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Journals / Turkish Journal of Mathematics and Computer Science / 2020 / Volume: 12 Issue: 2

On The Curves $N-T^{\ast }N^{\ast }$ in $E^3$

Şeyda Kılıçoglu(BAŞKENT ÜNİVERSİTESİ)0000-0003-0252-1574
Süleyman Şenyurt(ORDU ÜNİVERSİTESİ)0000-0003-1097-5541
Pages
—
Publication Date
2020-12-31
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AI Summary & Key Takeaways

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

Also similiar to the other offset curves under the spesific condition, we give Frenet apparatus of the second curve based on the Frenet apparatus of the first curve.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we have defined and examined the new kind curves, with the principal normal vector of the first curve and the vector lying on the osculator plane of the second curve are linearly dependent.
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Key Findings & Data:As a result we have called these new curves as $N-T^{\ast }N^{\ast }$ curves.
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Conclusion & Impact:Also similiar to the other offset curves under the spesific condition, we give Frenet apparatus of the second curve based on the Frenet apparatus of the first curve.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Associated curves · Mannheim curves · Bertrand pairs

Abstract

In this paper we have defined and examined the new kind curves, with the principal normal vector of the first curve and the vector lying on the osculator plane of the second curve are linearly dependent. As a result we have called these new curves as $N-T^{\ast }N^{\ast }$ curves. Also similiar to the other offset curves under the spesific condition, we give Frenet apparatus of the second curve based on the Frenet apparatus of the first curve.

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Cite This Article

Kılıçoglu, Ş., Şenyurt, S. (2020). On The Curves $N-T^{\ast }N^{\ast }$ in $E^3$. Turkish Journal of Mathematics and Computer Science, Volume: 12 Issue: 2. https://doi.org/10.47000/tjmcs.616122

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References (8)

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