| Refs | {'start': {'reference': '24', 'human_reference': 'Chapter 24'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| κδ | 1 | w | 2 |
| Ἔστι | 1 | w | 7 |
| δὲ | 1 | w | 9 |
| καὶ | 1 | w | 12 |
| ἄλλος | 1 | w | 17 |
| τρόπος | 1 | w | 23 |
| μετρήσεως | 1 | w | 32 |
| ἔστω | 1 | w | 37 |
| χωρίον | 1 | w | 43 |
| ὃ | 1 | w | 45 |
| δεῖ | 1 | w | 48 |
| μετρῆσαι | 1 | w | 56 |
| τὸ | 1 | w | 59 |
| ὑπογεγραμμένον | 1 | w | 73 |
| ἐν | 1 | w | 76 |
| ᾧ | 1 | w | 77 |
| διὰ | 1 | w | 80 |
| τῆς | 1 | w | 83 |
| διόπτρας | 1 | w | 91 |
| διʼ | 1 | w | 94 |
| ὅλου | 1 | w | 98 |
| τοῦ | 1 | w | 101 |
| μήκους | 1 | w | 107 |
| διήχθω | 1 | w | 113 |
| τις | 1 | w | 116 |
| εὐθεῖα | 1 | w | 122 |
| p | 1 | w | 124 |
| 266 | 1 | w | 128 |
| κατὰ | 1 | w | 132 |
| τὸ | 2 | w | 134 |
| δυνατὸν | 1 | w | 141 |
| μέση | 1 | w | 145 |
| τοῦ | 2 | w | 148 |
| χωρίου | 1 | w | 154 |
| ὡς | 1 | w | 156 |
| ἔγγιστα | 1 | w | 163 |
| ἡ | 1 | w | 165 |
| ΑΒ | 1 | w | 167 |
| ἐπὶ | 1 | w | 171 |
| δὲ | 2 | w | 173 |
| ταύτης | 1 | w | 179 |
| εἰλήφθω | 1 | w | 186 |
| συνεχῆ | 1 | w | 192 |
| σημεῖα | 1 | w | 198 |
| τὰ | 2 | w | 200 |
| Γ | 1 | w | 201 |
| Ε | 1 | w | 204 |
| Ζ | 1 | w | 206 |
| Η | 1 | w | 208 |
| Θ | 1 | w | 210 |
| ἀπὸ | 1 | w | 214 |
| δὲ | 3 | w | 216 |
| τῶν | 1 | w | 219 |
| ληφθέντων | 1 | w | 228 |
| σημείων | 1 | w | 235 |
| τῇ | 1 | w | 237 |
| ΑΒ | 2 | w | 239 |
| πρὸς | 1 | w | 243 |
| ὀρθὰς | 1 | w | 248 |
| ἤχθωσαν | 1 | w | 255 |
| διὰ | 2 | w | 258 |
| τῆς | 2 | w | 261 |
| διόπτρας | 2 | w | 269 |
| αἱ | 1 | w | 271 |
| ΓΚ | 1 | w | 273 |
| ΓΛ | 1 | w | 276 |
| Μ | 1 | w | 278 |
| Ν | 1 | w | 280 |
| ΕΞ | 1 | w | 283 |
| ΕΟ | 1 | w | 286 |
| ΖΠ | 1 | w | 289 |
| ΖΡ | 1 | w | 292 |
| ΗΣ | 1 | w | 295 |
| ΗΤ | 1 | w | 298 |
| ΘΥ | 1 | w | 301 |
| ΘΦ | 1 | w | 304 |
| ὥστε | 1 | w | 309 |
| 1 | 1 | w | 310 |
| το | 3 | w | 312 |
| ωρειον | 1 | w | 318 |
| corr | 1 | w | 323 |
| Vi | 1 | w | 326 |
