The turn on the forehand is the simplest of the exercises, asking the horse to move his hindquarters around his forehand, so that the hindquarters inscribe an arc. The turn on the haunches asks the horse to move his forehand around the hindquarters, so that the forelegs inscribe an arc, with the horse bent in the direction of the turn.
The forward swing on the forehand is the most basic of the maneuvers, requiring the horse to shift his hindquarters around his forehand, thus creating a circular motion with the hindquarters. The turn on the haunches involves asking the horse to pivot his forehand around the hindquarters, resulting in a circular path traced by the forelegs, while the horse bends in the direction of the turn.