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The Flaw in Euler's Proof of His Polyhedral Formula.
- Source :
- American Mathematical Monthly; Apr2007, Vol. 114 Issue 4, p286-296, 11p, 6 Diagrams
- Publication Year :
- 2007
-
Abstract
- The article reports on the flaw in Leonhard Euler's theory of polyhedra. It examines the proof laid down by Euler for his polyhedral formula and discusses the questions raised about his proof. It cites the papers "Elementa doctrinae solidorum" and the "Demonstratio nonnullarum insignium proprietatum quibus solida hedris planis inclusa sunt praedita" which Euler wrote to discuss his theory. It includes discussions on the proof of the angle sum formula and presents analysis an commentary on Euler's paper.
Details
- Language :
- English
- ISSN :
- 00029890
- Volume :
- 114
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- American Mathematical Monthly
- Publication Type :
- Academic Journal
- Accession number :
- 24663890
- Full Text :
- https://doi.org/10.1080/00029890.2007.11920417