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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2026 / Volume: 42 Issue: 4

New moving frames for the curves lying on a surface

Akın Alkan(Gördes Vocational School, Manisa Celal Bayar University, Manisa, 45750,Türkiye)0000-0002-8179-9525
Hüseyin Kocayiğit(Department of Mathematics, Manisa Celal Bayar University, Manisa, 45140, Türkiye)0000-0001-6503-8243
Tuba Ağırman Aydın(Faculty of Education, Bayburt University, Bayburt, 69000, Türkiye)0000-0001-8034-0723
Pages
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Publication Date
2024-08-01
DOI
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AI Summary & Key Takeaways

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

Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this article, three new orthogonal frames are defined for the curves lying on a surface.
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Key Findings & Data:These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively.
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Conclusion & Impact:Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Darboux Frame · Moving Frame · Normal Darboux Vector

Abstract

In this article, three new orthogonal frames are defined for the curves lying on a surface. These moving frames, obtained based on the Darboux frame, are called “Osculator Darboux Frame”, “Normal Darboux Frame” and “Rectifying Darboux Frame”, respectively. Also, the Osculator Darboux Frame components and curvatures are calculated for a presented example.

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Cite This Article

Alkan, A., Kocayiğit, H., Aydın, T. A. (2024). New moving frames for the curves lying on a surface. Sigma Mühendislik ve Fen Bilimleri Dergisi, Volume: 42 Issue: 4. https://ajindex.com/articles/1344471

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