| Refs | {'start': {'reference': '2.7', 'human_reference': 'Book 2 Chapter 7'}} |
|---|---|
| Ancestors | [{'reference': '2'}] |
| Children | [] |
| ζ | 1 | w | 1 |
| Τὸ | 1 | w | 4 |
| ὀρθὸν | 1 | w | 9 |
| τμᾶμα | 1 | w | 14 |
| τοῦ | 1 | w | 17 |
| ὀρθογωνίου | 1 | w | 27 |
| κωνοειδέος | 1 | w | 37 |
| ὅταν | 1 | w | 42 |
| τοῦ | 2 | w | 45 |
| ὑγροῦ | 1 | w | 50 |
| κουφότερον | 1 | w | 60 |
| ᾖ | 1 | w | 61 |
| καὶ | 1 | w | 64 |
| τὸν | 1 | w | 67 |
| ἄξονα | 1 | w | 72 |
| ἔχῃ | 1 | w | 75 |
| μείζονα | 1 | w | 82 |
| μὲν | 1 | w | 85 |
| ἢ | 1 | w | 86 |
| ἡμιόλιον | 1 | w | 94 |
| τᾶς | 1 | w | 97 |
| μέχρι | 1 | w | 102 |
| τοῦ | 3 | w | 105 |
| ἄξονος | 1 | w | 111 |
| ἐλάσσονα | 1 | w | 120 |
| δὲ | 1 | w | 122 |
| ἢ | 2 | w | 123 |
| ὥστε | 1 | w | 127 |
| λόγον | 1 | w | 132 |
| ἔχειν | 1 | w | 137 |
| ποτὶ | 1 | w | 141 |
| τὰν | 1 | w | 144 |
| μέχρι | 2 | w | 149 |
| τοῦ | 4 | w | 152 |
| ἄξονος | 2 | w | 158 |
| ὃν | 1 | w | 161 |
| τὰ | 2 | w | 163 |
| ιε | 1 | w | 165 |
| ποτὶ | 2 | w | 169 |
| δ | 3 | w | 170 |
| ἀφεθὲν | 1 | w | 177 |
| εἰς | 1 | w | 180 |
| τὸ | 2 | w | 182 |
| ὑγρὸν | 1 | w | 187 |
| οὕτως | 1 | w | 192 |
| ὥστε | 2 | w | 196 |
| τὰν | 2 | w | 199 |
| βάσιν | 1 | w | 204 |
| ὅλαν | 1 | w | 208 |
| εἶμεν | 1 | w | 213 |
| ἐν | 1 | w | 215 |
| τῷ | 1 | w | 217 |
| ὑγρῷ | 1 | w | 221 |
| οὐδέποτε | 1 | w | 230 |
| καταστασεῖται | 1 | w | 243 |
| οὕτως | 2 | w | 248 |
| ὥστε | 3 | w | 253 |
| τὰν | 3 | w | 256 |
| βάσιν | 2 | w | 261 |
| αὐτοῦ | 1 | w | 266 |
| ἅπτεσθαι | 1 | w | 274 |
| τᾶς | 2 | w | 277 |
| τοῦ | 6 | w | 280 |
| ὑγροῦ | 2 | w | 285 |
| ἐπιφανείας | 1 | w | 295 |
| ἀλλʼ | 1 | w | 300 |
| ὥστε | 4 | w | 304 |
| ὅλαν | 2 | w | 308 |
| εἶμεν | 2 | w | 313 |
| ἐν | 2 | w | 315 |
| τῷ | 2 | w | 317 |
| ὑγρῷ | 2 | w | 321 |
| μηδὲ | 1 | w | 325 |
| καθʼ | 1 | w | 329 |
| ἓν | 1 | w | 331 |
| σαμεῖον | 1 | w | 338 |
| ἁπτομέναν | 1 | w | 347 |
| τᾶς | 3 | w | 350 |
| ἐπιφανείας | 2 | w | 360 |
| Ἔστω | 1 | w | 365 |
| τμᾶμα | 2 | w | 370 |
| οἷον | 1 | w | 374 |
| εἴρηται | 1 | w | 381 |
| καὶ | 2 | w | 385 |
| ἀφεθὲν | 2 | w | 391 |
| ἐς | 1 | w | 393 |
| τὸ | 3 | w | 395 |
| ὑγρὸν | 2 | w | 400 |
| καθάπερ | 1 | w | 407 |
| ἐρρέθη | 1 | w | 413 |
| καθεστακέτω | 1 | w | 424 |
| οὕτως | 3 | w | 429 |
| ὥστε | 5 | w | 434 |
| τὰν | 4 | w | 437 |
