Remarks to an incidence theorem of W. Kroll
type: Item
instance of: scholarly article
title: Remarks to an incidence theorem of W. Kroll
zbMATH Open document ID: 0790.51004
DOI: 10.1007/BF03186477
published in: Mathematische Semesterberichte
publication date: 1994-02-24T00:00:00Z
review text: The author establishes the equivalence of a projective formulation of the configuration theorem introduced by \textit{W. Kroll} [ibid., 39-53 (1993; see the paper above)] (in which conclusion (4) is dropped) with Pappus' theorem in a projective plane. He also proves that a Moufang plane which satisfies a certain specialization of Kroll's configuration theorem is Pappian.
Mathematics Subject Classification ID: 51A20
Mathematics Subject Classification ID: 51A30
zbMATH DE Number: 495251
zbMATH Keywords: configuration theorem
zbMATH Keywords: Pappus' theorem
zbMATH Keywords: Moufang plane
author: Guenter Pickert
reviewed by: Victor V. Pambuccian
MaRDI profile type: Publication
cites work: A remarkable incidence theorem with applications to triangle geometry
cites work: Q4064611
cites work: Q4098819
full work available at URL: https://doi.org/10.1007/bf03186477
OpenAlex ID: W2093234959
description: scientific article; zbMATH DE number 495251