| Refs | {'start': {'reference': '1.3', 'human_reference': 'Book 1 Chapter 3'}} |
|---|---|
| Ancestors | [{'reference': '1'}] |
| Children | [] |
| γ | 1 | w | 1 |
| Τῶν | 1 | w | 5 |
| στερεῶν | 1 | w | 12 |
| μεγεθέων | 1 | w | 20 |
| τὰ | 1 | w | 22 |
| ἰσοβαρέοντα | 1 | w | 33 |
| τῷ | 1 | w | 35 |
| ὑγρῷ | 1 | w | 39 |
| ἀφεθέντα | 1 | w | 47 |
| εἰς | 1 | w | 50 |
| τὸ | 1 | w | 52 |
| ὑγρὸν | 1 | w | 57 |
| καταβασοῦνται | 1 | w | 70 |
| ὥστε | 1 | w | 75 |
| τᾶς | 1 | w | 78 |
| ἐπιφανείας | 1 | w | 88 |
| τᾶς | 2 | w | 91 |
| τοῦ | 1 | w | 94 |
| ὑγροῦ | 1 | w | 99 |
| μὴ | 1 | w | 101 |
| ὑπερέχειν | 1 | w | 110 |
| μηδέν | 1 | w | 115 |
| καὶ | 1 | w | 119 |
| οὐκέτι | 1 | w | 125 |
| οἰσθήσονται | 1 | w | 136 |
| ἐπὶ | 1 | w | 139 |
| τὸ | 2 | w | 141 |
| κάτω | 1 | w | 145 |
| Ἀφείσθω | 1 | w | 153 |
| γάρ | 1 | w | 156 |
| τι | 2 | w | 158 |
| στερεὸν | 1 | w | 165 |
| μέγεθος | 1 | w | 172 |
| εἰς | 2 | w | 175 |
| τὸ | 3 | w | 177 |
| ὑγρὸν | 2 | w | 182 |
| τῶν | 1 | w | 185 |
| ἰσοβαρέων | 1 | w | 194 |
| τῷ | 2 | w | 196 |
| ὑγρῷ | 2 | w | 200 |
| καί | 1 | w | 203 |
| εἰ | 3 | w | 206 |
| δυνατόν | 1 | w | 213 |
| ὑπερεχέτω | 1 | w | 223 |
| τι | 3 | w | 225 |
| αὐτοῦ | 1 | w | 230 |
| τᾶς | 3 | w | 233 |
| τοῦ | 3 | w | 236 |
| ὑγροῦ | 2 | w | 241 |
| ἐπιφανείας | 2 | w | 251 |
| καθεστάτω | 1 | w | 261 |
| δὲ | 1 | w | 263 |
| τὸ | 4 | w | 265 |
| ὑγρόν | 1 | w | 270 |
| ὥστε | 2 | w | 275 |
| μένειν | 1 | w | 281 |
| ἀκίνητον | 1 | w | 289 |
| Νοείσθω | 1 | w | 297 |
| δή | 1 | w | 299 |
| τι | 4 | w | 301 |
| ἐπίπεδον | 1 | w | 309 |
| ἐκβεβλημένον | 1 | w | 321 |
| διά | 1 | w | 324 |
| τε | 5 | w | 326 |
| τοῦ | 4 | w | 329 |
| κέντρου | 1 | w | 336 |
| τᾶς | 4 | w | 339 |
| γᾶς | 1 | w | 342 |
| καὶ | 2 | w | 345 |
| τοῦ | 5 | w | 348 |
| ὑγροῦ | 3 | w | 353 |
| καὶ | 3 | w | 356 |
| διὰ | 1 | w | 359 |
| τοῦ | 6 | w | 362 |
| στερεοῦ | 1 | w | 369 |
| μεγέθεος | 1 | w | 377 |
| τομὰ | 1 | w | 382 |
| δὲ | 2 | w | 384 |
| ἔστω | 1 | w | 388 |
| τᾶς | 5 | w | 391 |
| μὲν | 1 | w | 394 |
| ἐπιφανείας | 3 | w | 404 |
| τοῦ | 7 | w | 407 |
| ὑγροῦ | 4 | w | 412 |
| ἁ | 1 | w | 413 |
