| War office - 1858 - 12 pages
...are also themselves equal and parallel. VOLUNTARY PORTION. 1. Describe an isosceles triangle having **each of the angles at the base double of the third angle.** 8 DIRECT COMMISSIONS. 2. Equal parallelograms which have one angle of the one equal to one angle of... | |
| Sandhurst roy. military coll - 1859 - 1869 pages
...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 - 1859
...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 - 170 pages
...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.... | |
| Mathematics - 1860
...Communicated by Prof. K W. EVANS, Marietta College, Ohio. II. Describe an isosceles triangle having **each of the angles at the base double of the third angle.** III. Which is greater, 2 tan~ 1 (y/2 — 1), or 3 tan- 1 £ -f- tan~ 1 -fa ? — Communicated by PROF.... | |
| Robert Potts - Geometry, Plane - 1860 - 361 pages
...inscribed ? I5. 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 property.... | |
| Henry William Watson, Edward John Routh - Mathematics - 1860 - 197 pages
...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... | |
| Henry William Watson, Edward John Routh - Mathematics - 1860 - 198 pages
...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... | |
| Euclides - 1862
...double of the angle BAD. Conclusion. — Therefore an isosceles triangle ABD has been described, having **each of the angles at the base double of the third angle.** QEF PROPOSITION 11.— PROBLEM. To inscribe a regular pentagon, that is, an equilateral and equiangular... | |
| Euclides - 1863
...and D BA is double of the angle DAB. Wherefore an isosceles triangle ABD has been described, having **each of the angles at the base double of the third angle.** Q EF PEOP. XI. f PEOELEM.)—To inscribe a regular vcntugon in a given circle Describe (IV. 10) an... | |
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