 | Euclid, Isaac Todhunter - 1867 - 426 sider
...PROPOSITION 11. PROBLEM. 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. Let AB be the given straight line : it is required to divide it into two parts,... | |
 | Euclid, Isaac Todhunter - 1867 - 424 sider
...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 sider
...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 - 1870 - 292 sider
...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 sider
...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 sider
...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.) - 1874 - 236 sider
...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... | |
 | Euclides - 1874 - 120 sider
...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... | |
 | Braithwaite Arnett - 1874 - 130 sider
...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,... | |
 | Francis Cuthbertson - 1874 - 400 sider
...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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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. 