| ΑΒΓ | 1 | w | 416 |
| περιφέρεια | 1 | w | 426 |
| τοῦ | 8 | w | 430 |
| δὲ | 3 | w | 432 |
| στερεοῦ | 2 | w | 439 |
| μεγέθεος | 2 | w | 447 |
| τὸ | 5 | w | 449 |
| ΕΖΗΘ | 1 | w | 453 |
| σχῆμα | 1 | w | 458 |
| κέντρον | 1 | w | 466 |
| δὲ | 4 | w | 468 |
| τᾶς | 6 | w | 471 |
| γᾶς | 2 | w | 474 |
| τὸ | 6 | w | 476 |
| Κ | 1 | w | 477 |
| Ἔστω | 1 | w | 482 |
| δὴ | 1 | w | 484 |
| τοῦ | 9 | w | 487 |
| μὲν | 2 | w | 490 |
| στερεοῦ | 3 | w | 497 |
| τὸ | 7 | w | 499 |
| μὲν | 3 | w | 502 |
| ΒΓΗΘ | 1 | w | 506 |
| ἐν | 1 | w | 508 |
| τῷ | 3 | w | 510 |
| ὑγρῷ | 3 | w | 514 |
| τὸ | 8 | w | 517 |
| δὲ | 5 | w | 519 |
| ΒΕΖΓ | 1 | w | 523 |
| ἐκτός | 1 | w | 528 |
| Νοείσθω | 2 | w | 536 |
| δὴ | 2 | w | 538 |
| τὸ | 9 | w | 540 |
| στερεὸν | 2 | w | 547 |
| σχῆμα | 2 | w | 552 |
| περιλαμβανόμενον | 1 | w | 568 |
| πυραμοειδεῖ | 1 | w | 579 |
| βάσιν | 1 | w | 584 |
| μὲν | 4 | w | 587 |
| ἔχοντι | 1 | w | 593 |
| τὸ | 10 | w | 595 |
| παραλληλόγραμμον | 1 | w | 611 |
| τὸ | 11 | w | 613 |
| ἐν | 2 | w | 615 |
| τᾷ | 1 | w | 617 |
| ἐπιφανείᾳ | 1 | w | 626 |
| τοῦ | 10 | w | 629 |
| ὑγροῦ | 5 | w | 634 |
| κορυφὰν | 1 | w | 642 |
| δὲ | 6 | w | 644 |
| τὸ | 12 | w | 646 |
| κέντρον | 2 | w | 653 |
| τᾶς | 7 | w | 656 |
| γᾶς | 3 | w | 659 |
| τομὰ | 2 | w | 664 |
| δὲ | 7 | w | 666 |
| ἔστω | 2 | w | 670 |
| τοῦ | 11 | w | 673 |
| τε | 10 | w | 675 |
| ἐπιπ | 1 | w | 679 |
| έδου | 1 | w | 683 |
| ἐν | 3 | w | 686 |
| ᾧ | 1 | w | 687 |
| ἐστιν | 1 | w | 692 |
| ἁ | 2 | w | 693 |
| ΑΒΓ | 2 | w | 696 |
| περιφέρεια | 2 | w | 706 |
| καὶ | 4 | w | 710 |
| τῶν | 2 | w | 713 |
| τᾶς | 8 | w | 716 |
| πυραμίδος | 1 | w | 725 |
| ἐπιπέδων | 1 | w | 733 |
| αἱ | 1 | w | 735 |
| ΚΛ | 1 | w | 737 |
| ΚΜ | 1 | w | 740 |
| Γεγράφθω | 1 | w | 749 |
| τις | 1 | w | 752 |
| ἄλλας | 1 | w | 757 |
| σφαίρας | 1 | w | 764 |
| ἐπιφάνεια | 1 | w | 773 |
| περὶ | 1 | w | 777 |
| κέντρον | 3 | w | 784 |
| τὸ | 13 | w | 786 |
| Κ | 4 | w | 787 |
| ἐν | 4 | w | 789 |
| τῷ | 4 | w | 791 |
| ὑγρῷ | 4 | w | 795 |
| τῷ | 5 | w | 797 |
| ὑπὸ | 1 | w | 800 |
| τοῦ | 12 | w | 803 |
| ΕΖΗΘ | 2 | w | 807 |
| καὶ | 5 | w | 810 |
