Equal Parallelians Point

The point of intersection of the three Line Segments, each parallel to one side of a Triangle and touching the other two, such that all three segments are of the same length. The Trilinear Coordinates are

$$bc(ca+ab-bc):ca(ab+bc-ca):ab(bc+ca-ab).$$

References

Kimberling, C. ``Equal Parallelians Point.'' http://cedar.evansville.edu/~ck6/tcenters/recent/eqparal.html.