Principal aggregates in the systems of points and planes

Abstract

Having derived a series of principal aggregates, both positional and non-positional, we can now more clearly define the very concept of such aggregates. We call an aggregate principal if it is completely and uniquely derived from a given number of elements, with all these elements playing an equal role in the construction. If we denote these elements by letters and derive the construction of the aggregate, first introducing elements marked by some letters and then by others, then, if the derived aggregate is principal, we can rearrange the letters with respect to the elements differently, and the construction remains valid provided that we retain the original letters in its procedural order.

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