Cardioid constructions, various

Explore various methods for constructing a cardioid.[br]Toggle each of the 4 check boxes, read the brief descriptions, and study each construction method.[br]In each case, let your eye follow point [color=#ff00ff]A[/color] along a cardioid-shaped path.[br][br]Use "animate" button and "speed" slider to control animation.[br]Try out the "trace" and "cardioid" check boxes to make the cardioid appear on screen.[br]Notice that some geometry is shared between multiple construction methods.

Information: Cardioid constructions, various