Curves of Constant Ratio with Quasi frame in E^3

Year 2024, Issue: 1, 103 - 108, 01.10.2024

Rabia Kalmuk , Sezgin Büyükkütük , Günay Öztürk

https://doi.org/10.46810/tdfd.1425358

Abstract

In the present study we handle a regular unit speed curve by means of the position vector given by the vectorial equation γ (s)=m0 t(s)+m1 nq (s)+m2 bq (s) where bq (s), nq (s) and t(s) are quasi frame vectors. Firstly, we analysis these curves and investigate to being constant ratio curve. Then, we give the parameterizations of T-constant and N- constant curve in accordance with quasi frame. Further, we get the conditions for a regular curve to correspond to be a W- curve in E^3.

Keywords

Constant ratio curve, Position vector, Quasi frame

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