The possibility of different geometric systems with the same complete set of elements

Abstract

We now know that geometric systems can be very numerous and varied, since very diverse geometric images can be taken as elements of systems. To establish any such system, it is necessary to determine the complete set of its elements and prove that from any two elements arbitrarily chosen from it it one can uniquely construct an infinite set of them, such that by replacing the two chosen ones with any two arbitrary other elements included in its composition, we would also uiquely derive the same set, which would constitute the linear prima of the system.

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