Let
and
be points, neither of which lies on a sideline of , given in barycentric
coordinates by and . The -reciprocal conjugate of is then the point
in barycentric coordinates.
The term "reciprocal conjugate" was introduced in Dean and van Lamoen (2001).
Confusingly, the term has sometimes also been used to mean isoconjugation.
and 
be points, neither of which lies on a sideline of 
, given in barycentric
coordinates by 
and 
. The 
-reciprocal conjugate of 
is then the point
