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1 τρίγωνος
A three-cornered, triangular, τὴν τ. ἐς χθόνα Νειλῶτιν, of the Delta, A.Pr. 813;τ. ῥυθμοί Id.Fr.78
; ; of the hearts of certain fish, Arist.Frr. 314, 330, 333; of Sicily, Plb.1.42.3; of Britain, Str.4.5.1.2 ἀριθμοὶ τρίγωνοι, triangular numbers, are those whose units can be disposed in a triangle, as 3 <*>, 6 <*>, etc., being represented by the formula n(n + 1)/2, Plu.2.1003f, cf. Nicom.Ar.2.8; these numbers are also called triangles ([etym.] τρίγωνοι), Plu. 2.744b.3 Astrol., in triangular or trine aspect, of planets when there are three signs of the zodiac between them, so that they are at the apices of an equilateral triangle, S.E.M.5.39, Plot.2.3.4;τ. σχηματισμοί Ptol.Tetr.35
, cf. Man.3.344.II as Subst., τρίγωνον, τό, triangle, Ti.Locr.98a, Pl.Ti. 50b, etc.2 a musical instrument of triangular form, with strings of equal thickness but unequal lengths, Eup.77, Pl.Com.69.13, Pl.R. 399c, Arist.Pol. 1341a41, Diog.Ath.1.9; called τ. ψαλτήρια in Arist.Pr. 919b12:—also as masc.,πολὺς δὲ Φρὺξ τρίγωνος S.Fr. 412
, cf. Ath.4.183e.3 one of the Athenian lawcourts, Din.Fr.89.35, Lycurg.Fr.10, Men.1076, Paus.1.28.8, Poll.8.121.4 the constellation Triangulum, Eudox. ap. Hipparch.1.2.13.5 τρίγωνος, ἡ, name of a lozenge, Orib.Syn.3.183; as masc., Paul.Aeg.7.12.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > τρίγωνος
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2 αὐτοτρίγωνον
Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > αὐτοτρίγωνον
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3 ἡμιτρίγωνος
A forming half a triangle, τρίγωνον, of the triangles made by drawing a perpendicular from an angle of an equilateral triangle, Speus. ap. Theol.Ar.63: neut. as Subst., Ti.Locr.98a, Simp.in Cael.561.13.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἡμιτρίγωνος
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4 αυτοτριγώνου
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5 αὐτοτριγώνου
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6 αυτοτρίγωνον
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7 αὐτοτρίγωνον
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8 τριγωνιστί
τριγωνιστίtriangle-wise: indeclform (adverb) -
9 τριγωνοκρατορούντας
τριγωνοκρατορέωrule a zodiacal triangle: pres part act masc acc pl (attic epic doric) -
10 τριγωνοκρατοροῦντας
τριγωνοκρατορέωrule a zodiacal triangle: pres part act masc acc pl (attic epic doric) -
11 τριγωνοκρατόρων
τριγωνοκράτωρruler of a zodiacal triangle: masc gen pl -
12 τριγωνοκράτορας
τριγωνοκράτωρruler of a zodiacal triangle: masc acc pl -
13 τριγωνοκράτορες
τριγωνοκράτωρruler of a zodiacal triangle: masc nom /voc pl -
14 τριγωνοκράτωρ
τριγωνοκράτωρruler of a zodiacal triangle: masc nom sg -
15 τρίκεντρον
τρίκεντρονspherical triangle: neut nom /voc /acc sg -
16 δελτωτός
Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > δελτωτός
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17 δύναμαι
