 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.  Euclid - Page 138by Euclid, Rupert Deakin - 1903 - 164 pagesFull view - About this book
 | Charles Alfred Jones - 1865 - 196 pages
...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.... | |
 | Euclides - 1865 - 402 pages
...acute 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.... | |
 | 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 only for... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 424 pages
...shew that the square on BC is equal to the rectangle AB, BF, together with the rectangle AC, CE. 161. Divide a given straight line into two parts so that the rectangle contained by them may be equal to the square described on a given straight line which is less than half the straight... | |
 | Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...shew that the square on BC is equal to the rectangle AB, BF, together with the rectangle AC, CE. 161. Divide a given straight line into two parts so that the rectangle contained by them may bo equal to the square described on a given straight line which is less than half the straight... | |
 | Charles Alfred Jones, Charles Hartwell Horne Cheyne - Algebra - 1867 - 176 pages
...geometric series of which the sum is 2 j1^ and the second term — - ? 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.... | |
 | Robert Potts - 1868 - 434 pages
...onAD,DG are double of the squares on AC, CD ; but DG is equal to DB; BOOK II. PROP. XI. PROPOSITION XI. 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, Let AB be the given straight... | |
 | Washington Hudson - 1868 - 80 pages
...other in the required ratio, which is represented by the squares с b г/and ach i. Fi«. 104. То divide a given straight line into two parts, so that the rectangle contained by the whole line and lesser part, shall be equal to the square on the other. Let AB be the given line. On AB as a side,... | |
 | 1868 - 876 pages
...base shall be equtil 15 2. The greater side of every triangle is opposite to the greater angle 10 3. 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 of the other part 25 4. In every triangle, the square... | |
 | Joseph Hughes - Education - 1883 - 568 pages
...squares on the two parts, together with twice the rectangle contained by the parts. Euclid II., 4. 3. 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. Euclid П., u. I. Prove that... | |
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