science

definition of barycenter

The word center of gravity is used in the field of geometry to point to the point from which all the lines that pass will generate a cut to the geometric shape in two equal parts. The center of gravity is located precisely in the center of the geometric figure and can contain thousands of lines that, regardless of their movement or location in the plane, will always cut the space into two equal areas in terms of size or surface.

The center of gravity of the different geometric figures will vary according to the type of shape that is being referred to since the surface will not be the same and therefore the central point or center of gravity will change with each one of them. Examples of this are when we speak of a straight line, the center of gravity will always be the center of it. But if we are talking about a triangle, for example, the barycenter will be the point where the lines drawn from the middle or from the middle of each of its sides meet to the opposite vertex (as seen in the image). This will vary again with more complex geometric shapes, such as polygons or figures with more sides, since the calculation to be carried out in each case to find the center of gravity will be different.

The term of center of gravity can be applied to both geometry and physics, and there it occupies the same meaning nothing more than the phenomenon is observed in practical situations. Thus, it is common to find the use of the term barycenter when we talk about the way in which planets, satellites and stars orbit since all of them do so at a different distance or speed and therefore, the union center can change more than one once forming the center of gravity or, in the case of physics, center of mass.

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