 | 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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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. 
