Kampyle of Eudoxus

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Graph of Kampyle of Eudoxus
Graph of Kampyle of Eudoxus

The Kampyle of Eudoxus (Greek: καμπύλη [γραμμή], meaning simply "curved [line], curve") is a curve, with a Cartesian equation of

x^4=x^2+y^2\,,

or, in polar coordinates,

r= \sec^2\theta\,.

This quartic curve was studied by the Greek astronomer and mathematician Eudoxus of Cnidus (c. 408 BC – c.347 BC) in relation to the classical problem of doubling the cube.

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