| 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... | |
| 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... | |
| Royal college of surgeons of England - 1860 - 336 pages
...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...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
...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 be the given straight line. It is required to divide AB into two parts, so... | |
| 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
...Any two sides of a triangle are together greater than the third. 2. To divide a given 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. 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 . •... | |
| War office - 1861 - 714 pages
...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 of the parts** may be equal to the square on the other part. 4. If a straight line touch a circle and from the point... | |
| Euclides - 1862 - 172 pages
...straight line, &c. QED PROP. XI.— PROBLEM. To divide a given straight line into two parts, so that tlie **rectangle contained by the whole and one of the parts shall be equal to the square of the other part.** (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line. It is required to... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1883 - 428 pages
...10. PROBLEM. To bisect a given finite straight line, that is to 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, [I. 1. and bisect the angle ACB by the straight... | |
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