Correct proportions have formed their unity in the proportional system, which, being formed in close association with structural and functional basis for subject matter, promotes the expression of artistic understanding the overall structure and objective of the existing relationship of all parts and elements of the form.
The basis of harmonious proportions is the order defined by mathematical relationships and laws of equilibrium. The proportions in the objective world based on laws and mathematical principles that are compatible with our eyes, which, like hearing, does not allow dissonance. The proportions are called inner beauty stuff, poetry, numbers and geometry, mathematics, architect and designer.
In line with its simple mathematical expression as: b = c: d ratio is an equality of numerical relations; it illustrates the relationship strong consistency of its members. In practice, the designer has to deal not only with a mathematical equation numerically, but with geometric (linear and volume) by the expression. The geometric similarity of the segments and shapes is a sign of the presence of proportional relationships and reveals the most general principles of proportional harmony.
The similarity of the figures is the basis for proportioning system proposed by Thiersch in the middle of the XIX century, which has rightly pointed out"One can imagine an infinite number of shapes that by themselves cannot be recognized neither beautiful nor ugly; harmony is obtained when the likeness of any of the main figure of the whole of its parts".
The similarity of the figures used extensively in many samples of proportioning the material world of Ancient Egypt, Ancient Greece, Ancient Rome, the Middle Ages. Renaissance, ancient architecture.
Easily detectable in objects of various purposes like elements formed as a result of searching for coherence and harmonious unity of form. The combination of these elements is subject to certain laws, respectively, which are divided into the proportions of arithmetic (modular) and geometric.
Proportioning system, based on the similarity, using architects of antiquity and other eras, as well as modern masters. Very revealing, for example, a proportional system plan villa in Garches, near Paris, the great French architect Le Corbusier. For the method of proportioning a great future, he should find broad applications in the technical aesthetics and the formation of harmonized standards.
Geometric proportions (a: b = b: c = ... = K) are based on equality and relations are manifested in the geometric similarity of articulations and forms. Geometric mean ratio is proportional to the amount, so it is called continuous. |