| Refs | {'start': {'reference': '126', 'human_reference': 'Page 126'}, 'end': {'reference': '130', 'human_reference': 'Page 130'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| καμπτῆρος | 1 | w | 9 |
| ὁμοίως | 1 | w | 15 |
| ἐπὶ | 1 | w | 18 |
| τὴν | 1 | w | 21 |
| ἑκατοντάδα | 1 | w | 31 |
| ἐπανέλθοιμεν | 1 | w | 43 |
| ὡς | 1 | w | 45 |
| ἐπὶ | 2 | w | 48 |
| νύσσαν | 1 | w | 54 |
| ἔσται | 1 | w | 60 |
| ἀριθμὸς | 1 | w | 67 |
| ὁ | 2 | w | 68 |
| τῶν | 1 | w | 71 |
| μυρίων | 1 | w | 77 |
| ἡ | 1 | w | 78 |
| πεντωδουμένη | 1 | w | 90 |
| μονάς | 1 | w | 95 |
| πλευρὰν | 1 | w | 103 |
| ἔχων | 1 | w | 107 |
| ὡς | 2 | w | 109 |
| μὲν | 1 | w | 112 |
| τετράγωνος | 1 | w | 122 |
| τὴν | 2 | w | 125 |
| ἑκατοντάδα | 2 | w | 135 |
| ὡς | 3 | w | 137 |
| δὲ | 1 | w | 139 |
| προμήκης | 1 | w | 147 |
| τὴν | 3 | w | 150 |
| χιλιάδα | 1 | w | 157 |
| μετὰ | 1 | w | 161 |
| τῆς | 1 | w | 164 |
| αὐτῆς | 1 | w | 169 |
| δεκάδος | 1 | w | 176 |
| οὕτως | 1 | w | 182 |
| ἡ | 2 | w | 183 |
| δεκὰς | 1 | w | 188 |
| εἰς | 1 | w | 191 |
| μὲν | 2 | w | 194 |
| τὸ | 1 | w | 196 |
| αὐτὴ | 1 | w | 200 |
| τὴν | 4 | w | 203 |
| πλευρικὴν | 1 | w | 212 |
| γενέσθαι | 1 | w | 220 |
| κατὰ | 1 | w | 224 |
| τὸν | 1 | w | 227 |
| διαυλικὸν | 1 | w | 236 |
| τρόπον | 1 | w | 242 |
| οὐδενὸς | 1 | w | 249 |
| τῶν | 2 | w | 252 |
| ἄλλων | 1 | w | 257 |
| γενέσεων | 1 | w | 265 |
| ἄρθρων | 1 | w | 271 |
| τοῦ | 1 | w | 274 |
| ἀριθμοῦ | 1 | w | 281 |
| δεήσεται | 1 | w | 289 |
| ἑκατοντάδος | 1 | w | 301 |
| λέγω | 1 | w | 305 |
| καὶ | 1 | w | 308 |
| χιλιάδος | 1 | w | 316 |
| αὗται | 1 | w | 322 |
| δὲ | 2 | w | 324 |
| ἵνα | 1 | w | 327 |
| αὐταῖς | 1 | w | 333 |
| τὸ | 3 | w | 335 |
| τοιοῦτο | 1 | w | 342 |
| συμβῇ | 1 | w | 347 |
| πάντως | 1 | w | 353 |
| δεήσονται | 1 | w | 362 |
| τῆς | 3 | w | 365 |
| δεκάδος | 2 | w | 372 |
| ὅθεν | 1 | w | 377 |
| αὐτῇ | 1 | w | 381 |
| ἐγκώμιον | 1 | w | 389 |
| τοῦτο | 1 | w | 394 |
| προσενείμαμεν | 1 | w | 407 |
| λοιπὸν | 1 | w | 414 |
| δὲ | 3 | w | 416 |
| εἰπεῖν | 1 | w | 422 |
| καὶ | 2 | w | 425 |
| ὅσα | 1 | w | 428 |
| ἄλλα | 1 | w | 432 |
| συμπτώματα | 1 | w | 442 |
| δύναται | 1 | w | 449 |
| ἐπινοεῖσθαι | 1 | w | 460 |
| ὑπὸ | 1 | w | 463 |
| τῶν | 3 | w | 466 |
| κατὰ | 2 | w | 470 |
| τὸ | 4 | w | 472 |
| φιλοθέωρον | 1 | w | 482 |
| συντεινόντων | 1 | w | 494 |
