A New Method to Obtain PH-Helical Curves in E^(n+1)
Authors : Ahmet Mollaoğullari, Mehmet Gümüş, Kazım Ilarslan, Çetin Camci
Pages : 45-57
Doi:10.53570/jnt.1027564
View : 14 | Download : 6
Publication Date : 2021-12-31
Article Type : Research
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^(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