Suppose a line
meets sidelines
,
,
and
in points
,
,
and
,
respectively. Let
be the reflection of
about the midpoint of segment
, and construct
and
similarly. Then
,
, and
are collinear in a line known as the isotomic transversal
of
(Kimberling 1998, p. 150).
An isotomic transversal is sometimes referred to as an isotomic conjugate (Ehrmann and van Lamoen 2004).