Affiliation:
1. Celal Bayar University
2. Gazi University
Abstract
In this study, we give the dual characterizations of Mannheim offsets of ruled surfaces in terms of their integral invariants and obtain a new characterization of the Mannheim offsets of developable surface, i.e., we show that the striction lines of developable Mannheim offset surfaces are Mannheim partner curves. Furthermore, we obtain the relationships between the area of projections of spherical images for Mannheim offsets of ruled surfaces and their integral invariants.
Publisher
Sociedade Paranaense de Matematica
Reference14 articles.
1. 1. Farouki, R.T., The approximation of non-degenerate offset surfaces, Comp. Aided Geom. Design, 3 (1986) 15-43.
2. 2. Gürsoy O., On the integral invariants of a closed ruled surface, Journal of Geometry, 39 (1990) 80-91.
3. 3. Gürsoy O., Some results on closed ruled surface and closed space curves, Mech. Mach. Theory, 27 (2.3) (1992) 323-330.
4. 4. Gürsoy O., Küçük, A., On the invariants of trajectory surfaces, Mech. Mach. Theory, 34 (2.4) (1998) 587-597.
5. 5. Hacisalihoglu. H.H., Hareket Gometrisi ve Kuaterniyonlar Teorisi, Gazi Üniversitesi Fen-Edb. Fakültesi, (1983).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献