| John Playfair - 1836 - 114 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. Upon AB describe (16. 2.) the square... | |
| Euclid, James Thomson - 1837 - 390 sider
...9.) HB2 + BD*, or AD2 + BD2= 5-a ' — 2CD2+2AC2.* 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 ;... | |
| Euclides - 1837 - 88 sider
...FG", and that these = 2 AC* + 2 CD!. H PROPOSITION XI. E ._ Problem. 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 c KT~i the other part. Steps of the Demonstration.... | |
| Euclides - 1838
...squares of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. PROS. 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:... | |
| Euclides - 1841 - 351 sider
...of AC, CD. Wherefore, if a straight line, &c. QED PROP. XI. PROB. 1 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;... | |
| John Playfair - 1842 - 317 sider
...proposition is evident from this algebraical equality. 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 ;... | |
| Euclides - 1842
...equivalent 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 equivalent to the square of the other part. Upon AB describe (46. 1.) the... | |
| 1844
...each of the parts are together equal to the square of the whole line. 7. 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. 8. If in a circle two straight lines... | |
| Great Britain. Council on Education - 1845
...whole and that part, together with the square of the other part. 62. 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. 63. Show that if — B he substracted... | |
| Euclides - 1845
...equal to the square of the other part. Let AB be the given straight line. It is required to divide AB **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. H KD Upon AB describe the square... | |
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