 | Archibald Montgomerie - 1857 - 116 pagine
...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 pagine
...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 - 136 pagine
...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 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 - 1858 - 256 pagine
...line into two parts, 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 pagine
...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... | |
 | 1859 - 414 pagine
...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 pagine
...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.... | |
 | James B. Dodd - 1859 - 368 pagine
...gentlemen ? Ans. 12. 21. Divide the number 20 into two such parts, that the product of the whole number and one of the parts shall be equal to the square of the other. Ans. 10/ 5— 10, and 30 — 10.V5. 22. A laborer dug two trenches, one of which was 6 yards longer... | |
 | James William Dodd - 1859 - 188 pagine
...whence z— 12. 21 . Divide the number 20 into two such parts, that the product of the whole number and one of the parts shall be equal to the square of the other. Let x represent the less number ; then 20 — x represents the greater. We shall then have the Equation... | |
 | Stewart W. and co - 1884 - 272 pagine
...straight line AF. X. — To bisect a given finite straight line, that is, divide it into two equal parts. Let AB be the given straight line; it is required to divide it into two equal parts. Describe on it an equilateral triangle ABC, and bisect the angle ACB by the straight line... | |
| |
AB be the given straight line ; it is required to divide it 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. 
