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. Introduction and books 1,2 - Page 402by Euclid, Sir Thomas Little Heath, Johan Ludvig Heiberg - 1908Full view - About this book
| War office - 1861
...of a triangle are together greater than the third. 2. 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. If the given line be a foot long, compute the... | |
| Euclides - 1862
...Given. — Let AB be the given straight line. Sought. — 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 on the other part. Construction. — 1. Upon AB describe the square... | |
| Alfred Wrigley - Mathematics - 1862 - 294 pages
...and the diameter drawn from one of these points. 71. 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 a given line, which is less than the line to be divided. 72. To... | |
| 1864
...together with twice the rectangle contained by the parts. 5. 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. 6. Draw a straight line from a given point, either... | |
| 1864
...years at 4^ per cent, per annum compound interest. 11. 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. State the purpose of a proposition in the fourth... | |
| Robert Potts - 1865 - 504 pages
...a straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 otlier part. Let AB be the given straight line. It is required... | |
| Alexander Kennedy Isbister - 1865
...10, 46, 47 ; ii. 6.) 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 CONSTRUCTION Upon AB describe the square ABDC... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 400 pages
...on 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 may be equal to the square on the other part. On AB describe the square «,, ,r ABDC; [I.46.... | |
| 1867
...the sides which contain the right angle. [Turn over. 8. 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 on the other part. 9. To a given straight line apply a parallelogram,... | |
| 1868 - 410 pages
...to DB; BOOK II. PROP. XI. PROPOSITION XI. 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 on the other part, Let AB be the given straight line. It is required... | |
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