| Refs | {'start': {'reference': '1', 'human_reference': 'Chapter 1'}, 'end': {'reference': '5', 'human_reference': 'Chapter 5'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| Τῆς | 1 | w | 3 |
| τῶν | 1 | w | 6 |
| μαρμάρων | 1 | w | 14 |
| τε | 1 | w | 16 |
| καὶ | 1 | w | 19 |
| ξύλων | 1 | w | 24 |
| μετρήσεως | 1 | w | 33 |
| ἀναγκαίας | 1 | w | 42 |
| οὔσης | 1 | w | 47 |
| πρῶτον | 1 | w | 53 |
| ὑποθέμενοι | 1 | w | 63 |
| τὴν | 1 | w | 66 |
| τῶν | 2 | w | 69 |
| πηχῶν | 1 | w | 74 |
| διαφοράν | 1 | w | 82 |
| ἑξῆς | 1 | w | 86 |
| καὶ | 2 | w | 89 |
| τὴν | 2 | w | 92 |
| μέτρησιν | 1 | w | 100 |
| αὐτῶν | 1 | w | 105 |
| ὑποτάξομεν | 1 | w | 115 |
| τὰ | 1 | w | 118 |
| γὰρ | 1 | w | 121 |
| γεγραμμένα | 1 | w | 131 |
| ἡμῖν | 1 | w | 135 |
| εἴτε | 1 | w | 139 |
| ἐπὶ | 1 | w | 142 |
| πηχῶν | 2 | w | 147 |
| εἴτε | 2 | w | 152 |
| ἐπὶ | 2 | w | 155 |
| ποδῶν | 1 | w | 160 |
| εἴτε | 3 | w | 165 |
| καὶ | 3 | w | 168 |
| διʼ | 1 | w | 171 |
| ἑτέρων | 1 | w | 177 |
| μέτρων | 1 | w | 183 |
| τριχῶς | 1 | w | 190 |
| νοεῖται | 1 | w | 197 |
| κατὰ | 1 | w | 201 |
| τὸ | 1 | w | 203 |
| εὐθυμετρικὸν | 1 | w | 215 |
| καὶ | 4 | w | 218 |
| ἐμβαδομετρικὸν | 1 | w | 232 |
| καὶ | 5 | w | 235 |
| στερεομετρικόν | 1 | w | 249 |
| εὐθυμετρικὸν | 2 | w | 262 |
| μὲν | 1 | w | 265 |
| οὖν | 1 | w | 268 |
| ἐστιν | 1 | w | 273 |
| οὗ | 1 | w | 275 |
| τὸ | 2 | w | 277 |
| μῆκος | 1 | w | 282 |
| μόνον | 1 | w | 287 |
| ψιλῶς | 1 | w | 292 |
| μετρεῖται | 1 | w | 301 |
| μῆκος | 2 | w | 307 |
| γάρ | 1 | w | 310 |
| ἐστιν | 2 | w | 315 |
| ἐμβαδομετρικὸν | 2 | w | 330 |
| δὲ | 1 | w | 332 |
| τὸ | 3 | w | 334 |
| ὑπό | 1 | w | 337 |
| τε | 6 | w | 339 |
| μήκους | 1 | w | 345 |
| καὶ | 6 | w | 348 |
| πλάτους | 1 | w | 355 |
| ἐπιφάνεια | 1 | w | 365 |
| γάρ | 2 | w | 368 |
| ἐστιν | 3 | w | 373 |
| στερεομετρικὸν | 1 | w | 388 |
| δὲ | 2 | w | 390 |
| τὸ | 4 | w | 392 |
| ὑπό | 2 | w | 395 |
| τε | 8 | w | 397 |
| μήκους | 2 | w | 403 |
| καὶ | 7 | w | 406 |
| πλάτους | 2 | w | 413 |
| καὶ | 8 | w | 416 |
| βάθους | 1 | w | 422 |
| ἐπιφάνεια | 2 | w | 432 |
| γὰρ | 2 | w | 435 |