| τεμνέσθω | 1 | w | 818 |
| ἐπιπέδῳ | 1 | w | 825 |
| λελάφθω | 1 | w | 833 |
| δέ | 2 | w | 835 |
| τις | 2 | w | 838 |
| καὶ | 6 | w | 841 |
| ἄλλα | 2 | w | 845 |
| πυραμὶς | 1 | w | 852 |
| ἴσα | 1 | w | 855 |
| καὶ | 7 | w | 858 |
| ὁμοία | 1 | w | 863 |
| τᾷ | 2 | w | 865 |
| περιλαμβανούσᾳ | 1 | w | 879 |
| τὸ | 14 | w | 881 |
| στερεὸν | 3 | w | 888 |
| συνεχὴς | 1 | w | 895 |
| αὐτᾷ | 1 | w | 899 |
| τομὰ | 3 | w | 904 |
| δὲ | 8 | w | 906 |
| ἔστω | 3 | w | 910 |
| τῶν | 3 | w | 913 |
| ἐπιπέδων | 2 | w | 921 |
| αὐτᾶς | 1 | w | 926 |
| αἱ | 2 | w | 928 |
| ΚΜ | 2 | w | 930 |
| ΚΝ | 1 | w | 933 |
| καὶ | 8 | w | 937 |
| ἐν | 5 | w | 939 |
| τῷ | 6 | w | 941 |
| ὑγρῷ | 5 | w | 945 |
| νοείσθω | 1 | w | 952 |
| τι | 9 | w | 954 |
| μέγεθος | 2 | w | 961 |
| τοῦ | 13 | w | 964 |
| ὑγροῦ | 6 | w | 969 |
| ἀπολαμβανόμενον | 1 | w | 984 |
| τὸ | 15 | w | 986 |
| ΡΣΤΥ | 1 | w | 990 |
| ἴσον | 1 | w | 994 |
| καὶ | 9 | w | 997 |
| ὅμοιον | 1 | w | 1003 |
| τῷ | 7 | w | 1005 |
| στερεῷ | 1 | w | 1011 |
| τῷ | 8 | w | 1013 |
| κατὰ | 1 | w | 1017 |
| τὰ | 3 | w | 1019 |
| Β | 5 | w | 1020 |
| Η | 4 | w | 1022 |
| Θ | 4 | w | 1024 |
| Γ | 6 | w | 1026 |
| ὅ | 2 | w | 1028 |
| ἐστιν | 2 | w | 1033 |
| αὐτοῦ | 2 | w | 1038 |
| ἐν | 6 | w | 1040 |
| τῷ | 9 | w | 1042 |
| ὑγρῷ | 6 | w | 1046 |
| τὰ | 4 | w | 1049 |
| δὴ | 3 | w | 1051 |
| μέρεα | 1 | w | 1056 |
| τοῦ | 15 | w | 1059 |
| ὑγροῦ | 7 | w | 1064 |
| τά | 2 | w | 1066 |
| τε | 14 | w | 1068 |
| ἐν | 7 | w | 1070 |
| τᾷ | 4 | w | 1072 |
| πρώτᾳ | 1 | w | 1077 |
| πυραμίδι | 1 | w | 1085 |
| τὰ | 5 | w | 1087 |
| ὑπὸ | 2 | w | 1090 |
| τὰν | 1 | w | 1093 |
| ἐπιφάνειαν | 1 | w | 1103 |
| ἐν | 8 | w | 1106 |
| ᾆ | 1 | w | 1107 |
| ἐστιν | 3 | w | 1112 |
| ἁ | 3 | w | 1113 |
| ΞΟ | 1 | w | 1115 |
| περιφέρεια | 3 | w | 1125 |
| καὶ | 10 | w | 1129 |
| τὰ | 7 | w | 1131 |
| ἐν | 9 | w | 1133 |
| τᾷ | 5 | w | 1135 |
| ἑτέρᾳ | 1 | w | 1140 |
| ἐν | 10 | w | 1143 |
| ᾆ | 2 | w | 1144 |
| ἐστιν | 4 | w | 1149 |
| ἁ | 4 | w | 1150 |
| ΠΟ | 1 | w | 1152 |
| ἐξ | 1 | w | 1155 |
| ἴσου | 1 | w | 1159 |
| τὲ | 1 | w | 1161 |
| ἐντι | 1 | w | 1165 |
