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Geometry is the branch of mathematics concerned with the study of properties and measurements of figures in space or on a plane. In its development, the geometry employs concepts such as points, (lines) straight, the plans and the curves, among others.
To represent different aspects of reality, made geometry call for formal and axiomatic, systems which are mathematical devices formed by symbols which, in uniting with each other, produce strings. These channels comply with certain rules that can, in turn, produce new strings.
The axioms are statements or proposals that relate concepts. These axioms give rise to theories that can be proved through instruments such as the compass and theodolite.
Among the many currents of the geometry, we will retain the computational geometry which uses algebra and its calculations to solve problems of the extension.
Analytical geometry, on the other hand, is responsible for the study of the figures from a system of coordinates and methods of mathematical analysis.
Descriptive geometry has aimed to solve problems of space with operations performed on a plan, where are represented the figures of solids.
Finally, one can combine three branches of geometry. Projective geometry is responsible figures on a map projections; the geometry of space focuses on the figures which points do not belong to the same level, while the plane geometry considers the figures whose points are all on a plane.