A.cut one's way forward, only metaph., π. διὰ τῆς λεωφόρου advance by the high-road, Anon. ap. Suid.: c. acc. cogn., “τὴν ὁδὸν προκεκοφέναι” J.AJ2.6.7: without ὁδόν, ἐπὶ πολὺ προκεκοφότες ib. 2.16.3; “π. τριάκοντα σταδίους” Chio Ep.4.2:—Pass. in Hdt., advance, prosper, “ἀνωτέρω ὀδὲν τῶν πρηγμάτων προκοπτομένων” 1.190; “ἐς τὸ πρόσω οὐδὲν προεκόπτετο τῶν πρηγμάτων” 3.56.
II. with neut. Adjs., προκόψομεν οὐδέν shall make no progress, advance not at all. Alc.35; τὰ πολλὰ προκόψασ᾽ having prepared most of the way, E. Hipp.23; τί ἂν προκόπτοις; what good would you get? Id.Alc.1079; οὐδὲν προὔκοπτον εἰς . . they made no progress towards . . , X.HG7.1.6; “π. οὐδὲν ἐς πρόσθεν” E.Hec.961; “ἐν παιδείᾳ προκεκοφότες” D.S.17.69; “π. ἐν Ἰουδαϊσμῷ” Ep.Gal.1.14; “ἐν τοῖς μαθήμασι” Luc.Herm.63: c. dat. modi, “τοῖς πλούτοις -κεκοφότες” D.S.34/5.2.26; “σοφίᾳ καὶ ἡλικίᾳ” Ev.Luc.2.52.
2. c. gen. rei, τοῦ ναυτικοῦ μέγα μέρος προκόψαντες having made improvements in their navy to a great extent, Th.7.56; ἡμῶν προκοπτόντων τῆς ἀρχῆς ἐκείνοις since we promote the increase of their empire, Id.4.60; ἐπὶ πλεῖον π. ἀσεβείας having advanced further in impiety, 2 Ep.Ti.2.16: abs., “ἐπὶ τοσοῦτο π.” Plb.31.23.2; “ἐπὶ πλεῖον π.” D.S.14.98.
3. esp. in Philos., of moreal and intellectual progress, Zeno Stoic.1.56, Chrysipp.ib.2.337, Plu.2.543e, Arr.Epict.1.4.1,3.2.5, etc.; “κατὰ φιλοσοφίαν π.” Phld.Mort.17; “ὁ λόγος π.” S.E.P.2.240; προκοπτούσης τῆς θεραπείας if the treatment succeeds, Asclep. ap. Gal. 12.413, cf. Herod.Med. in Rh.Mus.58.103; εἴωθε προκόπτειν ἡ . . ἀγωγή the treatment is usually successful, Heliod. ap. Orib.46.9.1; -κεκοφυίας τῆς νόσου as the disease improves, Herod.Med. ap. Aët.9.13.
