| Robert Simson - Trigonometry - 1806 - 546 pages
...briefly expressed, by saying A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed,...to have to N the ratio compounded of the ratios of £ to F, G'to H, and K to L. XII. In proportionals, the antecedent terms are called homologous to one... | |
| John Playfair - Mathematics - 1806 - 320 pages
...the ratio compounded of the ratios which are the same with the ratios of E to F, G to H, and KtoL. In like manner, the same things being supposed, if...D, then, for shortness sake, M is said to have to N a ratio compounded of the same ratios which compound the ratio of A to D ; that is, a ratio compounded... | |
| Euclid - Geometry - 1810 - 554 pages
...briefly expressed, by saying A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if M have to N the same ratio which A has to D; then, for shortness' sake, M is said to have to N, the ratio... | |
| John Mason Good - 1813 - 714 pages
...to Г) the ratio compounded of the ratios of E to F, G to H, and К to L. In like manner, the tame things being supposed» if M has to N the same ratio...to N, the ratio compounded of the ratios of E to F, U to Ы, and К to L. 12. hi proportionals, the antecedent terms are •called homologous to one another,... | |
| John Playfair - Circle-squaring - 1819 - 350 pages
...to D the ratio compounded of the ratios which are the same with the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed,...then, for shortness' sake, M is said to have to N a ratio compounded of the same ratios, which compound the ratio of A to D ; that is, a ratio compounded... | |
| Euclid, John Playfair - Euclid's Elements - 1826 - 326 pages
...ratio eompounded of the ratios whieh are the same with the ratios of E to F, G to H, and K to L. IB like manner, the same things being supposed, if M has to N the game ratio whieh A has to D, then, for shortness' sake, M is said to have to N a ratio eompounded of... | |
| Robert Simson - Trigonometry - 1827 - 546 pages
...briefly expressed by saying, A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if M has to N the same ratio which A has to I); then, for shortness sake, M is said to have to N the ratio compounded of the ratios of E to F,... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...to D the ratio compounded of the ratios which are the same with the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed,...ratio which A has to D, then, for shortness' sake, Mis said to have to N a ratio compounded of the same ratios, which compound the ratio of A to D ; that... | |
| John Playfair - Euclid's Elements - 1835 - 336 pages
...to D the ratio compounded of the ratios which are the same with the ratios of E to F, G to H, and K to L. In like manner, the same things being supposed, if M has to'N the sameratio which A has to D, then, for shortness' sake, M is said to have to N a ratio compounded... | |
| Robert Simson - Geometry - 1838 - 434 pages
...briefly expressed, by saying A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner the same things being supposed, if M have to N the same ratio which A has to D: then for shortness' sake, M is said to have to N, the ratio... | |
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