The catacaustic of a cardioid for a radiant point along the -axis is complicated function of .
For
(i.e., with radiant point at the cusp),
however, the catacaustic for the cardioid
given parametrically as
reduces to the nephroid
illustrated above.
See also
Cardioid,
Catacaustic
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References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, p. 207, 1972.Referenced
on Wolfram|Alpha
Cardioid Catacaustic
Cite this as:
Weisstein, Eric W. "Cardioid Catacaustic."
From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/CardioidCatacaustic.html
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