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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...

medians, one from each vertex, and they all intersect at the triangle's centroid. In the case of isosceles and equilateral triangles, a median bisects any...

repeatedly finds the centroid of each set in the partition and then re-partitions the input according to which of these centroids is closest. In this setting...

resistors, into parts and interweaving them to cancel variations. Using common centroid device layout to cancel variations in devices which must match closely...

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...

so-called centroid hypothesis, judgments of distance between visual objects are strongly affected by the neural computation of the centroids of the luminance...

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...

belongs to the cluster with the nearest mean (cluster centers or cluster centroid), serving as a prototype of the cluster. This results in a partitioning...

define the centroid directly on a flat map projection; this is, for example, the definition that the US Census Bureau uses. Contrary to a common misconception...

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...

hierarchical clustering builds models based on distance connectivity. Centroid models: for example, the k-means algorithm represents each cluster by a...

area of an I-beam is located at the maximum possible distance from the centroid of the I-beam's cross-section. The planar second moment of area provides...

of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment. The midpoint...

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...

building centroids, land parcel centroids, interpolated locations based on thoroughfare ranges, street segments centroids, postal code centroids (e.g. ZIP...

centroid (the intersection of the two bimedians), and the anticenter are collinear. In a cyclic quadrilateral, the area centroid, the vertex centroid...

the PNA, each multiplied by the distance from their respective local centroids to the PNA. Z = A C y C + A T y T {\displaystyle Z=A_{C}y_{C}+A_{T}y_{T}}...

{\displaystyle \varepsilon } , the given sensitivity threshold) : Compute the centroid for each cluster (shown below). For each data point, compute its coefficients...

is called the centroid of the triangle, which is its center of mass if it has uniform density; thus any line through a triangle's centroid and one of its...