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Scarabaeus Curve

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Scarabaeus

The Scarabaeus curve is a sextic curve given by the equation

(x^2+y^2)(x^2+y^2+ax)^2-b^2(x^2-y^2)^2=0

and by the polar equation

r=bcos(2theta)-acostheta

where a,b!=0.

This entry contributed by Margherita Barile

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References

Shikin, E. V. Handbook and Atlas of Curves. Boca Raton, FL: CRC Press, pp. 308-311, 1995.

Cite this as:

Barile, Margherita. "Scarabaeus Curve." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/ScarabaeusCurve.html

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