SOME CHARACTERIZATIONS OF EULER SPIRALS IN E3

Year 2016, Volume: 4 Issue: 1, 261 - 274, 01.04.2016

Semra Saracoglu Çelik Yusuf Yaylı , Erhan Güler

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

References

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