In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by considering the Darboux frames of surface curves, we call these curves as Bertrand partner D -curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by considering the Darboux frames of surface curves, we call these curves as Bertrand partner D -curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.
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Key Findings & Data:In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by considering the Darboux frames of surface curves, we call these curves as Bertrand partner D -curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.
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Conclusion & Impact:In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by considering the Darboux frames of surface curves, we call these curves as Bertrand partner D -curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters
Abstract
In this paper, we consider the idea of Bertrand partner curves for curves lying on surfaces and by considering the Darboux frames of surface curves, we call these curves as Bertrand partner D -curves and give the characterizations for these curves by means of the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated curves.
Özet
Bu çalışmada, Bertrand partner eğrileri düşüncesi yüzey üzerinde yatan eğriler için ele alınmış ve yüzey eğrilerinin Darboux çatıları dikkate alınarak bu eğriler Bertrand partner D -eğrileri olarak adlandırılmıştır. Bu eğrilerin karakterizasyonları, bağlantılı eğrilerin geodezik eğriliklerine, normal eğriliklerine ve geodezik burulmalarına göre verilmiştir.
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Cite This Article
KAZAZ, M., ÖNDER, M., UĞURLU, H. H., ORAL, S. (2022). E Öklid 3-Uzayında Bertrand Partner D -Eğrileri. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 16 - Sayı: 1, 76–83. https://ajindex.com/articles/430203
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