View source for Median (of a triangle)

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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 straight line|Euler line]].

====Comments====
J. Hjelmslev has shown that also in [[hyperbolic geometry]] (cf. [[Lobachevskii geometry]]) the meridians of a triangle intersect at a point.

====References====
<table>
<TR><TD valign="top">[a1]</TD> <TD valign="top">  H.S.M. Coxeter, "Introduction to geometry" , Wiley  (1989)
</TD></TR></table>

[[Category:Geometry]]