| Great Britain. Committee on Education - 1855 - 976 pagina’s
...other two sides of it, the angle contained by those two sides is a right angle. 3. Divide a straight line into two parts, so that the rectangle contained...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 are equal. 2. If from a... | |
| Euclides - 1855 - 270 pagina’s
...equal to the square oflhe other part. 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 tLe parts, shall be equal to the square of the other part. Upon AB describe (I. 46) the square СB.... | |
| Cambridge univ, exam. papers - 1856 - 252 pagina’s
...by the whole and that part, together with the square of the other part. 8. Divide a given straight line into two parts, so that the rectangle contained...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 circle bisect a straight line... | |
| Henry White - 1856 - 168 pagina’s
...of it are either two right angles, or are together equal to two right angles. 18 Divide a straight line into two parts, so that the rectangle contained by the whole and ono of the parts shall be equal to the square of the other part. 19 If two circles cut each other,... | |
| Henry Latham - 1857 - 390 pagina’s
...pass through the same 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...and one of the parts shall be equal to the square of the other part. Give the full construction. 4. Define a decimal fraction. Prove the rule for pointing... | |
| Archibald Montgomerie - 1857 - 116 pagina’s
...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.)... | |
| Euclides - 1858 - 248 pagina’s
...exercises for the learner. " — LARDNEB'S Euclid, pp. 79 and 80. PROP. 11. — PROB. To divide a given line into two parts, so that the rectangle contained...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. 10. I. To bisect a given finite... | |
| Euclides - 1858 - 136 pagina’s
...ijivru. ihr .«'iíe». 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...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. I, Ax. 3. 1, Dei. 8U. 1. E».... | |
| War office - 1858 - 578 pagina’s
...line be bisected, what do the rectangles contained by the parts become ? 4. Divide a given straight line into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. NATURAL SCIENCES. By MAJOR-GEN.... | |
| Sandhurst roy. military coll - 1859 - 672 pagina’s
...equal and parallel straight lines toward the same parts are themselves equal. 3. To divide a straight line into two parts so that the rectangle contained...parts shall be equal to the square on the other part. 4. In a circle the angle in a semicircle is a right angle. Voluntary Portion. 2. To draw a straight... | |
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