 | Popular educator - 1854
...exception of the fifth. This last I studied in the usual way, but without the assistance of a master. To describe an isosceles triangle having each of the angles at the base double of the vertical angle, almost baffled me. 1, however, after three months of hard study, succeeded in solving... | |
 | William Somerville Orr - 1854
...all, mid is 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 radius... | |
 | Euclides - 1855
...of the 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 rectangle AB.BС may... | |
 | Great Britain. Committee on Education - 1855
...touches it. 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. (Three Hours allowed... | |
 | Robert Potts - 1855
...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 of... | |
 | 1855
...touches it. SECT. IV. — 1. About a circle to describe a triangle equiangular to a given triangle. 2. To describe an isosceles triangle, having each of the angles at the hase double of the third angle. 3. To inscribe an equilateral and equiangular pentagon in a given circle.... | |
 | Cambridge univ, exam. papers - 1856
...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 angles of equiangular... | |
 | 1857
...another, and r of another, = (p -\- 1) (q + 1) (r + 1) — 1. II. — Cuflfof anU Crtgononutrp. 1. DESCRIBE an isosceles triangle, having each of the angles at the base double of the third angle. 2. Shew that the base of the triangle is a side of the decagon inscribed in the large circle, and a... | |
 | War office - 1858 - Liczba stron: 12
...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 of a regular... | |
 | Euclides - 1858
...circle ABCD is about the given square. (9. IV.) PROB. 10. To describe an isosceles triangle Itaving each of the angles at the base double of the third angle. Take any line AB, and, by 11. II., divide it so that the rectangle A B-BC shall equal the square on... | |
| |
PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. 
