| Isaac Newton - 1769 - 638 σελίδες
...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 σελίδες
...£ 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 - 1822 - 616 σελίδες
...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 - 1829 - 218 σελίδες
...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 - 1829 - 228 σελίδες
...— -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 - 1831 - 408 σελίδες
...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 14 : 7 ;... | |
| 1835 - 398 σελίδες
...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 - 1840 - 386 σελίδες
...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 σελίδες
...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 - 1849 - 252 σελίδες
...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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