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)
καί and, also 85 6,271 (380.6) (544.579) (426.61)
δέ but 17 2,481 (150.58) (249.629) (351.92)
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)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 14 1,709 (103.72) (173.647) (126.45)
ἐν in, among. c. dat. 22 591 (35.87) (118.207) (88.06)
γάρ for 3 964 (58.51) (110.606) (74.4)
μέν on the one hand, on the other hand 9 906 (54.99) (109.727) (118.8)
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)
λέγω to pick; to say 4 612 (37.14) (90.021) (57.06)
κατά down, against with gen.; according to, throughout with acc. 8 429 (26.04) (76.461) (54.75)
ὡς as, how 5 1,335 (81.02) (68.814) (63.16)
εἰς into, to c. acc. 8 279 (16.93) (66.909) (80.34)
ἐπί on, upon with gen., dat., and acc. 20 601 (36.48) (64.142) (59.77)
ΑΒΓ ABC and any other geometric figure 259 28,663 (1739.6) (63.859) (4.86)
πᾶς all, the whole 3 134 (8.13) (59.665) (51.63)
διά through c. gen.; because of c. acc. 7 438 (26.58) (56.77) (30.67)
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)
τῷ therefore, in this wise, thereupon 17 2,095 (127.15) (55.077) (29.07)
ἀλλά otherwise, but 2 400 (24.28) (54.595) (46.87)
ἐκ from out of 6 536 (32.53) (54.157) (51.9)
γίγνομαι become, be born 1 116 (7.04) (53.204) (45.52)
μή not 4 254 (15.42) (50.606) (37.36)
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)
ἔχω to have 4 667 (40.48) (48.945) (46.31)
ὅς2 [possessive pronoun] 6 472 (28.65) (47.672) (39.01)
περί around, round about with gen., dat., and acc. 7 151 (9.16) (44.62) (43.23)
πολύς much, many 1 40 (2.43) (35.28) (44.3)
οὖν so, then, therefore 1 238 (14.44) (34.84) (23.41)
either..or; than 8 246 (14.93) (34.073) (23.24)
ἀπό from, away from. c. gen. 40 2,439 (148.03) (30.074) (22.12)
ποιέω to make, to do 4 583 (35.38) (29.319) (37.03)
λόγος the word 5 597 (36.23) (29.19) (16.1)
οὕτως so, in this manner 3 1,041 (63.18) (28.875) (14.91)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 6 2,465 (149.6) (26.85) (24.12)
τίη why? wherefore? 4 124 (7.53) (26.493) (13.95)
γε at least, at any rate 6 950 (57.66) (24.174) (31.72)
ἐάν if 5 550 (33.38) (23.689) (20.31)
εἷς one 7 321 (19.48) (23.591) (10.36)
ἐπεί after, since, when 15 1,107 (67.19) (19.86) (21.4)
μέγας big, great 17 990 (60.08) (18.419) (25.96)
ἕτερος the one; the other (of two) 10 81 (4.92) (18.33) (7.31)
τῇ here, there 13 1,628 (98.81) (18.312) (12.5)
δέω to bind, tie, fetter 3 553 (33.56) (17.994) (15.68)
δή [interactional particle: S&H on same page] 7 701 (42.54) (17.728) (33.0)
δέω2 to lack, miss, stand in need of 3 553 (33.56) (17.692) (15.52)
οἷος (such a kind) as; for οἷός τε see οἷος III.2 1 5 (0.3) (16.105) (11.17)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
δείκνυμι to show 3 737 (44.73) (13.835) (3.57)
ὅλος whole, entire, complete in all its parts 4 421 (25.55) (13.567) (4.4)
ὅσος as much/many as 1 65 (3.94) (13.469) (13.23)
δεῖ it is necessary 3 553 (33.56) (13.387) (11.02)
ἕκαστος every, every one, each, each one 3 103 (6.25) (12.667) (11.08)
