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Journal articles on the topic 'Newton's Principia'

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Published: 5 June 2025

Last updated: 2 August 2025

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1

Pask, Colin. "Newton's Principia." Physics World 27, no. 04 (2014): 20–21. http://dx.doi.org/10.1088/2058-7058/27/04/31.

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2

DAVIES, E. B. "Some reflections on Newton's Principia." British Journal for the History of Science 42, no. 2 (2008): 211–24. http://dx.doi.org/10.1017/s000708740800188x.

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AbstractThis article examines the text of Principia Mathematica to discover the extent to which Newton's claims about his own contribution to it were justified. It is argued that for polemical reasons the General Scholium, written twenty-six years after the first edition, substantially misrepresented the methodology of the main body of the text. The article discusses papers of Wallis, Wren and Huygens that use the third law of motion as set out by Newton in Book 1. It also argues that Newton's use of induction is quite different from and subtler than the ‘logical’ and ‘probabilistic’ notions o

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3

Sapunaru, Raquel Anna, and Gabriela Fernandes. "What we think we know about newton’s principia." EDUCA - Revista Multidisciplinar em Educação 5, no. 12 (2018): 171. http://dx.doi.org/10.26568/2359-2087.2018.2859.

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In this article we examine some of the most controversial points in Newton's Principia regarding the contemporary interpretation: the assumed circularity of Definition I, the difference between vis insita and vis inertia, Law I and Law II. The main goal of this work is to offer a wider view of Newton’s writings and provide a historic philosophical approach to the physics teachers which will certainly be useful in physics teaching. We also discuss the modern terminology compared to the one used by Newton himself. Our main concern is to aid the deconstruction of preconceived ideas regarding the

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4

Zinsser, J. P. "Essay review: The ultimate commentary: a consideration of I. Bernard Cohen's Guide to Newton's Principia." Notes and Records of the Royal Society of London 57, no. 2 (2003): 231–38. http://dx.doi.org/10.1098/rsnr.2003.0208.

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An Essay Review of ‘Isaac Newton, The Principia: mathematical principles of natural philosophy ’, translated by I. Bernard Cohen and Anne Whitman, assisted by Julia Budenz; preceded by ‘A guide to Newton's Principia ’ by I. Bernard Cohen.

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5

Snobelen, Stephen D. "Mathematicians, Historians and Newton's Principia." Annals of Science 58, no. 1 (2001): 75–84. http://dx.doi.org/10.1080/000337901457704.

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6

Albis, Víctor S., and Luis C. Arboleda. "Newton's Principia in Latin America." Historia Mathematica 15, no. 4 (1988): 376–79. http://dx.doi.org/10.1016/0315-0860(88)90033-x.

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7

Densmore, Dana, and J. Bruce Brackenridge. "Newton's Principia: The Central Argument." Physics Today 49, no. 12 (1996): 58. http://dx.doi.org/10.1063/1.881594.

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8

Goldberg, Dorothy. "In Celebration: Newton's Principia, 1687–1987." Mathematics Teacher 80, no. 9 (1987): 711–14. http://dx.doi.org/10.5951/mt.80.9.0711.

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Three hundred years have passed since the publication in 1687 of Philosophiae Naturalis Principia Mathematica (The mathematical principles of natural philosophy). Sir Isaac Newton's great scientific treatise, commonly known as the Principia, was published in London on 5 July 1687.

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9

Smith, George E. "Essay Review: Chandrasekhar's Principia: Newton's Principia for the Common Reader." Journal for the History of Astronomy 27, no. 4 (1996): 353–62. http://dx.doi.org/10.1177/002182869602700405.

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10

Katz, Victor J., Francois De Gandt, and Curtis Wilson. "Force and Geometry in Newton's Principia." American Mathematical Monthly 105, no. 4 (1998): 386. http://dx.doi.org/10.2307/2589738.

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11

Nauenberg, M. "Newton's Principia and Inverse-Square Orbits." College Mathematics Journal 25, no. 3 (1994): 212. http://dx.doi.org/10.2307/2687650.

