Let
and
be distinct points, neither lying on a side line of the reference
triangle
.
Then the
-cross
conjugate of
is the point
Let
be the Cevian triangle of
, let
be the intersection of lines
and
, and define
and
cyclically so that
is the Cevian
triangle in
of
.
Then the perspector of triangles
and
is the
-cross conjugate of
.