The greater palatine artery is a terminal branch of the maxillary artery. It branches off of the maxillary artery in the pterygopalatine fossa and descends through the greater palatine foramen along with the greater palatine nerve and supplies the hard palate. It also anastomosis through the incisive canal with the sphenopalatine artery to supply the nasal cavity. [ http://en.wikipedia.org/wiki/Greater_palatine_artery ]