Refs | {'start': {'reference': '1.5', 'human_reference': 'Book 1 Chapter 5'}} |
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Ancestors | [{'reference': '1'}] |
Children | [] |
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ε | 1 | w | 1 |
Ἔστω | 1 | w | 6 |
τρίγωνον | 1 | w | 14 |
ὀξυγώνιον | 1 | w | 23 |
τὸ | 1 | w | 25 |
ΑΒΓ | 1 | w | 28 |
ἔχον | 1 | w | 32 |
τὴν | 1 | w | 35 |
μὲν | 1 | w | 38 |
ΑΒ | 2 | w | 40 |
μονάδων | 1 | w | 47 |
ιγ | 1 | w | 49 |
τὴν | 2 | w | 53 |
δὲ | 1 | w | 55 |
ΒΓ | 2 | w | 57 |
μονάδων | 2 | w | 64 |
ιδ | 1 | w | 66 |
τὴν | 3 | w | 70 |
δὲ | 2 | w | 72 |
ΑΓ | 1 | w | 74 |
μονάδων | 3 | w | 81 |
ιε | 1 | w | 83 |
εὑρεῖν | 1 | w | 90 |
αὐτοῦ | 1 | w | 95 |
τὸ | 2 | w | 97 |
ἐμβαδόν | 1 | w | 104 |
φανερὸν | 1 | w | 112 |
ὅτι | 1 | w | 115 |
ὀξεῖά | 1 | w | 120 |
ἐστιν | 1 | w | 125 |
ἡ | 1 | w | 126 |
πρὸς | 1 | w | 130 |
τῷ | 1 | w | 132 |
Β | 4 | w | 133 |
γωνία | 1 | w | 138 |
τὸ | 3 | w | 141 |
γὰρ | 1 | w | 144 |
ἀπὸ | 1 | w | 147 |
τῆς | 1 | w | 150 |
ΑΓ | 2 | w | 152 |
τετράγωνον | 1 | w | 162 |
ἔλασσον | 1 | w | 169 |
ἐστὶ | 1 | w | 173 |
τῶν | 1 | w | 176 |
ἀπὸ | 2 | w | 179 |
τῶν | 2 | w | 182 |
ΑΒ | 3 | w | 184 |
ΒΓ | 3 | w | 186 |
τετραγώνων | 1 | w | 196 |
κάθετος | 1 | w | 204 |
ἤχθω | 1 | w | 208 |
ἐπὶ | 1 | w | 211 |
τὴν | 4 | w | 214 |
ΒΓ | 4 | w | 216 |
ἡ | 2 | w | 217 |
Α | 6 | w | 218 |
τὸ | 4 | w | 221 |
ἄρα | 1 | w | 224 |
ἀπὸ | 3 | w | 227 |
τῆς | 2 | w | 230 |
ΑΓ | 3 | w | 232 |
τῷ | 2 | w | 234 |
δὶς | 1 | w | 237 |
ὑπὸ | 1 | w | 240 |
τῶν | 3 | w | 243 |
ΓΒ | 1 | w | 245 |
Β | 9 | w | 246 |
ἔλασσόν | 1 | w | 253 |
ἐστι | 2 | w | 257 |
τῶν | 4 | w | 260 |
ἀπὸ | 4 | w | 263 |
τῶν | 5 | w | 266 |
ΑΒ | 4 | w | 268 |
ΒΓ | 5 | w | 270 |
ὡς | 1 | w | 272 |
δέδεικται | 1 | w | 281 |
καὶ | 1 | w | 285 |
ἔστι | 1 | w | 289 |
τὰ | 1 | w | 291 |
μὲν | 2 | w | 294 |
ἀπὸ | 5 | w | 297 |
τῶν | 6 | w | 300 |
ΑΒ | 5 | w | 302 |
ΒΓ | 6 | w | 304 |
μονάδων | 4 | w | 311 |
τξε | 1 | w | 314 |
τὸ | 5 | w | 317 |
δὲ | 3 | w | 319 |
ἀπὸ | 6 | w | 322 |
τῆς | 3 | w | 325 |
ΑΓ | 4 | w | 327 |
μονάδων | 5 | w | 334 |
σ | 10 | w | 335 |
κε | 1 | w | 337 |
λοιπὸν | 1 | w | 344 |
ἄρα | 2 | w | 347 |
τὸ | 6 | w | 349 |
δὶς | 2 | w | 352 |
ὑπὸ | 2 | w | 355 |
τῶν | 7 | w | 358 |
ΓΒ | 2 | w | 360 |
Β | 15 | w | 361 |
μονάδων | 6 | w | 368 |
ρμ | 1 | w | 370 |
τὸ | 7 | w | 373 |
ἄρα | 3 | w | 376 |
ἅπαξ | 1 | w | 380 |
ὑπὸ | 3 | w | 383 |
τῶν | 8 | w | 386 |
ΓΒ | 3 | w | 388 |
Β | 17 | w | 389 |
ἔσται | 1 | w | 394 |
μονάδων | 7 | w | 401 |
ο | 16 | w | 402 |
