Euclid, Elements 13.Prop.18

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:13.Prop.18
read in Scaife Viewer
passage citation
e.g. 3 or 2.5 or 7.1-7.50 (as appropriate for text)
frequency filter (per 10k)

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)
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)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 5 1,709 (103.72) (173.647) (126.45)
μέν on the one hand, on the other hand 13 906 (54.99) (109.727) (118.8)
τε and 5 359 (21.79) (62.106) (115.18)
ἐν in, among. c. dat. 2 591 (35.87) (118.207) (88.06)
οὐ not 4 372 (22.58) (104.879) (82.22)
εἰς into, to c. acc. 2 279 (16.93) (66.909) (80.34)
γάρ for 13 964 (58.51) (110.606) (74.4)
ὡς as, how 9 1,335 (81.02) (68.814) (63.16)
ἐπί on, upon with gen., dat., and acc. 2 601 (36.48) (64.142) (59.77)
λέγω to pick; to say 8 612 (37.14) (90.021) (57.06)
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)
κατά down, against with gen.; according to, throughout with acc. 3 429 (26.04) (76.461) (54.75)
ἐκ from out of 3 536 (32.53) (54.157) (51.9)
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)
δή [interactional particle: S&H on same page] 5 701 (42.54) (17.728) (33.0)
γε at least, at any rate 4 950 (57.66) (24.174) (31.72)
διά through c. gen.; because of c. acc. 2 438 (26.58) (56.77) (30.67)
τῷ therefore, in this wise, thereupon 3 2,095 (127.15) (55.077) (29.07)
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)
μέγας big, great 14 990 (60.08) (18.419) (25.96)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 20 2,465 (149.6) (26.85) (24.12)
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)
πρότερος before, earlier 2 466 (28.28) (25.424) (23.72)
οὖν so, then, therefore 1 238 (14.44) (34.84) (23.41)
either..or; than 1 246 (14.93) (34.073) (23.24)
οὐδέ and/but not; not even 2 109 (6.62) (20.427) (22.36)
ἀπό from, away from. c. gen. 49 2,439 (148.03) (30.074) (22.12)
ἐπεί after, since, when 15 1,107 (67.19) (19.86) (21.4)
ἄρα particle: 'so' 42 3,765 (228.5) (11.074) (20.24)
πρῶτος first 2 462 (28.04) (18.707) (16.57)
οὔτε neither / nor 2 10 (0.61) (13.727) (16.2)
λόγος the word 5 597 (36.23) (29.19) (16.1)
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)
οὕτως so, in this manner 10 1,041 (63.18) (28.875) (14.91)
τοιοῦτος such as this 1 6 (0.36) (20.677) (14.9)
τίη why? wherefore? 2 124 (7.53) (26.493) (13.95)
δίδωμι to give 2 311 (18.88) (11.657) (13.85)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
τῇ here, there 12 1,628 (98.81) (18.312) (12.5)
οἷος (such a kind) as; for οἷός τε see οἷος III.2 1 5 (0.3) (16.105) (11.17)
δεῖ it is necessary 3 553 (33.56) (13.387) (11.02)
ἄγω to lead 4 219 (13.29) (5.181) (10.6)
εἷς one 5 321 (19.48) (23.591) (10.36)
ὥστε so that 2 290 (17.6) (10.717) (9.47)
δύναμις power, might, strength 11 334 (20.27) (13.589) (8.54)
ἀλλήλων of one another, to one another, one another 4 483 (29.31) (7.784) (7.56)
ἕτερος the one; the other (of two) 3 81 (4.92) (18.33) (7.31)
ἅπας quite all, the whole 1 43 (2.61) (10.904) (7.0)
πάλιν back, backwards 2 204 (12.38) (10.367) (6.41)
μήν now verily, full surely 1 37 (2.25) (6.388) (6.4)
εὐθύς straight, direct 1 676 (41.03) (5.672) (5.93)
