step by step, in marching step, at quick march
step by step, β. ἀπιόντος Il. 13.516; ἄραχνος ὡς β. A. Supp. 887; in marching step, ἦγε β. Hdt. 9.57; ἡγοῦ β. Ar. Lys. 254; β. ταχὺ ἐφέπεσθαι at quick march, opp. δρόμῳ θεῖν, X. An. 4.6.25; θᾶττον ἢ β. Id. HG 5.4.53, Men. 837, Aristaenet. 2.14; β. ὑποχωρεῖν Arist. HA 629b14.
2 gradually, more and more
gradually, more and more, πεινῆν Ar. Ach. 535.
II on foot
on foot, opp. ἐφʼ ἵππων, ἐπὶ ναῶν, A. Pers. 19 (anap.); opp. ἐπʼ ἀπήνης, App. Gall. 1.