 | Charles Hutton - 1812 - 620 σελίδες
...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 ;= |... | |
 | Charles Hutton - 1822 - 616 σελίδες
...,^=|. 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,... | |
 | 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... | |
 | 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... | |
 | Charles William Hackley - 1847 - 248 σελίδες
...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 \ = £... | |
 | Elias Loomis - 1849 - 252 σελίδες
...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.... | |
 | Benjamin Naylor - 1850 - 334 σελίδες
...ratio of 13 to 17 is Tf , and of 65 to 85 it is f |j=i$. Proportion is equality of ratio. Four numbers are said to be proportionals when the ratio of the first to the second is the same as the ratio of the third to the fourth ; hence, 17, 13, 85, 65, are proportionals. The first... | |
 | William Frederick Greenfield - 1853 - 228 σελίδες
...given order, the 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 the products... | |
 | Barnard Smith - 1854 - 368 σελίδες
...and thus those numbers are proportionals. 149. When proportion exists among four numbers, that is, when the ratio of the first to the second is equal to that of the third to the fourth, this proportion or equality is often denoted by writing down the two ratios in... | |
 | 1855 - 424 σελίδες
...that the first divided by the second is equal to the third divided by the fourth — in other words, when the ratio of the first to the second is equal to the ratio of the third to the fourth, the four are said to be in direct proportion. From this definition... | |
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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. 
