An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry

2hxy a² b2 angular points asymptotes ax² axes bisect by² centre chord of contact circle x² coincident confocal conics conjugate diameters conjugate hyperbola constant cos² cross ratio curve diagonals director-circle directrix distance eccentric angles ellipse find the equation find the locus fixed point fixed straight line foci focus four points given straight line infinite number inscribed latus rectum Let the equation line joining line whose equation locus meet middle points nine-point circle normals number of triangles origin orthocentre parabola pass perpendicular point of intersection points at infinity points of contact polar pole projection Prove quadrilateral radical axis ratio reciprocal rectangular hyperbola required equation right angles S₁ S₂ self-polar shew sides touch sin² square subtend tangents triangle ABC triangle formed triangle of reference values vertex x²/a² y₁ y²/b² zero