On minor forms of Desargues and Pappus
type: Item
instance of: scholarly article
title: On minor forms of Desargues and Pappus
zbMATH Open document ID: 0759.51002
DOI: 10.1007/BF02414071
author: M. W. Al-Dhahir
author: Khuloud Ghalieh
published in: Geometriae Dedicata
publication date: 1992-09-27T00:00:00Z
review text: In this paper, the projective plane \(\pi\) coordinatized by a ternary ring \((R,F)\) and with operations +, . and \(*\) defined by \(a+b=F(a,1,b)\), \(a,b=F(a,b,0)\) and \(a*b=F(1,a,b)\) for \(a,b\in R\) is considered. Several minor forms of propositions of Desargues and Pappus are introduced in \(\pi\) and their geometrical properties are developed. Some algebraic identities in \((R,F)\) are proved to be equivalent to some of these.
Mathematics Subject Classification ID: 51A30
Mathematics Subject Classification ID: 51E12
Mathematics Subject Classification ID: 51E14
zbMATH DE Number: 58799
zbMATH Keywords: finite partial plane
zbMATH Keywords: Desargues and Pappus propositions
reviewed by: T. Thrivikraman
MaRDI profile type: Publication
cites work: Q5589781
cites work: Q3242535
cites work: The dual of addition in the ternary ring of a projective plane
cites work: Q4098826
cites work: Geometric and algebraic aspects of four minor forms of the Pappus proposition
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cites work: Über Anti-Fano-Ebenen
description: scientific article; zbMATH DE number 58799