For an ellipse given by the parametric
equations

the catacaustic is a complicated expression for generic radiant point . However, it simplifies for a number of special cases
to

for (0, 0),

for ,
and

for .

## See also

Catacaustic,

Ellipse
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## Cite this as:

Weisstein, Eric W. "Ellipse Catacaustic."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/EllipseCatacaustic.html

## Subject classifications