| ἑαυτοὺς | 1 | w | 501 |
| ἐπὶ | 3 | w | 504 |
| τὴν | 5 | w | 507 |
| ἀνεύρεσιν | 1 | w | 516 |
| τῶν | 4 | w | 519 |
| συμβεβηκότων | 1 | w | 531 |
| τοῖς | 1 | w | 535 |
| ἀριθμοῖς | 1 | w | 543 |
| οἷον | 1 | w | 548 |
| ὅτι | 1 | w | 551 |
| πᾶς | 1 | w | 554 |
| τετράγωνος | 2 | w | 564 |
| ἤτοι | 1 | w | 568 |
| αὐτόθεν | 1 | w | 575 |
| τρίτον | 1 | w | 581 |
| ἔχει | 1 | w | 585 |
| ἢ | 1 | w | 587 |
| εἰ | 3 | w | 589 |
| μὴ | 1 | w | 591 |
| ἔχει | 2 | w | 595 |
| πάντως | 2 | w | 601 |
| γε | 3 | w | 603 |
| τέταρτον | 1 | w | 611 |
| ἢ | 2 | w | 613 |
| εἰ | 4 | w | 615 |
| μηδὲ | 1 | w | 619 |
| τοῦτο | 2 | w | 624 |
| μονάδος | 1 | w | 631 |
| ἀφαιρεθείσης | 1 | w | 643 |
| ἐκ | 1 | w | 645 |
| μὲν | 3 | w | 648 |
| τρίτον | 2 | w | 654 |
| ἔχοντος | 1 | w | 661 |
| τέταρτον | 2 | w | 669 |
| ἔχοντα | 1 | w | 675 |
| ἀποτελέσεις | 1 | w | 686 |
| ἐκ | 2 | w | 689 |
| δὲ | 5 | w | 691 |
| τέταρτον | 3 | w | 699 |
| ἔχοντος | 2 | w | 706 |
| τρίτον | 3 | w | 712 |
| ἔχοντα | 2 | w | 718 |
| εἰ | 5 | w | 721 |
| δὲ | 6 | w | 723 |
| μηδ | 2 | w | 726 |
| ἕτερον | 1 | w | 733 |
| ἀμφότερα | 1 | w | 742 |
| εἰ | 6 | w | 745 |
| δὲ | 7 | w | 747 |
| ἔχοι | 1 | w | 751 |
| ἀμφότερα | 2 | w | 759 |
| ἔστιν | 1 | w | 765 |
| ὅτε | 1 | w | 768 |
| ἡ | 3 | w | 769 |
| ἀφαίρεσις | 1 | w | 778 |
| τῆς | 4 | w | 781 |
| μονάδος | 2 | w | 788 |
| ἀμφοτέρων | 1 | w | 797 |
| στερίσκει | 1 | w | 806 |
| καὶ | 3 | w | 810 |
| ἅπας | 1 | w | 814 |
| ἀριθμὸς | 2 | w | 821 |
| τὸν | 2 | w | 824 |
| δυάδι | 1 | w | 829 |
| διαφέροντα | 1 | w | 839 |
| ἐφ | 1 | w | 841 |
| ἑκάτερα | 1 | w | 849 |
| ὁποτερονοῦν | 1 | w | 860 |
| ὁμογενῆ | 1 | w | 867 |
| πολλαπλασιάσας | 1 | w | 881 |
| καὶ | 4 | w | 884 |
| προσλαβὼν | 1 | w | 893 |
| μονάδα | 1 | w | 899 |
| τετράγωνον | 1 | w | 909 |
| ποιεῖ | 1 | w | 914 |
| περισσοὶ | 1 | w | 923 |
| μὲν | 4 | w | 926 |
| ἀρτίους | 1 | w | 933 |
| ποιοῦσιν | 1 | w | 941 |
| ἄρτιοι | 1 | w | 948 |
| δὲ | 8 | w | 950 |
| περισσούς | 1 | w | 959 |
| καὶ | 5 | w | 963 |
| ἅπας | 2 | w | 967 |
| ἀριθμὸς | 3 | w | 974 |
| τὸν | 3 | w | 977 |
| ἑαυτοῦ | 1 | w | 983 |
| πολλαπλάσιον | 1 | w | 995 |
| μηκύνας | 1 | w | 1002 |
| τοσουτοπλάσιον | 1 | w | 1016 |
| τοῦ | 5 | w | 1019 |
| ἐξ | 1 | w | 1021 |
| αὐτοῦ | 1 | w | 1026 |
| τετραγώνου | 1 | w | 1036 |
