An Elementary Treatise on Conic Sections |
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... points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 • • Conics referred to two tangents and the chord of contact ... point circle 299 Pascal's theorem . [ See also 328 ...
... points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 • • Conics referred to two tangents and the chord of contact ... point circle 299 Pascal's theorem . [ See also 328 ...
Page 70
... point ; to find the equation of the straight line joining the points of contact of the tangents . Let the co - ordinates of the point from which the tan- gents are drawn be x ' y ' . Let the co - ordinates of the two points of contact ...
... point ; to find the equation of the straight line joining the points of contact of the tangents . Let the co - ordinates of the point from which the tan- gents are drawn be x ' y ' . Let the co - ordinates of the two points of contact ...
Page 71
... points of contact of the two imagi- nary tangents which can be drawn from a point within the circle . Def . The straight line through the points of contact of the tangents ( real or imaginary ) which can be drawn from any point to a ...
... points of contact of the two imagi- nary tangents which can be drawn from a point within the circle . Def . The straight line through the points of contact of the tangents ( real or imaginary ) which can be drawn from any point to a ...
Page 86
... point on the radical axis of two circles tangents are drawn , and the lines joining the points of contact to the centres of the circles are produced to meet ; find the equation of the locus of the point of intersection . 26. If the four ...
... point on the radical axis of two circles tangents are drawn , and the lines joining the points of contact to the centres of the circles are produced to meet ; find the equation of the locus of the point of intersection . 26. If the four ...
Page 87
... points can be found on their common diameter such that either point has the same polar with respect to one circle ... contact of two equal circles of constant radius c , each of which passes through one of two fixed points at a distance ...
... points can be found on their common diameter such that either point has the same polar with respect to one circle ... contact of two equal circles of constant radius c , each of which passes through one of two fixed points at a distance ...
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Common terms and phrases
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre circumscribing coefficients College confocal conics conjugate diameters conjugate hyperbola constant corresponding cross ratio Crown 8vo curve diagonals directrix distance eccentric angles Edition ellipse envelope equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four points given points given straight line harmonic Hence imaginary inscribed latus rectum Let the co-ordinates Let the equation line joining line whose equation meet middle point nine-point circle normals pair of conjugate parabola pass pencil perpendicular point of intersection point Q points at infinity points of contact polar pole Professor projection prove quadrilateral radical axis rectangular hyperbola required equation right angles shew sides square subtend tangents triangle of reference values vertex zero
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