  A projectability result is proved for surfaces of prescribed mean curvature
(shortly called $H$-surfaces) spanned in a partially free boundary
configuration. Hereby, the $H$-surface is allowed to meet the support surface
along its free trace non-perpendicularly. The main result generalizes known
theorems due to Hildebrandt-Sauvigny and the author himself and is in the
spirit of the well known projectability theorems due to Rad\'o and Kneser. A
uniqueness and an existence result are included as corollaries.
