Pan Hon
Abstract
In order to explore the geometrical characteristics of spherical curves,this paper discusses the Frenet formula of Euclidean space. The Frenet formula of Euclidean space is extended to 6 dimensions,and a sufficient and necessary condition is presented to judge whether a space curve is a spherical curve.
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In order to explore the geometrical characteristics of spherical curves,this paper discusses the Frenet formula of Euclidean space. The Frenet formula of Euclidean space is extended to 6 dimensions,and a sufficient and necessary condition is presented to judge whether a space curve is a spherical curve.
Key concepts: Frenet–Serret formulas, Euclidean geometry, Euclidean space, Mathematics, Space (punctuation), Mathematical analysis, Property (philosophy), Pure mathematics