| Queensland. Department of Public Instruction - Education - 1897 - 456 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... | |
| 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 - 164 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... | |
| 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... | |
| Manitoba. Department of Education - Education - 1900 - 580 pages
...contained by BA, AE is equal to the rectangle contained by CA, AD. 4. Define a rectangle. Divide a **straight line into two parts so that the rectangle contained by the whole** line and one of the parts shall be equal to the square on the other part. Prove that, when a straight... | |
| University of Toronto - 1901 - 1192 pages
...parallelogram ADBE be completed so that E is on the side of AB remote from D, then CE is bisected by AB.\ 3. **To divide a given straight line into two parts, so that the rectangle contained by the whole** line and one of the |>art8 may be equal to the square on the other part. (II. 11.)If ABC be any triangle,... | |
| 1901 - 488 pages
...together with twice the square on the line drawn from the vertex to the middle point of the basj. 10. **Divide a given straight line into two parts so that the rectangle contained by** them may be equal to the square on a given straight line which is less than half the line to be divided.... | |
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