Stephen ARNOLD
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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?

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Use the point B to trace around the circle and so produce the curve.

Steve Arnold, 19/06/06, Created with GeoGebra