Year: 2026
Type: article
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.
Source: Geometry
Authors: Matthew A. Pons, Nicholas D. White
Institution: North Central College
Language: English
Topic: Mathematics and Applications
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,207
Funder: National Science Foundation
OpenAlex ID: W7128361293
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