 | Euclides - 1837 - 112 Seiten
...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.... | |
 | Andrew Bell - 1837 - 290 Seiten
...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... | |
 | Euclid, James Thomson - 1837 - 410 Seiten
...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,... | |
 | Euclides - 1841 - 378 Seiten
...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... | |
 | University of Cambridge - 1841 - 546 Seiten
...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... | |
 | John Playfair - 1842 - 332 Seiten
...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... | |
 | Euclides - 1842 - 316 Seiten
...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... | |
 | 1844 - 456 Seiten
...segments proportional to the sides of the triangle. 4. On a given straight line as a base, describe an isosceles triangle having each of the angles at the base double of that at the vertex. — NB After giving the construction, sketeh briefly the outline of the proof.... | |
 | Euclides - 1845 - 546 Seiten
...the other three, and be described about the square ABCD. O..EF 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 divide it in the point C, (n. II.) so that the rectangle... | |
 | Euclid, James Thomson - 1845 - 382 Seiten
...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 the rectangle AB.BC... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
