| Refs | {'start': {'reference': '11', 'human_reference': 'Paragraph 11'}, 'end': {'reference': '15', 'human_reference': 'Paragraph 15'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| Ἔστω | 1 | w | 4 |
| σφαῖρα | 1 | w | 10 |
| ἔχουσα | 1 | w | 16 |
| τὴν | 1 | w | 19 |
| διάμετρον | 1 | w | 28 |
| ι | 2 | w | 29 |
| εὑρεῖν | 1 | w | 36 |
| αὐτῆς | 1 | w | 41 |
| τὴν | 2 | w | 44 |
| ἐπιφάνειαν | 1 | w | 54 |
| ποίει | 1 | w | 60 |
| οὕτως | 1 | w | 65 |
| τὰ | 1 | w | 68 |
| ι | 6 | w | 69 |
| ἐφʼ | 1 | w | 72 |
| ἑαυτά | 1 | w | 77 |
| γίνονται | 1 | w | 86 |
| ρ | 4 | w | 87 |
| ταῦτα | 1 | w | 93 |
| ἐπὶ | 1 | w | 96 |
| τὰ | 2 | w | 98 |
| ια | 2 | w | 100 |
| γίνονται | 2 | w | 109 |
| αρ | 1 | w | 111 |
| τούτων | 1 | w | 118 |
| τὸ | 1 | w | 120 |
| ιδʹ | 1 | w | 123 |
| οη | 1 | w | 126 |
| U | 1 | w | 127 |
| 2220 | 1 | w | 131 |
| ιδʹ | 2 | w | 134 |
| ταῦτα | 2 | w | 140 |
| τετράκις | 1 | w | 148 |
| γίνονται | 3 | w | 157 |
| τιδ | 1 | w | 160 |
| δʹ | 3 | w | 162 |
| κη | 1 | w | 164 |
| τοσοῦτον | 1 | w | 173 |
| ἡ | 1 | w | 174 |
| ἐπιφάνεια | 2 | w | 183 |
| τῆς | 2 | w | 186 |
| σφαίρας | 1 | w | 193 |
| Τὸ | 1 | w | 196 |
| δὲ | 1 | w | 198 |
| πλινθίον | 1 | w | 206 |
| συνέστηκεν | 1 | w | 216 |
| ἐπὶ | 2 | w | 219 |
| τῶνδε | 1 | w | 224 |
| τῶν | 2 | w | 227 |
| ἀριθμῶν | 1 | w | 234 |
| Ϛ | 1 | w | 236 |
| η | 4 | w | 238 |
| θ | 3 | w | 240 |
| ιβ | 1 | w | 243 |
| ὁ | 1 | w | 244 |
| μὲν | 1 | w | 247 |
| οὖν | 1 | w | 250 |
| η | 5 | w | 251 |
| πρὸς | 1 | w | 255 |
| τὸν | 1 | w | 258 |
| ϛ | 1 | w | 259 |
| ἐν | 1 | w | 261 |
| ἐπιτρίτῳ | 1 | w | 269 |
| λόγῳ | 1 | w | 273 |
| καθʼ | 1 | w | 278 |
| ἣν | 1 | w | 280 |
| ἡ | 2 | w | 281 |
| διὰ | 1 | w | 284 |
| τεσσάρων | 1 | w | 292 |
| ἐστὶν | 1 | w | 297 |
| ἁρμονία | 1 | w | 304 |
| ὁ | 2 | w | 306 |
| δὲ | 2 | w | 308 |
| ιβ | 2 | w | 310 |
| πρὸς | 2 | w | 314 |
| τὸν | 2 | w | 317 |
| ϛ | 2 | w | 318 |
| ἐν | 2 | w | 320 |
| διπλασίῳ | 1 | w | 328 |
| καθʼ | 2 | w | 333 |
| ἣν | 2 | w | 335 |
| ἡ | 3 | w | 336 |
| διὰ | 2 | w | 339 |
