Rashad A. Abdel-Baky, Fatemah Mofarreh, "Sweeping Surface of Center Curve on Surface in Euclidean 3-space E³," WSEAS Transactions on Mathematics, vol. 20, pp. 235-243, 2021, DOI:10.37394/23206.2021.20.24
Rashad A. Abdel-Baky, Fatemah Mofarreh. Sweeping Surface of Center Curve on Surface in Euclidean 3-space E³.
WSEAS Transactions on Mathematics. 2021;20:235-243. 10.37394/23206.2021.20.24
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 20, 2021
Sweeping Surface of Center Curve on Surface in Euclidean 3-space E³
Authors: ,
Abstract: 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.
Pages: 235-243 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 20, 2021, Art. #24 DOI: 10.37394/23206.2021.20.24
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