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Published May 2016 | metadata_only
Journal Article

A New Look at Surfaces of Constant Curvature


Equality of zonal areas on a sphere and pseudosphere is extended by elementary geometric methods to surfaces of revolution of constant total (Gaussian) curvature, and constant mean (Delaunay) curvature. Bicycle wheels are used to trace profiles of these surfaces. Surprisingly, cycloids appear as limiting cases of such profiles.

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© 2016 Mathematical Association of America.

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August 20, 2023
August 20, 2023