The Elements of Coordinate Geometry, Volume 2
Macmillan and Company, limited, 1923 - Conic sections
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angular points asymptotes axes becomes centre chord circle circum-circle circumscribed clearly coincide condition conic conjugate constant coordinates corresponding points cross-ratio curve determine diagonals directrix distance double points draw drawn envelope equal EXAMPLES figure fixed point foci focus follows four points given given conic given point gives harmonic Hence homographic imaginary inscribed involution lies line at infinity line joining locus meet middle points obtained opposite sides origin pair parabola parallel passes perpendicular plane points of contact points of intersection polar pole positive projected prove quadrilateral range rays reciprocal regard relation represents respect right angles satisfied Shew sides Similarly straight line Take tangential equation tangents theorem third touches triangle ABC triangle of reference values vertex vertices