| G. Ainsworth - 1854 - 216 pages
...— - = -- (-4, and solving, x=lo. 3. Divide the number 20 into two such parts, that the product of **the whole and one of the parts may be equal to the square of the other** part. Let 2ж=; the difference of the two parts. Now, 20 being the sum, 10 + ж= the greater part,... | |
| Robert Potts - 1855 - 1050 pages
...angles of a triangle be equal, the sides opposite to them are also equal. 3. Divide a straight line **into two parts, so that the rectangle under the whole, and one** part, may be equal to the square of the other part. If the diagonals of a quadrilateral be equal and... | |
| Archibald Montgomerie - Algebra - 1857 - 116 pages
...each. Ans. 100 at 30s. (25.) Divide a given line a, into two such parts that the rectangle contained by **the whole and one of the parts may be equal to the square of the other.** , 3+ ^'5 , 3— 4/5 Ans. a — ^— , and a — ~— . (26.) Find a fraction which is greater than... | |
| Philip Kelland - 1860 - 308 pages
...of running. 19. To divide a line 12 inches long into two such parts that the rectangle contained by **the whole and one of the parts may be equal to the square of the other** part. (Euclid, 2, 11). 20. To divide a given line (a) into two such parts that the square described... | |
| Royal college of surgeons of England - 1860 - 332 pages
...8. Divide a given straight line into two parts, such that the rectangle contained by the whole line **and one of the parts may be equal to the square of the other** part. PRELIMINARY GENERAL EXAMINATION. Christmas, 1864. WEDNESDAY, December 21sf.— Afternoon, 3 to... | |
| War office - 1861 - 714 pages
...required in the proof. 3. To divide a straight line into two parte so that the rectangle contained by **the whole and one of the parts may be equal to the square** on the other part. 4. If a straight line touch a circle and from the point of contact a straight line... | |
| Alfred Wrigley - Mathematics - 1862 - 330 pages
...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 divided. 72. To draw a straight line, which shall touch... | |
| University of Oxford - Education, Higher - 1863 - 316 pages
...a greater angle. 8. 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. 9. Parallelograms on the same base and between the same parallels are equal to one... | |
| Euclides - 1865 - 402 pages
...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. To describe a square that shall be equal... | |
| Euclid, Isaac Todhunter - Euclid's Elements - 1867 - 426 pages
...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 line : it is required to divide it into two parts,... | |
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