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With the geometric background provided by Alonso, Martini, and Spirova on thelocation of circumcenters of triangles in normed planes, we show the validityof the Elzinga--Hearn algorithm and the Shamos--Hoey algorithm for solving theminimal enclosing disk problem in strictly convex normed planes.

Geometric Algorithms for Minimal Enclosing Discs in Strictly Convex Normed Planes