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

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