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

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