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Journals / Konuralp Journal of Mathematics / 2023 / Volume: 11 Issue: 2

On the Construction of the Surface Family with a Common Involute Geodesic

Mustafa Bilici(ONDOKUZ MAYIS ÜNİVERSİTESİ)0000-0002-3502-5027
Ergin Bayram(ONDOKUZ MAYIS ÜNİVERSİTESİ)0000-0003-2633-0991
Pages
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Publication Date
2023-10-31
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Finally, we present two examples to support our results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we produce a surface family possessing an involute of a given curve as a geodesic.
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Key Findings & Data:We find necessary and sufficient conditions for the given curve such that its involute is a geodesic on any member of the surface family.
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Conclusion & Impact:Finally, we present two examples to support our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Involute curve · Geodesic curve · Frenet frame

Abstract

In this study, we produce a surface family possessing an involute of a given curve as a geodesic. We find necessary and sufficient conditions for the given curve such that its involute is a geodesic on any member of the surface family. Also, we present important results for ruled and developable surfaces. Finally, we present two examples to support our results.

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Cite This Article

Bilici, M., Bayram, E. (2023). On the Construction of the Surface Family with a Common Involute Geodesic. Konuralp Journal of Mathematics, Volume: 11 Issue: 2. https://ajindex.com/articles/1521516

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