In mathematics, the witch of Agnesi (Italian pronunciation: [aɲ.ˈɲe.si, -ɛ.zi]),[1] sometimes called the witch of Maria Agnesi is the curve defined as follows.
The Witch of Agnesi with labeled points
Starting with a fixed circle, a point O on the circle is chosen. For any other point A on the circle, the secant line OA is drawn. The point M is diametrically opposite to O. The line OA intersects the tangent of M at the point N. The line parallel to OM through N, and the line perpendicular to OM through A intersect at P. As the point A is varied, the path of P is the witch.
The curve is asymptotic to the line tangent to the fixed circle through the point O.
