L'inici de la geometria no euclidiana a Itàlia

Authors

  • Miriam Alcalá Vicente

Abstract

Non-Euclidean geometry is probably one of the most revolutionary theories of the 19th century. After remaining unnoticed for over 30 years, from 1860 it underwent a Renaissance process, which was driven by the work of two mathematicians: Jules Hoüel and Giuseppe Battaglini. This article is about the process of dissemination, development and acceptance of the new geometry, focusing on the Italian context. In particular, we will show that the contribution of G. Battaglini to this area goes far beyond the disclosure. At the end of his article «Sulla geometria immaginaria di Lobatschewsky», we find an unexpected coincidence between his description of the non-Euclidian plane and the subsequent Beltrami's disk model. Our purpose is to justify the similarities between these two interpretations.

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Published

2019-07-23

How to Cite

Alcalá Vicente, M. (2019). L’inici de la geometria no euclidiana a Itàlia. Butlletí De La Societat Catalana De Matemàtiques, 34(1), 5–32. Retrieved from https://revistes.iec.cat/index.php/BSCM/article/view/104068.003

Issue

Vol. 34 No. 1 (2019)

Section

Articles

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