| 6 | 3 | w | 327 |
| γραμμὴ | 1 | w | 333 |
| τῆ | 3 | w | 335 |
| Γ | 4 | w | 336 |
| περιφερη | 1 | w | 344 |
| μετρησω- | 1 | w | 353 |
| μεν | 1 | w | 356 |
| 7 | 1 | w | 357 |
| μ | 13 | w | 358 |
| sed | 1 | w | 362 |
| ϛ | 1 | w | 363 |
| in | 1 | w | 365 |
| rasura | 1 | w | 371 |
| m | 1 | w | 372 |
| 1 | 2 | w | 374 |
| 8 | 1 | w | 375 |
| μ | 14 | w | 376 |
| μ | 15 | w | 377 |
| 9 | 1 | w | 378 |
| fin | 1 | w | 381 |
| μ | 16 | w | 383 |
| μ | 17 | w | 384 |
| μ | 18 | w | 385 |
| μΖ | 1 | w | 387 |
| ωστε | 1 | w | 391 |
| 11 | 1 | w | 393 |
| μετρήσωμεν | 1 | w | 403 |
| 12 | 1 | w | 405 |
| μ | 22 | w | 406 |
| μ | 23 | w | 407 |
| τρίγωνον | 1 | w | 415 |
| τὸ | 4 | w | 417 |
| Γ | 5 | w | 418 |
| μ | 24 | w | 419 |
| μ | 25 | w | 420 |
| μ | 26 | w | 421 |
| τραπέζιον | 1 | w | 430 |
| 14 | 1 | w | 432 |
| Γ | 6 | w | 433 |
| μ | 27 | w | 434 |
| μ | 28 | w | 435 |
| γραμμῆς | 1 | w | 442 |
| 22 | 1 | w | 444 |
| Μ | 2 | w | 445 |
| Η | 4 | w | 446 |
| corr | 2 | w | 451 |
| Vi | 2 | w | 454 |
| 23 | 1 | w | 456 |
| ΖΠ | 2 | w | 458 |
| ΗΡ | 1 | w | 460 |
| ΗΣ | 2 | w | 462 |
| πάλιν | 1 | w | 467 |
| τὰς | 1 | w | 470 |
| μεταξὺ | 1 | w | 476 |
| γραμμὰς | 1 | w | 483 |
| σύνεγγυς | 1 | w | 491 |
| εὐθείας | 1 | w | 498 |
| εἶναι | 1 | w | 503 |
| πάλιν | 2 | w | 509 |
| οὖν | 1 | w | 512 |
| διῄρηται | 1 | w | 520 |
| τὸ | 5 | w | 522 |
| χωρίον | 2 | w | 528 |
| εἰς | 1 | w | 531 |
| τρίγωνα | 1 | w | 538 |
| τὰ | 4 | w | 540 |
| ΑΓΚ | 1 | w | 543 |
| ΑΓΛ | 1 | w | 547 |
| ΒΘΦ | 1 | w | 551 |
| ΒΘΥ | 1 | w | 555 |
| καὶ | 2 | w | 559 |
| τὰ | 5 | w | 561 |
| λοιπὰ | 1 | w | 566 |
| τραπέζια | 1 | w | 574 |
| δυνατὸν | 2 | w | 582 |
| οὖν | 2 | w | 585 |
| διά | 1 | w | 588 |
| τε | 3 | w | 590 |
| τῶν | 2 | w | 593 |
| εἰρημένων | 1 | w | 602 |
| τριγώνων | 1 | w | 610 |
| καὶ | 3 | w | 613 |
| διὰ | 3 | w | 616 |
| τε | 4 | w | 618 |
| τῶν | 3 | w | 621 |
| τραπεζίων | 1 | w | 630 |
| τὸ | 7 | w | 632 |
