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Project Description
The Cycloidal Curves Here are some definitions concerning the cycloidal family: Cycloids: this curved is described as the trajectory in 2D plane of a given circle point, when the circle rolls on a straight line. An extended or shortened cycloid is called trochoid. The parametric equations of a cycloid are: X = R.(T  sin(T)) Y = R.(1  cos(T)) Here we do not study these classical curves but their sisters: Epicycloid: this curved is described as the trajectory in 2D plane of a given circle point, when the circle rolls on an outter fixed circle. Hypocycloid: this curved is described as the trajectory in 2D plane of a given circle point, when the circle rolls on an inner fixed circle. An extended or shortened Epicycloid (Hypocycloid) is called Epitrochoid Hypotrochoid). 