| Refs | {'start': {'reference': '89', 'human_reference': 'Paragraph 89'}, 'end': {'reference': '90', 'human_reference': 'Paragraph 90'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| Εὑρεῖν | 1 | w | 6 |
| αὐτοῦ | 1 | w | 11 |
| καὶ | 1 | w | 14 |
| τὴν | 1 | w | 17 |
| ἐπιφάνειαν | 1 | w | 27 |
| τῆς | 1 | w | 31 |
| βάσεως | 1 | w | 37 |
| τὸ | 1 | w | 39 |
| ἥμισυ | 1 | w | 44 |
| ἐφʼ | 1 | w | 47 |
| ἑαυτό | 1 | w | 52 |
| γίνονται | 1 | w | 61 |
| λϚ | 1 | w | 63 |
| καὶ | 2 | w | 67 |
| τὴν | 2 | w | 70 |
| κάθετον | 1 | w | 77 |
| ἐφʼ | 2 | w | 81 |
| ἑαυτά | 1 | w | 86 |
| γίνονται | 2 | w | 95 |
| πα | 1 | w | 97 |
| ὁμοῦ | 1 | w | 102 |
| γίνονται | 3 | w | 110 |
| ριζ | 1 | w | 113 |
| ταῦτα | 1 | w | 119 |
| τετράκις | 1 | w | 127 |
| γίνονται | 4 | w | 136 |
| υξη | 1 | w | 139 |
| ταῦτα | 2 | w | 145 |
| ἑνδεκάκις | 1 | w | 154 |
| γίνονται | 5 | w | 163 |
| ερμη | 1 | w | 167 |
| τούτων | 1 | w | 174 |
| τὸ | 2 | w | 176 |
| ιδʹ | 1 | w | 179 |
| τξζ | 1 | w | 183 |
| U | 1 | w | 184 |
| 2220 | 1 | w | 188 |
| τοσοῦτον | 1 | w | 197 |
| ἡ | 1 | w | 198 |
| ἐπιφάνεια | 2 | w | 207 |
| τοῦ | 2 | w | 210 |
| μείζονος | 1 | w | 218 |
| τμήματος | 1 | w | 226 |
| τοῦ | 3 | w | 229 |
| ἡμισφαιρίου | 1 | w | 240 |
| Σφαίρας | 1 | w | 248 |
| ἔσται | 1 | w | 253 |
| ἡ | 3 | w | 254 |
| διάμετρος | 1 | w | 263 |
| δ | 4 | w | 264 |
| εὑρεῖν | 1 | w | 271 |
| αὐτῆς | 1 | w | 276 |
| τὸ | 3 | w | 278 |
| στερεὸν | 1 | w | 285 |
| ἀπὸ | 1 | w | 288 |
| τοῦ | 4 | w | 291 |
| κυλίνδρου | 1 | w | 300 |
| ποιῶ | 1 | w | 305 |
| οὕτως | 1 | w | 310 |
| ἐν | 1 | w | 313 |
| τῇ | 1 | w | 315 |
| βάσει | 1 | w | 320 |
| μέτρει | 1 | w | 326 |
| κύκλον | 1 | w | 332 |
| ἀπὸ | 2 | w | 335 |
| τῆς | 3 | w | 338 |
| διαμέτρου | 1 | w | 347 |
| τὸ | 4 | w | 350 |
| ἐμβαδὸν | 1 | w | 357 |
| εὑρήσομεν | 1 | w | 366 |
| οὕτως | 2 | w | 371 |
| ποιοῦμεν | 1 | w | 380 |
| τὴν | 3 | w | 383 |
| διάμετρον | 1 | w | 392 |
| τὰ | 1 | w | 395 |
| δ | 9 | w | 396 |
| ἐφʼ | 3 | w | 400 |
| ἑαυτά | 2 | w | 405 |
| γίνονται | 6 | w | 414 |
| ιϚ | 1 | w | 416 |
| ταῦτα | 3 | w | 421 |
| ἑνδεκάκις | 2 | w | 430 |
| γίνονται | 7 | w | 439 |
| ρο | 5 | w | 441 |
| τούτων | 2 | w | 447 |
| τὸ | 5 | w | 449 |
