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Witch of Agnesi

In mathematics, the Witch of Agnesi , sometimes called the "Witch of Maria Agnesi" is the curve defined as follows.

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 of Agnesi.

The curve is asymptotic to the line tangent to the fixed circle through the point O.

Usage examples of "witch of agnesi".

Jack Beston could not possibly have heard, but he was in a foul mood as The Witch of Agnesi pulled away from Odin Station for the return trip.