| John Playfair - Geometry - 1855 - 334 pages
..., 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 - 270 pages
...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 pages
...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, so...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... | |
| Cambridge univ, exam. papers - 1856 - 252 pages
...contained by the whole and each of the parts, are together equal to the square of the whole line. 7. **Divide a given straight line into two parts, so that...parts, shall be equal to the square of the other part.** 8. If two circles cut one another, they shall not have the same centre. 9. If two circles touch each... | |
| Henry White - 1856 - 168 pages
...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 pages
...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 - 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.)... | |
| Euclides - 1858 - 248 pages
...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.... | |
| Euclides - 1858 - 136 pages
...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.... | |
| War office - 1858 - 578 pages
...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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