n. A going back and forth; alternation of movement.n. The act of reciprocating; interchange of acts; a mutual giving and returning: as, the reciprocation of kindnesses.n. In logic, the relation of two propositions each the converse of the other.n. The process of taking the reciprocal (of a curve, proposition, or quantity).n. In geometry, the correlation of two reciprocal figures. See reciprocal, a., 4.