| Archibald Montgomerie - 1857 - 118 sider
...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.) Find a fraction which is... | |
| Henry Latham - 1857 - 390 sider
...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 that the rectangle contained by the whole and one of the parts** shall be equal to the square of the other part. Give the full construction. 4. Define a decimal fraction.... | |
| Euclides - 1858 - 248 sider
...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 by the whole 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.... | |
| Euclides - 1858 - 134 sider
...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 the whole 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.... | |
| War office - 1858 - 578 sider
...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.... | |
| Sandhurst roy. military coll - 1859 - 672 sider
...extremities of 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 by the whole 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... | |
| 1859 - 412 sider
...the square of the line 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 the whole and one of the parts** shall be equal to the square of the other part. JULIUS CAESAR. 1. Write a short account of the author... | |
| Philip Kelland - 1860 - 308 sider
...together. Eequired their rates of running. 19. To divide a line 12 inches long 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 part. (Euclid, 2, 11). 20. To divide a given line (a) into two such parts that the square... | |
| Royal college of surgeons of England - 1860 - 336 sider
...other two sides of it, the angle contained by these two sides is a right angle. 4. To divide a given **straight line into two parts, so that the rectangle contained by the whole and one of the parts** shall be equal to the square on. the other part. 5. To describe a square that shall be equal to a given... | |
| War office - 1861 - 714 sider
...angles. Enunciate the propositions required in the proof. 3. To divide a straight line into two parte **so that the rectangle contained by the whole and one...parts may be equal to the square on the other part.** 4. If a straight line touch a circle and from the point of contact a straight line be drawn at right... | |
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