| 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...and one of the 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... | |
| 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...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. 10. I. To bisect a given finite... | |
| 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...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. I, Ax. 3. 1, Dei. 8U. 1. E».... | |
| 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.... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...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...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. To draw a straight... | |
| Education - 1859 - 414 pages
...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...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 of the play Julius Ceesar.... | |
| Royal college of surgeons of England - 1860 - 332 pages
...the rectangle contained by the whole and that part, together with the square of the other part. 7. **To divide a given straight line into two parts, so...and one of the parts shall be equal to the square** of the other part. 8. Draw a line DE, parallel to the base BC of a triangle ABC, so that DE is equal... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...AD, DB are double of the squares on AC, CD. "Wherefore, if a straight line, &e. QED * PROPOSITION XI. **PROBLEM. To divide a given straight line into two parts, so that the rectangle** eontained by the whole and one of the parts, shall be equal to the square on the other part. Let AB... | |
| Philip Kelland - Algebra - 1860 - 308 pages
...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... | |
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