| 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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