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Concept information

geometry > geometric drawing > Euler's circle

Terme préférentiel

Euler's circle  

Définition

  • In geometry, the nine-point circle is a circle that can be constructed for any given triangle. It is so named because it passes through nine significant concyclic points defined from the triangle. These nine points are :
    - The midpoint of each side of the triangle
    - The foot of each altitude
    - The midpoint of the line segment from each vertex of the triangle to the orthocenter (where the three altitudes meet; these line segments lie on their respective altitudes).
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Nine-point_circle)

Concept générique

Concepts associés

Synonyme(s)

  • Feuerbach's circle
  • mid circle
  • nine-point circle
  • six-points circle
  • Terquem's circle
  • twelve-points circle

Traductions

  • cercle d'Euler

    français

  • cercle de Feuerbach
  • cercle de Terquem
  • cercle des neuf points
  • cercle médian

URI

http://data.loterre.fr/ark:/67375/PSR-KD2VRVC0-M

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RDF/XML TURTLE JSON-LD Date de création 13/07/2023, dernière modification le 11/08/2023