| John Playfair - 1855 - 334 pagina’s
..., and the proposition is evident from this algebraical equality. PROP. XI. PROB. To divide a givrn 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. I Let AB be the given straight line; it is required to... | |
| Euclides - 1855 - 262 pagina’s
...the straight line which joins the points of the bisection of the diagonals. . PROP. D. PROBLEM. — To divide a given straight line into two parts so that the rectangle contained by its segments shall be equal to a given square, not greater than the square of half the given straight... | |
| Cambridge univ, exam. papers - 1856 - 200 pagina’s
...rectangles contained by the whole and each of the parts are together equal to the square of the whole line. 7. To divide a given straight line into two parts,...shall be equal to the square of the other part. 8. If a straight line drawn through the centre of a circle bisect a straight line in it, which does not... | |
| Cambridge univ, exam. papers - 1856 - 252 pagina’s
...the rectangle contained 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...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 in it which does... | |
| Henry White - 1856 - 178 pagina’s
...one side 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
...parallelograms thus formed shall 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...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 in the multiplication... | |
| Archibald Montgomerie - 1857 - 118 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 - 136 pagina’s
...ijivru. ihr .«'iķe». 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...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». i Dat. Quœs. CON.... | |
| 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...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 st. line. 3.... | |
| War office - 1858 - 578 pagina’s
...contained by the parts. If the 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.... | |
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