A series of tips for use with an ultrasonic or piezoelectric dental surgical device dental are used in osteotomy, ostectomy and osteoplasty procedures or any procedure requiring removal or shaping of bone or other hard tissues. In some embodiments, fissures are provided in a cutting end of the tip to facilitate osteotomy. The tips are shaped so that they are comfortable for the surgeon to use in a proper position, so that when a handpiece to which the tips are releasably attached is held in the conventional manner, the geometry of the osteotomy will be precise and desirable. When energized, the tips readily cut through bone or facilitate shaping of skeletal structures at the surgical site. Methods for use of the tips and systems in which the tips provided the cutting function are also described.
