 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 pages
...circle ; (2) the circle is said to be described about the rectilineal figure. PROPOSITION 2. PROBLEM. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given 0, DEF the given A : it is reqd. to inscribe in 0 ABC a A equiangular to A DEF. Through A draw... | |
 | Euclid - Geometry - 1890 - 442 pages
...vertices of corresponding angles are called corresponding sides. i94 Proposition 2. PROBLEM — In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given A. At any pt. P, on the circumf. of given O, draw a tang. TPS. Draw chds. PQ, PR of this O, so... | |
 | Edward Albert Bowser - Geometry - 1890 - 414 pages
...his invention in combining the different steps suggested by the analysis in the simplest form. 54. In a given circle to inscribe a triangle equiangular to a given triangle. Given, the O ABC, and the A DEF. Required, to inscribe in the O a A equiangular to DEF. Analysis. Suppose... | |
 | 1891 - 718 pages
...; and conversely, those which are equally distant from the centre are equal to one another. (6) In a given circle to inscribe a triangle, equiangular to a given triangle. N. В.— When Female Candidates have worked this paper, they will receive, on application, the paper... | |
 | Edinburgh Mathematical Society - Mathematics - 1893 - 352 pages
...In a given circle to place a chord of given length. , The construction may be effected by IV. 2. In a given circle to inscribe a triangle equiangular to a given triangle. I shall suppose the centre of the circle to be known. The construction may be effected by IV. 3. About... | |
 | William James Milne - Geometry, Modern - 1899 - 258 pages
...Ex. 344. Draw a common tangent to two given circles. How many solutions may there be ? Ex. 345. In a given circle, to inscribe a triangle equiangular to a given triangle. Ex. 346. About a given circle, to circumscribe a triangle equiangular to a given triangle. Ex. 347.... | |
 | William James Milne - Geometry - 1899 - 326 pages
...solution. If OP<r — r', one О is entirely within the other, and the problem is impossible. Ex. 345. In a given circle, to inscribe a triangle equiangular to a given triangle. Solution. Draw HJ tangent to the given О at F; draw chord FD making ¿DFJ=¿A of the given A ABC,... | |
 | University of Toronto - 1901 - 1190 pages
...MATRICULATION EXAMINATIONS : JUNE, 1901. EUCLID AND TRIGONOMETRY. Examiner : ALFRED BAKER, MA 1. In a given circle to inscribe a triangle equiangular to a given triangle. Shew also how to make the construction that the sides of the triangle within the circle may be parallel... | |
 | Association for the Improvement of Geometrical Teaching - 1903 - 342 pages
...equal escribed circles of an isosceles triangle are equal to the altitude of the triangle. PROB. 8. In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, DEF the given triangle : it is required to inscribe in ABC a triangle equiangular to... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...given base construct a triangle of given vertical angle and given median. Is this always possible? In a given circle to inscribe a triangle equiangular to a given triangle XYZ. Analysis Suppose that the problem has been solved; and that ABC is the required A. Let PAQ be... | |
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In a given circle to inscribe a triangle equiangular to a given triangle. Let ABC be the given circle, and DEF the given triangle ; it is required to inscribe in the circle ABC a triangle equiangular to the triangle DEF. 
