- Turkish Journal of Mathematics and Computer Science
- Vol: 13 Issue: 1
- On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces
On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces
Authors : Mustafa BİLİCİ
Pages : 94-105
Doi:10.47000/tjmcs.803690
View : 6 | Download : 2
Publication Date : 2021-06-30
Article Type : Research
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 (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