Monday, June 21, 2010

Different Types of Geometry

Introduction:
                  A non-Euclidean geometry is learning of figures and structure that do not chart straight to any n-dimensional Euclidean system, describe by a non-vanishing Riemann curve tensor. Examples of non-Euclidean geometries contain the hyperbolic and elliptic geometry, which are difference with a Euclidean geometry. The necessary difference among Euclidean and non-Euclidean geometry is the character of parallel lines.

Behavior of Lines:

         Three different types of geometry method to explain the difference connecting these geometries is to think double directly lines indefinitely extensive in a two-dimensional level surface that are together vertical to a three line types:




  • In Euclidean geometry the position remain at a stable distance starting each other, and are well-known as parallels.
  • In Hyperbolic geometry they "curve away" starting each other, rising in distance as one moves further from the position of intersection through the general perpendicular; these lines are frequently called ultra parallels.
  • In Elliptic geometry the positions “curve toward" each extra and finally intersect.
Hope you understood the types of geometry. Please leave your comments, if you have any doubts.

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