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geometry > geometric drawing > triangle center > nine-point center

... > geometric figure > point > center > triangle center > nine-point center

... > Euclidean geometry > point > center > triangle center > nine-point center

Preferred term

nine-point center

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)

triangle center

triangle

centre des neuf points

French
centre du cercle d'Euler

URI

http://data.loterre.fr/ark:/67375/PSR-MSQF1TF9-R

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