Euclidean Spaces

Abstract

Steiner’s Problem is one of the oldest optimization problems in all of mathematics. Originally, it was considered in the Euclidean plane ${M_2}(B(2)) = L_2^2$ where the Euclidean distance between the points v = (x ₁, x ₂) and v′ = (y _l, y ₂) is given by

$${({({x_1} - {y_1})^2} + ({x_2} - {y_2})2)^{1/2}}.$$

(6.1)