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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