The early application of the calculus to the inverse square force problem

DOI10.1007/s00407-009-0056-zzbMath1207.01009OpenAlexW2139932496MaRDI QIDQ1956485

Michael Nauenberg

Publication date: 22 September 2010

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00407-009-0056-z

zbMATH Keywords

Isaac NewtonLeibnizPierre VarignonJohann Bernoullilaw of gravitationhistory of calculusJacob Hermann

Mathematics Subject Classification ID

History of mathematics in the 18th century (01A50) History of mathematics in the 17th century (01A45)

Related Items (2)

Proofs and Contexts: the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion ⋮ Lost in translation? Reading Newton on inverse-cube trajectories

Cites Work

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• Differentials, higher-order differentials and the derivative in the Leibnizian calculus
• Newton's early computational method for dynamics
• The visualization of quadratures in the mystery of corollary 3 to proposition 41 of Newton's \textit{Principia}
• Kepler's area law in the \textit{Principia}: filling in some details in Newton's proof of Proposition 1.
• Robert Hooke's seminal contribution to orbital dynamics
• Newton's easy quadratures ``omitted for the sake of brevity.
• Newton's Orbit Problem: A Historian's Response

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