| τούτων | 1 | w | 441 |
| ἐστίν | 1 | w | 446 |
| καὶ | 9 | w | 450 |
| γὰρ | 3 | w | 453 |
| πάντα | 1 | w | 458 |
| τὰ | 3 | w | 460 |
| κυβικὰ | 1 | w | 466 |
| στερεά | 1 | w | 472 |
| τὰ | 4 | w | 475 |
| δὲ | 3 | w | 477 |
| στερεὰ | 1 | w | 483 |
| οὐχ | 1 | w | 486 |
| ὡς | 1 | w | 488 |
| τὰ | 5 | w | 490 |
| ἐμβαδομετρικά | 1 | w | 503 |
| τούτων | 2 | w | 510 |
| δὲ | 4 | w | 512 |
| οὕτως | 1 | w | 517 |
| ἐχόντων | 1 | w | 524 |
| ἐπὶ | 3 | w | 527 |
| τὴν | 3 | w | 530 |
| διδασκαλίαν | 1 | w | 541 |
| καὶ | 10 | w | 544 |
| ἀκολουθίαν | 1 | w | 554 |
| τῆς | 1 | w | 557 |
| μετρήσεως | 2 | w | 566 |
| τῶν | 4 | w | 569 |
| μαρμάρων | 2 | w | 577 |
| καὶ | 11 | w | 580 |
| ξύλων | 2 | w | 585 |
| καὶ | 12 | w | 588 |
| λοιπῶν | 1 | w | 594 |
| ἐλθεῖν | 1 | w | 600 |
| ἀναγκαῖον | 1 | w | 609 |
| 3 | 1 | w | 611 |
| ἀλεξανδρείως | 1 | w | 624 |
| Β | 1 | w | 625 |
| 4 | 1 | w | 626 |
| μέτρα | 1 | w | 632 |
| μετὰ | 1 | w | 637 |
| MO | 1 | w | 639 |
| sed | 1 | w | 643 |
| O | 2 | w | 644 |
| in | 1 | w | 646 |
| marg | 1 | w | 650 |
| lego | 1 | w | 655 |
| μέτραʼ | 1 | w | 661 |
| περὶ | 1 | w | 666 |
| Β | 2 | w | 667 |
| 5 | 1 | w | 668 |
| τε | 11 | w | 671 |
| καὶ | 13 | w | 674 |
| om | 1 | w | 676 |
| M | 2 | w | 678 |
| 6 | 1 | w | 679 |
| πηχῶν | 3 | w | 685 |
| BMO | 1 | w | 688 |
| et | 1 | w | 690 |
| hic | 1 | w | 693 |
| et | 2 | w | 695 |
| infra | 1 | w | 700 |
| πήχεων | 1 | w | 707 |
| Μαi | 1 | w | 710 |
| ubique | 1 | w | 716 |
| non | 1 | w | 720 |
| puto | 1 | w | 724 |
| Ν | 1 | w | 725 |
| 7 | 1 | w | 727 |
| ὑποτάξωμεν | 1 | w | 738 |
| 0 | 1 | w | 739 |
| 8 | 1 | w | 740 |
| δʼ | 1 | w | 743 |
| ἑτέρων | 2 | w | 749 |
| Β | 3 | w | 750 |
| 9 | 1 | w | 751 |
| μέτρων | 2 | w | 758 |
| μερῶν | 1 | w | 764 |
| 0 | 2 | w | 765 |
| 10 | 1 | w | 767 |
| στερεωμετρικόν | 1 | w | 782 |
| MO | 3 | w | 784 |
| 11 | 1 | w | 786 |
| μετρῆται | 1 | w | 795 |
| Β | 4 | w | 796 |
| 12 | 1 | w | 798 |
| τε | 13 | w | 801 |
| om | 2 | w | 803 |
| M | 5 | w | 805 |
| 13 | 1 | w | 807 |
| στερεομετρικὸν | 2 | w | 822 |
| usque | 1 | w | 827 |
| ad | 1 | w | 829 |
| τούτων | 3 | w | 835 |