| ιδʹ | 2 | w | 452 |
| γίνονται | 8 | w | 461 |
| ιβ | 1 | w | 463 |
| U | 2 | w | 464 |
| 2220 | 2 | w | 468 |
| ιδ | 3 | w | 470 |
| τοσοῦτον | 2 | w | 479 |
| τὸ | 6 | w | 481 |
| ἐμβαδόν | 1 | w | 488 |
| ταῦτα | 4 | w | 494 |
| ποίει | 1 | w | 499 |
| ἐπὶ | 1 | w | 502 |
| τὴν | 4 | w | 505 |
| διάμετρον | 2 | w | 514 |
| ἐπὶ | 2 | w | 518 |
| τὰ | 2 | w | 520 |
| δ | 15 | w | 521 |
| τὰ | 3 | w | 524 |
| γὰρ | 1 | w | 527 |
| ἐστὶ | 1 | w | 531 |
| τὸ | 7 | w | 533 |
| ὕψος | 1 | w | 537 |
| τοῦ | 5 | w | 540 |
| περιλαμβάνοντος | 1 | w | 555 |
| κυλίνδρου | 2 | w | 564 |
| τὴν | 5 | w | 567 |
| σφαῖραν | 1 | w | 574 |
| δύο | 1 | w | 578 |
| ὄντων | 1 | w | 583 |
| διαμέτρων | 1 | w | 592 |
| τῆς | 4 | w | 595 |
| σφαίρας | 1 | w | 602 |
| καὶ | 3 | w | 605 |
| τοῦ | 6 | w | 608 |
| κυλίνδρου | 3 | w | 617 |
| ἐποίησα | 1 | w | 625 |
| οὖν | 1 | w | 628 |
| τὰ | 4 | w | 630 |
| δ | 20 | w | 631 |
| ἐπὶ | 3 | w | 634 |
| τὸ | 8 | w | 636 |
| ἐμβαδόν | 2 | w | 643 |
| ἐπὶ | 4 | w | 647 |
| τὰ | 5 | w | 649 |
| ιβ | 2 | w | 651 |
| U | 3 | w | 652 |
| 2220 | 3 | w | 656 |
| ιδʹ | 3 | w | 659 |
| γίνονται | 9 | w | 668 |
| ν | 57 | w | 669 |
| καὶ | 4 | w | 672 |
| δύο | 2 | w | 675 |
| ἕβδομα | 1 | w | 681 |
| τοσοῦτον | 3 | w | 690 |
| ὁ | 2 | w | 691 |
| 48 | 1 | w | 693 |
| Cf | 1 | w | 695 |
| Mens | 1 | w | 700 |
| 47 | 1 | w | 703 |
| unde | 1 | w | 707 |
| initium | 1 | w | 714 |
| supplevi | 1 | w | 722 |
| 50 | 1 | w | 726 |
| Cf | 2 | w | 729 |
| Ster | 1 | w | 734 |
| l | 2 | w | 736 |
| 9 | 1 | w | 738 |
| 4 | 3 | w | 740 |
| ρη | 1 | w | 742 |
| om | 1 | w | 744 |
| A | 1 | w | 746 |
| 7 | 2 | w | 748 |
| A | 2 | w | 749 |
| 13 | 1 | w | 752 |
| τξζ | 2 | w | 755 |
| U | 4 | w | 756 |
| 2220 | 4 | w | 760 |
| Addendum | 1 | w | 769 |
| erat | 1 | w | 773 |
| ζ | 5 | w | 774 |
| κη | 1 | w | 776 |
| 16 | 1 | w | 779 |
| ἀπὸ | 3 | w | 782 |
| addidi | 1 | w | 788 |
| 17 | 1 | w | 791 |
| μέτρει | 2 | w | 797 |
| scripsi | 1 | w | 804 |
| μείζονα | 1 | w | 812 |
| A | 4 | w | 813 |
| τῆς | 5 | w | 817 |
| διαμέτρου | 2 | w | 826 |
| scripsi | 2 | w | 833 |
| τοῦ | 7 | w | 837 |
| ἐμβαδοῦ | 1 | w | 844 |
| A | 5 | w | 845 |
| 21 | 1 | w | 848 |
| τὰ | 6 | w | 850 |
| δ | 27 | w | 851 |
