The existence of a limitless variety of geometric systems

Abstract

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