Definition:Kampyle of Eudoxus
Definition
Separate pages for Cartesian and Polar equations
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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:
- $r = \sec^2 \theta$
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Source of Name
This entry was named for Eudoxus of Cnidus.
Historical Note
The kampyle of Eudoxus was used by Eudoxus of Cnidus in his work relating to the problem of Doubling the Cube.
Linguistic Note
The word kampyle comes from the Greek καμπύλη (pronounced kam-pill-ee), meaning curve.