρτιάκις | 7 | w | 1525 |
| ἀρτίου | 5 | w | 1531 |
| ἔχει | 1 | w | 1535 |
| τὸ | 19 | w | 1538 |
| δὲ | 9 | w | 1540 |
| μὴ | 3 | w | 1542 |
| μέχρι | 2 | w | 1547 |
| μονάδος | 2 | w | 1554 |
| δύεσθαι | 1 | w | 1561 |
| παρὰ | 3 | w | 1565 |
| τοῦ | 9 | w | 1568 |
| ἀρτιοπερίσσου | 1 | w | 1581 |
| καὶ | 17 | w | 1585 |
| τὸ | 20 | w | 1587 |
| μὲν | 5 | w | 1590 |
| ἀντιπαίεσθαι | 1 | w | 1602 |
| τὰ | 2 | w | 1604 |
| τῶν | 8 | w | 1607 |
| μερῶν | 1 | w | 1612 |
| ὀνόματα | 1 | w | 1619 |
| ὑπὸ | 6 | w | 1622 |
| τῶν | 9 | w | 1625 |
| δυνάμεων | 1 | w | 1633 |
| κοινωνεῖ | 1 | w | 1641 |
| τῷ | 6 | w | 1643 |
| δευτέρῳ | 1 | w | 1650 |
| τὸ | 21 | w | 1653 |
| δὲ | 10 | w | 1655 |
| ἅμα | 2 | w | 1658 |
| καὶ | 18 | w | 1661 |
| ὁμωνυμεῖν | 1 | w | 1670 |
| οὐκ | 1 | w | 1673 |
| ἀπήλλακται | 1 | w | 1683 |
| τοῦ | 10 | w | 1686 |
| προτέρου | 2 | w | 1694 |
| ἀπό | 1 | w | 1698 |
| τε | 9 | w | 1700 |
| τοῦ | 11 | w | 1703 |
| μείζονος | 1 | w | 1711 |
| ἄκρου | 2 | w | 1716 |
| ὅτι | 1 | w | 1719 |
| πλεονάκις | 2 | w | 1728 |
| ἢ | 4 | w | 1729 |
| ἅπαξ | 2 | w | 1733 |
| διχοτομεῖται | 1 | w | 1745 |
| προστρέχει | 1 | w | 1755 |
| τῷ | 7 | w | 1757 |
| μέχρι | 3 | w | 1762 |
| μονάδος | 3 | w | 1769 |
| αὐτῷ | 1 | w | 1773 |
| ἀφιστάμενος | 1 | w | 1785 |
| τοῦ | 12 | w | 1788 |
| ἅπαξ | 3 | w | 1792 |
| μόνον | 3 | w | 1797 |
| διχαζομένου | 1 | w | 1808 |
| πρὸς | 1 | w | 1813 |
| δὲ | 11 | w | 1815 |
| τῷ | 9 | w | 1817 |
| ἐλάττονι | 1 | w | 1825 |
| καὶ | 19 | w | 1828 |
| ἄλλα | 1 | w | 1832 |
| διαλυτὰ | 1 | w | 1839 |
| ἔχων | 1 | w | 1843 |
| ἀφίσταται | 1 | w | 1852 |
| μὲν | 6 | w | 1855 |
| τούτου | 2 | w | 1861 |
| τέως | 1 | w | 1865 |
| προσεχὴς | 1 | w | 1874 |
| δὲ | 12 | w | 1876 |
| τῷ | 10 | w | 1878 |
| ἐναντίῳ | 1 | w | 1885 |
| γίνεται | 1 | w | 1892 |
| καὶ | 20 | w | 1896 |
| ἡ | 2 | w | 1897 |
| γένεσις | 1 | w | 1904 |
| δ | 42 | w | 1905 |
| αὐτοῦ | 1 | w | 1911 |
| ἐξ | 2 | w | 1913 |
| ἀμφοῖν | 2 | w | 1919 |
| μικτή | 1 | w | 1924 |
| τοὺς | 4 | w | 1929 |
| μὲν | 7 | w | 1932 |
| γὰρ | 5 | w | 1935 |
| τοῦ | 14 | w | 1938 |
| ἀρτιοπερίσσου | 2 | w | 1951 |
| γνώμονας | 1 | w | 1959 |
| ἐκθέσθαι | 1 | w | 1967 |
| δεῖ | 1 | w | 1970 |
| πάντας | 1 | w | 1976 |
| ἑξῆς | 1 | w | 1980 |
| ἀπὸ | 4 | w | 1983 |
| τριάδος | 1 | w | 1990 |
| τοὺς | 5 | w | 1995 |
| δὲ | 13 | w | 1997 |
| ἀρτιάκις | 8 | w | 2005 |
| ἀρτίους | 1 | w | 2012 |
| αὐτοὺς | 1 | w | 2018 |
