Euclid, Elements 13.Prop.16

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:13.Prop.16
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126 lemmas; 1,297 tokens (164,768 in work)
word shortdef count work (freq.) corpus core
the 271 31,278 (1898.31) (1391.018) (1055.57)
ΑΒΓ ABC and any other geometric figure 228 28,663 (1739.6) (63.859) (4.86)
εἰμί to be 74 7,795 (473.09) (217.261) (145.55)
ὅς who, that, which: relative pronoun 33 6,494 (394.13) (208.764) (194.16)
καί and, also 81 6,271 (380.6) (544.579) (426.61)
πρός (w. gen.) from; (w. dat.) at, near, in addition to; (w. acc.) to, toward, regarding 16 3,797 (230.45) (56.75) (56.58)
ἄρα particle: 'so' 34 3,765 (228.5) (11.074) (20.24)
ἴσος equal to, the same as; adv. perhaps 15 3,205 (194.52) (9.107) (4.91)
δέ but 26 2,481 (150.58) (249.629) (351.92)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 7 2,465 (149.6) (26.85) (24.12)
ἀπό from, away from. c. gen. 15 2,439 (148.03) (30.074) (22.12)
τῷ therefore, in this wise, thereupon 5 2,095 (127.15) (55.077) (29.07)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 19 1,709 (103.72) (173.647) (126.45)
τῇ here, there 14 1,628 (98.81) (18.312) (12.5)
ὡς as, how 7 1,335 (81.02) (68.814) (63.16)
ἐπεί after, since, when 12 1,107 (67.19) (19.86) (21.4)
γωνία a corner, angle 7 1,078 (65.43) (1.598) (0.07)
οὕτως so, in this manner 5 1,041 (63.18) (28.875) (14.91)
μέγας big, great 3 990 (60.08) (18.419) (25.96)
γάρ for 5 964 (58.51) (110.606) (74.4)
γε at least, at any rate 1 950 (57.66) (24.174) (31.72)
μέν on the one hand, on the other hand 9 906 (54.99) (109.727) (118.8)
ῥητός stated, specified 4 835 (50.68) (0.95) (0.21)
τρίγωνος three-cornered, triangular 9 804 (48.8) (1.412) (0.05)
ὅτι adv. + superl., as...as possible; ὅτι μή except 7 801 (48.61) (49.106) (23.97)
ὅτι2 conj.: that, because 7 801 (48.61) (49.49) (23.92)
δείκνυμι to show 6 737 (44.73) (13.835) (3.57)
βάσις a stepping, step 2 732 (44.43) (0.694) (0.15)
δή [interactional particle: S&H on same page] 13 701 (42.54) (17.728) (33.0)
κύκλος a ring, circle, round 16 686 (41.63) (3.609) (1.17)
μέσος middle, in the middle 2 681 (41.33) (6.769) (4.18)
εὐθύς straight, direct 7 676 (41.03) (5.672) (5.93)
ἔχω to have 1 667 (40.48) (48.945) (46.31)
ὅσπερ the very man who, the very thing which 1 621 (37.69) (5.806) (1.8)
λέγω to pick; to say 2 612 (37.14) (90.021) (57.06)
ὀρθός straight 12 611 (37.08) (3.685) (3.67)
ἐπί on, upon with gen., dat., and acc. 4 601 (36.48) (64.142) (59.77)
λόγος the word 2 597 (36.23) (29.19) (16.1)
δεῖ it is necessary 2 553 (33.56) (13.387) (11.02)
δέω to bind, tie, fetter 2 553 (33.56) (17.994) (15.68)
δέω2 to lack, miss, stand in need of 2 553 (33.56) (17.692) (15.52)
ἐάν if 6 550 (33.38) (23.689) (20.31)
ἐκ from out of 9 536 (32.53) (54.157) (51.9)
ἑκάτερος each of two, either, each singly 5 514 (31.2) (4.115) (3.06)
ἐλάσσων smaller, less 6 482 (29.25) (4.697) (2.29)
σημεῖον a sign, a mark, token 6 473 (28.71) (3.721) (0.94)
ὅς2 [possessive pronoun] 2 472 (28.65) (47.672) (39.01)
ὅμοιος like, resembling 1 471 (28.59) (10.645) (5.05)
λοιπός remaining, the rest 3 468 (28.4) (6.377) (5.2)
ἐπίπεδος to the level of the ground, level 4 439 (26.64) (0.831) (0.39)
διά through c. gen.; because of c. acc. 12 438 (26.58) (56.77) (30.67)
κατά down, against with gen.; according to, throughout with acc. 5 429 (26.04) (76.461) (54.75)
τε and 7 359 (21.79) (62.106) (115.18)
μέρος a part, share 2 357 (21.67) (11.449) (6.76)
περιέχω to encompass, embrace, surround 1 355 (21.55) (2.596) (0.61)
τέμνω to cut, hew 5 349 (21.18) (1.328) (1.33)
δύναμις power, might, strength 2 334 (20.27) (13.589) (8.54)
δύναμαι to be able, capable, strong enough 2 324 (19.66) (12.481) (8.47)
δίδωμι to give 6 311 (18.88) (11.657) (13.85)
ὥστε so that 2 290 (17.6) (10.717) (9.47)
