 | Robert Potts - 1868 - 434 pages
...onAD,DG are double of the 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... | |
 | 1868 - 876 pages
...base shall be equtil 15 2. The greater side of every triangle is opposite to the greater angle 10 3. 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 of the other part 25 4. In every triangle, the square... | |
 | Edinburgh univ - 1868 - 336 pages
...Equal triangles 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 contained by the whole, and one of the parts, may be equal to the square of the other part. 5. The angles in the same segment... | |
 | Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...equal to the 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... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...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... | |
 | Cambridge univ, exam. papers - 1870 - 272 pages
...by the 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... | |
 | Alexander Charles Ewald - Civil service - 1870 - 292 pages
...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... | |
 | Euclides - 1871 - 136 pages
...rectangle equal to a given square, and having one of its sides equal to a given straight line. Ex. 2. Divide a given straight line into two parts, so that the rectangle contained by them shall be equal to the square described upon a straight line, which is less than half the line... | |
 | Euclides, James Hamblin Smith - Geometry - 1872 - 376 pages
...rectangle equal to a given square, and having one of its sides equal to a given straight line. Ex. 2. Divide a given straight line into two parts, so that the rectangle contained by them shall be equal to the square described upon a straight line, which is less than half the line... | |
 | Henry Major - Student teachers - 1873 - 588 pages
...; bnt DG is equal to DB ; therefore the squares of AD, DB are twice the squares of AC, CD. XI. — 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 of the other part. It is required to divide AB into... | |
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AB 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. 
