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The mathematical description of clothes shape change is made by the example of a European female classical jacket. As objects of research graphic representations of female classical jackets have been taken from womens fashion magazines of the middle XX - the beginnings of XXI centuries published in France, Germany, Russia, Poland,Italy, U.S.A. For visual identification of female jacket models of the different time we product the nomenclature of the quantitative parameters of the internal form with use of the chosen more important information points is developed.Revealing of objectively existing laws of jacket form constructions is carried out with use of correlative and regressive analyses. The system of a few linear equations for the description, constructions and comparisons of jacket form characteristics of the researched periods are received. Graphic forms of representation of possible zones for information points moving are offered. Using quantitative information about this parameters changed in the period with 1955 on 2002 received by means of our special instrument we proved the constant cyclic character of change them. Knowledge the common rules of change of the chosen form parameters allow us distributing the established lows to 10th of XXI century as a possible perspective direction in fashion trends for designers and sewing industry. Due to establishing rules that took place informing European female jacket during latest 50 years almost we offered the instrument for predicting the main possible changes in composite-structural construction until 10th of XXI century.