| ποιήσει | 1 | w | 1043 |
| κἂν | 1 | w | 1047 |
| ἐπιμόριον | 1 | w | 1056 |
| κἂν | 2 | w | 1059 |
| ἐπιμερῆ | 1 | w | 1066 |
| κἂν | 3 | w | 1069 |
| μικτὸν | 1 | w | 1075 |
| λαμβάνῃ | 1 | w | 1082 |
| ὁμοίως | 2 | w | 1089 |
| καὶ | 6 | w | 1092 |
| πᾶς | 2 | w | 1095 |
| τρίγωνος | 1 | w | 1103 |
| ὀκτάκι | 1 | w | 1109 |
| γενόμενος | 1 | w | 1118 |
| καὶ | 7 | w | 1121 |
| προσλαβὼν | 2 | w | 1130 |
| μονάδα | 2 | w | 1136 |
| τετράγωνον | 2 | w | 1146 |
| ποιεῖ | 2 | w | 1151 |
| καὶ | 8 | w | 1155 |
| ἐκ | 3 | w | 1157 |
| δύο | 1 | w | 1160 |
| τετραγώνων | 1 | w | 1170 |
| ἐπ | 8 | w | 1172 |
| ἀλλήλους | 1 | w | 1181 |
| γενομένων | 1 | w | 1190 |
| ὁ | 6 | w | 1191 |
| γενόμενος | 2 | w | 1200 |
| τετράγωνος | 3 | w | 1210 |
| καὶ | 9 | w | 1214 |
| ἐκ | 4 | w | 1216 |
| τῶν | 5 | w | 1219 |
| ἀπὸ | 1 | w | 1222 |
| μονάδος | 3 | w | 1229 |
| ἀνάλογον | 1 | w | 1237 |
| ἐὰν | 1 | w | 1240 |
| ὁ | 7 | w | 1241 |
| τῇ | 2 | w | 1243 |
| μονάδι | 1 | w | 1249 |
| ἑξῆς | 1 | w | 1253 |
| τετράγωνος | 4 | w | 1263 |
| ᾖ | 1 | w | 1264 |
| καὶ | 10 | w | 1267 |
| οἱ | 1 | w | 1269 |
| λοιποὶ | 1 | w | 1275 |
| τετράγωνοι | 1 | w | 1285 |
| ἔσονται | 1 | w | 1292 |
| καὶ | 11 | w | 1296 |
| τριῶν | 1 | w | 1301 |
| τινων | 1 | w | 1306 |
| ἀνάλογον | 2 | w | 1314 |
| ὄντων | 1 | w | 1319 |
| ἐὰν | 2 | w | 1322 |
| ὁ | 8 | w | 1323 |
| πρῶτος | 1 | w | 1329 |
| τετράγωνος | 5 | w | 1339 |
| ᾖ | 2 | w | 1340 |
| καὶ | 12 | w | 1343 |
| ὁ | 9 | w | 1344 |
| τρίτος | 1 | w | 1350 |
| ἔσται | 2 | w | 1355 |
| τετράγωνος | 6 | w | 1365 |
| καὶ | 13 | w | 1369 |
| μετροῦντος | 1 | w | 1379 |
| τετράγωνον | 3 | w | 1389 |
| τετραγώνου | 2 | w | 1399 |
| καὶ | 14 | w | 1402 |
| πλευρὰ | 2 | w | 1408 |
| πλευρὰν | 2 | w | 1415 |
| μετρήσει | 1 | w | 1423 |
| καὶ | 15 | w | 1427 |
| πᾶς | 3 | w | 1430 |
| ἐκ | 5 | w | 1432 |
| δύο | 2 | w | 1435 |
| πλευρῶν | 1 | w | 1442 |
| συνεχῶν | 1 | w | 1449 |
| τετραγώνων | 2 | w | 1459 |
| μηκυνθεὶς | 1 | w | 1468 |
| ἀνάλογον | 3 | w | 1476 |
| αὐτῶν | 1 | w | 1481 |
| μέσος | 1 | w | 1486 |
| ἔσται | 3 | w | 1491 |
| καὶ | 16 | w | 1495 |
| πολλὰ | 1 | w | 1500 |
| ἄλλα | 2 | w | 1504 |
| τοιαῦτα | 1 | w | 1511 |
| δι | 5 | w | 1513 |
| ἑαυτῶν | 1 | w | 1520 |
| τε | 24 | w | 1522 |
| προθυμηθέντες | 1 | w | 1535 |
| εὑρήσομεν | 1 | w | 1544 |
| καὶ | 17 | w | 1547 |
