ON MEUSNIER THEOREM FOR PARALLEL SURFACES

Authors : Ziya Ümit SAVCI, Ali GÖRGÜLÜ, Cumali EKİCİ

Pages : 187-198

Doi:10.1501/Commua1_0000000788

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Publication Date : 2017-02-01

Article Type : Research Paper

Abstract :In this paper, the geodesic curvature, the normal curvature, thegeodesic torsion and the curvature of the image curve on a parallel surfaceof a given curve on a surface are obtained. Moreover, Meusnier theorem forparallel surfaces are discussed
Keywords : Parallel surface, geodesic curvature, normal curvature, geodesic torsion, Meusnier theorem