On Generalized Euler Spirals in E^3
Differential Geometry
2012-02-01 v1
Abstract
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.
Cite
@article{arxiv.1201.6528,
title = {On Generalized Euler Spirals in E^3},
author = {Semra Saracoglu},
journal= {arXiv preprint arXiv:1201.6528},
year = {2012}
}
Comments
11 Pages with 2 Figures