Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

On Pappian and Desarguesian affine planes

View through CrossRef
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.
Ivan Franko National University of Lviv
Title: On Pappian and Desarguesian affine planes
Description:
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.

Related Results

Ordered Desarguesian Affine Hjelmslev Planes
Ordered Desarguesian Affine Hjelmslev Planes
A Desarguesian affine Hjelmslev plane (D.A.H. plane) may be coordinatized by an affine Hjelmslev ring (A.H. ring), which is a local ring whose radical is equal to the set of two-si...
Self-Affinity of Discs Under Glass-Cut Dissections
Self-Affinity of Discs Under Glass-Cut Dissections
Abstract A topological disc is called n-self-affine if it has a dissection into n affine images of itself. It is called n-gc-self-affine if the dissection is obtained by ...
Geometrical Methods in Goursat Categories
Geometrical Methods in Goursat Categories
The main aim of the paper is to show that the Little Desarguesian Theorem, the Escher Cube, Closure Lemma 1 and 3, hold in any regular Mal'tsev categories. We prove that Mal'tsev c...
Macdonald Identities, Weyl-Kac Denominator Formulas and Affine Grassmannian Elements
Macdonald Identities, Weyl-Kac Denominator Formulas and Affine Grassmannian Elements
The Nekrasov-Okounkov formula gives an expression for the Fourier coefficients of the Euler functions as a sum of hook length products. This formula can be deduced from a specializ...
PERAN FAKTOR PENYEKALA PADA KONSTRUKSI INTERPOLASI FRAKTAL
PERAN FAKTOR PENYEKALA PADA KONSTRUKSI INTERPOLASI FRAKTAL
Abstrak: Telah diketahui bahwa suatu fungsi fraktal  yang menginterpolasi data  sedemikian hingga  untuk   dapat dikonstruksi dari suatu Sistem Fungsi Iterasi (SFI) ...
ODE/IM correspondence for affine Lie algebras: a numerical approach
ODE/IM correspondence for affine Lie algebras: a numerical approach
Abstract We study numerically the ODE/IM correspondence for untwisted affine Lie algebras associated with simple Lie algebras including exceptional type. We consider...

Back to Top