Euclid, Elements 12.Prop.17

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:12.Prop.17
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157 lemmas; 1,627 tokens (164,768 in work)
word shortdef count work (freq.) corpus core
the 331 31,278 (1898.31) (1391.018) (1055.57)
ΑΒΓ ABC and any other geometric figure 259 28,663 (1739.6) (63.859) (4.86)
εἰμί to be 71 7,795 (473.09) (217.261) (145.55)
ὅς who, that, which: relative pronoun 52 6,494 (394.13) (208.764) (194.16)
καί and, also 85 6,271 (380.6) (544.579) (426.61)
πρός (w. gen.) from; (w. dat.) at, near, in addition to; (w. acc.) to, toward, regarding 28 3,797 (230.45) (56.75) (56.58)
ἄρα particle: 'so' 28 3,765 (228.5) (11.074) (20.24)
ἴσος equal to, the same as; adv. perhaps 29 3,205 (194.52) (9.107) (4.91)
δέ but 17 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. 40 2,439 (148.03) (30.074) (22.12)
τῷ therefore, in this wise, thereupon 17 2,095 (127.15) (55.077) (29.07)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 14 1,709 (103.72) (173.647) (126.45)
τῇ here, there 13 1,628 (98.81) (18.312) (12.5)
ὡς as, how 5 1,335 (81.02) (68.814) (63.16)
ἐπεί after, since, when 15 1,107 (67.19) (19.86) (21.4)
οὕτως so, in this manner 3 1,041 (63.18) (28.875) (14.91)
μέγας big, great 17 990 (60.08) (18.419) (25.96)
γάρ for 3 964 (58.51) (110.606) (74.4)
γε at least, at any rate 6 950 (57.66) (24.174) (31.72)
τετράγωνος with four equal angles, rectangular 1 914 (55.47) (0.946) (0.15)
μέν on the one hand, on the other hand 9 906 (54.99) (109.727) (118.8)
τρίγωνος three-cornered, triangular 3 804 (48.8) (1.412) (0.05)
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)
δείκνυμι to show 3 737 (44.73) (13.835) (3.57)
βάσις a stepping, step 4 732 (44.43) (0.694) (0.15)
δή [interactional particle: S&H on same page] 7 701 (42.54) (17.728) (33.0)
κύκλος a ring, circle, round 22 686 (41.63) (3.609) (1.17)
εὐθύς straight, direct 3 676 (41.03) (5.672) (5.93)
ἔχω to have 4 667 (40.48) (48.945) (46.31)
ὅσπερ the very man who, the very thing which 2 621 (37.69) (5.806) (1.8)
λέγω to pick; to say 4 612 (37.14) (90.021) (57.06)
ὀρθός straight 11 611 (37.08) (3.685) (3.67)
ἐπί on, upon with gen., dat., and acc. 20 601 (36.48) (64.142) (59.77)
λόγος the word 5 597 (36.23) (29.19) (16.1)
ἐν in, among. c. dat. 22 591 (35.87) (118.207) (88.06)
ποιέω to make, to do 4 583 (35.38) (29.319) (37.03)
δεῖ it is necessary 3 553 (33.56) (13.387) (11.02)
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)
ἐάν if 5 550 (33.38) (23.689) (20.31)
ἐκ from out of 6 536 (32.53) (54.157) (51.9)
ἑκάτερος each of two, either, each singly 8 514 (31.2) (4.115) (3.06)
ἀλλήλων of one another, to one another, one another 3 483 (29.31) (7.784) (7.56)
ἐλάσσων smaller, less 13 482 (29.25) (4.697) (2.29)
σημεῖον a sign, a mark, token 9 473 (28.71) (3.721) (0.94)
ὅς2 [possessive pronoun] 6 472 (28.65) (47.672) (39.01)
ὅμοιος like, resembling 5 471 (28.59) (10.645) (5.05)
λοιπός remaining, the rest 6 468 (28.4) (6.377) (5.2)
