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τάχος [ᾰ], εος, τό, (ταχύς) swiftness, speed, ἵπποισι .., οἷσιν Ἀθήνη νῦν ὤρεξε τ. Il.23.406, cf. 515; τ. καὶ βραδυτής Pl.Tht.156c, Arist. Ph.228b29, etc.: pl., velocities, Pl.Ti.39d, Lg.893d.

2. τ. φρενῶν quickness of temper, hastiness, E.Ba.670; ὁ χρόνος μάθησιν ἀντὶ τοῦ τάχους ..δίδωσι Id.Supp.419; f.l. in Pl.Lg.944c; τ. τῆς ψυχῆς quickness of apprehension, ib.689c.

II. τάχος is freq. used in Adverbial phrases for ταχέως, abs. in acc., A.Th.58, Ag.945, Eu. 124, E.Rh.986, HF860 (troch.), etc.; also in dat., τάχει ὁμοίως with like velocities, Pl.Ti.36d: with Preps., διὰ τάχους S.Aj.822, Th.1.63, etc.; ἐν τάχει Pi.N.5.35, A.Pr.747, S.OC500, Th.1.86, PCair.Zen.62(b).10 (iii B.C.), etc.; εἰς τάχος X.Eq.3.5, Ar.Ach.686, etc.; κατὰ τάχος Hdt.1.124,152, Th.1.73; κατὰ τὸ τ. PCair.Zen.130.11 (iii B.C.); τὸ τ. (without κατὰ) ib. 158.2, 166.4, 428.15, PHib.1.62.13 (all iii B.C.). etc.; μετὰ τάχους Pl.Prt.332b; μετὰ παντὸς τ. with all speed, POxy.2107.4 (iii A.D.); σὺν τάχει S.Aj.853, OC 885 (lyr.), 904: also with relatives, ὡς τάχος, = ὡς τάχιστα, A.Ag. 27, Ch.889, Hdt.5.106, Ar.Lys.1187; so ὅ τι τάχος Hdt.9.7.β́, Th. 7.42, PCair.Zen.60.8 (iii B.C.); ὅσον τάχος S.El.1373, etc.; ᾗ (Dor. ᾇ) τάχος Pi.O.6.23, Theoc.14.68: also ὡς τάχεος εἶχε ἕκαστος Hdt. 8.107, cf. Th.2.90; ὡς εἶχον τάχους Id.7.2; πῶς πρὸς ἄλληλα τάχους ἔχει Pl.Grg.451c.