Hi Rubberball,
FEATHER-EDGE...A dead straight length of wood or aluminium.Maybe 4 inches wide, 6 to 8 ft. long,tapered along one edge to enable it to be "tilted" at an angle, and passed vertically or horizontally across a wall/ceiling that has been coated with undercoat plaster or cement render.It is acting more or less like a giant float and when any low spots in the coating have been filled in,a pass across,say a wall with a feather edge tilted at an angle, will feather away excess coating leaving the wall flat and ready for the next stage.
DARBY...Again,this can be made of wood or aluminium.Mine is made of yellow pine.Between 3 to 4 ft in length with two handles on.Flat all the way across. This too would be used on plaster floating coats or the render top-coat.This tool as well would be passed across the wall/ceiling in a similar way to the feather-edge (tilted,never flat).Both of these tools are used in the final straightening/filling out,ready for the finishing process.Most aluminuim feather edges have a straight edge on the opposite side,which is a square edge.
STRAIGHT-EDGE...This is always held square to the wall and passed across the wall in a up/down sawing motion along a prepared screed, to straighten the coat initially in preparation for the feather-edge and darby All three "tools" are vital bits of equipment to a plasterer....Sorry it dragged on a bit,but as often happens,it's harder to explain their use,than to use.
Roughcaster.