The Analytical Geometry

Analytical Geometry    

                                                                                                                 French mathematician and philosopher Rene Descartes (1596-1650) is credited with the invention of this new branch of geometry which is after his name also called Cartesian Geometry.                                                                                                              The fundamental idea of the analytical (or coordinate) geometry is the representation of points, called coordinates in the plane, by ordered pairs of real numbers and the representation of lines are curves by algebraic equations. Coordinate geometry has enabled the integration of algebra and geometry since algebraic methods are used to represent and prove the fundamental properties of the functions corresponding to particular types of lines and analysis of various geometrical properties of these curves. Due to these features, coordinate geometry is considered a technique for analysis of geometric figures based on certain axioms suggested by physical considerations such as straight line, parabola, circle, hyperbola, etc.