 | Isaac Newton - 1769 - عدد الصفحات: 638
...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 - عدد الصفحات: 620
...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 - عدد الصفحات: 616
...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 - عدد الصفحات: 408
...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 - عدد الصفحات: 398
...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 - عدد الصفحات: 386
...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 - عدد الصفحات: 248
...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... | |
 | James Robinson (of Boston.) - 1847 - عدد الصفحات: 304
...the same name, the other two having also a like name, and the ratio of the first to the second being equal to the ratio of the third to the fourth, these four quantities or numbers are said to be in proportion. Hence, proportion is the equality of two ratios.... | |
 | Elias Loomis - 1849 - عدد الصفحات: 252
...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 - عدد الصفحات: 534
...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 euch that... | |
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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. 
