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Centre Point, an office building in central London, England Centerpoint, Ohio , United States, an unincorporated community Centerpointe Mall , Grand Rapids, Michigan, United States
In statistics and computational geometry, the notion of centerpoint is a generalization of the median to data in higher-dimensional Euclidean space.Given a set of points in d-dimensional space, a centerpoint of the set is a point such that any hyperplane that goes through that point divides the set of points in two roughly equal subsets: the smaller part should have at least a 1/(d + 1 ...
The centroid of a tetrahedron is the midpoint between its Monge point and circumcenter (center of the circumscribed sphere). These three points define the Euler line of the tetrahedron that is analogous to the Euler line of a triangle. These results generalize to any -dimensional simplex in the following way.
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.
If f is a triangle center function and a, b, c are the side-lengths of a reference triangle then the point whose trilinear coordinates are (,,): (,,): (,,) is called a triangle center. This definition ensures that triangle centers of similar triangles meet the invariance criteria specified above.
the mean center, also known as the centroid or center of gravity; the median center, which is the intersection of the median longitude and median latitude; the geometric median, also known as Weber point, Fermat–Weber point, or point of minimum aggregate travel. A further complication is caused by the curved shape of the Earth.
Its antipodal point is correspondingly the farthest point from everyone on earth, and is located in the South Pacific near Easter Island, with a mean distance of 15,000 kilometers (9,300 mi). The data used by this figure is lumped at the country level, and is therefore precise only to country-scale distances, larger nations heavily skewed.
The rotation group is a Lie group of rotations about a fixed point. This (common) fixed point or center is called the center of rotation and is usually identified with the origin. The rotation group is a point stabilizer in a broader group of (orientation-preserving) motions. For a particular rotation: The axis of rotation is a line of its ...