International Journal of
Physical Sciences

  • Abbreviation: Int. J. Phys. Sci.
  • Language: English
  • ISSN: 1992-1950
  • DOI: 10.5897/IJPS
  • Start Year: 2006
  • Published Articles: 2528

Full Length Research Paper

On the Bishop curvatures of involute-evolute curve couple in E3

Engin As
  • Engin As
  • Department of Mathematics, Faculty of Science and Arts Ondokuz Mayis University, 55139-Kurupelit, Samsun, Turkey
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Ayhan Sarıoğlugil
  • Ayhan SarıoÄŸlugil
  • Department of Mathematics, Faculty of Science and Arts Ondokuz Mayis University, 55139-Kurupelit, Samsun, Turkey
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  •  Received: 24 November 2013
  •  Accepted: 19 February 2014
  •  Published: 16 April 2014

Abstract

In this study, the relations between of the Bishop curvatures of involute-evolute curve couple were examined in . Also, the relation between of the Bishop frames of these curves was given. Moreover,  the relations between of curvature radii of these curves were investigated. Lastly, in the case of these curves were planar curves, some corollaries were obtained.

Key words. Bishop frame, Bishop curvatures, involute-evolute curve couple.