KnowraFermat pointLinked fromLinked fromThe 7 pages that link to Fermat point, each with the reason it gives.All 7Broader topic 2Related 4Compared with 1Pierre de FermatBroader topic: The geometric optimization problem bearing Fermat’s name illustrates his interest in extreme-value questions.Triangle geometryBroader topic: Its construction connects angle geometry with an optimization property.Fagnano's problemRelated: It is a related triangle-optimization problem, but minimizes a point's distance sum rather than an inscribed perimeter.Barrow's inequalityRelated: The inequality relates the vertex-distance sum used in this minimization to side distances.Gilbert–Pollak conjectureRelated: For suitable triangles, it gives the junction that realizes the conjectured ratio.Lester's theoremRelated: The first and second Fermat points supply two more points on the circle.Van Schooten's theoremCompared with: It concerns a different distance-sum question for triangles, rather than this fixed-circle identity.