 | Peter Nicholson - 1825 - 1046 pagina’s
...also inversely В as D to C. Take of В and D any equimultiples whatever E and F ; and of A and С any equimultiples whatever G and H. First, let E be...G, then G is less than E ; and because A is to B, II "ï В, as С is to A, li M as С is to D, and of A and C, the first arid third, G and H are equimultiples... | |
 | Robert Simson - 1827 - 546 pagina’s
...inversely. Let A be to B, as C is to D : then also inversely B shall be to A, as D to C. Take of B and D any equimultiples whatever E and F ; and of A and C any...greater than G, then G is less than E : and because f A is to B as C is to D, and of A and C the first and third, G and H arc equimultiples; and of B and... | |
 | Euclid, Dionysius Lardner - 1828 - 542 pagina’s
...when taken inversely. Let A : B = C : D ; then also, inversely, B : A = D : C. Take of B and D any equimultiples whatever E and F ; and of A and C any...greater than G, then G is less than E : and because (hyp.) A is to B as C is to D, and of A and C, the first and third, G and H are equimultiples ; and... | |
 | Euclides - 1834 - 518 pagina’s
...Let A be to B, as C is to D : then also inversely B shall bo to A, as D to C. Take of B and D, any equimultiples whatever E and F ; and of A and C, any...let E be greater than G, then G is less than E: and f 1 1 . |- because t A is to B as C is to D, and of A and C the first and third, G and H are equimultiples... | |
 | Euclid - 1835 - 540 pagina’s
...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...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, James Thomson - 1837 - 410 pagina’s
...A and C any like multiples G and H. First, let E be greater than G ; and, because A : B : : C : D, and of A and C, the first and third, G and H are like multiples ; and of B and D, the second and fourth, E and F are like multiples; and that G is less... | |
 | Robert Simson - 1838 - 434 pagina’s
...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...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 second and fourth,... | |
 | Euclid - 1838 - 470 pagina’s
...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 G and H. First, let E be greater them 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,... | |
 | Euclides - 1841 - 378 pagina’s
...inversely. Let A be to B, as C is to D, then also inversely B shall be to A, as D to C. Take of B and D any equimultiples whatever E and F; and of A and C any...First, let E be greater than G, then G is less than C, the first and third, G and H are equimultiples; and of B and D, the second and fourth, E and F are... | |
 | Euclides - 1845 - 546 pagina’s
...to B, as C is to D. Then also inversely, B shall be to A, as D to C. GA H c DF 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, (hyp.) and of A and C, the first and third, G and /-/ are equimultiples ; and of B and D, the second... | |
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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... 