| ὑπ | 2 | w | 1549 |
| ἄλλων | 2 | w | 1555 |
| ἐκπεπονημένα | 1 | w | 1567 |
| ἱστορῆσαι | 1 | w | 1576 |
| δυνησόμεθα | 1 | w | 1586 |
| τὰ | 4 | w | 1589 |
| νῦν | 1 | w | 1592 |
| δὲ | 9 | w | 1594 |
| μετιτέον | 1 | w | 1602 |
| ἐπὶ | 4 | w | 1605 |
| τὸν | 5 | w | 1608 |
| πλευρικόν | 1 | w | 1617 |
| τε | 26 | w | 1619 |
| καὶ | 18 | w | 1622 |
| διαμετρικὸν | 1 | w | 1633 |
| λόγον | 1 | w | 1638 |
| ἱκανωτάτης | 1 | w | 1648 |
| ἐξετάσεως | 1 | w | 1657 |
| ἐν | 1 | w | 1659 |
| γεωμετρίᾳ | 1 | w | 1668 |
| τετυχηκότα | 1 | w | 1678 |
| διότι | 1 | w | 1684 |
| δοκεῖ | 1 | w | 1689 |
| κατ | 6 | w | 1692 |
| αὐτόν | 1 | w | 1698 |
| πως | 1 | w | 1701 |
| ῥυθμίζεσθαι | 1 | w | 1712 |
| καὶ | 19 | w | 1715 |
| εἰδοποιεῖσθαι | 1 | w | 1728 |
| τὰ | 5 | w | 1730 |
| σχήματα | 1 | w | 1737 |
| ὡς | 4 | w | 1740 |
| οὖν | 1 | w | 1743 |
| καὶ | 20 | w | 1746 |
| ἐπ | 10 | w | 1748 |
| αὐτῶν | 2 | w | 1754 |
| τῶν | 9 | w | 1757 |
| σχημάτων | 1 | w | 1765 |
| ἐποιοῦμεν | 1 | w | 1774 |
| μετάγοντες | 1 | w | 1784 |
| αὐτῶν | 3 | w | 1789 |
| τοὺς | 2 | w | 1793 |
| λόγους | 1 | w | 1799 |
| καθ | 1 | w | 1802 |
| ὁμοιότητα | 1 | w | 1812 |
| καὶ | 21 | w | 1815 |
| ἐπὶ | 5 | w | 1818 |
| τοὺς | 3 | w | 1822 |
| ἀριθμούς | 1 | w | 1830 |
| ῥητὰ | 1 | w | 1835 |
| γὰρ | 1 | w | 1838 |
| κἀκεῖνα | 1 | w | 1845 |
| γίνεται | 1 | w | 1852 |
| τοῖς | 2 | w | 1856 |
| ἀριθμοῖς | 2 | w | 1864 |
| οὕτως | 2 | w | 1870 |
| χρὴ | 1 | w | 1873 |
| καὶ | 22 | w | 1876 |
| περὶ | 1 | w | 1880 |
| πλευρᾶς | 1 | w | 1887 |
| καὶ | 23 | w | 1890 |
| διαμέτρου | 1 | w | 1899 |
| διαλεγομένους | 1 | w | 1912 |
| καὶ | 24 | w | 1915 |
| ἀκολουθοῦντας | 1 | w | 1928 |
| τῇ | 3 | w | 1930 |
| τοῦ | 7 | w | 1933 |
| ἀριθμοῦ | 2 | w | 1940 |
| φύσει | 1 | w | 1945 |
| ἀποσῴζειν | 1 | w | 1954 |
| ὡς | 5 | w | 1956 |
| ἐνδέχεται | 1 | w | 1965 |
| τὴν | 6 | w | 1968 |
| ὁμοιότητα | 2 | w | 1977 |
| οὐ | 2 | w | 1980 |
| γὰρ | 2 | w | 1983 |
| ὥσπερ | 1 | w | 1988 |
| ἐν | 3 | w | 1990 |
| πηλίκοις | 1 | w | 1998 |
| πλευρᾶς | 2 | w | 2005 |
| λογωθείσης | 1 | w | 2015 |
| ἡ | 4 | w | 2016 |
| διάμετρος | 1 | w | 2025 |
| ἄλογος | 1 | w | 2031 |
| ἢ | 3 | w | 2032 |
| ἀνάπαλιν | 1 | w | 2040 |
| διαμέτρου | 2 | w | 2049 |
| λογωθείσης | 2 | w | 2059 |
| πλευρὰ | 4 | w | 2065 |
| ἄλογος | 2 | w | 2071 |
| οὕτω | 3 | w | 2076 |
