An explicit characterization of dual spherical curve
Autor: | R. A. Abdel Baky |
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Rok vydání: | 2002 |
Předmět: | |
Zdroj: | Volume: 51, Issue: 02 Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics |
ISSN: | 1303-5991 2618-6470 |
DOI: | 10.1501/commua1_0000000356 |
Popis: | 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. |
Databáze: | OpenAIRE |
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