περιπᾰτ-έω · peripat-eō — LSJ
walk up and down, walk about, is for walking on, traverse
walk up and down, as in a cloister, opp. βαδίζειν (take a walk), ἐν ταῖς στοαῖς Dicaearch. ap. Plu. An seni 2.796d ; walk about, Ar. Eq. 744, V. 237 ; περιπατῶν ἀνδριάς Alex. 204 ; ἐν τῷ καταστέγῳ δρόμῳ Pl. Euthd. 273a ; π. ἄνω κάτω Ar. Lys. 709 ; π. περιπάτους X. Mem. 3.13.5, cf. Men. Pk. 156 ; περιπατεῖται ἡ ὁδός the road is for walking on, A.D. Synt. 279.19 : c. acc., traverse, ὅλην τὴν Αἴγυπτον POxy. 471.124 (ii A.D.).
2 walk about while teaching, discourse, dispute, argue
walk about while teaching, discourse, Pl. Ep. 348c, D.L. 7.109 ; π. ἐς τοὺς ἀκροωμένους dispute, argue with them, Philostr. VA 1.17, cf. 7.22.
3 walk, live
metaph., walk, i.e. live, Phld. Lib. p.12 O. ; κατὰ τὴν παράδοσιν Ev.Marc. 7.5 ; ἀτάκτως 2 Ep.Thess. 3.6.