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A best linear inequality related to Fermat’s problem in the triangle. (Chinese. English summary) Zbl 1150.51306

Summary: By using the result of Fermat’s problem in the triangle and two conditional inequalities, a best linear inequality involving the sum of the distances between a point and three vertexes of the triangle is obtained, and a related problem is posed.

MSC:

51M16 Inequalities and extremum problems in real or complex geometry