Euclid, Elements 12.Prop.17

Word List

urn:cts:greekLit:tlg1799.tlg001.perseus-grc2:12.Prop.17
read in Scaife Viewer
passage citation
e.g. 3 or 2.5 or 7.1-7.50 (as appropriate for text)
frequency filter (per 10k)

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)
καί and, also 85 6,271 (380.6) (544.579) (426.61)
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)
ἀπό from, away from. c. gen. 40 2,439 (148.03) (30.074) (22.12)
σφαῖρα a ball, playing-ball 37 149 (9.04) (0.909) (0.05)
ἴσος equal to, the same as; adv. perhaps 29 3,205 (194.52) (9.107) (4.91)
ἄρα particle: 'so' 28 3,765 (228.5) (11.074) (20.24)
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)
ἐν in, among. c. dat. 22 591 (35.87) (118.207) (88.06)
κύκλος a ring, circle, round 22 686 (41.63) (3.609) (1.17)
ἐπίπεδος to the level of the ground, level 21 439 (26.64) (0.831) (0.39)
ἐπί on, upon with gen., dat., and acc. 20 601 (36.48) (64.142) (59.77)
δέ but 17 2,481 (150.58) (249.629) (351.92)
μέγας big, great 17 990 (60.08) (18.419) (25.96)
τῷ therefore, in this wise, thereupon 17 2,095 (127.15) (55.077) (29.07)
ἐπεί after, since, when 15 1,107 (67.19) (19.86) (21.4)
αὐτός unemph. 3rd pers.pronoun; -self; [the] same 14 1,709 (103.72) (173.647) (126.45)
κέντρον any sharp point 14 256 (15.54) (1.175) (0.21)
πολύεδρος polyhedral 14 25 (1.52) (0.013) (0.01)
ἐλάσσων smaller, less 13 482 (29.25) (4.697) (2.29)
τῇ here, there 13 1,628 (98.81) (18.312) (12.5)
ὀρθός straight 11 611 (37.08) (3.685) (3.67)
στερεός stiff, stark, firm, solid 11 406 (24.64) (0.816) (0.17)
ἕτερος the one; the other (of two) 10 81 (4.92) (18.33) (7.31)
τετράπλευρος four-sided 10 26 (1.58) (0.038) (0.0)
διάμετρος diametrically opposed; diameter 9 155 (9.41) (0.59) (0.07)
ἐπιζεύγνυμι to join at top 9 274 (16.63) (0.238) (0.03)
ἐπιφάνεια manifestation, visible surface 9 18 (1.09) (0.971) (0.48)
μέν on the one hand, on the other hand 9 906 (54.99) (109.727) (118.8)
πυραμίς a pyramid 9 280 (16.99) (0.259) (0.19)
σημεῖον a sign, a mark, token 9 473 (28.71) (3.721) (0.94)
εἰς into, to c. acc. 8 279 (16.93) (66.909) (80.34)
ἑκάτερος each of two, either, each singly 8 514 (31.2) (4.115) (3.06)
either..or; than 8 246 (14.93) (34.073) (23.24)
κατά down, against with gen.; according to, throughout with acc. 8 429 (26.04) (76.461) (54.75)
παράλληλος beside one another, side by side 8 278 (16.87) (0.367) (0.12)
δή [interactional particle: S&H on same page] 7 701 (42.54) (17.728) (33.0)
διά through c. gen.; because of c. acc. 7 438 (26.58) (56.77) (30.67)
ἐγγράφω to mark in 7 86 (5.22) (0.277) (0.1)
εἷς one 7 321 (19.48) (23.591) (10.36)
περί around, round about with gen., dat., and acc. 7 151 (9.16) (44.62) (43.23)
γε at least, at any rate 6 950 (57.66) (24.174) (31.72)
ἐκ from out of 6 536 (32.53) (54.157) (51.9)
εὐθεῖα (γραμμή) straight line 6 437 (26.52) (1.18) (0.07)
ἡμικύκλιος semicircular 6 58 (3.52) (0.231) (0.01)
λοιπός remaining, the rest 6 468 (28.4) (6.377) (5.2)
ὅς2 [possessive pronoun] 6 472 (28.65) (47.672) (39.01)
ὑπό from under, by, c. gen. under, c. dat., towards c. acc. 6 2,465 (149.6) (26.85) (24.12)
