Jianfei Xiong
Abstract
Frenet formula is the most important group of formulas in theory of curve. The curvature and the torsion of geodesic, the parametric equation of geodesic and of normal section, and the angle between geodesic and normal section, are derived from the Frenet formulas in this paper.
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Frenet formula is the most important group of formulas in theory of curve. The curvature and the torsion of geodesic, the parametric equation of geodesic and of normal section, and the angle between geodesic and normal section, are derived from the Frenet formulas in this paper.
Key concepts: Frenet–Serret formulas, Geodesic, Torsion of a curve, Curvature, Torsion (gastropod), Parametric equation, Mathematics, Parametric statistics