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Dergiler / Turkish Journal of Mathematics and Computer Science / 2021 / Cilt: 13 - Sayı: 1

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

Mustafa Bilici
Sayfa
94–105
Yayın Tarihi
2022-11-02
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally we illustrate these surfaces by presenting some examples.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, ruled surfaces formed by Frenet's trihedral of involute curve$beta $ of a given curve $alpha $ are discussed.
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Temel Bulgular & Veri:These surfaces are named as involute trajectory ruled surfaces.
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Sonuç & Katkı:Finally we illustrate these surfaces by presenting some examples.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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.

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Bu Makaleye Atıf Yap

Bilici, M. (2022). On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces. Turkish Journal of Mathematics and Computer Science, Cilt: 13 - Sayı: 1, 94–105. https://ajindex.com/articles/609089

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Kaynakça (15)

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