| Refs | {'start': {'reference': '56', 'human_reference': 'Chapter 56'}, 'end': {'reference': '57', 'human_reference': 'Chapter 57'}} |
|---|---|
| Ancestors | [] |
| Children | [] |
| νϚ | 1 | w | 2 |
| Ὅσα | 1 | w | 6 |
| μὴ | 1 | w | 8 |
| ἐν | 1 | w | 10 |
| τῷ | 1 | w | 12 |
| αὐτῷ | 1 | w | 16 |
| ἀποστήματι | 1 | w | 26 |
| κεῖται | 1 | w | 32 |
| μὴ | 2 | w | 34 |
| παρ | 1 | w | 37 |
| άλληλα | 1 | w | 43 |
| κείμενα | 1 | w | 50 |
| τῶν | 1 | w | 53 |
| ἄκρων | 1 | w | 58 |
| μὴ | 3 | w | 60 |
| κατάλληλα | 1 | w | 69 |
| κειμένων | 1 | w | 77 |
| τῶ | 2 | w | 79 |
| μέσων | 1 | w | 84 |
| μηδὲ | 1 | w | 88 |
| ἐπʼ | 1 | w | 91 |
| εὐθείας | 1 | w | 98 |
| ὄντων | 1 | w | 103 |
| τὸ | 1 | w | 106 |
| ὅλον | 1 | w | 110 |
| σχῆμα | 1 | w | 115 |
| ὁτ | 1 | w | 117 |
| μὲν | 1 | w | 120 |
| κοῖλον | 1 | w | 126 |
| ὁτὲ | 1 | w | 130 |
| δὲ | 2 | w | 132 |
| κυρτὸν | 1 | w | 138 |
| ποιεῖ | 1 | w | 143 |
| ὁράσθω | 1 | w | 150 |
| γὰρ | 1 | w | 153 |
| τὰ | 1 | w | 155 |
| Β | 1 | w | 156 |
| Γ | 1 | w | 158 |
| τοῦ | 1 | w | 162 |
| ὄμματος | 1 | w | 169 |
| ἐπὶ | 1 | w | 172 |
| τοῦ | 2 | w | 175 |
| Γ | 2 | w | 176 |
| 5 | 1 | w | 177 |
| μέρεσιν | 1 | w | 185 |
| V | 1 | w | 186 |
| v | 1 | w | 187 |
| 7 | 1 | w | 189 |
| τὸ | 3 | w | 191 |
| δέ | 1 | w | 193 |
| corr | 1 | w | 198 |
| ex | 1 | w | 201 |
| τοῦ | 3 | w | 204 |
| δέ | 2 | w | 206 |
| V | 2 | w | 207 |
| 11 | 1 | w | 210 |
| νε | 1 | w | 213 |
| ξγʹ | 1 | w | 216 |
| p | 1 | w | 217 |
| ξβ | 1 | w | 220 |
| V | 3 | w | 221 |
| νθ | 1 | w | 224 |
| im | 1 | w | 226 |
| ras | 1 | w | 229 |
| m | 2 | w | 231 |
| 2 | 1 | w | 233 |
| v | 2 | w | 234 |
| 12 | 1 | w | 237 |
| ἔγγειον | 1 | w | 245 |
| V | 4 | w | 246 |
| 14 | 1 | w | 249 |
| ΒΓ | 1 | w | 251 |
| p | 2 | w | 252 |
| 15 | 1 | w | 255 |
| ηὐξείσθω | 1 | w | 264 |
| v | 3 | w | 265 |
| sed | 1 | w | 269 |
| corr | 2 | w | 273 |
| 16 | 1 | w | 276 |
| μεῖζον | 1 | w | 283 |
| v | 4 | w | 284 |
| 16 | 2 | w | 287 |
| ἔγγιον | 1 | w | 293 |
| pr | 1 | w | 296 |
| ἔγγειον | 2 | w | 306 |
| V | 5 | w | 307 |
| μείζονα | 1 | w | 315 |
| p | 4 | w | 316 |
| om | 1 | w | 319 |
| v | 5 | w | 321 |
| φαίνεται | 1 | w | 330 |
| om | 2 | w | 333 |
| κειμένου | 1 | w | 342 |
| καὶ | 1 | w | 346 |
| προσπιπτέτωσαν | 1 | w | 360 |
| ἀκτῖνες | 1 | w | 367 |
| αἱ | 1 | w | 369 |
| ΚB | 1 | w | 371 |
| ΚG | 1 | w | 374 |
| Κ | 3 | w | 375 |
