On Evolution of Some Associated Type Ruled Surfaces

Authors : Alev Kelleci, Kemal Eren

Pages : 178-186

Doi:10.36753/mathenot.750639

View : 9 | Download : 6

Publication Date : 2020-10-15

Article Type : Research

Abstract :In this study, we define three new type ruled surfaces obtained by using the evolution of involute-evolute curve pair in Euclidean 3-space. Then, we give some nice results for the Gaussian curvature and the mean curvature of these surfaces. Moreover, considering the given involute-evolute curve pair, the graphics of these new type surfaces were drawn with the help of Mathematica.
Keywords : Ruled surface, evolution of space curve, involute-evolute curve pair, Moving surface