To enter upon the land or lands, lot or lots, of any person or persons within the city, at all reasonable hours, by their duly appointed city engineer, in order to set out the foundations and regulate the walls to be built between party and party, as to the breadth and thickness thereof, which foundation shall be laid equally upon the lands of the persons between whom such party will is to be made, and the first builder is to be reimbursed one moiety of the charge of such party wall, or for so much thereof as the next builder shall have occasion to make use of, before such next builder shall or may use or break into said wall.