Original scientific paper

Sectrix Curves on the Sphere

László Németh ; Institute of Mathematics, University of West Hungary, Sopron, Hungary

Abstract

In this paper we introduce a class of curves derived from a geometrical construction. These planar curves are the generalization of the less-known sectrix of Ceva. We also present three variations of the sectrix curves on the sphere with using the geometrical construction on the sphere, with the stereographic projection and with a so-called ''rolled" transformation.

Keywords

sectrix; folium; Chebyshev polynomial; curves on sphere

Hrčak ID:

151336

URI

https://hrcak.srce.hr/151336

Publication date:

19.1.2016.

Article data in other languages: croatian

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