| βάσιν | 3 | w | 442 |
| αὐτοῦ | 2 | w | 447 |
| ἅπτεσθαι | 2 | w | 455 |
| τᾶς | 4 | w | 458 |
| τοῦ | 8 | w | 461 |
| ὑγροῦ | 3 | w | 466 |
| ἐπιφανείας | 3 | w | 476 |
| Δεικτέον | 1 | w | 485 |
| ὅτι | 1 | w | 488 |
| οὐ | 2 | w | 490 |
| μενεῖ | 1 | w | 495 |
| ἀλλὰ | 1 | w | 500 |
| ἀνακλιθήσεται | 1 | w | 513 |
| οὕτως | 4 | w | 518 |
| ὥστε | 6 | w | 523 |
| τὰν | 5 | w | 526 |
| βάσιν | 4 | w | 531 |
| αὐτοῦ | 3 | w | 536 |
| μηδὲ | 2 | w | 540 |
| καθʼ | 2 | w | 544 |
| ἓν | 2 | w | 546 |
| ἅπτεσθαι | 3 | w | 554 |
| τᾶς | 5 | w | 557 |
| τοῦ | 10 | w | 560 |
| ὑγροῦ | 4 | w | 565 |
| ἐπιφανείας | 4 | w | 575 |
| Τμαθέντος | 1 | w | 585 |
| γὰρ | 1 | w | 588 |
| αὐτοῦ | 4 | w | 593 |
| ἐπιπέδῳ | 1 | w | 600 |
| ὀρθῷ | 1 | w | 604 |
| ποτὶ | 3 | w | 608 |
| τὰν | 6 | w | 611 |
| τοῦ | 12 | w | 614 |
| ὑγροῦ | 5 | w | 619 |
| ἐπιφάνειαν | 1 | w | 629 |
| τομὰ | 1 | w | 633 |
| ἔστω | 1 | w | 637 |
| ἁ | 2 | w | 638 |
| ΑΠΟΛ | 1 | w | 642 |
| ὀρθογωνίου | 2 | w | 652 |
| κώνου | 1 | w | 657 |
| τομά | 1 | w | 661 |
| ἔστω | 2 | w | 666 |
| δὲ | 4 | w | 668 |
| καὶ | 3 | w | 671 |
| τᾶς | 6 | w | 674 |
| τοῦ | 13 | w | 677 |
| ὑγροῦ | 6 | w | 682 |
| ἐπιφανείας | 5 | w | 692 |
| τομὰ | 2 | w | 696 |
| ἁ | 3 | w | 697 |
| ΣΛ | 1 | w | 699 |
| ἄξων | 1 | w | 704 |
| δὲ | 5 | w | 706 |
| ἔστω | 3 | w | 710 |
| τοῦ | 14 | w | 713 |
| τμάματος | 1 | w | 721 |
| καὶ | 4 | w | 724 |
| διάμετρος | 1 | w | 733 |
| ἁ | 4 | w | 734 |
| ΠΦ | 1 | w | 736 |
| πάλιν | 1 | w | 742 |
| δὲ | 6 | w | 744 |
| τεμνέσθω | 1 | w | 752 |
| ἁ | 5 | w | 753 |
| ΠΦ | 2 | w | 755 |
| κατὰ | 1 | w | 759 |
| μὲν | 2 | w | 762 |
| τὸ | 4 | w | 764 |
| Ρ | 1 | w | 765 |
| ὥστε | 7 | w | 770 |
| διπλασίαν | 1 | w | 779 |
| εἶμεν | 3 | w | 784 |
| τὰν | 7 | w | 787 |
| ΡΠ | 1 | w | 789 |
| τᾶς | 7 | w | 792 |
| ΡΦ | 1 | w | 794 |
| κατὰ | 2 | w | 799 |
| δὲ | 7 | w | 801 |
| τὸ | 5 | w | 803 |
| Ω | 1 | w | 804 |
| ὥστε | 8 | w | 809 |
| τὰν | 8 | w | 812 |
| ΠΦ | 3 | w | 814 |
| ποτὶ | 4 | w | 818 |
| τὰν | 9 | w | 821 |
| ΡΩ | 1 | w | 823 |
| λόγον | 2 | w | 828 |
| ἔχειν | 2 | w | 833 |
| ὃν | 2 | w | 835 |
| τὰ | 13 | w | 837 |
| τε | 15 | w | 839 |
| ποτὶ | 5 | w | 843 |
| τὰ | 14 | w | 845 |
| δ | 14 | w | 846 |
| καὶ | 5 | w | 850 |
| ἁ | 6 | w | 851 |
| ΩΚ | 1 | w | 853 |
| ὀρθὰ | 1 | w | 857 |
