A cycloid is the curve traced by a point on the rim of a circular wheel as the wheel rolls along a straight line without slippage.
The cycloid through the origin, generated by a circle of radius r, consists of the points (x, y), with
[color=#1551b5]x=r(t-sent)
y=r(1-cost)[/color]
where t is a real parameter, corresponding to the angle through which the rolling circle has rotated, measured in radians.
