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A cycloid is a curve that is used in many stereological techniques due to the properties of the curve. Normally the curve is described by its parametric equations which are: x = a(t-sin t), y = a(1-cos t) If a circle is rolled along a straight line, a point on the circle traces out a cycloid. The cycloid is a periodic function with a period equal to the circumference of the circle, which according to the parametric equations is 2pi a. The maximum height of the cycloid is 2a. ...
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