| John Playfair - 1806 - 311 sider
...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 to the square of the other part, e 47. 1. Upon AB describe" the square... | |
| Robert Simson - 1806 - 518 sider
...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 to the square of the other part. a 46. 1. Upon AB describe a the square... | |
| Euclides - 1816 - 528 sider
...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 to thcsquare of the other part. Upon AB describe* the square ABDC... | |
| Daniel Cresswell - 1819 - 410 sider
...1 . It is manifest from this proposition, and from E. 1O. 4., that if the semi-diameter of a circle **be divided into two parts, so that the rectangle contained by the whole and the** lesser part may be equal to the square of the greater part, the greater segment shall be equal to the... | |
| John Playfair - 1819 - 333 sider
...+DB3=2AC3+2CD3. Wherefore, if a straight line, &c. Q, ED . . PROP. XI. PROB. To divide a given straight line **into two parts, so that the 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 ;... | |
| Miles Bland - 1819 - 377 sider
...equal to a given square, and their rectangle equal to a given rectangle. 9. To divide a straight line **into two parts, so that the rectangle contained by the whole and** one of the parts may be equal to the square of a given line, which is less than the line to be divided.... | |
| Peter Nicholson - 1825 - 372 sider
...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 to the square of the other part. Upon AB describe (46. I.) the square... | |
| Robert Simson - 1827 - 513 sider
...• 47. 1. t 3 Ax. t 30 Def. t lAx. t 3 Ax. t 30 Def. PROP. XL PROB. 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 of the other part. Let AB be the given straight line... | |
| Miles Bland - 1827 - 377 sider
...whole line produced and the part produced may be equal to a given square. 9. To divide a straight line **into two parts, so that the rectangle contained by the whole and** one of the parts may be equal to the square of a given line, which is less than the line to be divided.... | |
| Euclid - 1835 - 513 sider
...of AC, CD. Wherefore, " if a straight line," &c. QED PROP. XI. PROB. 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 of the other part. Let AB be the given straight line;... | |
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