Open AccessSweeping surface of center curve on surface in Euclidean 3-space E³
Author(s) -
Rashad A. Abdel-Baky,
Fatemah Mofarreh
Publication year - 2021
Publication title -
wseas transactions on mathematics
Language(s) - English
Resource type - Journals
eISSN - 2224-2880
pISSN - 1109-2769
DOI - 10.37394/23206.2021.20.24
Subject(s) - surface (topology) , ruled surface , frame (networking) , developable surface , euclidean geometry , mathematics , center (category theory) , space (punctuation) , geometry , euclidean space , mathematical analysis , moving frame , space frame , computer science , physics , crystallography , chemistry , telecommunications , operating system , thermodynamics
For the curve on the regular surface, there is moving frame with this thatis named Darboux frame. Sweeping surfaces through the curve associated with Darboux frame are introduced and their geometrical properties are investigated. Moreover, we obtain the necessary and sufficient conditions of this kind of surfaces to be developable ruled surfaces. Finally, an example to illustrate the application of the results is introduced.