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12

Hart, Richard. "Museums Mark Tercentenary of Newton's Principia." Physics Today 40, no. 12 (1987): 78. http://dx.doi.org/10.1063/1.2820312.

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13

Nauenberg, M. "Newton's Principia and Inverse-Square Orbits." College Mathematics Journal 25, no. 3 (1994): 212–22. http://dx.doi.org/10.1080/07468342.1994.11973610.

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14

Dolby, R. G. A. "Three hundred years of Newton's Principia." Physics Education 22, no. 6 (1987): 337–42. http://dx.doi.org/10.1088/0031-9120/22/6/002.

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15

Maglo, Koffi. "Force, Mathematics, and Physics in Newton's Principia: A New Approach to Enduring Issues." Science in Context 20, no. 4 (2007): 571–600. http://dx.doi.org/10.1017/s0269889707001457.

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ArgumentThis paper investigates the conceptual treatment and mathematical modeling of force in Newton's Principia. It argues that, contrary to currently dominant views, Newton's concept of force is best understood as a physico-mathematical construct with theoretical underpinnings rather than a “mathematical construct” or an ontologically “neutral” concept. It uses various philosophical and historical frameworks to clarify interdisciplinary issues in the history of science and draws upon the distinction between axiomatic systems in mathematics and physics, as well as discovery patterns in scien

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16

Mosley, Derrick. "The Origins and Sources of Newton’s Classical Scholia." Erudition and the Republic of Letters 9, no. 2 (2024): 171–217. https://doi.org/10.1163/24055069-09020005.

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Abstract This article traces the conceptual origins of Newton's draft scholia to Propositions IV through IX of Book III of the Principia to a manuscript booklet of observational data. By coordinating passages marked by dog-eared pages in Newton's books with his correspondence and working papers, it is possible to date these references to a time when he was still actively working on the Principia itself. This provides the basis for a new interpretation of Newton's uses of Egyptian and Graeco-Roman antiquity to counter rival histories of astronomy and philosophy influenced by Descartes.

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17

Shapiro, Alan. "Newton's "Experimental Philosophy"." Early Science and Medicine 9, no. 3 (2004): 185–217. http://dx.doi.org/10.1163/1573382042176254.

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AbstractNewton abjured using the term "experimental philosophy," widely used in Restoration England at the start of his career, until 1712 when he added a passage to the General Scholium of the Principia that briefly expounded his anti-hypothetical methodology. Drafts for query 23 of the second edition of the Opticks (1706) (which became query 31 in the third edition), however, show that he had intended to introduce the term to explain his methodology earlier. Newton introduced the term for polemical purposes to defend his theory of gravity against the criticisms of Cartesians and Leibnizians

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18

Ducheyne, Steffen. "Adriaen Verwer (1654/5–1717) and the first edition of Isaac Newton's Principia in the Dutch Republic." Notes and Records: the Royal Society Journal of the History of Science 74, no. 3 (2019): 479–505. http://dx.doi.org/10.1098/rsnr.2019.0008.

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The Amsterdam-based merchant and mathematics enthusiast Adriaen Verwer (1654/5–1717) was one of the few in the Dutch Republic to respond to the first edition of Newton's Principia (1687). Based on a close study of his published work, his correspondence with the Scottish mathematician and astronomer David Gregory (1659–1708), and his annotations in his own copy of the first edition of the Principia , I shall scrutinize the impact of Newton's ideas on Verwer's thinking. The proposed analysis, which will add nuance to earlier findings, also has broader implications for our understanding of the in

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19

Barra, Eduardo Salles de Oliveira, and Ricardo Batista Dos Santos. "Duhem’s Analysis of Newtonian Method and the Logical Priority of Physics over Metaphysics." Transversal: International Journal for the Historiography of Science, no. 2 (June 28, 2017): 07. http://dx.doi.org/10.24117/2526-2270.2017.i2.03.

