 | Edward Augustus Kendall - 1811 - 962 σελίδες
...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 - 714 σελίδες
...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 - 560 σελίδες
...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 - 778 σελίδες
...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 - 588 σελίδες
...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 - 350 σελίδες
...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 - 354 σελίδες
...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 - 514 σελίδες
...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 - 858 σελίδες
...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 - 1046 σελίδες
...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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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, and so on ; there shall at length remain a magnitude less than C. For C may be multiplied, so... 
