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

Abstract

The question posed is so elementary that, it would seem, its solution should be found in the most elementary textbooks. However, this has not happened, 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 primas are considered (as usual, only two systems are considered: a system of points and a system of planes) are in perspective position. Therefore, I deem it useful to consider this issue in its general form.

Read more

None