 N ; and if equal, equal ; and if less, less : but if G be greater than L, it has been shown that L HC K E M F N H is greater than M ; and if equal, equal; and if less, less: therefore, if G be greater than L, K is greater than N ; and if equal, equal...  The First Six Books of the Elements of Euclid, with a Commentary and ... - Page 107by Euclid, Dionysius Lardner - 1828 - 324 pagesFull view - About this book
 | Herbert Spencer - Psychology - 1873 - 670 pages
...than M ; and if equal, equal ; and if less, less. Again, because C is to D as E to F, and H, K, are equimultiples of C, E ; and M, N, of D, F ; if H bo greater than M, K is greater than N, and if equal, equal ; and if less, less. But if G be greater... | |
 | Euclides - 1874 - 342 pages
...than M; and if equal, equal ; and if less, less (V. Def. 5). Again, because C is to D as E is to F, and H, K are taken equimultiples of C, E, and M, N of D, F; 2. If H lie greater than M, K is greater than N; and if equal, equal; and if less, less; but if G be... | |
 | Euclid - 1876 - 240 pages
...H is greater than M ; and if equal, equal ; if less, less (a). Again, because E is to F as C is to D, and H, K are taken equimultiples of C, E ; and...than M, K is greater than N ; and if equal, equal ; if less, less : but if G be greater than L, it has been shown that H is greater than M ; and if equal,... | |
 | Robert Potts - Geometry - 1876 - 446 pages
...than 3f; and if equal, equal ; and if less, less. (v. def. 5.) Again, because C is to D, as E is to F, and H, K are taken equimultiples of C, E; and M, N, of D, F; if JTbe greater than J/, JiT is greater than N; and if equal, equal ; and if less, less : but if G be... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...equimultiples of (7 and .E, and Jf and N are equimultiples of D and .F ; [Construction. therefore if // be greater than M, K is greater than N; and if equal, equal ; and if less, less. [V. Definition 5. But it has been shewn thai if G be greater than L, H is greater than M ; and if equal,... | |
 | Herbert Spencer - 1881 - 756 pages
...greater than L, H is greater than M ; and if equal, equal ; and if less, less. So, too, it is proved that if H be greater than M, K is greater than ~N ; and if equal, equal ; and if less, less. Whence it is inferred that if G be greater than L, K is greater than N ; and if equal, equal ; and... | |
 | Herbert Spencer - 1881 - 752 pages
...greater than L, H is greater than M ; and if equal, equal ; and if less, less. So, too, it is proved that if H be greater than M, K is greater than N ; and if equal, equal ; and if less, less. Whence it is inferred that if G be greater than L, K is greater than N ; and if equal, equal ; and... | |
 | Herbert Spencer - Psychology - 1882 - 722 pages
...L, H is greater than M ; and if equal, equal ; and if less, less. So, too, it is proved that if H bo greater than M, K is greater than N ; and if equal, equal ; and if less, less. Whence it is inferred that if G bo greater than L, K is greater than N; and if equal, equal; and if... | |
 | Herbert Spencer - Psychology - 1883 - 720 pages
...equal; and if loss, less. Again, because C is to D as E to F, and H, K, are equimultiples of C, E; ajid M, N. of D, F; .if H be greater than M, K is greater...equal, equal; and if less, less. But if G be greater thaw L, it has been shown that II is greater than M ; and if equal, equal ; and if less, less : therefore,... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...are equimultiples of C and E, and J/ and ^V are equimultiples of Z> and F ; [Construction. therefore if H be greater than M, K is greater than N; and if equal, equal ; and if less, less. [V. Definition 5. But it has been shewn that if G be greater than L, H is greater than M ; and if equal,... | |
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