 | Cambridge univ, exam. papers - 1854 - 284 σελίδες
...quadrilateral circles be described meeting again in R; P, R, Q will be in one straight line. 4. Describe an isosceles triangle having each of the angles at the base double of the third angle. Upon a given straight line, as base, describe an isosceles triangle having the... | |
 | Popular educator - 1854 - 922 σελίδες
...the fifth. This last I studied in the usual way, but without the assistance of a master. To describe an isosceles triangle having each of the angles at the base double of the vertical angle, almost baffled me. 1, however, after three months of hard study, succeeded in... | |
 | Euclides - 1855 - 270 σελίδες
...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... | |
 | Great Britain. Committee on Education - 1855 - 976 σελίδες
...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.... | |
 | Robert Potts - 1855 - 1050 σελίδες
...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... | |
 | Cambridge univ, exam. papers - 1856 - 200 σελίδες
...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... | |
 | War office - 1858 - 578 σελίδες
...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... | |
 | Thomas Stantial - 1859 - 352 σελίδες
...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... | |
 | Sandhurst roy. military coll - 1859 - 672 σελίδες
...general term of the series arising from expanding it according to ascending powers of x. 7. Describe an isosceles triangle having each of the angles at the base double of the third angle. Shew that one of the triangles in Euclid's figure is a mean proportional between... | |
 | 1860 - 294 σελίδες
...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 ? —... | |
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To describe an isosceles triangle, having each of the angles at the base double of the third angle. 
