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Volumn 114, Issue 4, 2007, Pages 286-296

The flaw in Euler's proof of his polyhedral formula

Author keywords

[No Author keywords available]

Indexed keywords


EID: 34247479151     PISSN: 00029890     EISSN: None     Source Type: Journal    
DOI: 10.1080/00029890.2007.11920417     Document Type: Article
Times cited : (10)

References (22)
  • 3
    • 0004223416 scopus 로고    scopus 로고
    • Cambridge University Press, Cambridge
    • P. R. Cromwell, Polyhedra, Cambridge University Press, Cambridge, 1997.
    • (1997) Polyhedra
    • Cromwell, P.R.1
  • 5
    • 34247510252 scopus 로고    scopus 로고
    • L. Euler, Elementa doctrinae solidorum, Novi Commentarii Academiae Scientiarum Petropolitanae 4 (1758) 72-93;
    • L. Euler, Elementa doctrinae solidorum, Novi Commentarii Academiae Scientiarum Petropolitanae 4 (1758) 72-93;
  • 6
    • 34247530441 scopus 로고    scopus 로고
    • reprinted in Opera Omnia, series 1, 26, Birkhauser, Leibzig, pp. 71-93.
    • reprinted in Opera Omnia, series 1, vol. 26, Birkhauser, Leibzig, pp. 71-93.
  • 7
    • 0040500290 scopus 로고
    • Demonstratio nonnullarum insignium proprietatum quibus solida hedris planis inclusa sunt praedita
    • _, Demonstratio nonnullarum insignium proprietatum quibus solida hedris planis inclusa sunt praedita, Novi Commentarii Academiae Scientiarum Petropolitanae 4 (1758) 94-108, 1758;
    • (1758) Novi Commentarii Academiae Scientiarum Petropolitanae , vol.4 , pp. 94-108
    • Euclid1
  • 8
    • 34247472687 scopus 로고    scopus 로고
    • reprinted in Opera Omnia, series 1, 26, Birkhauser, Leibzig, pp. 94-108.
    • reprinted in Opera Omnia, series 1, vol. 26, Birkhauser, Leibzig, pp. 94-108.
  • 11
    • 34247515371 scopus 로고    scopus 로고
    • reprinted in Opera Omnia, series 1, 26, Birkhauser, Leibzig, pp. 204-223.
    • reprinted in Opera Omnia, series 1, vol. 26, Birkhauser, Leibzig, pp. 204-223.
  • 17
    • 13144253256 scopus 로고
    • Remarques sur les deux premières dè monstrations du théorème d'Euler relatif aux polyèdres
    • H. Lebesgue, Remarques sur les deux premières dè monstrations du théorème d'Euler relatif aux polyèdres, Bull. Soc. Math. France, 52 (1924) 315-336.
    • (1924) Bull. Soc. Math. France , vol.52 , pp. 315-336
    • Lebesgue, H.1
  • 20
    • 34247463435 scopus 로고    scopus 로고
    • The polyhedral formula
    • R. Bradley and E. Sandifer, ed, Elsevier to appear
    • D. Richeson, The polyhedral formula, in Leonhard Euler Tercentennial, R. Bradley and E. Sandifer, ed., Elsevier (to appear).
    • Leonhard Euler Tercentennial
    • Richeson, D.1
  • 21
    • 34247532457 scopus 로고    scopus 로고
    • In defense of Euler
    • H. Samelson, In defense of Euler, Enseign. Math. (2) 42 (1996) 377-382.
    • (1996) Enseign. Math. (2) , vol.42 , pp. 377-382
    • Samelson, H.1
  • 22
    • 34247527870 scopus 로고    scopus 로고
    • E. Sandifer, How Euler did it: V, E and F, parts 1 and 2, MAA Online (June-July, 2004), available at http://www.maa.org/news/ howeulerdidit.html.
    • E. Sandifer, How Euler did it: V, E and F, parts 1 and 2, MAA Online (June-July, 2004), available at http://www.maa.org/news/ howeulerdidit.html.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.