Article ID: CBB878854242

How Leibniz tried to tell the world he had squared the circle (2023)

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In 1682, Leibniz published an essay containing his solution to the classic problem of squaring the circle: the alternating converging series that now bears his name. Yet his attempts to disseminate his quadrature results began seven years earlier and included four distinct approaches: the conventional (journal article), the grand (treatise), the impostrous (pseudepigraphia), and the extravagant (medals). This paper examines Leibniz's various attempts to disseminate his series formula. By examining oft-ignored writings, as well as unpublished manuscripts, this paper answers the question of how one of the greatest mathematicians sought to introduce his first great geometrical discovery to the world. Résumé En 1682, Leibniz publie un essai contenant sa solution au problème classique de la quadrature du cercle : la série convergente alternée qui porte désormais son nom. Pourtant, ses tentatives de diffusion de ses résultats en quadrature ont commencé sept ans plus tôt et comprenaient quatre approches distinctes : la conventionnelle (article de journal), la grandiose (traité), l'imposture (pseudépigraphie) et l'extravagante (médailles). Cet article examine les diverses tentatives de Leibniz pour diffuser sa formule de série. En examinant des écrits souvent ignorés, ainsi que des manuscrits non publiés, cet article répond à la question de savoir comment l'un des plus grands mathématiciens a cherché à introduire sa première grande découverte géométrique dans le monde.

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Authors & Contributors
Leibniz, Gottfried Wilhelm von
Mayer, Uwe
Probst, Siegmund
Arnauld, Antoine
Babin, Malte-Ludolf
Görmar, Gerhard
Journals
Archives Internationales d'Histoire des Sciences
HOPOS
Acta Historica Leopoldina
Ambix: Journal of the Society for the History of Alchemy and Chemistry
History of Science
Isis: International Review Devoted to the History of Science and Its Cultural Influences
Publishers
Akademie-Verlag
Birkhäuser
Georg Olms Verlag
Oxford University Press
Vandenhoeck & Ruprecht
Yale University Press
Concepts
Communication of scientific ideas
Mathematics
Physics
Mathematicians
Natural philosophy
Squaring the circle
People
Leibniz, Gottfried Wilhelm von
Descartes, René
Huygens, Christiaan
Alembert, Jean le Rond d'
Arnauld, Antoine
Bernoulli, Jacob
Time Periods
17th century
18th century
Early modern
Places
Germany
France
Great Britain
England
Institutions
Deutsche Akademie der Naturforscher Leopoldina
Royal Society of London
Académie Royale des Sciences (France)
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