Examples of Analytical Geometry of Three DimensionsIsaac Todhunter 1878 - Geometry - 88 pages |
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Common terms and phrases
a² b2 absolute curvature ax² b2 c² bisect by² centre circle co-ordinate planes concentric ellipsoid conical surface conjugate diameters cos² cosines curve of intersection cylinder cz² d²u developable surface distance edges ellipse ellipsoid equation x² Find the equation find the locus fixed point fixed straight lines given ellipsoid given plane given point given straight line hyperbola hyperboloid line of intersection lines of curvature lx+my+nz normal plane origin osculating plane parabola paraboloid plane of contact plane parallel plane passing plane perpendicular plane which passes planes are drawn points of contact principal radii principal sections radii of curvature represent right angles right cone second order sheet shew sphere surface of revolution surface whose equation surface x² tangent plane tetrahedron touch the surface u₁ vertex x² y² y² a² y² z² y²+z²