Definition of Continued proportion. Meaning of Continued proportion. Synonyms of Continued proportion

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Definition of Continued proportion

Continued proportion
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 proportion
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.

Meaning of Continued proportion from wikipedia

- ratio was called the extreme and mean ratio by Euclid, and the divine proportion by Luca Pacioli; it also goes by other names. Mathematicians have studied...
- = C:D = E:F, is called a continued proportion. Ratios are sometimes used with three or even more terms, e.g., the proportion for the edge lengths of a...
- The following list includes the continued fractions of some constants and is sorted by their representations. Continued fractions with more than 20 known...
- because the proportion of children decreases while the proportion of the po****tion of working age increases. If fertility levels continue to decline,...
- Andrew which represented the union of England and Scotland. This principle continued in 1801 when the St Patrick cross was incorporated following the Union...
- volume ratio of (24/8) 3:1. As the dimensions increase, the volume will continue to grow faster than the surface area. Thus the square–cube law. This principle...
- 35th in the world in 2012 for its proportion of obese women and near the top of developed nations for its proportion of obese adults; 63% of its adult...
- which increased to 45% in 2020. Another survey in 2018 found that the proportion of people who would not want a homo****ual neighbor decreased from 55%...
- lifestyle contribute as well. Regardless of genes, a girl must have a certain proportion of body fat to attain menarche. Consequently, girls who have a high-fat...
- still continue today. Nearly one-quarter of highly skilled workers live overseas, mostly in Australia and Britain, which is the largest proportion from...