Über die Erzeugung konvexer Polygone in der projektiven Ebene
type: Item
instance of: scholarly article
title: Über die Erzeugung konvexer Polygone in der projektiven Ebene
zbMATH Open document ID: 0569.52011
author: Reinhard Thron
published in: Beiträge zur Algebra und Geometrie
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/138310
review text: In the real projective plane \(\Pi\) a subset X is called \(\Pi\)-convex if for any two distinct points x,y\(\in X\) at least one of the two segments with endpoints x and y is contained in X. To any subset X of \(\Pi\) one can define a \(\Pi\)-convex hull as a smallest \(\Pi\)-convex set containing X; this is in general not unique. The author proves some results which can be viewed as an analogue of the fact that in the Euclidean plane any convex polygon is the convex hull of its extreme points.
Mathematics Subject Classification ID: 52A30
Mathematics Subject Classification ID: 52A10
Mathematics Subject Classification ID: 52Bxx
zbMATH DE Number: 3909228
zbMATH Keywords: generation of convex polygons in projective planes
reviewed by: Rolf Schneider
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3909228