Refs | {'start': {'reference': '21', 'human_reference': 'Section 21'}, 'end': {'reference': '25', 'human_reference': 'Section 25'}} |
---|---|
Ancestors | [] |
Children | [] |
Ἔτι | 1 | w | 3 |
δ | 1 | w | 4 |
ἄτοπον | 1 | w | 11 |
ἄν | 1 | w | 13 |
εἴη | 1 | w | 16 |
διὰ | 1 | w | 19 |
μὲν | 1 | w | 22 |
τὸν | 1 | w | 25 |
Ζήνωνος | 1 | w | 32 |
λόγον | 1 | w | 37 |
παραπεπεῖσθαί | 1 | w | 50 |
τινας | 1 | w | 55 |
ἀτόμους | 1 | w | 62 |
ποιεῖν | 1 | w | 68 |
γραμμάς | 1 | w | 75 |
τῷ | 1 | w | 78 |
μὴ | 1 | w | 80 |
ἔχειν | 1 | w | 85 |
ἀντειπεῖν | 1 | w | 94 |
διὰ | 2 | w | 98 |
δὲ | 1 | w | 100 |
τῆς | 1 | w | 103 |
εὐθείας | 1 | w | 110 |
εἰς | 1 | w | 113 |
τὴν | 1 | w | 116 |
ἡμιόλιον | 1 | w | 124 |
κίνησιν | 1 | w | 131 |
ἢν | 1 | w | 134 |
ἀναγκαῖον | 1 | w | 143 |
εὐθύς | 1 | w | 148 |
τέμνειν | 1 | w | 155 |
ἀπείρων | 1 | w | 162 |
μεταξὺ | 1 | w | 168 |
πιπτουσῶν | 1 | w | 177 |
περιφερειῶν | 1 | w | 188 |
καὶ | 1 | w | 191 |
διαστημάτων | 1 | w | 202 |
ὄντων | 1 | w | 207 |
καὶ | 2 | w | 211 |
πάλιν | 1 | w | 216 |
διὰ | 3 | w | 219 |
τὴν | 2 | w | 222 |
τῶν | 1 | w | 225 |
ἴσων | 1 | w | 229 |
κύκλων | 1 | w | 235 |
εὔπειστον | 1 | w | 244 |
ὅτι | 1 | w | 248 |
ἀνάγκη | 1 | w | 254 |
ἂν | 1 | w | 256 |
ὅτι | 2 | w | 259 |
κινηθῇ | 1 | w | 265 |
μεῖζον | 1 | w | 272 |
ἡμικύκλιον | 1 | w | 282 |
κινεῖσθαι | 1 | w | 291 |
καὶ | 3 | w | 295 |
ὅσα | 1 | w | 298 |
ἄλλα | 1 | w | 302 |
τοιαῦτα | 1 | w | 309 |
τεθεώρηται | 1 | w | 319 |
περὶ | 1 | w | 323 |
τὰς | 1 | w | 326 |
γραμμὰς | 1 | w | 333 |
μὴ | 2 | w | 335 |
οἶόν | 1 | w | 339 |
τε | 3 | w | 341 |
ἐνδέχεσθαι | 1 | w | 351 |
τοιαύτην | 1 | w | 359 |
δή | 1 | w | 361 |
τινα | 2 | w | 365 |
γενέσθαι | 1 | w | 373 |
κίνησιν | 2 | w | 380 |
ὥστ | 1 | w | 383 |
ἐφ | 1 | w | 386 |
ἑκάστην | 1 | w | 394 |
τῶν | 2 | w | 397 |
μεταξὺ | 2 | w | 403 |
μὴ | 3 | w | 405 |
πίπτειν | 1 | w | 412 |
πρότερον | 1 | w | 420 |
πολὺ | 1 | w | 425 |
γὰρ | 1 | w | 428 |
ταῦτα | 1 | w | 433 |
μᾶλλον | 1 | w | 439 |
ὁμολογούμενα | 1 | w | 451 |
ἐκείνων | 1 | w | 458 |
Ὄτι | 1 | w | 462 |
μὲν | 2 | w | 465 |
