reciprocal, rec i proc all

& s. [Latin reciproc ( us )=returning, reciprocal, a word of unknown origin; Eng. adj. suff. -al; Fr. réciproque; Sp. & Ital. reciproco.] A. As adjective: I. Ordinary Language: 1. Moving backward and forward; acting with a forward and backward motion. "Sand brought in with the rec i proc all course of the tides." P. Holland: Camden, p. 206. 2. Acting alternately; alternate. 3. Acting in return for something done before. 4. Mutual; done by each in turn to the other. "Let our reciprocal vows be remembered." Shakesp.: Lear , iv. 6. 5. Mutually interchangeable. "These two rules will render a definition reciprocal with the thing defined."- Watts: Logic. II. Gram.: Reflexive. Applied to verbs which have as an object a pronoun standing for the subject; as, "Bethink yourself." It is also applied to pronouns of this cla . 1 1 B. As subst.: That which is reciprocal to another thing. Specif., in mathematics, the quotient resulting from the division of unity by the quantity; thus the reciprocal of a is, of 2 is, of a+ b is . a + b ' The product of a quantity, and its reciprocal, is always equal to 1. The reciprocal of a vulgar fracthus the reciprocal of 4 is 2, of is, . reciprocal-cro , s . *re-child', v. i. [Pref. re-, and Eng. child (q. v.).] tion is the denominator divided by the numerator; To become a child again. "When he, rec hilding , sought With childish sport to still thy cryes." Sylvester: The Magnificence, 526. re-çhoôşe', v. t. [Prefix re-, and English choose (q. v.).] To choose again. re-chōş-en, pa. par. or a. [RECHOOSE.] *re-çid-i-vate, v. i. [Latin recidivus =falling back, from recido =to fall back: re -back, and cado to fall; Fr. récidiver .] To fall back or again; to relapse, to backslide. "Thus then to recidivate , and to go against her own act."- Bp . Andrewes : Opuscula; Speech, p. 79. *re-çid-i-vā'-tion, s . [RECIDIVATE.] A falling back; a relapsing, a backsliding. "This rec i div at i on is desperate." - Bp . Hall : St. Paul's Combat. re-çid-I-vist, s. [French récidiviste.] One who has been convicted a second time; one of the worst cla of felons. "France guaranteeing, in consideration thereof, that no recidivists should be sent to any of the islands of the Pacific."- London Times . Biol.: A cro between the male of one species and the female of another,, and then between a male of the second and a female of the first. Darwin instances the case of a female a foal being cro ed with a stallion, and then a mare by a male a . He shows ( Origin of Species , ch. ix.) that the fertility greatly varies in different species. reciprocal-equation, s. Math .: An equation which remains unchanged in form, when the reciprocal of the unknown quantity is substituted for that quantity. reciprocal-figures, s. pl. Geom.: Two figures of the same kind, as triangles, parallelograms, ., so related that two sides of the one form the extremes of an analogy of which the means are the two corresponding sides of the other. reciprocal-proportion, s . [PROPORTION.] reciprocal-quantities, s . pl . Math.: Quantities which when multiplied together produce unity. reciprocal-ratio, 8. Math .: The ratio between the reciprocals of two quantities; thus, the reciprocal ratio of 2 to 3 is to. reciprocal-rectangles, s. pl. Geom.: Rectangles which are not equal, but whose areas are equivalent. The base is reciprocally proportional to the altitude, and the reverse. sin, as; expect, Xenophon, exist. ph = f. IMG:content-0276.png:[blocks in formation] trě-çip-ro-cal-i-ty, s. [Eng. reciprocal; -ity.] The quality or state of being reciprocal. ( Cole ridge.) rě-çip-rô-cal-ly, adv . [Eng. reciprocal ; -ly .] 1. Ord. Lang .: In a reciprocal manner; mutually; interchangeably; in such a manner that each affects the other, and is equally affected by it. "Infecting one another, yea, reciprocaliy .” Shakesp.: Henry VIII ., i. 1. 2. Math . & Physics: In reciprocal ratio or proportion; inversely; thus in bodies of the same weight the density is reciprocally as the magnitude; that is, the greater the magnitude the le the density, and the le the magnitude the greater the density. reciprocally-proportional, a. Math .: Two quantities are reciprocally proportional when both being variable the ratio of the one to the reciprocal of the other is constant. This requires that their product should be constant.