A curtate epicycloid is a type of curve formed by a point that lies inside (but not at the center of) a circle as it rolls without slipping around the outside of another fixed circle.📐 Geometric DescriptionImagine:* A fixed circle of radius RR* A rolling circle of radius rr rolling around the outside of the fixed circle* A point P located inside the rolling circle at a distance d rd>r, it becomes a prolate epicycloid (longer, with loops)📚 Applications* Used in gear tooth design and camshaft pr