The mathematical form of measurement and the argument for Proposition I in Newton's \textit{Principia}

DOI10.1007/s11229-011-9983-8zbMath1274.01027OpenAlexW2111758468MaRDI QIDQ375278

Katherine Dunlop

Publication date: 29 October 2013

Published in: Synthese (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11229-011-9983-8

zbMATH Keywords

geometrymeasurementNewton's \textit{Principia}

Mathematics Subject Classification ID

History of mathematics in the 17th century (01A45) Real and complex geometry (51M99)

Cites Work

• Passage to the limit in Proposition I, Book I of Newton's \textit{Principia}.
• Kepler's area law in the \textit{Principia}: filling in some details in Newton's proof of Proposition 1.
• Newton's argument for Proposition 1 of the \textit{Principia}
• The importance of being equivalent: Newton's two models of one-body motion
• Aspects of the conception and development of the pendulum in the 17-th century
• Newton's Polygon Model and the Second Order Fallacy
• Newton, Leibniz, and Barrow Too: An Attempt at a Reinterpretation
• The prehistory of the Principia from 1664 to 1686
• Some uses of proportion in Newton's principia, book I: A case study in applied mathematics
• Polygons and Parabolas: Some Problems Concerning the Dynamics of Planetary Orbits*
• Did Newton use his calculus in the Principia?
• By their properties, causes and effects: Newton's scholium on time, space, place and motion—I. The text
• Newton's fluxions and equably flowing time
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