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Journals / Turkish Journal of Mathematics / 2020 / Cilt: 44 - Sayı: 1

Ruled surfaces obtained by bending of curves

Uğur GÖZÜTOK
Hüsnü Anıl ÇOBAN
Yasemin SAĞIROĞLU
Pages
300–306
Publication Date
2020-01-20
DOI
—
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AI Summary & Key Takeaways

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

Also, we obtain conditions for ruled surfaces obtained by bending to be developable.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We consider a first-order infinitesimal bending of a curve in R3 to obtain a ruled surface.
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Key Findings & Data:This paper investigates this kind of ruled surfaces and their properties.
💡
Conclusion & Impact:Also, we obtain conditions for ruled surfaces obtained by bending to be developable.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ruled surfaces · bending of curves · developable surfaces

Abstract

We consider a first-order infinitesimal bending of a curve in R3 to obtain a ruled surface. This paper investigates this kind of ruled surfaces and their properties. Also, we obtain conditions for ruled surfaces obtained by bending to be developable.

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Cite This Article

GÖZÜTOK, U., ÇOBAN, H. A., SAĞIROĞLU, Y. (2020). Ruled surfaces obtained by bending of curves. Turkish Journal of Mathematics, Cilt: 44 - Sayı: 1, 300–306. https://ajindex.com/articles/198139

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