Also, we have given the relations between of the curvatures of these curves.Then, we have defined involute and evolute curves of a curve and we have given some theorems in lorentzian plane
📌 3 Key Takeaways
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Objective & Hypothesis:In this study, we have defined parallel (offset) curves in the Lorentzian plane.
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Key Findings & Data:In this study, we have defined parallel (offset) curves in the Lorentzian plane.
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Conclusion & Impact:Also, we have given the relations between of the curvatures of these curves.Then, we have defined involute and evolute curves of a curve and we have given some theorems in lorentzian plane
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Düzlem eğrisi · İnvolute ve evolute eğriler · Paralel eğriler
Abstract
In this study, we have defined parallel (offset) curves in the Lorentzian plane. Also, we have given the relations between of the curvatures of these curves.Then, we have defined involute and evolute curves of a curve and we have given some theorems in lorentzian plane
Özet
Bu çalışmada, lorentz düzleminde paralel eğrileri tanımladık. Ayrıca bu eğrilerin eğrilikleri arasındaki ilişkileri verdik. Sonra, lorentz düzleminde bir eğrinin involute ve evolute eğrilerini tanımladık ve bazı teoremler verdik.
KARACAN, M. K., BÜKCÜ, B. (2008). PARALLEL (OFFSET) CURVES IN LORENTZIAN PLANE. Erciyes Üniversitesi Fen Bilimleri Enstitüsü Fen Bilimleri Dergisi, Cilt: 24 - Sayı: 1, 334–345. https://ajindex.com/articles/253251
B. Csikós, Differential Geometry, Lecture Notes, on the web. J.Oprea, Differential Geometry and its Applications, Prentica Hall, Inc, (1997).
A. Gray, Modern Differential Geometry of Curves and Surfaces with Mathematica, CRC Press, (1998).
T. Ikawa, Balkan J. Geom. Appl. 8, 2 (2003) 31. N. M. Patrikalakis, Computational Geometry, Lecture Notes, Massachusetts Institute of Technology, (2003).
E. Hartmann, Geometry and Algorithms for Computer Aided Design, Darmstadt University of Technology, (2003).
A. Sabuncuoglu, Diferensiyel Geometri, Nobel Yayin Dagitim, Ankara, (2004).