| οὐκοῦν | 1 | w | 382 |
| τὸ | 4 | w | 384 |
| ὅλον | 2 | w | 388 |
| σχῆμα | 2 | w | 393 |
| κοῖλον | 2 | w | 399 |
| ἂν | 1 | w | 401 |
| δόξειεν | 1 | w | 408 |
| εἶναι | 1 | w | 413 |
| μετακινείσθω | 1 | w | 426 |
| δὴ | 1 | w | 428 |
| πάλιν | 1 | w | 433 |
| τὸ | 5 | w | 435 |
| ὁρώμενον | 1 | w | 443 |
| καὶ | 2 | w | 446 |
| ἔγγιον | 2 | w | 452 |
| κείσθω | 1 | w | 458 |
| τοῦ | 4 | w | 461 |
| ὄμματος | 2 | w | 468 |
| οὐκοῦν | 2 | w | 475 |
| τὸ | 6 | w | 477 |
| ΒΓ | 2 | w | 479 |
| δόξει | 2 | w | 484 |
| κυρτὸν | 2 | w | 490 |
| εἶναι | 2 | w | 495 |
| νζ | 1 | w | 498 |
| Τετραγώνου | 1 | w | 509 |
| ὑπάρχοντος | 1 | w | 519 |
| ἐὰν | 1 | w | 522 |
| ἀπὸ | 1 | w | 525 |
| τῆς | 1 | w | 528 |
| συναφῆς | 1 | w | 535 |
| τῶν | 2 | w | 538 |
| διαμέτρων | 1 | w | 547 |
| πρὸς | 1 | w | 551 |
| ὀρθάς | 1 | w | 556 |
| τις | 1 | w | 559 |
| ἀναχθῇ | 1 | w | 565 |
| τῷ | 3 | w | 567 |
| τοῦ | 5 | w | 570 |
| τετραγώνου | 1 | w | 580 |
| ἐπιπέδῳ | 1 | w | 587 |
| ἐπὶ | 2 | w | 591 |
| δὲ | 3 | w | 593 |
| ταύτης | 1 | w | 599 |
| τεθῇ | 1 | w | 603 |
| τὸ | 8 | w | 605 |
| ὄμμα | 3 | w | 609 |
| αἵ | 1 | w | 612 |
| τε | 3 | w | 614 |
| πλευραὶ | 1 | w | 621 |
| τοῦ | 6 | w | 624 |
| τετραγώνου | 2 | w | 634 |
| καὶ | 3 | w | 637 |
| αἱ | 2 | w | 639 |
| διάμετροι | 1 | w | 648 |
| ἴσαι | 1 | w | 652 |
| φανοῦνται | 1 | w | 661 |
| ἔστω | 1 | w | 666 |
| γὰρ | 2 | w | 669 |
| τετράγωνον | 1 | w | 679 |
| τὸ | 9 | w | 681 |
| Γ | 5 | w | 682 |
| Ζ | 1 | w | 683 |
| καὶ | 4 | w | 687 |
| διάμετροι | 2 | w | 696 |
| ἤχθωσαν | 1 | w | 703 |
| αἰ | 1 | w | 705 |
| ΓΖ | 1 | w | 707 |
| Κ | 4 | w | 709 |
| καὶ | 5 | w | 713 |
| ἀπὸ | 2 | w | 716 |
| τοῦ | 7 | w | 719 |
| Θ | 1 | w | 720 |
| πρὸς | 2 | w | 724 |
| ὀρθὰς | 1 | w | 729 |
| ἤχθω | 2 | w | 733 |
| τῷ | 4 | w | 735 |
| ἐπιπέδῳ | 2 | w | 742 |
| ἡ | 1 | w | 743 |
| ΘΒ | 1 | w | 745 |
| τὸ | 10 | w | 748 |
| δὲ | 4 | w | 750 |
| ὄμμα | 4 | w | 754 |
| κείσθω | 2 | w | 760 |
| ἐπὶ | 3 | w | 763 |
| τοῦ | 8 | w | 766 |
| Β | 5 | w | 767 |
| καὶ | 6 | w | 771 |
| προσπιπτέτωσαν | 2 | w | 785 |
| ἀκτῖνες | 2 | w | 792 |
| αἱ | 3 | w | 794 |
| ΚΒ | 1 | w | 796 |
| Β | 7 | w | 798 |
| ΒΓ | 3 | w | 801 |
| ΒΖ | 1 | w | 804 |
| οὐκοῦν | 3 | w | 811 |
| δύο | 1 | w | 814 |
| αἱ | 4 | w | 816 |
| ΖΘ | 1 | w | 818 |
| ΘΒ | 2 | w | 821 |
| δύο | 2 | w | 824 |
| ταῖς | 1 | w | 828 |
