Construction of Curve Pairs and Their Applications

  • Mehmet Önder
Research Article


In this study, we introduce a new approach to curve pairs by using integral curves. We consider the direction curve and donor curve to study curve couples such as involute–evolute curves, Mannheim partner curves, and Bertrand partner curves. We obtain new methods to construct partner curves of a unit-speed curve and give some applications related to helices, slant helices, and plane curves.


Direction curve Donor curve Helix Slant helix Partner curves 

Mathematics Subject Classification




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Copyright information

© The National Academy of Sciences, India 2019

Authors and Affiliations

  1. 1.KırıkhanTurkey

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