Journals / Sakarya University Journal of Science / 2018 / Volume: 22 Issue: 6

Bisector Surfaces Through A Common Line of Curvatures and Its Classifications

Muhammed Talat Sarıaydın(Selçuk University, Mathematics Department, Konya, Turkey.)0000-0002-3613-4276
Pages
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Publication Date
2018-12-01
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AI Summary & Key Takeaways

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

After this, we classify the Bisector surfaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we study the Bisector surface, which defines the line of curvature on a surface play an importance role.
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Key Findings & Data:Firstly, the Bisector surface constructed by a point and a space curve given in Euclidean 3-space.
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Conclusion & Impact:After this, we classify the Bisector surfaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bisector surface · Ruled surface · line of curvature

Abstract

In this paper, we study the Bisector surface, which defines the line of curvature on a surface play an importance role. Firstly, the Bisector surface constructed by a point and a space curve given in Euclidean 3-space. Then, it is investigated that the necessary and sufficient condition for directrix curve of this surface to satisfy line of curvature. After this, we classify the Bisector surfaces.

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Cite This Article

Sarıaydın, M. T. (2018). Bisector Surfaces Through A Common Line of Curvatures and Its Classifications. Sakarya University Journal of Science, Volume: 22 Issue: 6. https://doi.org/10.16984/saufenbilder.409153

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References (1)

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