Aδύνασαι Il.1.393
, Od.4.374, S.Aj. 1164 (anap.), Ar.Nu. 811 (lyr.), Pl. 574, X.An.7.7.8, etc.;δύνῃ Carm.Aur.19
, also in codd. of S.Ph. 798, E.Hec. 253, Andr. 239, and later Prose, Plb. 7.11.5, Ael.VH13.32; [dialect] Aeol. and [dialect] Dor.δύνᾳ Alc.Oxy.1788
Fr.15 ii 16, Theoc.10.2, also S.Ph. 849 (lyr.), dub. in OT 696 (lyr.); δύνῃ is subj., Ar.Eq. 491, cf. Phryn.337; [dialect] Ion. [ per.] 3pl.δυνέαται Hdt.2.142
; subj. δύνωμαι, [dialect] Ion. [ per.] 2sg.δύνηαι Il.6.229
( δυνεώμεθα -ωνται as vv.ll. in Hdt.4.97, 7.163); alsoδύνᾱμαι Sapph.Supp.3.3
, GDI 4952A 42 ([place name] Crete): [tense] impf. [ per.] 2sg. , X.An.1.6.7; laterἐδύνασο Hp.Ep.16
(v.l. ἠδ.), Luc.DMort.9.1; [dialect] Ion. [ per.] 3pl.ἐδυνέατο Hdt.4.110
, al. ( ἠδ- codd.): [tense] fut.δυνήσομαι Od.16.238
, etc.; [dialect] Dor.δυνᾱσοῦμαι Archyt.3
; laterδυνηθήσομαι D.C.52.37
: [tense] aor.ἐδυνησάμην Il.14.33
, [dialect] Ep.δυν- 5.621
; subj.δυνήσωνται Semon.1.17
, never in good [dialect] Att., f. l. in D.19.323: [voice] Pass. forms, [dialect] Ep., [dialect] Ion., Lyr., ἐδυνάσθην orδυνάσθην Il.23.465
, al., Hdt.2.19, al., Pi.O.1.56, Hp.Art.48 (v.l. δυνηθείη), also in X.Mem.1.2.24, An.7.6.20; Trag. and [dialect] Att. Prose , OT 1212 (lyr.), E. Ion 867 (anap.), D.21.80,186: [tense] pf.δεδύνημαι D.4.30
, Din.2.14, Phld.Rh.1.261S.—The double augment ἠδυνάμην is [dialect] Att. acc. to Moer.175, but [dialect] Ion. acc. to An.Ox.2.374, and is found in codd. of Hdt.4.110, al., Hp.Epid.1.26.β', al.; ἠδύνω is required by metre in Philippid.16; but is not found in [dialect] Att. Inscrr. before 300 B.C., IG22.678.12, al., cf. ἠδύνασθε ib.7.2711 (Acraeph., i A.D.); both forms occur in later writers: ἠδυνήθην occurs in A.Pr. 208, and codd. of Th.4.33, Lys.3.42, etc.: δύνομαι is a late form freq. in Pap. as UPZ9 (ii B. C.), al. [[pron. full] ῠ, exc. inδῡναμένοιο Od.1.276
, 11.414, Hom. Epigr.15.1, and pr. n. Δῡναμένη, metri gr.]I to be able, strong enough to do, c. inf. [tense] pres. et [tense] aor., Il.19.163, 1.562, etc.: [tense] fut. inf. is f.l. ( πείσειν for πείθειν ) in S.Ph. 1394, ( κωλύσειν for κωλῦσαι) Plb.21.11.13, etc.: freq. abs., with inf. supplied from the context, εἰ δύνασαί γε if at least thou canst (sc. περισχέσθαι), Il. 1.393: also c. acc. Pron. or Adj., ; [Ζεὺς] δύναται ἅπαντα Od.4.237
; μέγα δυνάμενος very powerful, mighty, 1.276, cf. 11.414;δ. μέγιστον ξείνων Hdt.9.9
, etc.; μέγα δύναται, multum valet, A.Eu. 950 (lyr.);δ. Διὸς ἄγχιστα Id.Supp. 1035
; οἱ δυνάμενοι men of power, rank, and influence, E.Or. 889, Th.6.39, etc.; οἱ δυνάμενοι, opp. οἱ μὴ ἔχοντες, Democr.255; opp. οἱ πένητες, Archyt. 3; δυνάμενος παρά τινι having influence with him, Hdt.7.5, And. 4.26, etc.;δύνασθαι ἐν τοῖς πρώτοις Th.4.105
; δ. τοῖς χρήμασι, τῷ σώματι, Lys.6.48, 24.4; ὁ δυνάμενος one that can maintain himself, Id.24.12; of things, [διαφέρει] οἷς δύνανται differ in their potentialities, Plot.6.3.17.2 of moral possibility, to be able, dare, bear to do a thing, mostly with neg.,οὔτε τελευτὴν ποιῆσαι δύναται Od.1.250
