CYCLING CURVES AND THEIR APPLICATIONS

Abstract

This paper proposes an analysis of the cyclic curves that can be considered as some of the most important regarding their applications in science, technique, design, architecture and art. These curves include the following: cycloid, epicycloid, hypocycloid, spherical cycloid and special cases thereof. In the first part of the paper the main curves of cycloids family are presented with their methods of generating and setting parametric equations. In the last part some of cycloid applications are highlighted in different areas of science, technology and art.

Keywords

• Circle, cycloid, epicycloid, hypocycloid, arc, rolling, parameter, equation.