Simson line

English

The Simson line LN (red) of the triangle ABC with respect to point P on the circumcircle

Etymology

Named after Robert Simson, though it had been published prior to his work.

Noun

Simson line (plural Simson lines)

1. (geometry) Given a triangle ABC and a point P on its circumcircle, the three closest points to P on lines AB, AC, and BC are collinear. The line through these points is the Simson line of P.

   Synonym: Wallace line