The Elements of Coordinate Geometry, Volume 2

angular points asymptotes axes axis becomes centre chord circle circular points circum-circle circumscribed coincide condition conic conjugate constant corresponding points cross-ratio curve determine diagonals directrix distance divide double points draw drawn envelope equal EXAMPLES figure fixed point foci focus follows four points given given conic given point gives harmonic Hence hexagon homographic imaginary inscribed involution lies line at infinity line joining locus meet obtained origin pair parabola parallel passes perpendicular plane points at infinity points of contact points of intersection polar pole 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