| καὶ | 25 | w | 2079 |
| ἐν | 4 | w | 2081 |
| ποσοῖς | 1 | w | 2087 |
| ἀλλ | 2 | w | 2091 |
| ἔσται | 4 | w | 2097 |
| ῥητὴ | 1 | w | 2101 |
| πλευρὰ | 5 | w | 2107 |
| διαμέτρῳ | 1 | w | 2115 |
| ἵνα | 2 | w | 2119 |
| πάντῃ | 1 | w | 2124 |
| ῥητὸς | 1 | w | 2129 |
| ᾖ | 3 | w | 2130 |
| ὁ | 12 | w | 2131 |
| ἀριθμὸς | 4 | w | 2138 |
| καὶ | 26 | w | 2141 |
| τοῦτ | 3 | w | 2145 |
| ἐξαίρετον | 1 | w | 2155 |
| ἔχῃ | 1 | w | 2158 |
| ὡς | 6 | w | 2161 |
| ἂν | 4 | w | 2163 |
| ἀρχικώτατος | 1 | w | 2174 |
| ὢν | 1 | w | 2176 |
| καὶ | 27 | w | 2179 |
| τοῖς | 3 | w | 2183 |
| ἄλλοις | 1 | w | 2189 |
| ἅπασιν | 1 | w | 2195 |
| αἴτιος | 1 | w | 2201 |
| γενόμενος | 3 | w | 2210 |
| ῥητότητος | 1 | w | 2219 |
| κοινὸν | 1 | w | 2226 |
| μὲν | 5 | w | 2229 |
| γὰρ | 3 | w | 2232 |
| ἀριθμοῖς | 3 | w | 2240 |
| καὶ | 28 | w | 2243 |
| μεγέθεσιν | 1 | w | 2252 |
| ὡς | 7 | w | 2254 |
| ἂν | 5 | w | 2256 |
| ἀσωμάτοις | 1 | w | 2265 |
| οὖσι | 1 | w | 2269 |
| τὸ | 10 | w | 2271 |
| ἀκίνητα | 1 | w | 2278 |
| εἶναι | 1 | w | 2283 |
| ἴδιον | 1 | w | 2289 |
| δὲ | 10 | w | 2291 |
| ἀριθμοῦ | 3 | w | 2298 |
| τὸ | 11 | w | 2300 |
| μηδὲ | 2 | w | 2304 |
| ἀσυμμετρίαν | 1 | w | 2315 |
| ἔχειν | 1 | w | 2320 |
| τῶν | 11 | w | 2324 |
| μεγεθῶν | 1 | w | 2331 |
| ἐχόντων | 1 | w | 2338 |
| δεῖ | 1 | w | 2342 |
| δὴ | 1 | w | 2344 |
| πάλιν | 1 | w | 2349 |
| ἀπὸ | 2 | w | 2352 |
| μονάδος | 4 | w | 2359 |
| τὴν | 7 | w | 2362 |
| γένεσιν | 1 | w | 2369 |
| τοῦ | 9 | w | 2372 |
| πλευρικοῦ | 1 | w | 2381 |
| καὶ | 29 | w | 2384 |
| διαμετρικοῦ | 1 | w | 2395 |
| λόγου | 2 | w | 2400 |
| μεθοδεῦσαι | 1 | w | 2410 |
| ἐπειδὴ | 1 | w | 2417 |
| πάντων | 1 | w | 2423 |
| τῶν | 12 | w | 2426 |
| ἐν | 5 | w | 2428 |
| ἀριθμοῖς | 4 | w | 2436 |
| λόγων | 1 | w | 2441 |
| ἔφαμεν | 1 | w | 2447 |
| αὐτὴν | 1 | w | 2452 |
| ἀφηγεῖσθαι | 1 | w | 2462 |
| ὀνομάσαι | 1 | w | 2471 |
| γὰρ | 4 | w | 2474 |
| δεῖ | 2 | w | 2477 |
| δύο | 3 | w | 2480 |
| μονάδας | 1 | w | 2487 |
| τὴν | 9 | w | 2490 |
| μὲν | 6 | w | 2493 |
| πλευρὰν | 3 | w | 2500 |
| τὴν | 10 | w | 2503 |
| δὲ | 12 | w | 2505 |
| διάμετρον | 1 | w | 2514 |
| καὶ | 30 | w | 2518 |
| χρήσασθαι | 1 | w | 2527 |
| καθολικαῖς | 1 | w | 2537 |
| τισι | 1 | w | 2541 |
| προσθέσεσι | 1 | w | 2551 |
| καὶ | 31 | w | 2554 |
| ἀεὶ | 1 | w | 2557 |
| ταῖς | 2 | w | 2561 |
