 | Robert Potts - Geometry - 1876 - 446 pages
...parallelograms can circles be inscribed ? 15. Give the analysis and synthesis of the problem : to describe an isosceles triangle, having each of the angles at the base double of the third angle ? 16. Shew that in the figure Euc. iv. 10, there are two triangles possessing the required... | |
 | University of Madras - 1876 - 580 pages
...the square of the line which is drawn from A to touch the circle on BC as diameter. V. To describe an isosceles triangle having each of the angles at the base double of the third angle. VI. In any right angled triangle, any rectilineal figure described upon the side subtending... | |
 | James Hamblin Smith - Trigonometry - 1877 - 244 pages
...ralv,» for an <IMJ/€ qflff. Take the figure and construction used by Eucl. iv. 10 in describing an isosceles triangle having each of the angles at the base double of the third angle. Hence LBAD=\ot 2 rt. L' = \ of IS0^se°. 6 6 Bisect BAD by AE, which will bisect BD at... | |
 | Civil service - 1878 - 228 pages
...any two opposite sides of the square subtends a right angle at the centre of the circle. 7. Construct an isosceles triangle, having each of the angles at the base double of the third angle. If ABC be such a triangle, where A is the less angle, and if from A AD be drawn, so that... | |
 | University of Oxford - Greek language - 1879 - 414 pages
...part of it without the circle, shall be equal to the square on the line which touches it. 11. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 12. If four straight lines be proportionals, the rectangle contained by the extremes is... | |
 | Edward Harri Mathews - 1879 - 94 pages
...Inscribe a square in a given circle. Describe a square about a given rectangle. Section V. 1. Describe an isosceles triangle having each of the angles at the base double of the third angle. Show that the smaller of the two circles in the fieure of this proposition is equal to... | |
 | Isaac Sharpless - Geometry - 1879 - 282 pages
...the extremities of the radii draw lines touching the circle. Proposition 5. Problem.— To describe an isosceles triangle having each of the angles at the base double the third angle. Draw any circle BDE, and in it any radius AB; divide (V. 23) AB in C in extreme and... | |
 | Isaac Todhunter - Euclid's Elements - 1880 - 426 pages
...of the described segment; so that the given straight line must not exceed twice AE. 42. To describe an isosceles triangle having each of the angles at the base double of the third angle. This problem is solved in IV. 10 ; we may suppose the solution to have been discovered... | |
 | Woolwich roy. military acad, Walter Ferrier Austin - 1880 - 190 pages
...line in a given point. (4.) Of the middle points of all equal straight lines in a circle. 8. Describe an isosceles triangle, having each of the angles at the base double of the third angle. If the radius of a circle be cut in extreme and mean ratio, the greater segment will be... | |
 | William Frothingham Bradbury - Geometry - 1880 - 260 pages
...line. When is the Problem impossible ? 62. To trisect a right angle. 63. On a given base to construct an isosceles triangle having each of the angles at the base double the third angle. 61i To construct an isosceles triangle when there are given 1st. The base and opposite... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
