The Elements of Coordinate Geometry, Part 2

asymptotes axes becomes called centre chord circle circle x² coincident common condition conic conic section constant coordinates corresponding cos² curve direction directrix distance draw drawn eccentric ellipse ends equal EXAMPLES Find the equation fixed point foci focus follows given given point given straight line gives Hence imaginary inclined intercept length lies locus meet middle point negative normal obtained origin pair parabola parallel passes perpendicular point h point of contact point of intersection polar pole positive prove quantity radical axis radius rectangular hyperbola rectum referred relation represents required equation respect right angles roots satisfy Shew sides Similarly sin² square straight line straight line joining Substituting Take tangent touches triangle values vertex written x₁ y₁ zero