A New Method to Obtain PH-Helical Curves in E^(n+1)

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Journal of New Theory
Issue:37
A New Method to Obtain PH-Helical Curves in E^(n+1)

A New Method to Obtain PH-Helical Curves in E^(n+1)

Authors : Ahmet MOLLAOĞULLARI, Mehmet GÜMÜŞ, Kazım İLARSLAN, Çetin CAMCI

Pages : 45-57

Doi:10.53570/jnt.1027564

View : 18 | Download : 14

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :Helical curves are constructed by the property that their unit tangents make a constant angle with a chosen constant direction. There are relations between polynomial planar curves, helices and Pythagorean-hodograph or shortly PH-curves. The aim of this paper is to obtain a method which generate PH-curves and PH-helical curves from a planar curve in Euclidean Space E^insert ignore into journalissuearticles values(n+1);. Furthermore, some examples are given in E^4 and E^5 to explain the method neatly.
Keywords : PH curve, helical curve, PH helical curve, planar curve, polynomial curve

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