| Robert Fowler - 1861
...past „ time future, &c. &c. according to the explanations in p. 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. .... | |
| War office - 1861
...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 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,... | |
| Euclides - 1862 - 140 pages
...Conclusion. — Therefore, if a straight line, &c. QED PROPOSITION 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,... | |
| Alfred Wrigley - Mathematics - 1862 - 330 pages
...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 that the 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... | |
| University of Oxford - Education, Higher - 1863
...figure. 6. Parallelograms upon the same base and between the same parallels are equal to one another. 7. **Divide a 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. 8. The three interior angles of every triangle... | |
| Euclides - 1864 - 448 pages
...equal to the square oii the other part. Let AB be the given straight line. It is required to divide AB **into two parts, so that the rectangle contained by the whole line and one of the parts,** shall be equal to the square on the other part. c KD Upon AB describe the square A CSB; (i. 46.) bisect... | |
| Euclides - 1864 - 262 pages
...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 that the rectangle contained by the whole line and one of the parts,** shall be equal to the square on the other part. FG OKD Upon AB describe the square A CDB; (l. 46.)... | |
| Henry White - 1864
...squares of the two parts, together with twice the rectangle contained by the parts. 5. 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 of the other part. 6. Draw a straight line from a... | |
| Woolwich roy. military acad - 1864
...find the amount of ll. in 37 years at 4^ per cent, per annum compound interest. 11. 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. State the purpose of a proposition... | |
| Charles Alfred Jones - 1865
...geometric series of which the sum is 2f"j and the second term — -3 ' ¿ 7. IF a straight line be divided **into two parts so that the rectangle contained by the whole line and one** part is equal to six times the square of the other part; find the ratio of the parts. EXERCISE LXII.... | |
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