Reciprocation n. : The act of reciprocating; interchange of acts; a mutual giving and returning; as, the reciprocation of kindnesses.

Reciprocation n. : Alternate recurrence or action; as, the reciprocation of the sea in the flow and ebb of tides.

Example:
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Taxonomy
Reciprocation, free encyclopedia, search, oscillatory motion, free dictionary, the action, versa, disambiguation pages, Personal tools, Interaction, Toolbox, non-profit organization, projective geometry, Wiktionary, reciprocating saw, circle inversion, duality, Reciprocity.

Defination from the web:
Reciprocation (motion), a type of oscillatory motion, as in the action of a reciprocating saw. Reciprocation (geometry), an operation in geometry related to circle inversion by which every point is transformed into a unique line and vice versa. ...