ἵημι to set a going, put in motion 2 49 (2.97) (12.618) (6.1)
ἄρα particle: 'so' 28 3,765 (228.5) (11.074) (20.24)
ἔτι yet, as yet, still, besides 1 87 (5.28) (11.058) (14.57)
ἅπας quite all, the whole 2 43 (2.61) (10.904) (7.0)
ὥστε so that 4 290 (17.6) (10.717) (9.47)
ὅμοιος like, resembling 5 471 (28.59) (10.645) (5.05)
ἴσος equal to, the same as; adv. perhaps 29 3,205 (194.52) (9.107) (4.91)
ἀλλήλων of one another, to one another, one another 3 483 (29.31) (7.784) (7.56)
γράφω to scratch, draw, write 1 58 (3.52) (7.064) (2.6)
οὗ where 1 46 (2.79) (6.728) (4.01)
κοινός common, shared in common 2 210 (12.75) (6.539) (4.41)
λοιπός remaining, the rest 6 468 (28.4) (6.377) (5.2)
τυγχάνω (with gen.) to hit the mark, to get; (with pple) to happen to, to actually 1 97 (5.89) (6.305) (6.41)
ὅσπερ the very man who, the very thing which 2 621 (37.69) (5.806) (1.8)
εὐθύς straight, direct 3 676 (41.03) (5.672) (5.93)
ὅστις indef. relative or indirect interrogative 1 10 (0.61) (5.663) (6.23)
καθά according as, just as 1 22 (1.34) (5.439) (4.28)
τοσοῦτος so large, so tall 1 56 (3.4) (5.396) (4.83)
ἄγω to lead 5 219 (13.29) (5.181) (10.6)
τρεῖς three 1 173 (10.5) (4.87) (3.7)
ἐλάσσων smaller, less 13 482 (29.25) (4.697) (2.29)
μένω to stay at home, stay where one is, not stir 1 12 (0.73) (4.515) (5.86)
σχῆμα form, figure, appearance 2 66 (4.01) (4.435) (0.59)
τουτέστι that is to say 2 122 (7.4) (4.259) (0.0)
ἑκάτερος each of two, either, each singly 8 514 (31.2) (4.115) (3.06)
ἕπομαι follow 2 73 (4.43) (4.068) (4.18)
σημεῖον a sign, a mark, token 9 473 (28.71) (3.721) (0.94)
ὀρθός straight 11 611 (37.08) (3.685) (3.67)
ἡγέομαι to lead; to consider, believe 2 76 (4.61) (3.657) (4.98)
κύκλος a ring, circle, round 22 686 (41.63) (3.609) (1.17)
νοέω to perceive by the eyes, observe, notice 2 10 (0.61) (3.216) (1.77)
διαιρέω to take one from another, to cleave in twain, to divide into parts 1 138 (8.38) (3.133) (1.05)
μεταξύ betwixt, between 1 42 (2.55) (2.792) (1.7)
φανερός open to sight, visible, manifest, evident 1 61 (3.7) (2.734) (1.67)
συνίστημι to set together, combine, associate, unite, band together 2 120 (7.28) (2.685) (1.99)
περιέχω to encompass, embrace, surround 1 355 (21.55) (2.596) (0.61)
ἥκω to have come, be present, be here 1 20 (1.21) (2.341) (4.29)
ἀφαιρέω to take from, take away from 1 134 (8.13) (2.254) (1.6)
ἅπτω to fasten, bind fast; mid. touch 1 49 (2.97) (1.959) (1.39)
κατασκευάζω to equip 1 32 (1.94) (1.81) (0.77)
πίπτω to fall, fall down 2 37 (2.25) (1.713) (3.51)
θέσις a setting, placing, arranging 1 1 (0.06) (1.601) (0.25)
ἀνίστημι to make to stand up, raise up 1 49 (2.97) (1.583) (2.13)
τρίγωνος three-cornered, triangular 3 804 (48.8) (1.412) (0.05)
τέμνω to cut, hew 1 349 (21.18) (1.328) (1.33)
διάστημα an interval 1 30 (1.82) (1.324) (0.56)
εὐθεῖα (γραμμή) straight line 6 437 (26.52) (1.18) (0.07)
κέντρον any sharp point 14 256 (15.54) (1.175) (0.21)
πλευρά a rib 4 393 (23.85) (1.164) (0.69)
σύγκειμαι to lie together 1 160 (9.71) (1.059) (0.31)
