 | Robert Simson - 1806 - 546 páginas
...rectangle contained by the whole and one of the parts shall be equal to the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts shall be equal... | |
 | John Playfair - 1806 - 320 páginas
...rectangle contained by the whole and one of the parts may be equal to the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole and one of the parts shall be equal... | |
 | Euclides - 1816 - 588 páginas
...rectangle contained by the whole, and one of the parts, shall be equal to the square of the other part. Let AB be the given straight line; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal... | |
 | John Playfair - 1819 - 350 páginas
...rectangle contained by the -whole, and one of the parts, may be equal to the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal... | |
 | Daniel Cresswell - 1819 - 446 páginas
...DAH > the L HAG ; and so on. . PROP. XXXIII. 47. PROBLEM. To trisect av given finite straight line. Let AB be the given straight line: It is required to divide it into three equal parts. Upon AB describe (E. 1.1.) the equilateral A CAB ; bisect (E. 9. 1.) the... | |
 | Daniel Cresswell - 1825 - 616 páginas
...therefore (dividendo), : BC* :: AB : BD. PROP. VIII. 8. PROBLEM. To divide a given Jinite straight line into two parts, so that the rectangle, contained by the whole line, and the difference of those two parts, shall be in a given ratio to the square of the less of the two parts.... | |
 | Peter Nicholson - 1825 - 1046 páginas
...rectangle contained by the whole, and one of the parts, shall be equal 'o the square of the other part. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle contained by the whole, and one of the parts, shall be equal... | |
 | Robert Simson - 1827 - 546 páginas
...PROP. X. PROB. To bisect a given Jinite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. Describe* upon it an equilateral triangle ABC, and * 1. 1. bisect* the angle... | |
 | John Playfair - 1829 - 210 páginas
...PROPOSITION X. PROBLEM. To bisect a given finite straight line; that is, to divide it into two equal parts. Let AB be the given straight line; it is required to divide it into two equal parts. On AB describe an equilateral triangle ABC (1. 1.), and bisect the angle ACB... | |
 | Euclid - 1835 - 540 páginas
...PROP. X. PROB. To bisect a given finite straight line, that is, to divide it into two equal parts. Let AB be the given straight line ; it is required to divide it into two equal parts. al. 1. Describe a upon it an equilateral triangle ABC, and bisect b9. i. bthe... | |
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To divide a given straight line into two parts, so that the rectangle contained by the whole and one of the parts, shall be equal to the square on the other part. 
