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

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