On the possibility of teaching elements of Lobachevski Geometry at School

Abstract

It is useful to teach elements of Lobachevsky geometry at school because the study of non-Euclidean geometry makes good impact on the understanding of logical structure of school geometry, on the comprehension of the role and place of the axiom of parallelism. We propose and describe here the program of such course. It includes history of attempts of the proof of Euclid s fifth postulate, Lobachevsky s axiom of parallelism and some properties of figures on Lobachevsky plane.