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algebraic surface
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Hyperboloids of (left) one sheet and (right) two sheets hyperbolic paraboloid
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Hyperboloids of (left) one sheet and (right) two sheets
Hyperboloids of (left) one sheet and (right) two sheets

algebraic surface

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algebraic surface, in three-dimensional space, a surface the equation of which is f(x, y, z) = 0, with f(x, y, z) a polynomial in x, y, z. The order of the surface is the degree of the polynomial equation. If the surface is of the first order, it is a plane. If the surface is of order two, it is called a quadric surface. By rotating the surface, its equation can be put in the form Ax2 + By2 + Cz2 + Dx + Ey + Fz = G. If A, B, C are all not zero, the equation can ...(100 of 288 words)

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