 | John Playfair - 1835 - Liczba stron: 336
...square of AH. A E 3 • v ••• PROP. X. PROB. To describe an isosceles triangle, having each of (he angles at the base double of the third angle. Take any straight line AB, and divide (9. 3.) it in the point C, so that the rectangle AB.BC may be equal to the square of AC ; and from... | |
 | Euclid - 1835 - Liczba stron: 540
...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. • 11.2. Take any straight line AB, and divide1 it in the point C, so that the rectangle... | |
 | John Playfair - 1836 - Liczba stron: 488
...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: 410
...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...third angle. Take any straight line AB, and divide it (II. .11.) in C, so that * In practice, the construction is effected most easily, both in this proposition... | |
 | John Playfair - 1837 - Liczba stron: 332
...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...third angle. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle AB.BC may be equal to the square of AC ; and from... | |
 | Euclides - 1837 - Liczba stron: 112
...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: 290
...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. PROPOSITION XI. PROBLEM. To inscribe an equilateral and equiangular pentagon in. a given circle. Let... | |
 | Robert Simson - 1838 - Liczba stron: 434
...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...third angle. Take any straight line AB, and divide (11. 2.) it in the point C, so that the rectangle AB, BC be equal to the square of CA ; and from the... | |
 | Euclides - 1838 - Liczba stron: 264
...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: 378
...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... | |
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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... 
