Roget's Thesaurus: Entry 12 (Double or reciprocal relation)

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#12. [Double or reciprocal relation.] Correlation. -- N. reciprocalness &c. adj[obs].; reciprocity, reciprocation; mutuality, correlation, interdependence, interrelation, connection, link, association; interchange &c. 148; exchange, barter.

reciprocator, reprocitist.

V. reciprocate, alternate; interchange &c. 148; exchange; counterchange[obs].

Adj. reciprocal, mutual, commutual[obs], correlative, reciprocative, interrelated, closely related; alternate; interchangeable; interdependent; international; complemental, complementary.

Adv. mutually, mutatis mutandis[Lat]; vice versa; each other, one another; by turns &c. 148; reciprocally &c. adj.

Phr. " happy in our mutual help " [Milton].