2013•Journal of Dezhou UniversityRequires access

The Curvatures of Plane Curve and Space Curve and The Methods of Their Calculation

Liangping Qi

Abstract

When calculating the curvature of a plane curve,with the help of the equation: tanα=dy/dx,the formula of a plane curve's curvature can be calculated easily,but if expand it to a space curve,such a equation is not existed,thus using a general method to solve the problem above-mentioned,some other types of curvatures are also discussed in this paper.

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Key concepts: Osculating circle, Plane curve, Curvature, Torsion of a curve, Mathematics, Plane (geometry), Space (punctuation), Center of curvature