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
| Elizabethan club - 1880
...squares on OA and AB is equal to the rectangle OB . OC. 6. 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. 7. If a straight line touch a circle, and from... | |
| Surveying
...section, is equal to the square of half the line. 8. 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. 9. If in a circle two straight lines cut one... | |
| 1881 - 1880 pages
...with twice the rectangle contained by the parts. 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. ALGEBRA. 1. A man invests half his property at... | |
| Royal Institution of Chartered Surveyors - Agriculture - 1881
...section, is equal to the square of half the line. 8. 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. 9. If in a circle two straight lines cut one... | |
| 1873
...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... | |
| Education - 1882
...contained by the parts. FAG -QEF THE PRACTICAL TEACHER. 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. 3. If the diagonals of a quadrilateral are at... | |
| ...sides of the triangle, but shall contain a greater angle. 4. 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 of the other part. 5. To describe a square that shall be equal... | |
| Marianne Nops - 1882
...straight line &c. — QED 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 may be equal to the square on the other part. Let AT? be the given straight line — It is required... | |
| Education, Higher - 1882
...parallels, the parallelogram is double of the triangle. 10. Divide a given straight line into two parts, **so that the rectangle contained by the whole and one of the** parts may equal the square on the other part. 11. If a straight line drawn through the centre of a... | |
| Mary W I. Shilleto
...square which shall be equal to three given squares. 2. 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. Produce a given straight line to a point such... | |
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