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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

\begin{displaymath}
bc(ca+ab-bc):ca(ab+bc-ca):ab(bc+ca-ab).
\end{displaymath}


References

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




© 1996-9 Eric W. Weisstein
1999-05-25