Analytical geometry

Analytical geometry is a practical implementation in a separately allocated section of geometry for investigating plane and volumetric geometric figures using algebraic tools, based on the method of coordinates developed by Descartes.

Descartes provided a clear definition that regardless of the coordinate system, any curve has its defining equation. In the analysis of curves, concepts such as center and axis of symmetry, diameter, vertex, asymptotes, etc., are used. Newton and a number of other mathematicians expanded on Descartes' ideas presented in 1637.

Using the tools of elementary algebra in the analytical geometry section, both plane and spatial tasks are solved. All geometric relations in this method for solving various practical tasks are corresponded with equations tied to the coordinates of the investigated figures (bodies).