| πασῶν | 1 | w | 344 |
| ἕξεων | 1 | w | 349 |
| ἔλεγχοι | 1 | w | 356 |
| καὶ | 1 | w | 359 |
| τῆς | 3 | w | 362 |
| ἀναλογίας | 1 | w | 371 |
| ἀριθμητικῆς | 1 | w | 382 |
| μὲν | 2 | w | 385 |
| ἐκ | 1 | w | 387 |
| τῶν | 3 | w | 390 |
| ϛ | 3 | w | 391 |
| καὶ | 2 | w | 394 |
| θ | 7 | w | 395 |
| καὶ | 3 | w | 398 |
| ιβ | 3 | w | 400 |
| οἷς | 1 | w | 404 |
| γὰρ | 1 | w | 407 |
| ἂν | 1 | w | 409 |
| ὑπερέχῃ | 1 | w | 416 |
| ὁ | 3 | w | 417 |
| μέσος | 1 | w | 422 |
| τοῦ | 1 | w | 425 |
| πρώτου | 1 | w | 431 |
| τοσούτοις | 1 | w | 441 |
| ὑπερέχεται | 1 | w | 451 |
| τοῦ | 2 | w | 454 |
| τελευταίου | 1 | w | 464 |
| γεωμετρικὴ | 1 | w | 475 |
| δὲ | 3 | w | 477 |
| ἡ | 4 | w | 478 |
| τῶν | 4 | w | 481 |
| τεσσάρων | 2 | w | 489 |
| ὃν | 1 | w | 492 |
| γὰρ | 2 | w | 495 |
| λόγον | 1 | w | 500 |
| ἔχει | 1 | w | 504 |
| τὰ | 3 | w | 506 |
| η | 7 | w | 507 |
| πρὸς | 3 | w | 511 |
| τὰ | 4 | w | 513 |
| ϛ | 4 | w | 514 |
| τοσοῦτον | 2 | w | 523 |
| τὰ | 5 | w | 525 |
| ιβ | 4 | w | 527 |
| πρὸς | 4 | w | 531 |
| τὰ | 6 | w | 533 |
| θ | 8 | w | 534 |
| ὁ | 4 | w | 535 |
| δὲ | 4 | w | 537 |
| λόγος | 1 | w | 542 |
| ἐπίτριτος | 1 | w | 551 |
| 9a | 1 | w | 554 |
| Ἡμικυκλίου | 1 | w | 564 |
| λώρου | 1 | w | 569 |
| τοῦ | 3 | w | 572 |
| λεγομένου | 1 | w | 581 |
| ἡ | 5 | w | 582 |
| διάμετρος | 1 | w | 591 |
| ζ | 1 | w | 592 |
| καὶ | 4 | w | 595 |
| τὰ | 7 | w | 597 |
| πάχη | 1 | w | 601 |
| ἀνὰ | 1 | w | 604 |
| β | 5 | w | 605 |
| σύνθες | 1 | w | 612 |
| τὴν | 3 | w | 615 |
| διάμετρον | 2 | w | 624 |
| καὶ | 5 | w | 627 |
| τὰ | 8 | w | 629 |
| δύο | 1 | w | 632 |
| πάχη | 2 | w | 636 |
| γίνονται | 4 | w | 645 |
| ια | 4 | w | 647 |
| ταῦτα | 3 | w | 653 |
| ἐφʼ | 2 | w | 656 |
| ἑαυτά | 2 | w | 661 |
| γίνονται | 5 | w | 670 |
| ρκα | 1 | w | 673 |
| ἀπὸ | 1 | w | 677 |
| τούτων | 2 | w | 683 |
| ὕφειλον | 1 | w | 690 |
| τὴν | 4 | w | 693 |
| διάμετρον | 3 | w | 702 |
| ἐφʼ | 3 | w | 705 |
| ἑαυτήν | 1 | w | 711 |
| γίνονται | 6 | w | 720 |
| μθ | 1 | w | 722 |
| λοιπὸν | 1 | w | 729 |
