\begin{definition}[Definition:Kampyle of Eudoxus]
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{{refactor|Separate pages for Cartesian and Polar equations}}
The '''Kampyle of Eudoxus''' has the Cartesian equation:
:$x^4 = x^2 + y^2$
where the point $x = y = 0$ is specifically excluded.
In polar coordinates, it is described by the equation:
:$r = \sec^2 \theta$
{{stub}}
{{NamedforDef|Eudoxus of Cnidus|cat = Eudoxus}}
\end{definition}