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Centroid of a triangle
In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure.[further explanation needed] The same definition extends to any object in -dimensional Euclidean space.[1]
In geometry, one often assumes uniform mass density, in which case the barycenter or center of mass coincides with the centroid. Informally, it can be understood as the point at which a cutout of the shape (with uniformly distributed mass) could be perfectly balanced on the tip of a pin.[2]
In physics, if variations in gravity are considered, then a center of gravity can be defined as the weighted mean of all points weighted by their specific weight.
In geography, the centroid of a radial projection of a region of the Earth's surface to sea level is the region's geographical center.
In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean...
The following is a list of centroids of various two-dimensional and three-dimensional objects. The centroid of an object X {\displaystyle X} in n {\displaystyle...
The spectral centroid is a measure used in digital signal processing to characterise a spectrum. It indicates where the center of mass of the spectrum...
its centroid in a uniform gravitational field. The centroid cuts every median in the ratio 2:1, i.e. the distance between a vertex and the centroid is...
developer Embryonic Studios and motion capture studio Centroid, which became TT Fusion and TT Centroid, respectively. On 8 November 2007, TT Games was bought...
In machine learning, a nearest centroid classifier or nearest prototype classifier is a classification model that assigns to observations the label of...
clubs, balls, and clothing. TaylorMade Golf is currently a subsidiary of Centroid Investment Partners after it was purchased from KPS Capital Partners in...
not change its area or perimeter. However, triangle centers such as the centroid, circumcenter, incenter and orthocenter are not invariant, because moving...
determined from the triangle, including the orthocenter, the circumcenter, the centroid, the Exeter point and the center of the nine-point circle of the triangle...
The Global Centroid Moment Tensor (GCMT) is a seismological and geophysical database of locations and source parameters for globally recorded earthquakes...
triangles (n = 3), the centroids of the vertices and of the solid shape are the same, but, in general, this is not true for n > 3. The centroid of the vertex set...
diagonals with the vertex centroid. The line is remarkable by the fact that it contains the (area) centroid. The vertex centroid divides the segment connecting...
the centroid of the tetrahedron. In addition the four medians are divided in a 3:1 ratio by the centroid (see Commandino's theorem). The centroid of a...
There are two main methods of calculating this "centre": either as the centroid of the two-dimensional shape made by the country (projected to the Airy...
simulation techniques that make use of the path integral formulation including Centroid Molecular Dynamics (CMD), Ring Polymer Molecular Dynamics (RPMD), and the...
body's second moment of area about a parallel axis through the body's centroid, the area of the cross section, and the perpendicular distance (d) between...
the body, and if the body has uniform density, it will be located at the centroid. The center of mass may be located outside the physical body, as is sometimes...
hierarchical clustering builds models based on distance connectivity. Centroid models: for example, the k-means algorithm represents each cluster by a...
In geography, the centroid of the two-dimensional shape of a region of the Earth's surface (projected radially to sea level or onto a geoid surface) is...
(but different) center points are: the mean center, also known as the centroid or center of gravity; the median center, which is the intersection of the...
triangle's orthocenter (the intersection of its three altitudes), its centroid (the intersection of its three medians), and its circumcenter (the intersection...
centre of all land surfaces on Earth. Geometrically defined it is the centroid of all land surfaces within the two dimensions of the Geoid surface which...
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