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2018•Unpublished venueOpen access

Research on Relationship between Curvature and Torsion of Space Curve

Yong Hui Huang

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Abstract

The space curve of curvature, torsion and formula is a part of the basic theory of space curve, it is close to plane space curve and prism of three basic knowledge as a basis.The space curve of curvature, torsion and formula in the basic theory of space curve occupies an important position, is some basic properties and the basic equation of space curve.The curve of curvature and torsion completely determines the shape of the curve.This paper from the definition, formula and curvature, to illustrate the three aspects gradually analytic space curves of torsion.

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What this paper is about

The space curve of curvature, torsion and formula is a part of the basic theory of space curve, it is close to plane space curve and prism of three basic knowledge as a basis.The space curve of curvature, torsion and formula in the basic theory of space curve occupies an important position, is some basic properties and the basic equation of space curve.The curve of curvature and torsion completely determines the shape of the curve.This paper from the definition, formula and curvature, to illustrate the three aspects gradually analytic space curves of torsion.

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Available abstract

The space curve of curvature, torsion and formula is a part of the basic theory of space curve, it is close to plane space curve and prism of three basic knowledge as a basis.The space curve of curvature, torsion and formula in the basic theory of space curve occupies an important position, is some basic properties and the basic equation of space curve.The curve of curvature and torsion completely determines the shape of the curve.This paper from the definition, formula and curvature, to illustrate the three aspects gradually analytic space curves of torsion.

Key concepts: Curvature, Torsion (gastropod), Torsion of a curve, Computer science, Mathematics, Geometry, Center of curvature, Mean curvature

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