| General Medical Council (Great Britain) - 1869
...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... | |
| James Maurice Wilson - 1869
...obtain by addition that AB* + BC* = 2AD* + 2DB*. Ex. 3. To divide a straight line into two parts such **that the rectangle contained by the whole line and one of the parts** is equal to the square of the other part. Let AB be the given line. Construction. Draw a square ACDB... | |
| Robert Johnston (F.R.G.S.) - Civil service - 1869 - 178 pages
...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... | |
| Alexander Charles Ewald - Civil service - 1870 - 268 pages
...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 rectangle contained by the whole** and one of the parts may be equal to the square of the other part. 3. Prove that equiangular parallelograms... | |
| Cambridge univ, exam. papers - 1870
...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 contained by the whole** and one of the parts may be equal to the square on the other part. Produce a given straight line, so... | |
| Euclides - 1871
...together with twice sq. on EF = twice sq. on AC together with twice sq. on CD. QED; 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. x) Let AB be the given st. line.... | |
| André Darré - 1872
...they have an equal angle each, and the sides about the equal angles are respectively proportional. **11. To divide a straight line into two parts so that the rectangle** which they contain shall be equivalent to a given rectangle. 12. The area of the parallelogram formed... | |
| Euclides, James Hamblin Smith - Geometry - 1872 - 349 pages
...EF = twice sq. on AC together with twice sq. on CD. QED PROPOSITION XI. PROBLEM. To divide a given **straight line into two parts, so that the rectangle contained by the** irhcle and one of the parts shall 6« equal to the square on the other part. xt jc a Let AB be the... | |
| Euclid, Charles Peter MASON - Geometry - 1872
...whole line BC and each of its parts. PBOPOSITION III. If a right 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. The propositions... | |
| 1880 - 160 pages
...two parts, together with twice' *the rectangle contained by the two parts. (viii.) To 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. 5. If the distances of a point from... | |
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