The Weeping European Beech is a cultivar of the tree species "Fagus Sylvatica". The "weeping" refers to the fact that the ends of the branches hang down in a limp "pendulum" sort of fashion. All weeping tree species variants have species names that end with the term "pendula". The Weeping Willow is probably the most famous of all weeping tree species.
The tree in this series of images is located in the Finch Arboretum near Spokane, Washington. The Finch Arboretum was established in 1949 and is comprised of 65 acres of land .
The image below is a 19th century illustration of the European Beech that is now in the public domain.