 | Isaac Newton - 1769 - 638 sider
...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 - 1812 - 620 sider
...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 - 1822 - 616 sider
...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 - 1831 - 408 sider
...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... | |
 | 1835 - 398 sider
...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 - 1840 - 386 sider
...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 - 1847 - 248 sider
...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 - 1849 - 252 sider
...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 - 1854 - 534 sider
...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 - 1855 - 628 sider
...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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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. 
