Generalized Cassini Curves

Generalized Cassini curves are defined by

(z-

z

1

)(z-

z

2

)⋯(z-

z

n

)=k>0

; that is, the locus of a point

z

such that the product of distances of

z

from a set of points

z

i

is

k

. Use Alt+click (or Command+click on Mac) to create or delete a locator at the point

z

i

. For

n=2

, this reduces to a Cassini oval.

Marko Razpet, Izidor Hafner