On Evolution of Some Associated Type Ruled Surfaces

Year 2020, Volume: 8 Issue: 2, 178 - 186, 15.10.2020

Alev Kelleci , Kemal Eren

https://doi.org/10.36753/mathenot.750639

Cited By: 4

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

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