The Essence of the system of coordinated

Greetings back with you this navigator @newton666, in this opportunity I want to share them on the topic the system of his coordinated one, but before debemos to realize well on the coordinated one is a tool that is used in the geometry, in which it allows us to designate to the lines, which are used to establish the position of a point and of the planes of every respective axes to them.

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The principal target is of giving to know the system of coordinated and his importance of his application, who is formed by two axes, with numerical connotation, where his origin is determined where these cross, must be known that biunivocal between the flat points, where the real numbers are for partners, this owes for the infinity of points from a plane.

shapes cuatros his quadrants, cocktail with the axes of the abscissa x and the tidy one and, to obtain a flat point a point is used for x and one for and of the following form p (x, y), the first quadrant is (,), the second one is (-,), the third one (-,-), the quarter (,-). In this system it allows us to chart vectors, equation of the straight line, planes, the behavior of variables, to describe in the field of the physics the movement, also it has his use in different field of the engineering, I calculate, economy, physics.

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Have the following contribution of Calculation: several variables Written by George Brinton Thomas 2006.

The coordinated Cartesian ones (x, y, z) of a point P in the space are the real numbers corresponding to the intersections of the axes with the planes that happen for P and there are perpendicular the axes, the coordinated Cartesian ones of the space also they know each other like coordinated rectangular, since the axes that you define them are cut in straight angles. the points on ele axis x have coordinated and, z are equal to zero, that is to say, they have coordinated of the form (x, 0,0) and the points on the axis z have coordinated of the form (0,0, z).

Basing on the knowledge on the form of the nature that the things happen, the system of coordinated they have others focus of analysis or of studies as his nature, in the field of the physics he allows us to study the movement, the behavior of the waves, the displacement of the force, since they are described in the following contribution of Introduction to the study of the mechanics, matter and waves written by One Ingard, William L. Kraushaar, 1972:

Many physical phenomena are described and analyzed better recounting them to a system of coordinated in movement. As important example of the employment of a system of coordinated in movement at constant speed, there is studied the interaction of two bodies referred to the system of coordinated of the center of mass.

For the case of a rotation or acceleration also the system is used of coordinated, in such a way that the force of inertia interferes, explained in the beginning of equivalence of Einstein; where there is explained the rotation of the planet, the lunas and his effect that it causes in the tides, linking the forces inerciales.

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We have knowledge basic on the rotation of the ground, the place of the poles and the equator, but all this owes to him thank you the system of coordinated of the type cylindrical, spherical and geographical, so much that of type cylindrical and spherical is used to represent the points of a space euclídeo three-dimensional, realizing well in the cylindrical one to which two adds a third axis of orthogonal reference to others, in case of the spherical one it is formed by three mutually orthogonal axes that are cut as you go basis, where two of his axis serve to form an angle to manage to reach established of the origin or defined. Having big reference of the system of the previous ones we have the geographical one, in which it is used of way to define points on a spherical surface, establishing between his points one for latitude and the length.

Coordinated geographical, source of image of mastery of Wikimedia Commons, Description
Drawing Geographical Coordinates Design made by L. Fransen (Livinus), Author No machine-readable author provided. Livinus~commonswiki assumed (based on copyright claims).

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Observe the following thing, so that it should be fulfilled in case of causing of a system curvilinear in a general way, for any point in P it is possible to label the points of a space locamente euclídeo in following mathematical models:

Analyze a moment the physical phenomena that it experiences the astrology and the stars where the change is frequent of coordinated, making possible to modify the variables of studies, it is by it that a trasformación is used of coordinated with inverse also distinguishable, between two sets of R, with such a sense, I mention them again of a previous publication, that try to construct the majority of the scientist models of more guessed right units, to be applied in case of the distances in the universe, the most secondhand is planning points and applied the equation of the straight line, for to be able to establish a geometry on it covers with stars, the solar system and galaxies. It is for it that it is used coordinated with inverse also distinguishable, owed by the contingencies of the phenomena that experiences changes of coordinated, under a mathematical model likewise Einstein established it.

mathematical Models for change of coordinated:

Hope that it should be of his taste and of big educational and informative contribution, on the mathematics, the physics of our environment and his universe.

Indexes Bibliographical
Introduction to the study of the mechanics, matter and waves written by One Ingard, William L. Kraushaar.
Calculation: several variables Written by George Brinton Thomas 2006.
Mathematics: Reasoning And Applications 10, 2006.