... 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
| Euclides - 1834
...unequal magnitudes, there be taken SeeN. more than its half, and from the remainder more than its hay, **and so on ; there shall at length remain 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 more than... | |
| Euclid - 1835 - 513 sider
...and C be two unequal magnitudes, of which AB is the greater. If from AB there be taken more Sec N. **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 multiplied, and... | |
| 1836 - 472 sider
...unequal magnitudes there be taken away its half, and from the remainder its half: and so on ; there will **at length remain a magnitude less than the least of the proposed magnitudes.** II. Equilateral polygons, of the same number of sides, inscribed in circles, are similar, and are to... | |
| Euclid, James Thomson - 1837 - 390 sider
...triangular prisms, &c. BOOK XII. LEMMA I.* 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** will at length remain a magnitude less than the least of the proposed magnitudes. Let AB and C be two... | |
| Andrew Bell - 1837 - 240 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 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... | |
| John Playfair - 1837 - 318 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 a magnitude less than** C. ' For C may be multiplied so as, at length, to become greater than AB. Let DE, therefore, be a multiple... | |
| Euclid, Robert Simson - 1838 - 416 sider
...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.*** K H Let AB and C be two unequal magnitudes, of which AB is the greater. If from AB there be taken more... | |
| Euclid - 1838 - 416 sider
...which AB is the greater. If from AB there be taken more than its half, and from the remainder more D **than its half, and so on ; there shall at length remain a magnitude less than** C. For C may be multiplied, so at length to become greater than AB. Let it be so multiplied, and let... | |
| Euclides - 1841 - 351 sider
...manner are to be understood some things in some of the following Propositions. magnitudes there be taken **more than its half, and from the remainder more than its half, and so on, there** at length remains a magnitude less than the least of the proposed magnitudes. Let then the segments... | |
| James Wood - 1841 - 305 sider
...the dividend, more than its half is taken away, and so on ; but if from any quantity there be taken **more than its half, and from the remainder more than its half, and so on, there** will, at length, remain a quantity less than any that can be asigned (Eue. x. I.) [109. In practice... | |
| |