High Quality Content by WIKIPEDIA articles! In mathematics, the witch of Agnesi, sometimes called the witch of Maria Agnesi (named for 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 O. The line OA intersects the tangent at 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.

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