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A Simple Proof of Poncelet's Theorem (on the Occasion of Its Bicentennial).
- 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.
- Subjects :
- *PONCELET'S theorem
*PASCAL'S theorem
*CONIC sections
*TRIANGLES
*POLYGONS
Subjects
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