| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...shew that the square on BC is equal to the rectangle AB, BF, together with the rectangle AC, CE. 161. Divide a given straight line into two parts so that the rectangle contained by them may bo equal to the square described on a given straight line which is less than half the straight... | |
| 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...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... | |
| Edinburgh univ - 1868 - 334 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 of a... | |
| Washington Hudson - 1868 - 78 pages
...other in the 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... | |
| 1868 - 876 pages
...is equal to the 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... | |
| 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 given point,... | |
| 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 be... | |
| 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 that the... | |
| 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... | |
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