A Treatise on the Analytic Geometry of Three Dimensions

Ax² axes axis centre circle circular section co-ordinates coefficients common condition consecutive points constant corresponding cos² cosẞ cosy cubic curve of intersection denote determine differential direction-cosines directrix double point drawn eliminating ellipse ellipsoid envelope equal evidently fixed plane fixed point focal conic foci focus four planes geodesic given line given point Hence hyperbola hyperboloid infinity last article line joining line of curvature meets the surface normal osculating plane paraboloid parallel perpendicular plane at infinity plane curve plane meets plane of xy plane passing point of contact point x'y'z polar plane principal planes quadric radii radius of curvature radius vector ratio reciprocal represents right angles right line ruled surface second degree sphere sphero-conic square substituting surface of revolution tangent plane tetrahedron theorem transformed triangle umbilic values vanish