| χωρίον | 3 | w | 638 |
| μετρηθῆναι | 1 | w | 648 |
| ἐὰν | 1 | w | 652 |
| δὲ | 4 | w | 654 |
| πάλιν | 3 | w | 659 |
| ἐμπέσῃ | 1 | w | 665 |
| τις | 2 | w | 668 |
| μεταξὺ | 2 | w | 674 |
| περιφερὴς | 1 | w | 683 |
| γραμμή | 1 | w | 689 |
| διελοῦμεν | 1 | w | 699 |
| τὸ | 8 | w | 701 |
| πρὸς | 2 | w | 705 |
| αὐτῇ | 1 | w | 709 |
| τραπέζιον | 2 | w | 718 |
| ὡσαύτως | 1 | w | 725 |
| τῷ | 1 | w | 727 |
| ἐπάνω | 1 | w | 732 |
| καὶ | 4 | w | 736 |
| οὕτως | 1 | w | 741 |
| μετρήσομεν | 1 | w | 751 |
| αὕτη | 1 | w | 756 |
| δʼ | 1 | w | 758 |
| ἡ | 2 | w | 759 |
| μέτρησις | 1 | w | 767 |
| εὔχρηστός | 1 | w | 776 |
| ἐστιν | 1 | w | 781 |
| ὅταν | 1 | w | 786 |
| δέῃ | 1 | w | 789 |
| καὶ | 5 | w | 792 |
| διελεῖν | 1 | w | 799 |
| τὸ | 9 | w | 801 |
| χωρίον | 4 | w | 807 |
| εἰς | 2 | w | 810 |
| τὰ | 6 | w | 812 |
| δοθέντα | 1 | w | 819 |
| μέρη | 1 | w | 823 |
| δέον | 1 | w | 828 |
| γὰρ | 1 | w | 831 |
| ἔστω | 2 | w | 835 |
| διελεῖν | 2 | w | 842 |
| αὐτὸ | 1 | w | 846 |
| εἰς | 3 | w | 849 |
| ἴσα | 1 | w | 852 |
| μέρη | 2 | w | 856 |
| ἑπτὰ | 1 | w | 860 |
| διὰ | 4 | w | 863 |
| παραλλήλων | 1 | w | 873 |
| εὐθειῶν | 1 | w | 880 |
| ἐμέτρησα | 1 | w | 889 |
| οὖν | 3 | w | 892 |
| τὸ | 11 | w | 894 |
| χωρίον | 5 | w | 900 |
| καὶ | 6 | w | 904 |
| ἔλαβον | 1 | w | 910 |
| τοῦ | 3 | w | 913 |
| γενομένου | 1 | w | 922 |
| τὸ | 12 | w | 924 |
| ἕβδομον | 1 | w | 931 |
| μέρος | 1 | w | 936 |
| ὥστε | 2 | w | 941 |
| ἑκάστῳ | 1 | w | 947 |
| μέρει | 1 | w | 952 |
| τοσοῦτον | 1 | w | 960 |
| ἀπονέμειν | 1 | w | 969 |
| ἐμέτρησα | 2 | w | 978 |
| οὖν | 4 | w | 981 |
| τὸ | 13 | w | 983 |
| ΚΑΛ | 1 | w | 986 |
| χωρίον | 6 | w | 992 |
| καὶ | 7 | w | 996 |
| εἰ | 6 | w | 998 |
| μὲν | 1 | w | 1001 |
| ἴσον | 1 | w | 1005 |
| ἐστὶν | 1 | w | 1010 |
| τῷ | 2 | w | 1012 |
| ἑβδόμῳ | 1 | w | 1018 |
| μέρει | 2 | w | 1023 |
| ἔχομεν | 1 | w | 1030 |
| τὸ | 14 | w | 1032 |
| ΚΑΛ | 2 | w | 1035 |
| χωρίον | 7 | w | 1041 |
