Definitions
from The American Heritage® Dictionary of the English Language, 5th Edition.
 noun The point in a system of masses each of whose coordinates is a weighted mean of coordinates of the same dimension of points within the system, the weights being determined by the density function of the system.
from The Century Dictionary.
 noun In mathematics, the center of mass. See
center .  noun In kinematics, same as
centrode. Reauleaux .  noun A point of emphasis or increased energy in a series of speechsounds, or in any series of impulses. Also used attributively.
from the GNU version of the Collaborative International Dictionary of English.
 noun The center of mass, inertia, or gravity of a body or system of bodies.
from Wiktionary, Creative Commons Attribution/ShareAlike License.
 noun mathematics, physics The
point at thecentre of any shape, sometimes called centre of area or centre of volume. For a triangle, the centroid is the point at which themedians intersect. Thecoordinates of the centroid are theaverage (arithmetic mean ) of the coordinates of all the points of the shape. For a shape of uniform density, the centroid coincides with thecentre of mass which is also thecentre of gravity in a uniform gravitational field.
from WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
 noun the center of mass of an object of uniform density
Etymologies
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Examples

The third is the centroid, which is the intersection of the lines that go from the vertex to the midpoints of opposing lines.
HERE’S LOOKING AT EUCLID Alex Bellos 2010

The third is the centroid, which is the intersection of the lines that go from the vertex to the midpoints of opposing lines.
HERE’S LOOKING AT EUCLID Alex Bellos 2010

The third is the centroid, which is the intersection of the lines that go from the vertex to the midpoints of opposing lines.
HERE’S LOOKING AT EUCLID Alex Bellos 2010

For each signature, we calculated the gene expression centroid of the two groups of breast tumors (as determined in the original publications), and then correlated each centroid with cell line expression of the respective signature genes.
PLoS ONE Alerts: New Articles Jessica Kao et al. 2009

Search the Discussion Group history for "centroid," and you'll find lots of entries, many on nearly the same question.

Search the Discussion Group history for "centroid," and you'll find lots of entries, many on nearly the same question.

Search the Discussion Group history for "centroid," and you'll find lots of entries, many on nearly the same question.

Situated in a tightly packed urban neighborhood, this limited space outdoor sculpture garden inherits a large tree, and uses this sole arboreal presence to establish a gravitational pattern of grooves that are focused towards the tree's centroid.
Boing Boing 2009

Vertical circulation always maintains a close connection to the diagrammatic and structural centroid of the building.

The framers of Illinois deliberately chose to put the capital in a small town near the transportation centroid of the new state.
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