| Euclides - 1863
...QED PEOP. XI. (THEouEM.)—Ratios that are equal to the same ratio, are equal to one another. If A **is to B as C is to D, and C is to D** as E is to F, then A is to 3 as E is to F. Take of A, C, and E, any equimultiples whatever, G, H, and... | |
| Euclides - 1881
...magnitudes, &o QED PBOP. XI. THEOREM. Ratios that are equal to the same ratio, are equal to one another. If A **is to B as C is to D ; and C is to D,** as E is to F. A is to B, aa E is to F. Take of A. C, and E, any equimultiples whatever, G, H, and K... | |
| Stanley Rosen - Philosophy - 2008 - 423 pages
...two unequal parts A and 8, and A is divided into parts c and d, whereas 8 is divided into e and f. A **is to B as c is to d, and c is to d** as e is to /". One of the first two parts stands for the visible domain, and the other for the intelligible... | |
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