λύχνον μεθ' ἡμέραν ἅψας περιῄει λέγων ἄνθρωπον ζητῶ → he lit a lamp in broad daylight and said, as he went about, I am looking for a man
in a line: P. and V. ἑξῆς, ἐφεξῆς.
keep abreast of, v.: use P. and V. ἕπεσθαι (dat.), συνέπεσθαι (dat.).