Properties of Elliptic Cycloids
Abstract
Given an ellipse rolling along a straight line without slipping and a point P on the ellipse, we will determine the shape of the elliptic cycloid traced by P as the ellipse rolls and compute the area under one arch of the elliptic cycloid. We also investigate the arc length, though we are only able to express it as an integral.
Fields of Study & Subjects
Mathematics and Applications
Advanced Differential Geometry Research
Mathematical and Computational Methods
Publication details
- Journal / source
- Geometry
- Volume
- 3
- Issue
- 1
- Pages
- 4–4
- Publication date
- 9 February 2026
- Language
- EN