| Refs | {'start': {'reference': '51', 'human_reference': 'Section 51'}, 'end': {'reference': '53', 'human_reference': 'Section 53'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| 51 | 1 | w | 2 |
| Διὰ | 1 | w | 6 |
| τί | 1 | w | 8 |
| προσπεσοῦνται | 1 | w | 21 |
| αἱ | 1 | w | 23 |
| ΒΕ | 1 | w | 25 |
| Γ | 1 | w | 27 |
| ἐπεὶ | 1 | w | 32 |
| τὸ | 1 | w | 34 |
| τῶν | 1 | w | 37 |
| ὀμμάτων | 1 | w | 44 |
| διάστημα | 1 | w | 52 |
| μεῖζόν | 1 | w | 58 |
| ἐστι | 1 | w | 62 |
| καὶ | 1 | w | 65 |
| παράλληλον | 1 | w | 75 |
| τῇ | 1 | w | 77 |
| διαμέτρῳ | 1 | w | 85 |
| τῆς | 1 | w | 88 |
| σφαίρας | 1 | w | 95 |
| ἐφάψονται | 1 | w | 105 |
| δὲ | 1 | w | 107 |
| αἱ | 2 | w | 109 |
| ἀκτῖνες | 1 | w | 116 |
| τῆς | 2 | w | 119 |
| σφαίρας | 2 | w | 126 |
| κατὰ | 1 | w | 130 |
| πέρατα | 1 | w | 136 |
| διαμέτρου | 1 | w | 145 |
| κύκλου | 1 | w | 151 |
| τινὸς | 1 | w | 156 |
| τῶν | 2 | w | 159 |
| ἐν | 1 | w | 161 |
| τῇ | 2 | w | 163 |
| σφαίρᾳ | 1 | w | 169 |
| ἐλάττονος | 1 | w | 178 |
| καὶ | 2 | w | 181 |
| παραλλήλου | 1 | w | 191 |
| οὔσης | 1 | w | 196 |
| τῷ | 1 | w | 198 |
| διαστήματι | 1 | w | 208 |
| τῶν | 3 | w | 211 |
| ὀμμάτων | 2 | w | 218 |
| ἐπεὶ | 2 | w | 223 |
| καὶ | 3 | w | 226 |
| τῆς | 3 | w | 229 |
| διαμέτρου | 2 | w | 238 |
| τῆς | 4 | w | 241 |
| σφαίρας | 3 | w | 248 |
| ἐλάσσων | 1 | w | 255 |
| αὕτη | 1 | w | 259 |
| ἐστὶ | 1 | w | 263 |
| καὶ | 4 | w | 266 |
| παράλληλος | 1 | w | 276 |
| καὶ | 5 | w | 280 |
| οὐχὶ | 1 | w | 284 |
| κατὰ | 2 | w | 288 |
| τὰ | 3 | w | 290 |
| πέρατα | 2 | w | 296 |
| τῆς | 5 | w | 299 |
| διαμέτρου | 3 | w | 308 |
| τῆς | 6 | w | 311 |
| σφαίρας | 4 | w | 318 |
| αἱ | 3 | w | 321 |
| ἐπιζευγνῦσαι | 1 | w | 333 |
| τὰς | 1 | w | 336 |
| παραλλήλους | 1 | w | 347 |
| μέν | 1 | w | 350 |
| μὴ | 1 | w | 353 |
| ἴσας | 1 | w | 357 |
| δέ | 1 | w | 359 |
| οὐκ | 1 | w | 363 |
| ἔσονται | 1 | w | 370 |
| παράλληλοι | 1 | w | 380 |
| συμπεσοῦνται | 1 | w | 393 |
| ἄρα | 1 | w | 396 |
| αἱ | 4 | w | 398 |
| ΒΕ | 2 | w | 400 |
| Γ | 2 | w | 402 |
| ὅτι | 1 | w | 406 |
| δὲ | 2 | w | 408 |
| οὐκ | 2 | w | 411 |
| ἐφάψονται | 2 | w | 420 |
| κατὰ | 3 | w | 424 |
| τὰ | 6 | w | 426 |
| πέρατα | 3 | w | 432 |
| τῆς | 7 | w | 435 |
| διαμέτρου | 4 | w | 444 |
| τῆς | 8 | w | 447 |
| σφαίρας | 5 | w | 454 |
| φανερόν | 1 | w | 462 |
| εἰ | 1 | w | 465 |
| γὰρ | 1 | w | 468 |
| ἐφάψονται | 3 | w | 477 |
| κατὰ | 4 | w | 481 |
| τὰ | 8 | w | 483 |
| πέρατα | 4 | w | 489 |
| τῆς | 9 | w | 492 |
| διαμέτρου | 5 | w | 501 |
| τῆς | 10 | w | 504 |
| σφαίρας | 6 | w | 511 |
| διὰ | 1 | w | 515 |
| τὸ | 2 | w | 517 |
| ιηʹ | 1 | w | 520 |
| τοῦ | 1 | w | 523 |
| γʹ | 1 | w | 525 |
| τῶν | 4 | w | 528 |
| Στοιχείων | 1 | w | 537 |
| ὀρθὰς | 1 | w | 542 |
