| James William Dodd - 1859
...Divide a line 20 inches in length into two such parts that the rectangle or product of the whole line **and one of the parts shall be equal to the square of** the other part. 116 QUADRATIC EQUATIONS OP ONE OR The Equations will then be x+y=20; ' 20x=y2. These... | |
| James B. Dodd - 1859 - 306 páginas
...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... | |
| Royal college of surgeons of England - 1860
...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 - 1860 - 361 páginas
...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 - 1860
...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
...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... | |
| War office - 1861 - 12 páginas
...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... | |
| Robert Fowler - 1861
...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... | |
| Alfred Wrigley - 1862 - 294 páginas
...contained by the chord joining the points of contact, and the diameter drawn from one of these points. 71. **To divide a given straight line into two parts, so...rectangle contained by the whole and one of the parts** may be equal to the square of a given line, which is less than the line to be divided. 72. To draw... | |
| Euclid - 1890 - 400 páginas
...AM, MX from 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...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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