| John Playfair - Euclid's Elements - 1835 - 316 pages
...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 - 513 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. • 11.2. Take any straight line AB, and divide1 it in the point C, so that the rectangle... | |
| John Playfair - Euclid's Elements - 1836 - 471 pages
...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 - Geometry - 1837 - 390 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...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 - Geometry - 1837 - 318 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...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 - Euclid's Elements - 1837 - 88 pages
...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 - Euclid's Elements - 1837 - 240 pages
...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... | |
| Euclid, Robert Simson - Geometry - 1838 - 416 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...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
...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 - 351 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... | |
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