| αὐταῖς | 2 | w | 2567 |
| τῇ | 4 | w | 2570 |
| μὲν | 7 | w | 2573 |
| πλευρᾷ | 1 | w | 2579 |
| διάμετρον | 2 | w | 2588 |
| προστιθέντας | 1 | w | 2600 |
| τῇ | 5 | w | 2602 |
| δὲ | 13 | w | 2604 |
| διαμέτρῳ | 2 | w | 2612 |
| δύο | 4 | w | 2615 |
| πλευράς | 1 | w | 2622 |
| ἐπειδὴ | 2 | w | 2629 |
| ὅσον | 1 | w | 2633 |
| ἡ | 5 | w | 2634 |
| πλευρὰ | 7 | w | 2640 |
| δὶς | 1 | w | 2644 |
| δύναται | 2 | w | 2652 |
| ἐν | 6 | w | 2654 |
| γραμμικοῖς | 1 | w | 2664 |
| ἡ | 6 | w | 2666 |
| διάμετρος | 2 | w | 2675 |
| ἅπαξ | 1 | w | 2679 |
| γίνεται | 2 | w | 2687 |
| οὖν | 2 | w | 2690 |
| ἡ | 7 | w | 2691 |
| διάμετρος | 3 | w | 2700 |
| μονάδι | 2 | w | 2706 |
| μείζων | 1 | w | 2712 |
| τῆς | 5 | w | 2715 |
| πλευρᾶς | 3 | w | 2722 |
| ἡ | 8 | w | 2724 |
| δ | 74 | w | 2725 |
| ἐξ | 4 | w | 2728 |
| ἀρχῆς | 1 | w | 2733 |
| ἄνευ | 1 | w | 2737 |
| τῆς | 6 | w | 2740 |
| προσθήκης | 1 | w | 2749 |
| τὸ | 12 | w | 2751 |
| ἀπὸ | 3 | w | 2754 |
| τῆς | 7 | w | 2757 |
| μοναδικῆς | 1 | w | 2766 |
| διαμέτρου | 3 | w | 2775 |
| δυνάμει | 1 | w | 2782 |
| τετράγωνον | 4 | w | 2792 |
| μονάδι | 3 | w | 2798 |
| ἔλαττον | 1 | w | 2805 |
| ἢ | 4 | w | 2806 |
| διπλάσιον | 1 | w | 2815 |
| τοῦ | 10 | w | 2818 |
| ἀπὸ | 4 | w | 2821 |
| τῆς | 8 | w | 2824 |
| μοναδικῆς | 2 | w | 2833 |
| πλευρᾶς | 4 | w | 2840 |
| δυνάμει | 2 | w | 2847 |
| τετραγώνου | 3 | w | 2857 |
| ἐν | 7 | w | 2860 |
| ἰσότητι | 1 | w | 2867 |
| γὰρ | 5 | w | 2870 |
| οὖσαι | 1 | w | 2875 |
| αἱ | 1 | w | 2877 |
| μονάδες | 1 | w | 2884 |
| τὴν | 11 | w | 2887 |
| ἑτέραν | 1 | w | 2893 |
| τῆς | 9 | w | 2896 |
| λοιπῆς | 1 | w | 2902 |
| μονάδι | 4 | w | 2908 |
| ἐλάττονα | 1 | w | 2916 |
| ποιοῦσιν | 2 | w | 2924 |
| ἢ | 5 | w | 2925 |
| διπλασίαν | 1 | w | 2934 |
| τῆς | 10 | w | 2938 |
| δὲ | 14 | w | 2940 |
| προσθήκης | 2 | w | 2949 |
| γενομένης | 1 | w | 2958 |
| ὡς | 8 | w | 2960 |
| εἴρηται | 1 | w | 2967 |
| ἔσται | 5 | w | 2973 |
| τὸ | 13 | w | 2975 |
| ἀπὸ | 5 | w | 2978 |
| τῆς | 11 | w | 2981 |
| διαμέτρου | 4 | w | 2990 |
| τετράγωνον | 5 | w | 3000 |
| τοῦ | 11 | w | 3003 |
| ἀπὸ | 6 | w | 3006 |
| τῆς | 12 | w | 3009 |
| πλευρᾶς | 5 | w | 3016 |
| μονάδι | 5 | w | 3022 |
| μεῖζον | 1 | w | 3028 |
| ἢ | 6 | w | 3029 |
| διπλάσιον | 2 | w | 3038 |
| θʹ | 1 | w | 3041 |
| γὰρ | 6 | w | 3044 |
| καὶ | 32 | w | 3047 |
