Some Associated Curves of Normal Indicatrix of a Regular Curve
Nidal Echabbi and
Amina OUAZZANI Chahdi
Journal of Mathematics Research, 2020, vol. 12, issue 1, 84
In this paper, we consider integral curves of a vector field generated by Frenet vectors of normal indicatrix of a given curve in Euclidean 3-space. We define some new associated curves such as evolute direction curves, Bertrand direction curves and Mannheim directon curves of the normal indicatrix of a regular curve, respectively. We also found the relationships between curvatures of these curves. By using these associated curves, we give a new approach to construct slant helices and C- slant helices. Finally, we present some examples.
JEL-codes: R00 Z0 (search for similar items in EconPapers)
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Persistent link: https://EconPapers.repec.org/RePEc:ibn:jmrjnl:v:12:y:2020:i:1:p:84
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