SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3

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Konuralp Journal of Mathematics
Volume:4 Issue:1
SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3

SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3

Authors : Semra Saracoglu ÇELİK, Yusuf YAYLI, Erhan GÜLER

Pages : 261-274

View : 39 | Download : 26

Publication Date : 2016-04-01

Article Type : Research Paper

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

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