| δʹ | 1 | w | 3049 |
| πάλιν | 2 | w | 3055 |
| ἐὰν | 3 | w | 3058 |
| προσθῶμεν | 1 | w | 3067 |
| τῇ | 6 | w | 3069 |
| μὲν | 8 | w | 3072 |
| πλευρᾷ | 2 | w | 3078 |
| διάμετρον | 3 | w | 3087 |
| τῇ | 7 | w | 3089 |
| δὲ | 15 | w | 3091 |
| διαμέτρῳ | 3 | w | 3099 |
| δύο | 5 | w | 3102 |
| πλευράς | 2 | w | 3109 |
| ἔσται | 6 | w | 3115 |
| ζʹ | 1 | w | 3117 |
| καὶ | 33 | w | 3120 |
| εʹ | 1 | w | 3122 |
| καὶ | 34 | w | 3126 |
| γίνεται | 3 | w | 3133 |
| τὸ | 14 | w | 3135 |
| ἀπὸ | 7 | w | 3138 |
| τῆς | 13 | w | 3141 |
| διαμέτρου | 5 | w | 3150 |
| μονάδι | 6 | w | 3156 |
| ἔλαττον | 2 | w | 3163 |
| ἢ | 7 | w | 3164 |
| διπλάσιον | 3 | w | 3173 |
| τοῦ | 12 | w | 3176 |
| ἀπὸ | 8 | w | 3179 |
| τῆς | 14 | w | 3182 |
| πλευρᾶς | 6 | w | 3189 |
| ἔστι | 2 | w | 3194 |
| γὰρ | 7 | w | 3197 |
| μθʹ | 1 | w | 3200 |
| πρὸς | 1 | w | 3204 |
| κεʹ | 1 | w | 3207 |
| πάλιν | 3 | w | 3213 |
| εἰ | 8 | w | 3215 |
| ἡ | 9 | w | 3216 |
| αὐτὴ | 3 | w | 3220 |
| προσθήκη | 3 | w | 3228 |
| γίγνοιτο | 1 | w | 3236 |
| ἔσται | 7 | w | 3242 |
| τὸ | 15 | w | 3244 |
| ἀπὸ | 9 | w | 3247 |
| τῆς | 15 | w | 3250 |
| διαμέτρου | 6 | w | 3259 |
| μονάδι | 7 | w | 3265 |
| μεῖζον | 2 | w | 3271 |
| ἢ | 8 | w | 3272 |
| διπλάσιον | 4 | w | 3281 |
| τοῦ | 13 | w | 3284 |
| ἀπὸ | 10 | w | 3287 |
| τῆς | 16 | w | 3290 |
| πλευρᾶς | 7 | w | 3297 |
| ἔστι | 3 | w | 3302 |
| γὰρ | 8 | w | 3305 |
| σπθʹ | 1 | w | 3309 |
| πρὸς | 2 | w | 3313 |
| ρμδʹ | 1 | w | 3317 |
| καὶ | 35 | w | 3321 |
| δὴ | 4 | w | 3323 |
| ὁμοίως | 3 | w | 3329 |
| κατὰ | 3 | w | 3333 |
| τὸν | 6 | w | 3336 |
| αὐτὸν | 1 | w | 3341 |
| λόγον | 2 | w | 3346 |
| τῆς | 17 | w | 3349 |
| προσθήκης | 3 | w | 3358 |
| γιγνομένης | 1 | w | 3368 |
| ποτὲ | 1 | w | 3372 |
| μὲν | 9 | w | 3375 |
| μονάδι | 8 | w | 3381 |
| μεῖζον | 3 | w | 3387 |
| ἢ | 9 | w | 3388 |
| διπλάσιον | 5 | w | 3397 |
| ἔσται | 8 | w | 3402 |
| τὸ | 18 | w | 3404 |
| ἀπό | 1 | w | 3407 |
| τοῦ | 14 | w | 3410 |
| ἀπό | 2 | w | 3413 |
| ποτὲ | 2 | w | 3418 |
| δὲ | 16 | w | 3420 |
| μονάδι | 9 | w | 3426 |
| ἔλαττον | 3 | w | 3433 |
| καὶ | 36 | w | 3437 |
| οὕτως | 3 | w | 3442 |
| ῥηταὶ | 1 | w | 3447 |
| γίνονται | 1 | w | 3455 |
| πρὸς | 3 | w | 3459 |
| ἀλλήλας | 1 | w | 3466 |
| πλευραί | 1 | w | 3473 |
| τε | 32 | w | 3475 |
| καὶ | 37 | w | 3478 |
| διάμετροι | 1 | w | 3487 |
