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προθῡμ-έομαι, impf. προὐθυμούμην Th.4.12, Pl.R.402b; in Hdt. προεθ- (with v.l. προθ-), 5.78,9.38, also in X.Ages..2.1, Pl.Cra. 395d: fut. προθυμήσομαι X.Cyr.2.3.3, Pl.Men.74b, Plt.262a; προθυμηθήσομαι v.l. in Lys.25.17 and Pl.Phd.115c: aor. προὐθυμήθην Antipho 1.6, Th.5.17, X.An.4.1.22, Pl.Phd.69d: pf. προτεθύμημαι Bull.Soc.Alex. 7.67:—
to be ready, willing, eager to do a thing, c. inf., Hdt.1.36,206, al., S.Tr.1119, Ar.V.1173, Lys.3.9, etc.; ὃς ἂν προθυμεῖσθαι ἐθέλῃ δίκαιος γενέσθαι will show zeal in becoming .., Pl.R.613a, cf.Phd.75b, La.186a, etc.; also π. ὅκως .. Hdt.1.91, cf. Pl. Phd.91a; π.ὅθως ἂν εὐδαιμονοίης Id.Ly.207e; ὡς ὑστερήσειε .., προεθυμεῖτο X.Ages.2.1.

2. abs. (though an inf. may commonly be supplied), show zeal, exert oneself, A.Pr.383, 630, Hdt.8.86, 9.38, Th. 4.81, X.An.6.4.22, etc.; to be of good cheer, in good spirits, opp. ἀθυμέω, Id.Cyr.6.2.13.

3. c. acc. objecti, to be eager or zealous for, desire ardently, τὴν ξύμβασιν, τὴν ὁμολογίαν, Th.5.17, 8.90: mostly with neut. Adj., π. τοῦτο, ὅπως .. Antipho l.c.; μηδὲν ἄλλο ἢ τοῦτο Pl.Phd.64a, cf. R.472e, al., v. l. in 460d; π. περί τι Arist.HA581a22.