 | Robert Simson - 1762 - 488 Seiten
...the magnitude A be to B, as C is to D, then alfo inyerfely B if to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. Firft, Let E be greater than G, then G is lefs than E ; and becaufe A is to B, as C is to D, and of... | |
 | Robert Simson - 1775 - 534 Seiten
...the magnitude A be to B, as C is to D, then alfo inverfelf B is to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. Firft, Let £ be greater than G, then G is lefs than E ; and, becaufe A is to B, as C is to D, and... | |
 | Euclid - 1781 - 552 Seiten
...the magnitude A be to B, as C is to D, then alfo inverfely B is to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any equimultiples whatever G and H. Firft, Let E be greater than G, then G is lefs than E; and, becaufe A is to B, as C is to D, and of... | |
 | Euclid - 1789 - 296 Seiten
...has to D ; then, inverfely, B will have to A the fame ratio that D has to C. For, of B and D take any equimultiples whatever E and F ; and of A and c any equimultiples whatever c and H : Then, fince A is to B as c is to D (by Hyp.), and G, H are equimultiples of A, c, and E,... | |
 | John Bonnycastle - 1803 - 306 Seiten
...to D ; then, inverfely, B will -have to A the fame ratio that D has to C. For, of B arid D take any equimultiples whatever E and F ; and of A and c any equimultiples whatever G and H : Then, fince A is to B as c is to D (by Hyp-), and G, H are equimultiples of A, C, and E, F of B,... | |
 | Robert Simson - 1804 - 530 Seiten
...the magnitude A be to B, as C is to D, then alfo iaverfely B is to A, as D to C. Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples whatever G and H. Firft, Let E be greater than G, then G is lefs than E ; and becaufe A is to B, as C is to D, and of... | |
 | Robert Simson - 1806 - 546 Seiten
...the magnitude A be to B as C is to D, then also inversely B is to A as D to C. Take of fl and D any equimultiples whatever E and F; and of A and C any...less than E; and, because A is to B as C is to D, and of A and C, the first and third, G and H are equimultiples ; and of B and D, the second and fourth,... | |
 | Euclid - 1810 - 554 Seiten
...the magnitude A be to B, as C is to D, then also inversely B is to A, as D to C. Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples whatever Garid H. First, Let E be greater than G, then G is less than E; nul, because A is to B, as C is to... | |
 | Euclides - 1814 - 560 Seiten
...G and H. First let E be greater than G, then G is less than E; and because A is to B, as C is to D, and of A and C, the first and third, G and H are equimultiples; and of B and D, the If the magnitude A be to B, as C is to D, then also inversely B is to A, as D to C. second and fourth,... | |
 | Euclides - 1816 - 588 Seiten
...magnitude A ,be to B, as C is to t), then also inversely B is to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any...less than E; and because A is to B, as C is to D, and of A and C, the first and third, G and H are equimultiples ; and of B and D, the second and fourth,... | |
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Take of B and D any equimultiples whatever E and F; and of A and C any equimultiples whatever G and H. First, let E be greater than G, then G is less than E: and because A is to B, as C is to D, (hyp.) and of A and C... 
