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Fermat point

In Euclidean geometry, the Fermat point of a triangle, also called the Torricelli point or Fermat–Torricelli point, is a point such that the sum of the three distances from each of the three vertices of the triangle to the point is the smallest possible or, equivalently, the geometric median of the three vertices. It is so named because this problem was…

Geography, Properties & Location of X(13)

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Fermat point at a glance

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Overview

Construction

Location of X(13)

Location of the Fermat point

Properties

Advanced semantic analysis

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Fermat point

Top relations

related to External links · 11
Fermat point → Airport Problem, Chris Boucher, Dynamic Geometry Sketches Two, EMS Press, Encyclopedia, Fermat, Fermat-Torricelli, Mathematics, The Fermat-Torricelli Point, The Wolfram Demonstrations Project, Triangle
related to Traditional geometry · 11
Fermat point → ABC, Euclidean, Fermat, Given, If, In, P0, PA, PB, PC, The
related to Aliases · 5
Fermat point → Alternatives, Case, Fermat, However, The
related to Construction · 5
Fermat point → Construct, Draw, Fermat, The, The Fermat
related to Properties · 5
Fermat point → Case, Fermat, The, Trilinear, When

Important terminology Word statistics

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Important terminology

point triangle fermat 120 angle displaystyle 60 center case lies points two line three 13 lines first equilateral abc vertex

Entity relationships Subject–Predicate–Object triples

Extracted RDF-like relationships with confidence and source. The table includes structured facts and lower-confidence contextual relations.
SubjectPredicateObjectConfidenceSrc
Fermat pointrelated to AliasesThe0.60section
Fermat pointrelated to AliasesFermat0.60section
Fermat pointrelated to AliasesAlternatives0.60section
Fermat pointrelated to AliasesHowever0.60section
Fermat pointrelated to AliasesCase0.60section
Fermat pointrelated to ConstructionThe Fermat0.60section
Fermat pointrelated to ConstructionConstruct0.60section
Fermat pointrelated to ConstructionDraw0.60section
Fermat pointrelated to ConstructionThe0.60section
Fermat pointrelated to ConstructionFermat0.60section
Fermat pointrelated to External linksFermat-Torricelli0.60section
Fermat pointrelated to External linksEncyclopedia0.60section

Related concept clusters Concept neighborhoods

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    Map overview Semantic statistics

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    Fermat point

    Nodes38
    Edges37
    Triples37
    Avg. degree1.95
    Density0.052632
    Components1
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