The World of Science, Culture and EducationISSN 1991-5497 · ISSN 1991-5500

No. 3 (106), 2024 · 355–357 · DOI: 10.24412/1991-5497-2024-3106-355-357

ON FEATURES OF THE PROJECTIVE PLANE

Proyaeva I.V., Safarova A.D.

Abstract

The article talks about a section of geometry as projective geometry on the plane and its teaching in pedagogical universities. Due to the difficulties of mastering theoretical knowledge, the article proposes carrying out the process of presenting theoretical material based on various methods of proving theorems during lectures. The article proposes some basic theorems of projective geometry on the plane. The difficulty of studying this material is primarily due to the versatility and large number of imaginary objects. The methodological approach to teaching projective geometry on the plane presented in the article is implemented in the educational process in classes in the course “Selected Issues of Geometry” [1] at the Orenburg State Pedagogical University during the training of MA students in the direction of “Mathematics Education.” The new approach allows achieving high results in training.

Keywords: projective geometry on the plane, problems, proof, complex relation of four points, extended plane

Full text in Russian.

How to cite

Proyaeva I.V., Safarova A.D. ON FEATURES OF THE PROJECTIVE PLANE. The World of Science, Culture and Education. 2024. No. 3 (106). 355–357. DOI: 10.24412/1991-5497-2024-3106-355-357