 | Euclides - 1841 - 378 pages
...briefly expressed by sayipg, A has to D the ratio compounded of the ratios of E to F, G to H, and K to L. compounded of the ratios of E to F, G to H, and KtoL. XII. In proportionals, the antecedent terms are called homologous to one another, as also the... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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...compounded of the ratios of E to F, G to H, and K to L. 11. If three magnitudes are continual proportionals, the ratio of the first to the third is said to... | |
 | Euclid - Geometry - 1845 - 218 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...then, for shortness' sake, M is said to have to N the ratio compounded of the ratios of E to F, G to H, and K to L. XII. In proportionals, the antecedent... | |
 | Euclides - 1845 - 544 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 . I has to D ; then, for shortness sake, .!/ is said to have to .iV the latio compounded of the ratios... | |
 | John Playfair - Euclid's Elements - 1846 - 332 pages
...which are the same with the ratios of E to F, G to H, and K to L. In like manner, the same things heing supposed, if M has to N the same ratio which A has...compounded of the ratios of E to F, G to H, and K to L. 11. If three magnitudes are continual proportionals, the ratio of the first to the third is said to... | |
 | Euclides - 1846 - 292 pages
...briefly expressed by saying, A has to D the ratio compounded of the ratios of E to F, K to H, and K to L. In like manner, the same things being supposed, if...then, for shortness' sake, M is said to have to N the ratio compounded of the ratios of E to F, G to H, and KtoL. xn. In proportionals, the antecedent... | |
 | Euclides - 1848 - 52 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 D j then, for shortness sake, M is said to have to N the ratio compounded of the ratios of E to F, G... | |
 | Euclides - Geometry - 1853 - 176 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...', then, for shortness sake, m is said to have to n the ratio compounded of the ratios of e to f, g to h, and k to l. XII. In proportionals, the antecedent... | |
 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 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...then, for shortness' sake, M is said to have to N tfie ratio compounded of the ratios of E to F, G to H, and K to L. 12. In proportionals, the antecedent... | |
 | John Playfair - Geometry - 1855 - 336 pages
...or, the ratio of A to D is said to be compounded of the ratios of A to B, B to C, and C to D. In hke manner, the same things being supposed, if M has to...compounded of the ratios of E to F, G to H, and K to L. 11. If three magnitudes are continual proportionals, the ratio of the first to the third is said to... | |
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And the same thing is to be understood when it is more 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... 
