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The variety and complexity of the proportions are reflected in different approaches to the research problem. Most authors use in the method of mathematical analysis, sometimes completely distracted from the purpose products, the laws of the formation of its financial structure. This method allows you to detect the presence of proportions, but does not explain, unfortunately, how and why it is used and the proportion which the artistic effect in this case has been made. Hence the limitations of mathematical methods and erroneous conclusion that it is sufficient to establish a strict proportionality, as once the product become harmonious perfection and aesthetic expression.
The belief in "divine proportion" in an absolute aesthetic perfection is the correct geometric constructions of Plato and Pythagoras. Most interesting are the attempts of researchers to explain the essence of proportions based on the laws of mechanics, sound structure and visual form perception of nature and the human body, as well as other features and conditions of formation (functional, technical, ideological and artistic) of the real environment. However, in this case, there are several approaches that emerged from the analysis of practice and empirical observations. In one study cannot fully explain the theory of proportions. So below are just some of the data that make up the so-called "grammar proportions".
Proportions - is the proportionality element harmonized system of parts and whole, giving the subject of harmonious perfection. No eternally beautiful proportions. They arise as a result of artistic comprehension of the functional and constructive-technological ties inherent in their complex product or. Thus, a well-designed shape to be easy car ride to her work and the driver (rhythmic movements of anthropometric requirements, etc.) involves placing clear organized parts of the product, expressed in harmonious proportion to its structure.
The use of different proportional systems was associated with the dominant aesthetic ideals, the stylistic features of shape, typical composition techniques. For example, the medieval artists preferred to irrational proportions based on the Pythagorean-Platonic geometry, as in the Renaissance was more common simple arithmetic relations.

However, the use of proportions has an objective meaning, due to the mathematical laws and lends itself to a specific analysis. It only means a composition that can be used to "measure" beauty. Proportions appear in a variety of mathematical relationships that express the correctness of the geometrical structure of the form, in strict compliance with the single proportionate measure (depending on) the structure of the whole and its individual parts.