engleski

nth Degree Inversions and some of its Products

We define the transformation of 3-dimensional projective space into itself where corresponding points lie on the rays of the 1st order nth class congruence and are conjugate with respect to some quadric. It is shown that this inversion transforms a plane into the algebraic surface of the order n+2 which contains n-ple straight line. Some properties of these surfaces are shown.

congruence of lines; inversion; algebraic surfaces

nije evidentirano