Category:Ovals of Cassini

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This category contains results about Ovals of Cassini.
Definitions specific to this category can be found in Definitions/Ovals of Cassini.

Let $P_1$ and $P_2$ be points in the plane such that $P_1 P_2 = 2 a$ for some constant $a$.

The ovals of Cassini are the loci of points $M$ in the plane such that:

$P_1 M \times P_2 M = b^2$

for a real constant $b$.