The trilinear pole of the orthotransversal of a point is called its orthocorrespondent.

The orthocorrespondent of a point is given by

where , , and is Conway triangle notation.

In general, there are two (not necessarily real) points sharing the same orthocorrespondent. These points are inverse in the polar circle. However, all points at infinity have the triangle centroid as their orthocorrespondent.

The following table gives the orthocorrespondents of finite Kimberling centers whose orthocorrespondents are also Kimberling centers.

center | orthocorrespondent | ||

incenter | isogonal conjugate of | ||

triangle centroid | orthocorrespondent of | ||

circumcenter | orthocorrespondent of | ||

nine-point center | orthocorrespondent of | ||

symmedian point | orthocorrespondent of | ||

Gergonne point | orthocorrespondent of | ||

Nagel point | orthocorrespondent of | ||

mittenpunkt | orthocorrespondent of | ||

Spieker center | orthocorrespondent of | ||

Feuerbach point | trilinear pole of line | ||

first Fermat point | first Fermat point | ||

second Fermat point | second Fermat point | ||

first isodynamic point | isogonal conjugate of | ||

second isodynamic point | isogonal conjugate of | ||

Clawson point | orthocorrespondent of | ||

third power point | orthocorrespondent of | ||

perspector of the orthic and intangents triangles | orthocorrespondent of | ||

inverse-in-circumcircle of incenter | orthocorrespondent of | ||

isogonal conjugate of | orthocorrespondent of | ||

isogonal conjugate of | orthocorrespondent of | ||

reflection of incenter in Feuerbach point | orthocorrespondent of | ||

Tarry point | -Hirst inverse of | ||

anticomplement of Feuerbach point | orthocorrespondent of | ||

psi(incenter, symmedian point) | orthocorrespondent of | ||

antipode of | inverse Mimosa transform of | ||

lambda(incenter, symmedian point) | inverse Mimosa transform of | ||

lambda(incenter, triangle centroid) | inverse Mimosa transform of | ||

psi(symmedian point, orthocenter) | trilinear pole of Euler line | ||

psi(circumcenter, orthocenter) | trilinear pole of line | ||

psi(incenter, circumcenter) | inverse Mimosa transform of | ||

Parry point | isogonal conjugate of | ||

psi(orthocenter, symmedian point) | focus of Kiepert parabola | ||

Jerabek antipode | Dc() | ||

Kiepert antipode | Dc() | ||

Kiepert center | focus of Kiepert parabola | ||

midpoint of and | Dc() | ||

midpoint of and | Dc() | ||

Feuerbach antipode | Dc() | ||

-of-medial triangle | Dc() | ||

Jerabek center | trilinear pole of Euler line | ||

-of-orthic triangle | -Hirst inverse of | ||

inverse-in-circumcircle of | orthocorrespondent of | ||

-line conjugate of | orthocorrespondent of | ||

of the orthic triangle | orthocorrespondent of | ||

-line conjugate of | orthocorrespondent of | ||

isogonal conjugate of | Dc() | ||

-cross conjugate of | Dc() | ||

Collings transform of | Dc() | ||

orthojoin of | isogonal conjugate of | ||

orthojoin of | trilinear pole of line | ||

Mimosa transform of | isogonal conjugate of | ||

Zosma transform of | orthocorrespondent of | ||

Zosma transform of | orthocorrespondent of |