# Steiner point

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## Contents

## English[edit]

### Etymology[edit]

Named after Jakob Steiner.

### Noun[edit]

**Steiner point** (*plural* **Steiner points**)

- (electronics) One vertex of a Steiner tree.
*I created a***Steiner point**in my layout design at the point where I want my net's routing to branch.

- (graph theory) An extra vertex that is not a member of the input.
- (geometry) 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.
- (geometry) 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.
- (geometry) 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.