On a theorem about projectivities (Q2563505)

The paper presents a theorem about projectivities in the \(n\)-dimensional complex projective space (\(n\geq2\)). The theorem contains as a special case the main result of [the author in Can. Math. Bull. 35, No. 4, 560-568 (1992; Zbl 0770.51017)], which in turn has as corollaries the Theorems of Desargues, Papus-Pascal, Miquel, and many more. A bunch of corollaries in dimension 3 is given as well. The author puts it as a challenge to find more. In particular, he conjectures that some well known theorems, or extensions of such can be derived from his result. In particular, he mentions the ``double six''.