Refs | {'start': {'reference': '6', 'human_reference': 'Section 6'}, 'end': {'reference': '10', 'human_reference': 'Section 10'}} |
---|---|
Ancestors | [] |
Children | [] |
Εἰ | 1 | w | 2 |
δὲ | 1 | w | 4 |
τοῦτο | 1 | w | 9 |
ἀδύνατον | 1 | w | 17 |
εἴη | 1 | w | 21 |
ἄν | 1 | w | 23 |
τις | 1 | w | 26 |
ἄτομος | 1 | w | 32 |
γραμμή | 1 | w | 38 |
Ἔτι | 1 | w | 42 |
καὶ | 1 | w | 45 |
ἐξ | 1 | w | 47 |
ὦν | 1 | w | 49 |
αὐτοὶ | 1 | w | 54 |
οἱ | 1 | w | 56 |
ἐν | 1 | w | 58 |
τοῖς | 1 | w | 62 |
μαθήμασι | 1 | w | 70 |
λέγουσιν | 1 | w | 78 |
εἴη | 2 | w | 82 |
ἄν | 2 | w | 84 |
τις | 2 | w | 87 |
ἄτομος | 2 | w | 93 |
γραμμή | 2 | w | 99 |
ὡς | 1 | w | 102 |
φασίν | 1 | w | 107 |
εἰ | 1 | w | 110 |
σύμμετροί | 1 | w | 119 |
εἰσὶν | 1 | w | 124 |
αἱ | 1 | w | 126 |
τῷ | 1 | w | 128 |
αὐτῷ | 1 | w | 132 |
μέτρῳ | 1 | w | 137 |
μετρούμεναι | 1 | w | 148 |
ὅσαι | 1 | w | 153 |
δ | 3 | w | 154 |
εἰσὶ | 2 | w | 159 |
σύμμετροι | 1 | w | 168 |
πᾶσαί | 1 | w | 174 |
εἰσι | 1 | w | 178 |
μετρούμεναι | 2 | w | 189 |
Εἴη | 1 | w | 193 |
γὰρ | 1 | w | 196 |
ἄν | 3 | w | 198 |
τι | 4 | w | 200 |
μῆκος | 1 | w | 205 |
πᾶσαι | 1 | w | 210 |
μετρηθήσονται | 1 | w | 223 |
Τοῦτο | 1 | w | 229 |
δ | 4 | w | 230 |
ἀνάγκη | 1 | w | 237 |
ἀδιαίρετον | 1 | w | 247 |
εἶναι | 1 | w | 252 |
Εἰ | 2 | w | 255 |
γὰρ | 2 | w | 258 |
διαιρετόν | 1 | w | 267 |
καὶ | 2 | w | 271 |
τὰ | 1 | w | 273 |
μέρη | 1 | w | 277 |
μέτρου | 1 | w | 283 |
τινὸς | 1 | w | 288 |
ἔσται | 1 | w | 293 |
σύμμετρα | 1 | w | 302 |
γὰρ | 3 | w | 305 |
τῷ | 3 | w | 307 |
ὅλῳ | 1 | w | 310 |
Ὤστε | 1 | w | 315 |
μέρους | 1 | w | 321 |
τινὸς | 2 | w | 326 |
εἴη | 3 | w | 329 |
διπλασία | 1 | w | 337 |
τὴν | 1 | w | 340 |
ἡμίσειαν | 1 | w | 348 |
ἐπειδὴ | 1 | w | 355 |
τοῦτ | 2 | w | 359 |
ἀδύνατον | 2 | w | 368 |
ἂν | 1 | w | 370 |
εἴη | 4 | w | 373 |
μέτρον | 1 | w | 379 |
Ὠσαύτως | 1 | w | 387 |
δὲ | 2 | w | 389 |
καὶ | 3 | w | 392 |
αἱ | 2 | w | 394 |
μετρούμεναι | 3 | w | 405 |
ἅπαξ | 1 | w | 409 |
ὑπ | 1 | w | 411 |
αὐτοῦ | 1 | w | 417 |
ὥσπερ | 1 | w | 423 |
πᾶσαι | 2 | w | 428 |
αἱ | 3 | w | 430 |
ἐκ | 1 | w | 432 |
τοῦ | 4 | w | 435 |
μέτρου | 2 | w | 441 |
σύνθετοι | 1 | w | 449 |
γραμμαί | 1 | w | 456 |
ἐξ | 2 | w | 459 |
ἀμερῶν | 1 | w | 465 |
σύγκεινται | 1 | w | 475 |
Τὸ | 1 | w | 478 |
δ | 11 | w | 479 |
αὐτὸ | 1 | w | 484 |
συμβήσεται | 1 | w | 494 |
κἀν | 1 | w | 497 |
τοῖς | 2 | w | 501 |
ἐπιπέδοις | 1 | w | 510 |
πάντα | 1 | w | 516 |
γὰρ | 4 | w | 519 |
τὰ | 2 | w | 521 |
ἀπὸ | 1 | w | 524 |
