Some results and characterizations for Mannheim offsets of the ruled surfaces

Résumé

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.

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Bibliographies de l'auteur

Mehmet Önder, Celal Bayar University

Department of Mathematics

H. Hüseyin Uğurlu, Gazi University

Department of Secondary Education Science and Mathematics Teaching

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Publiée
2015-01-05
Rubrique
Articles