Median (of a triangle)
A straight line (or its segment contained in the triangle) which joins a vertex of the triangle with the midpoint of the opposite side. The three medians of a triangle intersect at one point, called the centre of gravity, the centroid or the barycentre of the triangle. This point divides each median into two parts with ratio $2:1$ if the first segment is the one that starts at the vertex. The centroid lies on the Euler line.
|[a1]||H.S.M. Coxeter, "Introduction to geometry" , Wiley (1989)|
Median (of a triangle). Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Median_(of_a_triangle)&oldid=53923