Spherical aggregates of conoprimes

Abstract

One of the very first principles of the new geometry is the theorem according to which projectivity on primes (linear and square) is established by the correspondence of three elements. Therefore, if four arbitrary lines are given on a plane, then each of them, in intersection with three others, gives three points, and this is enough to establish the projectivity of points on all these lines, because on each of them we have three corresponding points. If spherical aggregates are given partly by real, partly by imaginary conoprimes, then from them it is necessary to construct two linear aggregates of the same level, of which for one it is necessary to change the value of the category of conoprimes: take the real for the imaginary and vice versa.