Parametric Cartesian equation:
x = (a2 + f2sin2(t))cos(t)/a, y = (a2 - 2f2 + f2sin2(t))sin(t)/b
Click below to see one of the Associated curves.
|Definitions of the Associated curves||Evolute|
|Involute 1||Involute 2|
|Inverse curve wrt origin||Inverse wrt another circle|
|Pedal curve wrt origin||Pedal wrt another point|
|Negative pedal curve wrt origin||Negative pedal wrt another point|
|Caustic wrt horizontal rays||Caustic curve wrt another point|
Talbot's curve is the negative pedal of an ellipse with respect to its centre. It has four cusps and two nodes provided the square of the eccentricity of the ellipse is greater than 1/2.
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