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Dergiler / Turkish Journal of Mathematics and Computer Science / 2026 / Volume: 13 Issue: 1

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

Mustafa Bilici(ONDOKUZ MAYIS ÜNİVERSİTESİ)0000-0002-3502-5027
Sayfa
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Yayın Tarihi
2021-06-30
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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:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Trajectory ruled surface · developable ruled surface · involute-evolute

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. (2021). On the Developability and Distribution Parameters of the Involute Trajectory Ruled Surfaces. Turkish Journal of Mathematics and Computer Science, Volume: 13 Issue: 1. https://doi.org/10.47000/tjmcs.803690

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Kaynakça (16)

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