Euclid, Elements 12.Prop.12

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:12.Prop.12
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134 lemmas; 1,569 tokens (164,768 in work)
word shortdef count work (freq.) corpus core
the 294 31,278 (1898.31) (1391.018) (1055.57)
ΑΒΓ ABC and any other geometric figure 266 28,663 (1739.6) (63.859) (4.86)
εἰμί to be 44 7,795 (473.09) (217.261) (145.55)
ὅς who, that, which: relative pronoun 65 6,494 (394.13) (208.764) (194.16)
καί and, also 44 6,271 (380.6) (544.579) (426.61)
πρός (w. gen.) from; (w. dat.) at, near, in addition to; (w. acc.) to, toward, regarding 80 3,797 (230.45) (56.75) (56.58)
ἄρα particle: 'so' 29 3,765 (228.5) (11.074) (20.24)
ἴσος equal to, the same as; adv. perhaps 9 3,205 (194.52) (9.107) (4.91)
δέ but 36 2,481 (150.58) (249.629) (351.92)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 6 2,465 (149.6) (26.85) (24.12)
ἀπό from, away from. c. gen. 2 2,439 (148.03) (30.074) (22.12)
τῷ therefore, in this wise, thereupon 9 2,095 (127.15) (55.077) (29.07)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 11 1,709 (103.72) (173.647) (126.45)
τῇ here, there 2 1,628 (98.81) (18.312) (12.5)
ὡς as, how 21 1,335 (81.02) (68.814) (63.16)
ἐπεί after, since, when 7 1,107 (67.19) (19.86) (21.4)
γωνία a corner, angle 6 1,078 (65.43) (1.598) (0.07)
οὕτως so, in this manner 20 1,041 (63.18) (28.875) (14.91)
μέγας big, great 11 990 (60.08) (18.419) (25.96)
γάρ for 6 964 (58.51) (110.606) (74.4)
τετράγωνος with four equal angles, rectangular 3 914 (55.47) (0.946) (0.15)
μέν on the one hand, on the other hand 22 906 (54.99) (109.727) (118.8)
τρίγωνος three-cornered, triangular 20 804 (48.8) (1.412) (0.05)
ὅτι adv. + superl., as...as possible; ὅτι μή except 5 801 (48.61) (49.106) (23.97)
ὅτι2 conj.: that, because 5 801 (48.61) (49.49) (23.92)
δείκνυμι to show 7 737 (44.73) (13.835) (3.57)
βάσις a stepping, step 27 732 (44.43) (0.694) (0.15)
δή [interactional particle: S&H on same page] 5 701 (42.54) (17.728) (33.0)
κύκλος a ring, circle, round 12 686 (41.63) (3.609) (1.17)
ἔχω to have 23 667 (40.48) (48.945) (46.31)
ὅσπερ the very man who, the very thing which 3 621 (37.69) (5.806) (1.8)
λέγω to pick; to say 3 612 (37.14) (90.021) (57.06)
ὀρθός straight 3 611 (37.08) (3.685) (3.67)
ἐπί on, upon with gen., dat., and acc. 9 601 (36.48) (64.142) (59.77)
λόγος the word 18 597 (36.23) (29.19) (16.1)
ἐν in, among. c. dat. 7 591 (35.87) (118.207) (88.06)
ποιέω to make, to do 1 583 (35.38) (29.319) (37.03)
δεῖ it is necessary 1 553 (33.56) (13.387) (11.02)
δέω to bind, tie, fetter 1 553 (33.56) (17.994) (15.68)
δέω2 to lack, miss, stand in need of 1 553 (33.56) (17.692) (15.52)
