sentence1: The biquaternions of William Rowan Hamilton ( 1844 ) and the related split-biquaternions and dual quaternions do not form biquaternion algebras in this sense .
sentence2: In this sense , the biquaternions of William Rowan Hamilton ( 1844 ) and the dual Split - biquaternions and related quaternions do not form biquaternion - algebras .