προαγορεύω to tell beforehand 1 16 (0.97) (3.068) (5.36)
λοιπός remaining, the rest 4 468 (28.4) (6.377) (5.2)
ἴσος equal to, the same as; adv. perhaps 16 3,205 (194.52) (9.107) (4.91)
ΑΒΓ ABC and any other geometric figure 208 28,663 (1739.6) (63.859) (4.86)
κεῖμαι to lie; to have been set/put (as perf. pass. of τίθημι) 2 120 (7.28) (3.717) (4.75)
ὅλος whole, entire, complete in all its parts 2 421 (25.55) (13.567) (4.4)
μέσος middle, in the middle 3 681 (41.33) (6.769) (4.18)
οὗ where 1 46 (2.79) (6.728) (4.01)
τρεῖς three 6 173 (10.5) (4.87) (3.7)
ὀρθός straight 14 611 (37.08) (3.685) (3.67)
δείκνυμι to show 6 737 (44.73) (13.835) (3.57)
δεύτερος second 1 161 (9.77) (6.183) (3.08)
ἑκάτερος each of two, either, each singly 2 514 (31.2) (4.115) (3.06)
γράφω to scratch, draw, write 1 58 (3.52) (7.064) (2.6)
τρίτος the third 1 138 (8.38) (4.486) (2.33)
ἐλάσσων smaller, less 2 482 (29.25) (4.697) (2.29)
τρέω to flee from fear, flee away 1 77 (4.67) (1.989) (2.15)
πέντε five 5 15 (0.91) (1.584) (2.13)
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)
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)
ἀδύνατος unable, impossible 4 105 (6.37) (4.713) (1.73)
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)
κύκλος a ring, circle, round 6 686 (41.63) (3.609) (1.17)
ἕξ six 4 13 (0.79) (0.945) (0.94)
σημεῖον a sign, a mark, token 2 473 (28.71) (3.721) (0.94)
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)
περιέχω to encompass, embrace, surround 4 355 (21.55) (2.596) (0.61)
σχῆμα form, figure, appearance 7 66 (4.01) (4.435) (0.59)
διπλόος twofold, double 11 86 (5.22) (0.673) (0.55)
πέμπτος the fifth, oneself with four others 5 55 (3.34) (0.956) (0.54)
πεμπτός sent 4 47 (2.85) (0.859) (0.52)
ἄλογος without 1 135 (8.19) (1.824) (0.47)
ἄτοπος out of place 1 27 (1.64) (2.003) (0.41)
δίχα in two, asunder 1 152 (9.23) (0.555) (0.4)
ἐπίπεδος to the level of the ground, level 2 439 (26.64) (0.831) (0.39)
ἀναστρέφω to turn upside down, upset 1 21 (1.27) (0.356) (0.38)
διπλάσιος twofold, double, twice as much as, twice as many as, as long as 5 121 (7.34) (0.715) (0.37)
ὀρθόω to set straight 1 21 (1.27) (0.165) (0.35)
κυκλόω to encircle, surround 1 8 (0.49) (0.211) (0.34)
σύγκειμαι to lie together 1 160 (9.71) (1.059) (0.31)
ἐκτίθημι to set out, place outside 1 2 (0.12) (0.724) (0.26)
κέντρον any sharp point 4 256 (15.54) (1.175) (0.21)
ῥητός stated, specified 2 835 (50.68) (0.95) (0.21)
πυραμίς a pyramid 7 280 (16.99) (0.259) (0.19)
στερεός stiff, stark, firm, solid 6 406 (24.64) (0.816) (0.17)
τετράγωνος with four equal angles, rectangular 1 914 (55.47) (0.946) (0.15)
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)
ἐγγράφω to mark in 2 86 (5.22) (0.277) (0.1)
πλευρόν a rib 9 139 (8.44) (0.336) (0.1)
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)
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)
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)
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)
ἐπιζεύγνυμι to join at top 4 274 (16.63) (0.238) (0.03)
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)
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)

PAGINATE