 | Robert Simson - 1806 - 546 σελίδες
...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 σελίδες
...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 - 582 σελίδες
...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... | |
 | Jeremiah Day - 1814 - 304 σελίδες
...to the fourth divided by the third. 372. 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.... | |
 | Euclides - 1816 - 588 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 X —... | |
 | Robert Simson - 1827 - 546 σελίδες
...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... | |
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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. 
