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
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)
πολύεδρος polyhedral 14 25 (1.52) (0.013) (0.01)
πολύγωνον polygon 1 11 (0.67) (0.016) (0.0)
τεταρτημόριος holding a τετάρτη (τέταρτος ΙΙΙ.2a) 1 1 (0.06) (0.021) (0.0)
τετράπλευρος four-sided 10 26 (1.58) (0.038) (0.0)
τριπλασίων three-fold 5 71 (4.31) (0.041) (0.0)
πόρισμα deduction from a previous demonstration, corollary 1 31 (1.88) (0.045) (0.0)
τεταρτημόριον a fourth part, quadrans 4 4 (0.24) (0.061) (0.01)
πολύγωνος polygonal 2 94 (5.7) (0.066) (0.0)
σφαιρόω to make spherical 2 2 (0.12) (0.072) (0.01)
ὁμόλογος agreeing, of one mind 3 70 (4.25) (0.074) (0.06)
ἡμικύκλιον semicircle 2 21 (1.27) (0.127) (0.01)
ἰσόπλευρος with equal sides 1 110 (6.68) (0.142) (0.01)
διάμετρον a measured allowance, rations 4 43 (2.61) (0.16) (0.03)
ἠπειρωτικός continental 3 21 (1.27) (0.162) (0.05)
κάθετος let down,vertical, perpendicular, plumb line 4 83 (5.04) (0.173) (0.01)
συμπληρόω to help to fill 1 29 (1.76) (0.181) (0.05)
παραλληλόγραμμος bounded by parallel lines 1 323 (19.6) (0.204) (0.0)
στερεόω to make firm 1 78 (4.73) (0.215) (0.0)
ἡμικύκλιος semicircular 6 58 (3.52) (0.231) (0.01)
ψαύω to touch 5 9 (0.55) (0.234) (0.27)
ἐπιζεύγνυμι to join at top 9 274 (16.63) (0.238) (0.03)
περιφέρω to carry round 1 10 (0.61) (0.248) (0.24)
πυραμίς a pyramid 9 280 (16.99) (0.259) (0.19)
δηλαδή quite clearly, manifestly 1 8 (0.49) (0.264) (0.04)
ἐγγράφω to mark in 7 86 (5.22) (0.277) (0.1)
πλευρόν a rib 2 139 (8.44) (0.336) (0.1)
ἐφάπτω to bind on, mid. touch 1 92 (5.58) (0.347) (0.3)
ἤπερ than at all, than even 3 89 (5.4) (0.355) (0.06)
παράλληλος beside one another, side by side 8 278 (16.87) (0.367) (0.12)
διπλασίων duplicate 4 105 (6.37) (0.438) (0.07)
τομή stump, section 2 40 (2.43) (0.465) (0.08)
κορυφή the head, top, highest point; 3 92 (5.58) (0.483) (0.72)
διάγω to carry over 2 56 (3.4) (0.532) (0.39)
ἐπινοέω to think on 1 1 (0.06) (0.554) (0.45)
διάμετρος diametrically opposed; diameter 9 155 (9.41) (0.59) (0.07)
ἀπολαμβάνω to take away, receive one’s due, cut off 1 20 (1.21) (0.609) (0.61)
ἀναγράφω to engrave and set up 1 79 (4.79) (0.637) (0.13)
διπλόος twofold, double 1 86 (5.22) (0.673) (0.55)
βάσις a stepping, step 4 732 (44.43) (0.694) (0.15)
διπλάσιος twofold, double, twice as much as, twice as many as, as long as 4 121 (7.34) (0.715) (0.37)
στερεός stiff, stark, firm, solid 11 406 (24.64) (0.816) (0.17)
ἐπίπεδος to the level of the ground, level 21 439 (26.64) (0.831) (0.39)
συμβάλλω to throw together, dash together 2 17 (1.03) (0.862) (1.93)
περιφέρεια the line round a circular body, a periphery, circumference 1 191 (11.59) (0.881) (0.0)
σφαῖρα a ball, playing-ball 37 149 (9.04) (0.909) (0.05)
τετράγωνος with four equal angles, rectangular 1 914 (55.47) (0.946) (0.15)
ἐπιφάνεια manifestation, visible surface 9 18 (1.09) (0.971) (0.48)
ἐκβάλλω to throw 2 68 (4.13) (0.986) (1.32)
σύγκειμαι to lie together 1 160 (9.71) (1.059) (0.31)
πλευρά a rib 4 393 (23.85) (1.164) (0.69)
κέντρον any sharp point 14 256 (15.54) (1.175) (0.21)
