Article ID: CBB699595865

Giusto Bellavitis e la sua Geometria di Derivazione (2021)

unapi

Giusto Bellavitis (1803-1880), now mainly regarded for his theory of equipollences, was among the frst Italian geometers, in 19th century, who devoted himself to the study of modern theories on projective transformations that were spreading among the transalpine geometers. His studies on geometric transformations – to which he refers with the term of derivations, since they make it possible to derive the properties of one figure from those of another one – are generally unknown. It is remarkable that Bellavitis, in "Saggio di Geometria derivata" (1838), besides having suggested the idea of quadric inversion, which would be studied about twenty years later by Thomas Archer Hirst (1830-1892), also provided a general definition of transformation, which is the same that Giovanni Virginio Schiaparelli (1835-1910) refers to in 1862 as conic transformation. In this paper, Bellavitis’ work is taken as a case-study of the importance, in the history of mathematics, to conceive concepts and theories within a context of scientifc isolation, before their spreading within the scientifc community. This paper also tries to shed light on the reasons why Bellavitis’ works remained unknown for a long time. Finally, the paper tries to assess to what extent, some decades after their discovery, Bellavitis’ works have contributed, although not decisively, to rethink, from an historical and critical standpoint, the development of the theory of geometric transformations.

...More
Citation URI
http://data.isiscb.org/isis/citation/CBB699595865/

Similar Citations

Book Elena Anne Corie Marchisotto; Francisco Rodriguez-Consuegra; James T. Smith; (2021)
The Legacy of Mario Pieri in Foundations and Philosophy of Mathematics (/isis/citation/CBB763111584/) unapi

Article Nicla Palladino; Alessandra Vaccaro; (2018)
L'ipocicloide tricuspide: il duplice approccio di Luigi Cremona ed Eugenio Beltrami (/isis/citation/CBB233035681/) unapi

Article Pedro J. Freitas; (2019)
The Correspondence from Ernesto Cesàro to Francisco Gomes Teixeira (/isis/citation/CBB711366439/) unapi

Article Dell'Aglio, Luca; Emilia Florio; (2021)
Vector Calculus and Teaching Geometry in Secondary School: the Case of the Italian Vector School (/isis/citation/CBB859045521/) unapi

Book Antonio Caserio; (2021)
Problemi di geometria di fine Ottocento (/isis/citation/CBB546260233/) unapi

Chapter Maria Giulia Lugaresi; (2016)
Editori e stampatori delle "Raccolte di autori che trattano del moto delle acque" (/isis/citation/CBB880807321/) unapi

Article Beatrice Sisana; (2021)
Tempi, luoghi e contenuti della corrispondenza tra Federico Commandino e Francesco Maurolico (/isis/citation/CBB680102080/) unapi

Article Elisabetta Ulivi; (2011)
L'ultimo testamento di Luca Pacioli con altri documenti inediti (/isis/citation/CBB184381808/) unapi

Article Palmerino, Carla Rita; (2010)
The Geometrization of Motion: Galileo's Triangle of Speed and Its Various Transformations (/isis/citation/CBB001031512/) unapi

Book Peterson, Mark A.; (2011)
Galileo's Muse: Renaissance Mathematics and the Arts (/isis/citation/CBB001210032/) unapi

Book Paolo De Bartolomeis; Fiammetta Battaglia; Antonella Nannicini; Adriano Tomassini; (2019)
Matematica. Passione e conoscenza. Scritti (1975-2016) (/isis/citation/CBB333412165/) unapi

Article Enrico Giusti; (2019)
Federico Commandino Editor of Leonardo Pisano's "Practica geometriae" (/isis/citation/CBB816424339/) unapi

Article Mertens, Manuel; (2014)
Memory and Geometry in Bruno: Some Analogies (/isis/citation/CBB001201187/) unapi

Book Gabriele Lolli; (2020)
Il fascino discreto della matematica: Calvino, l'Oulipo e Bourbaki (/isis/citation/CBB148027009/) unapi

Chapter Renzo Baldasso; John Logan; ()
8. Between the Golden Ratio and a Semiperfect Solid: Fra Luca Pacioli and the Portrayal of Mathematical Humanism (/isis/citation/CBB978992186/) unapi

Authors & Contributors
Vaccaro, Maria Alessandra
Cerroni, Cinzia
Brioist, Pascal
Giacardi, Livia
Palmerino, Carla Rita
Mertens, Manuel
Journals
Bollettino di Storia delle Scienze Matematiche
Revue d'Histoire des Mathématiques
History of Science
Paedagogica Historica: International Journal of the History of Education
Early Science and Medicine: A Journal for the Study of Science, Technology and Medicine in the Pre-modern Period
Foundations of Science
Publishers
Harvard University Press
Edizioni ETS
Firenze University Press
Aracne
Birkhäuser Basel
Edizioni di Storia e Letteratura
Concepts
Mathematics
Geometry
Correspondence and corresponding
Manuscripts
Science education and teaching
Mathematics education
People
Commandino, Federico
Archimedes
Euclid
Galilei, Galileo
Cremona, Luigi
Pacioli, Luca
Time Periods
19th century
16th century
Renaissance
20th century, early
20th century
17th century
Places
Italy
France
Europe
Portugal
Florence (Italy)
Tuscany (Italy)
Comments

Be the first to comment!

{{ comment.created_by.username }} on {{ comment.created_on | date:'medium' }}

Log in or register to comment