The Witch of Agnesi
What is the fascination with this famous curve? Can you deduce its construction? Can you find the equation which defines it?
Let P be the point (x, y) and the diameter of the circle be a. Let B be the point (t, y) - can you find the other points, and use these to find the function?
Use the point B to trace around the circle and so produce the curve.
Steve Arnold, 19/06/06, Created with GeoGebra