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

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