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1 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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2 τετραγωνίζω
A make square, square, of lines or numbers, Pl.R. 527a, Arist. Metaph. 996b21; ὅσαι γραμμαὶ τὸν ἰσόπλευρον.. ἀριθμὸν τετραγωνίζουσι all lines which form an equilateral number as their square, Pl. Tht. 148a; τ. τὸν κύκλον square the circle, Arist.SE 171b16:—[voice] Pass., Id.APr. 69a31.2 Astrol., to be in quartile aspect, Ptol.Tetr. 34.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > τετραγωνίζω
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3 τομή
A end left after cutting, stump of a tree, ἐπεὶ δὴ πρῶτα τομὴν ἐν ὄρεσσι λέλοιπεν [τὸ σκῆπτρον] Il.1.235; ῥιζῶν τομαί the ends of the roots ( left by cutting away the tree), S.Fr.534.5 (anap.); ὀπὸν.. στάζοντα τομῆς ib.2; δοκοῦ τ. end of a beam, Th.2.76;ἡ τοῦ καλάμου τ. Thphr.HP4.11.7
, cf. Theoc.10.46; λίθοι ἐν τομῇ ἐγγώνιοι stones cut square, Th.1.93 (sed leg. ἐντομῇ) ; σκέψαι τομῇ προσθεῖσα βόστρυχον having fitted the lock to the place from which it was cut, A.Ch. 229 ( σκέψαιτο μὴ cod. M, distinxit Turnebus); πρὸς τὴν τ. μεταστρέφειν to the cut, Pl.Smp. 190e, cf. Arist.HA 532a4.b Ταύροιο τ. prob. = προτομή 1, Arat. 322.2 Math., section, as a circle is the section of a sphere, a conic section of the cone, Arist.Mete. 375b32, Pr. 912a13, cf. App.Anth.4.74 ([place name] Synesius); with or without κοινή, the line in which two planes cut each other, Arist.Metaph. 1060b14, Euc.11.16, Archim. Con.Sph.11, al., Apollon.Perg.Con.1.4, etc.; point of intersection of two lines, Archim.Spir.20, al., Ptol.Alm.3.3, etc.: abstract use, περὶ διωρισμένης τ. On determinate section, name of lost treatise of Apollon.Perg.; τὰ περὶ τὴν τ. the theorems about the section (sc. in extreme and mean ratio), Procl.in Euc.p.67 F.:—in conic sections, τομαὶ ἀντικείμεναι opposite sections, i.e. branches of hyperbola, Apollon.Perg.Con.2.15; συζυγεῖς τ. conjugate sections of hyperbolas, ib.17.3 incision or insection between parts of an insect's body (whence their name of ἔντομα), Arist.PA 682b25.4 ἡ εἰς ἄπειρον τ. infinite divisibility, Epicur.Ep.1p.16U.II cutting, cleaving, ἐν τομᾷ σιδάρου by stroke of iron, S.Tr. 887 (lyr.);πελέκεως τ. E.El. 160
(lyr.);φασγάνου τομαί Id.Or. 1101
; cutting off or down, ; vine-cutting, PCair.Zen. 736.29 (iii B.C.); cutting up,εἰς τ. καὶ προσαγωγὴν χάλικος PPetr.3p.290
(iii B.C.); hewing,λίθων IG12.336.7
, 11, SIG244 ii 58 (Delph., iv B.C.), IG42(1).106i19, al. (Epid., iv B.C.).2 use of the knife in surgery, Hp.VC13; ;οὔτε τ. οὔτε καῦσις Hp.Art.62
;σιδήρου τ. Sor.1.80
: pl., Pi.P.3.53, E.Fr.403.6;τὰς θεραπείας.. διὰ καύσεών τε καὶ τομῶν Pl.Prt. 354a
, cf. Ti. 65b.3 castration, Luc. Philops.2.7 αἱ τ. τῆς γῆς, i.e. canals, Lib. Or.18.232.III severance, separation,τ. καὶ διάκρισις Pl.Ti. 61d
, cf. 80e; of number, division, Id.Lg. 738a; τομὴν ἔχειν ἔν τινι to admit a distinction in.., ib. 944b; χρονικαὶ τ. distinctions of tenses, A.D.Synt.10.18; process of division (sc. μεγέθους), Nicom. Ar.1.2.3 metaph., conciseness or precision in expression, Eun.VSp.461B.4 τ. πράγματος, = decisio, Gloss.IV a cut, wound, Arist.HA 632a18, Aen.Tact.11.14: metaph., wound,πόλις δεδεγμένη τ. Plu.Cor.16
, cf. Per.11.2 caesura in verse, Aristid.Quint.1.24; more generally, break between successive words, Hermog.Id.2.10, Heph.15.2, al., Eust.740.1. -
4 ἰδιομήκης
ἰδῐο-μήκης, ες,Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ἰδιομήκης
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5 ὑπερβολή
A a throwing beyond others,δίσκων ὑπερβολαῖς Philostr.Im.2.19
