| 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 - 336 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 - 614 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... | |
| |