Friday, 17 March 2017

The Analytical Geometry

Analytical Geometry    

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                                                                                                                       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 as Cartesian Geometry.                                                                                                                               The fundamental idea of the analytical (or coordinate) geometry is the representation of points, called coordinates in the plane, by ordered pair 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 corresponds to particular types of lines and analysis of various geometrical properties of these curves. Due to these features, coordinate geometry is considered as a technique for analysis of geometric figures based on certain axioms suggested by physical consideration such as straight line, parabola, circle, hyperbola, etc.

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