| University of Oxford - 1863
...lines make the alternate angles equal to one another, the two straight lines shall be parallel. 7. **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. 8. Describe a square... | |
| Euclides - 1864
...given straight line, and let M be the side of the given square. It is required to divide the line AB **into two parts, so that the rectangle contained by them may be equal to the square** on M. DE Bisect AB in C, with center C, and radius CA or CB, describe the semicircle ADB. At the point... | |
| Henry White - 1864
...equal to the 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... | |
| Woolwich roy. military acad - 1864
...-0378642. (2) To 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... | |
| Euclides - 1864
...double of the squares on AC, CD. Wherefore, if a straight line, &c. QED PROPOSITION XI. PROBLEM. To **divide a given straight line into two parts, so that the rectangle** cnntnined by the whole and one of the parts, shall be equal to the square oii the other part. Let AB... | |
| Euclides - 1865
...angle and the perpendicular let fall upon it from the opposite angle s. . . n. 13. Problems. 1. To **divide a given straight line into two parts, so that the rectangle** under the whole and one of the parts is equal to the square on the other part . . . . . . n. 11. 2.... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...double of the 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... | |
| Euclid, Isaac Todhunter - 1867 - 400 páginas
...double of the 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 contained by** the whole and one of the parts may be equal to the square on the other part. Let AB be the given straight... | |
| 1867
...angle contained by those two sides is a right angle. 9. Define rectangle ; gnomon. '••/£: , 10. **Divide a given 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, jj yi . 1 1. Give construction... | |
| Edinburgh univ - 1868
...Equal triangles upon the same base, and upon the same side of it, are between the same parallels. 4. 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. 5. The angles in the... | |
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