 D, and other four E, F, G, H, which, two and two, have the same ratio, viz. as A is to B, so is E to F; and as B...  Manual of Euclid: Books IV, V, VI. - Page 60by Euclid - 1868Full view - About this book
 | Robert Potts - Geometry - 1876 - 446 pages
...there be four magnitudes, A, B, C, D, and other four E, F, G, H, which two and two have the same ratio, viz-, as A is to B, so is E to F; and as B to G, so F to G ; and as C to D, so G to H. Then A shall be to D, as E to H. Because A, B, C are three... | |
 | Euclides - Euclid's Elements - 1881 - 236 pages
...D, E, and F other three, which have the sai.ie ratio, taken two and two, but in a cross order, — viz., as A is to B, so is E to F, and as B is to C,...greater than F ; if equal, equal ; and if less, less. First, let A be greater than C. D is greater than F. Because A is greater than C, and B is any other... | |
 | Euclid - Mathematics, Greek - 1908 - 456 pages
...C, and B is some other magnitude, therefore A has to B a greater ratio than C has to B. [v. 8] But, as A is to B, so is E to F, and, as C is to B, inversely, so is E to D. Therefore also E has to F a greater ratio than E has to D. [v-... | |
 | Euclid - 452 pages
...C, and B is some other magnitude, therefore A has to B a greater ratio than C has to B. [v. 8] But, as A is to B, so is E to F, and, as C is to B, inversely, so is E to D. Therefore also E has to F a greater ratio than E has to D. [v-... | |
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