If and
are distinct trilinear points, neither lying on a sideline
of the reference triangle
, then the crosssum of
and
is the point
It is the crosspoint of the isogonal conjugates of and
. Therefore,
is the isogonal conjugate of the
-cross conjugate of the isogonal conjugate of
, and
is the isogonal conjugate of the
-cross conjugate of the isogonal conjugate of
.