 | Robert Simson - 1835 - Liczba stron: 513
...through the 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... | |
 | John Playfair - 1836 - Liczba stron: 311
...the other three, and be described about the square ABCD. Which was to be done. * Jg PROP. X. PROD. To describe an isosceles triangle, having each of the angles at the base double of 'the third angle. ni U I. a n. 2. Take any straight line AB, and divide • it in the point C, so that the rectangle... | |
 | Euclid, James Thomson - 1837 - Liczba stron: 390
...that centre, at the distance EA, describe the circle ABCD : it is (IV. A. cor.) the circle required. PROP. X. PROB. To describe an isosceles triangle,...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 - 1837 - Liczba stron: 88
...the extremities of the other three, and be described about the given square. PROPOSITION X. Problem*. To describe an isosceles triangle, having each of 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... | |
 | Andrew Bell - 1837 - Liczba stron: 240
...the extremities of the other three, and be described about the square ABCD. PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of 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 - 1838
...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 - 1841 - Liczba stron: 351
...through the 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,...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
...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 - 1842 - Liczba stron: 317
...them, must pass through, the extremities of the other three, and be described about the square ABCD. PROP. X. PROB. To describe an isosceles triangle,...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
...shall pass through the extremities of the three others, and be described about the square ABCD. QEF PROP. X. PROB. To describe an isosceles triangle,...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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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. 
