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
seated astride on: V. βεβὼς ἐπί (gen.), ἐμβεβώς (dat.).
be seated astride on: use sit on.