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This article offers a discussion of Duhemian analysis of Newton's method in the Principia considering both the traditional response to this analysis (Popper et alii) and the more recent ones (Harper et alii). It is argued that in General Scholium to the Principia, Newton is not advocating what Duhem suggests in his best-known criticism, but he is proposing something very close to the establishment of a logical priority of physics over metaphysics, a familiar thesis defended by the French physicist himself.

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20

Ajay, Sharma. "NEWTON'S SECOND LAW OF MOTION, F=MA; EULER'S OR NEWTON'S?" INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 6, no. 12 (2017): 57–79. https://doi.org/10.5281/zenodo.1086391.

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<strong>Objective:</strong> F =ma is taught as Newton’s second law of motion all over the world. But it was given by Euler in 1775, forty-eight years after the death of Newton.  It is debated here with scientific logic. <strong>Methods/Statistical analysis</strong>: The discussion partially deals with history of science so various aspects are quoted from original references. Newton did not give any equation in <em>the Principia</em> for second, third laws motion and law of gravitation. Conceptually, in Newton’s time, neither acceleration nor second derivative was employed, so

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21

Regulskiy, Ivan. "The unity of Newton’s worldview: anthropological aspect." St. Tikhons' University Review 114 (August 30, 2024): 63–82. http://dx.doi.org/10.15382/sturi2024114.63-82.

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The problem of the unity of Newton's worldview has a three-century-long history. Newton himself claimed that the creation of the «Principia» was motivated by theological considerations, and he believed that the figure of God the Almighty, acting in the world, was necessary for a correct doctrine of nature. However, his legacy was perceived in a different light; for example, J.-B. Biot believed that Newton's occupation with theology was the result of a decline in his mental powers. However, Biot did not have access to Sir Isaac's private theological manuscripts. 20th-century researchers gained

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22

Nauenberg, Michael. "Essay Review: The Mathematical Principles Underlying the Principia Revisited: The Key to Newton's Dynamics: The Kepler Problem and the Principia, Newton's Principia: The Central Argument." Journal for the History of Astronomy 29, no. 3 (1998): 286–300. http://dx.doi.org/10.1177/002182869802900306.

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23

ISHIGAKI, Toshio. "Newton's Principia from a Logical Point of View." Annals of the Japan Association for Philosophy of Science 8, no. 4 (1994): 221–36. http://dx.doi.org/10.4288/jafpos1956.8.221.

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24

Nauenberg, Michael. "Visiting Newton's atelier before the Principia, 1679–1684." Annals of Science 76, no. 1 (2019): 1–16. http://dx.doi.org/10.1080/00033790.2019.1566497.

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25

Pourciau, Bruce. "Newton's Argument for Proposition 1 of the Principia." Archive for History of Exact Sciences 57, no. 4 (2003): 267–311. http://dx.doi.org/10.1007/s00407-002-0062-x.

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26

Bradley, Bruce. "Newton's gift to Roger Cotes." Notes and Records of the Royal Society 66, no. 2 (2012): 159–67. http://dx.doi.org/10.1098/rsnr.2011.0066.

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In 1712 Isaac Newton sent a portrait of himself to Roger Cotes, who was then working with Newton as the editor of the second edition of Newton's Principia . Cotes acknowledged the gift with thanks in a letter to Newton, but the identity of the portrait, presumed to be an engraving done from one of the original portraits in oil, is a mystery. There are only a few engraved portraits to consider as possibilities. Two of them have been suggested as the portrait that Newton sent to Cotes, but an examination of the dates of those engravings rules out that possibility. A third possibility exists as a

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27

Hall, A. R. "Cambridge: Newton's legacy." Notes and Records of the Royal Society of London 55, no. 2 (2001): 205–26. http://dx.doi.org/10.1098/rsnr.2001.0139.