| ἐστίν | 2 | w | 840 |
| om | 3 | w | 842 |
| Β | 5 | w | 844 |
| eodem | 1 | w | 850 |
| loco | 1 | w | 854 |
| O | 5 | w | 855 |
| semel | 1 | w | 860 |
| M | 6 | w | 862 |
| bis | 1 | w | 865 |
| habet | 1 | w | 870 |
| haec | 1 | w | 874 |
| στερεωμετρικὸν | 1 | w | 889 |
| δὲ | 5 | w | 891 |
| τὸ | 5 | w | 893 |
| ὑπό | 3 | w | 896 |
| τε | 16 | w | 898 |
| μήκους | 3 | w | 904 |
| καὶ | 14 | w | 907 |
| πλάτους | 3 | w | 914 |
| ἐπεφάνεια | 1 | w | 924 |
| γάρ | 3 | w | 927 |
| ἐστιν | 4 | w | 932 |
| ἐστι | 5 | w | 937 |
| 0 | 4 | w | 938 |
| ea | 1 | w | 942 |
| quae | 1 | w | 946 |
| supra | 1 | w | 951 |
| exhibuimus | 1 | w | 961 |
| edidit | 1 | w | 967 |
| Μαἱ | 1 | w | 970 |
| 16 | 1 | w | 972 |
| ἀκολουθείαν | 1 | w | 984 |
| Β | 6 | w | 985 |
| ἀκολούθως | 1 | w | 995 |
| Ν | 2 | w | 996 |
| ἀκολουλου | 1 | w | 1006 |
| cum | 1 | w | 1009 |
| suprascr | 1 | w | 1017 |
| θ | 9 | w | 1019 |
| O | 6 | w | 1020 |
| Μάρμαρον | 1 | w | 1028 |
| μῆκος | 3 | w | 1033 |
| ποδῶν | 2 | w | 1038 |
| ιγ | 1 | w | 1040 |
| πλάτος | 1 | w | 1047 |
| ποδῶν | 3 | w | 1052 |
| δ | 18 | w | 1053 |
| πάχος | 1 | w | 1059 |
| δακτύλων | 1 | w | 1067 |
| Ϛ | 1 | w | 1068 |
| εὑρεῖν | 1 | w | 1075 |
| αὐτοῦ | 1 | w | 1080 |
| τὸ | 6 | w | 1082 |
| στερεόν | 1 | w | 1089 |
| ποίει | 1 | w | 1095 |
| οὕτως | 2 | w | 1100 |
| τὸ | 7 | w | 1103 |
| μῆκος | 4 | w | 1108 |
| ἐπὶ | 4 | w | 1111 |
| τὸ | 8 | w | 1113 |
| πλάτος | 2 | w | 1119 |
| γίνεται | 1 | w | 1126 |
| νβ | 1 | w | 1128 |
| ταῦτα | 1 | w | 1134 |
| ἐπὶ | 5 | w | 1137 |
| τὸ | 9 | w | 1139 |
| πάχος | 2 | w | 1144 |
| γίνονται | 1 | w | 1152 |
| δάκτυλοι | 1 | w | 1160 |
| τιβ | 1 | w | 1163 |
| ταῦτα | 2 | w | 1169 |
| ἀεὶ | 1 | w | 1172 |
| μέριζε | 1 | w | 1178 |
| εἰς | 1 | w | 1181 |
| τὰ | 7 | w | 1183 |
| ιϚ | 1 | w | 1185 |
| διὰ | 1 | w | 1188 |
| τὸ | 10 | w | 1190 |
| ἔχειν | 1 | w | 1195 |
| τὸν | 1 | w | 1198 |
| πόδα | 1 | w | 1202 |
| δακτύλους | 1 | w | 1211 |
| ιϚ | 2 | w | 1213 |
| γίνονται | 2 | w | 1222 |
| ιθ | 1 | w | 1224 |
| 𝒮 | 1 | w | 1225 |
| τοσούτων | 1 | w | 1234 |
| ἔσται | 1 | w | 1239 |
