Euclid, Elements 13.Prop.18

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:13.Prop.18
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150 lemmas; 1,525 tokens (164,768 in work)
word shortdef count work (freq.) corpus core
the 359 31,278 (1898.31) (1391.018) (1055.57)
ΑΒΓ ABC and any other geometric figure 208 28,663 (1739.6) (63.859) (4.86)
εἰμί to be 80 7,795 (473.09) (217.261) (145.55)
ὅς who, that, which: relative pronoun 53 6,494 (394.13) (208.764) (194.16)
καί and, also 60 6,271 (380.6) (544.579) (426.61)
πρός (w. gen.) from; (w. dat.) at, near, in addition to; (w. acc.) to, toward, regarding 26 3,797 (230.45) (56.75) (56.58)
ἄρα particle: 'so' 42 3,765 (228.5) (11.074) (20.24)
ἴσος equal to, the same as; adv. perhaps 16 3,205 (194.52) (9.107) (4.91)
δέ but 39 2,481 (150.58) (249.629) (351.92)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 20 2,465 (149.6) (26.85) (24.12)
ἀπό from, away from. c. gen. 49 2,439 (148.03) (30.074) (22.12)
τῷ therefore, in this wise, thereupon 3 2,095 (127.15) (55.077) (29.07)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 5 1,709 (103.72) (173.647) (126.45)
τῇ here, there 12 1,628 (98.81) (18.312) (12.5)
ὡς as, how 9 1,335 (81.02) (68.814) (63.16)
ἐπεί after, since, when 15 1,107 (67.19) (19.86) (21.4)
γωνία a corner, angle 14 1,078 (65.43) (1.598) (0.07)
οὕτως so, in this manner 10 1,041 (63.18) (28.875) (14.91)
μέγας big, great 14 990 (60.08) (18.419) (25.96)
γάρ for 13 964 (58.51) (110.606) (74.4)
γε at least, at any rate 4 950 (57.66) (24.174) (31.72)
τετράγωνος with four equal angles, rectangular 1 914 (55.47) (0.946) (0.15)
μέν on the one hand, on the other hand 13 906 (54.99) (109.727) (118.8)
ῥητός stated, specified 2 835 (50.68) (0.95) (0.21)
τρίγωνος three-cornered, triangular 8 804 (48.8) (1.412) (0.05)
ὅτι adv. + superl., as...as possible; ὅτι μή except 3 801 (48.61) (49.106) (23.97)
ὅτι2 conj.: that, because 3 801 (48.61) (49.49) (23.92)
δείκνυμι to show 6 737 (44.73) (13.835) (3.57)
δή [interactional particle: S&H on same page] 5 701 (42.54) (17.728) (33.0)
κύκλος a ring, circle, round 6 686 (41.63) (3.609) (1.17)
μέσος middle, in the middle 3 681 (41.33) (6.769) (4.18)
εὐθύς straight, direct 1 676 (41.03) (5.672) (5.93)
ὅσπερ the very man who, the very thing which 6 621 (37.69) (5.806) (1.8)
λέγω to pick; to say 8 612 (37.14) (90.021) (57.06)
ὀρθός straight 14 611 (37.08) (3.685) (3.67)
ἐπί on, upon with gen., dat., and acc. 2 601 (36.48) (64.142) (59.77)
λόγος the word 5 597 (36.23) (29.19) (16.1)
ἐν in, among. c. dat. 2 591 (35.87) (118.207) (88.06)
δεῖ it is necessary 3 553 (33.56) (13.387) (11.02)
δέω to bind, tie, fetter 3 553 (33.56) (17.994) (15.68)
δέω2 to lack, miss, stand in need of 3 553 (33.56) (17.692) (15.52)
ἐκ from out of 3 536 (32.53) (54.157) (51.9)
ἑκάτερος each of two, either, each singly 2 514 (31.2) (4.115) (3.06)
ἀλλήλων of one another, to one another, one another 4 483 (29.31) (7.784) (7.56)
ἐλάσσων smaller, less 2 482 (29.25) (4.697) (2.29)
