Webster's Revised Unabridged Dictionary (1913)
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.
That which is reciprocal to another thing.
Used to denote different kinds of mutual relation; often with reference to the substitution of reciprocals for given quantities. See the Phrases below.
Reflexive; -- applied to pronouns and verbs, but sometimes limited to such pronouns as express mutual action.
Recurring in vicissitude; alternate.
Done by each to the other; interchanging or interchanged; given and received; due from each to each; mutual; as, reciprocal love; reciprocal duties.
Webster's Revised Unabridged Dictionary (1913), edited by Noah Porter. About
hEnglish - advanced version
\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. watts.
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.
equation (math.), one which remains unchanged in form when the reciprocal of the unknown quantity is substituted for that quantity.
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.
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.
quantities (math.), any two quantities which produce unity when multiplied together.
ratio (math.), the ratio between the reciprocals of two quantities; as, the reciprocal ratio of 4 to 9 is that of ¼ to 1/9.
terms (logic), those terms which have the same signification, and, consequently, are convertible, and may be used for each other.
law of reciprocal proportions
for Vocabulary Exams of KPDS, YDS,UDS (in Turkey); and SAT in America
Mutually interchangeable or convertible.
1. something (a term or expression or concept) that has a reciprocal relation to something else; "risk is the reciprocal of safety"
(hypernym) reciprocality, reciprocity
2. (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
(synonym) multiplicative inverse
(hypernym) inverse, opposite
(classification) mathematics, math, maths
3. hybridization involving a pair of crosses that reverse the sexes associated with each genotype
(synonym) reciprocal cross
(hypernym) hybridization, hybridisation, crossbreeding, crossing, cross, interbreeding, hybridizing
1. 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"
2. of or relating to or suggestive of complementation; "interchangeable electric outlets"
(synonym) complementary, interchangeable
3. of or relating to the multiplicative inverse of a quantity or function; "the reciprocal ratio of a:b is b:a"