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单词 CurveOfAgnesi
释义

curve of Agnesi


Given a real constant c, the curve of Agnesi (often called witch of Agnesi in English) is the result of plotting the equation

y=8c4c2+x2

in the Cartesian plane. If we set c=12, the equation simplifies to y=11+x2. Another way of drawing the curve employs a circle of radius c.

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.

Titlecurve of Agnesi
Canonical nameCurveOfAgnesi
Date of creation2013-03-22 16:40:56
Last modified on2013-03-22 16:40:56
OwnerCompositeFan (12809)
Last modified byCompositeFan (12809)
Numerical id5
AuthorCompositeFan (12809)
Entry typeDefinition
Classificationmsc 51N20
SynonymAgnesi’s curve
Synonymwitch of Agnesi
SynonymAgnesi’s witch
Synonymaverisera
Synonymavversiera
Synonymcubique d’Agnesi
Synonymagnésienne
Synonymagnesienne
Related topicAsymptoteOfLamesCubic
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更新时间:2025/5/4 13:03:58