Concept information
Preferred term
Steiner inellipse
Definition(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)
Broader concept(s)
Synonym(s)
- midpoint ellipse
- midpoint inellipse
In other languages
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French
URI
http://data.loterre.fr/ark:/67375/PSR-L87VM4VW-J
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