 | Robert Henry Wright - Coordinates, Trilinear - 1865 - 174 pages
...a conic section circumscribing the triangle A, B, C, whose sides are a •= 0, ß = 0, 7 = 0. 133. Two variable tangents are drawn to a conic section,...intersection of the variable tangents is a straight line. Also if the fixed point be a focus, the locus will be the corresponding directrix. . , 134. Find the... | |
 | Harvard University - 1874 - 668 pages
...on a fixed tangent lengths (measured from its point of contact) of which the product ia a constant. Prove that the locus of the point of intersection of the variable tangents is a right line. Given, equation of tangents from x'y', (ax1* + 2Ar'y' + &c. ) (ax* + 2/uy + &c. ) = (ux'x... | |
 | London univ, exam. papers, John Edward Aloysius Steggall - Mathematics - 1882 - 264 pages
...required, and represents a straight line. 5. If a chord of a curve of the second degree pass through a fixed point, prove that the locus of the point of intersection of the tangents at its extremities is a right line. For a geometrical proof see Besant's Conic Sections, §... | |
 | 1887 - 188 pages
...Given the focus of a parabola, one tangent, and a point on it through which another tangent passes ; prove that the locus of the point of intersection of the variable tangent with a diameter through the point of contact of the fixed tangent is a circle which touches... | |
 | 388 pages
...11. Two points /'and Q are conjugate with regard to a conic. P lics on a fixed straight line and PQ subtends a right angle at a fixed point. Prove that the locus of Q is a conic passing through the fixed point. Let PM be the fixed line on which P lics and 0 the fixed... | |
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... subtends a right angle at a fixed point. Prove that the locus of the point of intersection of the variable tangents is a straight line. 