ἄγω to lead 5 219 (13.29) (5.181) (10.6)
ἐάν if 5 550 (33.38) (23.689) (20.31)
λόγος the word 5 597 (36.23) (29.19) (16.1)
ὅμοιος like, resembling 5 471 (28.59) (10.645) (5.05)
ψαύω to touch 5 9 (0.55) (0.234) (0.27)
ὡς as, how 5 1,335 (81.02) (68.814) (63.16)
τριπλασίων three-fold 5 71 (4.31) (0.041) (0.0)
βάσις a stepping, step 4 732 (44.43) (0.694) (0.15)
διάμετρον a measured allowance, rations 4 43 (2.61) (0.16) (0.03)
διπλάσιος twofold, double, twice as much as, twice as many as, as long as 4 121 (7.34) (0.715) (0.37)
διπλασίων duplicate 4 105 (6.37) (0.438) (0.07)
ἔχω to have 4 667 (40.48) (48.945) (46.31)
κάθετος let down,vertical, perpendicular, plumb line 4 83 (5.04) (0.173) (0.01)
λέγω to pick; to say 4 612 (37.14) (90.021) (57.06)
μή not 4 254 (15.42) (50.606) (37.36)
ὅλος whole, entire, complete in all its parts 4 421 (25.55) (13.567) (4.4)
πλευρά a rib 4 393 (23.85) (1.164) (0.69)
ποιέω to make, to do 4 583 (35.38) (29.319) (37.03)
τεταρτημόριον a fourth part, quadrans 4 4 (0.24) (0.061) (0.01)
τίη why? wherefore? 4 124 (7.53) (26.493) (13.95)
ὥστε so that 4 290 (17.6) (10.717) (9.47)
ἀλλήλων of one another, to one another, one another 3 483 (29.31) (7.784) (7.56)
γάρ for 3 964 (58.51) (110.606) (74.4)
δεῖ it is necessary 3 553 (33.56) (13.387) (11.02)
δείκνυμι to show 3 737 (44.73) (13.835) (3.57)
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)
ἕκαστος every, every one, each, each one 3 103 (6.25) (12.667) (11.08)
εὐθύς straight, direct 3 676 (41.03) (5.672) (5.93)
ἠπειρωτικός continental 3 21 (1.27) (0.162) (0.05)
ἤπερ than at all, than even 3 89 (5.4) (0.355) (0.06)
κορυφή the head, top, highest point; 3 92 (5.58) (0.483) (0.72)
ὁμόλογος agreeing, of one mind 3 70 (4.25) (0.074) (0.06)
ὅτι adv. + superl., as...as possible; ὅτι μή except 3 801 (48.61) (49.106) (23.97)
οὕτως so, in this manner 3 1,041 (63.18) (28.875) (14.91)
πᾶς all, the whole 3 134 (8.13) (59.665) (51.63)
τις any one, any thing, some one, some thing; 3 360 (21.85) (97.86) (78.95)
τρίγωνος three-cornered, triangular 3 804 (48.8) (1.412) (0.05)
ὅτι2 conj.: that, because 3 801 (48.61) (49.49) (23.92)
ἀλλά otherwise, but 2 400 (24.28) (54.595) (46.87)
ἅπας quite all, the whole 2 43 (2.61) (10.904) (7.0)
διάγω to carry over 2 56 (3.4) (0.532) (0.39)
ἐκβάλλω to throw 2 68 (4.13) (0.986) (1.32)
ἕπομαι follow 2 73 (4.43) (4.068) (4.18)
ἡγέομαι to lead; to consider, believe 2 76 (4.61) (3.657) (4.98)
ἵημι to set a going, put in motion 2 49 (2.97) (12.618) (6.1)
κοινός common, shared in common 2 210 (12.75) (6.539) (4.41)
νοέω to perceive by the eyes, observe, notice 2 10 (0.61) (3.216) (1.77)
ὁμοταγής ranged in the same row 2 4 (0.24) (0.01) (0.0)
ὅσπερ the very man who, the very thing which 2 621 (37.69) (5.806) (1.8)
οὐ not 2 372 (22.58) (104.879) (82.22)
πίπτω to fall, fall down 2 37 (2.25) (1.713) (3.51)
πλευρόν a rib 2 139 (8.44) (0.336) (0.1)
πολύγωνος polygonal 2 94 (5.7) (0.066) (0.0)
συμβάλλω to throw together, dash together 2 17 (1.03) (0.862) (1.93)
συνίστημι to set together, combine, associate, unite, band together 2 120 (7.28) (2.685) (1.99)