εἰς into, to c. acc. 7 279 (16.93) (66.909) (80.34)
παράλληλος beside one another, side by side 6 278 (16.87) (0.367) (0.12)
ἐπιζεύγνυμι to join at top 9 274 (16.63) (0.238) (0.03)
κέντρον any sharp point 8 256 (15.54) (1.175) (0.21)
ἄγω to lead 1 219 (13.29) (5.181) (10.6)
τμῆμα a part cut off, a section, piece 4 210 (12.75) (0.581) (0.07)
πάλιν back, backwards 3 204 (12.38) (10.367) (6.41)
περιφέρεια the line round a circular body, a periphery, circumference 1 191 (11.59) (0.881) (0.0)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
σύγκειμαι to lie together 1 160 (9.71) (1.059) (0.31)
διάμετρος diametrically opposed; diameter 7 155 (9.41) (0.59) (0.07)
δίχα in two, asunder 2 152 (9.23) (0.555) (0.4)
ἔκκειμαι to be cast out 2 149 (9.04) (0.304) (0.09)
σφαῖρα a ball, playing-ball 9 149 (9.04) (0.909) (0.05)
πλευρόν a rib 8 139 (8.44) (0.336) (0.1)
ἄλογος without 5 135 (8.19) (1.824) (0.47)
ἀφαιρέω to take from, take away from 1 134 (8.13) (2.254) (1.6)
ἰσογώνιος equiangular 1 128 (7.77) (0.092) (0.0)
συνίστημι to set together, combine, associate, unite, band together 2 120 (7.28) (2.685) (1.99)
ἰσόπλευρος with equal sides 16 110 (6.68) (0.142) (0.01)
ἕκαστος every, every one, each, each one 5 103 (6.25) (12.667) (11.08)
ἀπεναντίον the opposite 1 100 (6.07) (0.061) (0.01)
καλέω to call, summon 5 92 (5.58) (10.936) (8.66)
κορυφή the head, top, highest point; 2 92 (5.58) (0.483) (0.72)
πεντάγωνος pentagonal 22 92 (5.58) (0.059) (0.0)
διπλόος twofold, double 2 86 (5.22) (0.673) (0.55)
ἐγγράφω to mark in 6 86 (5.22) (0.277) (0.1)
οὗτος this; that 2 82 (4.98) (133.027) (121.95)
ἕτερος the one; the other (of two) 1 81 (4.92) (18.33) (7.31)
ἀναγράφω to engrave and set up 1 79 (4.79) (0.637) (0.13)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
γραμμή the stroke 2 70 (4.25) (1.361) (0.07)
ἐκβάλλω to throw 1 68 (4.13) (0.986) (1.32)
σχῆμα form, figure, appearance 1 66 (4.01) (4.435) (0.59)
φανερός open to sight, visible, manifest, evident 1 61 (3.7) (2.734) (1.67)
γράφω to scratch, draw, write 2 58 (3.52) (7.064) (2.6)
ἡμικύκλιος semicircular 3 58 (3.52) (0.231) (0.01)
ἄκρος at the furthest point 2 53 (3.22) (1.252) (1.18)
ἡμίσεια half (sc. μοῖρα) 2 53 (3.22) (0.154) (0.15)
ἀνίστημι to make to stand up, raise up 1 49 (2.97) (1.583) (2.13)
οὗ where 1 46 (2.79) (6.728) (4.01)
διάμετρον a measured allowance, rations 2 43 (2.61) (0.16) (0.03)
πενταπλάσιος five-fold 7 38 (2.31) (0.038) (0.01)
ἑξάγωνος hexagonal 12 36 (2.18) (0.049) (0.0)
πενταπλασίων five-fold 7 34 (2.06) (0.025) (0.0)
πόρισμα deduction from a previous demonstration, corollary 1 31 (1.88) (0.045) (0.0)
περιλαμβάνω to seize around, embrace 4 26 (1.58) (0.484) (0.32)
εἰκοσάεδρος of twenty surfaces 11 21 (1.27) (0.02) (0.0)
ἥκω to have come, be present, be here 2 20 (1.21) (2.341) (4.29)
which way, where, whither, in 1 18 (1.09) (4.108) (2.83)
προαγορεύω to tell beforehand 1 16 (0.97) (3.068) (5.36)
ὁμοιότης likeness, resemblance 1 13 (0.79) (0.664) (0.1)
μένω to stay at home, stay where one is, not stir 1 12 (0.73) (4.515) (5.86)
περιφέρω to carry round 1 10 (0.61) (0.248) (0.24)
ἄρχω (to be first) to rule, to begin 1 8 (0.49) (5.82) (8.27)
κυκλόω to encircle, surround 2 8 (0.49) (0.211) (0.34)
ἀποκαθίστημι to re-establish, restore, reinstate 1 7 (0.42) (0.145) (0.32)
ἔρδω to do 1 7 (0.42) (0.716) (1.42)
ὅθεν from where, whence 1 7 (0.42) (2.379) (1.29)
φέρω to bear 1 7 (0.42) (8.129) (10.35)
προσλαμβάνω to take or receive in addition 1 5 (0.3) (0.664) (0.81)
συνάγω to bring together, gather together, collect, convene 1 5 (0.3) (3.016) (1.36)
ἀναστατόω to unsettle, upset 1 4 (0.24) (0.008) (0.0)
εἴκοσι twenty 1 2 (0.12) (0.899) (2.3)
τετραπλόος fourfold 2 2 (0.12) (0.013) (0.02)
σφός their, their own, belonging to them 1 1 (0.06) (0.112) (0.77)

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