The Collaborative International Dictionary of English v.0.48:

weeping beech \weeping beech\ n.
   a variety of European beech (Fagus pendula, Fagus
   sylvatica pendula) with pendulous limbs.
   [WordNet 1.5]

The Collaborative International Dictionary of English v.0.48:

Beech \Beech\, n.; pl. Beeches. [OE. beche, AS. b?ce; akin to
   D. beuk, OHG. buocha, G. buche, Icel. beyki, Dan. b["o]g, Sw.
   bok, Russ. buk, L. fagus, Gr. ? oak, ? to eat, Skr. bhaksh;
   the tree being named originally from the esculent fruit. See
   Book, and cf. 7th Buck, Buckwheat.] (Bot.)
   A tree of the genus Fagus.
   [1913 Webster]

   Note: It grows to a large size, having a smooth bark and
         thick foliage, and bears an edible triangular nut, of
         which swine are fond. The Fagus sylvatica is the
         European species, and the Fagus ferruginea that of
         America.
         [1913 Webster]

   Beech drops (Bot.), a parasitic plant which grows on the
      roots of beeches (Epiphegus Americana).

   Beech marten (Zool.), the stone marten of Europe (Mustela
      foina).

   Beech mast, the nuts of the beech, esp. as they lie under
      the trees, in autumn.

   Beech oil, oil expressed from the mast or nuts of the beech
      tree.

   Cooper beech, a variety of the European beech with
      copper-colored, shining leaves.
      [1913 Webster]

WordNet (r) 3.0 (2006):

Fagus sylvatica
    n 1: large European beech with minutely-toothed leaves; widely
         planted as an ornamental in North America [syn: common
         beech, European beech, Fagus sylvatica]