Usually applies to triangles, but also to regular polygons.
The point where the three
medians of the triangle
The 'center of gravity' of the triangle.
One of a triangle's points of concurrency.
For more see Centroid of a triangle.
Animation showing that in any triangle, the centroid, circumcenter and orthocenter are always collinear - they always lie on a straight line, called the Euler line.
How to construct (draw) the centroid of a triangle with compass and straightedge or ruler. The centroid of a triangle is the point where its medians intersect. It is also the center of gravity of the triangle and one of the triangle's points of concurrency. It works by constructing two medians, which intersect at the centroid. A Euclidean construction.
Definition and properties of medians of a triangle
An overview of the various centers of a triangle
Definition and properties of the centroid of a triangle
(C) 2009 Copyright Math Open Reference. All rights reserved