PROLATE CYCLOID

"A prolate cycloid is a curve traced by a point on the circumference of a circle as it rolls along a straight line."

"The equation that describes a prolate cycloid is x = a(t-sin(t)), y = a(1-cos(t))."

"A prolate cycloid is a special case of a trochoid where the radius of the generating circle is greater than the radius of the fixed circle."

"The prolate cycloid has a cusp at its highest point."

"A prolate cycloid can be represented parametrically by the equations x = a(t-sin(t)), y = a(1-cos(t))."