, 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 ἐδυνήθην
S. Aj. 1067
, OT 1212 (lyr.), E. Ion 867 (anap.), D. 21.80 , 186 :pf.
δεδύνημαι
D. 4.30
, Din. 2.14 , Phld. Rh. 1.261S. —The double augmentἠδυνάμηνis 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.;ἠδύνωis required by metre in Philippid. 16 ; but is not found in Att. Inscrr. before 300 B.C., IG 22.678.12 , al., cf.ἠδύνασθεib. 7.2711 (Acraeph.,i A.D.); both forms occur in later writers:ἠδυνήθηνoccurs in A. Pr. 208 , and codd. of Th. 4.33 , Lys. 3.42 , etc.:δύνομαιis a late form freq. in Pap. as UPZ 9
(ii B. C.), al. [ῠ, exc. in δῡναμένοιο
Od. 1.276
, 11.414 , Hom. Epigr. 15.1 , and pr. n.Δῡναμένη, metri gr.]
I. to be able, strong enoughto do, c.inf. pres.etaor., Il. 19.163 , 1.562 , etc.:fut. inf.isf.l.(πείσεινforπείθειν) in S. Ph. 1394 , (κωλύσεινforκωλῦσαι) Plb. 21.11.13 , etc.: freq. abs., withinf.supplied from the context,εἰ δύνασαί γεif at least thoucanst(sc.περισχέσθαι), Il. 1.393 : also c. acc. Pron. orAdj., ὅσσον δύναμαι χερσίν τε ποσίν τε
: in later Greek,δύναται τὸ "μνασθέντι" ἀντὶ τοῦ "μνασθέντος"is equivalent to. . , Sch. Pi. O. 7.110 .
b. avail to produce,οὐδένα καιρὸν δύναται bringsno advantage, E. Med. 128 (anap.), cf. Pl. Phlb. 23d .
c. of things,mean, 'spell',τὸ τριβώνιον τί δύναται; Ar. Pl. 842 ;αἱ ἀγγελίαι τοῦτο δύνανταιtheymeanthis much, Th. 6.36 ; τὴν αὐτὴν δ. δούλωσιν
Id. 1.141
, cf. Arist. Pol. 1313b25 .
4. Math.,δύνασθαί τι to be equivalent when squared toa number or area,τοῖς ἐπιπέδοις ἃ δύνανταιin 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 greaterthanthe square onA by thesquare on Δζ, Euc. 10.17 ;αἱ δυνάμεναι αὐτά [τὰ μεγέθη] the linesrepresentingtheirsquare roots, ib. Def. 4 , cf. Prop. 22 ;αὐξήσεις δυνάμεναί τε καὶ δυναστευόμεναιincrements bothin the rootsandpowersof 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 thehypotenuseof 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.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.).