A key aspect of the renewal of mathematics in the 17th century was the combination of geometric themes with symbolic/calculatory techniques related to the infinitesimal, that is, the infinitely small (Analysis, mathematical; Infinitesimals). This enabled a new way of conducting geometry, the most appropriate term for which in the 17th century is infinitesimal geometry and which from the 18th century onwards - the century of the elaboration of differential calculus - developed further as differential geometry.
The main subjects of differential geometry in the 17th and…
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“Differential geometry”, in:
Encyclopedia of Early Modern History Online
, Editors of the English edition: Graeme Dunphy, Andrew Gow. Original German Edition: Enzyklopädie der Neuzeit. Im Auftrag des Kulturwissenschaftlichen Instituts (Essen) und in Verbindung mit den Fachherausgebern herausgegeben von Friedrich Jaeger. Copyright © J.B. Metzlersche Verlagsbuchhandlung und Carl Ernst Poeschel Verlag GmbH 2005–2012.
Consulted online on 17 October 2019 <http://dx.doi.org/10.1163/2352-0272_emho_SIM_018335>
First published online: 2015
First print edition: 20170626