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 ; Versió publicada |
Publicat a: |
Publicacions matemàtiques, Vol. 36, Núm. 2 (1992) , p. 533-540, ISSN 2014-4350 |