| 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
...£ 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... | |
| 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.... | |
| 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 ratios. " A PROPORTION,"... | |
| James Hayward - Geometry - 1829 - 228 pages
...— -i ; 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** fourt.n, these four magnitudes arc said to be in proportion. Proportion is equality of ratios, " A... | |
| 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 is equal to the ratio... | |
| 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... | |
| 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... | |
| 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... | |
| 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 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... | |
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