| ποιήσει | 1 | w | 549 |
| γωνίας | 1 | w | 555 |
| ἡ | 1 | w | 556 |
| ἐφαπτομένη | 1 | w | 566 |
| μετὰ | 1 | w | 570 |
| τῆς | 11 | w | 573 |
| διαμέτρου | 6 | w | 582 |
| τῆς | 12 | w | 585 |
| σφαίρας | 7 | w | 592 |
| αἱ | 5 | w | 595 |
| δὲ | 3 | w | 597 |
| ἀπὸ | 1 | w | 600 |
| δύο | 1 | w | 603 |
| ὀρθῶν | 1 | w | 608 |
| ἐκβαλλόμεναι | 1 | w | 620 |
| οὐ | 4 | w | 622 |
| συμπεσοῦνται | 2 | w | 634 |
| παραλληλόγραμμον | 1 | w | 651 |
| ἄρα | 2 | w | 654 |
| ἐστὶ | 2 | w | 658 |
| τὸ | 3 | w | 660 |
| ὑπὸ | 1 | w | 663 |
| τῶν | 5 | w | 666 |
| ἀκτίνων | 1 | w | 673 |
| τοῦ | 2 | w | 677 |
| διαστήματος | 1 | w | 688 |
| τῶν | 6 | w | 691 |
| ὀμμάτων | 3 | w | 698 |
| καὶ | 6 | w | 701 |
| τῆς | 13 | w | 704 |
| διαμέτρου | 7 | w | 713 |
| τῆς | 14 | w | 716 |
| σφαίρας | 8 | w | 723 |
| περιεχόμενον | 1 | w | 735 |
| τῶν | 7 | w | 739 |
| δὲ | 4 | w | 741 |
| παραλληλογράμμων | 1 | w | 757 |
| αἱ | 6 | w | 759 |
| ἀπεναντίον | 1 | w | 769 |
| πλευραὶ | 1 | w | 776 |
| ἴσαι | 1 | w | 780 |
| ἀλλήλαις | 1 | w | 788 |
| εἰσί | 1 | w | 792 |
| ἴσον | 1 | w | 797 |
| ἄρα | 3 | w | 800 |
| τὸ | 4 | w | 802 |
| τῶν | 8 | w | 805 |
| ὀμμάτων | 4 | w | 812 |
| διάστημα | 2 | w | 820 |
| τὸ | 5 | w | 822 |
| ΒΓ | 1 | w | 824 |
| τῇ | 3 | w | 826 |
| διαμέτρῳ | 2 | w | 834 |
| τῆς | 15 | w | 837 |
| σφαίρας | 9 | w | 844 |
| ὅπερ | 1 | w | 849 |
| οὐχ | 2 | w | 852 |
| ὑπόκειται | 1 | w | 861 |
| οὐκ | 3 | w | 865 |
| ἐφάψονται | 4 | w | 874 |
| ἄρα | 4 | w | 877 |
| κατὰ | 5 | w | 881 |
| τὰ | 11 | w | 883 |
| πέρατα | 5 | w | 889 |
| τῆς | 16 | w | 892 |
| διαμέτρου | 8 | w | 901 |
| τῆς | 17 | w | 904 |
| σφαίρας | 10 | w | 911 |
| 49 | 1 | w | 914 |
| Vb | 1 | w | 917 |
| 50 | 1 | w | 920 |
| Vb | 2 | w | 923 |
| 51 | 2 | w | 926 |
| V1 | 1 | w | 929 |
| 27 | 1 | w | 932 |
| ὅπερ | 2 | w | 936 |
| οὐχ | 3 | w | 939 |
| ὑπόκειται | 2 | w | 948 |
| supra | 1 | w | 954 |
| scr | 1 | w | 957 |
| 52 | 1 | w | 960 |
| Ἔλαττόν | 1 | w | 968 |
| ἐστιν | 1 | w | 973 |
| ἡμικυκλίου | 1 | w | 983 |
| p | 2 | w | 984 |
| 44 | 1 | w | 987 |
| 8 | 1 | w | 989 |
| διὰ | 2 | w | 992 |
| τὸ | 6 | w | 994 |
| κεʹ | 1 | w | 997 |
| νοηθήτω | 1 | w | 1005 |
| γὰρ | 2 | w | 1008 |
| ὄμμα | 1 | w | 1012 |
| τὸ | 7 | w | 1014 |
| Ζ | 1 | w | 1015 |
| προσβάλλον | 1 | w | 1025 |
| τῇ | 4 | w | 1027 |
| ΕΘ | 1 | w | 1029 |
| Η | 1 | w | 1030 |
| σφαίρᾳ | 2 | w | 1036 |
| 53 | 1 | w | 1039 |
| Ἐπτεὶ | 1 | w | 1045 |
| οὖν | 1 | w | 1048 |
| ἀπό | 1 | w | 1051 |
| τινος | 1 | w | 1056 |
| p | 3 | w | 1057 |
| 46 | 1 | w | 1060 |
| 6 | 2 | w | 1062 |
| νοηθήτω | 2 | w | 1069 |
| γὰρ | 3 | w | 1072 |
| ὄμμα | 2 | w | 1076 |
| τὸ | 8 | w | 1078 |
| Ζ | 2 | w | 1079 |
| διὰ | 3 | w | 1083 |
| τὸ | 9 | w | 1085 |
| κε | 4 | w | 1087 |