 | Robert Simson - Trigonometry - 1827 - 546 pages
...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... | |
 | Pierce Morton - Geometry - 1830 - 584 pages
...of magnitudes of the same kind A, B, C, D, E, F, and as many others, A', B', C', D', E', F ; and if the ratios of the first to the second, of the second to the third, of the third to the fourth, and so on, be * Sometimes also, and more appropriately, by the nlibb words " by мни and difference."... | |
 | Mathematics - 1835 - 684 pages
...of magnitudes of the same kind A, B, C, D, E, F, and as many others, A', B', C', D', E', F' ; and if the ratios of the first to the second, of the second to the third, of the third to the fourth, and so on, be * Sometimes also, and more appropriately, by the English words " by «urn and difference."... | |
 | Industrial arts - 1835 - 398 pages
...of quantities, А, в, с, 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. 9. Inverse ratio is when the antecedent is made the consequent, and the consequent... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...ratios, consists in three Wrms at least, an with fewer terms there could not be two or more ratios. kind, such that the ratios of the first to the second, of the second to the third, and so on, whatever may be their number, are all equal ; the magnitudes are said to be continual proportionals.... | |
 | Andrew Bell (writer on mathematics.) - 1839 - 500 pages
...the first of any number of quantities to the last, is equal to the ratio which is compounded of that of the first to the second, of the second to the third, of the third to the fourth, and so on to the last.1 For let a, b, c, d, e, be five quantities, then (a : b, b:c, ab с da с i... | |
 | Thomas Hobbes - 1839 - 568 pages
...proportion to one another, the proportion of the first to the last is compounded of the proportions of the first to the second, of the second to the third, and so on till you come to the last ; or, the proportion of the first to the last is the same with... | |
 | Euclides - 1842 - 316 pages
...number of magnitudes of the same kind, the ratio of the first to the last is said to be compounded of the ratios of the first to the second, of the second to the third, of the third to the fourth, and so on to the last magnitude. XVII. If three magnitudes be continual proportionals, the ratio of... | |
 | Augustus De Morgan - Calculus - 1842 - 878 pages
...sufficiently small, can be made as small as we please. Nevertheless this decrease increases the ratio of the first to the second, of the second to the third, and so on, and the increase is without limit. Again, if we take (1) and A, the ratio of (1) to h is... | |
 | James Bates Thomson - Algebra - 1844 - 272 pages
...third; that is, the first divided by the second, is equal to the fourth divided by the third. 322. When there is a series of quantities, such that the...ratio is then the antecedent of the following one. NB Continued proportion is also called progression. 323. In the preceding articles of this section,... | |
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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. 