σφαιρόω to make spherical 2 2 (0.12) (0.072) (0.01)
σχῆμα form, figure, appearance 2 66 (4.01) (4.435) (0.59)
τομή stump, section 2 40 (2.43) (0.465) (0.08)
τουτέστι that is to say 2 122 (7.4) (4.259) (0.0)
ἡμικύκλιον semicircle 2 21 (1.27) (0.127) (0.01)
ἀναγράφω to engrave and set up 1 79 (4.79) (0.637) (0.13)
ἀνίστημι to make to stand up, raise up 1 49 (2.97) (1.583) (2.13)
ἀπολαμβάνω to take away, receive one’s due, cut off 1 20 (1.21) (0.609) (0.61)
ἅπτω to fasten, bind fast; mid. touch 1 49 (2.97) (1.959) (1.39)
ἀρτιόπλευρος having an even number of sides 1 4 (0.24) (0.002) (0.0)
αὐτοῦ at the very place, just here, just there 1 71 (4.31) (26.948) (12.74)
ἀφαιρέω to take from, take away from 1 134 (8.13) (2.254) (1.6)
γίγνομαι become, be born 1 116 (7.04) (53.204) (45.52)
γράφω to scratch, draw, write 1 58 (3.52) (7.064) (2.6)
δηλαδή quite clearly, manifestly 1 8 (0.49) (0.264) (0.04)
διαιρέω to take one from another, to cleave in twain, to divide into parts 1 138 (8.38) (3.133) (1.05)
διάστημα an interval 1 30 (1.82) (1.324) (0.56)
διπλόος twofold, double 1 86 (5.22) (0.673) (0.55)
ἐπινοέω to think on 1 1 (0.06) (0.554) (0.45)
ἔτι yet, as yet, still, besides 1 87 (5.28) (11.058) (14.57)
ἐφάπτω to bind on, mid. touch 1 92 (5.58) (0.347) (0.3)
ἥκω to have come, be present, be here 1 20 (1.21) (2.341) (4.29)
θέσις a setting, placing, arranging 1 1 (0.06) (1.601) (0.25)
ἰσόπλευρος with equal sides 1 110 (6.68) (0.142) (0.01)
καθά according as, just as 1 22 (1.34) (5.439) (4.28)
κατασκευάζω to equip 1 32 (1.94) (1.81) (0.77)
λαμβάνω to take, seize, receive 1 168 (10.2) (15.895) (13.47)
μένω to stay at home, stay where one is, not stir 1 12 (0.73) (4.515) (5.86)
μεταξύ betwixt, between 1 42 (2.55) (2.792) (1.7)
οἷος (such a kind) as; for οἷός τε see οἷος III.2 1 5 (0.3) (16.105) (11.17)
ὅσος as much/many as 1 65 (3.94) (13.469) (13.23)
ὅστις indef. relative or indirect interrogative 1 10 (0.61) (5.663) (6.23)
οὗ where 1 46 (2.79) (6.728) (4.01)
οὖν so, then, therefore 1 238 (14.44) (34.84) (23.41)
παραλληλόγραμμος bounded by parallel lines 1 323 (19.6) (0.204) (0.0)
περιέχω to encompass, embrace, surround 1 355 (21.55) (2.596) (0.61)
περιφέρεια the line round a circular body, a periphery, circumference 1 191 (11.59) (0.881) (0.0)
περιφέρω to carry round 1 10 (0.61) (0.248) (0.24)
πολύς much, many 1 40 (2.43) (35.28) (44.3)
πόρισμα deduction from a previous demonstration, corollary 1 31 (1.88) (0.045) (0.0)
στερεόω to make firm 1 78 (4.73) (0.215) (0.0)
σύγκειμαι to lie together 1 160 (9.71) (1.059) (0.31)
συμπληρόω to help to fill 1 29 (1.76) (0.181) (0.05)
τέμνω to cut, hew 1 349 (21.18) (1.328) (1.33)
τεταρτημόριος holding a τετάρτη (τέταρτος ΙΙΙ.2a) 1 1 (0.06) (0.021) (0.0)
τετράγωνος with four equal angles, rectangular 1 914 (55.47) (0.946) (0.15)
τοσοῦτος so large, so tall 1 56 (3.4) (5.396) (4.83)
τρεῖς three 1 173 (10.5) (4.87) (3.7)
τυγχάνω (with gen.) to hit the mark, to get; (with pple) to happen to, to actually 1 97 (5.89) (6.305) (6.41)
φανερός open to sight, visible, manifest, evident 1 61 (3.7) (2.734) (1.67)
πολύγωνον polygon 1 11 (0.67) (0.016) (0.0)

PAGINATE