Some mathematical aspects of Newton’s Principia (original) (raw)

Some mathematical aspects of Newton ’ s Principia Giovanni Ferraro

Giovanni Ferraro

2018

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Mathematical models in Newton's Principia : A new view of the ‘Newtonian Style’

Steffen Ducheyne

International Studies in the Philosophy of Science, 2005

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The mathematical form of measurement and the argument for Proposition I in Newton’s Principia

Katherine Laura Dunlop

Synthese, 2012

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A Combination of Nonstandard Analysis and Geometry Theorem Proving, with Application to Newton's Principia

Lawrence Paulson

1998

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The Fiction of the Infinitesimals in Newton’s Works. On the Metaphoric use of Infinitesimals in Newton

Prof. Dr. Raffaele Pisano, HDR (Habil.)

2017

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On the Jesuit Edition of Newton’s Principia. Science and Advanced Researches in the Western Civilization

Prof. Dr. Raffaele Pisano, HDR (Habil.)

Advances in Historical Studies, 2014

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What we think we know about newton’s principia

Raquel Sapunaru

EDUCA - Revista Multidisciplinar em Educação, 2018

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The Principia for the Common-Reader: A New Trend in Newton Scholarship?

Dana Jalobeanu

2014

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Newton’s Philosophiae Naturalis Principia Mathematica "Jesuit" Edition: The Tenor of a Huge Work

Prof. Dr. Raffaele Pisano, HDR (Habil.)

Atti della Accademia nazionale dei Lincei, 2014

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Mathematical and philosophical Newton

Steffen Ducheyne

Metascience, 2011

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A Newtonian tale details on notes and proofs in Geneva edition of Newton'sPrincipia

Prof. Dr. Raffaele Pisano, HDR (Habil.)

Bulletin, 2016

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Jerónimo Muñoz's Reception of Proclus' In Euclidem: Philosophy of Mathematics and an Attempt to Prove the Parallel Postulate

Álvaro J. C . Bo

Jerónimo Muñoz's Reception of Proclus' In Euclidem: Philosophy of Mathematics and an Attempt to Prove the Parallel Postulate, Early Science and Medicine 28, Brill, (2023), 631-658, 2023

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Luca Pacioli and the “Controversy of the Perspective”: The Classification of the Mathematics from the Classical Antiquity to the end of the Quattrocento

Fabio BERTATO

rbhm.org.br

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Importance of Conic Section “size” in the Derivation of Propositions X-XVI in Newton’s Principia Book I

Gopi Krishna

viXra, 2018

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NEWTON'S SCHOLIUM GENERALE: THE PLATONIC AND STOIC LEGACY — PHILO, JUSTUS LIPSIUS AND THE CAMBRIDGE PLATONISTS

Karin Verelst, Rudolf D Smet

History of Science , 39 , 2001, 2001

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The Key to Newton's Dynamics: The Kepler Problem and the Principia; Newton's Principia for the Common Reader; Force and Geometry in Newton's Principia; Feynman's Lost Lecture: The Motion of Planets Around the Sun

Isaac Newton

Physics Today, 1996

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Two Traces of Two-Step Eudoxan Proportion Theory in Aristotle: a Tale of Definitions in Aristotle, with a Moral

Henry Mendell

Archive for History of Exact Sciences, 2007

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Newton’s attempt to construct a unitary view of mathematics

Massimo Galuzzi

Historia Mathematica, 2010

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The Theorem of Pappus: A Bridge between Algebra and Geometry

Elena Marchisotto

The American Mathematical Monthly, 2002

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Three Criticisms of Newton’s Inductive Argument in the Principia

Nicholas Maxwell

Advances in Historical Studies, 2014

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Cotes’ Queries: Newton’s Empiricism and Conceptions of Matter

Zvi Biener, Chris Smeenk

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Mathematics and Imagination in Early Modern Times: Descartes and Leibniz’ Mathesis Universalis in the Light of Proclus’ Commentary of Euclid’s Elements (preprint)

David Rabouin

in K. Vermeir (ed.), Knowledge and the Power of Imagination, 17th-18th Centuries, forthcoming

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Theory of ratios in Nicomachus’ Arithmetica and series of arithmetical problems in Pachymeres’ Quadrivium: Reflections about a possible relationship

Athanasia Megremi, Jean Christianidis

Les séries de problémes, un genre au carrefour des cultures

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Changing Notions of Proportionality in Pre-Modern Mathematics

Antoni Malet

Asclepio, 1990

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A new reading of Problem No. 53 in the Rhind Mathematical Papyrus. The limits of proportionality (ICE XI Florence, Italy, Octobre 2017)

Marianne Michel

Archaeopress Egyptology 19, 2017

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Classical Thought in Newton's General Scholium

Karin Verelst

Preprint, 2022

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Rational Estimates for Irrational Problems: Proportional Geometry in the Work of Leonardo da Vinci

Matthew Landrus

2018

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The Two Supreme Principles of Plato’s Cosmos—the One and the Indefinite Dyad—the Division of a Straight Line into Extreme and Mean Ratio, and Pingala’s Mātrāmeru

Maria Antonietta Salamone

Symmetry

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Modern interpretation of Euclid\u27s theory of ratio and proportion

Mark STECHER

2005

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Colloquium 6: Physica More Geometrico Demonstrata: Natural Philosophy in Proclus and Aristotle

Dmitri Nikulin

Proceedings of the Boston Area Colloquium in Ancient Philosophy, 2003

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Take the Case of a Geometer… Mathematical Analogies and Building Theories in Aristotle

Monica Ugaglia

in: D. Danks, E. Ippoliti (eds.) Building Theories. Studies in Applied Philosophy, Epistemology and Rational Ethics, Springer 2018, pp.119-143, 2018

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The Role of the Eudoxean Theory of Proportions in Galileo's Science of Motion

Jimmy Aames

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Mathematics and Mechanics in the Newtonian Age

María de Paz, José Ferreirós

Journal for General Philosophy of Science, 2020

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Aristotle's Philosophy of Geometry: A Philosophical Defense [Accepted submission]

Emily Katz

Oxford Studies in Ancient Philosophy 61, pp. 143-200, 2021

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On the history of indeterminate problems of the first degree in Greek mathematics

Jean Christianidis

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