 | Robert Simson - 1806 - 546 sider
...observed, that in any magnitudes whatever of the same kind A, B, C, D, 8ec. the ratio compounded of the ratios of the first to the second, of the second to the third, and so on to the last, is only a name or expression by which the ratio which the first A has to the... | |
 | Charles Hutton - 1812 - 620 sider
...number of quantities, A, B, c, D, the ratio of the first A, to the last p, is said 10 be Compounded of the ratios of the first to the second, of the second to the third, and so on to the last. 84. Inverse ratio is, when the antecedent is made the consequent, and the consequent... | |
 | Charles Butler - 1814 - 528 sider
...any series of quantities of the same kind, the first will have to the last, the^ratio compounded of the ratios of the first to the second, of the second to the third, of the third to the fourth, &c. to the last quantity. 44. If two ratios of the greater inequality be compounded together, each ratio... | |
 | Euclides - 1816 - 588 sider
...observed, that in any magnitudes whatever of the same kind, A, B, C, D, &c. the ratio compounded of the ratios of the first to the second, of the second to the third, and so on to the last, is only a name or expression by which the ratio which the first A has to the... | |
 | Charles Hutton - 1822 - 616 sider
...number of quantities, A, B, c, D, the ratio of the first, A, to the last D, is said to be Compounded of the ratios of the first to the second, of the second to the third, and so on to the last. 84. Inverse ratio is, when the antecedent is made the consequent, and the consequent... | |
 | James Ryan, Robert Adrain - 1824 - 542 sider
...QED PROP. XXVI. THEOR. If there be any number of magnitudes of the same kind, the ratio compounded of the ratios of the first to the second, of the second to the third, and so on to the last, is equal to the ratio of the first to the last. DEMONSTRATION. Let the magnitudes... | |
 | James Ryan - 1824 - 550 sider
...:FROP. XXVI. THEOR. If there be any number of magnitudes of the same kind, the ratio compounded of the ratios of the first to the second, of the second to the third, and so on to the lost, ie, equal to the ratio of the first to the last. DEMONSTRATION. Let the magnitudes... | |
 | Enoch Lewis - 1826 - 180 sider
...first of a series of quantities, of like kind, has to the last, is the same as the ratio compounded of the ratios of the first to the second, of the second to the third, &c. to the last. Let a, b, c, d, e,f, be quantities of a like kind, then aabcde 7=-r- X — X— y... | |
 | James Ryan - 1826 - 430 sider
...QED PROP. XXVI. THEOR. If there be any number of magnitudes of the same kind, the ratio compounded of the ratios of the first to the second, of the second to the thiid, and MI on to the last, is equal to the ratio of the first to the last. DEMONSTRATION. Let the... | |
 | Jeremiah Day - 1827 - 352 sider
...the couplets is inverted, without writing them in the form of a fraction. — (Art. 351.) Thus 4 : 2; ;3 : 6 inversely. In this case, the first term is...The consequent of each preceding ratio is, then, the anfecedent of the following one. — Continued proportion is also called progression, as will be seen... | |
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When there is a series of quantities, such that the ratios of the first to the second, of the second to the third, of the third to the fourth, &c., are all equal ; the quantities are said to be in continued proportion. 