καὶ | 2 | w | 406 |
ἔστιν | 1 | w | 411 |
ἡ | 3 | w | 412 |
ΒΓ | 7 | w | 414 |
μονάδων | 8 | w | 421 |
ιδ | 2 | w | 423 |
ἡ | 4 | w | 425 |
ἄρα | 4 | w | 428 |
Β | 19 | w | 429 |
ἔσται | 2 | w | 434 |
μονάδων | 9 | w | 441 |
ε | 13 | w | 442 |
καὶ | 3 | w | 446 |
ἐπεὶ | 1 | w | 450 |
τὸ | 8 | w | 452 |
ἀπὸ | 7 | w | 455 |
τῆς | 4 | w | 458 |
ΑΒ | 6 | w | 460 |
ἴσον | 1 | w | 464 |
ἐστὶ | 2 | w | 468 |
1 | 1 | w | 469 |
τῶν | 9 | w | 472 |
ἀπὸ | 8 | w | 475 |
τὸ | 9 | w | 477 |
correxi | 1 | w | 485 |
13 | 1 | w | 487 |
ὀξυγώνιον | 2 | w | 497 |
Heiberg | 1 | w | 505 |
14 | 1 | w | 507 |
lacuna | 1 | w | 513 |
15 | 1 | w | 515 |
litterarum | 1 | w | 525 |
capax | 1 | w | 530 |
supplevi | 1 | w | 539 |
16 | 1 | w | 541 |
spatium | 1 | w | 548 |
14 | 2 | w | 550 |
litterarum | 2 | w | 560 |
supplevi | 2 | w | 569 |
ὅτι | 2 | w | 572 |
cetera | 1 | w | 579 |
dubia | 1 | w | 584 |
f | 1 | w | 586 |
ἐκ | 1 | w | 589 |
τῶν | 10 | w | 592 |
προγεγραμμένων | 1 | w | 606 |
τῷ | 3 | w | 608 |
Α | 12 | w | 609 |
corr | 2 | w | 614 |
Heiberg | 2 | w | 622 |
17 | 1 | w | 624 |
spatium | 2 | w | 631 |
14 | 3 | w | 633 |
litterarum | 3 | w | 643 |
supplevi | 3 | w | 652 |
18 | 1 | w | 654 |
spatium | 3 | w | 661 |
17 | 2 | w | 663 |
litterarum | 4 | w | 673 |
supplevi | 4 | w | 682 |
19 | 1 | w | 684 |
spatium | 4 | w | 691 |
26 | 1 | w | 693 |
litterarum | 5 | w | 703 |
supplevi | 5 | w | 712 |
20 | 1 | w | 714 |
τοῖς | 1 | w | 718 |
ἀπὸ | 9 | w | 721 |
correxi | 2 | w | 729 |
21 | 1 | w | 731 |
spatium | 5 | w | 738 |
14 | 4 | w | 740 |
litterarum | 6 | w | 750 |
fortasse | 1 | w | 759 |
ἐν | 1 | w | 762 |
τοῖς | 2 | w | 766 |
τοῖς | 3 | w | 770 |
ἀπὸ | 10 | w | 773 |
τῶν | 11 | w | 776 |
Α | 13 | w | 777 |
Β | 21 | w | 778 |
καὶ | 4 | w | 782 |
ἔστι | 3 | w | 786 |
τὸ | 10 | w | 788 |
μὲν | 3 | w | 791 |
ἀπὸ | 11 | w | 794 |
τῆς | 5 | w | 797 |
ΑΒ | 7 | w | 799 |
fol | 1 | w | 802 |
69v | 1 | w | 806 |
μονάδων | 10 | w | 813 |
ρξθ | 1 | w | 816 |
τὸ | 11 | w | 819 |
δὲ | 4 | w | 821 |
ἀπὸ | 12 | w | 824 |
τῆς | 6 | w | 827 |
Β | 23 | w | 828 |
μονάδων | 11 | w | 835 |
κε | 2 | w | 837 |
λοιπὸν | 2 | w | 844 |
ἄρα | 5 | w | 847 |
τὸ | 12 | w | 849 |
ἀπὸ | 13 | w | 852 |
τῆς | 7 | w | 855 |
Α | 15 | w | 856 |
ἔσται | 3 | w | 861 |
μονάδων | 12 | w | 868 |
ρμδ | 1 | w | 871 |
αὐτὴ | 1 | w | 876 |
ἄρα | 6 | w | 879 |
ἡ | 5 | w | 880 |
Α | 16 | w | 881 |
ἔσται | 4 | w | 886 |
μονάδων | 13 | w | 893 |
ιβ | 1 | w | 895 |
ἔστι | 4 | w | 900 |
δὲ | 5 | w | 902 |
καὶ | 5 | w | 905 |
ἡ | 6 | w | 906 |
