SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3

Authors : Semra Saracoglu Çelik, Yusuf Yayli, Erhan Güler

Pages : 261-274

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Publication Date : 2016-04-15

Article Type : Research

Abstract :In this study, some characterizations of Euler spirals in E3 1 have been presented by using their main property that their curvatures are linear. Moreover, discussing some properties of Bertrand curves and helices, the relationship between these special curves in E3 1 have been investigated with di erent theorems and examples. The approach we used in this paper is useful in understanding the role of Euler spirals in E3 1 in di erential geometry.
Keywords : Curvature, Cornu spiral, Bertrand curve pair