 | Robert Simson - 1806 - 546 sider
...the second to the third, and so on, if there were more of them, they called this ratio of the first to the last, the ratio compounded of the ratios of the first to the second, and of the second to the third straight line : that is, in the present example, of the ratios which... | |
 | Charles Hutton - 1811 - 406 sider
...D, the ratio of the first A, to the last D, is said to be Compounded of the ratios of the first t° the second, of the second to the third, and so on to the last. 81. Inverse ratio is, when the antecedent is made the consequent, and the consequent the antecedent.... | |
 | Charles Hutton - 1812 - 620 sider
...83. Of any 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 the antecedent.... | |
 | Charles Butler - 1814 - 582 sider
...the last consequent e. 43. Hence, in 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... | |
 | Charles Butler - 1814 - 528 sider
...43. Hence, in 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... | |
 | Jeremiah Day - 1814 - 304 sider
...second, is equal 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 sider
...has been said' it may be 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...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 last D is signified, and... | |
 | Euclid, Robert Simson - 1821 - 514 sider
...has been said, it may be 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, /bf the second to the third, and so on to the last, is only a name or expression by which the ratio... | |
 | Charles Hutton - 1822 - 616 sider
...83. Of any 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 the antecedent.... | |
 | James Ryan, Robert Adrain - 1824 - 542 sider
...proportionals be the greatest. 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...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 of the same kind... | |
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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. 
