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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | January 1, 2002 |
Submission Date | January 1, 2002 |
Published in Issue | Year 2002 Volume: 51 Issue: 02 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
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