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A CHARACTERIZATION OF CONSTANT-RATIO CURVES IN EUCLIDEAN 3-SPACE E 3

A twisted curve in Euclidean 3-space E 3 can be considered as a curve whose position vector can be written as linear combination of its Frenet vectors. In the present study we study the twisted curves of constant ratio in E 3 and characterize such curves in terms of their curvature functions. Further, we obtain some results of T-constant and N-constant type twisted curves in E 3 . Finally, we give some examples of equiangular spirals which are constant ratio curves.