Conic Sections, Treated Geometrically

AC² asymptotes auxiliary circle BC² bisects the angle Cambridge CD² centre chord of contact cone confocal conic section conjugate diameters conjugate hyperbola constant ratio double ordinate draw drawn parallel ellipse equally inclined fixed point focal chord focal distances foci focus four points given point given straight line Hence J. W. DONALDSON latus rectum line joining locus major axis meet the axis meet the curve meet the directrix meet the tangent middle point normal parabola parallelogram passes perpendicular plane point of contact point of intersection point Q polar produced meet PROP prove rectangle rectangular hyperbola right angle semi-latus rectum shew shewn St John's College subtends tangent at Q tangents be drawn theorem Third Edition touching transverse axis triangle Trinity College vertex