Found 1 items, similar to Inverse proportion.
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Definition: Inverse proportion
, 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.
3. (Math.) Opposite in nature and effect; -- said with
reference to any two operations, which, when both are
performed in succession upon any quantity, reproduce that
quantity; as, multiplication is the inverse operation to
division. The symbol of an inverse operation is the symbol
of the direct operation with -1 as an index. Thus sin-1 x
means the arc or angle whose sine is x.
(Geom.), two figures, such that each point
of either figure is inverse to a corresponding point in
the order figure.
(Geom.), two points lying on a line drawn
from the center of a fixed circle or sphere, and so
related that the product of their distances from the
center of the circle or sphere is equal to the square of
, or Reciprocal ratio
(Math.), the ratio of
the reciprocals of two quantities.
, 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.
, n. [F., fr. L. proportio; pro before
+ portio part or share. See Portion
1. The relation or adaptation of one portion to another, or
to the whole, as respect magnitude, quantity, or degree;
comparative relation; ratio; as, the proportion of the
parts of a building, or of the body.
The image of Christ, made after his own proportion.
Formed in the best proportions of her sex. --Sir W.
Documents are authentic and facts are true precisely
in proportion to the support which they afford to
his theory. --Macaulay.
2. Harmonic relation between parts, or between different
things of the same kind; symmetrical arrangement or
adjustment; symmetry; as, to be out of proportion. “Let
us prophesy according to the proportion of faith.”
3. The portion one receives when a whole is distributed by a
rule or principle; equal or proper share; lot.
Let the women . . . do the same things in their
proportions and capacities. --Jer. Taylor.
4. A part considered comparatively; a share.
(a) The equality or similarity of ratios, especially of
geometrical ratios; or a relation among quantities
such that the quotient of the first divided by the
second is equal to that of the third divided by the
fourth; -- called also geometrical proportion
distinction from arithmetical proportion, or that in
which the difference of the first and second is equal
to the difference of the third and fourth.
Note: Proportion in the mathematical sense differs from
ratio. Ratio is the relation of two quantities of the
same kind, as the ratio of 5 to 10, or the ratio of 8
to 16. Proportion is the sameness or likeness of two
such relations. Thus, 5 to 10 as 8 to 16; that is, 5
bears the same relation to 10 as 8 does to 16. Hence,
such numbers are said to be in proportion. Proportion
is expressed by symbols thus:
[1913 Webster] a:b::c:d, or a:b = c:d, or a/b = c/d.
(b) The rule of three, in arithmetic, in which the three
given terms, together with the one sought, are
, Inverse proportion
, etc. See under
or Musical proportion
, a relation
of three or four quantities, such that the first is to the
last as the difference between the first two is to the
difference between the last two; thus, 2, 3, 6, are in
harmonical proportion; for 2 is to 6 as 1 to 3. Thus, 24,
16, 12, 9, are harmonical, for 24:9::8:3.
, according as; to the degree that. “In
proportion as they are metaphysically true, they are
morally and politically false.”