ΒΓ | 8 | w | 908 |
μονάδων | 14 | w | 915 |
ιδ | 3 | w | 917 |
τὸ | 13 | w | 920 |
ἄρα | 7 | w | 923 |
ὑπὸ | 4 | w | 926 |
τῶν | 12 | w | 929 |
ΒΓΑ | 1 | w | 932 |
ἔσται | 5 | w | 937 |
μονάδων | 15 | w | 944 |
ρξη | 1 | w | 947 |
καὶ | 6 | w | 951 |
ἔστι | 5 | w | 955 |
τοῦ | 2 | w | 958 |
ΑΒΓ | 2 | w | 961 |
τριγώνου | 1 | w | 969 |
διπλάσιον | 1 | w | 978 |
τὸ | 14 | w | 981 |
ἄρα | 8 | w | 984 |
ΑΒΓ | 3 | w | 987 |
τρίγωνον | 2 | w | 995 |
ἔσται | 6 | w | 1000 |
μονάδων | 16 | w | 1007 |
πδ | 1 | w | 1009 |
ἡ | 7 | w | 1011 |
δὲ | 6 | w | 1013 |
μέθοδος | 1 | w | 1020 |
ἔσται | 7 | w | 1025 |
τοιαύτη | 1 | w | 1032 |
τὰ | 2 | w | 1035 |
ιγ | 3 | w | 1037 |
ἐφʼ | 1 | w | 1040 |
ἑαυτά | 1 | w | 1045 |
γίγνεται | 1 | w | 1054 |
ρξθ | 2 | w | 1057 |
καὶ | 7 | w | 1061 |
τὰ | 3 | w | 1063 |
ιδ | 4 | w | 1065 |
ἐφʼ | 2 | w | 1068 |
ἑαυτά | 2 | w | 1073 |
γίγνεται | 2 | w | 1082 |
ρ𝔮ϛ | 1 | w | 1085 |
καὶ | 8 | w | 1089 |
τὰ | 4 | w | 1091 |
ιε | 2 | w | 1093 |
ἐφʼ | 3 | w | 1096 |
ἑαυτὰ | 1 | w | 1101 |
γίγνεται | 3 | w | 1110 |
σκε | 1 | w | 1113 |
σύνθες | 1 | w | 1120 |
τὰ | 6 | w | 1122 |
ρξθ | 3 | w | 1125 |
καὶ | 9 | w | 1128 |
τὰ | 7 | w | 1130 |
ρ𝔮ϛ | 2 | w | 1133 |
γίγνεται | 4 | w | 1142 |
τξε | 2 | w | 1145 |
ἀπὸ | 14 | w | 1149 |
τούτων | 1 | w | 1155 |
ἄφελε | 1 | w | 1160 |
τὰ | 8 | w | 1162 |
σκε | 2 | w | 1165 |
γίγνεται | 5 | w | 1174 |
λοιπὰ | 1 | w | 1179 |
ρμ | 3 | w | 1181 |
τούτων | 2 | w | 1188 |
τὸ | 15 | w | 1190 |
ἥμισυ | 1 | w | 1195 |
γίγνεται | 6 | w | 1204 |
ο | 43 | w | 1205 |
παράβαλε | 1 | w | 1214 |
παρὰ | 1 | w | 1218 |
τὸν | 1 | w | 1221 |
ιδ | 5 | w | 1223 |
γίγνεται | 7 | w | 1232 |
ε | 32 | w | 1233 |
καὶ | 10 | w | 1237 |
τὰ | 9 | w | 1239 |
ιγ | 4 | w | 1241 |
ἐφʼ | 4 | w | 1244 |
ἑαυτά | 3 | w | 1249 |
γίγνεται | 8 | w | 1258 |
ρξθ | 4 | w | 1261 |
ἀφʼ | 1 | w | 1265 |
ὧν | 1 | w | 1267 |
ἄφελε | 2 | w | 1272 |
τὰ | 10 | w | 1274 |
ε | 36 | w | 1275 |
ἐφʼ | 5 | w | 1278 |
ἐαυτά | 1 | w | 1283 |
λοιπὰ | 2 | w | 1289 |
ρμδ | 2 | w | 1292 |
τούτων | 3 | w | 1299 |
πλευρὰ | 1 | w | 1305 |
γίγνεται | 9 | w | 1313 |
ιβ | 2 | w | 1315 |
τοσούτου | 1 | w | 1324 |
ἔσται | 8 | w | 1329 |
ἡ | 8 | w | 1330 |
κάθετος | 2 | w | 1337 |
ταῦτα | 1 | w | 1343 |
πολυπλασίασον | 1 | w | 1356 |
ἐπὶ | 2 | w | 1359 |
τὸν | 2 | w | 1362 |
ιδ | 6 | w | 1364 |
γίγνεται | 10 | w | 1373 |
ρξη | 2 | w | 1376 |
τούτων | 4 | w | 1383 |
τὸ | 18 | w | 1385 |
ἥμισυ | 2 | w | 1390 |
πδ | 2 | w | 1392 |
τοσούτου | 2 | w | 1401 |
ἔσται | 9 | w | 1406 |
τὸ | 19 | w | 1408 |
ἐμβαδόν | 2 | w | 1415 |