 | Education - 1859 - 414 pages
...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 of the play Julius Ceesar. 2. What ancient writer... | |
 | 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... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...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 angle. Voluntary Portion. 2.... | |
 | Royal college of surgeons of England - 1860 - 332 pages
...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 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... | |
 | 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 - 260 pages
...than the third. 2. 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. If the given line be a foot long, compute the lengths of the parts to the nearest... | |
 | Euclides - 1862 - 172 pages
...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... | |
 | Euclides - 1862 - 140 pages
...11.— PROBLEM. 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. (References— Prop. I. 3, 10, 46, 47; II. 6.) Given. — Let AB be the given straight... | |
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To divide a given straight line into two parts, so that the rectangle contained by the whole, and one of the parts, may be equal to the square of the other part. 
