Reciprocal

[re·cip·ro·cal]

Reciprocal describes something that's the same on both sides. If you and your sister are in a big fight on a long car trip, you might resolve it through a reciprocal agreement that you'll stop poking her and she'll stop reading road signs out loud.

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Recurring in vicissitude; alternate.

Noun
hybridization involving a pair of crosses that reverse the sexes associated with each genotype

Noun
(mathematics) one of a pair of numbers whose product is 1: the reciprocal of 2/3 is 3/2; the multiplicative inverse of 7 is 1/7

Noun
something (a term or expression or concept) that has a reciprocal relation to something else; "risk is the reciprocal of safety"

Adjective S.
of or relating to the multiplicative inverse of a quantity or function; "the reciprocal ratio of a:b is b:a"

Adjective
concerning each of two or more persons or things; especially given or done in return; "reciprocal aid"; "reciprocal trade"; "mutual respect"; "reciprocal privileges at other clubs"

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Adjective S.
of or relating to or suggestive of complementation; "interchangeable electric outlets"

a.
Recurring in vicissitude; alternate.

a.
Done by each to the other; interchanging or interchanged; given and received; due from each to each; mutual; as, reciprocal love; reciprocal duties.

a.
Mutually interchangeable.

a.
Reflexive; -- applied to pronouns and verbs, but sometimes limited to such pronouns as express mutual action.

a.
Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities. See the Phrases below.

n.
That which is reciprocal to another thing.

n.
The quotient arising from dividing unity by any quantity; thus, / is the reciprocal of 4; 1/(a +b) is the reciprocal of a + b. The reciprocal of a fraction is the fraction inverted, or the denominator divided by the numerator.

Reciprocal

Re*cip"ro*cal , a. [L. reciprocus; of unknown origin.] 1. Recurring in vicissitude; alternate. 2. Done by each to the other; interchanging or interchanged; given and received; due from each to each; mutual; as, reciprocal love; reciprocal duties.
Let our reciprocal vows be remembered.
3. Mutually interchangeable.
These two rules will render a definition reciprocal with the thing defined.
4. (Gram.) Reflexive; -- applied to pronouns and verbs, but sometimes limited to such pronouns as express mutual action. 5. (Math.) Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities. See the Phrases below. Reciprocal equation (Math.), one which remains unchanged in form when the reciprocal of the unknown quantity is substituted for that quantity. -- Reciprocal figures (Geom.), two figures of the same kind (as triangles, parallelograms, prisms, etc.), so related that two sides of the one form the extremes of a proportion of which the means are the two corresponding sides of the other; in general, two figures so related that the first corresponds in some special way to the second, and the second corresponds in the same way to the first. -- Reciprocal proportion (Math.), a proportion such that, of four terms taken in order, the first has to the second the same ratio which the fourth has to the third, or the first has to the second the same ratio which the reciprocal of the third has to the reciprocal of the fourth. Thus, 2:5: :20:8 form a reciprocal proportion, because 2:5: :1/20:1/8. -- Reciprocal quantities (Math.), any two quantities which produce unity when multiplied together. -- Reciprocal ratio (Math.), the ratio between the reciprocals of two quantities; as, the reciprocal ratio of 4 to 9 is that of 'ac to 1/9. -- Reciprocal terms (Logic), those terms which have the same signification, and, consequently, are convertible, and may be used for each other. Syn. -- Mutual; alternate. -- Reciprocal, Mutual. The distinctive idea of mutual is, that the parties unite by interchange in the same act; as, a mutual covenant; mutual affection, etc. The distinctive idea of reciprocal is, that one party acts by way of return or response to something previously done by the other party; as, a reciprocal kindness; reciprocal reproaches, etc. Love is reciprocal when the previous affection of one party has drawn forth the attachment of the other. To make it mutual in the strictest sense, the two parties should have fallen in love at the same time; but as the result is the same, the two words are here used interchangeably. The ebbing and flowing of the tide is a case where the action is reciprocal, but not mutual.

Reciprocal

Re*cip"ro*cal, n. 1. That which is reciprocal to another thing.
Corruption is a reciprocal to generation.
2. (Arith. & Alg.) The quotient arising from dividing unity by any quantity; thus 'ac is the reciprocal of 4; 1/(a + b) is the reciprocal of a + b. The reciprocal of a fraction is the fraction inverted, or the denominator divided by the numerator.

Recurring in vicissitude; alternate.

That which is reciprocal to another thing.

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Usage Examples

The inventions and the great discoveries have opened up whole continents to reciprocal communication and interchange, provided we are willing.

The hypothesis may be put forward, to be tested by the s subsequent investigation, that this development has been in large part a matter of the reciprocal interaction of new factual insights and knowledge on the one hand with changes in the theoretical system on the other.

Misspelled Form

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Other Usage Examples

Insofar as international law is observed, it provides us with stability and order and with a means of predicting the behavior of those with whom we have reciprocal legal obligations.

Every relationship between persons causes a picture of each to take form in the mind of the other, and this picture evidently is in reciprocal relationship with that personal relationship.

Life cannot subsist in society but by reciprocal concessions.