| William Walton, Charles Frederick Mackenzie - Education - 1854 - 266 pages
...quadrilateral circles be described meeting again in JJ; P, R, Q will be in one straight line. 4. Describe an isosceles triangle having each of the angles at the base double of the third angle. Upon a given straight line, as base, describe an isosceles triangle having the... | |
| William Somerville Orr - Science - 1854 - 534 pages
...л described about tic square ABCD. Which was to be done. PROPOSITION X.— PÍIOBLEM. To describe an isosceles triangle having each of the angles at the base double of tinthird angle. ' u "• Take any straight line AB, and divide it in B,so and with centre A and... | |
| Great Britain. Committee on Education - School buildings - 1855 - 976 pages
...Section 4. } . About a circle to describe a triangular equiangular to a given triangle. 2. To describe an isosceles triangle, having each of the angles at the base double of the third angle. 3. To inscribe an equilateral and equiangular pentagon in a given circle. MECHANICS.... | |
| Euclides - 1855 - 270 pages
...square аз radius, describe a circle, and it will be the circle required. PROP. 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 С (II. 11), so that the... | |
| Robert Potts - 1855 - 1050 pages
...parallelogram. Which of the regular polygons depend on this proposition for their construction ? 4. Describe an isosceles triangle having each of the angles at the base double of the angle of the vertex. 5. Triangles of the same altitude are as their bases. If D be the diameter... | |
| Cambridge univ, exam. papers - 1856 - 200 pages
...Candidates for Honors. 1. IN a given circle inscribe a triangle equiangular to a given triangle. 2. Describe an isosceles triangle having each of the angles at the base double of the third angle. What is the immediate object of this proposition ? 3. The sides about the equal... | |
| War office - 1858 - 578 pages
...a circle are equal to one another. VOLUNTARY PORTION. 1. Give Euclid's construction for describing an isosceles triangle having each of the angles at the base double of the angle at the vertex. Show that the base of the triangle thus described is equal to the side... | |
| Sandhurst roy. military coll - 1859 - 672 pages
...general term of the series arising from expanding it according to ascending powers of x. 7. Describe an isosceles triangle having each of the angles at the base double of the third angle. Shew that one of the triangles in Euclid's figure is a mean proportional between... | |
| Thomas Stantial - Examinations - 1859 - 352 pages
...relation which exists between the radius of a circle, and the side of its inscribed hexagon. D. Describe an isosceles triangle, having each of the angles at the base double of the third angle. 5. EUCLID, BOOKS V. & VI. 1. Define "ratio," and illustrate by arithmetic. Define... | |
| Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...cut the circle in C' and DE in P. Then as before the angle APD = ABC' = a right angle. iv. Describe an isosceles triangle having each of the angles at the base double of the third angle. If A be the vertex, and BD the base of the constructed triangle, D being one of... | |
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