Catacaustic
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  | Nephroid |
| Cissoid of Diocles | Focus | Cardioid |
| one arch of a Cycloid | rays Perpendicular axis | two arches of a Cycloid |
| Deltoid | point at infinity | Astroid |
 | rays Parallel axis | Catenary |
| Logarithmic Spiral | Origin | equal Logarithmic Spiral |
| Parabola | rays Perpendicular axis | Tschirnhausen Cubic |
| Quadrifolium | center | Astroid |
| Tschirnhausen Cubic | Focus | Semicubical Parabola |
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, pp. 60 and 207, 1972.
- Circle Evolute
- Circle Inscribing
- Circle Involute
- Circle Involute Pedal Curve
- Circle Lattice Points
- Circle Lattice Theorem
- Circle Map
- Circle Method
- Circle Negative Pedal Curve
- Circle Notation
- Circle Order
- Circle Orthotomic
- Circle Packing
- Circle Pedal Curve
- Circle-Point Midpoint Theorem
- Circle Radial Curve
- Circles-and-Squares Fractal
- Circle Squaring
- Circle Strophoid
- Circle Tangents
- Circuit
- Circuit Rank
- Circulant Determinant
- Circulant Graph
- Circulant Matrix