| 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...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
...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...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 William Dodd - 1859 - 188 pages
...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... | |
| James B. Dodd - Algebra - 1859 - 368 pages
...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... | |
| Royal college of surgeons of England - 1860 - 332 pages
...described upon the 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...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 rectilineal figure. 6. The... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...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 - 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... | |
| War office - 1861 - 260 pages
...No. II. REV. WN GRIFFIN, MA 1. Any two sides of a triangle are together greater than the third. 2. **To divide a given straight line into two parts so...and one of the parts shall be equal to the square** on the other part. If the given line be a foot long, compute the lengths of the parts to the nearest... | |
| Robert Fowler - 1861 - 426 pages
...7. 5. Divide a line а feet long 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. Let** x = the length of the greater part, in feet. . ' . a - x = „ less „ x2 = (a — 3¿) a . • .... | |
| Euclid - Geometry - 1890 - 442 pages
...each side, we get sq. on AX + sq. on BX = 2 (sq. on AM + sq. on MX). 95 Proposition 11. PROBLEM — **To divide a given straight line into two parts so that the rectangle contained by the whole and one** part may be equal to the square on the other part. Let AB be the given st. line. On AB describe the... | |
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