Newtonian and Eulerian dynamical axioms. VI. Inductio per enumerationem simplicem

Abstract

This is the sixth part of a series of articles dedicated to the Newtonian and Eulerian dynamical axiomsl it is the natural continuation and development of the last of them [25], where a prehisorical sketch is given of the origination and first shaping of the idea of nechanical constraints imposed on rigid bodies. The present paper contains a detailed analysis of the state of affairs in the domain nowadays, a special attention being paid to Appell's dynamical treatise [15], now pertaining to the mechanical classic, as well as to his article [27] where the nature of mechanical constraints is examined. The main inference of the authors concerning the mathematical description of the constraint concept may be expressed by the slogan via inductio per enumeration simplicem towards definitio per enumerationem simplicem.