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

Authors : Çağla RAMİS, Beyhan YILMAZ, Yusuf YAYLI

Pages : 19-27

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Publication Date : 2022-12-30

Article Type : Research Paper

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