Combining Principal Normal Indicatrix Curves and Direction Curves with an Alternative Frame
Şu kitabın bölümü: Akpınar, A. (ed.) 2023. Matematik ve Fen Bilimleri Üzerine Araştırmalar-III.

İlkay Arslan Güven
Gaziantep Üniversitesi
Fatma Çolak
Gaziantep Üniversitesi

Özet

This work examined the direction curves of principal normal indicatrix curves regarding a regular curve in Euclidean space of three dimension. The {N,C,W} frame was assigned as a new alternative frame for the mentioned curve. Investigating relationships among the main curve and direction curves using such novel alternative frame is an innovative approach. The Frenet members, curvature, torsion, harmonic curvature and geodesic curvature of direction curves were determined. Direction curve characterizations in the forms of the C-slant helix , slant helix and general helix were provided. In the end, the relevant figures for these curves were displayed.

Kaynakça Gösterimi

Arslan Güven, İ. & Çolak, F. (2023). Combining Principal Normal Indicatrix Curves and Direction Curves with an Alternative Frame. In: Akpınar, A. (ed.), Matematik ve Fen Bilimleri Üzerine Araştırmalar-III. Özgür Yayınları. DOI: https://doi.org/10.58830/ozgur.pub252.c1285

Lisans

Creative Commons License

Bu çalışma Creative Commons Attribution 4.0 International License ile lisanslanmıştır.

Yayın Tarihi

21 October 2023

DOI