An explicit characterization of dual spherical curve

Authors : R A Abdel BAKY

Pages : 0-0

Doi:10.1501/Commua1_0000000356

View : 21 | Download : 14

Publication Date : 2002-01-01

Article Type : Research Paper

Abstract :In this paper, a differential equation characterizing the dual spherical curves and an explicit solution of this differential equation is given. Without the precondition on the dual torsion, which is the torsion is nowhere zero, a necessary and sufficient condition for a dual curve to be spherical curve is given. Finally, the dual spherical version of the planar evolute in plane kinematics is presented.
Keywords : explicit, characterization, spherical