| Isaac Newton - Algebra - 1769 - 638 pages
...geometrical- Progreflion. 70. Fiur Quantities are in geometrical Proportion when the Ratio of tKe Fir/! ta **the Second is equal to the Ratio of the Third to the** Fourth ; and Quantities are in geometrical Progreifion, when they intreafe, or decreafe, by equal Ratios... | |
| Charles Hutton - Mathematics - 1812 - 620 pages
...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... | |
| Charles Hutton - Mathematics - 1822 - 616 pages
...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.... | |
| Ira Wanzer - Arithmetic - 1831 - 408 pages
...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 is equal to the... | |
| Industrial arts - 1835 - 398 pages
...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... | |
| Dionysius Lardner - Curves, Plane - 1840 - 386 pages
...and 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... | |
| Charles William Hackley - Geometry - 1847 - 248 pages
...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... | |
| Elias Loomis - Conic sections - 1849 - 252 pages
...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 is 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... | |
| William Somerville Orr - Science - 1854 - 534 pages
...this ratio 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 a, b, c, d, be... | |
| Charles Davies, William Guy Peck - Mathematics - 1855 - 628 pages
...measured quantity ; hence, the measure of proportion is ratio. 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 ; this relation is expressed algebraically thus, a : b :: с : d. This expression is called... | |
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