| John Playfair - Euclid's Elements - 1842 - 332 pages
...inscribed. Otherwise. " Divide the radius of the given circle, so that the rectangle contained " by **the whole and one of the parts may be equal to the square of the other** " (11. 2.). . Apply in the circle, on each side of a given point, a line " equal to the greater of... | |
| Scotland free church, gen. assembly - 1847 - 554 pages
...right angle. 3. Divide a given line into two parts, so that the rectangle contained by the whole line **and one of the parts may be equal to the square of the other** part. 4. The angle in a semicircle is a right angle. 5. Of unequal chords in a circle the greater is... | |
| Euclides, James Thomson - Geometry - 1845 - 382 pages
...PROP. XI. PROB. — 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. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle... | |
| Alfred Wrigley - 1845 - 222 pages
...Cape, ii. 38.) 59. 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. (Euclid, iii. 1 6, 36. Cape, ii. 38 and iii.... | |
| Euclid, John Playfair - Euclid's Elements - 1846 - 334 pages
...PROP. XI. PROB. 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. Let AB be the given straight line ; it is required to divide it into two parts, so that the rectangle... | |
| John Playfair - Euclid's Elements - 1849 - 332 pages
...Otherwise. " Divide the radius of the given circle, so that the rectangle contained " by the whole and qpe **of the parts may be equal to the square of the other** "(11. 2.). Apply in the circle, on each side of a given point, a line ' equal to the greater of these... | |
| Her MAjesty' Inspectors of schools - 1850 - 912 pages
...Euc. II. 11. To divide a given finite straight line into two part*, so that the rectangle contained by **the whole and one of the parts may be equal to the square of the other** jjart. '2. Prove Kuc. 1. 36. Parallelograms upon equal bases, and between the same parallels, ore equal... | |
| Great Britain. Committee on Education - 1850 - 942 pages
...Euc. II. 11. To divide a given finite straight line into two parts, so that the rectangle contained by **the whole and one of the parts may be equal to the** squire of the other part. 4. Prove Euc. III. 22. The opposite angles of any quadrilateral figure inscribed... | |
| John Radford Young - 1851 - 266 pages
...is 41, and the sum of whose squares is 901. (7) Divide 20 into two parts, such that the product of **the whole and one of the parts may be equal to the square of the other** part. (8) A person bought a certain number of sheep for £60 ; and having reserved 15, sold the remainder... | |
| Euclid, John Playfair - Geometry - 1853 - 336 pages
...inscribed. Otherwise. " Divide the radius of the given circle, so that the rectangle contained " by **the whole and one of the parts may be equal to the square of the** othe* "(II. 2.). Apply in the circle, on each side of a given point, a. line •' equal to the greater... | |
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