 | Euclides - Euclid's Elements - 1837 - 112 pages
...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.... | |
 | Euclides - Geometry - 1841 - 378 pages
...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 pages
...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... | |
 | Euclides - 1842 - 316 pages
...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... | |
 | John Playfair - Euclid's Elements - 1842 - 332 pages
...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... | |
 | Church schools - 1844 - 456 pages
...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.... | |
 | Nathan Scholfield - 1845 - 894 pages
...the given square C. PROBLEM XVIII. Upon a given base AB to construct an isosceles triangle, liaving each of the angles at the base double the vertical angle. Produce AB till the rectangle AC.BC may be equivalent to the square of AB (Prob. IV.), then, with the base AB and sides each equal to AC, construct... | |
 | Euclid, James Thomson - Geometry - 1845 - 382 pages
...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... | |
 | Euclides - 1845 - 546 pages
...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 - Geometry - 1845 - 218 pages
...and be described about the square ABCD. Which was to be done. PROPOSITION 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 in the point « n. 2. C, so that the... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
