| Robert Simson - Trigonometry - 1835 - 544 pages
...extremities of the other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double the third angle. a 11.2. Take any straight line AB, and divide* it in the point C, so that the rectangle... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...through the extremities of the other three, and be described about the square ABCD. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having...the angles at the base double of the third angle. Take any straight line AB, and (II. 11) divide it in the point C, so that the rectangle AB • BC may... | |
| Euclides - Euclid's Elements - 1837 - 112 pages
...through the extremities of the other three, and be described about the given square. PROPOSITION X. Problem*. To describe an isosceles triangle, having...the angles at the base double of the third angle. * This is considered the most useful problem in Euclid. Steps of the Demonstration. 1. Prove that AB... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...through the extremities of the other three, and be described about the square ABCJD. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle AB.BC may be... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...the distance EA, describe the circle ABCD : it is (IV. A. cor.) the circle required. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it (II. .11.) in C, so that * In practice, the construction is... | |
| Euclides - 1838 - 264 pages
...of the angles BDA, DBA is double of the angle DAB. Wherefore an isosceles triangle ABD is described, having each of the angles at the base double of the third angle. Which was to be done. PROP. XI. PROB. To inscribe an equilateral and equiangular pentagon in a given... | |
| Euclides - Geometry - 1841 - 378 pages
...extremities of the other three, and be described about the square ABCD. Which was to be done. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. * 11. 2. Take any straight line AB, and divide* it in the point C, so that the rectangle contained... | |
| University of Cambridge - 1841 - 546 pages
...upon the une side of it are either two right angles, or are together equal to two right angles. 2. Describe an isosceles triangle, having each of the angles at the base double of the third angle. Shew that if the points of intersection of the circles, in Euclid's 6gure, be joined with the vertex... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...through, the extremities of the other three, and be described about the square ABCD. PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle AB.BC may be... | |
| Euclides - 1842 - 316 pages
...through the extremities of the three others, and be described about the square ABCD. QEF PROP. X. PROB. To describe an isosceles triangle, having each of the angles at the base double of the third angle. Take any straight line AB, and divide it (11. 2.) in the point c, so that the rectangle AB, вc be... | |
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