εὐθεῖα (γραμμή) straight line 6 437 (26.52) (1.18) (0.07)
διάστημα an interval 1 30 (1.82) (1.324) (0.56)
τέμνω to cut, hew 1 349 (21.18) (1.328) (1.33)
τρίγωνος three-cornered, triangular 3 804 (48.8) (1.412) (0.05)
ἀνίστημι to make to stand up, raise up 1 49 (2.97) (1.583) (2.13)
θέσις a setting, placing, arranging 1 1 (0.06) (1.601) (0.25)
πίπτω to fall, fall down 2 37 (2.25) (1.713) (3.51)
κατασκευάζω to equip 1 32 (1.94) (1.81) (0.77)
ἅπτω to fasten, bind fast; mid. touch 1 49 (2.97) (1.959) (1.39)
ἀφαιρέω to take from, take away from 1 134 (8.13) (2.254) (1.6)
ἥκω to have come, be present, be here 1 20 (1.21) (2.341) (4.29)
περιέχω to encompass, embrace, surround 1 355 (21.55) (2.596) (0.61)
συνίστημι to set together, combine, associate, unite, band together 2 120 (7.28) (2.685) (1.99)
φανερός open to sight, visible, manifest, evident 1 61 (3.7) (2.734) (1.67)
μεταξύ betwixt, between 1 42 (2.55) (2.792) (1.7)
διαιρέω to take one from another, to cleave in twain, to divide into parts 1 138 (8.38) (3.133) (1.05)
νοέω to perceive by the eyes, observe, notice 2 10 (0.61) (3.216) (1.77)
κύκλος a ring, circle, round 22 686 (41.63) (3.609) (1.17)
ἡγέομαι to lead; to consider, believe 2 76 (4.61) (3.657) (4.98)
ὀρθός straight 11 611 (37.08) (3.685) (3.67)
σημεῖον a sign, a mark, token 9 473 (28.71) (3.721) (0.94)
ἕπομαι follow 2 73 (4.43) (4.068) (4.18)
ἑκάτερος each of two, either, each singly 8 514 (31.2) (4.115) (3.06)
τουτέστι that is to say 2 122 (7.4) (4.259) (0.0)
σχῆμα form, figure, appearance 2 66 (4.01) (4.435) (0.59)
μένω to stay at home, stay where one is, not stir 1 12 (0.73) (4.515) (5.86)
ἐλάσσων smaller, less 13 482 (29.25) (4.697) (2.29)
τρεῖς three 1 173 (10.5) (4.87) (3.7)
ἄγω to lead 5 219 (13.29) (5.181) (10.6)
τοσοῦτος so large, so tall 1 56 (3.4) (5.396) (4.83)
καθά according as, just as 1 22 (1.34) (5.439) (4.28)
ὅστις indef. relative or indirect interrogative 1 10 (0.61) (5.663) (6.23)
εὐθύς straight, direct 3 676 (41.03) (5.672) (5.93)
ὅσπερ the very man who, the very thing which 2 621 (37.69) (5.806) (1.8)
τυγχάνω (with gen.) to hit the mark, to get; (with pple) to happen to, to actually 1 97 (5.89) (6.305) (6.41)
λοιπός remaining, the rest 6 468 (28.4) (6.377) (5.2)
κοινός common, shared in common 2 210 (12.75) (6.539) (4.41)
οὗ where 1 46 (2.79) (6.728) (4.01)
γράφω to scratch, draw, write 1 58 (3.52) (7.064) (2.6)
ἀλλήλων of one another, to one another, one another 3 483 (29.31) (7.784) (7.56)
ἴσος equal to, the same as; adv. perhaps 29 3,205 (194.52) (9.107) (4.91)
ὅμοιος like, resembling 5 471 (28.59) (10.645) (5.05)
ὥστε so that 4 290 (17.6) (10.717) (9.47)
ἅπας quite all, the whole 2 43 (2.61) (10.904) (7.0)
ἔτι yet, as yet, still, besides 1 87 (5.28) (11.058) (14.57)
ἄρα particle: 'so' 28 3,765 (228.5) (11.074) (20.24)
ἵημι to set a going, put in motion 2 49 (2.97) (12.618) (6.1)
ἕκαστος every, every one, each, each one 3 103 (6.25) (12.667) (11.08)
δεῖ it is necessary 3 553 (33.56) (13.387) (11.02)
ὅσος as much/many as 1 65 (3.94) (13.469) (13.23)
