"lie at rest," late 15c., from Middle French reposer, from Old French repauser (10c.), from Late Latin repausare "cause to rest," from Latin re-, here probably an intensive prefix, + Late Latin pausare "to stop" (see pause). Related: Reposed; reposing.
"put, place," early 15c., from Latin repos-, stem of reponere "put back, put away," from re- "back, away" (see re-) + ponere "to put, place" (see position). Or perhaps formed in Middle English from Old French poser, on model of disposen "dispose."