In this paper, Cyclic surfaces are introduced using the foliation of circles of curvature of a space curve. The conditions on a space curve such that these cyclic surfaces are of type Weingarten surfaces or HKquadric surfaces are obtained. Finally, some examples are given and plotted.
(2017). Introducing Weingarten cyclic surfaces in R3. Journal of the Egyptian Mathematical Society, 25(1), 48-52. doi: http://dx.doi.org/10.1016/j.joems.2016.06.001
MLA
. "Introducing Weingarten cyclic surfaces in R3". Journal of the Egyptian Mathematical Society, 25, 1, 2017, 48-52. doi: http://dx.doi.org/10.1016/j.joems.2016.06.001
HARVARD
(2017). 'Introducing Weingarten cyclic surfaces in R3', Journal of the Egyptian Mathematical Society, 25(1), pp. 48-52. doi: http://dx.doi.org/10.1016/j.joems.2016.06.001
VANCOUVER
Introducing Weingarten cyclic surfaces in R3. Journal of the Egyptian Mathematical Society, 2017; 25(1): 48-52. doi: http://dx.doi.org/10.1016/j.joems.2016.06.001
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