Source : Webster's Revised Unabridged Dictionary (1913)
Proportion \Pro*por"tion\, 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.
--Ridley.
Formed in the best proportions of her sex. --Sir W.
Scott.
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.'' --Rom.
xii. 6.
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.
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.
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: 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
proportional.
{Continued proportion}, {Inverse proportion}, etc. See under
{Continued}, {Inverse}, etc.
{Harmonical, 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.
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.
{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.