| κείμενα | 1 | w | 1172 |
| καὶ | 11 | w | 1175 |
| συνεχέα | 1 | w | 1182 |
| Οὐχ | 1 | w | 1186 |
| ὁμοίως | 1 | w | 1192 |
| δὲ | 9 | w | 1194 |
| θλίβονται | 1 | w | 1203 |
| τὸ | 16 | w | 1206 |
| μὲν | 5 | w | 1209 |
| γὰρ | 1 | w | 1212 |
| κατὰ | 2 | w | 1216 |
| τὰν | 2 | w | 1219 |
| ΞΟ | 2 | w | 1221 |
| θλίβεται | 1 | w | 1229 |
| τῷ | 10 | w | 1231 |
| στερεῷ | 2 | w | 1237 |
| τῷ | 11 | w | 1239 |
| ΘΗΕΖ | 1 | w | 1243 |
| καὶ | 12 | w | 1246 |
| τῷ | 12 | w | 1248 |
| ὑγρῷ | 7 | w | 1252 |
| τῷ | 13 | w | 1254 |
| μεταξὺ | 1 | w | 1260 |
| τᾶν | 1 | w | 1263 |
| ἐπιφανειᾶν | 1 | w | 1273 |
| τᾶν | 2 | w | 1276 |
| κατὰ | 3 | w | 1280 |
| τὰς | 1 | w | 1283 |
| ΞΟ | 3 | w | 1285 |
| ΛΜ | 1 | w | 1288 |
| καὶ | 13 | w | 1291 |
| τῶν | 4 | w | 1294 |
| τᾶς | 10 | w | 1297 |
| πυραμίδος | 2 | w | 1306 |
| ἐπιπέδων | 3 | w | 1314 |
| τὸ | 17 | w | 1317 |
| δὲ | 10 | w | 1319 |
| κατὰ | 4 | w | 1323 |
| τὰν | 3 | w | 1326 |
| ΠΟ | 2 | w | 1328 |
| τῷ | 14 | w | 1330 |
| ὑγρῷ | 8 | w | 1334 |
| τῷ | 15 | w | 1336 |
| μεταξὺ | 2 | w | 1342 |
| τᾶν | 3 | w | 1345 |
| ἐπιφανειᾶν | 2 | w | 1355 |
| τᾶν | 4 | w | 1358 |
| κατὰ | 5 | w | 1362 |
| τὰς | 2 | w | 1365 |
| ΠΟ | 3 | w | 1367 |
| ΜΝ | 1 | w | 1370 |
| καὶ | 14 | w | 1373 |
| τῶν | 5 | w | 1376 |
| τᾶς | 11 | w | 1379 |
| πυραμίδος | 3 | w | 1388 |
| ἐπιπέδων | 4 | w | 1396 |
| Ἔλασσον | 1 | w | 1404 |
| δὲ | 11 | w | 1406 |
| ἐσσεῖται | 1 | w | 1414 |
| τὸ | 18 | w | 1416 |
| βάρος | 1 | w | 1421 |
| τοῦ | 16 | w | 1424 |
| ὑγροῦ | 8 | w | 1429 |
| τοῦ | 17 | w | 1432 |
| κατὰ | 6 | w | 1436 |
| τὰς | 3 | w | 1439 |
| ΜΝ | 2 | w | 1441 |
| ΟΠ | 1 | w | 1444 |
| τὸ | 19 | w | 1447 |
| μὲν | 6 | w | 1450 |
| γὰρ | 2 | w | 1453 |
| κατὰ | 7 | w | 1457 |
| τὸ | 20 | w | 1459 |
| ΡΣΤΥ | 2 | w | 1463 |
| ἔλασσόν | 1 | w | 1470 |
| ἐστι | 5 | w | 1474 |
| τοῦ | 18 | w | 1477 |
| ΕΖΗΘ | 3 | w | 1481 |
| στερεοῦ | 4 | w | 1488 |
| αὐτῷ | 1 | w | 1493 |
| γὰρ | 3 | w | 1496 |
| τῷ | 17 | w | 1498 |
| κατὰ | 8 | w | 1502 |
| τὸ | 21 | w | 1504 |
| ΗΒΓΘ | 1 | w | 1508 |
| ἴσον | 2 | w | 1512 |
| ἐστὶν | 1 | w | 1517 |
| διὰ | 2 | w | 1520 |
| τὸ | 22 | w | 1522 |
