 | Robert Potts - 1865 - 528 pages
...Wherefore, if a 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
...described on the 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 shall be equal to a given... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...square on the other part. Let AB be the 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 «,, ,r ABDC; [I.46. bisect AC at E; [I. 10. join BE •... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...Wherefore, if a straight line &c. QED 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 lie equal to the square on the other part. Let AB be the given straight line : it is required to divide... | |
 | Edinburgh univ - 1868 - 336 pages
...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 circle are equal to one another. 6. If a straight... | |
 | Robert Potts - 1868 - 434 pages
...is equal to 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... | |
 | 1868 - 876 pages
...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 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 Johnston (F.R.G.S.) - Civil service - 1869 - 196 pages
...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, either... | |
 | General Medical Council (Great Britain) - 1869 - 402 pages
...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 equal to a given... | |
 | Alexander Charles Ewald - Civil service - 1870 - 292 pages
...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 have to one another the ratio compounded of... | |
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AB be the 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, shall be equal to the square of the other part. 
