Geometry

Euclidean Geometry was introduced by the mathematician Euclid in 330 B .C . It is the basic form of geometry based on definitions and points lines and planes . Euclidean geometry includes various but fixed numbers of postulates like the parallel postulate and is studied in a flat space like a piece of or simple board . The main postulate of Euclidean theory is based on fact that to a point in space , there is only one parallel line to that point . The Riemannian geometry negates the Euclidean postulate by saying that through a point in

space lines can be drawn that eventually meet and thus , denies any existence of parallel lines while Lobachevskian geometry postulates that although there is existence of parallel lines however , for a single point in space there can be more than two parallel lines

The difference between Euclidean geometry and Riemannian and Lobachevskian geometry is that the latter ones define geometry in different spaces . Euclidean geometry studies theories in a flat space while Riemannian geometry considers studies in curved spaces . Unlike both the theories , Lobachevskian geometry revolves around saddle-shaped space . The Euclidean geometry has its limitations of being refrained to a much smaller concept of space and lines and thus , can not be applied in detailed scientific studies while Lobachevskian geometry is used by various scientists in studying orbit predictions of objects , astronomy and many more . Riemannian geometry is used in studies related to local behavior of space , topological type of manifold and behavior of various points...