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περαίνω , Pi.P.10.28, Philol.1, etc.; poet. πειραίνω Arat.24 : also impf.
A.ἐπείραινεPi.I.8(7).25 : fut. “περα^νῶAr.Pl.563, Pl.Lg.672e; Ion. -ανέω, 3sg.-εῖ, Hp.Hat.Puer.15, Meliss.5: aor. “ἐπέρα_ναS.Aj.22, Pl. Tht.207c; Ion. aor. part. “πειρήναςh.Merc.48:—Med., pres., Th.7.43 : fut. περα^νοῦμαι δια-) Pl.Phlb.53c : aor. ἐπερα_νάμην δι-) E.Hel.26, Pl.Lg.900b:—Pass., fut. “περανθήσομαιGal.UP4.12 (περασθήσομαι is corrupt in Crito ap.Stob.3.3.63): aor. “ἐπεράνθηνX.HG3.2.19, Pl. Grg.501c, etc.: pf. 3sg. “πεπέρανταιId.R.502e, Arist.Cael.273a4 ; poet. “πεπείρανταιOd.12.37, S.Tr.581 ; imper. “πεπεράνθωPl.Lg.736b ; inf. -άνθαι Id.Grg.472b, Arist.Sens.445b23, -άσθαι Id.Xen.977b3 (s. v.l.) ; part. “πεπερασμένοςZeno Eleat.3, Pl.Prm.145a, Arist.APo. 82b32, al.: (πέρας):—bring to an end, finish, accomplish, Hom. only in Pass. (v. infr.); “π. ἄτανA.Ch.830 (lyr.); πρᾶγος π. rem transigere, S. Aj.22; “πρᾶγμα καὶ χρησμοὺς θεοῦE.Ion 1569 ; ἐλπίδα, δόκησιν, Id.Andr.1062, Or.636 ; π. τινὰ πρὸς ἔς χατον πλόον bring him to the end of his voyage, Pi.P.10.28 ; “π. δίκας τινίId.I.8(7).25; without δίκην, finish the business, D.38.24 ; “π. τὰ δέονταX.Cyr.4.5.38 ; τὸ προσταχθέν ib.5.3.50 ; “ἐπέραινεν ἐφ᾽ οἷς ἐμισθώθηD.18.149 ; “π. ὁδόνAr.Ra. 403 ; πολλήν (sc. θάλασσαν) Arat.289:—Pass., to be brought to an end, finished, “πάντα πεπείρανταιOd.12.37, cf. S.Tr.581 ; “περαίνεται δὴ τοὔργονA.Pr.57, etc.; to be fulfilled, accomplished, χρησμός, τὰ λόγια περαίνεται, E.Ph.1703, Ar.V.799; “ συμμαχία ἐπεραίνετοX.HG 7.4.3 ; ἔργῳ π. Id.An.3.2.32.
2. limit, Iamb.Comm.Math.3 :— elsewh. Pass., to be limited or finite, “τὸ ὅλον πεπεράνθαιArist.Ph.207a16 ; πεπέρανται [ὁ οὐρανός] Id.Cael.273a4; esp. in part. πεπερασμένος, opp. ἄπειρος, π. μέγεθος, χρόνος, Id.Ph.266b22, Cael.272a15.
4. recite from beginning to end, “ἰαμβεῖονAr.Ra.1170, cf. D.19.245 ; “τραγῳδίανAntiph.1.6, cf. 85.4; “νόμονPl.Ti.29d ; recount, relate, E.Ion362, IT781.
6. draw a conclusion, infer, διὰ τοῦ ἀδυνάτου π. by a reductio ad impossibile, Arist.APr. 41a23 ; περαίνων [λόγος], a kind of syllogism, D.L.7.44 ; περὶ τῶν π. λ., title of work by Chrysippus:—freq. in Pass., τὸ ἐν πλείοσι σχήμασι . . περαινόμενον the conclusion which is drawn, Arist.APr. 42b30, etc.; περαίνεται c. acc. et inf., it is inferred that . . , Muson.Fr.1p.2H., cf. Phld.Rh.1.137 S.
II. sens. obsc., Artem.1.80, D.L.2.127:—Pass., Com.Adesp.14, AP11.339, D.L.l.c.
III. intr., reach, penetrate, “δι᾽ ὤτωνA.Ch.57(lyr.); “εἰς τὸν ἐγκέφαλονArist.HA492a21 ; “πρὸς [τὴν καρδίαν]Id.PA666a13 ; “εἰς τὸ ἔξωId.GA716b28 : abs., penetrate, Id.HA497a10.
2. come to an end, τὸ πεπερασμένον ἀεὶ πρός τι περαίνει the finite always comes to some limit, Id.Ph.203b21, cf. Xen.977b6 ; end in . . , “εἴς τιE.Fr.340, cf. Pl.Men.76a, Plu. Arat.52, etc.; “ ὁδὸς π. ἐπὶ τὸ στρατόπεδονId.Cat.Ma.13.
IV. pierce, h.Merc.48.
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