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The "corollarium II" to the proposition XXIII of Saccheri's Euclides
Dou, Albert

Data: 1992
Resum: This "Corolarium" of the Euclides (1733) contains an original proof of propositions 1. 27 and 1 . 28 of Euclid's Elements. In the same corollary Saccheri explains why he dispenses "not only with the propositions 1 . 27 and 1. 28, but also with the very propositions 1. 16 and 1. 17, except when it is clearly dealt with a triangle circumscribed by alls sides" ; and also why he rejects Euclid's proof. Moreover, the Corolarium has implications for confirmation of Saccheri's method; and also for his concept of straight line, which leads him to his paralogism of ignorantia elenchi in proposition XXXIII.
Drets: Tots els drets reservats
Llengua: Anglès.
Document: article ; recerca ; publishedVersion
Publicat a: Publicacions Matemàtiques, Vol. 36, Núm. 2 (1992) , p. 533-540, ISSN 0214-1493

Adreça alternativa:
DOI: 10.5565/PUBLMAT_362A92_16
DOI: 10.5565/37718

8 p, 224.0 KB

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