| 1867 - 224 sider
...by those two sides is a right angle. 9. Define rectangle ; gnomon. '••/£: , 10. 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, jj yi . 1 1. Give construction only for describing... | |
| Edinburgh univ - 1868 - 336 sider
...upon the same base, and upon the same side of it, are between the same parallels. 4. To divide a given **straight line into two parts, so that the rectangle...whole, and one of the parts, may be equal to the square** of the other part. 5. The angles in the same segment of a circle are equal to one another. 6. If a... | |
| Robert Potts - 1868 - 434 sider
...squares on AC, CD ; but DG is equal to DB; BOOK II. PROP. XI. 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,** shall be equal to the square on the other part, Let AB be the given straight line. It is required to... | |
| 1868 - 886 sider
...square of the straight line which is made up of the half and the part produced 25 5. Divide a given **straight line into two parts, so that the rectangle contained by the whole** mid one of the pails shall be equal to the square of the other part 25 100 B. Latt of Pupils recommended... | |
| Washington Hudson - 1868 - 78 sider
...required ratio, which is represented by the squares с b г/and ach i. Fi«. 104. То divide a given **straight line into two parts, so that the rectangle contained by the whole** line and lesser part, shall be equal to the square on the other. Let AB be the given line. On AB as... | |
| General Medical Council (Great Britain) - 1869 - 402 sider
...opposite sides and angles of a parallelogram are equal to one another, and the diagonal bisects it. 5. 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. 6. To describe a square that shall be equal to a given... | |
| Robert Johnston (F.R.G.S.) - 1869 - 196 sider
...squares of the two parts, together with twice the rectangle contained by the parts. 5. 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. 6. Draw a straight line from a given point, either... | |
| Cambridge univ, exam. papers - 1870 - 272 sider
...straight lines BD, CD ; prove that the angle BDC is half the sum of the angles ABG, ACS. 2. Divide a given **straight line into two parts, so that the rectangle...parts may be equal to the square on the other part.** Produce a given straight line, so that the rectangle contained by the whole line thus produced, and... | |
| Alexander Charles Ewald - 1870 - 292 sider
...becoming bankrupt, pays 12s. 6d. in £1, what does the merchant gain or lose by the transaction ? 2. **Divide a straight line into two parts, so that the...whole and one of the parts may be equal to the square** of the other part. 3. Prove that equiangular parallelograms have to one another the ratio compounded... | |
| Euclides - 1885 - 340 sider
...together with lour times the square on the line joining the points of bisection. 6. Divide a given **line into two parts, so that the rectangle contained by the whole and one** segment may be equal to any multiple of the square on the other segment. 7. If P be any point in the... | |
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