Proofs and Contexts: the Debate between Bernoulli and Newton on the Mathematics of Central Force Motion

DOI10.1007/978-3-319-12030-0_4zbMath1335.01016OpenAlexW2256456011MaRDI QIDQ3466725

Niccolò Guicciardini

Publication date: 25 January 2016

Published in: Trends in the History of Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-12030-0_4

zbMATH Keywords

contextsBernoulliNewtoncentral force motion

Mathematics Subject Classification ID

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

Related Items (1)

Un Altro Presente: on the historical interpretation of mathematical texts

Cites Work

• A program toward rediscovering the rational mechanics of the age of reason
• Proposition II (Book I) of Newton's \(Principia\)
• Newton's solution of the one-body problem
• The visualization of quadratures in the mystery of corollary 3 to proposition 41 of Newton's \textit{Principia}
• Inverse-square orbits in Newton's \(Principia\) and twentieth-century commentary thereon
• Newton's easy quadratures ``omitted for the sake of brevity.
• The Kepler problem from Newton to Johann Bernoulli
• The early application of the calculus to the inverse square force problem
• Dismantling a centuries-old myth: Newton’s P r i n c i p i a and inverse-square orbits
• Long-buried dismantling of a centuries-old myth: Newton’s P r i n c i p i a and inverse-square orbits
• Johann Bernoulli, John Keill and the inverse problem of central forces
• Newton's Principia and Inverse-Square Orbits
• On newton's proof that inverse-square orbits must be conics
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