 | Robert Simson - 1806 - 546 Seiten
...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 Seiten
...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 Seiten
...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 Seiten
...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... | |
 | Jeremiah Day - 1820 - 352 Seiten
...third; that is, the first divided by the second, is equal to the fourth divided by the third. 372. When there is a series of quantities, such that the...second to the third, of the third to the fourth, &c. arc all equal ; the quantities are said to be in continued proportion. The consequent of each preceding... | |
 | Charles Hutton - 1822 - 616 Seiten
...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 - 1824 - 550 Seiten
...: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... | |
 | James Ryan, Robert Adrain - 1824 - 542 Seiten
...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... | |
 | Enoch Lewis - 1826 - 180 Seiten
...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 Seiten
...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... | |
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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. 
