Steiner point

Meaning

Noun

• One vertex of a Steiner tree.
• An extra vertex that is not a member of the input.
• The point on the circumcircle of a triangle that lies at the intersection of three lines through the vertices of the triangle, where those lines are parallel to the corresponding sides of the first Brocard triangle.
• The geometric centroid of the system obtained by placing a mass equal to the magnitude of the exterior angle at each vertex of the system.
• Any of the 20 points located at the 3 by 3 intersections of the 60 Pascal lines which are produced by extending the triplets on opposite sides of a conic section in Pascal's theorem for all permutations of verices.

Origin

• Named after Jakob Steiner.