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2 definitions found
 for Inverse proportion
From The Collaborative International Dictionary of English v.0.48 :

  Inverse \In*verse"\, a. [L. inversus, p. p. of invertere: cf. F.
     inverse. See Invert.]
     [1913 Webster]
     1. Opposite in order, relation, or effect; reversed;
        inverted; reciprocal; -- opposed to direct.
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     2. (Bot.) Inverted; having a position or mode of attachment
        the reverse of that which is usual.
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     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.
        [1913 Webster]
     Inverse figures (Geom.), two figures, such that each point
        of either figure is inverse to a corresponding point in
        the order figure.
     Inverse points (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
        the radius.
     Inverse ratio, or Reciprocal ratio (Math.), the ratio of
        the reciprocals of two quantities.
     Inverse proportion, 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.
        [1913 Webster]

From The Collaborative International Dictionary of English v.0.48 :

  Proportion \Pro*por"tion\, n. [F., fr. L. proportio; pro before
     + portio part or share. See Portion.]
     [1913 Webster]
     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.
        [1913 Webster]
              The image of Christ, made after his own proportion.
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              Formed in the best proportions of her sex. --Sir W.
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              Documents are authentic and facts are true precisely
              in proportion to the support which they afford to
              his theory.                           --Macaulay.
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     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." --Rom.
        xii. 6.
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     3. The portion one receives when a whole is distributed by a
        rule or principle; equal or proper share; lot.
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              Let the women . . . do the same things in their
              proportions and capacities.           --Jer. Taylor.
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     4. A part considered comparatively; a share.
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     5. (Math.)
        (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, in
            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.
            [1913 Webster]
     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.
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        (b) The rule of three, in arithmetic, in which the three
            given terms, together with the one sought, are
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     Continued proportion, Inverse proportion, etc. See under
        Continued, Inverse, etc.
     Harmonical proportion 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.
     In proportion, according as; to the degree that. "In
        proportion as they are metaphysically true, they are
        morally and politically false." --Burke.
        [1913 Webster]

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