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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2026 / Volume: 72 Issue: 1

Bertrand partner P-trajectories in the Euclidean 3-space $E^3$

Zehra İşbilir(DUZCE UNIVERSITY, FACULTY OF ARTS AND DESIGN)0000-0001-5414-5887
Kahraman Esen Özen(CANKIRI KARATEKIN UNIVERSITY)0000-0002-3299-6709
Murat Tosun(SAKARYA UNIVERSITY)0000-0002-4888-1412
Pages
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Publication Date
2023-03-30
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AI Summary & Key Takeaways

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

Moreover, we provide a numerical example.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The concept of a pair of curves, called as Bertrand partner curves, was introduced by Bertrand in 1850.
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Key Findings & Data:In this study, we take into account of the concept of Bertrand partner trajectories according to Positional Adapted Frame (PAF) for the particles moving in 3-dimensional Euclidean space.
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Conclusion & Impact:Moreover, we provide a numerical example.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kinematics of a particle · Bertrand curves · positional adapted frame

Abstract

The concept of a pair of curves, called as Bertrand partner curves, was introduced by Bertrand in 1850. Bertrand partner curves have been studied widely in the literature from past to present. In this study, we take into account of the concept of Bertrand partner trajectories according to Positional Adapted Frame (PAF) for the particles moving in 3-dimensional Euclidean space. Some characterizations are given for these trajectories with the aid of the PAF elements. Then, we obtain some special cases of these trajectories. Moreover, we provide a numerical example.

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Cite This Article

İşbilir, Z., Özen, K. E., Tosun, M. (2023). Bertrand partner P-trajectories in the Euclidean 3-space $E^3$. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 72 Issue: 1. https://doi.org/10.31801/cfsuasmas.1094170

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