| Alexander Ingram - 1799 - 351 sider
...a magnitude lefs than the leall of the propofed magnitudes. Let AB and C be two unequal magnitudes, **of which AB is the greater. If from AB there be taken...half, and from the remainder more than its half, and** fo on ; there fhall at length remain a magnitude lefs than C. For C may be multiplied fo, as at length... | |
| John Bonnycastle - 1803 - 279 sider
...propofed magnitudes, K. • Let AB and C be any two magnitudes, of which AB is the greater ; then, **if from AB there be taken more than its half; and from the remainder more than its half ; and** fo on : there will at length remain a magnitude lefs than C. For fince AB and C are each finite magnitudes,... | |
| John Bonnycastle - 1803 - 279 sider
...magnitudes, Let AB and C be any two magnitudes, of which AB is the greater; then, if from AB there betaken **more than./ its half ; and from the remainder more than its half ; and** fo on : there will at length remain a magnitude lefs than C. For fince AB and c are each finite magnitudes,... | |
| Robert Simson - 1804
...a magnitude lefs than the leaft of the propofed magnitudes. Let AB and C be two unequal magnitudes, **of which AB is the greater. if from AB there be taken more** T^ than its half, and from the remainder more A •*.•' than its half, and fo on ; there fhall at... | |
| Robert Simson - 1806 - 518 sider
...^*v*-^ to some of the propositions of this book. SseN. IF from the greater of two unequal magnitudes **there be taken more than its half, and from the remainder...there shall at length remain a magnitude less than** the least of the proposed magnitudes. D Let AB and C be two unequal magnitudes, of which AB is the... | |
| John Playfair - 1806 - 311 sider
...its half be taken away, and from the remainder its half, D and so on, there will at length remain a **A magnitude less than C. For C may be multiplied so as, at length, to become greater than AB. Let** DE, therefore, be a multiple of C, which is greater than AB, and let it contain the parts DF, FG, GE... | |
| William Nicholson - 1809
...proof of the 1st proposition of book 10, which is, that if from the creator of two quantities, yon take **more than its half, and from the remainder more than its half, and so** continually, there will, at length, remain a quantity less than either of those proposed. On this foundation... | |
| William Nicholson - 1809
...proof of the 1st proposition of book 10, which is, mat if from the greater of two quantities, yon take **more than its half, and from the remainder more than its half, and so** continually, there wi&, at length, remain a quantity less than either of those proposed. On this foundation... | |
| Euclid - 1810 - 518 sider
...a magnitude less than the least of the proposed magnitudes. Let AB and C be two unequal magnitudes, **of which AB is the greater. If from AB there be taken more** rj than its half, and from the remainder more than its half, and so on ; there shall at length remain... | |
| Edward Augustus Kendall - 1811
...proof of the 1st proposition of book 10, which is, that if from the greater of two quantities, you take **more than its half, and from the remainder more than its half, and so** continually, there will at length remain a quantity less than either of thoca proposed. On this foundation... | |
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