The fundamental theorem of projective geometry: evolution of its proof between 1847 and 1900
type: Item
instance of: scholarly article
title: The fundamental theorem of projective geometry: evolution of its proof between 1847 and 1900
zbMATH Open document ID: 1145.01013
author: Jean-Daniel Voelke
published in: Archive for History of Exact Sciences
publication date: 2008-07-08T00:00:00Z
review text: The evolution of the proof of the fundamental theorem of projective geometry is studied from the origin (Möbius, Charles, Steiner) to the proofs of Schur and Weierstrass. The demonstrations of von Staudt, Reye, Thomae, Pasch are also studied with contributions of Zeuthen, Lüroth, Darboux and the Italian geometers Enriques and Pier.
Mathematics Subject Classification ID: 01A55
Mathematics Subject Classification ID: 14-03
Mathematics Subject Classification ID: 51-03
zbMATH DE Number: 5298504
zbMATH Keywords: cross-ratio
zbMATH Keywords: Pascal theorem
reviewed by: Bernard Rouxel
MaRDI profile type: Publication
full work available at URL: s00407-007-0011-9
OpenAlex ID: W2051073870
cites work: The foundations of projective geometry in Italy from De Paolis to Pieri
cites work: Q3588799
cites work: Q5188813
cites work: Von Pasch zu Hilbert
cites work: Éléments d'analyse de Karl Weierstrass
cites work: The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes
cites work: Q4718432
cites work: Q5508956
cites work: Worlds Out of Nothing
cites work: Q4182695
cites work: The projective geometry of Mario Pieri: a legacy of Georg Karl Christian von Staudt
cites work: Q3708750
cites work: Q4040571
cites work: Q5198683
DOI: 10.1007/S00407-007-0011-9
Recommended article: An elementary proof of the fundamental theorem of projective geometry
Recommended article: The fundamental theorems of affine and projective geometry revisited
Recommended article: Q3125618
Recommended article: Q4274554
Recommended article: Fundamental theorem of projective geometry
Recommended article: Q5091656
Recommended article: Q5774950
Recommended article: Q4023610
description: scientific article; zbMATH DE number 5298504