For a given triangle ABC with ∠A > 120°, the Simpson variant of Torricelli's geometrical construction for solving a problem, allegedly first formulated by Fermat in the early 1600s, will identify a point which incorrectly was claimed by Courant and Robbins to solve the so-called Complementary problem: min {BX + CX – AX : X ∈ ℛ2}. The correct solution for any triangle is provided here.
