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Please use this identifier to cite or link to this item: http://acervodigital.unesp.br/handle/unesp/360941
Title: 
Cycloid curves
Author(s): 
Madsen, Sean
Language: 
eng
Description: 
  • 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
Issue Date: 
  • 19-Sep-2008
  • 19-Sep-2008
  • 2008
  • 19-Sep-2008
  • 15-Sep-2008
Publisher: 
Wolfram Demonstration Project
Keywords: 
  • Cycloid
  • Curves
  • Educação Superior::Ciências Exatas e da Terra::Matemática::Geometria e Topologia
Credits: 
This demonstration needs the "MathematicaPlayer.exe" to run. Found in http://objetoseducacionais2.mec.gov.br/handle/mec/4737
Source: 
http://objetoseducacionais2.mec.gov.br/handle/mec/5505
URI: 
http://acervodigital.unesp.br/handle/unesp/360941
Rights: 
Demonstration freeware using Mathematica Player
Type: 
outro
Appears in Collections:MEC - Objetos Educacionais (BIOE) - OE

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