| Euclid - Geometry - 1765 - 464 pages
...R. fhofe ratios that are the fame to the fame ratio, are the fame between tbemf elves. fo is I For **let A be to B, as c is to D, and as** C is to D, E to F : I fay, as A is to B, fo is E to F. For take G, H, K equimultiples of A, c, E, and... | |
| Robert Simson - Trigonometry - 1775 - 520 pages
...Ax 5. R PRO P. XI. THEO R. ATIOS that are the fame to the fame ratio, are the fame to one another. **Let A be to B as C is to D ; and as** C to D, fo let E be to F ; A is to B, as E to F. Take of A, C, E, any equimultiples whatever G, H,... | |
| Robert Simson - Trigonometry - 1781 - 466 pages
...QED -. E R PRO P. XL THEO R. ATIOS that are the fame to the fame ratio, are the fame to one another. **Let A be to B, as C is to D} and as** C to D, fo let E be to F; A is to B, as E to F. Take of A, C, E any equimultiples whatever G, H, K... | |
| Euclid - 1781 - 550 pages
...Q^ED B R PROP. XI. T II EO R. AT1OS that are the fame to the fame ratio, are the fame to one another. **Let A be to B, as C is to D ; and as** C to D, fo let E be to ' F ; A is to B, as E to F. Take of A, C, E, any equimultiples whatever G, H,... | |
| Euclid - Euclid's Elements - 1789 - 296 pages
...the antecedents is to the fum of all the confequents. i 61 1 HiBi— < j)i ( F>Li 1 Mi • 1 NiLet **A be to B as c is to D, and as E** is to F ; then will A be to B, as A, c and E together, are to B, D and F together. For, of A, c and... | |
| Alexander Ingram - Trigonometry - 1799 - 351 pages
...&c. Q^ ED AC R PROP. XI. THEOR. ATIoS that are equal to the fame ratio, are equal to one another. M **Let A be to B, as C is to D, and as** C to D, fo let E be to F ; A is to B, as E to F. Take MA, MC, ME any equimultiples of A, C, E: and... | |
| John Bonnycastle - Euclid's Elements - 1803 - 470 pages
...will be to its confequent, as the fum of all the antecedent* is to the fum of all the confequents. **Let A be to B as c is to D, and as E** is to F ; then will A be to B, as A, C and E together, are to s, D and F to. gether. , For, of A, c... | |
| Robert Simson - Trigonometry - 1804
...D C E PROP. XL THEOR. RATIOS that are the fame to the fame ratio, are the fame to one another, *' " **Let A be to B, as C is to D; and as** C to D, fo let E be to Fj A is to B, as E to F. Take of A, C, E any equimultiples whatever G, H, K;... | |
| Euclides - 1816 - 528 pages
...&c. QED F PROP. XI. THEOR. RATIOS that are the same to the same ratio, are the same to one another. **Let A be to B as C is to D ; and as** C to D, so let E be to F ; A is to B, as E to F. Take of A, C, E, any equimultiples whatever G, H,... | |
| Robert Simson - Trigonometry - 1827 - 513 pages
...Def. 5. 1 4 PROP. XI. THEOR. Ratios that are the same to the same ratio, aj-e the same to one another. **Let A be to B as C is to D ; and as** C to D, so let E be to F : A shall be to B, as E to F. Take of A, C, E, any equimultiples whatever... | |
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