**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.**

Click THIS LINK to experiment interactively with this curve and its associated curves.

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).

Main index | Famous curves index |

Previous curve | Next curve |

JOC/EFR/BS January 1997

The URL of this page is:

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