Turkish Journal of Mathematics and Computer Science

Turkish Journal of Mathematics and Computer Science

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

Yazarlar: Mustafa BİLİCİ

Cilt 13 , Sayı 1 , 2021 , Sayfalar 94 - 105

Konular:Matematik

DOI:10.47000/tjmcs.803690

Anahtar Kelimeler:Trajectory ruled surface,Developable ruled surface,Involute-evolute,Frenet frame,Euclidean 3-space

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.

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@article{2021, title={On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces}, volume={13}, number={94–105}, publisher={Turkish Journal of Mathematics and Computer Science}, author={Mustafa BİLİCİ}, year={2021} }
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Mustafa BİLİCİ. (2021). On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces (Vol. 13). Vol. 13. Turkish Journal of Mathematics and Computer Science.
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Mustafa BİLİCİ. On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces. no. 94–105, Turkish Journal of Mathematics and Computer Science, 2021.
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