 | Royal Military Academy, Woolwich - Mathematics - 1853 - 400 pages
...a straight line, etc. QED PROPOSITION XI. PROB. 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 of the other part. Upon AB describe (46. i.) the square ABDC ; bisect... | |
 | Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...the angle contained by those two sides is a right angle. 3. 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. Section 3. 1. The angles in the same segment of a circle... | |
 | Robert Potts - 1855 - 1050 pages
...Prove also that the two diameters bisect each other. 3. 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 Solve the same problem algebraically, and give the geometrical... | |
 | Euclides - 1855 - 270 pages
...equarea of A С and С D together. PROP. 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 oflhe other part. Let AB be the given straight line. It is required to... | |
 | Cambridge univ, exam. papers - 1856 - 252 pages
...part, together with the square of the other part. 8. 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. 9. If a straight line drawn through the centre of a... | |
 | Archibald Montgomerie - Algebra - 1857 - 116 pages
...of sheep, and the price of each. Ans. 100 at 30s. (25.) Divide a given line a, into two such parts that the rectangle contained by the whole and one of the parts may be equal to the square of the other. , 3+ ^'5 , 3— 4/5 Ans. a — ^— , and a — ~— . (26.)... | |
 | Henry Latham - 1857 - 390 pages
...point. 3. Shew by diagram that a (b + c} = ab + ac. 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 of the other part. Give the full construction. 4. Define a decimal fraction.... | |
 | Euclides - 1858 - 248 pages
...— LARDNEB'S Euclid, pp. 79 and 80. PROP. 11. — PROB. To divide a given 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. SOL. — 46. I. To describe a square on a given line.... | |
 | War office - 1858 - 578 pages
...side together equal to two right angles. VOLUNTARY PORTION. 1. Divide a given 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. 2. Describe a circle that shall pass through two given... | |
 | Euclides - 1858 - 136 pages
...o;' the reetnnt/lii e,m be found. BOOK II. 105 PRоP. XI. PRоB. To divide a 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. SoL. 46. I, 10. I, 3. I. Pat i. 2. DEM. 6. II, 47.... | |
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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. 
