| Refs | {'start': {'reference': '67', 'human_reference': 'Section 67'}, 'end': {'reference': '71', 'human_reference': 'Section 71'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| 67 | 1 | w | 2 |
| Ἐπτεὶ | 1 | w | 8 |
| οὖν | 1 | w | 11 |
| μείζων | 1 | w | 17 |
| ἐστὶν | 1 | w | 22 |
| ἡ | 1 | w | 23 |
| πρός | 1 | w | 27 |
| p | 1 | w | 28 |
| 74 | 1 | w | 31 |
| 15 | 1 | w | 34 |
| διὰ | 1 | w | 37 |
| τὸ | 1 | w | 39 |
| κβʹ | 1 | w | 42 |
| τοῦ | 1 | w | 45 |
| γʹ | 1 | w | 47 |
| τῶν | 1 | w | 50 |
| Στοιχείων | 1 | w | 59 |
| ἐπὶ | 1 | w | 63 |
| τῆς | 1 | w | 66 |
| αὐτῆς | 1 | w | 71 |
| γὰρ | 1 | w | 74 |
| εὐθείας | 1 | w | 81 |
| δύο | 1 | w | 84 |
| ὅμοια | 1 | w | 89 |
| τμήματα | 1 | w | 96 |
| κύκλων | 1 | w | 102 |
| οὐ | 1 | w | 104 |
| συσταθήσονται | 1 | w | 117 |
| ὅμοια | 2 | w | 123 |
| δὲ | 1 | w | 125 |
| τμήματα | 2 | w | 132 |
| κύκλων | 2 | w | 138 |
| κατὰ | 1 | w | 142 |
| τὸν | 1 | w | 145 |
| ὄρον | 1 | w | 149 |
| τοῦ | 2 | w | 152 |
| αὐτοῦ | 1 | w | 157 |
| βιβλίου | 1 | w | 164 |
| τὰ | 2 | w | 166 |
| δεχόμενα | 1 | w | 174 |
| γωνίας | 1 | w | 180 |
| ἴσας | 1 | w | 184 |
| ὅτι | 1 | w | 188 |
| δὲ | 2 | w | 190 |
| ἡ | 2 | w | 191 |
| πρὸς | 1 | w | 195 |
| τῷ | 1 | w | 197 |
| Ξ | 1 | w | 198 |
| μείζων | 2 | w | 204 |
| τῆς | 3 | w | 207 |
| πρὸς | 2 | w | 211 |
| τῷ | 2 | w | 213 |
| Ο | 1 | w | 214 |
| καὶ | 1 | w | 217 |
| πάλιν | 1 | w | 222 |
| αὕτη | 1 | w | 226 |
| τῆς | 4 | w | 229 |
| πρὸς | 3 | w | 233 |
| τῷ | 3 | w | 235 |
| Π | 1 | w | 236 |
| δειχθήσεται | 1 | w | 248 |
| διὰ | 2 | w | 251 |
| τῆς | 5 | w | 254 |
| δείξεως | 1 | w | 261 |
| τοῦ | 4 | w | 264 |
| κβʹ | 2 | w | 267 |
| τοῦ | 5 | w | 270 |
| γʹ | 2 | w | 272 |
| τῶν | 2 | w | 275 |
| Στοιχείων | 2 | w | 284 |
| 68 | 1 | w | 287 |
| Μεγίστη | 1 | w | 295 |
| δὲ | 3 | w | 297 |
| ἡ | 3 | w | 298 |
| Ξ | 2 | w | 299 |
| p | 2 | w | 300 |
| 76 | 1 | w | 303 |
| 6 | 4 | w | 305 |
| διὰ | 3 | w | 308 |
| τὸ | 3 | w | 310 |
| λῆμμα | 1 | w | 315 |
| τὸ | 4 | w | 317 |
| 66 | 1 | w | 319 |
| V2 | 1 | w | 322 |
| 67 | 2 | w | 325 |
| V2 | 2 | w | 328 |
| 68 | 2 | w | 331 |
| Vb | 1 | w | 334 |
| 3 | 1 | w | 336 |
