Erased triangle II

In the first problem of erased triangle, the triangle was equilateral. Here it is any triangle.
Of course there are infinitely many solutions, but I beware of that before the wind blow !
That is, I drew on the sand any triangle, and placed a black stone anywhere on each side [or extensions].
I also drew the circumcircle and put three white stones anywhere on it.
The next day, the wind has blown away my drawing, leaving just the stones.
Find back the triangle I had drawn.
Hint
Details

Note : this is the problem of Cramer-Castillon :
To construct a triangle inscribed in a circle, and whose sides go through three given points.

 

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