Publication: On the Construction of the Surface Family with a Common Involute Geodesic
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Abstract
In this study, we produce a surface family possessing an involute of a given curve as a geodesic. We find necessary and sufficient conditions for the given curve such that its involute is a geodesic on any member of the surface family. Also, we present important results for ruled and developable surfaces. Finally, we present two examples to support our results. © 2023, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.
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Source
Konuralp Journal of Mathematics
Volume
11
Issue
2
Start Page
162
End Page
168