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

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