If  and 
 are distinct trilinear points, neither lying on a sideline
 of the reference triangle 
, then the crosspoint of 
 and 
 is the point
Let  be the Cevian
 triangle of 
 and 
 the Cevian
 triangle of 
.
 Let 
,
 and define 
 and 
 cyclically. Then 
 is the perspector of triangles
 
 and 
.
 is the 
-cross conjugate of 
 and 
 is the 
-cross conjugate of 
.