The Bevan point V of a triangle Δ A B C is the circumcenter of the excentral triangle Δ J_A J_B J_C. It is named in honor of Benjamin Bevan, a relatively unknown Englishman proposed the problem of proving that the circumcenter O was the midpoint of the incenter I and the circumcenter of the excentral triangle and that the circumradius of the excentral triangle was 2R, a problem solved by John Butterworth.

Bevan circle | excentral triangle