# The geometry and his philosophical base for the evolution of the knowledge.

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Source of image of mastery of Wikimedia Commons, Author Scan by Nick Michael, Permission(Reusing this file) Reproduction of 2D artwork in public domain

Taking something important of Anaximandro de Mileto (about 547-611 B.C.) shows us the following thing:

More for incomplete that should be the preserved fragments of the works of Anaximandro, there allows to recognize, nevertheless, a model of the cosmos of a big coherence. The universe is not already thought as a big semisphere that covers a terrestrial flat disc like a bell, but the Earth is suspended in the center of a universe of spherical form.The evolution of the knowledge for Jost Herbig page 99, 1996.

For the human being, under his instinct of being thinking, the need is born of: why? and: how are the things?, in his environment and his nature, his intention in the life, is the divine essence of the knowledge establishing criterion on the nature of the origin of this puzzler of the geometry, under another classic context of the Greek philosophy, they based more the evolution of the knowledge of the geometry, since at present in they her conditioned different field of the science in two more used approach:

1-. The descriptive geometry is based on the following context on his study:

A surface can be considered to be the infinitely thin movie that an any body covers or that separates for two regions of the space. We will distinguish, nevertheless, the difference of concept it exists between surface and body, although often for briefness of expression it uses terms that are not rigorously exact: often I will say conical surface, and of sphere, instead of spherical surface. The body takes with it, always, an idea of infinite and certain volume, and the immaterial trace that this body makes printed on the homogeneous space, it continued and immensely that surrounds it.

Descriptive geometry and his applications: Curves and surfaces, Volumen2 Por Ángel Taibo Fernández page 55, 1983.

2.-The analytical geometry is based on the following context on his study (it is linked in the branch of the mathematics in reference to the calculation, theory of set and the linear algebra):

Sets There are considered to be different objects that can differ some of others, for examples, lettering, numbers, points, straight lines, triangles, circles, etc. a mental affiliation understands for set in everything of true different that can be abstract or real. Part of the definition of G. Singer (1845-1918), creator of the Theory of sets.

linear Algebra and analytical geometry For Joseph Heinhold, Bruno Riedmüller paginates 1,1980.

East focuses of the geometry, it is used in field of the science, that establish hypothesis of his theory, then the trasforma in mathematical language by means of equations, to define a variable or it is to calculate the value of this variable in study. This field money order of study, it served as base to base the physics as science, pushing big thinkers and scientists to improve the laws of the nature, it is a field of the science, which looks for the origin of for ocurren the phenomena and his means.

The interesting of the geometry there is the big scale of application, which is conditioned to the science that uses it according to his field of study, since for if only it does not have pure field, well it is explained by Discarding that supports the following thing:

Like that, the geometráa adapted to the Physics takes as the first beginning to the definitions, axioms and Euclidean postulates associated at three o'clock (or two) laws of the nature discovered by means of the metaphysical deduction. One can, sometimes, enrich with some assumptions (real or false, but anyway provisora) that do not turn out to be contradictory with the experiences and sufficient to do deductible to the effects.

Discardings and the science of the XVIIth century edited by Carlos Álvarez, Rafael Martínez Enríquez, page 226, 2000.

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Big part of the field of study of the Astrology is based on the physics and this one is ruled by the application of the geometry, in order to establish equations, to calculate distance between the stars and the planets with his satellite, the making of astral maps.

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In the field of the Economy it applies the analytical geometry, already as science of social nature, establishes hypothesis, makes use of this tool to establish equations, to calculate variables and to project estimation, good is a calculation of price, cost, estimation of inflation of one praises or price indexes.

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In field of the engineering and architecture, great culture was based of his knowledge of the geometry, applying it in his buildings and monuments, as the case of the Egyptian culture in the construction of the pyramids.

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In the design, the art and in proper human body, Leonardo da Vinci used of the geometry to base the symmetry of the things, what for our actuality they are a fundamental base to develop piece of news technology and his different applications fields. Since the technology has standardized the way of doing the things, it has allowed that the knowledge, there should have happened in very little time to be an exponent of avant-garde, good is in industrial world, at level of the society, in the way of giving knowledge and in familiar nucleus.

secondhand Bibliography:

The evolution of the knowledge for Jost Herbig page 99, 1996.

descriptive Geometry and his applications: Curves and surfaces, Volumen2 Por Ángel Taibo Fernández page 55, 1983.

linear Algebra and analytical geometry For Joseph Heinhold, Bruno Riedmüller paginates 1. 1980.

Discardings and the science of the XVIIth century edited by Carlos Álvarez, Rafael Martínez Enríquez paginates 226, 2000.

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