Abstract
In this article the mass centres belonging to the force-free motions of a rigid particle system of the elliptic plane are defined. We examine the elementary geometrical connection between the mass centres and the gravity centre of any triangle on the elliptic plane. We search for those lines of an elliptic triangle that can be considered as the dual notions of the gravity centre, the centre of the incircle and the mass centre.
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Wiegand, T. The mass centre, the gravity centre and their duals on the elliptic plane. Geom Dedicata 44, 127–137 (1992). https://doi.org/10.1007/BF00182944
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DOI: https://doi.org/10.1007/BF00182944