 | Euclides - 1834 - 518 páginas
...the other three, and be described about the square ABCD. Which was to be done. PROPOSITION X. PBOR. —To describe an isosceles triangle, having each...third angle. Take any straight line AB, and divide * it in the point C, so that the rectangle AB, BC may be equal to the square of CA; and from the centre... | |
 | Robert Simson - 1835 - 544 páginas
...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... | |
 | Euclid - 1835 - 540 páginas
...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... | |
 | Euclid, James Thomson - 1837 - 410 páginas
...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... | |
 | Euclides - 1837 - 112 páginas
...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 - 290 páginas
...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 - 434 páginas
...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...(11. 2.) it in the point C, so that the rectangle AB, BC be equal to the square of CA ; and from the centre A, at the distance AB, describe the circle... | |
 | Euclides - 1838 - 264 páginas
...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 - 378 páginas
...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 páginas
...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... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
