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Journals / Turkish Journal of Science / 2026 / Cilt: 6 Sayı: 2

An examination on N − D* partner curves with common principal normal and Darboux vector in E^3.

Süleyman Şenyurt(ORDU ÜNİVERSİTESİ)0000-0003-1097-5541
Şeyda Kılıçoglu(BASKENT UNIVERSITY)0000-0003-0252-1574
Pages
89–95
Publication Date
2021-09-30
DOI
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AI Summary & Key Takeaways

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

Also we give the Frenet-Serret apparatus of the second curve based on the Frenet-Serret apparatus of first curve.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper we have defined and examined curves with common principal normal and Darboux vectors ; if the principal normal vector of first curve and Darboux vector of second curve are linearly dependent, then first curve has been called N − D* curve, and the second curve is called N − D* partner curve.
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Key Findings & Data:These new curves are called N − D* pair curves.
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Conclusion & Impact:Also we give the Frenet-Serret apparatus of the second curve based on the Frenet-Serret apparatus of first curve.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:Darboux vector · Offset curves · Mannheim curves

Abstract

In this paper we have defined and examined curves with common principal normal and Darboux vectors ; if the principal normal vector of first curve and Darboux vector of second curve are linearly dependent, then first curve has been called N − D* curve, and the second curve is called N − D* partner curve. These new curves are called N − D* pair curves. Also we give the Frenet-Serret apparatus of the second curve based on the Frenet-Serret apparatus of first curve.

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Cite This Article

Şenyurt, S., Kılıçoglu, Ş. (2021). An examination on N − D* partner curves with common principal normal and Darboux vector in E^3.. Turkish Journal of Science, Cilt: 6 Sayı: 2, 89–95. https://ajindex.com/articles/1557535

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References (7)

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