Euclid, Elements 13.Prop.11

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:13.Prop.11
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113 lemmas; 902 tokens (164,768 in work)
word shortdef count work (freq.) corpus core
the 212 31,278 (1898.31) (1391.018) (1055.57)
ΑΒΓ ABC and any other geometric figure 150 28,663 (1739.6) (63.859) (4.86)
εἰμί to be 40 7,795 (473.09) (217.261) (145.55)
ἀπό from, away from. c. gen. 35 2,439 (148.03) (30.074) (22.12)
καί and, also 34 6,271 (380.6) (544.579) (426.61)
ὅς who, that, which: relative pronoun 34 6,494 (394.13) (208.764) (194.16)
ἄρα particle: 'so' 30 3,765 (228.5) (11.074) (20.24)
πρός (w. gen.) from; (w. dat.) at, near, in addition to; (w. acc.) to, toward, regarding 29 3,797 (230.45) (56.75) (56.58)
ῥητός stated, specified 16 835 (50.68) (0.95) (0.21)
δέ but 15 2,481 (150.58) (249.629) (351.92)
τῇ here, there 12 1,628 (98.81) (18.312) (12.5)
ὡς as, how 12 1,335 (81.02) (68.814) (63.16)
οὕτως so, in this manner 10 1,041 (63.18) (28.875) (14.91)
διπλόος twofold, double 8 86 (5.22) (0.673) (0.55)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 8 2,465 (149.6) (26.85) (24.12)
ἡμίσεια half (sc. μοῖρα) 8 53 (3.22) (0.154) (0.15)
ἐπεί after, since, when 7 1,107 (67.19) (19.86) (21.4)
ἴσος equal to, the same as; adv. perhaps 7 3,205 (194.52) (9.107) (4.91)
ὅλος whole, entire, complete in all its parts 7 421 (25.55) (13.567) (4.4)
πεντάγωνος pentagonal 7 92 (5.58) (0.059) (0.0)
πενταπλάσιος five-fold 7 38 (2.31) (0.038) (0.01)
σύμμετρος commensurate with 7 727 (44.12) (1.278) (0.14)
ἄλογος without 6 135 (8.19) (1.824) (0.47)
δύναμαι to be able, capable, strong enough 6 324 (19.66) (12.481) (8.47)
μέγας big, great 6 990 (60.08) (18.419) (25.96)
ὅς2 [possessive pronoun] 6 472 (28.65) (47.672) (39.01)
πενταπλασίων five-fold 6 34 (2.06) (0.025) (0.0)
τέταρτος fourth 6 152 (9.23) (1.676) (0.89)
τῷ therefore, in this wise, thereupon 6 2,095 (127.15) (55.077) (29.07)
ἔχω to have 5 667 (40.48) (48.945) (46.31)
λοιπός remaining, the rest 5 468 (28.4) (6.377) (5.2)
τρίγωνος three-cornered, triangular 5 804 (48.8) (1.412) (0.05)
ἀποτομή a cutting off 4 217 (13.17) (0.136) (0.01)
ἀσύμμετρος having no common measure 4 516 (31.32) (0.347) (0.02)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 4 1,709 (103.72) (173.647) (126.45)
ἐλάσσων smaller, less 4 482 (29.25) (4.697) (2.29)
ἐπιζεύγνυμι to join at top 4 274 (16.63) (0.238) (0.03)
καλέω to call, summon 4 92 (5.58) (10.936) (8.66)
λόγος the word 4 597 (36.23) (29.19) (16.1)
τετράγωνος with four equal angles, rectangular 4 914 (55.47) (0.946) (0.15)
γάρ for 3 964 (58.51) (110.606) (74.4)
δή [interactional particle: S&H on same page] 3 701 (42.54) (17.728) (33.0)
διάμετρος diametrically opposed; diameter 3 155 (9.41) (0.59) (0.07)
δύναμις power, might, strength 3 334 (20.27) (13.589) (8.54)
ἐάν if 3 550 (33.38) (23.689) (20.31)
εἷς one 3 321 (19.48) (23.591) (10.36)
κύκλος a ring, circle, round 3 686 (41.63) (3.609) (1.17)
μόνος alone, left alone, forsaken solitary 3 253 (15.35) (19.178) (9.89)
πλευρόν a rib 3 139 (8.44) (0.336) (0.1)
ἀριθμός number 2 972 (58.99) (5.811) (1.1)
γε at least, at any rate 2 950 (57.66) (24.174) (31.72)
γωνία a corner, angle 2 1,078 (65.43) (1.598) (0.07)
δείκνυμι to show 2 737 (44.73) (13.835) (3.57)
διά through c. gen.; because of c. acc. 2 438 (26.58) (56.77) (30.67)
διάμετρον a measured allowance, rations 2 43 (2.61) (0.16) (0.03)