;σε.. οὐ δύναμαι προλιπεῖν 13.331
, cf. S.Ant. 455; ;οὐδὲ σθένειν τοσοῦτον ᾠόμην τὰ σὰ κηρύγμαθ' ὥστε.. θεῶν νόμιμα δύνασθαι.. ὑπερδραμεῖν S.Ant. 455
.3 with ὡς and [comp] Sup., ὡς ἐδύναντο ἀδηλότατα as secretly as they could, Th.7.50; ὡς δύναμαι μάλιστα κατατείνας as forcibly as I possibly can, Pl.R. 367b;ὡς δύναιτο κάλλιστον Id.Smp. 214c
;ὡς ἂν δύνωμαι διὰ βραχυτάτων D.27.3
, etc.; simply ὡς ἐδύνατο in the best way he could, X.An.2.6.2: with relat.,ὅσους ἐδύνατο πλείστους ἀθροίσας Id.HG2.2.9
;λαβεῖν.. οὓς ἂν σοφωτάτους δύνωμαι Alex. 213
.1 of money, to be worth, c. acc.,ὁ σίγλος δύναται ἑπτὰ ὀβολούς X.An.1.5.6
, cf. D.34.23: abs., pass, be current, Luc.Luct.10.2 of Number, etc., to be equal or equivalent to,τριηκόσιαι γενεαὶ δυνέαται μύρια ἔτεα Hdt.2.142
; δυνήσεται τὴν ὑποτείνουσαν will be equivalent to the hypotenuse, Arist.IA 709a19.3 of words, signify, mean, Hdt.4.110, al.; .γ; δύναται ἴσον τῷ δρᾶν τὸ νοεῖν Ar. Fr. 691
; : in later Greek, δύναται τὸ μνασθέντι ἀντὶ τοῦ μνασθέντος" is equivalent to.., Sch.Pi.O.7.110.b avail to produce, οὐδένα καιρὸν δύναται brings no advantage, E.Med. 128 (anap.), cf. Pl.Phlb. 23d.c of things, mean, 'spell', τὸ τριβώνιον τί δύναται; Ar.Pl. 842; αἱ ἀγγελίαι τοῦτο δύνανται they mean this much, Th.6.36;τὴν αὐτὴν δ. δούλωσιν Id.1.141
, cf. Arist.Pol. 1313b25.4 Math., δύνασθαί τι to be equivalent when squared to a number or area, τοῖς ἐπιπέδοις ἃ δύνανται in the areas of which they [the lines] are the roots, Pl.Tht. 148b; ἡ ΒΓ τῆς Α μεῖζον δύναται τῇ ΔΖ the square on ΒΓ is greater than the square on A by the square on ΔΖ, Euc.10.17; αἱ δυνάμεναι αὐτά [τὰ μεγέθη] the lines representing their square roots, ib.Def.4, cf. Prop. 22; αὐξήσεις δυνάμεναί τε καὶ δυναστευόμεναι increments both in the roots and powers of numbers, Pl.R. 546b;τὴν ὑποτείνουσαν ταῖς περὶ τὴν ὀρθὴν ἴσον δυναμένην Plu.2.720a
, cf. Iamb.Comm.Math.17; ἡ δυναμένη, Pythag. name for the hypotenuse of a right-angled triangle, Alex.Aphr.in Metaph.75.31.b of numbers multiplied together, come to, Papp.1.24,27.III impers., οὐ δύναται, c. [tense] aor. inf., it cannot be, is not to be,τοῖσι Σπαρτιήτῃσι καλλιερῆσαι οὐκ ἐδύνατο Hdt. 7.134
, cf.9.45; δύναται it is possible, Plu.2.440e (s. v.l.).Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > δύναμαι
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18 κορυφαγενής
κορῠφ-ᾱγενής, ές,A head-born, prop. epith. of Athena: in Pythag. philosophy, of an equilat. triangle, like Τριτογένεια 11, Plu.2.381f.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > κορυφαγενής
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19 κορυφή
A head, top: hence,1 crown, top of the head, of a horse, Il.8.83, X.Eq.1.11; of a man or god, h.Ap. 309, Pi.O.7.36, Hdt.4.187, Sammelb.6003.8 (iv A. D.): between βρέγμα and ἰνίον, Arist.HA 491a34;τὸ ὀστέον τῆς κ. Hp.VC2
.2 top, peak of a mountain (so mostly Hom.),οὔρεος ἐν κορυφῇς Il.2.456
