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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Our main result is that every space curve is a directional Bertrand curve with in nite directional Bertrand mates.
📌 3 Key Takeaways
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Objective & Hypothesis:It is well known that a characteristic property of the Bertrand curve is the existence of a linear relation between its curvature and torsion.
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Key Findings & Data:In this paper, we propose a new method for generating Bertrand curves, which avoids the basic restrictions.
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Conclusion & Impact:Our main result is that every space curve is a directional Bertrand curve with in nite directional Bertrand mates.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bertrand Curves · offset · Frenet frame
Abstract
It is well known that a characteristic property of the Bertrand curve is the existence of a linear relation between its curvature and torsion. In this paper, we propose a new method for generating Bertrand curves, which avoids the basic restrictions. Our main result is that every space curve is a directional Bertrand curve with in nite directional Bertrand mates.
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Cite This Article
Dede, M., Ekici, C. (2018). Directional Bertrand Curves. Gazi University Journal of Science, Volume: 31 Issue: 1. https://ajindex.com/articles/1269304