| Cambridge univ, exam. papers - 1856 - 252 pages
...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 the rectangle contained by...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 - 178 pages
...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
...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 by...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 - 118 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
...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 by...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 - 134 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 by...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.... | |
| Elias Loomis - Conic sections - 1858 - 256 pages
...such that ihe greater part may be a mean proportional between the whole line and the other part. Let **AB be the given straight line ; it is required to divide it into two parts** at the point F, such that AB : AF : : AF : FB. At the extremity of the line AB, erect the perpendicular... | |
| War office - 1858 - 578 pages
...twice as old as his nephew; what are their respective agesl Euclid. 1. Divide a given straight line **into two parts, so that the rectangle contained by the whole and one** part, shall be equal to the square of the other part. 2. Upon a given straight line describe the segment... | |
| Education - 1859 - 412 pages
...between the points of section, is equal to the square of half the line. 10. Divide a straight line **into two parts, so that the rectangle contained by...parts shall be equal to the square of the other part.** JULIUS CAESAR. 1. Write a short account of the author of the play Julius Ceesar. 2. What ancient writer... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...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 by...and one of the 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.... | |
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