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Concept information

geometry > geometric drawing > Steiner inellipse

Terme préférentiel

Steiner inellipse  

Définition(s)

  • In geometry, the Steiner inellipse, midpoint inellipse, or midpoint ellipse of a triangle is the unique ellipse inscribed in the triangle and tangent to the sides at their midpoints. It is an example of an inellipse. By comparison the inscribed circle and Mandart inellipse of a triangle are other inconics that are tangent to the sides, but not at the midpoints unless the triangle is equilateral. The Steiner inellipse is attributed by Dörrie to Jakob Steiner, and a proof of its uniqueness is given by Dan Kalman.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Steiner_inellipse)

Concept(s) générique(s)

Synonyme(s)

  • midpoint ellipse
  • midpoint inellipse

Traductions

URI

http://data.loterre.fr/ark:/67375/PSR-L87VM4VW-J

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RDF/XML TURTLE JSON-LD Date de création 09/08/2023, dernière modif. 09/08/2023