 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
 | Robert Simson - Trigonometry - 1827 - 546 pages
...than M ; and if equal, equal; and if less, less*. Again, because C is * 5 Def. 5. to D, as E is to F, and H, K are taken equimultiples of C, E ; and M,...than M, K is greater than N; and if equal, equal; and GHK if less, less: but if G be A. CE greater than L, it has 3 D p been shewn that H is t. M y greater... | |
 | Euclid, Robert Simson - Geometry - 1829 - 548 pages
...than M ; and if equal, equal ; and if less, less (5. def. 5.). Again, because C is to D, as E to F, and H, K are taken equimultiples of C, E : and M,...greater than N ; and if equal, equal ; and if less, less : H KC EF M Nbut if G be greater than L, it has been shown that H is greater than M ; and if equal,... | |
 | Euclides - 1834 - 518 pages
...and if equal, equal ; and if less, less *. Again, because C is to D, as E is to F, and • 5 Def. 5. H, K are taken equimultiples of C, E, and M, N, of D, F ; if II be greater than M, K is greater than N ; and if equal, equal ; and if less, less : but if G be greater... | |
 | Euclid - 1835 - 540 pages
...equal, equal ; and if less, a 5. def. 5. [eaa .. Again, because C is to D, as E is to F, and H, K are equimultiples of C, E; and M, N, of D, F; if H be...than M, K is greater than N ; and if equal, equal ; AC BD M Nand if less, less : But if G be greater than L, it has been shown that H is also greater... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...equal, equal ; and if less, a 5. def. 5. iess*. Again, because C is to D, as E is to F, and H, K are equimultiples of C, E; and M, N, of D, F; if H be...than M, K is greater than N ; and if equal, equal : H- RC EBD M Nand if less, less : But if G be greater than L, it has been shown that H is also greater... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...taken LMN like multiples of C, E ; and M, N, of D, V ; if H be greater than M, K is greater than N ; if equal, equal ; and if less, less. But, if G be...than L, it has "been shown that H is greater than M; if equal, equal ; and if less, less : therefore if G be greater than L, K is greater than N ; if equal,... | |
 | Euclid - Geometry - 1838 - 470 pages
...than M ; and if equal, equal; and if less, less (5. def. 5.). Again, because C is to D, as E to F, and H, K are taken equimultiples of C, E: and M, N,...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... | |
 | Robert Simson - Geometry - 1838 - 434 pages
...K, M, and other three H, L, N, which, two and two, have the same ratio : if G be greater than M, H is greater than N; and if equal, equal ; and if less, less (20. 5.) ; and G, H are any equimultiples whatever of A, D, and M, N are any equimultiples whatever... | |
 | Euclides - Geometry - 1841 - 378 pages
...and if equal, equal; and if less, less.* Again, because * 5 "•'. C is to D, as E is to F, and that H, K are taken equimultiples of C, E ; and M, N, of D, F; therefore if H be greater than M, K is greater than N; and if equal, o equal; and if less, less; but... | |
 | Euclid - Geometry - 1845 - 218 pages
...M ; and if equal, equal ; and if • 5 Def. s. less, less*. Again, because C is to D, as E is to F, and H, K are taken equimultiples of C, E ; and M,...than M, K is greater than N ; and if equal, equal ; t 5 Def. 5. and if less, less f: But if G be greater than L, it has been shown that H is greater... | |
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