An elementary manual of coordinate geometry and conic sections

a²+b² asymptotes axes axis of x base becomes bisected Book called centre chord chord of contact circle coefficient condition cone conjugate diameters Consequently constant coordinates corresponding cos² curve cutting plane describe diameter difference direction directrix distance draw drawn easily ellipse equal equation evident extremities figure find the equation fixed point focal distances foci focus follows Geometry given point given straight line hyperbola inclined intercept intersection length major axis manifestly meet method middle point minor moved negative normal opposite origin pair parabola parallel perpendicular plane of yz point of contact polar position produced Prop properties proved radius ratio rectangular referred represents respectively right angles satisfied segments sides Similarly sphere square straight line straight line joining substituting Take taken tangent touch triangle vertex written