... magnitudes there be taken more than its half, and from the remainder more than its half, and so on, there shall at length remain a magnitude less than the least of the proposed magnitudes. The Element of Geometry - Side 87av John Playfair - 1836 - 114 siderUten tilgangsbegrensning - Om denne boken
| Robert Simson - 1804
...fpace S. becaufe, by the preceding Lemma, if from the greater of two unequal magnitudes there be taken **more than its half, and from the remainder more than its half, and** fo on, there fhall at length remain a magnitude lefs than the lead of the propofecl magnitudes. Let... | |
| Robert Simson - 1806 - 518 sider
...magnitudes. D Let AB and C be two unequal magnitudes, of which AB is the greater. If from AB there be taken **more than its half, and from the remainder more than...there shall at length remain a magnitude less than** C. For C may be multiplied so as at length to become greater than AB. Let it be so multiplied, and... | |
| 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
...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...there shall at length remain a magnitude less than** C. For C may be multiplied so, as at length to become greater than AB. Let it be so multi- **' plied,... | |
| 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... | |
| 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
...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 more than...magnitude less than the least of the proposed magnitudes.** Prop. I. Theor. Similar polygons inscribed in circles, are to one another as the squares of their diameter«.... | |
| Euclides - 1814
...magnitudes. Let AB and C be two unequal magnitudes, of which AB is the greater. If from AB there be taken **more than 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... | |
| Euclides - 1816 - 528 sider
...S : Because, by .the preceding Lemma, if from the greater of two unequal magnitudes there be taken **more than its half, and from the remainder more than its half, and so on, there** shiill at length remain a magnitude less than the least of the proposed magnitudes. Let then the segments... | |
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