 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 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 - 548 pages
...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 - 166 pages
...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 - 646 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... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 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 - 1190 pages
...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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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. 