ἐκβάλλω to throw 2 68 (4.13) (0.986) (1.32)
ἐπιφάνεια manifestation, visible surface 9 18 (1.09) (0.971) (0.48)
τετράγωνος with four equal angles, rectangular 1 914 (55.47) (0.946) (0.15)
σφαῖρα a ball, playing-ball 37 149 (9.04) (0.909) (0.05)
περιφέρεια the line round a circular body, a periphery, circumference 1 191 (11.59) (0.881) (0.0)
συμβάλλω to throw together, dash together 2 17 (1.03) (0.862) (1.93)
ἐπίπεδος to the level of the ground, level 21 439 (26.64) (0.831) (0.39)
στερεός stiff, stark, firm, solid 11 406 (24.64) (0.816) (0.17)
διπλάσιος twofold, double, twice as much as, twice as many as, as long as 4 121 (7.34) (0.715) (0.37)
βάσις a stepping, step 4 732 (44.43) (0.694) (0.15)
διπλόος twofold, double 1 86 (5.22) (0.673) (0.55)
ἀναγράφω to engrave and set up 1 79 (4.79) (0.637) (0.13)
ἀπολαμβάνω to take away, receive one’s due, cut off 1 20 (1.21) (0.609) (0.61)
διάμετρος diametrically opposed; diameter 9 155 (9.41) (0.59) (0.07)
ἐπινοέω to think on 1 1 (0.06) (0.554) (0.45)
διάγω to carry over 2 56 (3.4) (0.532) (0.39)
κορυφή the head, top, highest point; 3 92 (5.58) (0.483) (0.72)
τομή stump, section 2 40 (2.43) (0.465) (0.08)
διπλασίων duplicate 4 105 (6.37) (0.438) (0.07)
παράλληλος beside one another, side by side 8 278 (16.87) (0.367) (0.12)
ἤπερ than at all, than even 3 89 (5.4) (0.355) (0.06)
ἐφάπτω to bind on, mid. touch 1 92 (5.58) (0.347) (0.3)
πλευρόν a rib 2 139 (8.44) (0.336) (0.1)
ἐγγράφω to mark in 7 86 (5.22) (0.277) (0.1)
δηλαδή quite clearly, manifestly 1 8 (0.49) (0.264) (0.04)
πυραμίς a pyramid 9 280 (16.99) (0.259) (0.19)
περιφέρω to carry round 1 10 (0.61) (0.248) (0.24)
ἐπιζεύγνυμι to join at top 9 274 (16.63) (0.238) (0.03)
ψαύω to touch 5 9 (0.55) (0.234) (0.27)
ἡμικύκλιος semicircular 6 58 (3.52) (0.231) (0.01)
στερεόω to make firm 1 78 (4.73) (0.215) (0.0)
παραλληλόγραμμος bounded by parallel lines 1 323 (19.6) (0.204) (0.0)
συμπληρόω to help to fill 1 29 (1.76) (0.181) (0.05)
κάθετος let down,vertical, perpendicular, plumb line 4 83 (5.04) (0.173) (0.01)
ἠπειρωτικός continental 3 21 (1.27) (0.162) (0.05)
διάμετρον a measured allowance, rations 4 43 (2.61) (0.16) (0.03)
ἰσόπλευρος with equal sides 1 110 (6.68) (0.142) (0.01)
ἡμικύκλιον semicircle 2 21 (1.27) (0.127) (0.01)
ὁμόλογος agreeing, of one mind 3 70 (4.25) (0.074) (0.06)
σφαιρόω to make spherical 2 2 (0.12) (0.072) (0.01)
πολύγωνος polygonal 2 94 (5.7) (0.066) (0.0)
τεταρτημόριον a fourth part, quadrans 4 4 (0.24) (0.061) (0.01)
πόρισμα deduction from a previous demonstration, corollary 1 31 (1.88) (0.045) (0.0)
τριπλασίων three-fold 5 71 (4.31) (0.041) (0.0)
τετράπλευρος four-sided 10 26 (1.58) (0.038) (0.0)
τεταρτημόριος holding a τετάρτη (τέταρτος ΙΙΙ.2a) 1 1 (0.06) (0.021) (0.0)
πολύγωνον polygon 1 11 (0.67) (0.016) (0.0)
πολύεδρος polyhedral 14 25 (1.52) (0.013) (0.01)
ὁμοταγής ranged in the same row 2 4 (0.24) (0.01) (0.0)
ἀρτιόπλευρος having an even number of sides 1 4 (0.24) (0.002) (0.0)

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