προκοπή

A. progress on a journey, Plu. 2.76d.

2. generally, progress, advance, τὴν οἴησιν ἔλεγε προκοπῆς ἐγκοπήν that opinionforming was the stoppage of progress, Bion ap.D.L. 4.50; π. σχεῖν, ποιεῖσθαι, λαμβάνειν, Plb. 2.37.10, 2.13.1, 8.15.6; ἡ ἐπὶ τὸ βέλτιον π. Id. 1.12.7; opp. ἡ ἐπὶ τὸ χεῖρον π. J. AJ 4.4.1; freq. of moral progress, Stoic. 3.31, al.; παλίντροπος π. progress in a contrary direction, Plb. 5.16.9; ἐν παιδείᾳ π. LXX Si. 51.17; proficiency, ἐν τοῖς λόγοις Phld. Piet. 107; ἐν φιλοσοφίᾳ D.S. 16.6, cf. Cic. Att. 15.16; π. τοῦ εὐαγγελίου Ep.Phil. 1.12; τὸ ἐπιστρέφειν προϊέναι ἐστί, π. γάρ τις, ἀλλ’ οὐχὶ ἀπὸ τοῦ αἰτίου Dam. Pr. 77; improvement in health, Herod.Med. ap. Orib. 10.8.17: pl., προκοπὰς λαμβάνειν Plb. 10.47.12, cf. Phld. Rh. 2.54 S., Ph. 1.83, al., J. BJ 2.2.5, Plu. 2.75b, Luc. Alex. 22; ἐν προκοπαῖς Epigr.Gr. 321.6, Arch.Pap. 1.220 (Egypt), cf. IG 14.1976 (Rome); ἐν μείζοσι προκοπαῖς PRyl. 233.16 (ii A.D.).

b. success, prosperity, δόζα καὶ π. παρά τισιν ὑπάρξει Aristeas 242, cf. OGI 627.2 (Bostra), Heph.Astr. 1.1.

3. military promotion, J. BJ 6.2.6.

4. process, κατὰ προκοπήν by process of time or growth, Sor. 1.43.

5. Math., progression of numbers, μέχρις ἂν εἰς τετράδα ἡ π. ἔλθῃ Theol.Ar. 21.