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2 definitions found
 for Continued proportion
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.
           [1913 Webster]
        (b) The rule of three, in arithmetic, in which the three
            given terms, together with the one sought, are
            [1913 Webster]
     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]

From The Collaborative International Dictionary of English v.0.48 :

  Continued \Con*tin"ued\, p. p. & a.
     Having extension of time, space, order of events, exertion of
     energy, etc.; extended; protracted; uninterrupted; also,
     resumed after interruption; extending through a succession of
     issues, session, etc.; as, a continued story. "Continued
     woe." --Jenyns. "Continued succession." --Locke.
     [1913 Webster]
     Continued bass (Mus.), a bass continued through an entire
        piece of music, while the other parts of the harmony are
        indicated by figures beneath the bass; the same as
        thorough bass or figured bass; basso continuo. [It.]
     Continued fever (Med.), a fever which presents no
        interruption in its course.
     Continued fraction (Math.), a fraction whose numerator is
        1, and whose denominator is a whole number plus a fraction
        whose numerator is 1 and whose denominator is a whole
        number, plus a fraction, and so on.
     Continued proportion (Math.), a proportion composed of two
        or more equal ratios, in which the consequent of each
        preceding ratio is the same with the antecedent of the
        following one; as, 4 : 8 : 8 : 16 :: 16 : 32.
        [1913 Webster]

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