a branch of subterranean origin that finally rises out of the ground. The Raspberry multiplies in this way.
Offset,
a short, prostrate-rooting branch with a tuft of leaves at the end (Houseleek).
Runner,
a long, prostrate-rooting branch with tuft of leaves (Strawberry).
Stolon,
a branch that curves downward and takes root. The Currant multiplies in this way.