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Original Articles
Homothetic Motion of Submanifolds on the Plane in E3
Yilmaz Tunçerytunceraku@hotmail.comUsak University Science & ArtFac. Math. Dept, Usak, TurkeyView full profile → , M. Kemal SağelUsak University Science & ArtFac. Math. Dept, Usak, TurkeyView full profile → , Yusuf YayliUsak University Science & ArtFac. Math. Dept, Usak, TurkeyView full profile →
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- Received:
- 29 Nov 2006
- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2007.10698524
- Pages:
- 57–64
Abstract
In this study, we obtained an equation of homothetic motion of any regular surface M on its tangent plane at the contact points, along pole curves which are trajectories of instantaneous rotation centers and we gave some remarks for the homothetic motions will be both sliding and rolling at every moments. In addition, we establish a suprising relationship between curvatures of the moving and fixed pole curves.
Keywords
References
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