# Cassini Ovals

Cassini Ovals

This Demonstration shows the family of Cassini ovals (or Cassini ellipses). These curves are traced by a point such that the product of its distances from two fixed points a distance apart is a constant .

2a

2

b

The shape depends on . If , the curve is a single loop. The case produces a lemniscate. If , then the curve consists of two loops.

b/a

a<b

a=b

a>b