| ΓΘ | 1 | w | 830 |
| ΘΒ | 3 | w | 833 |
| ἴσαι | 2 | w | 837 |
| εἰσίν | 1 | w | 842 |
| εἰσὶ | 1 | w | 847 |
| δὲ | 5 | w | 849 |
| καὶ | 7 | w | 852 |
| αἰ | 2 | w | 854 |
| γωνίαι | 1 | w | 860 |
| αἱ | 5 | w | 862 |
| περιεχόμεναι | 1 | w | 874 |
| ὑπʼ | 1 | w | 877 |
| αὐτῶν | 1 | w | 882 |
| ἴσαι | 3 | w | 886 |
| τουτέστιν | 1 | w | 896 |
| αἰ | 3 | w | 898 |
| πρὸς | 3 | w | 902 |
| τῷ | 5 | w | 904 |
| Θ | 7 | w | 905 |
| ἴση | 1 | w | 909 |
| ἄρα | 1 | w | 912 |
| καὶ | 8 | w | 915 |
| ἡ | 2 | w | 916 |
| ΖΒ | 1 | w | 918 |
| βάσις | 1 | w | 923 |
| τῇ | 1 | w | 925 |
| ΒΓ | 4 | w | 927 |
| βάσει | 1 | w | 932 |
| διὰ | 1 | w | 936 |
| τὰ | 2 | w | 938 |
| αὐτὰ | 1 | w | 942 |
| δὴ | 2 | w | 944 |
| καὶ | 9 | w | 947 |
| ἡ | 3 | w | 948 |
| ΚΒ | 2 | w | 950 |
| τῇ | 2 | w | 952 |
| Β | 15 | w | 953 |
| ἴση | 2 | w | 956 |
| ἐστίν | 1 | w | 961 |
| δύο | 3 | w | 965 |
| δὴ | 3 | w | 967 |
| αἱ | 6 | w | 969 |
| Ζ | 6 | w | 970 |
| Β | 16 | w | 971 |
| ΒΓ | 5 | w | 974 |
| δυσὶ | 1 | w | 978 |
| ταῖς | 2 | w | 982 |
| ΚΒ | 3 | w | 984 |
| Β | 19 | w | 986 |
| ἴσαι | 4 | w | 990 |
| εἰσὶν | 1 | w | 995 |
| ἑκατέρα | 1 | w | 1002 |
| ἑκατέρᾳ | 1 | w | 1009 |
| καί | 1 | w | 1013 |
| εἰσιν | 1 | w | 1018 |
| αἱ | 7 | w | 1020 |
| διάμετροι | 3 | w | 1029 |
| ἴσαι | 5 | w | 1033 |
| ὥστε | 1 | w | 1038 |
| καὶ | 10 | w | 1041 |
| αἱ | 8 | w | 1043 |
| πρὸς | 4 | w | 1047 |
| τῷ | 6 | w | 1049 |
| γωνίαι | 2 | w | 1055 |
| ἴσα | 6 | w | 1058 |
| ἔσονται | 1 | w | 1065 |
| τὰ | 4 | w | 1068 |
| δὲ | 6 | w | 1070 |
| ὑπὸ | 1 | w | 1073 |
| ἴσων | 1 | w | 1077 |
| γωνιῶν | 1 | w | 1083 |
| ὁρώμενα | 1 | w | 1090 |
| ἴσα | 7 | w | 1093 |
| φαίνεται | 2 | w | 1101 |
| ἴσαι | 6 | w | 1105 |
| ἄρα | 2 | w | 1108 |
| φανοῦνται | 2 | w | 1117 |
| αἵ | 2 | w | 1119 |
| τε | 7 | w | 1121 |
| διάμετροι | 4 | w | 1130 |
| καὶ | 11 | w | 1133 |
| αἱ | 9 | w | 1135 |
| πλευραὶ | 2 | w | 1142 |
| τὸ | 11 | w | 1144 |
| τετραγώνου | 3 | w | 1154 |
| 2 | 3 | w | 1156 |
| ἄν | 1 | w | 1159 |
| scripsi | 1 | w | 1167 |
| om | 3 | w | 1170 |
| V | 6 | w | 1172 |
| v | 6 | w | 1173 |
| p | 6 | w | 1174 |
| 3 | 1 | w | 1176 |
| ἔγγειον | 3 | w | 1184 |
| V | 7 | w | 1185 |
| 5 | 3 | w | 1187 |
| νζ | 2 | w | 1190 |
| ξεʹ | 1 | w | 1194 |
| p | 7 | w | 1195 |
| ξδ | 1 | w | 1197 |
| V | 8 | w | 1198 |
| m | 6 | w | 1200 |
| 1 | 8 | w | 1202 |
| v | 7 | w | 1203 |