ἐπίπεδος to the level of the ground, level 21 439 (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 6 437 (26.52) (1.18) (0.07)
κατά down, against with gen.; according to, throughout with acc. 8 429 (26.04) (76.461) (54.75)
ὅλος whole, entire, complete in all its parts 4 421 (25.55) (13.567) (4.4)
στερεός stiff, stark, firm, solid 11 406 (24.64) (0.816) (0.17)
ἀλλά otherwise, but 2 400 (24.28) (54.595) (46.87)
πλευρά a rib 4 393 (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; 3 360 (21.85) (97.86) (78.95)
περιέχω to encompass, embrace, surround 1 355 (21.55) (2.596) (0.61)
τέμνω to cut, hew 1 349 (21.18) (1.328) (1.33)
παραλληλόγραμμος bounded by parallel lines 1 323 (19.6) (0.204) (0.0)
εἷς one 7 321 (19.48) (23.591) (10.36)
ὥστε so that 4 290 (17.6) (10.717) (9.47)
πυραμίς a pyramid 9 280 (16.99) (0.259) (0.19)
εἰς into, to c. acc. 8 279 (16.93) (66.909) (80.34)
παράλληλος beside one another, side by side 8 278 (16.87) (0.367) (0.12)
ἐπιζεύγνυμι to join at top 9 274 (16.63) (0.238) (0.03)
κέντρον any sharp point 14 256 (15.54) (1.175) (0.21)
μή not 4 254 (15.42) (50.606) (37.36)
either..or; than 8 246 (14.93) (34.073) (23.24)
οὖν so, then, therefore 1 238 (14.44) (34.84) (23.41)
ἄγω to lead 5 219 (13.29) (5.181) (10.6)
κοινός common, shared in common 2 210 (12.75) (6.539) (4.41)
περιφέρεια the line round a circular body, a periphery, circumference 1 191 (11.59) (0.881) (0.0)
τρεῖς three 1 173 (10.5) (4.87) (3.7)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
σύγκειμαι to lie together 1 160 (9.71) (1.059) (0.31)
διάμετρος diametrically opposed; diameter 9 155 (9.41) (0.59) (0.07)
περί around, round about with gen., dat., and acc. 7 151 (9.16) (44.62) (43.23)
σφαῖρα a ball, playing-ball 37 149 (9.04) (0.909) (0.05)
πλευρόν a rib 2 139 (8.44) (0.336) (0.1)
διαιρέω to take one from another, to cleave in twain, to divide into parts 1 138 (8.38) (3.133) (1.05)
ἀφαιρέω to take from, take away from 1 134 (8.13) (2.254) (1.6)
πᾶς all, the whole 3 134 (8.13) (59.665) (51.63)
τίη why? wherefore? 4 124 (7.53) (26.493) (13.95)
τουτέστι that is to say 2 122 (7.4) (4.259) (0.0)
διπλάσιος twofold, double, twice as much as, twice as many as, as long as 4 121 (7.34) (0.715) (0.37)
συνίστημι to set together, combine, associate, unite, band together 2 120 (7.28) (2.685) (1.99)
γίγνομαι become, be born 1 116 (7.04) (53.204) (45.52)
ἰσόπλευρος with equal sides 1 110 (6.68) (0.142) (0.01)
διπλασίων duplicate 4 105 (6.37) (0.438) (0.07)
ἕκαστος every, every one, each, each one 3 103 (6.25) (12.667) (11.08)
τυγχάνω (with gen.) to hit the mark, to get; (with pple) to happen to, to actually 1 97 (5.89) (6.305) (6.41)
πολύγωνος polygonal 2 94 (5.7) (0.066) (0.0)
ἐφάπτω to bind on, mid. touch 1 92 (5.58) (0.347) (0.3)
κορυφή the head, top, highest point; 3 92 (5.58) (0.483) (0.72)
ἤπερ than at all, than even 3 89 (5.4) (0.355) (0.06)
ἔτι yet, as yet, still, besides 1 87 (5.28) (11.058) (14.57)
διπλόος twofold, double 1 86 (5.22) (0.673) (0.55)
ἐγγράφω to mark in 7 86 (5.22) (0.277) (0.1)
κάθετος let down,vertical, perpendicular, plumb line 4 83 (5.04) (0.173) (0.01)
