Is it always possible to bring two linear seconds into perspective (within one linear third)?

Abstract

The question posed is so elementary that, it would seem, its solution should lie in the most elementary textbooks. However, this did not happen, and in the most comprehensive manual available - Reye, Geometrie der Lage in Chapter 3 of Volume II, which specifically treats the perspective position of linear seconds, only the conditions under which two linear primes are considered (as usual, only two systems are considered - a system of points and a system of planes) are in a perspective position. Therefore, I think it useful to consider this issue in general terms.

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