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arXiv · 1701.04812

Construction of curve pairs and their applications

Mehmet Önder
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Abstract

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.

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Mehmet Önder. 2017-01-09. Construction of curve pairs and their applications. https://arxiv.org/abs/1701.04812

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