**Cartesian equation: **

*y*^{4} - *x*^{4} + *a* *y*^{2} + *b* *x*^{2} = 0

**Polar equation** (Special case):

*r* = √[(25 - 24tan^{2}(*θ*))/(1 - tan^{2}(*θ*))]

**Click below to see one of the Associated curves.**

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The Devil's Curve was studied by Gabriel Cramer in 1750 and Lacroix in 1810. It appears in

Cramer (1704-1752) was a Swiss mathematician. He became professor of mathematics at Geneva and wrote on work related to physics; also on geometry and the history of mathematics. He is best known for his work on determinants (1750) but also made contributions to the study of algebraic curves (1750).

JOC/EFR/BS January 1997

The URL of this page is:

http://www-history.mcs.st-andrews.ac.uk/Curves/Devils.html