Category:Definitions/Witch of Agnesi

This category contains definitions related to Witch of Agnesi.
Related results can be found in Category:Witch of Agnesi.

Let $OAM$ be a circle of radius $a$ whose center is at $\tuple {0, a}$.

Let $M$ be the point such that $OM$ is a diameter of $OAM$.

Let $OA$ be extended to cut the tangent to the circle through $M$ at $N$.

Generate $NP$ perpendicular to $MN$ and $AP$ parallel to $MN$.

As $A$ moves around the circle $OAM$, the point $P$ traces the curve known as the witch of Agnesi.