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" Four quantities are in proportion when the ratio of the first to the second is equal to the ratio of the third to the fourth. "
The Complete Arithmetic: Oral and Written - Page 384
by Daniel W. Fish - 1874 - 516 pages
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A Course of Mathematics: For the Use of Academies as Well as Private Tuition

Charles Hutton - Mathematics - 1812 - 620 pages
...£ or £ ; 5ec. 77. Proportion is an equality of ratios. Thus, 78. Three quantities are said to be Proportional, when the ratio of the first to the second...is equal to the ratio of the second to the third. As of the three quantities A (2), B (4), c (8), where .J ;= | = 2, both the same ratio. 79. Four quantities...
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A Course of Mathematics: For the Use of Academies, as Well as Private ...

Charles Hutton - Mathematics - 1822 - 616 pages
...8 to 20 is ,^=|. 77. Proportion is an equality of ratios. Thua, 78. Three quantities are said to be Proportional, when the ratio of the first to the second,...is equal to the ratio of the second to the third. As of the three quantities A (2), B (4), c (8), where f =f =5, both the same ratio. 79. Four quantities...
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Elements of Geometry Upon the Inductive Method: To which is Added an ...

James Hayward - Geometry - 1829 - 218 pages
...f = 1 ; that is, the ratio of 2 to 6 is equal to one third. 77. When four magnitudes are such that the ratio of the first to the second, is equal to the ratio of the third to the fourth, these four magnitudes are said to be in proportion. Proportion is equality of...
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A New and Easy Introduction to the Mathematics: Containing. A system of ...

Ira Wanzer - Arithmetic - 1831 - 408 pages
...Thus, 3 : 5, denotes the ratio of 3 to 5. Four quantities are said to be in geometrical proportion, when the ratio of the first to the second is equal to the ratio of the third to the fourth. Thus, the four numbers 8, 4, 14, 7, are proportional, because the ratio 8 : 4...
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Mechanics' Magazine, and Journal of the Mechanics' Institute, Volume 4

Industrial arts - 1835 - 398 pages
...2. Proportion is an equality of ratios. Thus— 3. Three quantities are said to be proper, tional, when the ratio of the first to the second is equal to the ratio of the second to the third. As of the three quantities A (2), A (4), с (8), where two fourths are equal to four eighths, and one...
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A Treatise on Geometry and Its Application in the Arts

Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...divide the product by a, and the quotient will be d. (264.) When three magnitudes are so related that the ratio of the first to the second is equal to the ratio of the second to the third, they are said to be in confirmed proportion; and the third is said to be a third proportional to the...
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Elementary Course of Geometry ...

Charles William Hackley - Geometry - 1847 - 248 pages
...ratio of Inequality. 76. Proportion is an equality of ratios. Thus, 77. Three quantities are said to be proportional when the ratio of the first to the second...is equal to the ratio of the second to the third. As of the three quantities, A = 2, B = 4, C = 8, where \ = £ = \, both the same ratio. 78. Four quantities...
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Elements of Geometry and Conic Sections

Elias Loomis - Conic sections - 1849 - 252 pages
...greater than its consequent; if equal, equal; and if less, less. Def. 3. Three quantities are said to be proportional, when the ratio of the first to the second...equal to the ratio of the second to the third; thus, if A, B, and C are in proportion, then A : B : : B : C. In this case the middle term is said to be...
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The practice and theory of arithmetic

William Frederick Greenfield - 1853 - 228 pages
...product of the extremes is equal to that of the meam, and conversely. Four numbers are proportionals when the ratio of the first to the second is equal to that of the third to the fourth. Hence these ratios must be compared, which is effected by comparing...
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Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - Science - 1854 - 534 pages
...is of course the same as the ratio 4 : 2, or the ratio 2:1. When there are four quantities such that the ratio of the first to the second is equal to the ratio of the third to the fourth, the four quantities are said tobe in proportion: thus, if the four quantities...
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