| τὰ | 7 | w | 854 |
| ιδ | 5 | w | 856 |
| A | 6 | w | 857 |
| 23 | 1 | w | 860 |
| καὶ | 5 | w | 863 |
| addidi | 2 | w | 869 |
| 25 | 1 | w | 872 |
| ἕβδομον | 1 | w | 879 |
| A | 7 | w | 880 |
| κύλινδρος | 1 | w | 890 |
| ὅσον | 1 | w | 895 |
| ἡ | 4 | w | 896 |
| ἐπιφάνεια | 3 | w | 905 |
| τῆς | 6 | w | 908 |
| σφαίρας | 2 | w | 915 |
| δέδειχε | 1 | w | 923 |
| δὲ | 1 | w | 925 |
| Ἀρχιμήδης | 1 | w | 934 |
| ὅτι | 1 | w | 937 |
| κύλινδρος | 2 | w | 946 |
| ὁ | 3 | w | 947 |
| περιλαμβάνων | 1 | w | 959 |
| τὴν | 6 | w | 962 |
| σφαῖραν | 2 | w | 969 |
| ἡμιόλιός | 1 | w | 977 |
| ἐστι | 1 | w | 981 |
| τῆς | 7 | w | 984 |
| σφαίρας | 3 | w | 991 |
| εἰ | 1 | w | 994 |
| οὖν | 2 | w | 997 |
| U | 5 | w | 998 |
| 2220 | 5 | w | 1002 |
| πρόσθεμα | 1 | w | 1010 |
| γʹ | 1 | w | 1013 |
| ἀφαίρεμα | 1 | w | 1021 |
| ἀφαιρῶ | 1 | w | 1028 |
| οὖν | 3 | w | 1031 |
| τοῦ | 8 | w | 1034 |
| κυλίνδρου | 4 | w | 1043 |
| ὅ | 3 | w | 1045 |
| ἐστιν | 1 | w | 1050 |
| ἐπιφάνεια | 4 | w | 1059 |
| τῆς | 8 | w | 1062 |
| σφαίρας | 4 | w | 1069 |
| τῶν | 1 | w | 1073 |
| καὶ | 6 | w | 1076 |
| β | 13 | w | 1077 |
| ἑβδόμων | 1 | w | 1084 |
| τὸ | 9 | w | 1086 |
| γʹ | 2 | w | 1088 |
| καταλείπεται | 1 | w | 1101 |
| λγ | 1 | w | 1103 |
| γ | 14 | w | 1104 |
| ζ | 7 | w | 1105 |
| κα | 8 | w | 1107 |
| τοσοῦτον | 4 | w | 1116 |
| τὸ | 10 | w | 1118 |
| στερεὸν | 2 | w | 1125 |
| τῆς | 9 | w | 1128 |
| σφαίρας | 5 | w | 1135 |
| ἐὰν | 1 | w | 1139 |
| δὲ | 2 | w | 1141 |
| τὸ | 11 | w | 1143 |
| λάβωμεν | 1 | w | 1152 |
| τῶν | 2 | w | 1155 |
| ν | 81 | w | 1156 |
| καὶ | 7 | w | 1159 |
| δύο | 3 | w | 1162 |
| ἑβδόμων | 2 | w | 1169 |
| γίνονται | 10 | w | 1178 |
| ὁμοίως | 1 | w | 1184 |
| λγ | 2 | w | 1186 |
| γʹ | 3 | w | 1188 |
| ζʹ | 1 | w | 1190 |
| κα | 10 | w | 1192 |
| ἔσται | 2 | w | 1198 |
| ἄρα | 1 | w | 1201 |
| ἡ | 6 | w | 1202 |
| μὲν | 1 | w | 1205 |
| ἐπιφάνεια | 5 | w | 1214 |
| τῆς | 10 | w | 1217 |
| σφαίρας | 6 | w | 1224 |
| ν | 87 | w | 1225 |
| καὶ | 8 | w | 1228 |
| δύο | 4 | w | 1231 |
| ἑβδόμων | 3 | w | 1238 |
| τὸ | 12 | w | 1241 |
| δὲ | 3 | w | 1243 |
| στερεὸν | 3 | w | 1250 |
| λγ | 3 | w | 1252 |
| γ | 19 | w | 1253 |
| ζ | 9 | w | 1254 |
| κα | 12 | w | 1256 |