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δύνα^μαι [υ^], 2sg.
A.δύνασαιIl.1.393, Od.4.374, S.Aj.1164 (anap.), Ar.Nu.811 (lyr.), Pl.574, X.An.7.7.8, etc.; “δύνῃCarm.Aur.19, also in codd. of S.Ph.798, E.Hec.253, Andr.239, and later Prose, Plb. 7.11.5, Ael.VH13.32; Aeol. and Dor. “δύνᾳAlc.Oxy.1788 Fr.15 ii 16, Theoc.10.2, also S.Ph.849 (lyr.), dub. in OT696 (lyr.); δύνῃ is subj., Ar.Eq.491, cf. Phryn.337; Ion. 3pl. “δυνέαταιHdt.2.142; subj. δύνωμαι, Ion. 2sg. “δύνηαιIl.6.229 (δυνεώμεθα -ωνται as vv.ll. in Hdt.4.97, 7.163); also “δύνα_μαιSapph.Supp.3.3, GDI4952A 42 (Crete): impf. 2sg. “ἐδύνωh.Merc.405, X.An.1.6.7; later “ἐδύνασοHp.Ep.16 (v.l. ἠδ.), Luc.DMort.9.1; Ion. 3pl. “ἐδυνέατοHdt.4.110, al. (ἠδ- codd.): fut. “δυνήσομαιOd.16.238, etc.; Dor. “δυνα_σοῦμαιArchyt.3; later “δυνηθήσομαιD.C.52.37: aor. “ἐδυνησάμηνIl.14.33, Ep. “δυν-5.621; subj. “δυνήσωνταιSemon.1.17, never in good Att., f. l. in D.19.323: Pass. forms, Ep., Ion., Lyr., ἐδυνάσθην or “δυνάσθηνIl.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 Att. Prose “ἐδυνήθηνS.Aj. 1067, OT1212 (lyr.), E.Ion867 (anap.), D.21.80,186: pf. “δεδύνημαιD.4.30, Din.2.14, Phld.Rh.1.261S.—The double augment ἠδυνάμην is Att. acc. to Moer.175, but 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 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. [υ^, exc. in “δυ_ναμένοιοOd.1.276, 11.414, Hom. Epigr.15.1, and pr. n. Δυ_ναμένη, metri gr.]
I. to be able, strong enough to do, c. inf. pres. et aor., Il.19.163, 1.562, etc.: 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., “ὅσσον δύναμαι χερσίν τε ποσίν τε20.360; [“Ζεὺς] δύναται ἅπανταOd.4.237; μέγα δυνάμενος very powerful, mighty, 1.276, cf. 11.414; “δ. μέγιστον ξείνωνHdt.9.9, etc.; μέγα δύναται, multum valet, A.Eu.950 (lyr.); “δ. Διὸς ἄγχισταId.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 πρώτοιςTh.4.105; δ. τοῖς χρήμασι, τῷ σώματι, Lys.6.48, 24.4; δυνάμενος one that can maintain himself, Id.24.12; of things, [διαφέρει] οἷς δύνανται differ in their potentialities, Plot.6.3.17.
b. enjoy a legal right, “δ. τῆς γεωργίας ἀπηλλάχθαιPOxy.899.31 (ii/iii A.D.), etc.
II. to be equivalent to, λόγοι ἔργα δυνάμενοι words that are as good as deeds, Th.6.40: hence,
1. of money, to be worth, c. acc., “ σίγλος δύναται ἑπτὰ ὀβολούςX.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 ἔτεαHdt.2.142; δυνήσεται τὴν ὑποτείνουσαν will be equivalent to the hypotenuse, Arist.IA 709a19.
b. avail to produce, οὐδένα καιρὸν δύναται brings no advantage, E.Med.128 (anap.), cf. Pl.Phlb.23d.
4. Math., δύνασθαί τι to be equivalent when squared to a number or area, τοῖς ἐπιπέδοις δύνανται in the areas of which they [the lines] are the roots, Pl.Tht.148b; 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 δυναμένηνPlu.2.720a, cf. Iamb.Comm.Math.17; δυναμένη, Pythag. name for the hypotenuse of a right-angled triangle, Metaph.75.31.
b. of numbers multiplied together, come to, Papp.1.24,27.
III. impers., οὐ δύναται, c. aor. inf., it cannot be, is not to be, “τοῖσι Σπαρτιήτῃσι καλλιερῆσαι οὐκ ἐδύνατοHdt. 7.134, cf.9.45; δύναται it is possible, Plu.2.440e (s. v.l.).
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