| Refs | {'start': {'reference': '51', 'human_reference': 'Paragraph 51'}, 'end': {'reference': '55', 'human_reference': 'Paragraph 55'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| Ἄλλως | 1 | w | 5 |
| εὑρεῖν | 1 | w | 12 |
| πρῶτον | 1 | w | 18 |
| τὴν | 1 | w | 21 |
| κάθετον | 1 | w | 28 |
| τὰ | 1 | w | 31 |
| λ | 3 | w | 32 |
| ἐφʼ | 1 | w | 35 |
| c | 1 | w | 36 |
| ἑαυτά | 1 | w | 41 |
| γίνονται | 1 | w | 50 |
| τούτων | 1 | w | 59 |
| ἆρον | 1 | w | 63 |
| τὸ | 1 | w | 65 |
| δʹ | 1 | w | 67 |
| γίνονται | 2 | w | 76 |
| σκε | 1 | w | 79 |
| 20a | 1 | w | 83 |
| b | 1 | w | 85 |
| c | 2 | w | 87 |
| d | 1 | w | 89 |
| Geom | 1 | w | 94 |
| 17 | 1 | w | 97 |
| 1 | 2 | w | 99 |
| 3 | 1 | w | 101 |
| 4 | 1 | w | 103 |
| 5 | 1 | w | 105 |
| 5 | 2 | w | 107 |
| καὶ | 1 | w | 110 |
| addidi | 1 | w | 116 |
| item | 1 | w | 121 |
| infra | 1 | w | 126 |
| lin | 1 | w | 129 |
| 18 | 1 | w | 132 |
| et | 1 | w | 134 |
| 19 | 1 | w | 136 |
| 10 | 1 | w | 140 |
| η | 1 | w | 141 |
| ζA | 1 | w | 144 |
| 17 | 2 | w | 147 |
| τρίτον | 1 | w | 153 |
| τρίγωνον | 1 | w | 162 |
| A | 2 | w | 163 |
| λοιπὸν | 1 | w | 170 |
| χοε | 1 | w | 173 |
| ὧν | 1 | w | 176 |
| πλευρὰ | 1 | w | 182 |
| τετραγωνικὴ | 1 | w | 193 |
| Ϛκ | 1 | w | 195 |
| τοσοῦτον | 1 | w | 204 |
| ἡ | 1 | w | 205 |
| κάθετος | 1 | w | 212 |
| d | 5 | w | 214 |
| Ἄλλως | 2 | w | 219 |
| τὰ | 2 | w | 222 |
| λ | 8 | w | 223 |
| τῆς | 1 | w | 226 |
| μιᾶς | 1 | w | 230 |
| πλευρᾶς | 1 | w | 237 |
| ἐφʼ | 2 | w | 240 |
| ἑαυτά | 2 | w | 245 |
| γίνονται | 3 | w | 254 |
| καὶ | 2 | w | 257 |
| τὸ | 2 | w | 259 |
| ἥμισυ | 1 | w | 264 |
| τῆς | 2 | w | 267 |
| βάσεως | 1 | w | 273 |
| τουτέστι | 1 | w | 282 |
| τὰ | 3 | w | 284 |
| ιε | 1 | w | 286 |
| ἐφʼ | 3 | w | 290 |
| ἑαυτά | 3 | w | 295 |
| γίνονται | 4 | w | 304 |
| σκϚ | 1 | w | 307 |
| ταῦτα | 1 | w | 313 |
| ἀπὸ | 1 | w | 316 |
| τῶν | 1 | w | 319 |
| λοιπὸν | 2 | w | 328 |
| χοε | 2 | w | 331 |
| ὧν | 2 | w | 334 |
| πλευρὰ | 2 | w | 340 |
| τετραγωνικὴ | 2 | w | 351 |
| κϚ | 2 | w | 353 |
| τοσοῦτον | 2 | w | 362 |
| ἡ | 2 | w | 363 |
| κάθετος | 2 | w | 370 |
| ταῦτα | 2 | w | 376 |
| ἐπὶ | 1 | w | 379 |
| τὸ | 3 | w | 381 |
| U | 1 | w | 382 |
| 2220ʹ | 1 | w | 387 |
| τῆς | 3 | w | 390 |
| μιᾶς | 2 | w | 394 |
| πλευρᾶς | 2 | w | 401 |
| τουτέστι | 2 | w | 410 |
| τῆς | 4 | w | 413 |
| βάσεως | 2 | w | 419 |
| ἐπὶ | 2 | w | 423 |
| τὰ | 4 | w | 425 |
| ιε | 2 | w | 427 |
| γίνονται | 5 | w | 436 |
| τ | 49 | w | 437 |
| τοσοῦτον | 3 | w | 448 |
| τὸ | 4 | w | 450 |
| ἐμβαδόν | 1 | w | 457 |
| 21a | 1 | w | 461 |
| Τμῆμα | 1 | w | 466 |
