 | University of Oxford - Education, Higher - 1863 - 316 pages
...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 - 262 pages
...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... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...-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... | |
 | Henry White - 1864 - 156 pages
...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... | |
 | Euclides - 1864 - 448 pages
...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... | |
 | Robert Potts - 1865 - 528 pages
...of the 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... | |
 | Euclides - 1865 - 402 pages
...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 - Euclid's Elements - 1867 - 424 pages
...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 - Euclid's Elements - 1867 - 426 pages
...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 - 224 pages
...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... | |
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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. 