| εἰ | 7 | w | 1044 |
| δὲ | 5 | w | 1046 |
| μὴ | 2 | w | 1048 |
| προστίθημι | 1 | w | 1059 |
| τῷ | 3 | w | 1061 |
| τοῦ | 4 | w | 1064 |
| ΚΑΛ | 3 | w | 1067 |
| 4 | 2 | w | 1068 |
| διά | 2 | w | 1071 |
| τε | 6 | w | 1073 |
| τῶν | 4 | w | 1076 |
| τραπεζίων | 2 | w | 1085 |
| correxi | 1 | w | 1093 |
| 6 | 4 | w | 1094 |
| περιφερὶς | 1 | w | 1103 |
| 7 | 2 | w | 1104 |
| ὡσαυτὸς | 1 | w | 1111 |
| 8 | 2 | w | 1112 |
| μετρησωμεν | 1 | w | 1122 |
| 13 | 1 | w | 1124 |
| f | 2 | w | 1125 |
| ἀπονέμειν | 2 | w | 1135 |
| δεῖ | 2 | w | 1139 |
| 15 | 1 | w | 1142 |
| προστίθημι | 2 | w | 1152 |
| τὸ | 16 | w | 1154 |
| τοῦ | 5 | w | 1157 |
| τὸ | 17 | w | 1159 |
| τοῦ | 6 | w | 1162 |
| ΚΛΜΝ | 1 | w | 1166 |
| ἐμβαδόν | 1 | w | 1173 |
| καὶ | 8 | w | 1177 |
| εἰ | 8 | w | 1179 |
| μὲν | 2 | w | 1182 |
| ἴσον | 2 | w | 1186 |
| εὑρεθείη | 1 | w | 1194 |
| τῷ | 4 | w | 1196 |
| ἑβδόμῳ | 2 | w | 1202 |
| μέρει | 3 | w | 1207 |
| ἔσται | 1 | w | 1213 |
| ἡ | 3 | w | 1214 |
| ΜΝ | 2 | w | 1216 |
| ἀφορίζουσα | 1 | w | 1226 |
| τὸ | 18 | w | 1228 |
| ἓν | 1 | w | 1230 |
| τῶν | 5 | w | 1233 |
| μερῶν | 1 | w | 1238 |
| εἰ | 9 | w | 1241 |
| δὲ | 6 | w | 1243 |
| μεῖον | 1 | w | 1248 |
| εὑρεθείη | 2 | w | 1256 |
| δεήσει | 1 | w | 1263 |
| πάλιν | 4 | w | 1268 |
| προσθεῖναι | 1 | w | 1278 |
| καὶ | 9 | w | 1281 |
| τὸ | 19 | w | 1283 |
| τοῦ | 7 | w | 1286 |
| ΜΝΞΟ | 1 | w | 1290 |
| ἐμβαδόν | 2 | w | 1297 |
| ἄχρις | 1 | w | 1303 |
| ἂν | 1 | w | 1305 |
| ἴσον | 3 | w | 1309 |
| γένηται | 1 | w | 1316 |
| τῷ | 5 | w | 1318 |
| ἑβδόμῳ | 3 | w | 1324 |
| μέρει | 4 | w | 1329 |
| ἢ | 1 | w | 1330 |
| ὑπερβάλῃ | 1 | w | 1338 |
| ὑπερβεβληκέτω | 1 | w | 1352 |
| οὖν | 5 | w | 1355 |
| προστεθέντος | 1 | w | 1367 |
| τοῦ | 8 | w | 1370 |
| ΕΟΠΡ | 1 | w | 1374 |
| δεήσει | 2 | w | 1381 |
| ἄρα | 1 | w | 1384 |
| ἀπὸ | 2 | w | 1387 |
| τοῦ | 9 | w | 1390 |
| ΞΟΠΡ | 1 | w | 1394 |
| ἀφελεῖν | 1 | w | 1401 |
| χωρίον | 8 | w | 1407 |
