New Associated Curves $k-$Principle Direction Curves and $N_{k}-$Slant Helix

Year 2022, Volume: 4 Issue: 2, 19 - 27, 30.12.2022

Çağla Ramis , Beyhan Yılmaz , Yusuf Yaylı

Abstract

In this study, we present an alternative orthonormal frame system for spatial curves defined by principal directions in $3−$dimensional Euclidean space. The new curve characterization called as $N_{k}-$slant helix, which is an improved version of existing helices, is obtained as a fundamental outcome.

Keywords

Slant helix, Clad helix, direction curve, curve of constant precession

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