THE INVOLUTE-EVOLUTE OFFSETS OF RULED SURFACES

Document Type: Regular Paper

Authors

1 Ondokuz Mayis University, Science and Arts Faculty, Department of Mathematics, Kurupelit 55139, Samsun, Turkey

2 Yıldız Technical University, Faculty of Arts and Science, Department of Mathematics, Esenler, 34210, Istanbul, Turkey

3 University of Bahcesehir, Faculty of Arts and Science, Department of Mathematics and Computer Sciences, Besiktas, 34100, Istanbul, Turkey

Abstract

In this study, a generalization of the theory of involute-evolute curves is presented for ruled
surfaces based on line geometry. Using lines instead of points, two ruled surfaces which are offset in the sense
of involute-evolute are defined. Moreover, the found results are clarified using computer-aided examples

Keywords