On Pappian and Desarguesian affine planes

V. O. Pshyk

doi:10.30970/ms.64.1.92-98

V. O. Pshyk Ivan Franko National University of Lviv, Lviv, Ukraine https://orcid.org/0009-0000-8019-5191

DOI: https://doi.org/10.30970/ms.64.1.92-98

Keywords: Pappian affine plane, Desarguesian affine plane

Abstract

We present a complete proof of the classical Heisenberg’s Theorem on the Desarguesian property of Pappian affine planes. In the proof we consider two cases, one of which was omitted in the original Hessenberg’s proof, making it incomplete.

Author Biography

V. O. Pshyk, Ivan Franko National University of Lviv, Lviv, Ukraine

Ivan Franko National University of Lviv, Lviv, Ukraine

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