Nicla Palladino

An Archimedean Research Theme: The Calculation of the Volume of Cylindrical Groins

Starting from Archimedes’ method for calculating the volume of cylindrical wedges, I want to get to describe a method of 18th century for cilindrical groins thought by Girolamo Settimo and Nicolo di Martino. Several mathematicians studied the measurement of wedges, by applying notions of infinitesimal and integral calculus; in particular I examinated Settimo’s Treatise on cylindrical groins, where the author solved several problems by means of integrals.

SULLE RACCOLTE MUSEALI ITALIANE DI MODELLI PER LE MATEMATICHE SUPERIORI

title SUMMARY /title We present here the general catalogue and the website of the mathematical models found in the Italian universities of Catania, Messina, Bari, Naples, Rome, Florence, Bologna, Modena, Ferrara, Parma, Pavia, Milan, Padua, Turin and Genoa. For the most part they consist of old models published by the firms Ludwig Brill in Darmstadt, Martin Schilling in Halle an der Saale (later Leipzig), by H. Wiener for G. B. Teubner in Leipzig or belonging to the Collections Charles Muret published by Charles Delagrave in Paris. Other models were produced by different firms. A small number were even produced in Italy at the laboratories annexed to universities and, among these we also include the reproduction created in Florence by Luigi Campedelli in the 1950s with the support of the Unione Matematica Italiana. The research on the models (almost all of which are accompanied by the relevant images) can be carried out principally on the basis of the following criteria: Name of model - Catalogue - Material - Year of publication - Designer - Builder - Publisher - Location. The address of the mirrored web sites are: www.dmi.unisa.it/people/palladino/modelli and www.dma.unina. it/~nicla.palladino/catalogo.