A treatise on the application of analysis to solid geometry, commenced by D.F. Gregory, concluded by W. WaltonJ. Deighton, 1852 - 310 pages |
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ax² axis centre chords coefficients condition cone consecutive constant coordinate planes cosines cosß cosv cosy curvature curve of contact cylinder determined developable surface dF dF dF dF dx diametral plane direction-cosines dx dy dy dz eliminate ellipse ellipsoid equal expression find the equation geometrical given line Hence hyperbolic hyperbolic paraboloid hyperboloid infinite number Let the equations line of intersection lines of curvature locus Multiplying normal plane origin osculating circle osculating plane P₁ parabola parameters perpendicular plane curve plane of yz planes parallel positive projection Px² quantities Qy² r₁ radii radius ratios rectangular ruled surfaces Rz² second degree second order sections shew singular points sphere straight line substitute suppose surfaces of revolution tangent plane three equations values vanish variables x₁ y₁ y²² zero