| War office - 1861 - 260 sider
...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, compute the lengths... | |
| Alfred Wrigley - 1862 - 330 sider
...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...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 a straight line, which shall... | |
| Euclides - 1862 - 140 sider
...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, 46, 47; II. 6.) Given.... | |
| University of Oxford - 1863 - 328 sider
...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 are... | |
| Henry White - 1864 - 156 sider
...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 given point, either... | |
| Woolwich roy. military acad - 1864 - 588 sider
...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 in the fourth book... | |
| Robert Potts - 1865 - 528 sider
...squares on AC, CD. Wherefore, if a straight liue, &c. QED PROPOSITION XI. PROBLEM. To divitfe 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 otlier part. Let AB be the given straight line. It is required... | |
| Euclides - 1865 - 402 sider
...and of the square of the line made up of the half and the part produced. Prop. 11. To divide a given **straight line into two parts, so that the rectangle contained by the whole** aud one of the parts shall be equal to the square of the other part. Prop. 12. In obtuse-angled triangles,... | |
| Euclid, Isaac Todhunter - 1867 - 426 sider
...squares on AC, CD. Wherefore, if a straight line &c. QED H PROPOSITION 11. PROBLEM. To divide a. given **straight line into two parts, so that the rectangle...parts may be equal to the square on the other part.** Let AB be the given straight line : it is required to divide it into two parts, so that the rectangle... | |
| Euclid, Isaac Todhunter - 1867 - 424 sider
...squares on AC, CD. Wherefore, 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 may** lie equal to the square on the other part. Let AB be the given straight line : it is required to divide... | |
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