The cyclologic center of 
with respect to 
for two cyclologic
triangles is the common point 
of the circles through 
, 
, and 
when they are concurrent.
The reciprocal point 
, meaning the counterpart obtained by interchanging the two
triangles, is defined by the circles
through 
,
, and 
. It is the cyclologic center of 
with respect to 
. The term "cyclologic center" is recorded
by Lozada (2025) and is defined in this form by Rabinowitz and Suppa (2026, p. 105).
