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
| Free Church of Scotland. College Committee - Theological seminaries - 1882 - 113 pages
...diameter of any parallelogram are equal to one another. 4. 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. 5. Reduce to the simplest form — y - x 6. Find... | |
| 1882
...difference of the squares on the given straight lines. 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 on the other part. 6. Prove that a circle cannot be described about... | |
| Civil service commission - 1883
...stated as a corollary to that proposition. g. — (1) 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. (2) If А В be so divided in C, and D be the middle... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 400 pages
...of the squares on AC, CD. PROPOSITION 11. PROBLEM. To divide a given straight line into two partt, **so that the rectangle contained by the whole and one of the** parts may be equal to the square on the other part. Let AB be the given straight line : it is required... | |
| james maclehose and sons - 1883
...opposite are given. When is the problem impossible. 3. Show how 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 on the other part. If the length of the larger segment be 10 in.,... | |
| Joseph Hughes - Education - 1883
...rectangle contained by the parts. Euclid II., 4. 3. 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. Euclid П., u. I. Prove that (a+i + c) Algebra.... | |
| F. B. Stevens - Examinations - 1884 - 175 pages
...side of the secant line is equal to two right angles. 3. 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 on the other part. 4. To divide a given line into two parts, such... | |
| Cambridge univ, exam. papers - 1884
...are together equal to the square on the whole line. 5. 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. Prove that the rectangle contained by the two parts... | |
| Stewart W. and co - 1884
...of AD, DB are twice the squares of AC, CD. XI. — 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. It is required to divide AB into two parts, so... | |
| SHEPPARD & ST. JOHN - 1884
...right angles by the straight line joining their centres. 3. 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. 4. The angles in the same segment of a circle... | |
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