"lie at rest," 1470, from M.Fr. reposer, from O.Fr. repauser (10c.), from L.L. repausare "cause to rest," from L. re-, intensive prefix, + L.L. pausare "to stop" (see pause). The noun is attested from 1509.
"put, place," c.1420, from L. repos-, stem of reponere "put back, put away," from re- "back, away" + ponere "to put, place" (see position). Or perhaps formed in M.E. from O.Fr. poser, on model of disposen "dispose."