| ποδῶν | 4 | w | 1244 |
| στερεῶν | 1 | w | 1251 |
| τὸ | 12 | w | 1253 |
| μάρμαρον | 1 | w | 1261 |
| Μάρμαρον | 2 | w | 1270 |
| μῆκος | 5 | w | 1275 |
| ποδῶν | 5 | w | 1280 |
| Ϛ | 4 | w | 1281 |
| πλάτος | 3 | w | 1288 |
| ποδῶν | 6 | w | 1293 |
| ε | 75 | w | 1294 |
| πάχος | 3 | w | 1300 |
| ποδὸς | 1 | w | 1305 |
| α | 62 | w | 1306 |
| εὑρεῖν | 2 | w | 1313 |
| πόσων | 1 | w | 1318 |
| ποδῶν | 7 | w | 1323 |
| στερεῶν | 2 | w | 1330 |
| ἐστι | 6 | w | 1334 |
| τὸ | 13 | w | 1336 |
| μάρμαρον | 2 | w | 1344 |
| ποίει | 2 | w | 1350 |
| οὕτως | 3 | w | 1355 |
| τὰ | 8 | w | 1358 |
| μῆκος | 6 | w | 1363 |
| ἐπὶ | 6 | w | 1366 |
| τὸ | 14 | w | 1368 |
| πλάτος | 4 | w | 1374 |
| γίνεται | 2 | w | 1381 |
| λ | 23 | w | 1382 |
| ταῦτα | 3 | w | 1388 |
| ἐπὶ | 7 | w | 1391 |
| τὸ | 15 | w | 1393 |
| πάχος | 4 | w | 1398 |
| τουτέστιν | 1 | w | 1408 |
| ἐπὶ | 8 | w | 1411 |
| τὸ | 16 | w | 1413 |
| ἓν | 1 | w | 1415 |
| ἅπαξ | 1 | w | 1419 |
| ἤτοι | 1 | w | 1423 |
| λ | 24 | w | 1425 |
| τοσούτων | 2 | w | 1434 |
| ἔσται | 2 | w | 1439 |
| ποδῶν | 8 | w | 1444 |
| στερεῶν | 3 | w | 1451 |
| τὸ | 17 | w | 1453 |
| μάρμαρον | 3 | w | 1461 |
| Ξύλον | 1 | w | 1467 |
| στρογγύλον | 1 | w | 1477 |
| οὗ | 2 | w | 1480 |
| τὸ | 18 | w | 1482 |
| μὲν | 2 | w | 1485 |
| μῆκος | 7 | w | 1490 |
| ποδῶν | 9 | w | 1495 |
| ιϚ | 3 | w | 1497 |
| ἡ | 2 | w | 1499 |
| δὲ | 6 | w | 1501 |
| περιφέρεια | 1 | w | 1511 |
| δακτύλων | 2 | w | 1519 |
| λ | 28 | w | 1520 |
| εὑρεῖν | 3 | w | 1527 |
| αὐτοῦ | 2 | w | 1532 |
| τὸ | 19 | w | 1534 |
| στερεόν | 2 | w | 1541 |
| ποίει | 3 | w | 1547 |
| οὕτως | 4 | w | 1552 |
| τὰ | 9 | w | 1555 |
| λ | 29 | w | 1556 |
| τῆς | 2 | w | 1559 |
| περιφερείας | 1 | w | 1570 |
| ἐφʼ | 1 | w | 1573 |
| ἑαυτὰ | 1 | w | 1578 |
| γίνονται | 3 | w | 1586 |
| Ϡ | 1 | w | 1587 |
| ὧν | 1 | w | 1590 |
| τὸ | 20 | w | 1592 |
| ιβ | 2 | w | 1594 |
| γίνεται | 3 | w | 1602 |
| οε | 2 | w | 1604 |
| ταῦτα | 4 | w | 1610 |
| ἐπὶ | 9 | w | 1613 |
| τὰ | 11 | w | 1615 |
| ιϚ | 4 | w | 1617 |
| γίνονται | 4 | w | 1625 |
| ασ | 2 | w | 1628 |
| ὧν | 2 | w | 1631 |
| τὸ | 21 | w | 1633 |
| ρ𝒢β | 1 | w | 1636 |