| διά | 1 | w | 340 |
| bis | 1 | w | 344 |
| ἡ | 4 | w | 345 |
| om | 1 | w | 348 |
| 4 | 2 | w | 349 |
| ΓΕ | 1 | w | 352 |
| ΓΖ | 1 | w | 355 |
| 7 | 5 | w | 357 |
| ἡ | 5 | w | 359 |
| alt | 1 | w | 363 |
| om | 2 | w | 368 |
| 13 | 1 | w | 371 |
| ΖΘ | 1 | w | 374 |
| Ζ | 3 | w | 376 |
| τῇ | 1 | w | 378 |
| e | 1 | w | 380 |
| corr | 1 | w | 384 |
| 16 | 1 | w | 386 |
| ἴση | 1 | w | 390 |
| pr | 1 | w | 393 |
| bis | 2 | w | 399 |
| πρὸ | 4 | w | 403 |
| τούτου | 1 | w | 409 |
| αἱ | 1 | w | 412 |
| γὰρ | 2 | w | 415 |
| ἴσον | 1 | w | 419 |
| ἀπέχουσαι | 1 | w | 428 |
| τῆς | 6 | w | 431 |
| διαμέτρου | 1 | w | 440 |
| γωνίαι | 1 | w | 446 |
| ἴσαι | 1 | w | 450 |
| εἰσίν | 1 | w | 455 |
| 69 | 1 | w | 458 |
| Ὑπερπίπτειν | 1 | w | 470 |
| p | 4 | w | 471 |
| 76 | 2 | w | 474 |
| 9 | 2 | w | 476 |
| εἰ | 2 | w | 478 |
| γὰρ | 3 | w | 481 |
| ἴση | 2 | w | 484 |
| τὸ | 5 | w | 487 |
| δὲ | 4 | w | 489 |
| ἡμικυκλοειδὲς | 1 | w | 502 |
| σχῆμα | 1 | w | 507 |
| στενοῦται | 1 | w | 516 |
| ὑπερπέσῃ | 1 | w | 525 |
| ἂν | 1 | w | 527 |
| ἡ | 7 | w | 528 |
| ἴση | 3 | w | 531 |
| αὐτῇ | 1 | w | 535 |
| στενοῦνται | 1 | w | 546 |
| δὲ | 6 | w | 548 |
| διὰ | 4 | w | 551 |
| τὸ | 6 | w | 553 |
| ἐφάπτεσθαι | 1 | w | 563 |
| τῶν | 3 | w | 566 |
| ἀπὸ | 1 | w | 569 |
| τοῦ | 6 | w | 572 |
| κέντρου | 1 | w | 579 |
| μειζόνων | 1 | w | 587 |
| οὐσῶν | 1 | w | 592 |
| τῆς | 7 | w | 595 |
| ΝΞ | 1 | w | 597 |
| 70 | 1 | w | 600 |
| Περιγεγράφθω | 1 | w | 613 |
| p | 5 | w | 614 |
| 78 | 1 | w | 617 |
| 3 | 3 | w | 619 |
| δέδεικται | 1 | w | 628 |
| ἐν | 1 | w | 630 |
| τῷ | 4 | w | 632 |
| δ | 19 | w | 633 |
| βιβλίῳ | 1 | w | 639 |
| Γωμετρίας | 1 | w | 648 |
| περὶ | 1 | w | 652 |
| τὸ | 7 | w | 654 |
| δοθὲν | 1 | w | 659 |
| τρίγωνον | 1 | w | 667 |
| κύκλον | 1 | w | 673 |
| περιγράψαι | 1 | w | 683 |
| ὥστε | 1 | w | 688 |
| δυνατόν | 1 | w | 695 |
| ἐστι | 1 | w | 699 |
| τῷ | 5 | w | 701 |
| βουλομένῳ | 1 | w | 710 |
| περὶ | 2 | w | 714 |
| τὸ | 8 | w | 716 |
| ΚΞΛ | 1 | w | 719 |
| τρίγωνον | 2 | w | 727 |
| καὶ | 2 | w | 730 |
| ἔτι | 1 | w | 733 |
| περὶ | 3 | w | 737 |
| τὸ | 9 | w | 739 |
| ΚΟΑ | 1 | w | 742 |
| τμήματα | 3 | w | 749 |
