The Bevan point V of a triangle ABC is
the circumcenter V of the excentral triangle DEF. Also, V is the
point of concurrence of the perpendiculars from the excenters to the
respective sides.
Benjamin Bevan, an English civil engineer proposed this theorem in
the Proceedings of the Edinburgh Mathematical Society: Leybourn's
Mathematical Repository, new series, I. 18 (pagination of the
Questions to be answered).
The proof of Bevan's theorem given in the Mathematical Repository
Vol. I., Part I., p. 143, is by John Butterworth of Haggate.
