# Witch of Agnesi

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The so-called "witch of Agnesi" is the red curve in the image. If the blue circle has radius , let P be a point on the upper purple line . The red point has the same coordinate as P. Its coordinate has the value of the intersection of the circle with the line connecting P with the base of the circle. The curve was studied in the mid-eighteenth century by the Italian mathematician Maria Agnesi. The label "witch" comes from a mistranslation of her work.

Contributed by: Chris Boucher (March 2011)

Based on work by: Eric W. Weisstein

Open content licensed under CC BY-NC-SA

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"Witch of Agnesi"

http://demonstrations.wolfram.com/WitchOfAgnesi/

Wolfram Demonstrations Project

Published: March 7 2011