σημεῖον a sign, a mark, token 2 473 (28.71) (3.721) (0.94)
ὅς2 [possessive pronoun] 1 472 (28.65) (47.672) (39.01)
λοιπός remaining, the rest 4 468 (28.4) (6.377) (5.2)
πρότερος before, earlier 2 466 (28.28) (25.424) (23.72)
πρῶτος first 2 462 (28.04) (18.707) (16.57)
ἐπίπεδος to the level of the ground, level 2 439 (26.64) (0.831) (0.39)
διά through c. gen.; because of c. acc. 2 438 (26.58) (56.77) (30.67)
εὐθεῖα (γραμμή) straight line 1 437 (26.52) (1.18) (0.07)
κατά down, against with gen.; according to, throughout with acc. 3 429 (26.04) (76.461) (54.75)
ὅλος whole, entire, complete in all its parts 2 421 (25.55) (13.567) (4.4)
στερεός stiff, stark, firm, solid 6 406 (24.64) (0.816) (0.17)
ἀνάλογος proportionate 2 395 (23.97) (1.072) (0.04)
πλευρά a rib 10 393 (23.85) (1.164) (0.69)
οὐ not 4 372 (22.58) (104.879) (82.22)
τε and 5 359 (21.79) (62.106) (115.18)
περιέχω to encompass, embrace, surround 4 355 (21.55) (2.596) (0.61)
τέμνω to cut, hew 5 349 (21.18) (1.328) (1.33)
δύναμις power, might, strength 11 334 (20.27) (13.589) (8.54)
εἷς one 5 321 (19.48) (23.591) (10.36)
δίδωμι to give 2 311 (18.88) (11.657) (13.85)
ὥστε so that 2 290 (17.6) (10.717) (9.47)
πυραμίς a pyramid 7 280 (16.99) (0.259) (0.19)
εἰς into, to c. acc. 2 279 (16.93) (66.909) (80.34)
ἐπιζεύγνυμι to join at top 4 274 (16.63) (0.238) (0.03)
κέντρον any sharp point 4 256 (15.54) (1.175) (0.21)
either..or; than 1 246 (14.93) (34.073) (23.24)
οὖν so, then, therefore 1 238 (14.44) (34.84) (23.41)
παρά from the side of, c. gen., beside, alongside of, c. dat., to the side of, motion alongside of, c. acc. 3 222 (13.47) (22.709) (26.08)
ἄγω to lead 4 219 (13.29) (5.181) (10.6)
ἀποτομή a cutting off 1 217 (13.17) (0.136) (0.01)
τμῆμα a part cut off, a section, piece 3 210 (12.75) (0.581) (0.07)
πάλιν back, backwards 2 204 (12.38) (10.367) (6.41)
τρεῖς three 6 173 (10.5) (4.87) (3.7)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
κύβος dice 9 162 (9.83) (0.268) (0.05)
δεύτερος second 1 161 (9.77) (6.183) (3.08)
σύγκειμαι to lie together 1 160 (9.71) (1.059) (0.31)
διάμετρος diametrically opposed; diameter 13 155 (9.41) (0.59) (0.07)
δίχα in two, asunder 1 152 (9.23) (0.555) (0.4)
περί around, round about with gen., dat., and acc. 1 151 (9.16) (44.62) (43.23)
ἔκκειμαι to be cast out 1 149 (9.04) (0.304) (0.09)
σφαῖρα a ball, playing-ball 13 149 (9.04) (0.909) (0.05)
πλευρόν a rib 9 139 (8.44) (0.336) (0.1)
τρίτος the third 1 138 (8.38) (4.486) (2.33)
ἄλογος without 1 135 (8.19) (1.824) (0.47)
ἰσογώνιος equiangular 8 128 (7.77) (0.092) (0.0)
τίη why? wherefore? 2 124 (7.53) (26.493) (13.95)
διπλάσιος twofold, double, twice as much as, twice as many as, as long as 5 121 (7.34) (0.715) (0.37)
κεῖμαι to lie; to have been set/put (as perf. pass. of τίθημι) 2 120 (7.28) (3.717) (4.75)
συνίστημι to set together, combine, associate, unite, band together 5 120 (7.28) (2.685) (1.99)
ἰσόπλευρος with equal sides 8 110 (6.68) (0.142) (0.01)
