Greater palatine artery. The greater palatine artery (Fig. 8.158) passes inferiorly with the palatine nerves into the palatine canal. It gives origin to a lesser palatine branch (Fig. 8.158), which passes through the lesser palatine foramen to supply the soft palate, and then continues through the greater palatine foramen to supply the hard palate. The latter vessel passes forward on the inferior surface of the palate to enter the incisive fossa and pass superiorly through the incisive canal to supply the anterior aspect of the septal wall of the nasal cavity.