 | General Medical Council (Great Britain) - 1869 - 402 pages
...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 - 260 pages
...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 - 196 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 - 292 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 - 272 pages
...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 - 136 pages
...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 - 226 pages
...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 - 376 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 - 216 pages
...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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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. 