οὐδέ and/but not; not even 2 109 (6.62) (20.427) (22.36)
ἀδύνατος unable, impossible 4 105 (6.37) (4.713) (1.73)
διπλασίων duplicate 5 105 (6.37) (0.438) (0.07)
πολύγωνος polygonal 1 94 (5.7) (0.066) (0.0)
πεντάγωνος pentagonal 8 92 (5.58) (0.059) (0.0)
τέσσαρες four 10 91 (5.52) (2.963) (1.9)
διπλόος twofold, double 11 86 (5.22) (0.673) (0.55)
ἐγγράφω to mark in 2 86 (5.22) (0.277) (0.1)
κάθετος let down,vertical, perpendicular, plumb line 1 83 (5.04) (0.173) (0.01)
ἕτερος the one; the other (of two) 3 81 (4.92) (18.33) (7.31)
ἀναγράφω to engrave and set up 3 79 (4.79) (0.637) (0.13)
τρέω to flee from fear, flee away 1 77 (4.67) (1.989) (2.15)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
τριπλασίων three-fold 1 71 (4.31) (0.041) (0.0)
σχῆμα form, figure, appearance 7 66 (4.01) (4.435) (0.59)
γράφω to scratch, draw, write 1 58 (3.52) (7.064) (2.6)
ἡμικύκλιος semicircular 1 58 (3.52) (0.231) (0.01)
περιγράφω to draw a line round, mark round 1 57 (3.46) (0.181) (0.07)
πέμπτος the fifth, oneself with four others 5 55 (3.34) (0.956) (0.54)
ἄκρος at the furthest point 1 53 (3.22) (1.252) (1.18)
τριπλάσιος thrice as many, thrice as much, thrice as great as 4 52 (3.16) (0.118) (0.04)
πεμπτός sent 4 47 (2.85) (0.859) (0.52)
οὗ where 1 46 (2.79) (6.728) (4.01)
ἅπας quite all, the whole 1 43 (2.61) (10.904) (7.0)
πολύς much, many 3 40 (2.43) (35.28) (44.3)
πενταπλάσιος five-fold 6 38 (2.31) (0.038) (0.01)
τετραπλάσιος fourfold, four times as much 2 38 (2.31) (0.076) (0.01)
ἄκρον the highest or furthest point: mountain top, cape 2 37 (2.25) (0.978) (0.69)
μήν now verily, full surely 1 37 (2.25) (6.388) (6.4)
ἑξάγωνος hexagonal 5 36 (2.18) (0.049) (0.0)
πενταπλασίων five-fold 6 34 (2.06) (0.025) (0.0)
κύβης a dicer, gambler 9 33 (2.0) (0.039) (0.01)
ἄτοπος out of place 1 27 (1.64) (2.003) (0.41)
ἀναστρέφω to turn upside down, upset 1 21 (1.27) (0.356) (0.38)
εἰκοσάεδρος of twenty surfaces 9 21 (1.27) (0.02) (0.0)
ὀρθόω to set straight 1 21 (1.27) (0.165) (0.35)
λῆμμα anything received, income 1 18 (1.09) (0.304) (0.05)
ἀνάπαλιν back again 1 17 (1.03) (0.435) (0.01)
ὀκτάεδρος eight-sided 8 16 (0.97) (0.019) (0.0)
προαγορεύω to tell beforehand 1 16 (0.97) (3.068) (5.36)
δωδεκάεδρος with twelve surfaces 5 15 (0.91) (0.012) (0.0)
πέντε five 5 15 (0.91) (1.584) (2.13)
ἀπέχω to keep off 1 13 (0.79) (1.184) (1.8)
ἕξ six 4 13 (0.79) (0.945) (0.94)
ἡμιόλιος containing one and a half, half as much again 5 11 (0.67) (0.121) (0.09)
οὔτε neither / nor 2 10 (0.61) (13.727) (16.2)
κυκλόω to encircle, surround 1 8 (0.49) (0.211) (0.34)
τριπλόος triple, threefold 4 7 (0.42) (0.034) (0.05)
τοιοῦτος such as this 1 6 (0.36) (20.677) (14.9)
οἷος (such a kind) as; for οἷός τε see οἷος III.2 1 5 (0.3) (16.105) (11.17)
ἐκτίθημι to set out, place outside 1 2 (0.12) (0.724) (0.26)
δίμοιρος divided in two, double 1 1 (0.06) (0.014) (0.0)
ἐπίτριτος one and a third 1 1 (0.06) (0.068) (0.01)
συγκρίνω to compound 1 1 (0.06) (0.236) (0.13)

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