An explicit characterization of dual spherical curve

Autor: R. A. Abdel Baky
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