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Before the death of Isaac Newton (in 1727), the colleges of Cambridge had begun to teach their undergraduates, besides moral philosophy, both natural and mathematical science. Their studies were judged by a University examination soon known as the ‘Tripos’, in which the students were listed in order of merit. By mid–century, knowledge of geometry, of Opticks, and of at least the earlier sections of the Principia, was required to gain a high place. The genius of Newton was firmly impressed upon Cambridge, the ‘mathematical university’.

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28

Hine, William L. "Inertia and Scientific Law in Sixteenth-Century Commentaries on Lucretius." Renaissance Quarterly 48, no. 4 (1995): 728–41. http://dx.doi.org/10.2307/2863422.

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When Newton was planning a second edition of the Principia, he considered adding to the work some passages indicating his belief that the theory of inertia was known in antiquity. He intended to include several selections, ninety verses in all, from Lucretius's De rerum natura to illustrate that point. In the end, however, he decided against incorporating the material in the new edition, probably because Richard Bentley, the master of Trinity College Cambridge, considered Epicurean thought, of which Lucretius's work is the chief example, to be an attack on religion. Bentley had written to Newt

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29

LEVITIN, DMITRI. "Newton and scholastic philosophy." British Journal for the History of Science 49, no. 1 (2015): 53–77. http://dx.doi.org/10.1017/s0007087415000667.

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AbstractThis article examines Isaac Newton's engagement with scholastic natural philosophy. In doing so, it makes two major historiographical interventions. First of all, the recent claim that Newton's use of the concepts of analysis and synthesis was derived from the Aristotelian regressus tradition is challenged on the basis of bibliographical, palaeographical and intellectual evidence. Consequently, a new, contextual explanation is offered for Newton's use of these concepts. Second, it will be shown that some of Newton's most famous pronouncements – from the General Scholium appended to the

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30

Cohen, I. Bernard. "The Preliminary Manuscripts for Isaac Newton's 1687 Principia, 1684-1685. Isaac Newton." Isis 83, no. 1 (1992): 135–36. http://dx.doi.org/10.1086/356058.

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31

Zinsser, J. P. "Translating Newton's Principia : The Marquise du Châtelet's revisions and additions for a French audience." Notes and Records of the Royal Society of London 55, no. 2 (2001): 227–45. http://dx.doi.org/10.1098/rsnr.2001.0140.

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In the 1740s, the Marquise du Châtelet translated Newton's Principia (1731, third edition) into French. Her's remains the standard translation. In addition, she wrote an extensive commentary in which she gave her own description of the System of the World , and analytical solutions to key disputed aspects of Newton's theory of universal gravitation. She also included summaries of two mathematical essays that clarified and confirmed Newton's application of his theory to observed phenomena: Aléxis–Claude Clairaut's on the shape of the Earth and Daniel Bernoulli's on the effects of the Sun and Mo

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32

Bruce Brackenridge, J., Subrahmanyan Chandrasekhar, François De Gandt, David L. Goodstein, Judith R. Goodstein, and Alan E. Shapiro. "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." Physics Today 49, no. 11 (1996): 81–82. http://dx.doi.org/10.1063/1.881562.

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33

Ludwig, Bernd. "What Is Newton's Law of Inertia About? Philosophical Reasoning and Explanation in Newton's Principia." Science in Context 5, no. 1 (1992): 139–63. http://dx.doi.org/10.1017/s0269889700001113.

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The ArgumentIn this paper it will be shown that Newton's Principia gives an explication of and an argument for the first Law of Motion, that seems to be outside the scope of today's philosophy of science but was familiar to seventeenth-century commentators: The foundation of classical mechanics is possible only by recurrence to results of a successful technical practice. Laws of classical mechanics gain their meaning as well as their claims to validity only when considered as statements about artifacts whose production belongs to the shared know-how of a scientific community.

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34

Westfall, Richard S. "Technical NewtonLes "Principia" de Newton. Michel BlayThe Key to Newton's Dynamics: The Kepler Problem and the Principia. J. Bruce Brackenridge , Mary Ann RossiNewton's Principia for the Common Reader. Subrahmanyan ChandrasekharForce and Geometry in Newton's Principia. Francois de Gandt , Curtis WilsonNewton's Principia: The Central Argument. Dana Densmore , William H. Donahue." Isis 87, no. 4 (1996): 701–6. http://dx.doi.org/10.1086/357657.

