Remarks on the concepts of affine transformation and collineation in teaching geometry in teachers’ training college

In [11] and [12] (textbooks for teachers’ training colleges written by B. Pelle) isometry and similarity are defined not in the classical way but as a product. We continue this way of definition refer to the affine transformation and collineation, and study the fundamental theorems of these mappings analogously to those of isometry and similarity. AMS Classification Number: 00A35 (ZDM: G55, G59