 | John Playfair, Euclid - 1804 - 468 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 - 546 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 - 752 páginas
...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 - 700 páginas
...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 - 554 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 - 962 páginas
...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 - 474 páginas
...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 - 714 páginas
...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 - 560 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 move than its half, and so on, there shall at length remain a magnitude less than the least of the... | |
 | Euclides - 1816 - 588 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... | |
| |
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 shall at length remain a magnitude less than the least of the proposed magnitudes. 
