πεζεύω

A. go or travel on foot, walk, ἐπὶ γαίας πόδα πεζεύων (where πόδα is pleon.) E. Alc. 869 (anap.) ; οὔτε ἄπουν οὔτε πεζεῦον Arist. PA 669b7 ; π. περὶ τὴν τροφήν, of certain birds, Id. HA 593a25, cf. GA 751b13.
2. go or travel by land, opp. going by sea, X. An. 5.5.[4], Plb. 16.29.11 ; π. μετὰ τῶν ἵππων Id. 10.48.6 ; οἱ πεζεύοντες land-forces, Arist. Pol. 1327b10 ; π.διὰ τῆς θαλάσσης, of Xerxes passing by his bridge over the Hellespont, Isoc. 4.89 ; π. τὴν θάλασσαν pass it like dry land, Philostr. Im. 1.8 ; simply, march, pass through, ἀνοδίας Ph. 2.257 :— Pass., ὁ Ἄθως πλείσθω καὶ ὁ Ἑλλήσποντος πεζευέσθω Luc. Rh.Pr. 18 ; ἡ ἐκ Βρεντεσίου πεζευομένη ὁδός by land, Str. 6.3.5 ; πεζεύεται impers., ταῖς ἁρμαμάξαις Id. 4.1.14.
Liddell, Scott & Jones
A Greek-English Lexicon, 1940
An open-access project