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curve of Agnesi
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(Definition)
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Given a real constant  , the curve of Agnesi (often called witch of Agnesi in English) is the result of plotting the equation
in the Cartesian plane. If we set
 , the equation simplifies to
 . Another way of drawing the curve employs a circle of radius .
In the following diagram, the associated circle is shown in light gray.
(This diagram was made with Grapher 1.1 for Mac OS X).
This curve was first studied by Pierre de Fermat, but Maria Gaetana Agnesi later studied it in greater detail and mentioned it in her book Instituzioni Analitiche.
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"curve of Agnesi" is owned by CompositeFan. [ full author list (2) ]
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(view preamble)
See Also: asymptote of Lamé's cubic
| Other names: |
Agnesi's curve, witch of Agnesi, Agnesi's witch, averisera, avversiera, cubique d'Agnesi, agnésienne, agnesienne |
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Cross-references: Maria Gaetana Agnesi, Pierre de Fermat, Grapher, diagram, radius, circle, curve, plane, equation, real
There are 2 references to this entry.
This is version 2 of curve of Agnesi, born on 2007-02-09, modified 2007-07-18.
Object id is 8892, canonical name is CurveOfAgnesi.
Accessed 3916 times total.
Classification:
| AMS MSC: | 51N20 (Geometry :: Analytic and descriptive geometry :: Euclidean analytic geometry) |
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Pending Errata and Addenda
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