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. The Academic Algebra - Página 152por William Frothingham Bradbury, Grenville C. Emery - 1889 - 414 páginasVista completa - Acerca de este libro
| Charles Hutton - 1812 - 620 páginas
...£ 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 páginas
...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 páginas
...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 páginas
...— -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 páginas
...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... | |
| 1835 - 398 páginas
...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 páginas
...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 páginas
...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 páginas
...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... | |
| William Frederick Greenfield - 1853 - 228 páginas
...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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