Proving and generalizing Desargues' two-triangle theorem in 3-dimensional projective space
type: Item
instance of: scholarly article
title: Proving and generalizing Desargues' two-triangle theorem in 3-dimensional projective space
zbMATH Open document ID: 1347.51008
DOI: 10.1155/2014/276108
author: Dimitrios Kodokostas
published in: Geometry
publication date: 2016-10-19T00:00:00Z
review text: Summary: With the use of only the incidence axioms we prove and generalize Desargues' two-triangle Theorem in three-dimensional projective space considering an arbitrary number of points on each one of the two distinct planes allowing corresponding points on the two planes to coincide and three points on any of the planes to be collinear. We provide three generalizations and we define the notions of a generalized line and a triangle-connected plane set of points.
Mathematics Subject Classification ID: 51N15
zbMATH DE Number: 6640686
Wikidata QID: Q59049282
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/276108
OpenAlex ID: W2127965208
cites work: Q5822020
cites work: Q5827465
cites work: Q5667677
cites work: Q3273607
cites work: A Class of Non-Desarguesian Plane Geometries
cites work: A Real Non-Desarguesian Plane
cites work: Projective Planes
description: scientific article; zbMATH DE number 6640686