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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 3

Some special types of developable ruled surface

K. ARSLAN
P. ALEGR
Alfonso CARRİAZO
C. MURATHAN
G. ÖZTÜRK
Pages
319–325
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

We give necessary and sufficient conditions for these types of ruled surface to become developable.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study we consider the focal curve C $gamma$ of a space curve $gamma$ and its focal curvatures.
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Key Findings & Data:We characterize some special types of ruled surface, choosing one of the base curves or director curves as the focal curve of the space curve $gamma$ .
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Conclusion & Impact:We give necessary and sufficient conditions for these types of ruled surface to become developable.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study we consider the focal curve C $gamma$ of a space curve $gamma$ and its focal curvatures. We characterize some special types of ruled surface, choosing one of the base curves or director curves as the focal curve of the space curve $gamma$ . Finally we construct new types of ruled surface and calculate their distinguished parameters. We give necessary and sufficient conditions for these types of ruled surface to become developable.

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Cite This Article

ARSLAN, K., ALEGR, P., CARRİAZO, A., MURATHAN, C., ÖZTÜRK, G. (2022). Some special types of developable ruled surface. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 3, 319–325. https://ajindex.com/articles/530648

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