## hypotrochoidA hypotrochoid is a curve formed by the path of a point attached to a point c, which
is not on the circumference, of circle of
radius b that rolls around the inside of a larger circle of radius a. The parametric equations for a hypotrochoid can be written as:
The hypotrochoid is a generalized hypocycloid and comes in two varieties: a prolate hypocycloid if the
starting point is outside the circumference of the rolling circle and a curtate hypocycloid if the starting point is inside the
rolling circle. In the same family of curves as the hypotrochoid (and hypocycloid)
are the epicycloid and epitrochoid.## Related category• PLANE CURVES | |||||

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