 | Great Britain. Committee on Education - 1855 - 976 ページ
...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... | |
 | Euclides - 1855 - 270 ページ
...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... | |
 | Robert Potts - 1855 - 1050 ページ
...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... | |
 | Cambridge univ, exam. papers - 1856 - 200 ページ
...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... | |
 | War office - 1858 - 578 ページ
...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 - 248 ページ
...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... | |
 | Thomas Stantial - 1859 - 352 ページ
...the 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 "multiple," and state... | |
 | Sandhurst roy. military coll - 1859 - 672 ページ
...rate of 2£ per cent, per annum ? 10. Extract the square root of 2540-16. Voluntary Portion. 1. To describe an isosceles triangle having each of the angles at the base double of the third angle. How many degrees will there be in the several angles of such a triangle 1 2. Triangles of the same... | |
 | John Fry Heather - 1859 - 198 ページ
...of making and recording observations, 151 ; use of the portable transit. 153. Triangle, isosceles, having each of the angles at the base double of the third angle, constructed, 40 ; right-angled, solved, 31. Troughton, his level, 104 ; his reflecting circle, 141.... | |
 | 1859 - 414 ページ
...without the circle shall be equal to the square of the line which touches it 10. Describe an i-osceles triangle having each of the angles at the base double of the vertical angle. EUCLID. 2d DIVISION. 1. Define a plane superficies, a circle, a rhomboid, a trapezium,... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