οὖν | 1 | w | 468 |
ἔκ | 1 | w | 470 |
γε | 2 | w | 472 |
τῶν | 3 | w | 475 |
εἰρημένων | 1 | w | 484 |
λόγων | 1 | w | 489 |
οὔτ | 1 | w | 492 |
ἀναγκαῖον | 2 | w | 502 |
ἀτόμους | 2 | w | 509 |
εἶναι | 1 | w | 514 |
γραμμὰς | 2 | w | 521 |
οὔτε | 1 | w | 525 |
πιθανόν | 1 | w | 532 |
φανερόν | 1 | w | 540 |
Ἔτι | 2 | w | 544 |
δὲ | 2 | w | 546 |
καὶ | 4 | w | 549 |
ἐκ | 2 | w | 551 |
τῶνδε | 1 | w | 556 |
γένοιτ | 1 | w | 562 |
ἂν | 2 | w | 565 |
φανερώτερον | 1 | w | 576 |
Πρῶτον | 1 | w | 583 |
μὲν | 3 | w | 586 |
ἐκ | 3 | w | 588 |
τῶν | 5 | w | 591 |
ἐν | 2 | w | 593 |
τοῖς | 1 | w | 597 |
μαθήμασι | 1 | w | 605 |
δεικνυμένων | 1 | w | 616 |
καὶ | 5 | w | 619 |
τιθεμένων | 1 | w | 628 |
ἃ | 1 | w | 630 |
οὐ | 1 | w | 632 |
δίκαιον | 1 | w | 639 |
ἢ | 2 | w | 640 |
πιστοτέροις | 1 | w | 651 |
λόγοις | 1 | w | 657 |
κινεῖν | 1 | w | 663 |
Οὔτς | 1 | w | 668 |
γὰρ | 2 | w | 671 |
ὁ | 2 | w | 672 |
τῆς | 2 | w | 675 |
γραμμῆς | 1 | w | 682 |
οὔτε | 2 | w | 686 |
ὁ | 3 | w | 687 |
τῆς | 3 | w | 690 |
εὐθείας | 2 | w | 697 |
ὅρος | 1 | w | 701 |
ἐφαρμόσει | 1 | w | 710 |
τῇ | 1 | w | 712 |
ἀτόμῳ | 1 | w | 717 |
διὰ | 4 | w | 720 |
τὸ | 2 | w | 722 |
μήτε | 1 | w | 726 |
μεταξὺ | 3 | w | 732 |
τινῶν | 1 | w | 737 |
εἶναι | 2 | w | 742 |
μήτ | 2 | w | 745 |
ἔχειν | 2 | w | 751 |
μέσον | 1 | w | 756 |
Ἔπειτα | 1 | w | 763 |
πᾶσαι | 1 | w | 768 |
αἱ | 1 | w | 770 |
γραμμαὶ | 1 | w | 777 |
σύμμετροι | 1 | w | 786 |
ἔσονται | 1 | w | 793 |
Πᾶσαι | 1 | w | 799 |
γὰρ | 3 | w | 802 |
ὑπὸ | 1 | w | 805 |
τῶν | 6 | w | 808 |
ἀτόμων | 1 | w | 814 |
μετρηθήσονται | 1 | w | 827 |
αἵ | 1 | w | 830 |
τε | 10 | w | 832 |
μήκει | 1 | w | 837 |
σύμμετροι | 2 | w | 846 |
καὶ | 6 | w | 849 |
αἱ | 2 | w | 851 |
δυνάμει | 1 | w | 858 |
Αἱ | 1 | w | 861 |
δὲ | 3 | w | 863 |
ἄτομοι | 1 | w | 869 |
σύμμετροι | 3 | w | 878 |
πᾶσαι | 2 | w | 883 |
μήκει | 2 | w | 888 |
ἴσαι | 1 | w | 893 |
γάρ | 1 | w | 896 |
ὥστε | 1 | w | 901 |
καὶ | 7 | w | 904 |
δυνάμει | 2 | w | 911 |
Εἰ | 1 | w | 914 |
δὲ | 4 | w | 916 |
τοῦτο | 1 | w | 921 |
διαιρετὸν | 1 | w | 931 |
ἔσται | 1 | w | 936 |
