 | Royal college of surgeons of England - 1860 - 332 pages
...the angle contained by these two sides is a right angle. 4. 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. 5. To describe a square that shall be equal to a given rectilineal figure. 6. The... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...PROPOSITION XI. PROBLEM. To divide a given straight line into two parts, so that the rectangle eontained by the whole and one of the parts, shall be equal to the square on the other part. Let AB be the given straight line. It is required to divide AB into two parts, so... | |
 | Philip Kelland - Algebra - 1860 - 308 pages
...together. Eequired their rates 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... | |
 | War office - 1861 - 260 pages
...sides of a triangle are together greater than the third. 2. 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. If the given line be a foot long, compute the lengths of the parts to the nearest... | |
 | Robert Fowler - 1861 - 426 pages
...7. 5. Divide a line а feet long into two parts, so that the rectangle contained by the whole line and one of the parts shall be equal to the square of the other part. Let x = the length of the greater part, in feet. . ' . a - x = „ less „ x2 = (a — 3¿) a . • .... | |
 | War office - 1861 - 714 pages
...angles. Enunciate the propositions 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... | |
 | Euclides - 1862 - 172 pages
...straight line, &c. QED PROP. XI.— PROBLEM. To divide a given straight line into two parts, so that tlie rectangle contained by the whole and one of the parts shall be equal to the square of the other part. (References— Prop. i. 3, 10, 46, 47 ; Ii. 6.) Let AB be the given straight line. It is required to... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...contact, and the diameter drawn from one of 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... | |
 | Euclides - 1862 - 140 pages
...difference taken from half the sum is equal to the less. 13. 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 a given square. BOOK III. DEFINITIONS. 1. Equal circles are those of which the diameters... | |
 | William Thomas Knight - 1881 - 98 pages
...J?(bc)+q2(ca) + r>(ab) + (bc) (ca) (a -¿) = o. 49. Divide unity into two parts such that the product of the whole and one of the parts shall be equal to the square of the other part. Give the answer to three places of decimals. 50. Given ab - \(a + b) (p + q) +pg = o, Show that if... | |
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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 of the other part. 
