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In geometry, a centre (British English) or center (American English) (from Ancient Greek κέντρον (kéntron) 'pointy object') of an object is a point in some sense in the middle of the object. According to the specific definition of centre taken into consideration, an object might have no centre.
In geometry, a triangle center or triangle centre is a point in the triangle's plane that is in some sense in the middle of the triangle. For example, the centroid , circumcenter , incenter and orthocenter were familiar to the ancient Greeks , and can be obtained by simple constructions .
The term is peculiar to the English language; French, for instance, uses "centre de gravité" on most occasions, and other languages use terms of similar meaning. [citation needed] The center of gravity, as the name indicates, is a notion that arose in mechanics, most likely in connection with building activities.
The Centre, a shorthand term for the central Government of India Centrism , the political middle ground between the left wing and the right wing The Center (political party) , a political party in Switzerland
The center of mass of a body with an axis of symmetry and constant density must lie on this axis. Thus, the center of mass of a circular cylinder of constant density has its center of mass on the axis of the cylinder. In the same way, the center of mass of a spherically symmetric body of constant density is at the center of the sphere.
The kernel of the map G → G i is the i th center [1] of G (second center, third center, etc.), denoted Z i (G). [2] Concretely, the (i+1)-st center comprises the elements that commute with all elements up to an element of the i th center. Following this definition, one can define the 0th center of a group to be the identity subgroup.
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In a simple two-body case, the distance from the center of the primary to the barycenter, r 1, is given by: = + = + where : r 1 is the distance from body 1's center to the barycenter; a is the distance between the centers of the two bodies