Concept information
Preferred term
nine-point center
Definition(s)
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In geometry, the nine-point center is a triangle center, a point defined from a given triangle in a way that does not depend on the placement or scale of the triangle. It is so called because it is the center of the nine-point circle, a circle that passes through nine significant points of the triangle: the midpoints of the three edges, the feet of the three altitudes, and the points halfway between the orthocenter and each of the three vertices. The nine-point center is listed as point X(5) in Clark Kimberling's Encyclopedia of Triangle Centers.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Nine-point_center)
Broader concept(s)
In other languages
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French
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centre du cercle d'Euler
URI
http://data.loterre.fr/ark:/67375/PSR-MSQF1TF9-R
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