| ἧττον | 1 | w | 471 |
| ἡμισφαιρίου | 1 | w | 482 |
| μετρῆσαι | 1 | w | 490 |
| οὗ | 1 | w | 493 |
| ἡ | 4 | w | 494 |
| διάμετρος | 1 | w | 503 |
| ιβ | 1 | w | 505 |
| καὶ | 3 | w | 508 |
| ἡ | 5 | w | 509 |
| κάθετος | 3 | w | 516 |
| δ | 4 | w | 517 |
| εὑρεῖν | 2 | w | 524 |
| αὐτοῦ | 1 | w | 529 |
| τὸ | 5 | w | 531 |
| στερεόν | 1 | w | 538 |
| τῆς | 5 | w | 542 |
| βάσεως | 3 | w | 548 |
| U | 2 | w | 549 |
| 2220ʹ | 2 | w | 554 |
| ἐφʼ | 4 | w | 557 |
| ἑαυτό | 1 | w | 562 |
| γίνονται | 6 | w | 571 |
| λϚ | 1 | w | 573 |
| ταῦτα | 3 | w | 579 |
| τρισσάκις | 1 | w | 588 |
| γίνονται | 7 | w | 597 |
| ρη | 1 | w | 599 |
| καὶ | 4 | w | 603 |
| τὴν | 2 | w | 606 |
| κάθετον | 2 | w | 613 |
| ἐφʼ | 5 | w | 616 |
| ἑαυτήν | 1 | w | 622 |
| γίνονται | 8 | w | 631 |
| ιϚ | 1 | w | 633 |
| σύνθες | 1 | w | 640 |
| ὁμοῦ | 1 | w | 644 |
| γίνονται | 9 | w | 653 |
| ρκδ | 1 | w | 656 |
| ταῦτα | 4 | w | 662 |
| πάλιν | 1 | w | 667 |
| ἐπὶ | 3 | w | 670 |
| τὴν | 3 | w | 673 |
| κάθετον | 3 | w | 680 |
| γίνονταιυ | 1 | w | 690 |
| Ϛ | 6 | w | 693 |
| ταῦτα | 5 | w | 699 |
| ἑνδεκάκις | 1 | w | 708 |
| γίνονται | 11 | w | 717 |
| ευνϚ | 1 | w | 721 |
| τούτων | 2 | w | 727 |
| τὸ | 6 | w | 729 |
| καʹ | 1 | w | 732 |
| γίνονται | 12 | w | 741 |
| σνθ | 1 | w | 744 |
| ζ | 2 | w | 747 |
| τοσοῦτον | 4 | w | 756 |
| τὸ | 7 | w | 758 |
| στερεόν | 2 | w | 765 |
| b | 2 | w | 767 |
| Eὑρεῖν | 1 | w | 773 |
| δὲ | 1 | w | 775 |
| ἀπὸ | 2 | w | 778 |
| τῆς | 6 | w | 781 |
| διαμέτρου | 1 | w | 790 |
| καὶ | 5 | w | 793 |
| τῆς | 7 | w | 796 |
| καθέτου | 1 | w | 803 |
| τὴν | 4 | w | 806 |
| διάμετρον | 1 | w | 815 |
| ὅλης | 1 | w | 819 |
| τῆς | 8 | w | 822 |
| σφαίρας | 1 | w | 829 |
| τῆς | 9 | w | 833 |
| βάσεως | 4 | w | 839 |
| τὸ | 8 | w | 841 |
| U | 3 | w | 842 |
| 2220ʹ | 3 | w | 847 |
| ἐφʼ | 6 | w | 850 |
| ἑαυτό | 2 | w | 855 |
| γίνονται | 13 | w | 864 |
| λῶ | 1 | w | 866 |
| ταύτην | 1 | w | 873 |
| μέριζε | 1 | w | 879 |
| παρὰ | 1 | w | 883 |
| τὴν | 5 | w | 886 |
| κάθετον | 4 | w | 893 |
| παρὰ | 2 | w | 898 |
| τὰ | 5 | w | 900 |
| δ | 10 | w | 901 |
| γίνονται | 14 | w | 910 |
| θ | 11 | w | 911 |
| μῖξον | 1 | w | 917 |
| ὁμοῦ | 2 | w | 921 |
| μετὰ | 1 | w | 925 |
| τὰ | 7 | w | 927 |
| δ | 11 | w | 928 |
| γίνονται | 15 | w | 937 |
| ιγ | 1 | w | 939 |
| τοσοῦτον | 5 | w | 948 |
| ἔσται | 1 | w | 953 |
| ἡ | 6 | w | 954 |
| διάμετρος | 2 | w | 963 |
| τῆς | 10 | w | 966 |
| σφαίρας | 2 | w | 973 |
| Ἔστω | 1 | w | 978 |
| κῶνος | 1 | w | 983 |
| ἀτέλεστος | 1 | w | 992 |
| οὗ | 2 | w | 995 |
| ἡ | 7 | w | 996 |
| περίμετρος | 1 | w | 1006 |
