 An automedian triangle is one whose medians are in the same proportions as its sides (though in a different order).If "ABC" is an automedian triangle in which vertex "A" stands opposite the side "a", "G" is the centroid (where the three medians of "ABC" intersect), and "AL" is one of the extended medians of "ABC" with "L" lying on the circumcircle of "ABC", then "BGCL" is a parallelogram.The midpoints of the sides of an arbitrary quadrilateral are the vertices of a parallelogram, called its Varignon parallelogram.