| ἄχθω | 1 | w | 861 |
| τᾷ | 1 | w | 863 |
| ΠΦ | 4 | w | 865 |
| ἐσσεῖται | 1 | w | 873 |
| δὴ | 1 | w | 875 |
| ἐλάσσων | 1 | w | 882 |
| ἁ | 7 | w | 883 |
| ΡΩ | 2 | w | 885 |
| τᾶς | 8 | w | 888 |
| μέχρι | 3 | w | 893 |
| τοῦ | 15 | w | 896 |
| ἄξονος | 3 | w | 902 |
| Ἀπολελάφθω | 1 | w | 913 |
| οὖν | 1 | w | 916 |
| τᾷ | 2 | w | 918 |
| μέχρι | 4 | w | 923 |
| τοῦ | 16 | w | 926 |
| ἄξονος | 4 | w | 932 |
| ἴσα | 1 | w | 935 |
| ἁ | 8 | w | 936 |
| ΡΗ | 1 | w | 938 |
| καὶ | 6 | w | 942 |
| ἁ | 9 | w | 943 |
| μὲν | 3 | w | 946 |
| ΤΟ | 1 | w | 948 |
| ἄχθω | 2 | w | 952 |
| ἐφαπτομένα | 1 | w | 962 |
| τᾶς | 9 | w | 965 |
| τομᾶς | 1 | w | 970 |
| κατὰ | 3 | w | 974 |
| τὸ | 6 | w | 976 |
| Ο | 3 | w | 977 |
| παράλληλος | 1 | w | 987 |
| ἐοῦσα | 1 | w | 992 |
| τᾷ | 3 | w | 994 |
| ΣΛ | 2 | w | 996 |
| ἁ | 10 | w | 998 |
| δὲ | 8 | w | 1000 |
| ΝΟ | 1 | w | 1002 |
| τᾷ | 4 | w | 1004 |
| ΠΦ | 5 | w | 1006 |
| τεμνέτω | 1 | w | 1014 |
| δὲ | 9 | w | 1016 |
| ἁ | 11 | w | 1017 |
| ΝΟ | 2 | w | 1019 |
| τὰν | 10 | w | 1022 |
| ΚΩ | 1 | w | 1024 |
| πρότερον | 1 | w | 1032 |
| κατὰ | 4 | w | 1036 |
| τὸ | 7 | w | 1038 |
| Ι | 1 | w | 1039 |
| Ὁμοίως | 1 | w | 1046 |
| δὴ | 2 | w | 1048 |
| τῷ | 3 | w | 1050 |
| πρὸ | 1 | w | 1053 |
| τούτου | 1 | w | 1059 |
| δειχθήσεται | 1 | w | 1070 |
| ὅτι | 2 | w | 1073 |
| ἁ | 12 | w | 1074 |
| ΝΟ | 3 | w | 1076 |
| ἤτοι | 1 | w | 1080 |
| ἡμιολία | 1 | w | 1087 |
| τᾶς | 10 | w | 1090 |
| ΟΙ | 1 | w | 1092 |
| ἢ | 3 | w | 1093 |
| μείζων | 1 | w | 1099 |
| ἢ | 4 | w | 1100 |
| ἡμιολία | 2 | w | 1107 |
| γίνεται | 1 | w | 1114 |
| δὴ | 3 | w | 1116 |
| ἁ | 13 | w | 1117 |
| ΟΙ | 2 | w | 1119 |
| τᾶς | 11 | w | 1122 |
| ΙΝ | 1 | w | 1124 |
| ἐλάσσων | 2 | w | 1131 |
| ἢ | 5 | w | 1132 |
| διπλασία | 2 | w | 1140 |
| Ἔστω | 2 | w | 1145 |
| δὴ | 4 | w | 1147 |
| ἁ | 14 | w | 1148 |
| ΟΒ | 1 | w | 1150 |
| διπλασία | 3 | w | 1158 |
| τᾶς | 12 | w | 1161 |
| ΒΝ | 1 | w | 1163 |
| καὶ | 7 | w | 1167 |
| κατεσκευάσθω | 1 | w | 1179 |
| τὰ | 18 | w | 1181 |
| αὐτά | 1 | w | 1185 |
| ὁμοίως | 1 | w | 1191 |
| δὴ | 5 | w | 1193 |
| δειχθήσεται | 2 | w | 1204 |
| ἁ | 15 | w | 1205 |
| ΡΘ | 1 | w | 1207 |
| ὀρθὰς | 1 | w | 1212 |
| γωνίας | 1 | w | 1218 |
| ποιοῦσα | 1 | w | 1225 |
| ποτὶ | 6 | w | 1229 |
| τὰν | 11 | w | 1232 |
| TΟ | 1 | w | 1234 |
| καὶ | 8 | w | 1237 |
