Analytic geometry is a part of geometry in which geometric shapes and their properties are investigated by means of elementary algebra based on the coordinates method. The basis of this method is the method of coordinates, first used by Descartes. For each geometric ratio, this method assigns a certain equation that relates the coordinates of shape or body.
Methods of analytic geometry applied to shapes on a plane to surfaces in three-dimensional space, and can be generalized to higher-dimensional space. Here are the basic elements of analytic geometry is used for plane and spatial tasks.
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