The existence of an infinite number of geometric systems

Abstract

The author concludes that there exists an infinite number of geometric systems of the same order, derived from each given one. Since the conclusion about the possibility of reproducing from any given system another, paired one, is not limited by any conditions and is determined solely by the possibility of the same positional constructions as for all systems, it is clear that it is equally applicable to paired systems. In other words, we can reproduce a new, paired system not only from any geometric systems in general, but on absolutely the same grounds and from each paired system.

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