The first Napoleon point N1 of a triangle ABC is the perspective center between ABC and the triangle having as vertices the centers of the outer Fermat triangles of ABC (also called the outer Napoleon triangle of ABC).
The second Napoleon point N2 of a triangle ABC is the perspective center between ABC and the triangle having as vertices the centers of the inner Fermat triangles of ABC (also called the inner Napoleon triangle of ABC).
They are the points X(17) and X(18) in ETC.