| Euclid, John Playfair - 1804 - 440 páginas
...IF from the greater of two unequal magnitudes there be taken away its half, and from the remainder **its half; and fo on : There will at length remain a magnitude lefs than the** lead of the propofed magnitudes. Let AB and C be two unequal magnitudes, of which AB is the greater.... | |
| Robert Simson - 1806 - 518 páginas
...necessary ^*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 more than its half, and** so on, there shall at length remain a magnitude less than the least of the proposed magnitudes. D Let... | |
| 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... | |
| 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... | |
| Euclid - 1810 - 518 páginas
...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 a magnitude less than C. For C may be multiplied so, as at length... | |
| 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... | |
| 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... | |
| John Mason Good - 1813
...hook, and is 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 more than its half; and** so on: there shall at length remain a magnitude less than the least of the proposed magnitudes. Prop.... | |
| Euclides - 1814
...circle EFGH, above the space 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** move than its half, and so on, there shall at length remain a magnitude less than the least of the... | |
| Euclides - 1816 - 528 páginas
...circle EFGH, above the space 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... | |
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