The Elements of Plane and Solid Analytic Geometry

a² b2 abscissa asymptotes axes axis bisected bisector called central conic centre chords circle x² coefficients cone conic sections conjugate diameters conjugate hyperbolas constant corresponding cos² curve directrix distance ellipse equal EXAMPLES Find the equation Find the locus fixed point foci formulæ Geometry given equation given line given points Hence imaginary latus rectum Let P(x Let the equation line joining line passing loci maximum meet middle points negative ordinate origin P₁ parabola parallel perpendicular Plane Geometry point of intersection point Q polar coordinates polar equation positive radical axis radius ratio real roots rectangle rectangular coordinates represent required equation root of f(x Show sides sin² slope sphere square standard form straight line surface symmetrical with respect Transform variable vertex vertices x-axis y-axis y-intercept y₁ zero бх