| Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...a chord, one of whose segments shall be four times as long as the other. When is this possible? 4. **Divide a given straight line into two parts, so that the rectangle contained by the** parts may be equal to a given rectangle. 5. A, B, C are three points on a circle, D is the middle point... | |
| Queensland. Department of Public Instruction - Education - 1897 - 446 pages
...equal to the squares on the two parts, together with twice the rectangle contained by the parts. 5. **To divide a given straight line into two parts, so that the rectangle contained by the whole and one** part may be equal to the square on the other part. 6. In every triangle, the square on the side subtending... | |
| 1896 - 154 pages
...together double the sum of the squares on half the line, and on the line between the points of section. **Divide a given straight line into two parts, so that the rectangle contained by** them may be equal to the square described on a given straight line, which is less than half the straight... | |
| Northwest Territories Council of Public Instruction - 1897 - 628 pages
...rectangle contained by the two parts. II. 4. (6) Deduce II. 7. from propositions II. 4. and II. 3. 6. **Divide a given straight line into two parts, so that...rectangle contained by the whole and one of the parts** may be equal to the square on the other part. II. 11. 7. (a) Prove that if two circles touch one another... | |
| Rupert Deakin - 1897 - 344 pages
[ Sorry, this page's content is restricted ] | |
| Great Britain. Education Department. Department of Science and Art - Examinations - 1899 - 348 pages
...altogether. No student can he passed who fails to obtain marks in any one section. A. 21. Show how **to divide a given straight line into two parts, so that the rectangle contained by the whole and one** part may be equal to the square of the other part. Show how to describe a right-angled triangle such... | |
| University of Sydney - 1900 - 646 pages
...joined in order, a parallelogram will be formed whose area is half that of the given quadrilateral. 3. **Divide a given straight line into two parts so that the rectangle contained by the whole and one** part may be equal to the square on the other part. 4. In equal circles the arcs which subtend equal... | |
| 1900 - 166 pages
...- 1) shew that the series is a GP Sum to ten terms the series -i._,.— + , 2 2* 2* 2* 6. Shew how **to divide a given straight line into two parts so that the rectangle contained by the whole** line and one of the parts shall be equal (i.) to the square, (ii.) to double of the square on the other... | |
| Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...its parallel sides. PROBLEMS. 37. Construct a rectangle equal to the difference of two squares. 38. **Divide a given straight line into two parts so that the rectangle contained by** them may be equal to the square described on a given straight line which is less than half the straight... | |
| |