| κύκλων | 3 | w | 755 |
| γράψαι | 2 | w | 761 |
| περιγραφέντων | 1 | w | 775 |
| δὲ | 7 | w | 777 |
| τῶν | 4 | w | 780 |
| γ | 16 | w | 781 |
| τμημάτων | 1 | w | 789 |
| φανερόν | 1 | w | 796 |
| ὅτι | 2 | w | 800 |
| μεῖζον | 1 | w | 806 |
| τῶν | 5 | w | 809 |
| β | 8 | w | 810 |
| ἐστὶ | 2 | w | 814 |
| τὸ | 10 | w | 816 |
| ΚΝΛ | 1 | w | 819 |
| τμῆμα | 1 | w | 824 |
| τὸ | 11 | w | 827 |
| δὲ | 8 | w | 829 |
| ΚΞΛ | 2 | w | 832 |
| ἔλαττον | 1 | w | 839 |
| μὲν | 1 | w | 842 |
| αὐτοῦ | 2 | w | 847 |
| μεῖζον | 2 | w | 854 |
| δὲ | 9 | w | 856 |
| τοῦ | 8 | w | 859 |
| ΚΟΛ | 1 | w | 862 |
| διὰ | 5 | w | 866 |
| ταῦτα | 1 | w | 871 |
| δὴ | 1 | w | 873 |
| μείζων | 3 | w | 879 |
| ἡ | 8 | w | 880 |
| ἐν | 2 | w | 882 |
| τῷ | 6 | w | 884 |
| Κ | 6 | w | 885 |
| Ο | 4 | w | 886 |
| Λ | 5 | w | 887 |
| τμήματι | 1 | w | 894 |
| γωνία | 3 | w | 899 |
| ἡ | 9 | w | 901 |
| γὰρ | 4 | w | 904 |
| ἐν | 3 | w | 906 |
| ἐλάττονι | 1 | w | 914 |
| τμήματι | 2 | w | 921 |
| γωνία | 4 | w | 926 |
| μείζων | 4 | w | 932 |
| ἡ | 10 | w | 934 |
| δὲ | 10 | w | 936 |
| πρὸς | 4 | w | 940 |
| τῷ | 7 | w | 942 |
| Ξ | 6 | w | 943 |
| μείζων | 5 | w | 949 |
| τῆς | 8 | w | 952 |
| πρὸς | 5 | w | 956 |
| τῷ | 8 | w | 958 |
| Ν | 3 | w | 959 |
| 71 | 1 | w | 962 |
| Καὶ | 1 | w | 966 |
| κείσθω | 1 | w | 972 |
| τῇ | 3 | w | 974 |
| ΗΘ | 1 | w | 976 |
| p | 6 | w | 977 |
| 78 | 2 | w | 980 |
| 9 | 3 | w | 982 |
| ἐπεὶ | 1 | w | 986 |
| γὰρ | 5 | w | 989 |
| τμῆμα | 2 | w | 994 |
| κύκλου | 1 | w | 1000 |
| ἐστὶ | 3 | w | 1004 |
| τὸ | 12 | w | 1006 |
| ΚΝΛ | 2 | w | 1009 |
| ἀπὸ | 2 | w | 1013 |
| τοῦ | 9 | w | 1016 |
| Μ | 2 | w | 1017 |
| σημείου | 1 | w | 1024 |
| πρὸς | 6 | w | 1028 |
| τὴν | 1 | w | 1031 |
| περιφέρειαν | 1 | w | 1042 |
| ἄλλη | 1 | w | 1046 |
| τις | 1 | w | 1049 |
| ἴση | 4 | w | 1052 |
| τῇ | 4 | w | 1054 |
| ΜΝ | 1 | w | 1056 |
| οὐκ | 1 | w | 1059 |
| ἐκβληθήσεται | 1 | w | 1071 |
| ἀλλʼ | 1 | w | 1076 |
| εἰ | 3 | w | 1078 |
| ἴση | 5 | w | 1081 |
| τῇ | 5 | w | 1083 |
| ΗΘ | 2 | w | 1085 |
| ἐκβληθῆναι | 1 | w | 1095 |
| ἐπιταχθήσεται | 1 | w | 1108 |
| ἔξω | 1 | w | 1112 |
| ἐκβληθήσεται | 2 | w | 1124 |