| ἀλλ | 4 | w | 3491 |
| οὖν | 3 | w | 3495 |
| ἐπειδὴ | 3 | w | 3501 |
| ἐναλλὰξ | 1 | w | 3508 |
| ποτὲ | 3 | w | 3512 |
| μὲν | 10 | w | 3515 |
| δυνάμει | 3 | w | 3522 |
| μείζους | 1 | w | 3529 |
| εἰσὶν | 1 | w | 3534 |
| ἢ | 10 | w | 3535 |
| διάμετροι | 2 | w | 3544 |
| διπλάσιαι | 1 | w | 3553 |
| πλευρῶν | 2 | w | 3560 |
| ποτὲ | 4 | w | 3565 |
| δὲ | 17 | w | 3567 |
| μονάδι | 10 | w | 3573 |
| ἐλάττους | 1 | w | 3581 |
| ἢ | 11 | w | 3582 |
| διπλάσιαι | 2 | w | 3591 |
| ἔσονται | 2 | w | 3599 |
| κατ | 8 | w | 3602 |
| ἐπίνοιαν | 1 | w | 3611 |
| πᾶσαι | 1 | w | 3616 |
| ὁμοῦ | 1 | w | 3620 |
| αἱ | 2 | w | 3622 |
| διάμετροι | 3 | w | 3631 |
| πασῶν | 1 | w | 3636 |
| ὁμοῦ | 2 | w | 3640 |
| τῶν | 13 | w | 3643 |
| πλευρῶν | 3 | w | 3650 |
| δυνάμει | 4 | w | 3657 |
| διπλάσιαι | 3 | w | 3666 |
| ἀπίσωσις | 1 | w | 3675 |
| γὰρ | 9 | w | 3678 |
| γίνεται | 4 | w | 3685 |
| τοῦ | 15 | w | 3688 |
| μείζονος | 1 | w | 3696 |
| τῷ | 1 | w | 3698 |
| ἐλάττονι | 1 | w | 3706 |
| ἀναμιγέντος | 1 | w | 3717 |
| διότι | 2 | w | 3723 |
| στάσις | 1 | w | 3729 |
| τοῦ | 16 | w | 3732 |
| ὑπερέχοντος | 1 | w | 3743 |
| πρὸς | 4 | w | 3747 |
| ὑπερεχόμενον | 1 | w | 3759 |
| ἡ | 10 | w | 3760 |
| ἰσότης | 1 | w | 3766 |
| ἐστί | 1 | w | 3770 |
| διόπερ | 1 | w | 3777 |
| κἀνταῦθα | 1 | w | 3785 |
| τὸ | 19 | w | 3787 |
| μονάδι | 11 | w | 3793 |
| μεῖζον | 4 | w | 3799 |
| ἢ | 12 | w | 3800 |
| διπλάσιον | 6 | w | 3809 |
| προστεθὲν | 1 | w | 3818 |
| τῷ | 2 | w | 3820 |
| μονάδι | 12 | w | 3826 |
| ἐλάττονι | 2 | w | 3834 |
| ἢ | 13 | w | 3835 |
| διπλασίῳ | 1 | w | 3843 |
| ἀπισώσει | 1 | w | 3851 |
| τὸ | 20 | w | 3853 |
| πᾶν | 1 | w | 3856 |
| ὥστε | 1 | w | 3861 |
| ἀεὶ | 2 | w | 3864 |
| τὴν | 12 | w | 3867 |
| διάμετρον | 4 | w | 3876 |
| δυνάμει | 5 | w | 3883 |
| διπλασίαν | 2 | w | 3892 |
| εἶναι | 2 | w | 3897 |
| τῆς | 18 | w | 3900 |
| πλευρᾶς | 8 | w | 3907 |
| καθάπερ | 1 | w | 3915 |
| καὶ | 38 | w | 3918 |
| ἐπὶ | 6 | w | 3921 |
| τῶν | 14 | w | 3924 |
| γραμμικῶν | 1 | w | 3933 |
| δείκνυται | 1 | w | 3942 |
| καὶ | 39 | w | 3946 |
| τοσαῦτα | 1 | w | 3953 |
| μὲν | 11 | w | 3956 |
| ἡμῖν | 1 | w | 3960 |
| περὶ | 2 | w | 3964 |
| τῶν | 15 | w | 3967 |
| τοῖς | 4 | w | 3971 |
| ἐπιπέδοις | 1 | w | 3980 |
| ἀριθμοῖς | 5 | w | 3988 |
| συμβεβηκότων | 2 | w | 4000 |
| εἰρήσθω | 1 | w | 4007 |