| οβ | 1 | w | 731 |
| ταῦτα | 4 | w | 737 |
| ἐπὶ | 3 | w | 740 |
| τὰ | 9 | w | 742 |
| ια | 5 | w | 744 |
| γίνονται | 7 | w | 753 |
| ψ | 1 | w | 754 |
| β | 7 | w | 757 |
| τούτων | 3 | w | 764 |
| 6 | 1 | w | 765 |
| Cf | 1 | w | 768 |
| Geom | 1 | w | 773 |
| 93 | 1 | w | 776 |
| 2 | 4 | w | 778 |
| et | 1 | w | 780 |
| 8 | 1 | w | 781 |
| 7 | 1 | w | 783 |
| Ster | 1 | w | 787 |
| l | 1 | w | 789 |
| 5 | 1 | w | 791 |
| 8 | 2 | w | 794 |
| Ster | 2 | w | 798 |
| l | 2 | w | 800 |
| 30 | 1 | w | 803 |
| 5 | 2 | w | 805 |
| τὸ | 4 | w | 807 |
| κάθετον | 1 | w | 814 |
| A | 1 | w | 815 |
| Lacunam | 1 | w | 823 |
| statui | 1 | w | 829 |
| item | 1 | w | 834 |
| infra | 1 | w | 839 |
| l | 3 | w | 840 |
| 17 | 1 | w | 843 |
| et | 2 | w | 845 |
| 22 | 3 | w | 847 |
| τὸ | 5 | w | 851 |
| κηʹ | 1 | w | 854 |
| γίνονται | 8 | w | 863 |
| κη | 3 | w | 865 |
| δʹ | 4 | w | 867 |
| κηʹ | 2 | w | 870 |
| τοσοῦτον | 3 | w | 879 |
| τὸ | 6 | w | 881 |
| ἐμβαδὸν | 1 | w | 888 |
| τοῦ | 4 | w | 891 |
| λώρου | 2 | w | 896 |
| ἄλλως | 1 | w | 902 |
| σύνθες | 2 | w | 909 |
| τὴν | 5 | w | 912 |
| διάμετρον | 4 | w | 921 |
| καὶ | 6 | w | 924 |
| τὸ | 7 | w | 926 |
| ἓν | 1 | w | 928 |
| πάχος | 1 | w | 933 |
| b | 1 | w | 935 |
| γίνονται | 9 | w | 943 |
| θ | 13 | w | 944 |
| ταῦτα | 5 | w | 950 |
| ἐπὶ | 4 | w | 953 |
| τὰ | 10 | w | 955 |
| ια | 6 | w | 957 |
| γίνονται | 10 | w | 966 |
| θ | 14 | w | 969 |
| τούτων | 4 | w | 976 |
| τὸ | 8 | w | 978 |
| ζʹ | 1 | w | 980 |
| γίνονται | 11 | w | 989 |
| ιδ | 4 | w | 991 |
| ζʹ | 2 | w | 993 |
| τοσοῦτον | 4 | w | 1002 |
| ἡ | 6 | w | 1003 |
| περίμετρος | 1 | w | 1013 |
| ἐν | 3 | w | 1015 |
| τῷ | 1 | w | 1017 |
| μέσῳ | 1 | w | 1021 |
| ταῦτα | 6 | w | 1027 |
| ἐπὶ | 5 | w | 1030 |
| τὸ | 9 | w | 1032 |
| πάχος | 2 | w | 1037 |
| ἐπὶ | 6 | w | 1041 |
| τὰ | 11 | w | 1043 |
| β | 9 | w | 1044 |
| γίνονται | 12 | w | 1053 |
| κη | 5 | w | 1055 |
| δʹ | 5 | w | 1057 |
| κη | 6 | w | 1059 |
| Μέθοδος | 1 | w | 1067 |
| τῶν | 5 | w | 1070 |
| πολυγώνων | 1 | w | 1079 |