ὅλος whole, entire, complete in all its parts 4 421 (25.55) (13.567) (4.4)
δείκνυμι to show 3 737 (44.73) (13.835) (3.57)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
οἷος (such a kind) as; for οἷός τε see οἷος III.2 1 5 (0.3) (16.105) (11.17)
δέω2 to lack, miss, stand in need of 3 553 (33.56) (17.692) (15.52)
δή [interactional particle: S&H on same page] 7 701 (42.54) (17.728) (33.0)
δέω to bind, tie, fetter 3 553 (33.56) (17.994) (15.68)
τῇ here, there 13 1,628 (98.81) (18.312) (12.5)
ἕτερος the one; the other (of two) 10 81 (4.92) (18.33) (7.31)
μέγας big, great 17 990 (60.08) (18.419) (25.96)
ἐπεί after, since, when 15 1,107 (67.19) (19.86) (21.4)
εἷς one 7 321 (19.48) (23.591) (10.36)
ἐάν if 5 550 (33.38) (23.689) (20.31)
γε at least, at any rate 6 950 (57.66) (24.174) (31.72)
τίη why? wherefore? 4 124 (7.53) (26.493) (13.95)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 6 2,465 (149.6) (26.85) (24.12)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
οὕτως so, in this manner 3 1,041 (63.18) (28.875) (14.91)
λόγος the word 5 597 (36.23) (29.19) (16.1)
ποιέω to make, to do 4 583 (35.38) (29.319) (37.03)
ἀπό from, away from. c. gen. 40 2,439 (148.03) (30.074) (22.12)
either..or; than 8 246 (14.93) (34.073) (23.24)
οὖν so, then, therefore 1 238 (14.44) (34.84) (23.41)
πολύς much, many 1 40 (2.43) (35.28) (44.3)
περί around, round about with gen., dat., and acc. 7 151 (9.16) (44.62) (43.23)
ὅς2 [possessive pronoun] 6 472 (28.65) (47.672) (39.01)
ἔχω to have 4 667 (40.48) (48.945) (46.31)
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)
μή not 4 254 (15.42) (50.606) (37.36)
γίγνομαι become, be born 1 116 (7.04) (53.204) (45.52)
ἐκ from out of 6 536 (32.53) (54.157) (51.9)
ἀλλά otherwise, but 2 400 (24.28) (54.595) (46.87)
τῷ therefore, in this wise, thereupon 17 2,095 (127.15) (55.077) (29.07)
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)
διά through c. gen.; because of c. acc. 7 438 (26.58) (56.77) (30.67)
πᾶς all, the whole 3 134 (8.13) (59.665) (51.63)
ΑΒΓ ABC and any other geometric figure 259 28,663 (1739.6) (63.859) (4.86)
ἐπί on, upon with gen., dat., and acc. 20 601 (36.48) (64.142) (59.77)
εἰς into, to c. acc. 8 279 (16.93) (66.909) (80.34)
ὡς as, how 5 1,335 (81.02) (68.814) (63.16)
κατά down, against with gen.; according to, throughout with acc. 8 429 (26.04) (76.461) (54.75)
λέγω to pick; to say 4 612 (37.14) (90.021) (57.06)
τις any one, any thing, some one, some thing; 3 360 (21.85) (97.86) (78.95)
οὐ not 2 372 (22.58) (104.879) (82.22)
μέν on the one hand, on the other hand 9 906 (54.99) (109.727) (118.8)
γάρ for 3 964 (58.51) (110.606) (74.4)
ἐν in, among. c. dat. 22 591 (35.87) (118.207) (88.06)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 14 1,709 (103.72) (173.647) (126.45)
ὅς who, that, which: relative pronoun 52 6,494 (394.13) (208.764) (194.16)
εἰμί to be 71 7,795 (473.09) (217.261) (145.55)
δέ but 17 2,481 (150.58) (249.629) (351.92)
καί and, also 85 6,271 (380.6) (544.579) (426.61)
the 331 31,278 (1898.31) (1391.018) (1055.57)

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