On Generalized Euler Spirals in E^3

Details On Generalized Euler Spirals in E^3 On Generalized Euler Spirals in E^3

2012-01-31

arxiv.org/abs/1201.6528v1

Mathematics

Differential Geometry

11 Pages with 2 Figures

Scientific paper

The Cornu spirals on plane are the curves whose curvatures are linear. Generalized planar cornu spirals and Euler spirals in E^3, the curves whose curvatures are linear are defined in [1,5]. In this study, these curves are presented as the ratio of two rational linear functions. Also here, generalized Euler spirals in E^3 has been defined and given their some various characterizations. The approach I used in this paper is useful in understanding the role of Euler spirals in E^3 in differential geometry.

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