project into
1. To thrust forward or extend into something or some place. The rear of the car was projecting into the road when a careless driver smashed into it with his truck. The table is so big that it projects into the adjoining meeting room.
2. To thrust or extend something forward and into something or some place. In this usage, a noun or pronoun is used between "project" and "into." He projected his jaw into the air in a show of defiance. The group of people projected their hands into the air in worship.
project into something
to extend into something. The end of the grand piano projected into the next room, but she had to have a grand, nonetheless. The front of the car projected into the flower bed when it was parked, but that was all right.