Cartesian equation: 3a y2 = x(x-a)2
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|
The name Tschirnhaus's cubic is given in R C Archibald's paper written in 1900 where he attempted to classify curves.
Tschirnhaus's cubic is the negative pedal of a parabola with respect to the focus of the parabola.
The caustic of Tschirnhaus's cubic where the radiant point is the pole is Neile's semi-cubic parabola .
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