▪ With regards to geometry , his approach was much more scientific and theoretical . Most of times , he made use of his knowledge in practical ways for instance he utilized his knowledge of right and similar triangles in finding the height or length of pyramids . Besides this , he also invented his own theorem , which is related with inscription of triangle in circle and circle ’ s diameter is equivalent to one leg . In addition to this , he is also attributed to establish another theorem often called as intercept theorem . He is known to make discovery regarding circle that if cut half by its diameter and that base angles as well as vertical angles of triangle are equal .
Thales theorem :
Thus he brought new vistas to existing ideals of mathematics and philosophy mainly by his attempt to rediscover it in more practical or theoretical terms .