τὸ | 4 | w | 938 |
τετράγωνον | 1 | w | 948 |
Ἔτι | 3 | w | 952 |
εἰ | 3 | w | 954 |
ἡ | 3 | w | 955 |
περὶ | 2 | w | 959 |
τὴν | 3 | w | 962 |
μείζω | 1 | w | 967 |
τὸ | 5 | w | 969 |
πλάτος | 1 | w | 975 |
ποιεῖ | 2 | w | 980 |
παραβαλλομένη | 1 | w | 993 |
τὸ | 6 | w | 996 |
ἴσον | 1 | w | 1000 |
τῶν | 7 | w | 1003 |
ἀπὸ | 1 | w | 1006 |
τῆς | 4 | w | 1009 |
ἀτόμου | 3 | w | 1015 |
καὶ | 8 | w | 1018 |
τῆς | 5 | w | 1021 |
ποδιαίας | 1 | w | 1029 |
παραβαλλομένων | 1 | w | 1043 |
περὶ | 3 | w | 1047 |
τὴν | 4 | w | 1050 |
δίπουν | 1 | w | 1056 |
ἔλαττον | 1 | w | 1063 |
ποιήσει | 1 | w | 1070 |
τὸ | 7 | w | 1072 |
πλάτος | 2 | w | 1078 |
τῆς | 6 | w | 1081 |
ἀμεροῦς | 1 | w | 1088 |
ἔσται | 2 | w | 1094 |
ἔλαττον | 2 | w | 1101 |
τὸ | 8 | w | 1103 |
περὶ | 4 | w | 1107 |
τῆς | 7 | w | 1110 |
ἀτόμου | 4 | w | 1116 |
Ἔτι | 4 | w | 1120 |
εἰ | 4 | w | 1122 |
ἐκ | 4 | w | 1124 |
τριῶν | 1 | w | 1129 |
δοθεισῶν | 1 | w | 1137 |
εὐθειῶν | 1 | w | 1144 |
συνίσταται | 1 | w | 1154 |
τρίγωνον | 1 | w | 1162 |
καὶ | 9 | w | 1166 |
ἐκ | 5 | w | 1168 |
τῶν | 8 | w | 1171 |
ἀτόμων | 2 | w | 1177 |
συσταθήσεται | 1 | w | 1189 |
Ἐν | 1 | w | 1192 |
ἅπαντι | 1 | w | 1198 |
δὲ | 5 | w | 1200 |
ἰσοπλεύρῳ | 1 | w | 1209 |
ἡ | 4 | w | 1210 |
κάθετος | 1 | w | 1217 |
ἐπὶ | 1 | w | 1220 |
μέσην | 1 | w | 1225 |
πίπτει | 2 | w | 1231 |
ὥστε | 2 | w | 1236 |
καὶ | 10 | w | 1239 |
ἐπὶ | 2 | w | 1242 |
τὴν | 5 | w | 1245 |
ἄτομον | 1 | w | 1251 |
Ἔτι | 5 | w | 1255 |
εἰ | 5 | w | 1257 |
τὸ | 9 | w | 1259 |
τετράγωνον | 2 | w | 1269 |
τῶν | 9 | w | 1272 |
ἁμερῶν | 1 | w | 1278 |
διὰ | 5 | w | 1281 |
μέσου | 1 | w | 1286 |
ἐμπεσούσης | 1 | w | 1296 |
καὶ | 11 | w | 1299 |
καθέτου | 1 | w | 1306 |
ἀχθείσης | 1 | w | 1314 |
ἡ | 5 | w | 1316 |
τοῦ | 2 | w | 1319 |
τετραγώνου | 1 | w | 1329 |
πλευρὰ | 1 | w | 1335 |
τὴν | 6 | w | 1338 |
κάθετον | 1 | w | 1345 |
δύναται | 1 | w | 1352 |
καὶ | 12 | w | 1355 |
τὴν | 7 | w | 1358 |
ἡμίσειαν | 1 | w | 1366 |
τῆς | 8 | w | 1369 |
διαμέτρου | 1 | w | 1378 |
ὥστε | 3 | w | 1383 |
οὐκ | 1 | w | 1386 |
ἐλαχίστη | 1 | w | 1394 |