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A Simple Proof of Poncelet's Theorem (on the Occasion of Its Bicentennial).

Authors :
Halbeisen, Lorenz
Hungerbühler, Norbert
Source :
American Mathematical Monthly. Jun/Jul2015, Vol. 122 Issue 6, p537-551. 15p.
Publication Year :
2015

Abstract

The article discusses proof of Poncelet's theorem using real projective plane based on Pascal's theorem. Topics discussed include Poncelet's theorem related to n-sided polygon in nondegenerate conics and vertices, intersections of circles, Abelian integrals theory, interpretation of elliptic billiards, Poncelet's theorem being consequence of Pascal's theorem and a theorem proving sides of triangles being tangent if triangles are inscribed in a conic.

Details

Language :
English
ISSN :
00029890
Volume :
122
Issue :
6
Database :
Academic Search Index
Journal :
American Mathematical Monthly
Publication Type :
Academic Journal
Accession number :
109000640
Full Text :
https://doi.org/10.4169/amer.math.monthly.122.6.537