Conic Sections treated Geometrically

AC² asymptotes axis BC² bisects the angle called Cambridge centre chord of contact circle College common cone conic conic section conjugate diameters constant construction containing curvature curve described directrix draw drawn drawn parallel ellipse ends equal extremities figure fixed point focal chord focal distances foci focus follows formed four given given point harmonic Hence hyperbola intersection late latus rectum length locus major meet meet the axis meet the curve middle point normal Notes ordinate pair parabola parallel passes perpendicular plane point of contact point of intersection polar produced projection PROP properties prove ratio rectangle respectively right angle shew shewn sides similar similarly straight line tangent theorem touching transverse axis triangle vertex