pterygoid branches of maxillary artery pterygoid branches of maxillary artery the pterygoid branches of the maxillary artery, irregular in their number and origin, supply the lateral pterygoid muscle and medial pterygoid muscle. branches of the maxillary artery. pterygoid branches of maxillary arteryplan of branches of internal maxillary artery. (pterygoid labeled at center top.)plan of branches of internal maxillary artery. (visible but not labeled.)detailssourcemaxillary arteryidentifierslatinrami pterygoidei arteriae maxillarista98a12.2.05.073ta24442fma71682anatomical terminology