 | 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,... | |
 | 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... | |
 | Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...through O and cut the circle in C' and DE in P. Then as before the angle APD = ABC' = a right angle. 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... | |
 | Mathematics - 1860 - 294 pages
...STUDENTS. to find x and y by quadratics. — 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 - 380 pages
...extremities of the other three, and be described about the square ABCD. QEF PROPOSITION X. PROBLEM. To describe an isosceles triangle, having each of the angles at the bate double of the third angle. Take any straight line AB, and diride it in the point C, (ll. 11.)... | |
 | Euclides - 1861 - 464 pages
...6 Ax. 7 & 6. I. Sim. Ax. 1. 9, III. 7 8 9 10 D. 8. 11 Dcf. 6, IV. PROP. 10. — PROB. To construct an isosceles triangle, having each of the angles at the base double of the third, or vertical angle. CON. Pst. 3. 1. IV. Pet. 1. 5, IV. 11, II. To divide a given line into two parts,... | |
 | War office - 1861 - 714 pages
...Describe an isosceles triangle having each of the angles at the base double of the third angle. Also describe an isosceles triangle having each of the angles at the base one-third of the third angle. 2. If two triangles have one angle of the one equal to one angle of the... | |
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PBOR. —To describe an isosceles triangle, having each of the angles at the base, double of the third angle. 