| ἐπὶ | 1 | w | 2021 |
| ἑαυτῶν | 1 | w | 2027 |
| καὶ | 21 | w | 2030 |
| γνώμονες | 1 | w | 2038 |
| ἀπὸ | 5 | w | 2041 |
| τετράδος | 1 | w | 2049 |
| τάξει | 1 | w | 2054 |
| καὶ | 22 | w | 2058 |
| ὁποτερωθενοῦν | 1 | w | 2071 |
| ἀδιάφορον | 1 | w | 2081 |
| γάρ | 2 | w | 2084 |
| τῷ | 11 | w | 2087 |
| πρώτῳ | 1 | w | 2092 |
| τὴν | 1 | w | 2095 |
| προτέραν | 1 | w | 2103 |
| ἔκθεσιν | 1 | w | 2110 |
| καθ | 2 | w | 2113 |
| ἕκαστον | 1 | w | 2121 |
| ἐξ | 3 | w | 2123 |
| ἀρχῆς | 1 | w | 2128 |
| μηκυντέον | 1 | w | 2137 |
| μέχρι | 4 | w | 2142 |
| τις | 1 | w | 2145 |
| θέλει | 1 | w | 2150 |
| εἶτα | 1 | w | 2155 |
| τῷ | 12 | w | 2157 |
| δευτέρῳ | 2 | w | 2164 |
| πάλιν | 1 | w | 2169 |
| τοὺς | 7 | w | 2173 |
| αὐτοὺς | 2 | w | 2179 |
| καὶ | 23 | w | 2182 |
| μετὰ | 1 | w | 2186 |
| ταῦτα | 1 | w | 2191 |
| τῷ | 13 | w | 2193 |
| τρίτῳ | 2 | w | 2198 |
| εἶτα | 2 | w | 2203 |
| πάλιν | 2 | w | 2208 |
| τῷ | 14 | w | 2210 |
| τετάρτῳ | 1 | w | 2217 |
| καὶ | 24 | w | 2221 |
| ἐπ | 3 | w | 2223 |
| ἄπειρον | 1 | w | 2231 |
| ἐὰν | 5 | w | 2235 |
| μὲν | 8 | w | 2238 |
| γὰρ | 6 | w | 2241 |
| τοῖς | 4 | w | 2245 |
| τοῦ | 15 | w | 2248 |
| ἅπαξ | 4 | w | 2252 |
| διαιρετοῦ | 1 | w | 2261 |
| γνώμοσιν | 1 | w | 2269 |
| οἱ | 2 | w | 2271 |
| τοῦ | 17 | w | 2274 |
| ἑτέρου | 1 | w | 2280 |
| πολυπλασιασθῶσι | 1 | w | 2295 |
| γενήσονται | 1 | w | 2306 |
| πρῶτον | 1 | w | 2312 |
| μὲν | 9 | w | 2315 |
| ὀγδοάδι | 1 | w | 2322 |
| ἀλλήλων | 1 | w | 2329 |
| διαφέροντες | 1 | w | 2340 |
| διπλάσιοι | 1 | w | 2350 |
| ἄρτιοι | 1 | w | 2356 |
| περισσῶν | 1 | w | 2364 |
| ἐπίπλαστος | 1 | w | 2375 |
| περισσάρτιοι | 1 | w | 2387 |
| εὔτακτοι | 1 | w | 2395 |
| εὐτάκτων | 1 | w | 2403 |
| εἶτ | 4 | w | 2407 |
| ἀπ | 8 | w | 2410 |
| ἄλλης | 1 | w | 2416 |
| ἀρχῆς | 2 | w | 2421 |
| οἱ | 3 | w | 2423 |
| αὐτῶν | 5 | w | 2428 |
| τούτων | 1 | w | 2434 |
| διπλάσιοι | 2 | w | 2443 |
| τῶν | 12 | w | 2446 |
| ἐξ | 4 | w | 2448 |
| ἀρχῆς | 3 | w | 2453 |
| τετραπλάσιοι | 1 | w | 2465 |
| τετραπλασίᾳ | 1 | w | 2477 |
| πρὸς | 2 | w | 2481 |
| ἐκείνους | 2 | w | 2489 |
| χρώμενοι | 1 | w | 2497 |
| διαφορᾷ | 1 | w | 2504 |
| πρὸς | 3 | w | 2509 |
| δὲ | 14 | w | 2511 |
| τοὺς | 9 | w | 2515 |
| πρὸ | 4 | w | 2518 |
| αὐτῶν | 6 | w | 2523 |
| ἀναγκαίως | 1 | w | 2532 |
| διπλασίᾳ | 1 | w | 2540 |
| καὶ | 25 | w | 2544 |
| τοῦτο | 1 | w | 2549 |
| δι | 16 | w | 2551 |
| ὅλου | 1 | w | 2556 |
