Affine Conform Planes as the Special Cases of General Collinear Planes

Abstract

General collinear planes whose double straight line is at infinity are affine collinear planes. Affine collinear planes whose double points of collocation on the infinitely distant double straight line are the absolute points or their real representatives, are the conform planes. The paper considers conform affine transformations: homothety, translation, rotation and axial symmetry, as well as their combinations by defining their types of collocation as: elliptic, hyperbolic, parabolic or perspectivelly collinear.