 | Royal college of surgeons of England - 1860 - 332 pages
...described upon the other two sides of it, 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 pages
...AD, DB are double of the squares on AC, CD. "Wherefore, if a straight line, &e. QED * 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... | |
 | War office - 1861 - 260 pages
...No. II. REV. WN GRIFFIN, MA 1. Any two 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,... | |
 | Robert Fowler - 1861 - 426 pages
...past „ time future, &c. &c. according to the explanations in p. 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,... | |
 | Alfred Wrigley - Mathematics - 1862 - 330 pages
...contained by the chord joining the points of 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... | |
 | Euclides - 1862 - 140 pages
...straight line into two parts, so that the rectangle contained by them may be the greatest possible. 2. Divide a given straight line into two parts, so that the rectangle contained by them may be equal to a given square. 3. Produce a given straight line, so that the rectangle contained... | |
 | Euclides - 1862 - 172 pages
...of AD, DB, are double of the squares of AC, CD. Wherefore, if a 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... | |
 | 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 that shall... | |
 | 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 from a... | |
 | 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 a proposition... | |
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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. 
