Any theory is created with the purpose of an explanation of the already available facts, their modeling and forecast of development for the future. The theory of interactions of the persons in concrete kinds of sports is also called to explain the structure of the construction of the interactions of the contradictory parties to simulate them in training states and to operate by the course of an antagonism in competitive conditions. Interactions is the category reflecting the processes of influence each on other of the persons, divided in space and time on their power and contents, and their mutual conditionality. The symmetry plays an appreciable role in the daily life. The symmetry is a constancy of the principles of the biomechanics concerning any changes of the form in the trajectory of movement.
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