: in intr. sense, altitude of a star, Arist. Mete. 342b32.3 excess,τοῦ μεγέθεος Archyt.1
; opp. ἔλλειψις or ἔνδεια, Pl.Prt. 356a, 357a, 357b;θερμασίης Hp.Vict.2.65
;ὑ. δισσὴ.., τῷ ποσῷ καὶ τῷ ποιῷ Arist.PA 668b14
; ὑπερβολὴν τῆς ἐπιθυμίας ἔχειν c. acc. et inf., And.3.33, etc.: hence in various phrases, χρημάτων ὑπερβολῇ.. πρίασθαι at an extravagant price, E.Med. 232; ἐπέφερον τὴν ὑ. τοῦ καινοῦσθαι pushed on their extravagance in revolutionizing, Th.3.82; οὐκ ἔχον ἐστὶν ὑπερβολήν it can go no further, D.21.119, cf. 25.54;ἃ μηδὲ πιθανὰς τὰς ὑ. ἔχει Men.Her.62
; so οὐδεμίαν or μηδεμίαν ὑ. λείπειν, Isoc.4.5,110, cf. D.3.25;οὐδεμίαν ὑ. καταλείπων φιλοτιμίας SIG545.13
(Delph., iii B. C.); εἴ τις ὑ. τούτου if there is aught beyond (worse than) this, D.19.66, cf. Isoc.5.42; ταῦτ' οὐχ ὑ.; is not this the extreme, the last degree? D.27.38; ὑπερβολὴν ποιήσομαι I will put an extreme case, Id.19.332; τοσαύτην ὑ. ποιεῖσθαι ὥστε .. to go so far that.., Id.18.190: folld. by a gen., ὑ. ποιεῖσθαι ἐκείνων τῆς αὑτοῦ βδελυρίας to carry his own rascality beyond theirs, Id.22.52, cf. 23.201, And.4.22, Lys.14.38; ὑ. ποιεῖν τῆς τιμῆς to raise the price, Arist.Pol. 1259a26;εἰς ὑ. εὐδαιμονίας ἥκειν Isoc.11.14
;τοσαύτας ὑ. δωρειῶν παρές χηται D.20.141
; ὑ. ἀνοίας ἔχειν Polystr.p.27 W.4 with Prep. in Adverbial phrases, = ὑπερβαλλόντως, εἰς ὑπερβολήν in excess, exceedingly;εἰς ὑ. ἄμεινον E.Fr. 494
;ἀγαθὸς εἰς ὑ. Antiph.80.11
;ἐς ὑ. ἐκθερμαίνεσθαι Hp.Vict.2.65
: c. gen.,κτήσαιτ' ἂν ὄλβον εἰς ὑ. πατρός E.Fr.282.6
(v.l. εἰς ὑπεκτροφὴν πάτρας); far beyond, τοῦ πρόσθεν εἰς ὑ. πανοῦργος, i. e. far more wicked, Id.Hipp. 939, cf. D.61.33; :—ἐξ ὑπερβολῆς Plb.8.15.8
:— καθ' ὑπερβολὰν τοξεύσας with surpassing aim, S.OT 1196 (lyr.);καθ' ὑ. ἐπαινεῖν
extravagantly,Isoc.
5.11; οἱ καθ' ὑ. ἐν ἐνδείᾳ ὄντες in extremity of need, Arist.Pol. 1295b18;αἱ καθ' ὑ. ἡδοναί Id.EN 1151a12
;τὸ καθ' ὑ. τραχύ Phld.Po.Herc. 994.35
;καθ' ὑ. ἁμαρτωλός Ep.Rom.7.13
: c. gen.,καθ' ὑ. φιλοδοξίας OGI472.9
(Didyma, i A. D.):—so in dat.,εὐτελὴς ὑπερβολῇ Men.615
;παχεῖ' ὑ. Philem.41
;ὑ. ἀγαθός Arist.HA 625a29
, etc.5 preeminence, perfection, without any notion of excess,δι' ἀρετῆς ὑπερβολήν Id.EN 1145a24
, cf. Rh. 1367b1, Pol. 1284a4; ἡ ὑ. τῆς φιλίας the best and noblest kind of friendship, Id.EN 1166b1; but ἡ καθ' ὑ. φιλία, = ἡ καθ' ὑπεροχήν, Id.EE 1238b18.6 overstrained phrase, hyperbole,ὑπερβολὰς εἰπεῖν Isoc.4.88
; οἱ πρὸς ὑπερβολὴν πεπονημένοι λόγοι ib.11; ὑπερβολὰς εἰπεῖν make strong statements, Id.3.35, D. 27.64; as a figure of speech, Arist.Rh. 1413a29, Demetr.Eloc.52, Str.3.2.9;πρὸς -ὴν εἰρημένος Id.1.2.33
.7 τὸ καθ' ὑπερβολήν the superlative degree, in Adjectives, Arist.Top. 134b24; τιθέναι ὑπερβολῇ ib. 139a9;καθ' ὑ. εἰπεῖν Id.Cael. 281a16
.II crossing over, passage of mountains, etc., X.An.1.2.25, Plb.3.34.6, etc.2 in sg. or pl., place of passage, mountain-pass, with or without τοῦ ὄρους, τῶν ὀρέων, X. An.3.5.18, 4.1.21, 4.4.18; ὑ. τοῦ Ταύρου Wilcken Chr. 1 ii 14 (iii B. C.);αἱ τῶν Ἄλπεων ὑ. Plb.3.39.10
;αἱ Ἄλπιαι ὑ. Str.7.1.5
;ἡ κατὰ τὸν Αἷμον ὑ. D.S.19.73
.III (from [voice] Med.) delay,τοῦ κακοῦ Hdt.8.112
, cf. Decr. ap. D.18.29, Plb.14.9.8;[τῆς κρίσεως] ὑ. λαβούσης PEnteux.65.3
(iii B. C.).IV the conic section called hyperbola, because the square of the ordinate is equal to a rectangle with height equal to the abscissa applied to the parameter (as base) but exceeding ([etym.] ὑπερβάλλον), i. e. overlapping, that base, Apollon. Perg.Con.1.12, Procl. in Euc.p.419F.Greek-English dictionary (Αγγλικά Ελληνικά-λεξικό) > ὑπερβολή
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