| ἀναλόγως | 1 | w | 2564 |
| καὶ | 26 | w | 2567 |
| τοῦ | 19 | w | 2570 |
| μήκους | 1 | w | 2576 |
| ὑποφαινομένου | 1 | w | 2589 |
| ἐὰν | 6 | w | 2593 |
| δὲ | 15 | w | 2595 |
| ἔμπαλιν | 1 | w | 2602 |
| τοῖς | 5 | w | 2606 |
| τοῦ | 20 | w | 2609 |
| ἀρτιάκις | 9 | w | 2617 |
| ἀρτίου | 7 | w | 2623 |
| οἱ | 4 | w | 2625 |
| τοῦ | 21 | w | 2628 |
| ἀρτιοπερίσσου | 3 | w | 2641 |
| τὰ | 5 | w | 2644 |
| μὲν | 10 | w | 2647 |
| αὐτὰ | 1 | w | 2651 |
| συμβήσεται | 1 | w | 2661 |
| μεταστήσεται | 1 | w | 2674 |
| δὲ | 16 | w | 2676 |
| εἰς | 2 | w | 2679 |
| ἄλληλα | 1 | w | 2685 |
| τὸ | 22 | w | 2687 |
| μῆκος | 1 | w | 2692 |
| καὶ | 27 | w | 2695 |
| τὸ | 23 | w | 2697 |
| πλάτος | 1 | w | 2703 |
| ὡς | 1 | w | 2706 |
| ἐν | 6 | w | 2708 |
| ἀμοιβῇ | 1 | w | 2714 |
| ἵνα | 1 | w | 2718 |
| μέντοι | 1 | w | 2724 |
| προδηλότερον | 2 | w | 2736 |
| ἠγνοηκὼς | 1 | w | 2744 |
| ὁ | 9 | w | 2745 |
| Εὐκλείδης | 2 | w | 2754 |
| ταῦτα | 2 | w | 2759 |
| φανῇ | 1 | w | 2763 |
| παρατηρητέον | 1 | w | 2776 |
| καὶ | 28 | w | 2779 |
| κατὰ | 2 | w | 2783 |
| τὰς | 1 | w | 2786 |
| ἐπὶ | 2 | w | 2789 |
| πλέον | 1 | w | 2794 |
| ἐκθέσεις | 1 | w | 2802 |
| ἔν | 1 | w | 2804 |
| τε | 17 | w | 2806 |
| μήκει | 1 | w | 2811 |
| καὶ | 29 | w | 2814 |
| πλάτει | 1 | w | 2820 |
| τὰ | 9 | w | 2822 |
| ἀμφοτέροις | 1 | w | 2832 |
| ἐκείνοις | 1 | w | 2840 |
| συμβεβηκότα | 2 | w | 2851 |
| ἅμα | 3 | w | 2854 |
| τούτῳ | 1 | w | 2859 |
| ὑπάρχοντα | 1 | w | 2868 |
| μόνῳ | 1 | w | 2872 |
| ὡς | 2 | w | 2874 |
| ἂν | 1 | w | 2876 |
| μίγματι | 1 | w | 2883 |
| αὐτῶν | 7 | w | 2888 |
| τῇ | 2 | w | 2891 |
| γὰρ | 7 | w | 2894 |
| γεωμετρικῇ | 1 | w | 2904 |
| ἀναλογίᾳ | 1 | w | 2912 |
| χρήσεται | 1 | w | 2920 |
| ὡς | 3 | w | 2922 |
| ὁ | 10 | w | 2923 |
| ἀρτιάκις | 10 | w | 2931 |
| ἄρτιος | 6 | w | 2937 |
| τὸ | 24 | w | 2939 |
| ὑπὸ | 7 | w | 2942 |
| ποιῶν | 1 | w | 2947 |
| τῶν | 15 | w | 2950 |
| ἄκρων | 1 | w | 2955 |
| ἴσον | 1 | w | 2959 |
| τῷ | 15 | w | 2961 |
| ἀπὸ | 6 | w | 2964 |
| τοῦ | 22 | w | 2967 |
| μέσου | 3 | w | 2972 |
| ἢ | 5 | w | 2973 |
| ὑπὸ | 8 | w | 2976 |
| τῶν | 16 | w | 2979 |
| μέσων | 1 | w | 2984 |
| παρὰ | 4 | w | 2988 |
| τὴν | 2 | w | 2991 |
| τῆς | 2 | w | 2994 |
| ἐκθέσεως | 1 | w | 3002 |
| ποσότητα | 1 | w | 3010 |
| τῇ | 3 | w | 3013 |
| δὲ | 17 | w | 3015 |
| ἀριθμητικῇ | 1 | w | 3025 |
| ἴσα | 1 | w | 3028 |
| συναμφότερα | 1 | w | 3039 |
