2008•Journal of Shenyang Normal UniversityRequires access

On Exterior Contact of a Class of Revolving Curved Surface

Yuefeng Lin

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Abstract

The paper gives and proves the long shape ellipsoid of revolution surface,the double leaf revolving hyperboloid,and on the revolving paraboloid rotation axis about this revolving curved surface the section geometry determination;It gives and proves the that through long shape ellipsoid of revolution surface,double leaf revolving hyperboloid,and outside revolving paraboloid revolving curved surface and vertical to this rotation axis the section geometry determination of the straight line about the revolving curved surface.

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What this paper is about

The paper gives and proves the long shape ellipsoid of revolution surface,the double leaf revolving hyperboloid,and on the revolving paraboloid rotation axis about this revolving curved surface the section geometry determination;It gives and proves the that through long shape ellipsoid of revolution surface,double leaf revolving hyperboloid,and outside revolving paraboloid revolving curved surface and vertical to this rotation axis the section geometry determination of the straight line about the revolving curved surface.

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Available abstract

The paper gives and proves the long shape ellipsoid of revolution surface,the double leaf revolving hyperboloid,and on the revolving paraboloid rotation axis about this revolving curved surface the section geometry determination;It gives and proves the that through long shape ellipsoid of revolution surface,double leaf revolving hyperboloid,and outside revolving paraboloid revolving curved surface and vertical to this rotation axis the section geometry determination of the straight line about the revolving curved surface.

Key concepts: Hyperboloid, Paraboloid, Ellipsoid, Surface (topology), Surface of revolution, Geometry, Rotation (mathematics), Cycloid

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