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
| Oxford univ, exam. papers, 1st publ. exam - 1879
...between the same parallels, are equal to one another. 9. 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. 10. In a circle the angle in a semicircle is a... | |
| 1879
...bisects them. What is the hypothesis in this proposition ? 4. 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. 5. Describe a square that shall be equal to a given... | |
| Geometry - 1879 - 36 pages
...line made up of the half and the part produced. 11. Show how to divide a given 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. • Same proposition. Show that the squares on... | |
| Sandhurst roy. military coll - 1880
...cent, compound interest in the same time. d 2 1. Show how to divide a 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. 2. If a straight line drawn through the centre... | |
| 1880
...*the rectangle contained by the two parts. (viii.) 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 on the other part. 5. If the distances of a point from two given straight... | |
| Samuel H. Winter - 1880
...radius of 1£ in., touching the two smaller ones. 4. Divide a straight line 3-3 in. long 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. 5. Find both a mean1 and a third proportional... | |
| Isaac Todhunter - Euclid's Elements - 1880 - 400 pages
...if a straight line &c. QED PROPOSITION 11. PROBLEM. 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 on the other part. Let AB be the given straight line : it is required... | |
| 1880
...bisects them. What is the hypothesis in this proposition ? 4. 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. 5. Describe a square that shall be equal to a given... | |
| Euclid - 1880 - 119 pages
...= double the squares on BC and CD. FS PROP. XI. PROBLEM. To divide a 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 a straight line. It is required to... | |
| French Ensor Chadwick - Merchant marine - 1880 - 207 pages
...same parts are also themselves equal and parallel. 2. 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 on the other part. 3. The opposite angles of any quadrilateral figure... | |
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