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

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