"sleight of hand; the performance of feats requiring dexterity and skill, particularly of the fingers," 1843, from French prestidigitation, which was coined along with prestidigitator (q.v.).
c. 1300, rehersen, "to give an account of, report, tell, narrate (a story); speak or write words;" early 14c., "repeat, reiterate;" from Anglo-French rehearser, Old French rehercier (12c.) "to go over again, repeat," literally "to rake over, turn over" (soil, ground), from re- "again" (see re-) + hercier "to drag, trail (on the ground), be dragged along the ground; rake, harrow (land); rip, tear, wound; repeat, rehearse;" from herse "a harrow" (see hearse (n.)).
The meaning "to say over again, repeat what has already been said or written" is from mid-14c. in English; the sense of "practice (a play, part, etc.) in private to prepare for a public performance" is from 1570s (transitive and intransitive). Related: Rehearsed; rehearsing.
1834, from Latinized form of Greek kation "going down," neuter present participle of katienai "to go down," from kata "down" (see cata-) + ienai "to go" (from PIE root *ei- "to go"). Proposed by the Rev. William Whewell, English polymath, and published by English physicist Michael Faraday. Compare ion.