CYCLING CURVES AND THEIR APPLICATIONS

Authors

  • Lucian Raicu University POLITEHNICA of Bucharest
  • Ana Maria Mihaela Rugescu University POLITEHNICA of Bucharest

Keywords:

circle, cycloid, epicycloid, hypocycloid, arc, rolling, parameter, equation

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.

Downloads

Download data is not yet available.

References

Gellert, W., (1980), Mica enciclopedie matematica,

Editura Tehnica, Bucuresti.

Henderson, D. W., Taimina, D., Spherical Cycloids

and Involutes, http://kmoddl.library.cornell.edu/

Accessed: 2015-03-01.

Ionescu, D., (1984), Teoria diferentiala a curbelor si

suprafetelor cu aplicatii tehnice, Editura Dacia,

Cluj-Napoca.

Raicu, L., Vasilescu, I., Marin, Gh, (2013), Geometria

-o componenta grafica a matematicii, Editura

Printech, ISBN 978-606-23-0123-1, Bucuresti.

http://www.mathcurve.com/courbes3d/cycloidspheric

Accessed: 2015-03-01

Downloads

Published

2015-06-11

Issue

Vol. 10 No. 2 (2015): Special Issue

Section

Applied Geometry and Graphics

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.