Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3

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Simultaneous Developability of Partner Ruled Surfaces according to Darboux Frame in E3

Ouarab, Soukaina

Abstract and applied analysis, 2021, Volume: 2021

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In this paper, we introduce original definitions of Partner ruled surfaces according to the Darboux frame of a curve lying on an arbitrary regular surface in E3. It concerns Tg Partner ruled surfaces, Tn Partner ruled surfaces, and gn Partner ruled surfaces. We aim to study the simultaneous developability conditions of each couple of two Partner ruled surfaces. Finally, we give an illustrative example for our study.

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Ouarab, Soukaina

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