Definition of Reciprocal figures. Meaning of Reciprocal figures. Synonyms of Reciprocal figures

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Definition of Reciprocal figures

Reciprocal figures
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. --Shak. 3. Mutually interchangeable. These two rules will render a definition reciprocal with the thing defined. --I. 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. 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 3/4 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. Usage: 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.

Meaning of Reciprocal figures from wikipedia

- the number of figures in the recurring periods in the reciprocals of prime numbers. Shanks, William (1873). "On Periods in the Reciprocals of Primes". The...
- establishing the theoretical basis of control engineering. In his paper "On reciprocal figures, frames and diagrams of forces" (1870) he discussed the rigidity of...
- Reciprocal inhibition is a neuromuscular process in which muscles on one side of a joint relax to allow the contraction of muscles on the opposite side...
- bracings", particularly pp. 158–161). Maxwell, James Clerk (1864), "On reciprocal figures and diagrams of forces", Philosophical Magazine, 4th Series, vol. 27...
- "reciprocal tariffs" prompted retaliation from trade partners and triggered a stock market crash. According to the Trump administration's reciprocal tariff...
- Leudesdorf) Graphical statics. Two treatises on the graphical calculus and reciprocal figures in graphical statics (Clarendon press, Oxford, 1890) (Translated by...
- non-square roots. The following are iterative methods for finding the reciprocal square root of S which is 1 / S {\displaystyle 1/{\sqrt {S}}} . Once it...
- 1016/0022-3093(83)90424-6. Maxwell, J. Clerk (April 1864). "XLV. On reciprocal figures and diagrams of forces". The London, Edinburgh, and Dublin Philosophical...
- ISBN 978-3-540-04629-5, MR 0250916 Maxwell, J. Clerk (1864), "On reciprocal figures and diagrams of forces", Philosophical Magazine, 4th Series, 27 (182):...
- physicist James Clerk Maxwell (1831–1879), who proved it in his work on reciprocal figures, which are of importance in statics. Daniel Pedoe: Geometry: A Comprehensive...