ὁ δὲ πείσεται εἰς ἀγαθόν περ → he will obey you to his profit, he will obey you for his own good end
prō-lĭcĕo: cui, 2, v. n. liqueo,I to run or flow forth: prolicere, emanare, effluere. Varro: demum ubi prolicuit dulcis unda, Gloss. Isid.