Given a point 
in the interior of a triangle 
, draw the cevians
through 
from each polygon vertex which meet the opposite
sides at 
,
, and 
. Now, mark off point 
along side 
such that 
, etc., i.e., so that 
and 
are equidistance from the midpoint
of 
.
The lines 
,
, and 
then coincide in a point 
known as the isotomic conjugate.
