Published May 2016
| public
Journal Article
A New Look at Surfaces of Constant Curvature
- Creators
- Apostol, Tom M.
- Mnatsakanian, Mamikon A.
Abstract
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.
Additional Information
© 2016 Mathematical Association of America.Additional details
- Eprint ID
- 70711
- DOI
- 10.4169/amer.math.monthly.123.5.439
- Resolver ID
- CaltechAUTHORS:20160930-143148171
- Created
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2016-09-30Created from EPrint's datestamp field
- Updated
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2021-11-11Created from EPrint's last_modified field