2006•Journal of Huaihua UniversityRequires access

On a Property on Rectilinear Generators of Hyperboloid of One Sheet

Zhujun Wang

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Abstract

The paper proves that the surface normal,which is followed by rectilinear generators on hyperboloid of on sheet,comstructs the hyperbolic paraboloid generated by two same parabola,when rectilinear generators go through the vertex of waist ellipse,and it also deduces that the hyperboloid of one sheet is constructed by surface normal through a certain rectilinear generator.

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What this paper is about

The paper proves that the surface normal,which is followed by rectilinear generators on hyperboloid of on sheet,comstructs the hyperbolic paraboloid generated by two same parabola,when rectilinear generators go through the vertex of waist ellipse,and it also deduces that the hyperboloid of one sheet is constructed by surface normal through a certain rectilinear generator.

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Available abstract

The paper proves that the surface normal,which is followed by rectilinear generators on hyperboloid of on sheet,comstructs the hyperbolic paraboloid generated by two same parabola,when rectilinear generators go through the vertex of waist ellipse,and it also deduces that the hyperboloid of one sheet is constructed by surface normal through a certain rectilinear generator.

Key concepts: Hyperboloid, Paraboloid, Parabola, Generator (circuit theory), Ellipse, Vertex (graph theory), Surface (topology), Property (philosophy)

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