| ἵνα | 1 | w | 1641 |
| γένωνται | 1 | w | 1649 |
| πόδες | 1 | w | 1654 |
| τὰ | 12 | w | 1657 |
| δὲ | 7 | w | 1659 |
| λοιπὰ | 1 | w | 1664 |
| εἰς | 2 | w | 1667 |
| η | 6 | w | 1668 |
| ἵνα | 2 | w | 1673 |
| ὦσι | 1 | w | 1676 |
| δάκτυλοι | 2 | w | 1684 |
| ὡς | 2 | w | 1687 |
| εἶναι | 1 | w | 1692 |
| τὸ | 22 | w | 1694 |
| ξύλον | 1 | w | 1699 |
| ποδῶν | 10 | w | 1704 |
| στερεῶν | 4 | w | 1711 |
| Ϛ | 7 | w | 1712 |
| δακτύλων | 3 | w | 1720 |
| Ϛ | 8 | w | 1721 |
| Ξύλον | 2 | w | 1727 |
| μείουρον | 1 | w | 1735 |
| μῆκος | 8 | w | 1740 |
| ποδῶν | 11 | w | 1745 |
| ιγ | 2 | w | 1747 |
| πλάτος | 5 | w | 1754 |
| δακτύλων | 4 | w | 1762 |
| ιε | 1 | w | 1764 |
| πάχος | 5 | w | 1770 |
| ἤτοι | 2 | w | 1774 |
| ὕψος | 1 | w | 1778 |
| δακτύλων | 5 | w | 1786 |
| η | 7 | w | 1787 |
| εὑρεῖν | 4 | w | 1794 |
| αὐτοῦ | 3 | w | 1799 |
| τὸ | 23 | w | 1801 |
| στερεόν | 3 | w | 1808 |
| ποίει | 4 | w | 1814 |
| οὕτως | 5 | w | 1819 |
| τὰ | 13 | w | 1822 |
| ιγ | 3 | w | 1824 |
| τοῦ | 4 | w | 1827 |
| μήκους | 4 | w | 1833 |
| ἐπὶ | 10 | w | 1836 |
| τὰ | 14 | w | 1838 |
| ιε | 2 | w | 1840 |
| τοῦ | 5 | w | 1843 |
| πάχους | 1 | w | 1849 |
| γίνονται | 5 | w | 1857 |
| ρ𝒢ε | 1 | w | 1860 |
| ταῦτα | 5 | w | 1866 |
| ἐπὶ | 11 | w | 1869 |
| τὰ | 15 | w | 1871 |
| η | 8 | w | 1872 |
| τοῦ | 6 | w | 1875 |
| ὕψους | 1 | w | 1880 |
| γίνονται | 6 | w | 1888 |
| αφξ | 1 | w | 1892 |
| ἐξ | 1 | w | 1895 |
| ὧν | 3 | w | 1897 |
| δὴ | 1 | w | 1899 |
| κούφιζε | 1 | w | 1906 |
| τὸ | 24 | w | 1908 |
| δ | 42 | w | 1909 |
| λοιπὰ | 2 | w | 1916 |
| αρο | 6 | w | 1919 |
| ὧν | 4 | w | 1922 |
| τὸ | 25 | w | 1924 |
| ρ𝒢β | 2 | w | 1927 |
| γίνεται | 4 | w | 1935 |
| Ϛ | 9 | w | 1936 |
| τὸ | 26 | w | 1939 |
| λοιπὸν | 1 | w | 1945 |
| εἰς | 3 | w | 1948 |
| η | 9 | w | 1949 |
| γίνονται | 7 | w | 1958 |
| β | 11 | w | 1959 |
| δ | 43 | w | 1960 |
| ὡς | 3 | w | 1964 |
| εἶναι | 2 | w | 1969 |
| τὸ | 27 | w | 1971 |
| ξύλον | 2 | w | 1976 |
| ποδῶν | 12 | w | 1981 |
| κτερεῶν | 1 | w | 1988 |
| Ϛ | 10 | w | 1989 |
| δακτύλων | 6 | w | 1997 |
| β | 12 | w | 1998 |
| δ | 46 | w | 1999 |