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for more info--plz see-http://en.wikipedia.org/wiki/Cycloid
A cycloid is the curve defined by the path of a point on the edge of circular wheel as the wheel rolls along a straight line. It is an example of a roulette, a curve generated by a curve rolling on another curve.
x=r(t-sint)
y=r(1-cost)
wher t is a parameter
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