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- Cycloid curves
- Madsen, Sean
- Calculus and Analytic Geometry
- The curve traced out by a point on the rim of a circle rolling along a straight line is called a cycloid. Let the radius of the circle be . Allowing the tracing point to be either within or without the circle at a distance b from the center generates "curtate" or "prolate" cycloids, respectively. The variable ratio is b/a, limited to the range [0, 2]. For ratio = 0, the result is a straight horizontal line. For 0<ratio<1, the curve is a curtate cycloid. For ratio=1, it is an ordinary cycloid. For 1<ratio<2 or ratio=2, it is a prolate cycloid. Note that ratio>2 is allowable but not used here
- Componente Curricular::Educação Superior::Ciências Exatas e da Terra::Matemática
- Wolfram Demonstration Project
- Educação Superior::Ciências Exatas e da Terra::Matemática::Geometria e Topologia
- This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
- Demonstration freeware using Mathematica Player
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