On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces

Authors : Mustafa BİLİCİ

Pages : 94-105

Doi:10.47000/tjmcs.803690

View : 24 | Download : 7

Publication Date : 2021-06-30

Article Type : Research Paper

Abstract :In this study, ruled surfaces formed by Frenet`s trihedral of involute curve $\beta $ of a given curve $\alpha $ are discussed. These surfaces are named as involute trajectory ruled surfaces. These type of ruled surfaces are expressed depending on the angle $\theta $ between the binormal vector $b$ and Darboux vector $D$ of the main curve insert ignore into journalissuearticles values(evolute); $\alpha $. Also, some new results and theorems related to the developability of the involute trajectory ruled surfaces are obtained. Finally we illustrate these surfaces by presenting some examples.
Keywords : Trajectory ruled surface, developable ruled surface, involute evolute, Frenet frame, Euclidean 3 space