| ξα | 1 | w | 1206 |
| m | 7 | w | 1207 |
| 2 | 4 | w | 1209 |
| v | 8 | w | 1210 |
| 8 | 1 | w | 1212 |
| ἐπὶ | 4 | w | 1216 |
| δέ | 3 | w | 1218 |
| ἐπεὶ | 1 | w | 1223 |
| δή | 1 | w | 1225 |
| v | 9 | w | 1226 |
| ταύτης | 2 | w | 1233 |
| αὐ | 4 | w | 1235 |
| seq | 1 | w | 1238 |
| lac | 1 | w | 1242 |
| 3 | 2 | w | 1244 |
| litt | 1 | w | 1248 |
| v | 10 | w | 1250 |
| 9 | 1 | w | 1252 |
| ἴσοι | 1 | w | 1256 |
| p | 8 | w | 1257 |
| 15 | 2 | w | 1260 |
| Β | 20 | w | 1262 |
| Β | 21 | w | 1264 |
| e | 4 | w | 1265 |
| corr | 3 | w | 1269 |
| Τῆς | 1 | w | 1273 |
| δὲ | 7 | w | 1275 |
| ἀπὸ | 3 | w | 1278 |
| τῶν | 4 | w | 1281 |
| ὀμμάτων | 1 | w | 1288 |
| ἐπὶ | 5 | w | 1291 |
| τὴν | 1 | w | 1294 |
| συναφὴν | 1 | w | 1301 |
| τῶν | 5 | w | 1304 |
| διαμέτρων | 2 | w | 1313 |
| μήτε | 1 | w | 1317 |
| πρὸς | 5 | w | 1321 |
| ὀρθὰς | 2 | w | 1326 |
| οὔσης | 1 | w | 1331 |
| τῷ | 7 | w | 1333 |
| ἐπιπέδῳ | 3 | w | 1340 |
| μήτε | 2 | w | 1344 |
| ἴσης | 1 | w | 1348 |
| ἑκατέρᾳ | 2 | w | 1355 |
| τῶν | 6 | w | 1358 |
| ἀπὸ | 4 | w | 1361 |
| τῆς | 2 | w | 1364 |
| συναφῆς | 2 | w | 1371 |
| πρὸς | 6 | w | 1375 |
| τὰς | 1 | w | 1378 |
| γωνίας | 1 | w | 1384 |
| τοῦ | 9 | w | 1387 |
| τετραγώνου | 4 | w | 1397 |
| ἀγομένων | 1 | w | 1405 |
| μήτε | 3 | w | 1409 |
| ἴσας | 1 | w | 1413 |
| γωνίας | 2 | w | 1419 |
| περιεχούσης | 1 | w | 1430 |
| μετʼ | 1 | w | 1434 |
| αὐτῶν | 2 | w | 1439 |
| αἱ | 10 | w | 1441 |
| διάμετροι | 5 | w | 1450 |
| ἄνισοι | 1 | w | 1456 |
| φανοῦνται | 3 | w | 1465 |
| ὁμοίως | 1 | w | 1472 |
| γὰρ | 3 | w | 1475 |
| δείξομεν | 1 | w | 1483 |
| τὰ | 6 | w | 1485 |
| συμβαίνοντα | 1 | w | 1496 |
| καθάπερ | 1 | w | 1504 |
| καὶ | 12 | w | 1507 |
| ἐν | 2 | w | 1509 |
| τοῖς | 1 | w | 1513 |
| κύκλοις | 1 | w | 1520 |
| 2 | 5 | w | 1522 |
| μήτε | 4 | w | 1527 |
| pr | 2 | w | 1530 |
| μή | 5 | w | 1535 |
| p | 10 | w | 1536 |
| 4 | 2 | w | 1538 |
| ἴσας | 2 | w | 1543 |
| corr | 4 | w | 1548 |
| ex | 2 | w | 1551 |
| ἴσης | 2 | w | 1555 |
| m | 8 | w | 1556 |
| rec | 1 | w | 1560 |
| V | 9 | w | 1562 |
| In | 1 | w | 1565 |
| fine | 1 | w | 1569 |
| τὰ | 7 | w | 1572 |
| πρὸ | 7 | w | 1575 |
| ὀπτικῶν | 1 | w | 1582 |
| Εὐκλείδου | 1 | w | 1591 |
| φίλε | 1 | w | 1595 |
| τέλος | 1 | w | 1600 |
| εἴληφε | 1 | w | 1606 |
| εὐδοκοῦντος | 1 | w | 1617 |
| ᾧ | 1 | w | 1618 |
| δόξα | 1 | w | 1622 |
| p | 11 | w | 1623 |