On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces
Turkish Journal of Mathematics and Computer Science, cilt.13, sa.1, ss.94-105, 2021 (TRDizin)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 13 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.47000/tjmcs.803690
- Dergi Adı: Turkish Journal of Mathematics and Computer Science
- Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
- Sayfa Sayıları: ss.94-105
- Ondokuz Mayıs Üniversitesi Adresli: Evet
Özet
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.