| τῆς | 11 | w | 1009 |
| βάσεως | 5 | w | 1015 |
| ξ | 2 | w | 1016 |
| a | 5 | w | 1018 |
| ἡ | 8 | w | 1019 |
| δὲ | 2 | w | 1021 |
| τῆς | 12 | w | 1024 |
| κορυφῆς | 1 | w | 1031 |
| Ϛ | 8 | w | 1032 |
| τὰ | 8 | w | 1035 |
| δὲ | 3 | w | 1037 |
| κλίματα | 1 | w | 1044 |
| ἀνὰ | 1 | w | 1047 |
| ιε | 3 | w | 1049 |
| εὑρεῖν | 3 | w | 1056 |
| αὐτοῦ | 2 | w | 1061 |
| τὸ | 9 | w | 1063 |
| στερεόν | 3 | w | 1070 |
| λαμβάνω | 1 | w | 1078 |
| τὸ | 10 | w | 1080 |
| γʹ | 1 | w | 1082 |
| τῆς | 13 | w | 1085 |
| βάσεως | 6 | w | 1091 |
| τῶν | 2 | w | 1094 |
| ξ | 3 | w | 1095 |
| γίνονται | 16 | w | 1104 |
| κ | 28 | w | 1105 |
| ἥτις | 1 | w | 1110 |
| ἐστὶν | 1 | w | 1115 |
| ἡ | 9 | w | 1116 |
| διάμετρος | 3 | w | 1125 |
| καὶ | 6 | w | 1129 |
| τῶν | 3 | w | 1132 |
| Ϛ | 9 | w | 1133 |
| τῆς | 14 | w | 1136 |
| κορυφῆς | 2 | w | 1143 |
| τὸ | 11 | w | 1145 |
| γʹ | 2 | w | 1147 |
| γίνονται | 17 | w | 1156 |
| β | 10 | w | 1157 |
| καὶ | 7 | w | 1161 |
| ποιῶ | 1 | w | 1165 |
| ὡς | 1 | w | 1167 |
| τραπέζιον | 1 | w | 1176 |
| ἰσοσκελές | 1 | w | 1185 |
| καὶ | 8 | w | 1189 |
| ἀφαιρῶ | 1 | w | 1195 |
| τὰ | 9 | w | 1197 |
| β | 11 | w | 1198 |
| ἀπὸ | 3 | w | 1201 |
| τῶν | 4 | w | 1204 |
| κ | 34 | w | 1205 |
| λοιπὸν | 3 | w | 1212 |
| ιη | 1 | w | 1214 |
| τούτων | 3 | w | 1221 |
| τὸ | 12 | w | 1223 |
| U | 4 | w | 1224 |
| 2220 | 4 | w | 1228 |
| θ | 12 | w | 1230 |
| ἐπὶ | 4 | w | 1234 |
| ταῦτα | 6 | w | 1239 |
| πεσεῖται | 1 | w | 1247 |
| ἡ | 10 | w | 1248 |
| κάθετος | 4 | w | 1255 |
| ταῦτα | 7 | w | 1261 |
| 22a | 1 | w | 1264 |
| Diaemetri | 1 | w | 1274 |
| et | 3 | w | 1276 |
| inde | 1 | w | 1280 |
| altitudo | 1 | w | 1288 |
| crassius | 1 | w | 1296 |
| computantur | 1 | w | 1307 |
| 11 | 1 | w | 1310 |
| τρισάκις | 1 | w | 1318 |
| A | 3 | w | 1319 |
| ἐφʼ | 7 | w | 1323 |
| ἑαυτά | 4 | w | 1328 |
| γίνονται | 18 | w | 1337 |
| κα | 11 | w | 1339 |
| καὶ | 9 | w | 1343 |
| τὰ | 10 | w | 1345 |
| ιε | 4 | w | 1347 |
| τοῦ | 3 | w | 1350 |
| κλίματος | 1 | w | 1358 |
| ἐφ | 8 | w | 1360 |
| ἑαυτά | 5 | w | 1365 |
| γίνονται | 19 | w | 1374 |
| σκε | 3 | w | 1377 |
| ἀπὸ | 4 | w | 1381 |
| τούτων | 4 | w | 1387 |
| ἀφαιρῶ | 2 | w | 1393 |
| τὰ | 11 | w | 1395 |
| πα | 3 | w | 1397 |
| λοιπὸν | 4 | w | 1404 |
| ρμδ | 1 | w | 1407 |
| τούτων | 5 | w | 1414 |
| πλευρὰ | 3 | w | 1420 |
| τετραγωνικὴ | 3 | w | 1431 |
| ιβ | 2 | w | 1433 |
| ἔσται | 2 | w | 1439 |
| ἡ | 11 | w | 1440 |
| κάθετος | 5 | w | 1447 |
| τοῦ | 4 | w | 1450 |
| κώνου | 1 | w | 1455 |
| τουτέστι | 3 | w | 1464 |
| τὸ | 13 | w | 1466 |
| ὕψος | 1 | w | 1470 |
| ιβ | 3 | w | 1473 |