RETRACTED: On the New Branch of Mathematical Science

Abstract

The origin of geometry dates back 30000(Thirty thousand years) B.C^[3]. Euclid of Alexandria (2300 B.C.) complied the Elements which is the first scientific text book. Euclid assumed five postulates. There is no proof for the fifth postulate. Almost all the celebrated mathematicians tried their best to deduce this from the first four postulates. But unfortunately, nobody was successful. Saccheri and Lambert worked on this problem for more than 50 years. The authors start where Saccheri and Lambert failed to obtain the following result/theorem. In a Lambert quadrilateral the fourth angel is the right angle or the lateral sides of a Lambert quadrilateral are equal. This proposition was proved by proof by contradiction.