τῶν | 1 | w | 527 |
ῥητῶν | 1 | w | 532 |
γραμμῶν | 1 | w | 539 |
σύμμετρα | 2 | w | 547 |
ἀλλήλοις | 1 | w | 555 |
ὥστε | 1 | w | 560 |
ἔσται | 2 | w | 565 |
τὸ | 2 | w | 567 |
μέτρον | 2 | w | 573 |
αὐτῶν | 1 | w | 578 |
ἀμερές | 1 | w | 584 |
Ἀλλὰ | 1 | w | 589 |
μὴν | 1 | w | 592 |
εἴ | 5 | w | 594 |
τι | 7 | w | 596 |
τμηθήσεται | 1 | w | 606 |
μέτρον | 3 | w | 612 |
τινὰ | 1 | w | 616 |
τεταγμένην | 1 | w | 626 |
καὶ | 4 | w | 629 |
ὡρισμένην | 1 | w | 638 |
γραμμήν | 1 | w | 645 |
οὐκ | 1 | w | 649 |
ἔσται | 3 | w | 654 |
οὔτε | 1 | w | 658 |
ῥητὴ | 1 | w | 662 |
οὔτ | 2 | w | 665 |
ἄλογος | 1 | w | 672 |
οὔτε | 2 | w | 677 |
τῶν | 4 | w | 680 |
ἄλλων | 1 | w | 685 |
οὐδεμία | 1 | w | 692 |
ὦν | 2 | w | 694 |
νῦν | 1 | w | 697 |
δὴ | 2 | w | 699 |
εἴρηται | 1 | w | 706 |
οἷον | 1 | w | 711 |
ἀποτομὴν | 1 | w | 719 |
ἐκ | 2 | w | 721 |
δυοῖν | 1 | w | 726 |
ὀνομάτοιν | 1 | w | 735 |
ἀλλὰ | 1 | w | 740 |
καθ | 1 | w | 743 |
αὐτὰς | 1 | w | 749 |
μὲν | 1 | w | 752 |
οὐδέ | 1 | w | 756 |
τινας | 1 | w | 761 |
ἕξουσι | 1 | w | 767 |
φύσεις | 1 | w | 773 |
πρὸς | 1 | w | 778 |
ἀλλήλας | 1 | w | 785 |
δὲ | 3 | w | 787 |
ἔσονται | 1 | w | 794 |
ῥηταὶ | 1 | w | 799 |
καὶ | 5 | w | 802 |
ἄλογοι | 1 | w | 808 |
Ἣ | 1 | w | 810 |
πρῶτον | 1 | w | 816 |
μὲν | 2 | w | 819 |
οὐκ | 2 | w | 822 |
ἀνάγκη | 2 | w | 828 |
τὸ | 3 | w | 830 |
ἀπείρους | 1 | w | 838 |
ἔχον | 1 | w | 842 |
διαιρέσεις | 1 | w | 852 |
μὴ | 3 | w | 854 |
εἶναι | 2 | w | 859 |
μικρὸν | 1 | w | 865 |
καὶ | 6 | w | 868 |
ὀλίγον | 1 | w | 874 |
καὶ | 7 | w | 878 |
γὰρ | 5 | w | 881 |
τόπον | 1 | w | 886 |
καὶ | 8 | w | 889 |
μέγεθος | 1 | w | 896 |
καὶ | 9 | w | 899 |
ὅλως | 1 | w | 903 |
τὸ | 4 | w | 905 |
συνεχὲς | 1 | w | 912 |
μικρὸν | 2 | w | 918 |
μὲν | 3 | w | 921 |
λέγομεν | 1 | w | 928 |
καὶ | 10 | w | 932 |
ἐφ | 1 | w | 934 |
ὦν | 3 | w | 937 |
μὲν | 4 | w | 940 |
ἁρμόττει | 1 | w | 948 |
τὸ | 5 | w | 950 |
ὀλίγον | 2 | w | 956 |
οὐ | 5 | w | 959 |
μὴν | 3 | w | 962 |
ἀλλ | 4 | w | 965 |
ἀπείρους | 2 | w | 974 |
διαιρέσεις | 2 | w | 984 |
φαμὲν | 1 | w | 989 |
ἔχειν | 1 | w | 994 |
Ἔτι | 2 | w | 998 |
δ | 20 | w | 999 |
εἰ | 5 | w | 1002 |
ἐν | 2 | w | 1004 |
τῷ | 4 | w | 1006 |
συνθέτῳ | 1 | w | 1013 |
γραμμαί | 2 | w | 1020 |
κατὰ | 1 | w | 1025 |
τούτων | 1 | w | 1031 |
τῶν | 5 | w | 1034 |
ἀτόμων | 1 | w | 1040 |
λέγεται | 1 | w | 1047 |
τὸ | 6 | w | 1049 |
μικρόν | 1 | w | 1055 |
καὶ | 11 | w | 1059 |
ἄπειροι | 1 | w | 1066 |
στιγμαὶ | 1 | w | 1073 |
ἐνυπάρχουσιν | 1 | w | 1085 |