A Treatise on the Analytic Geometry of Three Dimensions |
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Common terms and phrases
a² b2 ax² axes axis by² centre circle circular section co-ordinates coefficients condition confocal consecutive constant corresponding cos² cosẞ cosy cubic cz² denote determine direction-cosines directrix discriminant double point drawn ellipse ellipsoid envelope equal evidently fixed plane focal conic focal lines foci focus geodesic given line given point Hence hyperbola hyperboloid infinity last article line joining line of curvature meets the surface normal origin osculating plane paraboloid parallel perpendicular plane at infinity plane curve plane of xy plane passing planes of circular point of contact point x'y'z polar plane principal planes proved quadric radii radius vector reciprocal represents right angles right line ruled surface second degree sphere sphero-conic square substituting surface of revolution tangent plane tangential equation tetrahedron theorem transformed triangle U₁ umbilics values vanish λ²