ἕτερος the one; the other (of two) 10 81 (4.92) (18.33) (7.31)
ἀναγράφω to engrave and set up 1 79 (4.79) (0.637) (0.13)
στερεόω to make firm 1 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)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
τριπλασίων three-fold 5 71 (4.31) (0.041) (0.0)
ὁμόλογος agreeing, of one mind 3 70 (4.25) (0.074) (0.06)
ἐκβάλλω to throw 2 68 (4.13) (0.986) (1.32)
σχῆμα form, figure, appearance 2 66 (4.01) (4.435) (0.59)
ὅσος as much/many as 1 65 (3.94) (13.469) (13.23)
φανερός open to sight, visible, manifest, evident 1 61 (3.7) (2.734) (1.67)
γράφω to scratch, draw, write 1 58 (3.52) (7.064) (2.6)
ἡμικύκλιος semicircular 6 58 (3.52) (0.231) (0.01)
διάγω to carry over 2 56 (3.4) (0.532) (0.39)
τοσοῦτος so large, so tall 1 56 (3.4) (5.396) (4.83)
ἀνίστημι to make to stand up, raise up 1 49 (2.97) (1.583) (2.13)
ἅπτω to fasten, bind fast; mid. touch 1 49 (2.97) (1.959) (1.39)
ἵημι to set a going, put in motion 2 49 (2.97) (12.618) (6.1)
οὗ where 1 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 4 43 (2.61) (0.16) (0.03)
μεταξύ betwixt, between 1 42 (2.55) (2.792) (1.7)
πολύς much, many 1 40 (2.43) (35.28) (44.3)
τομή stump, section 2 40 (2.43) (0.465) (0.08)
πίπτω to fall, fall down 2 37 (2.25) (1.713) (3.51)
κατασκευάζω to equip 1 32 (1.94) (1.81) (0.77)
πόρισμα deduction from a previous demonstration, corollary 1 31 (1.88) (0.045) (0.0)
διάστημα an interval 1 30 (1.82) (1.324) (0.56)
συμπληρόω to help to fill 1 29 (1.76) (0.181) (0.05)
τετράπλευρος four-sided 10 26 (1.58) (0.038) (0.0)
πολύεδρος polyhedral 14 25 (1.52) (0.013) (0.01)
καθά according as, just as 1 22 (1.34) (5.439) (4.28)
ἠπειρωτικός continental 3 21 (1.27) (0.162) (0.05)
ἡμικύκλιον semicircle 2 21 (1.27) (0.127) (0.01)
ἀπολαμβάνω to take away, receive one’s due, cut off 1 20 (1.21) (0.609) (0.61)
ἥκω to have come, be present, be here 1 20 (1.21) (2.341) (4.29)
ἐπιφάνεια manifestation, visible surface 9 18 (1.09) (0.971) (0.48)
συμβάλλω to throw together, dash together 2 17 (1.03) (0.862) (1.93)
μένω to stay at home, stay where one is, not stir 1 12 (0.73) (4.515) (5.86)
πολύγωνον polygon 1 11 (0.67) (0.016) (0.0)
νοέω to perceive by the eyes, observe, notice 2 10 (0.61) (3.216) (1.77)
ὅστις indef. relative or indirect interrogative 1 10 (0.61) (5.663) (6.23)
περιφέρω to carry round 1 10 (0.61) (0.248) (0.24)
ψαύω to touch 5 9 (0.55) (0.234) (0.27)
δηλαδή quite clearly, manifestly 1 8 (0.49) (0.264) (0.04)
οἷος (such a kind) as; for οἷός τε see οἷος III.2 1 5 (0.3) (16.105) (11.17)
ἀρτιόπλευρος having an even number of sides 1 4 (0.24) (0.002) (0.0)
ὁμοταγής ranged in the same row 2 4 (0.24) (0.01) (0.0)
τεταρτημόριον a fourth part, quadrans 4 4 (0.24) (0.061) (0.01)
σφαιρόω to make spherical 2 2 (0.12) (0.072) (0.01)
ἐπινοέω to think on 1 1 (0.06) (0.554) (0.45)
θέσις a setting, placing, arranging 1 1 (0.06) (1.601) (0.25)
τεταρτημόριος holding a τετάρτη (τέταρτος ΙΙΙ.2a) 1 1 (0.06) (0.021) (0.0)

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