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

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