A Treatise on the Application of Analysis to Solid Geometry

ax² axis centre chords circle coefficients condition cone constant coordinate planes cosines cosn cosß cosv cosy curvature curve of contact cutting plane cylinder determined developable surface dF dx diametral plane direction-cosines dx dy dy dz eliminate ellipse ellipsoid equa equal expression find the equation formulæ geometrical given plane Hence homogeneous function hyperbolic hyperbolic paraboloid hyperboloid infinite number Let the equations line of intersection lines of curvature locus Multiplying negative normal plane origin osculating circle osculating plane parameters perpendicular plane curve planes of yz planes parallel positive projection Px² quantities Qy² r₁ ratios rectangular ruled surfaces Rz² second degree second order sections shew singular points sphere straight line substitute suppose tangent plane three equations values vanish variables x₁ x²² y₁ y²² zero