Article ID: CBB513903674

Sulla ricezione del "Theorema Egregium," 1828-1868 (2018)

unapi

The article aims to analyze the history of the reception of the Theorema Egregium in the time span between the publication of Gauss's "Disquisitiones" and about 1870. Some contributions by Liouville, Bertrand, Puiseux, Chelini, Brioschi and Beltrami are carefully analyzed, by showing how the authors proposed to demonstrate this fundamental result of surface theory in a manner that highlighted its geometric content in a more satisfactory way than Gauss's original treatment. In actual fact, most part of the ideas underlying these reformulations was already contained in the research (private and published only posthumously) of Gauss. Curiously, the history of the reception of the Theorema Egregium in the period considered was littered with attempts, certainly unaware, to rediscover demonstrations and procedures that Gauss had deemed inadequate and that he had definitively discarded when drafting the text of the "Disquisitiones." As will be shown, the reception of Gauss's ideas produced a fruitful and in-depth debate concerning the methods and techniques that should be considered most suitable to deal with problems in the realm of the theory of surfaces.

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Authors & Contributors
Bullynck, Maarten
Pellegrino, Emilio Marco
Vaccaro, Maria Alessandra
Consolati, Isabella
Ghibaudi, Elena
Giannini, Giulia
Concepts
Mathematics
Geometry
Biographies
Non-euclidean geometry
Correspondence and corresponding
Physics
Time Periods
19th century
18th century
20th century, early
Ancient
20th century
Places
Germany
Europe
Italy
Florence (Italy)
Russia
China
Institutions
St. Petersburg Academy of Sciences
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