| Henry Martyn Taylor - Euclid's Elements - 1895 - 706 pages
...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
...20, without producing a side of the triangle. 7 6. If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts** is equal to the square on that part together with the rectangle contained by the two parts. 8 7. If... | |
| Northwest Territories Council of Public Instruction - 1897 - 628 pages
...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 the 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... | |
| University of Sydney - 1898
...drawn through a given point in one side of it. 3. If a straight line be divided into any two parts, **the rectangle contained by the whole line and one of the parts** is equal to the rectangle contained by the two parts together with the square on the aforesaid part.... | |
| Manitoba. Department of Education - Education - 1900 - 558 pages
...rectangle 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 line is divided as in this... | |
| 1900
...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 part. 7. Prove that if... | |
| University of Sydney - 1900 - 644 pages
...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... | |
| Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...=2AQ . QB + 4 PB2 n. 4, Cor. 2. =2(PQ2-PB2) + 4PBa n. 6. PROPOSITION 11. PROBLEM. 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. K Let AB be the given straight line. It... | |
| University of Toronto - 1901
...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, D the middle... | |
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