 | Robert Potts - 1868 - 434 pages
...expressed by saying, A has to j>^he ratio compounded of the ratios of E to F, 6? to S , and K. to L. Ill like manner, the same things being supposed, if M has to N the same ratio which A has to D ; then, tor shortness' sake, M is said to have to N the ratio compounded of the ratios of E to F, O to 11,... | |
 | Euclides - 1874 - 342 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 KtoL. 12. In proportionals, the antecedent... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...expressed by saying, A has to JD the ratio compounded of the ratios of E to F, G to S, and JCto L. In like manner, the same things being supposed, if M has to JY the same ratio which A has to D ; then, for shortness' sake, M is said to have to Jf the ratio compounded... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 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 that A has to D ; then, for the sake of shortness, M is said to have to N the ratio compounded of the... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...has to D the ratio compounded of the ratios of E to F, G to H, and K to L. In like manner, the name things being supposed, if M has to N the same ratio...then, for shortness' sake, M is said to have to N the ratio compounded of the ration of B to F, G to H, aud K to L. This definition marked A, is usually... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 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 that A has to D ; then, for the sake of shortness, M is said to have to N the ratio compounded of the... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...expressed, by saying, A has to D the ratio compounded of the ratios of E to F, G to //, and K to L. In like manner, the same things being supposed, if...; then, for shortness' sake, M is said to have to .A^the ratio compounded of the ratios of E to F, G to H, and K to L." De Morgan has some admirable... | |
 | Euclid - 452 pages
...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." supply a plausible explanation of... | |
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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... 
