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An elliptical cone quadric surface. In the Cartesian coordinate system, an elliptic cone is the locus of an equation of the form [7] + =. It is an affine image of the right-circular unit cone with equation + = .
An elliptic cone, a special case of a conical surface. In geometry, a conical surface is a three-dimensional surface formed from the union of lines that pass through ...
The elliptic cones intersect the sphere in spherical conics. Conical coordinates , sometimes called sphero-conal or sphero-conical coordinates, are a three-dimensional orthogonal coordinate system consisting of concentric spheres (described by their radius r ) and by two families of perpendicular elliptic cones, aligned along the z - and x ...
The intersection of an elliptic cone with a sphere is a spherical conic, which shares many properties with planar conics. In other areas of mathematics The classification into elliptic, parabolic, and hyperbolic is pervasive in mathematics, and often divides a field into sharply distinct subfields.
Quarter-elliptical area ... Right circular solid cone: r = the radius of the cone's base h = the distance is from base to the apex Solid sphere ...
This page was last edited on 6 August 2012, at 07:10 (UTC).; Text is available under the Creative Commons Attribution-ShareAlike 4.0 License; additional terms may ...
In mathematics, a quadric or quadric surface (quadric hypersurface in higher dimensions), is a generalization of conic sections (ellipses, parabolas, and hyperbolas).It is a hypersurface (of dimension D) in a (D + 1)-dimensional space, and it is defined as the zero set of an irreducible polynomial of degree two in D + 1 variables; for example, D = 1 in the case of conic sections.
In mathematics, a spherical conic or sphero-conic is a curve on the sphere, the intersection of the sphere with a concentric elliptic cone. It is the spherical analog of a conic section ( ellipse , parabola , or hyperbola ) in the plane, and as in the planar case, a spherical conic can be defined as the locus of points the sum or difference of ...