centroid

centroid
—centroidal, adj.
/sen"troyd/, n.
1. Mech. the point that may be considered as the center of a one- or two-dimensional figure, the sum of the displacements of all points in the figure from such a point being zero. Cf. center of mass.
2. Also called median point. Geom. that point where the medians of a triangle intersect.
[1875-80; CENTR- + -OID]

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In geometry, the centre of mass of a two-dimensional figure or three-dimensional solid.

Thus the centroid of a two-dimensional figure represents the point at which it could be balanced if it were cut out of, for example, sheet metal. The centroid of a circle or sphere is its centre. More generally, the centroid represents the point designated by the mean (see mean, median, and mode) of the coordinates of all the points in a set. If the boundary is irregular, finding the mean requires using calculus (the most general formula for the centroid involves an integral).

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Universalium. 2010.

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