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Journals / Communication in Mathematical Modeling and Applications / 2026 / Cilt: 1 Sayı: 1

Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space

Yasin Unluturk
Muradiye Cimdiker
Cumali Ekici
Pages
26–43
Publication Date
2016-01-01
DOI
—
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AI Summary & Key Takeaways

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

By using this rotation vector, we compute pitch length and pitch angle of the parallel ruled surfaces with Darboux frame. 

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, the parallel ruled surfaces with Darboux frame are introduced in Euclidean 3-space.
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Key Findings & Data:Then some characteristic properties such as developability, striction point and distribution parameter of the parallel ruled surfaces with Darboux frame are given in Euclidean 3-space.
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Conclusion & Impact:By using this rotation vector, we compute pitch length and pitch angle of the parallel ruled surfaces with Darboux frame. 
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Parallel ruled surface · Darboux frame · developability

Abstract

In this paper, the parallel ruled surfaces with Darboux frame are introduced in Euclidean 3-space. Then some characteristic properties such as developability, striction point and distribution parameter of the parallel ruled surfaces with Darboux frame are given in Euclidean 3-space. Then we obtain Steiner rotation vector of this kind of surfaces Euclidean 3-space. By using this rotation vector, we compute pitch length and pitch angle of the parallel ruled surfaces with Darboux frame. 

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Cite This Article

Unluturk, Y., Cimdiker, M., Ekici, C. (2016). Characteristic properties of the parallel ruled surfaces with Darboux frame in Euclidean 3- space. Communication in Mathematical Modeling and Applications, Cilt: 1 Sayı: 1, 26–43. https://ajindex.com/articles/1648696

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