| 1867 - 224 pages
...angle. [Turn over. 8. 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. 9. To a given straight line apply a parallelogram, which shall be equal to a given... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...given straight line : it is required to divide it into two parts, to that the rectangle contained by the whole and one of the parts may be equal to the square on the other part. On AB describe the square ABDC; [I. 46. bisect^ C at E; [I. 10. join BE ; produce... | |
| Edinburgh univ - 1868 - 334 pages
...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 circle are equal to one another. 6. If a straight line... | |
| Alexander Charles Ewald - Civil service - 1870 - 292 pages
...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 have to one another the ratio compounded of the ratios... | |
| Cambridge univ, exam. papers - 1870 - 272 pages
...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 rectangle contained by the whole line... | |
| Bombay city, univ - 1873 - 616 pages
...a Gnomon : — Divide a given straight line into two parts, so that the reo- 11 tangle contained by the whole and one of the parts may be equal to the square on the other part. 5. The sum of the squares on the sides of a triangle is 11 ual to twice the square... | |
| Euclid, James Bryce, David Munn (F.R.S.E.) - Geometry - 1874 - 236 pages
...II. 11). To divide a straight line into two parts, so that the rectangle contained by the whole line, and one of the parts, may be equal to the square of the other part. Let AB be a straight line, it is required to find a point C in it, so situated that the rectangle... | |
| Braithwaite Arnett - 1874 - 130 pages
...to one another. 3. 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. If on the larger of the two parts into which the given straight line is divided,... | |
| Euclides - 1874 - 120 pages
...given straight line : it is required to divide it 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. _ On AB describe the ^' square ABDC ; bisect AC in E; [I. 10.] join BE; produce... | |
| Francis Cuthbertson - Euclid's Elements - 1874 - 400 pages
...either of the other sides. 4. 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 rectangle contained by the other part and a given straight line. 5. Divide a straight line into two... | |
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