- geometrical proportion
- 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. --Ridley. [1913 Webster]

Formed in the best proportions of her sex. --Sir W. Scott. [1913 Webster]

Documents are authentic and facts are true precisely in proportion to the support which they afford to his theory. --Macaulay. [1913 Webster]

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. [1913 Webster]

3. The portion one receives when a whole is distributed by a rule or principle; equal or proper share; lot. [1913 Webster]

Let the women . . . do the same things in their proportions and capacities. --Jer. Taylor. [1913 Webster]

4. A part considered comparatively; a share. [1913 Webster]

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 proportional. [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]

*The Collaborative International Dictionary of English.
2000.*

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**geometrical proportion**— relation between geometrical objects … English contemporary dictionary**geometrical proportion**— noun see proportion I … Useful english dictionary**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;… … The Collaborative International Dictionary of English**proportion**— [prə pôr′shən, prōpôr′shən] n. [ME proporcioun < MFr proporcion < L proportio < pro, FOR1 + portio, part: see PORTION] 1. the comparative relation between parts, things, or elements with respect to size, amount, degree, etc.; ratio 2. a… … English World dictionary**geometrical**— late 14c., from L. geometricus of geometry, from geometria (see GEOMETRY (Cf. geometry)) + AL (Cf. al). Opposed to arithmetical in ratio, proportion, etc., reflecting the fact that problems of multiplication formerly were dealt with by geometry,… … Etymology dictionary**proportion**— Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… … The Collaborative International Dictionary of English**Geometrical**— Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… … The Collaborative International Dictionary of English**Geometrical curve**— Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… … The Collaborative International Dictionary of English**Geometrical pace**— Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… … The Collaborative International Dictionary of English**Geometrical plane**— Geometric Ge o*met ric, Geometrical Ge o*met ric*al, a. [L. geometricus; Gr. ?: cf. F. g[ e]om[ e]trique.] 1. Pertaining to, or according to the rules or principles of, geometry; determined by geometry; as, a geometrical solution of a problem.… … The Collaborative International Dictionary of English