The Elements of Coordinate Geometry, Volume 2

angular points asymptotes axis B₁ becomes centre chord circle circumscribed coincide common condition conic conjugate constant coordinates corresponding points cross-ratio curve determine diagonals distance double points draw drawn envelope equal figure fixed point foci focus follows four points given given conic given point gives harmonic Hence homographic hyperbola inscribed involution lies line at infinity line joining locus meet mẞ obtained origin pair parabola parallel passes pencil perpendicular plane point of intersection points of contact polar pole projected prove quadrilateral range rays reciprocal rectangular regard relation respect right angles S₁ satisfied self-conjugate Shew sides Similarly straight line Take tangential equation tangents theorem third touches triangle ABC triangle of reference values vertices w₁ w₂