centroid

Fetched 2026-10-26 (cache).

Synonyms: centric, cancroid, dendroid, centred, centrad, centropy, centro, cestoid, centris, centauroid, centrocin

Antonyms: centric, cancroid, dendroid, centred, centrad, centropy, centro, cestoid, centris, centauroid, centrocin

Related words from Datamuse; suggestions, not definitions.

Noun

1. {{lb|en|geometry|physics|engineering|of an object or a geometrical figure}} The point at which gravitational force (or other universally and uniformly acting force) may be supposed to act on a given rigid, uniformly dense body; the [[centre of gravity]] or [[centre of mass]].
2. {{lb|en|geometry|specifically|of a triangle}} The point of [[intersection]] of the three [[median]]s of a given triangle; the point whose (Cartesian) coordinates are the [[arithmetic mean]] of the coordinates of the three vertices.
3. {{lb|en|of a finite set of points}} the point whose (Cartesian) coordinates are the [[arithmetic mean]] of the coordinates of a given finite set of points.
4. {{lb|en|analysis|of a function}} An analogue of the [[centre of gravity]] of a nonuniform body in which local density is replaced by a specified function (which can take negative values) and the place of the body's shape is taken by the function's [[domain]].
5. {{lb|en|statistics|cluster analysis|of a [[cluster]] of points}} the [[arithmetic mean]] (alternatively, [[median]]) position of a [[cluster]] of points in a coordinate system based on some application-dependent measure of distance.
6. {{lb|en|graph theory|of a tree}} Given a [[tree]] of ''n'' [[node]]s, either (1) a unique node whose removal would split the tree into subtrees of fewer than ''n''/2 nodes, or (2) either of a pair of adjacent nodes such that removal of the edge connecting them would split the tree into two subtrees of exactly ''n''/2 nodes.

Source: Wiktionary · CC BY-SA 4.0 (Wiktionary dump) · cached copy, not a rewrite.