 | Euclides - 1855 - 270 pages
...and D, E, and F other three, which have the same 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 С, so is D to E. If A be greater than С, D is greater than F ; if equal, equal ; and if less, less.... | |
 | Eucleides - 1860 - 396 pages
...be four magnitudes A, B, C, 1), 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 is to C, so is F to G ; and as C is to D, so is G to II : then shall A be to D, as E is to H. Because A, B, C are... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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 C, so Fto G; \ and as Cto D, so G to H. Then A shall be to D, as E to H. Because A, B, Care three... | |
 | Euclides - 1863 - 122 pages
...C), and other thrve (D, E and F), which have the same ratio, taken two and twu, but in a cross order (viz., as A is to B so is E to F, and as B is to C so it D (oE), and if the first magnitude (A) be greater than the third (C), the fourth (D) is greater... | |
 | Euclides - 1864 - 448 pages
...there be four magnitudes A, B, C, D, and other four E, F, G, //, which two and two have the same ratio, viz. as A is to B, so is E to F; and as B to C, so F to G ; and as C to D, so G to H. Then A shall be to D, as E to Jl. ABCD EFGH Because A,... | |
 | Robert Potts - 1865 - 528 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 C, so F to G ; and as C to D, so G to H. Then A shall bo to D, as .E to 7T. A .BCD EFGH Because... | |
 | Euclides - 1865 - 402 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 C, so is F to G ; and as C to D, so G to H. Then A shsill be to D, as E to H. DEMONSTRATION Because... | |
 | Robert Potts - 1868 - 434 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 C, so .F to G ; and as C to D, so G to H. Then A shall be to D, as E to fl". ABCD EFGH Because A,... | |
 | Euclid - 1868 - 138 pages
...taken two and two in disturbed proportion, have the same ratio; that is, such that A is to B, as E is to F ; and as B is to C, so is D to E. I say that A is to С as D is to F. G - H - К -- A - B - С -- Construction. — Take of A, B, and... | |
 | Euclides - 1874 - 342 pages
...F, which taken two and two in a cross order have the same ratio ; that is, such that A is to B, as E to F • and as B is to C, so is D to F. Tlien A shall be to C, as D to F. QHI KMN, Construction. Take of A, B, D any equimultiples whatever... | |
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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... 
