 | 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 angles of equiangular... | |
 | 1857 - 486 pages
...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... | |
 | Euclides - 1858 - 248 pages
...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 CA ; from... | |
 | 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 of a regular... | |
 | Sandhurst roy. military coll - 1859 - 672 pages
...the 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... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...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... | |
 | John Fry Heather - Angles (Geometry) - 1859 - 198 pages
...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.... | |
 | Education - 1859 - 414 pages
...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,... | |
 | Euclides - 1860 - 288 pages
...extremities of the other three, and be described about the square ABCD (Def. 6). PROPOSmON X. PROBLEM. To describe an isosceles triangle, having each of the angles at the base double of the third angle. (Const.) Take any straight line AB, and (H 11) divide it in the point C, so that the rectangle AB •... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...equal to the rectangle AB, AD, then, if 0 be the centre of the circle, AO is perpendicular to DE. 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 the points of intersection... | |
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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. Take any straight... 