ἀλλήλων of one another, to one another, one another 2 483 (29.31) (7.784) (7.56)
ἐλάσσων smaller, less 9 482 (29.25) (4.697) (2.29)
σημεῖον a sign, a mark, token 14 473 (28.71) (3.721) (0.94)
ὅς2 [possessive pronoun] 19 472 (28.65) (47.672) (39.01)
ὅμοιος like, resembling 15 471 (28.59) (10.645) (5.05)
λοιπός remaining, the rest 1 468 (28.4) (6.377) (5.2)
πρότερος before, earlier 1 466 (28.28) (25.424) (23.72)
ἐπίπεδος to the level of the ground, level 1 439 (26.64) (0.831) (0.39)
διά through c. gen.; because of c. acc. 7 438 (26.58) (56.77) (30.67)
εὐθεῖα (γραμμή) straight line 2 437 (26.52) (1.18) (0.07)
κατά down, against with gen.; according to, throughout with acc. 1 429 (26.04) (76.461) (54.75)
ὅλος whole, entire, complete in all its parts 2 421 (25.55) (13.567) (4.4)
στερεός stiff, stark, firm, solid 14 406 (24.64) (0.816) (0.17)
ἀλλά otherwise, but 1 400 (24.28) (54.595) (46.87)
ἀνάλογος proportionate 4 395 (23.97) (1.072) (0.04)
πλευρά a rib 6 393 (23.85) (1.164) (0.69)
οὐ not 2 372 (22.58) (104.879) (82.22)
τις any one, any thing, some one, some thing; 8 360 (21.85) (97.86) (78.95)
τε and 1 359 (21.79) (62.106) (115.18)
μέρος a part, share 5 357 (21.67) (11.449) (6.76)
περιέχω to encompass, embrace, surround 4 355 (21.55) (2.596) (0.61)
τέμνω to cut, hew 2 349 (21.18) (1.328) (1.33)
εἷς one 4 321 (19.48) (23.591) (10.36)
εἰ conj. if, whether; part. w/wishes, adv. w/imperatives 2 308 (18.69) (50.199) (32.23)
ὥστε so that 2 290 (17.6) (10.717) (9.47)
πυραμίς a pyramid 29 280 (16.99) (0.259) (0.19)
εἰς into, to c. acc. 2 279 (16.93) (66.909) (80.34)
ἐπιζεύγνυμι to join at top 4 274 (16.63) (0.238) (0.03)
κέντρον any sharp point 2 256 (15.54) (1.175) (0.21)
μή not 1 254 (15.42) (50.606) (37.36)
either..or; than 18 246 (14.93) (34.073) (23.24)
ἑαυτοῦ himself, herself, themselves 2 238 (14.44) (24.797) (21.7)
οὖν so, then, therefore 1 238 (14.44) (34.84) (23.41)
τμῆμα a part cut off, a section, piece 2 210 (12.75) (0.581) (0.07)
πάλιν back, backwards 3 204 (12.38) (10.367) (6.41)
περιφέρεια the line round a circular body, a periphery, circumference 2 191 (11.59) (0.881) (0.0)
διάμετρος diametrically opposed; diameter 1 155 (9.41) (0.59) (0.07)
δίχα in two, asunder 2 152 (9.23) (0.555) (0.4)
περί around, round about with gen., dat., and acc. 4 151 (9.16) (44.62) (43.23)
πλευρόν a rib 2 139 (8.44) (0.336) (0.1)
ὑπόκειμαι to lie under 1 137 (8.31) (5.461) (0.69)
κῶνος pine cone, cone; (f) pine tree 45 136 (8.25) (0.148) (0.0)
κύλινδρος a roller, cylinder 9 133 (8.07) (0.082) (0.01)
ἰσογώνιος equiangular 1 128 (7.77) (0.092) (0.0)
τίη why? wherefore? 3 124 (7.53) (26.493) (13.95)
τουτέστι that is to say 1 122 (7.4) (4.259) (0.0)
