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