Longuet-Higgins Point
The Longuet-Higgins point of a triangle ABC is the radical center of the circles centered at the vertices A, B, and C with respective radii b+c, a+c, and a+b.
The Longuet-Higgins circle of a triangle ABC is the radical circle of the circles centered at the vertices A, B, and C with respective radii b+c, a+c, and a+b.