The CYCLOID is traced by a point on the circumference of a circle which ROLLS without slipping over a straight line.

1.What are the parametric equations of a CYCLOID ?[br]2. What if the generating line is shifted above the circle ? What changes are to be made in the Parametric equations in that case ?[br]3. Also if the Cycloid is to have a phase shift , how would its equation change in that case ?