κεῖμαι to lie; to have been set/put (as perf. pass. of τίθημι) 1 120 (7.28) (3.717) (4.75)
οὐδέ and/but not; not even 3 109 (6.62) (20.427) (22.36)
ὑπερέχω to hold sth over or above sth; to excel, outdo 1 106 (6.43) (0.743) (0.38)
ἀδύνατος unable, impossible 2 105 (6.37) (4.713) (1.73)
ἕκαστος every, every one, each, each one 7 103 (6.25) (12.667) (11.08)
ἥμισυς half 4 100 (6.07) (1.26) (1.05)
πολύγωνος polygonal 14 94 (5.7) (0.066) (0.0)
πλῆθος a great number, a throng, crowd, multitude 1 93 (5.64) (4.236) (5.53)
κορυφή the head, top, highest point; 26 92 (5.58) (0.483) (0.72)
ἐναλλάξ crosswise 2 91 (5.52) (0.186) (0.1)
τέσσαρες four 2 91 (5.52) (2.963) (1.9)
ἤπερ than at all, than even 12 89 (5.4) (0.355) (0.06)
ἐγγράφω to mark in 2 86 (5.22) (0.277) (0.1)
οὗτος this; that 1 82 (4.98) (133.027) (121.95)
δυνατός strong, mighty, able 1 81 (4.92) (3.942) (3.03)
στερεόω to make firm 2 78 (4.73) (0.215) (0.0)
ἡγέομαι to lead; to consider, believe 2 76 (4.61) (3.657) (4.98)
ἕπομαι follow 2 73 (4.43) (4.068) (4.18)
τριπλασίων three-fold 18 71 (4.31) (0.041) (0.0)
ὁμόλογος agreeing, of one mind 3 70 (4.25) (0.074) (0.06)
οὗ2 him, her (οὗ οἷ ἕ) 4 56 (3.4) (6.249) (14.54)
τριπλάσιος thrice as many, thrice as much, thrice as great as 1 52 (3.16) (0.118) (0.04)
ἀνίστημι to make to stand up, raise up 7 49 (2.97) (1.583) (2.13)
ἄξων an axle 3 49 (2.97) (0.17) (0.1)
ἵημι to set a going, put in motion 4 49 (2.97) (12.618) (6.1)
οὗ where 4 46 (2.79) (6.728) (4.01)
ἅπας quite all, the whole 2 43 (2.61) (10.904) (7.0)
διάμετρον a measured allowance, rations 2 43 (2.61) (0.16) (0.03)
τρίγων a game at ball 1 38 (2.31) (0.086) (0.0)
ἀεί always, for ever 1 32 (1.94) (7.241) (8.18)
λείπω to leave, quit 1 30 (1.82) (1.614) (4.04)
ἰσοϋψής of equal height 1 23 (1.4) (0.014) (0.02)
καθά according as, just as 2 22 (1.34) (5.439) (4.28)
ἠπειρωτικός continental 3 21 (1.27) (0.162) (0.05)
καθό in so far as, according as 2 21 (1.27) (1.993) (2.46)
ὀρθόω to set straight 1 21 (1.27) (0.165) (0.35)
ὑπεροχή a projection, an eminence 1 20 (1.21) (0.53) (0.24)
which way, where, whither, in 1 18 (1.09) (4.108) (2.83)
ἀνάπαλιν back again 1 17 (1.03) (0.435) (0.01)
στερέω to deprive, bereave, rob of 1 17 (1.03) (0.541) (0.55)
ὁμοιότης likeness, resemblance 4 13 (0.79) (0.664) (0.1)
καταλείπω to leave behind 1 12 (0.73) (1.869) (2.45)
πολύγωνον polygon 1 11 (0.67) (0.016) (0.0)
ὑπολείπω to leave remaining 1 6 (0.36) (0.545) (0.64)
ἀπότμημα anything cut off, piece 1 5 (0.3) (0.003) (0.0)
ἐμπεριέχω encompass, surround, enclose 1 5 (0.3) (0.042) (0.01)
καταλείβω to pour down; 1 5 (0.3) (0.055) (0.03)
ὁμοταγής ranged in the same row 2 4 (0.24) (0.01) (0.0)

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