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This paper deals with the application of differential geometry methods to a precise calculation of the length of trajectory of an agricultural mechanism that moves on a sloping terrain. We obtained technical exciting function from experimental measurements, out of which we obtained the function of Euler’s parameters by using computer processing. The processing of these parameters provided translational and angular velocities of the gravity centre of the systemic vehicle MT8-222, whichdoi:10.17221/49/2012-rae fatcat:f77ylcgunzdevpn27lyqg4bmpe