Euclid, Elements 3.Prop.31

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:3.Prop.31
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65 lemmas; 520 tokens (164,768 in work)
word shortdef count work (freq.) corpus core
περιφέρεια the line round a circular body, a periphery, circumference 4 191 (11.59) (0.881) (0.0)
πόρισμα deduction from a previous demonstration, corollary 1 31 (1.88) (0.045) (0.0)
τετράπλευρος four-sided 2 26 (1.58) (0.038) (0.0)
ἀπεναντίον the opposite 1 100 (6.07) (0.061) (0.01)
ἡμικύκλιος semicircular 8 58 (3.52) (0.231) (0.01)
ἡμικύκλιον semicircle 6 21 (1.27) (0.127) (0.01)
ἐπιζεύγνυμι to join at top 2 274 (16.63) (0.238) (0.03)
τρίγωνος three-cornered, triangular 3 804 (48.8) (1.412) (0.05)
γωνία a corner, angle 22 1,078 (65.43) (1.598) (0.07)
διάμετρος diametrically opposed; diameter 1 155 (9.41) (0.59) (0.07)
εὐθεῖα (γραμμή) straight line 6 437 (26.52) (1.18) (0.07)
τμῆμα a part cut off, a section, piece 14 210 (12.75) (0.581) (0.07)
ἐφεξῆς in order, in a row, one after another 1 16 (0.97) (2.195) (0.2)
κέντρον any sharp point 1 256 (15.54) (1.175) (0.21)
ὀρθόω to set straight 1 21 (1.27) (0.165) (0.35)
διάγω to carry over 1 56 (3.4) (0.532) (0.39)
αὐτόθεν from the very spot 1 2 (0.12) (0.38) (0.52)
περιέχω to encompass, embrace, surround 4 355 (21.55) (2.596) (0.61)
κύκλος a ring, circle, round 5 686 (41.63) (3.609) (1.17)
ἐκτός outside 2 67 (4.07) (1.394) (1.48)
φανερός open to sight, visible, manifest, evident 2 61 (3.7) (2.734) (1.67)
ὅσπερ the very man who, the very thing which 1 621 (37.69) (5.806) (1.8)
δύο two 5 136 (8.25) (1.685) (2.28)
ἐλάσσων smaller, less 17 482 (29.25) (4.697) (2.29)
ἑκάτερος each of two, either, each singly 1 514 (31.2) (4.115) (3.06)
δείκνυμι to show 1 737 (44.73) (13.835) (3.57)
ὀρθός straight 29 611 (37.08) (3.685) (3.67)
ὅλος whole, entire, complete in all its parts 1 421 (25.55) (13.567) (4.4)
ΑΒΓ ABC and any other geometric figure 61 28,663 (1739.6) (63.859) (4.86)
ἴσος equal to, the same as; adv. perhaps 12 3,205 (194.52) (9.107) (4.91)
λοιπός remaining, the rest 1 468 (28.4) (6.377) (5.2)
πάλιν back, backwards 2 204 (12.38) (10.367) (6.41)
εἷς one 1 321 (19.48) (23.591) (10.36)
δεῖ it is necessary 1 553 (33.56) (13.387) (11.02)
τῇ here, there 3 1,628 (98.81) (18.312) (12.5)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
ἔτι yet, as yet, still, besides 2 87 (5.28) (11.058) (14.57)
δέω2 to lack, miss, stand in need of 1 553 (33.56) (17.692) (15.52)
δέω to bind, tie, fetter 1 553 (33.56) (17.994) (15.68)
ἐκεῖνος that over there, that 1 29 (1.76) (22.812) (17.62)
ἄρα particle: 'so' 10 3,765 (228.5) (11.074) (20.24)
ἐάν if 2 550 (33.38) (23.689) (20.31)
ἐπεί after, since, when 6 1,107 (67.19) (19.86) (21.4)
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)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 26 2,465 (149.6) (26.85) (24.12)
μέγας big, great 15 990 (60.08) (18.419) (25.96)
τῷ therefore, in this wise, thereupon 9 2,095 (127.15) (55.077) (29.07)
διά through c. gen.; because of c. acc. 1 438 (26.58) (56.77) (30.67)
γε at least, at any rate 2 950 (57.66) (24.174) (31.72)
δή [interactional particle: S&H on same page] 1 701 (42.54) (17.728) (33.0)
ἐκ from out of 1 536 (32.53) (54.157) (51.9)
λέγω to pick; to say 2 612 (37.14) (90.021) (57.06)
ἐπί on, upon with gen., dat., and acc. 1 601 (36.48) (64.142) (59.77)
γάρ for 1 964 (58.51) (110.606) (74.4)
ἐν in, among. c. dat. 16 591 (35.87) (118.207) (88.06)
τε and 2 359 (21.79) (62.106) (115.18)
μέν on the one hand, on the other hand 6 906 (54.99) (109.727) (118.8)
οὗτος this; that 1 82 (4.98) (133.027) (121.95)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 3 1,709 (103.72) (173.647) (126.45)
εἰμί to be 37 7,795 (473.09) (217.261) (145.55)
ὅς who, that, which: relative pronoun 17 6,494 (394.13) (208.764) (194.16)
δέ but 15 2,481 (150.58) (249.629) (351.92)
καί and, also 21 6,271 (380.6) (544.579) (426.61)
the 89 31,278 (1898.31) (1391.018) (1055.57)

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