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The curve which is the Envelope of reflected rays.

Cardioid Cusp of Cardioid Nephroid
Circle not on Circumference Limaçon
Circle on Circumference Cardioid
Circle point at $\infty$ Nephroid
Cissoid of Diocles Focus Cardioid
one arch of a Cycloid rays Perpendicular axis two arches of a Cycloid
Deltoid point at infinity Astroid
$\ln x$ rays Parallel axis Catenary
Logarithmic Spiral Origin equal Logarithmic Spiral
Parabola rays Perpendicular axis Tschirnhausen Cubic
Quadrifolium center Astroid
Tschirnhausen Cubic Focus Semicubical Parabola

See also Caustic, Diacaustic


Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 60 and 207, 1972.

© 1996-9 Eric W. Weisstein