2015•American Journal of Undergraduate ResearchRequires access

A Curve Satisfying K/T = s with constant K>0

Yun Myung Oh, Ye Lim Seo

Abstract

In the present paper, we investigate a space curve in which the curvature is constant and the torsion is a linear function. The aim of this paper is to find an explicit formula for this space curve when the ratioof the torsion to the curvature is a linear function when the curvature is constant. KEYWORDS: Space Curve, Curvature, Torsion, General Helix, Frenet Frame, Series Solution, Rectifying Curve

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Key concepts: Frenet–Serret formulas, Torsion of a curve, Curvature, Torsion (gastropod), Constant curvature, Mathematics, Mathematical analysis, Constant (computer programming)