A treatise on the application of analysis to solid geometry. Commenced by D. F. G., concluded by W. Walton |
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angle Ax² axis centre chords circle co-ordinate planes coefficients condition cone constant cos² curve of contact cylinder d²x d³y determined developable surface dF dF dF dx diameters diametral plane differential equation direction-cosines ds² dv du dv dx dy dz dx² eliminate ellipse ellipsoid equa equal find the equation formulæ geometrical Hence homogeneous function hyperbolic hyperbolic paraboloid hyperboloid Let the equations line of intersection lines of curvature locus multiply normal plane origin osculating circle osculating plane P'y² P'z² P₁ parameters perpendicular plane curve plane of xy positive projection Px² quantities r₁ radii radius of curvature ruled surfaces satisfied second degree second order sin² sphere straight line substitute surfaces of revolution tangent plane values vanish variables x₁ x² y² y₁ y²²