Droussent cubic K(008)

Here we have triangle

and Droussent cubic the black one on the figure and we take point

on it. After that we cojugate this point isogonal and we get point

. By using GeoGebra we get another cubic the blue one on the figure which is isogonal transform of Droussent cubic.

Barycentric equation

We again substitude

and

with

and

And this is the equation of the K108 cubic which means that Droussent cubic is isogonal transform of K108.