 | 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... | |
 | Thomas Stantial - Examinations - 1859 - 352 pages
...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
...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.... | |
 | Sandhurst roy. military coll - 1859 - 672 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... | |
 | Mathematics - 1860 - 294 pages
...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.... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 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... | |
 | Robert Potts - Geometry, Plane - 1860 - 380 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 - 240 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 - 140 pages
...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 - 122 pages
...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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To describe an isosceles triangle having each of the angles at the base double of the third angle. 
