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Authors: Tai-Choon Yoon
Cycloid, semi-cycloid, elliptic cycloid, and elliptic semi-cycloid are all types of trochoids, and parts of roulette. They all refer to curves that trace their paths as they roll along a straight line, a circular orbit, or an elliptical orbit. Unlike cycloids, semi-cycloids are the curves traced by a point on a bicycle wheel as it rolls around the bicycle axle. Elliptic cycloids and elliptic semi-cycloids are the curves traced by ellipses as they roll along a straight line, but ellipses do not roll as smoothly as circles on a straight line. I also investigated the curves traced by circles and ellipses as they roll along circular or elliptical paths.
Comments: 15 Pages.
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[v1] 2024-12-09 21:22:33
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