hanging stile

noun2

1. •
   That stile of a door to which hinges are secured.

   • Hook joints must be worked on the side of one of the front sash stiles, and on the shutting stile of the side sash, the airtight bead being formed on the hanging stile. — 2013
2. •
   The upright of a window frame to which casements are hinged, or in which the pulleys for sash windows are fastened.