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" To describe an isosceles triangle, having each of the angles at the base double of the third angle. "
Euclid's Elements of Geometry: The Six First Books. To which are Added ... - Σελίδα 118
των Rev. John Allen - 1822 - 494 σελίδες
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Solutions of the Problems and Riders Proposed in the Senate-house ...

William Walton, Charles Frederick Mackenzie - 1854 - 266 σελίδες
...quadrilateral circles be described meeting again in JJ; 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...

Orr's Circle of the Sciences: Organic nature, vols. 1-3 (1854-1856)

William Somerville Orr - 1854 - 534 σελίδες
...л described about tic square ABCD. Which was to be done. PROPOSITION X.— PÍIOBLEM. To describe an isosceles triangle having each of the angles at the base double of tinthird angle. ' u "• Take any straight line AB, and divide it in B,so and with centre A and...

Minutes of the Committee of Council on Education

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....

The Elements of geometry; or, The first six books, with the eleventh and ...

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...

Liber Cantabrigiensis, an account of the aids afforded to poor students, the ...

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 examination papers: a suppl. to the University calendar, 1856-59

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...

Examination papers used at the examinations for direct commissions [&c.].

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...

Examination papers used at the examinations for admission to the Royal ...

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...

A test-book for students; comprising sets of examination papers upon ...

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...

Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 240 σελίδες
...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...




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