| τῷ | 18 | w | 1524 |
| μεγέθει | 1 | w | 1531 |
| ἴσον | 3 | w | 1535 |
| εἶμεν | 1 | w | 1540 |
| καὶ | 15 | w | 1543 |
| ἰσοβαρὲς | 1 | w | 1551 |
| ὑποκεῖσθαι | 1 | w | 1561 |
| τὸ | 23 | w | 1563 |
| στερεὸν | 4 | w | 1570 |
| τῷ | 19 | w | 1572 |
| ὑγρῷ | 9 | w | 1576 |
| τὸ | 24 | w | 1579 |
| δὲ | 12 | w | 1581 |
| λοιπὸν | 1 | w | 1587 |
| τῷ | 20 | w | 1589 |
| λοιπῷ | 1 | w | 1594 |
| ἴσον | 4 | w | 1598 |
| ἐστί | 1 | w | 1602 |
| Δῆλον | 1 | w | 1608 |
| οὖν | 1 | w | 1611 |
| ὅτι | 1 | w | 1614 |
| ἐξωθήσεται | 1 | w | 1624 |
| τὸ | 25 | w | 1626 |
| μέρος | 1 | w | 1631 |
| τὸ | 26 | w | 1633 |
| κατὰ | 9 | w | 1637 |
| τὰν | 4 | w | 1640 |
| ΟΠ | 2 | w | 1642 |
| περιφέρειαν | 1 | w | 1653 |
| ὑπὸ | 3 | w | 1656 |
| τοῦ | 19 | w | 1659 |
| κατὰ | 10 | w | 1663 |
| τὰν | 5 | w | 1666 |
| ΟΞ | 1 | w | 1668 |
| περιφέρειαν | 2 | w | 1679 |
| καὶ | 16 | w | 1683 |
| οὐκ | 2 | w | 1686 |
| ἐσσεῖται | 2 | w | 1694 |
| τὸ | 27 | w | 1696 |
| ὑγρὸν | 3 | w | 1701 |
| ἀκίνητον | 2 | w | 1709 |
| Ὑπόκειται | 1 | w | 1719 |
| δὲ | 13 | w | 1721 |
| ἀκίνητον | 3 | w | 1729 |
| ἐόν | 1 | w | 1732 |
| οὐκ | 3 | w | 1736 |
| ἄρα | 1 | w | 1739 |
| ὑπερέξει | 1 | w | 1747 |
| τᾶς | 12 | w | 1750 |
| τοῦ | 20 | w | 1753 |
| ὑγροῦ | 9 | w | 1758 |
| ἐπιφανείας | 4 | w | 1768 |
| οὐδὲν | 1 | w | 1773 |
| τοῦ | 21 | w | 1776 |
| στερεοῦ | 5 | w | 1783 |
| μεγέθεος | 3 | w | 1791 |
| Καταδὺν | 1 | w | 1799 |
| δὲ | 15 | w | 1801 |
| τὸ | 28 | w | 1803 |
| στερεὸν | 5 | w | 1810 |
| οὐκ | 4 | w | 1813 |
| οἰσθήσεται | 1 | w | 1823 |
| ἐς | 1 | w | 1825 |
| τὰ | 24 | w | 1827 |
| κάτω | 2 | w | 1831 |
| ὁμοίως | 2 | w | 1838 |
| γὰρ | 4 | w | 1841 |
| πάντα | 1 | w | 1846 |
| θλιβησοῦντι | 1 | w | 1857 |
| τὰ | 25 | w | 1859 |
| μέρεα | 2 | w | 1864 |
| τοῦ | 22 | w | 1867 |
| ὑγροῦ | 10 | w | 1872 |
| τὰ | 26 | w | 1874 |
| ἐξ | 3 | w | 1876 |
| ἴσου | 2 | w | 1880 |
| κείμενα | 2 | w | 1887 |
| διὰ | 3 | w | 1890 |
| τὸ | 29 | w | 1892 |
| ἰσοβαρέα | 1 | w | 1900 |
| εἶμεν | 2 | w | 1905 |
| τὸ | 30 | w | 1907 |
| στερεὸν | 6 | w | 1914 |
| καὶ | 17 | w | 1917 |
| τὸ | 31 | w | 1919 |
| ὑγρόν | 2 | w | 1924 |