Curvature and Torsion of Curves

Vladimir Rovenski
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Vladimir Rovenski: University of Haifa and Technion, Department of Mathematics

Chapter 12 in Geometry of Curves and Surfaces with MAPLE, 2000, pp 125-132 from Springer

Abstract: Abstract In this chapter we illustrate the use of some global theorems regarding the curvature of curves. The definition and basic calculating formulas for the curvature and the torsion of a curve are given in Section 12.1. In Sections 12.2 –12.3 we calculate the geometrical characteristics of plane and space curves, plot the moving Frenet frame and an osculating circle, and present the the fundamental theorem of algebra as an example. Section 12.4 deals with the main theorem in the classical theory of curves.

Keywords: Tangent Line; Plane Curve; Plane Curf; Unit Tangent Vector; Primitive Function (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-2128-9_13

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DOI: 10.1007/978-1-4612-2128-9_13

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