On the Presentation of Elements of Systems of Collineations of the Second Third Degree as Products of Two Polar Correspondences and on Certain Properties of Collineations, Connected with This Question

摘要

This work consists of two parts. Part I is concerned with investigating the possibility of presenting any collinear correspondence on a plane in the form of the product of two correlations (Polar correspondences). Some properties of collineation are listed. Part 2 is devoted to resolution of the problem about presentation of collineation in space in the form of the product of two polar correspondences. Certain questions connected with resolution of this problem are answered.