| 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, Plane - 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 - 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... | |
| 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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