This article describes the basic principles for determining the geometry of different types of power transforming machines with rotating pistons. Those machines can be used as internal combustion engines, pumps, hydraulic engines, compressors, flowmeters, feeders etc. An attempt is made to clarify whether it is possible to construct machines with rotating pistons for more general use. Differences in description in many sources lead to problems when it comes to comparison of information coming from these sources. An analysis of the data indicates that reorganizing the basic mathematical issues would be useful. In this article we choose and describe one most convenient name and form of mathematical equation. Many other applications of the chosen form of mathematical equation ascertain proper and convenient use. This is the first time that the chosen form of mathematical equation is proposed to be used to find constructions of different types of power transforming machines with rotating pistons. The main advantage of this form of mathematical equation is the application of two main parameters: curve size parameter and dimensionless curve parameter. These two parameters decided about the convenience in changing volume of internal combustion engines and comparisons of performance characteristic of different types of power transforming machines with rotating pistons. In this paper some convenient values of parameters dimensionless curve parameter are put and discussed.
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