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DOI：10.26855/jamc.2019.06.002

Date: July 17,2019 Hits: 324

Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve has attracted much interest. In the present paper, we propose a new method to construct a surface interpolating a given curve as the asymptotic curve of it. Also, we analyze the conditions when the resulting surface is a ruled surface. Furthermore, we prove that there exists no developable surface possessing a given curve as an asymptotic curve except plane. Finally, we illustrate this method by presenting some examples.

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Fatma Güler, Gülnur Şaffak Atalay, Ergin Bayram

Emin Kasap Ondokuz Mayıs University, Arts and Science Faculty, Department of Mathematics, 55139, Samsun, Turkey

Email: f.guler@omu.edu.tr

DOI: 10.26855/jamc.2019.06.002

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