| ποτὶ | 7 | w | 1241 |
| τὰν | 12 | w | 1244 |
| τοῦ | 17 | w | 1247 |
| ὑγροῦ | 7 | w | 1252 |
| ἐπιφάνειαν | 2 | w | 1262 |
| καὶ | 9 | w | 1266 |
| ἀπὸ | 1 | w | 1269 |
| τῶν | 1 | w | 1272 |
| Β | 3 | w | 1273 |
| Γ | 1 | w | 1275 |
| ἀχθεῖσαι | 1 | w | 1283 |
| παρὰ | 1 | w | 1287 |
| τὰν | 13 | w | 1290 |
| ΡΘ | 2 | w | 1292 |
| κάθετοι | 1 | w | 1299 |
| ἐσσοῦνται | 1 | w | 1308 |
| ἐπὶ | 1 | w | 1311 |
| τὰν | 14 | w | 1314 |
| τοῦ | 18 | w | 1317 |
| ὑγροῦ | 8 | w | 1322 |
| ἐπιφάνειαν | 3 | w | 1332 |
| Κατενεχθήσεται | 1 | w | 1347 |
| οὖν | 2 | w | 1350 |
| τὸ | 8 | w | 1352 |
| μὲν | 4 | w | 1355 |
| ἐκτὸς | 1 | w | 1360 |
| τοῦ | 19 | w | 1363 |
| ὑγροῦ | 9 | w | 1368 |
| τμᾶμα | 3 | w | 1373 |
| εἰς | 2 | w | 1376 |
| τὸ | 10 | w | 1378 |
| ὑγρὸν | 3 | w | 1383 |
| κατὰ | 5 | w | 1387 |
| τὰν | 15 | w | 1390 |
| διὰ | 1 | w | 1393 |
| τοῦ | 20 | w | 1396 |
| Β | 4 | w | 1397 |
| κάθετον | 1 | w | 1404 |
| τὸ | 11 | w | 1407 |
| δʼ | 1 | w | 1409 |
| ἐν | 3 | w | 1411 |
| τῷ | 4 | w | 1413 |
| ὑγρῷ | 3 | w | 1417 |
| ἀνενεχθήσεται | 1 | w | 1430 |
| κατὰ | 6 | w | 1434 |
| τὰν | 16 | w | 1437 |
| διὰ | 2 | w | 1440 |
| τοῦ | 21 | w | 1443 |
| Γ | 2 | w | 1444 |
| φανερὸν | 1 | w | 1452 |
| οὖν | 3 | w | 1455 |
| ὅτι | 3 | w | 1458 |
| ἐπικλιθήσεται | 1 | w | 1471 |
| τὸ | 12 | w | 1473 |
| στερεόν | 1 | w | 1480 |
| ὥστε | 9 | w | 1485 |
| τὰν | 17 | w | 1488 |
| βάσιν | 5 | w | 1493 |
| αὐτοῦ | 5 | w | 1498 |
| μηδὲ | 3 | w | 1502 |
| καθʼ | 3 | w | 1506 |
| ἓν | 3 | w | 1508 |
| ἅπτεσθαι | 4 | w | 1516 |
| τᾶς | 13 | w | 1519 |
| τοῦ | 23 | w | 1522 |
| ὑγροῦ | 10 | w | 1527 |
| ἐπιφανείας | 6 | w | 1537 |
| ἐπειδὴ | 1 | w | 1544 |
| νῦν | 1 | w | 1547 |
| καθʼ | 4 | w | 1551 |
| ἓν | 4 | w | 1553 |
| σαμεῖον | 2 | w | 1560 |
| ἁπτόμενον | 1 | w | 1569 |
| ἐπὶ | 2 | w | 1572 |
| τὸ | 13 | w | 1574 |
| κάτω | 1 | w | 1578 |
| φέρε | 1 | w | 1582 |
| ται | 12 | w | 1585 |
| ἐπὶ | 3 | w | 1588 |
| τὰ | 28 | w | 1590 |
| αὐτὰ | 1 | w | 1594 |
| τῷ | 5 | w | 1596 |
| Λ | 4 | w | 1597 |
| Φανερὸν | 1 | w | 1605 |
| δὲ | 11 | w | 1607 |
| ὅτι | 4 | w | 1610 |
| κἂν | 1 | w | 1614 |
| ἁ | 17 | w | 1615 |
| ΟΝ | 1 | w | 1617 |
| μὴ | 1 | w | 1619 |
| τέμνῃ | 1 | w | 1624 |
| τὰν | 18 | w | 1627 |
| ΩΚ | 2 | w | 1629 |
| ταὐτὰ | 1 | w | 1635 |
| δειχθήσεται | 3 | w | 1646 |