ἑαυτοῦ himself, herself, themselves 2 238 (14.44) (24.797) (21.7)
ἐγγράφω to mark in 2 86 (5.22) (0.277) (0.1)
εἰς into, to c. acc. 2 279 (16.93) (66.909) (80.34)
ἰσογώνιος equiangular 2 128 (7.77) (0.092) (0.0)
ἰσόπλευρος with equal sides 2 110 (6.68) (0.142) (0.01)
λέγω to pick; to say 2 612 (37.14) (90.021) (57.06)
μέρος a part, share 2 357 (21.67) (11.449) (6.76)
ὀρθός straight 2 611 (37.08) (3.685) (3.67)
ὅτι adv. + superl., as...as possible; ὅτι μή except 2 801 (48.61) (49.106) (23.97)
οὐ not 2 372 (22.58) (104.879) (82.22)
οὖν so, then, therefore 2 238 (14.44) (34.84) (23.41)
περιφέρεια the line round a circular body, a periphery, circumference 2 191 (11.59) (0.881) (0.0)
πλευρά a rib 2 393 (23.85) (1.164) (0.69)
προσαρμόζω to fit to, attach closely to 2 80 (4.86) (0.078) (0.05)
σημεῖον a sign, a mark, token 2 473 (28.71) (3.721) (0.94)
συναμφότεροι both together 2 50 (3.03) (0.356) (0.12)
συντίθημι to put together 2 54 (3.28) (1.368) (1.15)
τμῆμα a part cut off, a section, piece 2 210 (12.75) (0.581) (0.07)
ὅτι2 conj.: that, because 2 801 (48.61) (49.49) (23.92)
ἐέ exclamation of pain or grief 2 11 (0.67) (0.993) (0.4)
οὗ2 him, her (οὗ οἷ ἕ) 2 56 (3.4) (6.249) (14.54)
ἄκρον the highest or furthest point: mountain top, cape 1 37 (2.25) (0.978) (0.69)
ἀλλά otherwise, but 1 400 (24.28) (54.595) (46.87)
ἀνάλογος proportionate 1 395 (23.97) (1.072) (0.04)
ἀναστρέφω to turn upside down, upset 1 21 (1.27) (0.356) (0.38)
ἀφαιρέω to take from, take away from 1 134 (8.13) (2.254) (1.6)
γίγνομαι become, be born 1 116 (7.04) (53.204) (45.52)
δεῖ it is necessary 1 553 (33.56) (13.387) (11.02)
δέω to bind, tie, fetter 1 553 (33.56) (17.994) (15.68)
δέω2 to lack, miss, stand in need of 1 553 (33.56) (17.692) (15.52)
διάγω to carry over 1 56 (3.4) (0.532) (0.39)
διπλάσιος twofold, double, twice as much as, twice as many as, as long as 1 121 (7.34) (0.715) (0.37)
ἑκάτερος each of two, either, each singly 1 514 (31.2) (4.115) (3.06)
ἐκεῖνος that over there, that 1 29 (1.76) (22.812) (17.62)
ἔκκειμαι to be cast out 1 149 (9.04) (0.304) (0.09)
ἐπί on, upon with gen., dat., and acc. 1 601 (36.48) (64.142) (59.77)
ἕπομαι follow 1 73 (4.43) (4.068) (4.18)
ἡγέομαι to lead; to consider, believe 1 76 (4.61) (3.657) (4.98)
ἥμισυς half 1 100 (6.07) (1.26) (1.05)
ἵημι to set a going, put in motion 1 49 (2.97) (12.618) (6.1)
κεῖμαι to lie; to have been set/put (as perf. pass. of τίθημι) 1 120 (7.28) (3.717) (4.75)
κέντρον any sharp point 1 256 (15.54) (1.175) (0.21)
κοινός common, shared in common 1 210 (12.75) (6.539) (4.41)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
μέν on the one hand, on the other hand 1 906 (54.99) (109.727) (118.8)
μέσος middle, in the middle 1 681 (41.33) (6.769) (4.18)
μῆκος length 1 413 (25.07) (1.601) (0.86)
οἷος (such a kind) as; for οἷός τε see οἷος III.2 1 5 (0.3) (16.105) (11.17)
ὀρθογώνιον rectangle 1 156 (9.47) (0.226) (0.0)
ὅσπερ the very man who, the very thing which 1 621 (37.69) (5.806) (1.8)
περιέχω to encompass, embrace, surround 1 355 (21.55) (2.596) (0.61)
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)
τε and 1 359 (21.79) (62.106) (115.18)
τέμνω to cut, hew 1 349 (21.18) (1.328) (1.33)
τετραπλάσιος fourfold, four times as much 1 38 (2.31) (0.076) (0.01)
τουτέστι that is to say 1 122 (7.4) (4.259) (0.0)
ὑποτείνω to stretch under, put under 1 67 (4.07) (0.253) (0.03)

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