Quadrangles inscribed in a closed curve
type: Item
instance of: scholarly article
title: Quadrangles inscribed in a closed curve
zbMATH Open document ID: 0862.57007
DOI: 10.1007/BF02309400
author: V. V. Makeev
published in: Mathematical Notes
publication date: 1996-02-21T00:00:00Z
review text: The article investigates when four points of a quadrangle in the plane can be moved by a similarity such that they lie on a given Jordan curve. The main result states that for any planar \(C^2\) smooth starlike Jordan curve and any four points on a circle there exists a similarity that maps the four points to points of the Jordan curve, provided the curve intersects the circle in at most four points. The author shows that this problem is related to a certain problem on the sphere. This problem then can be solved with rather elementary methods.
reviewed by: Andreas E. Schroth
Mathematics Subject Classification ID: 57N05
zbMATH DE Number: 846466
zbMATH Keywords: quadrangle
zbMATH Keywords: similarity
zbMATH Keywords: Jordan curve
MaRDI profile type: Publication
cites work: The Topology of Square Pegs in Round Holes
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description: scientific article; zbMATH DE number 846466