| τὰ | 10 | w | 3041 |
| περιέχοντα | 1 | w | 3051 |
| τὸ | 25 | w | 3053 |
| μέσον | 1 | w | 3058 |
| ἢ | 6 | w | 3059 |
| τὰ | 11 | w | 3061 |
| μέσα | 1 | w | 3065 |
| ἀποτελῶν | 1 | w | 3073 |
| ἢ | 7 | w | 3075 |
| δὶς | 2 | w | 3078 |
| τῷ | 16 | w | 3080 |
| ἑνὶ | 1 | w | 3083 |
| ἢ | 8 | w | 3084 |
| ἅπαξ | 5 | w | 3088 |
| τοῖς | 6 | w | 3092 |
| δυσίν | 1 | w | 3097 |
| οὕτως | 3 | w | 3103 |
| ἐν | 7 | w | 3105 |
| ἅπασι | 1 | w | 3110 |
| κοινῶς | 2 | w | 3116 |
| ἀμφοῖν | 3 | w | 3122 |
| καὶ | 30 | w | 3125 |
| ὡσανεὶ | 1 | w | 3131 |
| ἔκγονος | 1 | w | 3138 |
| οὗτος | 1 | w | 3143 |
| δείκνυται | 1 | w | 3152 |
| ἀντικειμένων | 1 | w | 3165 |
| ἀλλήλοις | 1 | w | 3173 |
| τῶν | 17 | w | 3176 |
| προελθόντων | 1 | w | 3187 |
| τοῦ | 23 | w | 3190 |
| ἀρτίου | 8 | w | 3196 |
| εἰδῶν | 1 | w | 3201 |
| οὐ | 3 | w | 3204 |
| πάντῃ | 1 | w | 3209 |
| διαφέρων | 1 | w | 3217 |
| ἑκατέρου | 1 | w | 3225 |
| οὔτε | 1 | w | 3229 |
| πάντῃ | 2 | w | 3234 |
| ὁ | 11 | w | 3235 |
| αὐτὸς | 4 | w | 3240 |
| ὤν | 1 | w | 3242 |
| εὐθυντέον | 1 | w | 3252 |
| δὴ | 2 | w | 3254 |
| τοὺς | 10 | w | 3258 |
| Εὐκλείδου | 2 | w | 3267 |
| ὅρους | 1 | w | 3272 |
| καὶ | 31 | w | 3275 |
| λεκτέον | 1 | w | 3282 |
| ὅτι | 2 | w | 3285 |
| ὁ | 12 | w | 3286 |
| μόνον | 4 | w | 3291 |
| ὑπ | 15 | w | 3293 |
| ἀρτίου | 9 | w | 3300 |
| περισσάκις | 5 | w | 3310 |
| ἀρτιοπέρισσος | 3 | w | 3323 |
| ὁ | 13 | w | 3325 |
| δ | 71 | w | 3326 |
| οὐδέποτε | 1 | w | 3335 |
| μόνον | 5 | w | 3340 |
| θάτερον | 2 | w | 3347 |
| ἀλλ | 6 | w | 3350 |
| ἀμφότερα | 1 | w | 3359 |
| ἐξ | 5 | w | 3361 |
| ἀνάγκης | 1 | w | 3368 |
| ἀεὶ | 1 | w | 3371 |
| ἔχων | 2 | w | 3375 |
| ὅπερ | 1 | w | 3379 |
| οὐδέτερος | 1 | w | 3388 |
| ἐκείνων | 1 | w | 3395 |
| περισσάρτιος | 2 | w | 3408 |
| ἀ | 76 | w | 3410 |
| μφότεροι | 1 | w | 3419 |
| δὲ | 18 | w | 3421 |
| ἅμα | 4 | w | 3424 |
| κρᾶμα | 2 | w | 3429 |
| εὐλόγως | 1 | w | 3436 |
| ἀμφοτέρων | 2 | w | 3445 |
| τῇ | 4 | w | 3447 |
| τοῦ | 24 | w | 3450 |
| λοιποῦ | 1 | w | 3456 |
| μετοχῇ | 1 | w | 3462 |
| τοῦ | 25 | w | 3465 |
| ἑτέρου | 2 | w | 3471 |
| ἀφιστάμενοι | 1 | w | 3482 |
| Τοῦ | 1 | w | 3486 |
| δὲ | 19 | w | 3488 |
| περισσοῦ | 3 | w | 3496 |
| ἀριθμοῦ | 3 | w | 3503 |
| πάλιν | 3 | w | 3508 |
| καθ | 3 | w | 3511 |
| ὑποδιαίρεσιν | 1 | w | 3524 |
| τὸ | 27 | w | 3526 |
| μέν | 7 | w | 3529 |
| ἐστι | 5 | w | 3533 |
| πρῶ | 2 | w | 3536 |
| τον | 5 | w | 3539 |