Open Access
Original Articles
On Closed Ruled Surfaces Concerned with Dual Frenet and Bishop Frames
Ilkay Arslan GüvenIlkayarslan81@hotmail.ComDepartment of MathematicsAnkara UniversityTandogan, Ankara, 06100, TurkeyView full profile → , Semra Kayasemrakaya_gs@yahoo.comDepartment of MathematicsAnkara UniversityTandogan, Ankara, 06100, TurkeyView full profile → , H. Hİlmİ Hacisalİhoğluhacisali@science.ankara.edu.trDepartment of MathematicsAnkara UniversityTandogan, Ankara, 06100, TurkeyView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2011.10698593
- Pages:
- 67–74
Abstract
In this paper; the pitch, the angle of pitch and the dual angle of pitch of ruled surface in ℝ3 which is corresponded to a closed curve on dual unit sphere are investigated. This closed curve is formed by the vectors of Frenet and Bishop frame of a closed curve on dual unit sphere. Also the relation between dual angle of pitch and pitch, angle of pitch is obtained.
Subject Classifications
: PitchAngle of pitchBishop frameRuled surface
References
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