| Edward Augustus Kendall - 1811
...the 1st proposition of lunik 10, which is, that if from the greater of. t\vo. 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 those proposed. On this foundation... | |
| John Mason Good - 1813
...necessary to some of the propositions of this book. 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. Prop. I. Theor. Similar polygons inscribed in circles, are to... | |
| Euclides - 1814
...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...its half, and from the remainder more than its half,** aod so on; there shall at length remain * magnitude less than C. A For C may be multiplied so as at... | |
| 1816
...flumes in the proof of prop. i. book x. which imports, that if, from the grc.Uer of two quantities, **be taken more than its half, and from the remainder more than its half, and** fo continually, there will, at length, remain a quantity Icfs than either of thole propofed. On th;s... | |
| Euclides - 1816 - 528 sider
...magnitude less than the least of the proposed magnitudes. Let AB «nd C be two unequal magnitudes, **of which AB is the greater. If from AB there be taken more than** it* half, and from the remainder more than its ..,* ^ half, and so on ; there shall at length remain... | |
| John Playfair - 1819 - 333 sider
...magnitudes, of which AB is the greater. If from AB there be taken away its half, and from the remainder **its half, and so on ; there shall at length remain...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,... | |
| John Playfair - 1819 - 317 sider
...magnitude less than the least of the proposed magnitudes. A H Let AB and C be two unequal magnitudes, **of which AB is the greater. If from AB there be taken** away its half, and from the remainder its half, and so on ; there shall at length remain a magnitude... | |
| Euclid, Robert Simson - 1821 - 516 sider
...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 than** D its half, and from the remainder more than its half, A and so on; there shall at length remain a... | |
| 1823
...the proof of Prob. I. book x. which imports, 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 those proposed. On this foundation... | |
| Peter Nicholson - 1825 - 372 sider
...magnitude Itss than the least of the proposed magnitudes. Let AB and С be two unequal magnitudes, **of which AB is the greater. If from AB there be taken more than its half, and from** v the remainder more than its half, and so on; jj. there shall at length remain a magnitude less "•... | |
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