Back to Search Start Over

The Flaw in Euler's Proof of His Polyhedral Formula.

Authors :
Francese, Christopher
Richeson, David
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