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

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