centroid

Also known as geometric center of a plane figure, geometric center, barycenter, barycentre, geometric centre

thumb|right|Centroid of a triangle

~17 min read

Encyclopedic overview

21 sections

Contents

History
Properties
Examples
Determination {{anchor|Locating}}
Plumb line method
Balancing method
Of a finite set of points
By geometric decomposition
By integral formula
Of a bounded region
With an integraph
Of an L-shaped object
Of a triangle
Of a polygon
Of a cone or pyramid
Of a tetrahedron and {{mvar|n}}-dimensional simplex
Of a hemisphere
See also
Notes
References
External links

thumb|right|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 mean position of all the points in the figure. The same definition extends to any object in n-dimensional Euclidean space.

Excerpted from Wikipedia’s “centroid” article, available under the CC BY-SA 4.0 licence.