When given 3 points A B C in a

Triangle
A·----110m---·B
\ /
\ s· /
\ 190m
200m /
\ /
V
·
C

The Steiner Point is the point within the triangle that connects the 3 corner nodes of the triangle into a

Steiner Tree, and does so with the minimum overhead (in this case, distance).

This point is

*NOT* equidistant from A, B, and C. Instead, angles ASB, BSC, and

CSA are all 120 degrees. To easilly find this point, use

Torricelli's Method of finding a Steiner Point.

10998521 is entirely correct in calling it the Fermat point. The Steiner Point is another alias, popularized by Courant and Robbins in

*What is Mathematics* (1941), calling it the

Steiner Minimal Tree problem.