Software
Cycloid curves
Autor
Madsen, Sean
Resumen
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