e/Triangle center

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has glosseng: In geometry a triangle center is a point in the plane that is in some sense a center of a triangle akin to the centers of squares and circles. For example the centroid, circumcenter, incenter and orthocenter were familiar to the ancient Greeks, and can be obtained by simple constructions. Each of them has the property that it is invariant under similarity. In other words it will always occupy the same position (relative to the vertices) under the operations of rotation, reflection, and dilation. Consequently this invariance is a necessary property for any point aspiring to be a triangle center. It rules out various well-known points such as the Brocard points, named after Henri Brocard (1845 – 1922), which are not invariant under reflection and so fail to qualify as triangle centers.
lexicalizationeng: triangle center
instance of(noun) a three-sided polygon
trilateral, trigon, triangle
Meaning
Arabic
lexicalizationara: نقاط هامة للمثلث
German
has glossdeu: In der Geometrie versteht man unter den ausgezeichneten Punkten (auch: merkwürdigen Punkten) eines Dreiecks in erster Linie die folgenden vier Punkte:
lexicalizationdeu: Ausgezeichnete Punkte im Dreieck
French
has glossfra: Les éléments remarquables d'un triangle sont des points, droites ou cercles définis en relation avec ce triangle et possédant des propriétés géométriques remarquables.
lexicalizationfra: Elements remarquables d'un triangle
lexicalizationfra: Éléments remarquables d'un triangle
Italian
has glossita: I punti notevoli di un triangolo sono punti in cui si intersecano specifici segmenti del triangolo. Essi sono particolarmente importanti perché permettono di definire caratteristiche importanti dei relativi triangoli. Sono cinque:
lexicalizationita: Punti notevoli di un triangolo
Japanese
has glossjpn: 三角形の中心(さんかくけいのちゅうしん)とは、任意の三角形から一意的に求めることができる点の総称である。単に心または芯とも呼ばれる。
lexicalizationjpn: 三角形の中心
Dutch
has glossnld: Een driehoekscentrum of merkwaardig punt van een driehoek is een punt in een driehoek dat aan bepaalde eisen voldoet.
lexicalizationnld: Driehoekscentrum
Russian
has glossrus: Замечательные точки треугольника — точки, местоположение которых не зависит от того, в каком порядке берутся стороны и вершины треугольника.
lexicalizationrus: Замечательные точки треугольника
Media
media:imgDreieck-Ausgezeichnet.png
media:imgTriangle.Centroid.svg
media:imgTriangle.Orthocenter.svg
media:imgTrigonometricCentres.png

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