# Hypertext Webster Gateway: "reciprocal"

## From Webster's Revised Unabridged Dictionary (1913) (web1913)

Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
inverse. See {Invert}.]
1. Opposite in order, relation, or effect; reversed;
inverted; reciprocal; -- opposed to {direct}.

2. (Bot.) Inverted; having a position or mode of attachment
the reverse of that which is usual.

{Inverse}, or {Reciprocal}, {ratio} (Math.), the ratio of the
reciprocals of two quantities.

{Inverse}, or {Reciprocal, {proportion}, an equality between
a direct ratio and a reciprocal ratio; thus, 4 : 2 : : 1/3
: 1/6, or 4 : 2 : : 3 : 6, inversely.

## From Webster's Revised Unabridged Dictionary (1913) (web1913)

Reciprocal \Re*cip"ro*cal\, n.
1. That which is reciprocal to another thing.

Corruption is a reciprocal to generation. --Bacon.

2. (Arith. & Alg.) The quotient arising from dividing unity
by any quantity; thus 3/4 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.

## From Webster's Revised Unabridged Dictionary (1913) (web1913)

Reciprocal \Re*cip"ro*cal\, a. [L. reciprocus; of unknown
origin.]
1. Recurring in vicissitude; alternate.

These two rules will render a definition reciprocal
with the thing defined. --I. Watts.

{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 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.

## From WordNet (r) 1.7 (wn)

reciprocal
adj : concerning each of two or more persons or things; especially
given or done in return; "reciprocal aid"; "reciprocal
trade"; "reciprocal respect"; "reciprocal privileges at
other clubs" [ant: {nonreciprocal}]
n : (math) one of a pair of numbers whose product is 1: the
reciprocal of 2/3 is 3/2; the inverse of 7 is 1/7 [syn: {inverse}]

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