| Euclides - 1865 - 402 pages
...46, 47 ; ii. 6.) Let AB be the given straight line. It is required to divide AB 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 CONSTRUCTION Upon AB describe the square ABDC ; (i.... | |
| Robert Potts - 1865 - 528 pages
...straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 otlier part. Let AB be the given straight line. It is required... | |
| 1867 - 224 pages
...sides which contain the right 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... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...straight line &c. QED H 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... | |
| 1868 - 886 pages
...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 and one of the parts** shall be equal to the square of the other part 25 B. I ISTS OF PUPILS recommended by tfie Examiners... | |
| Robert Potts - 1868 - 434 pages
...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 line. It is required to... | |
| Edinburgh univ - 1868 - 334 pages
...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 circle are equal... | |
| General Medical Council (Great Britain) - 1869 - 402 pages
...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 equal to a given... | |
| Robert Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...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, either... | |
| Cambridge univ, exam. papers - 1870 - 272 pages
...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 rectangle... | |
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