The detailed proof of theorem which characterizes a slant helix

2012/03/20 by Fatih Doğan, Dogan, Fatih
Computer Science · Engineering · #53A04 #Advanced Numerical Analysis Techniques #Computational Geometry and Mesh Generation #Differential Geometry (math.DG) #FOS: Mathematics #Robotic Mechanisms and Dynamics

paper · pdf · doi:10.48550/arxiv.1203.4436

openalex publication_date 2012/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, firstly the axis of a slant helix is found with a method. Secondly, the theorem which characterizes a unit speed curve to be a slant helix is proved in detail. The importance of this theorem is stemed from that it has led to many papers regarding slant helices in the differential geometry literature.

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