| ἴσον | 4 | w | 1411 |
| τῷ | 6 | w | 1413 |
| ὑπερβάλλοντι | 1 | w | 1425 |
| οἷον | 1 | w | 1430 |
| fol | 1 | w | 1433 |
| 74r | 1 | w | 1437 |
| τὸ | 20 | w | 1439 |
| ΠΡΧΨ | 1 | w | 1443 |
| ὥστε | 3 | w | 1448 |
| δεήσει | 3 | w | 1454 |
| ἐπίστασθαι | 1 | w | 1464 |
| ἀπὸ | 3 | w | 1468 |
| τοῦ | 10 | w | 1471 |
| δοθέντος | 1 | w | 1479 |
| τραπεζίου | 1 | w | 1488 |
| ὡς | 2 | w | 1490 |
| δεῖ | 3 | w | 1493 |
| ἀφελεῖν | 2 | w | 1500 |
| τραπέζιον | 3 | w | 1509 |
| ἴσον | 5 | w | 1513 |
| τῷ | 7 | w | 1515 |
| δοθέντι | 1 | w | 1522 |
| τοῦτο | 1 | w | 1528 |
| δὲ | 7 | w | 1530 |
| ἑξῆς | 1 | w | 1534 |
| δείξομεν | 1 | w | 1542 |
| οὐκοῦν | 1 | w | 1549 |
| ἔσται | 2 | w | 1554 |
| τὸ | 21 | w | 1556 |
| ΧΑΨ | 1 | w | 1559 |
| χωρίον | 9 | w | 1565 |
| ἓν | 2 | w | 1567 |
| τῶν | 6 | w | 1570 |
| μερῶν | 2 | w | 1575 |
| πάλιν | 5 | w | 1581 |
| οὖν | 6 | w | 1584 |
| τῷ | 8 | w | 1586 |
| ΠΧΨΡ | 1 | w | 1590 |
| προσέθηκα | 1 | w | 1599 |
| τὸ | 22 | w | 1601 |
| ΠΡΣΤ | 1 | w | 1605 |
| καὶ | 10 | w | 1609 |
| εἰ | 10 | w | 1611 |
| μὲν | 3 | w | 1614 |
| ἴσον | 6 | w | 1618 |
| εἴη | 1 | w | 1621 |
| αὐτὸ | 2 | w | 1625 |
| τὸ | 24 | w | 1627 |
| ἐμβαδὸν | 1 | w | 1634 |
| τῷ | 9 | w | 1636 |
| p | 2 | w | 1637 |
| 268 | 1 | w | 1641 |
| ἑβδόμῳ | 4 | w | 1647 |
| μέρει | 5 | w | 1652 |
| ἔσται | 3 | w | 1658 |
| ἡ | 4 | w | 1659 |
| ΣΤ | 2 | w | 1661 |
| ἀφορίζουσα | 2 | w | 1671 |
| τὸ | 25 | w | 1673 |
| δεύτερον | 1 | w | 1681 |
| μέρος | 2 | w | 1686 |
| εἰ | 11 | w | 1689 |
| δὲ | 8 | w | 1691 |
| ὑπερβάλοι | 1 | w | 1700 |
| πάλιν | 6 | w | 1706 |
| δεήσει | 4 | w | 1712 |
| ἀφελεῖν | 3 | w | 1719 |
| τὸ | 26 | w | 1721 |
| ὑπερβάλλον | 2 | w | 1731 |
| ἀπὸ | 4 | w | 1734 |
| τοῦ | 12 | w | 1737 |
| ΠΡΣΤ | 2 | w | 1741 |
| τραπεζίου | 2 | w | 1750 |
| καὶ | 11 | w | 1754 |
| οὕτως | 2 | w | 1759 |
| νοείσθω | 1 | w | 1766 |
| ἐπὶ | 2 | w | 1769 |
| τῶν | 7 | w | 1772 |
| λοιπῶν | 1 | w | 1778 |
| μερῶν | 3 | w | 1783 |