;ὄρεος κορυφῇσι 3.10
, cf. Alcm.60.1;κορυφαὶ γαίας B.5.24
;κ. Οὐλύμποιο Il.1.499
, cf. Ar.Nu. 270;Αἴτνας μελάμφυλλοι κορυφαί Pi.P.1.27
;τηλαυγέ' ἀγ κορυφάν Id.Pae.7.12
;κ. πόληος Alc.Supp.17.6
;ἀστρογείτονας κ. A.Pr. 722
, cf. Hdt.4.49, 181, 9.99.3 generally, summit, top, κατὰ κορυφὴν ἐσβαλεῖν ἐς τὴν κάτω Μακεδονίαν straight over the summit, ridge, Th.2.99, cf. IG42(1).71.11 (Epid., iv B. C.), OGI383.125 (Nemrud Dagh, i B. C.); κατὰ κ. [τῆς στήλης] ἔσφαττον (sc. ταύρους) Pl.Criti. 119e; ἵσταται κατὰ κ. ὁ ἥλιος in the zenith, Plu.2.938a; τὸ κατὰ κ., with or without σημεῖον, the zenith, Gem.5.64, etc., cf. Plu.Mar.11, Procl.Hyp.4.59; ταῖς τῶν κατὰ κ. λίθων ἐμβολαῖς by the stones falling vertically, Plb.8.7.3.4 apex, vertex of a triangle, Id.2.14.8; of the Delta, Pl.Ti. 21e; point of an angle,τὸ ἐπὶ τὴν κ. μέρος Plb.1.26.16
, etc.; apex of a cone, Arist.Mete. 362b3; κατὰ κορυφήν vertically opposite, of angles, Euc.1.15; of halves of double cone, Apollon. Perg.1 Def.5 extremity, tip, κορυφαὶ [κλημάτων], τῶν συγκυπτῶν, Thphr.CP3.14.8, Ath.Mech.22.8; in Anatomy, the os coccygis, Poll. 2.183: in pl., finger-tips, Ruf.Onom.85, cf. Poll.2.146: Medic., of an abscess, ἐς κορυφὴν ἀνισταμένης ἀποστάσιος coming to a head, Aret. SA1.7.II metaph., λόγων κορυφαί the sum of all his words, Pi.O.7.69, cf. Pae.8.23;ἔρχομαι ἐπὶ τὴν κ. ὧν εἴρηκα Pl.Cra. 415a
; but λόγων κ. ὀρθάν true sense of legends, Pi.P.3.80; κορυφὰς ἑτέρας ἑτέρῃσι προσάπτων μύθων springing from peak to peak, i.e. treating a subject disconnectedly, Emp.24; κ. ὁ λόγος ἐπιθεὶς ἑαυτῷ having reached its conclusion, put the finishing touch to itself, Plu.2.975a; κ. τοῦ κακοῦ height, full development of.., Aret.SD1.6; τοῦ πάθεος κ. ἴσχοντος ib.1.16.2 height, excellence of.., i.e. the choicest, best,κορυφαὶ πολίων Pi.N.1.15
; κ. ἀρετᾶν ib.34, cf. O.1.13; κ. ἀέθλων, of the Olympic games, Id.O.2.13, cf. N.9.9;φιάλαν.. πάγχρυσον κ. κτεάνων Id.O.7.4
; ὁ καιρὸς παντὸς ἔχει κορυφάν is the best of all, Id.P.9.79.3 κορυφᾷ Διὸς εἰ κρανθῇ πρᾶγμα his head, i.e. his nod, A. Supp.92.4 ἡ τῆς οἰκουμένης κ., of Rome, Lib.Or.59.19. -
20 πλευρά
A = πλευρόν, rib, rare in sg.,βοὸς π. Hdt.4.64
;παρὰ τὴν π. ἑκάστην Arist.HA 513b29
: pl., ribs, Id.PA 654b35.2 pl., generally, side of a man or animal,ἄλλοτ' ἐπὶ πλευρὰς κατακείμενος, ἄλλοτε δ' αὖτε ὕπτιος Il.24.10
; of both sides,ἀνὰ πλευράς τε καὶ ὤμους 23.716
; , cf. Hes.Sc. 430, A.Pr.71, Eu. 843 (lyr.): sg., also, of one side, S.OC 1260, Aj. 834, etc.; a side of beef, etc., PCair.Zen.381.5 (iii B.C., written πλερά): the pl. form is v.l. in E.Hec. 826.II side, of things and places,νηὸς πλευραί Thgn.513
; ; [ Πακτωλοῦ] D.P. 833; of an army,αἱ π. τοῦ πλαισίου X.An.3.4.22
, cf. 28, Plu.Mar. 25, etc.;παρὰ π. τινὶ εἶναι Plb.5.26.6
; παρὰ π., opp. κατὰ κεφαλήν, IG22.463.72b side of a rectangle, ib. 36c: hence, one factor of any product, Id.Tht. 148a, Arist. Metaph. 1051a26, Euc.7 Def.17, etc.
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