Some years ago the authors of the present paper found in the Fondo Padoa lying in the Mathematical Library of Genoa University a manuscript of 11 pages by Alessandro Padoa with the title A proposito di un nuovo sistema fondamentale della geometria elementare. It seems to be ready for publication and contains also typographical instruction for printing. Other investigations on Padoa and his rôle in Peano’s school led in a series of recent papers to a probably complete list of Padoa’s publications where, however, the above mentioned manuscript is not present and, therefore, is likely to be considered an unpublished paper. It’s a matter of fact that the whole of Padoa’s scientific production has to be integrated by some works that he didn’t publish. The unpublished paper under examination deals with the axiomatization of elementary geometry given by Mario Pieri in 1899 in “Della geometria elementare come sistema ipotetico deduttivo. Monografia del punto e del moto”, where, as it is well-known, elementary geometry is based on the primitive notions of point and movement and on 20 postulates. Padoa agrees with Pieri’s proposal to define segment starting from point and movement; he suggests, however, some modification to the original set of postulates and gives a (partial) proof of their independence. The unpublished paper reveals the interest of Padoa in this subject-matter and, in some sense, his idea of participating in the already consolidated field of research represented by Pieri’s results.

"Un inedito di Alessandro Padoa"

BORGA, MARCO;FENAROLI, GIUSEPPINA;
2009-01-01

Abstract

Some years ago the authors of the present paper found in the Fondo Padoa lying in the Mathematical Library of Genoa University a manuscript of 11 pages by Alessandro Padoa with the title A proposito di un nuovo sistema fondamentale della geometria elementare. It seems to be ready for publication and contains also typographical instruction for printing. Other investigations on Padoa and his rôle in Peano’s school led in a series of recent papers to a probably complete list of Padoa’s publications where, however, the above mentioned manuscript is not present and, therefore, is likely to be considered an unpublished paper. It’s a matter of fact that the whole of Padoa’s scientific production has to be integrated by some works that he didn’t publish. The unpublished paper under examination deals with the axiomatization of elementary geometry given by Mario Pieri in 1899 in “Della geometria elementare come sistema ipotetico deduttivo. Monografia del punto e del moto”, where, as it is well-known, elementary geometry is based on the primitive notions of point and movement and on 20 postulates. Padoa agrees with Pieri’s proposal to define segment starting from point and movement; he suggests, however, some modification to the original set of postulates and gives a (partial) proof of their independence. The unpublished paper reveals the interest of Padoa in this subject-matter and, in some sense, his idea of participating in the already consolidated field of research represented by Pieri’s results.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/249765
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