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35

Mandelbrote, Scott. "‘A duty of the greatest moment’: Isaac Newton and the writing of biblical criticism." British Journal for the History of Science 26, no. 3 (1993): 281–302. http://dx.doi.org/10.1017/s000708740003106x.

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Will Ladislaw's words, which so disillusion the young Dorothea, might also depress the modern interpreter of Newton's theology. Encountering the bulk of Newton's manuscript theology, it is tempting to sympathize with Dorothea's eventual response to The Key to all Mythologies, and to want nothing of it. The assessment of John Conduitt, Newton's son-in-law and executor, that his ‘relief and amusement was going to some other study, as history, chronology, divinity, and chemistry’ has in the past provided an ample excuse for those who have wished to take such a course, and to ignore Newton's bibli

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36

Pourciau, Bruce. "A New Translation of and Guide to Newton's Principia." Annals of Science 58, no. 1 (2001): 85–91. http://dx.doi.org/10.1080/000337901457713.

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37

Brading, Katherine. "A note on rods and clocks in Newton's Principia." Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 67 (August 2019): 160–66. http://dx.doi.org/10.1016/j.shpsb.2017.07.004.

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38

Snobelen, Stephen D. "On reading Isaac Newton's Principia in the 18th century." Endeavour 22, no. 4 (1998): 159–63. http://dx.doi.org/10.1016/s0160-9327(98)01148-x.

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39

Weinstock, Robert. "Newton's Principia and inverse-square orbits: The flaw reexamined." Historia Mathematica 19, no. 1 (1992): 60–70. http://dx.doi.org/10.1016/0315-0860(92)90055-g.

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40

Pourciau, Bruce. "Force, deflection, and time: Proposition VI of Newton's Principia." Historia Mathematica 34, no. 2 (2007): 140–72. http://dx.doi.org/10.1016/j.hm.2006.08.005.

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41

Kaplan, Abram. "Analysis and demonstration: Wallis and Newton on mathematical presentation." Notes and Records: the Royal Society Journal of the History of Science 72, no. 4 (2018): 447–68. http://dx.doi.org/10.1098/rsnr.2018.0025.

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Emulating the Greek geometers, Newton used synthetic demonstration to present the ground-breaking arguments of the Principia . This paper argues that we can better understand Newton's reasons for using geometry by considering John Wallis's interpretation of synthetic demonstration. Wallis condemned demonstration for failing to explain the mathematical truths it presented. He opposed to it a presentation that combined symbolic analysis with a documented account of discovery. In preferring symbols, Wallis was motivated both by the nascent tradition of symbolic analysis and by contemporary intere

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42

Cook, A. "ESSAY REVIEW: The gatekeeper of the modern world." Notes and Records of the Royal Society of London 54, no. 1 (2000): 109–13. http://dx.doi.org/10.1098/rsnr.2000.0100.

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Niccolo Guicciardini, Reading the Principia; The debate on Newton's mathematical methods for natural philosophy from 1687 to 1736 . Cambridge University Press, 1999. Pp. 285, £50.00. ISBN 0–521–64066–0

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43

English, John C. "John Hutchinson's Critique of Newtonian Heterodoxy." Church History 68, no. 3 (1999): 581–97. http://dx.doi.org/10.2307/3170039.

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“Nature and Nature's laws lay hid in night: God said, Let Newton be!—and all was light,” according to Alexander Pope. Other British subjects were not so sure. In recent years, historians have begun to take more seriously the persons who opposed Newton on either philosophical, scientific or theological grounds. Rival systems of natural philosophy were already in the field, including the scholastic, the alchemical, and especially the Cartesian. Newton had learned a great deal from Descartes, but he also set out to correct the errors in his system. Many Cartesians, at least in the period shortly

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44

McMullin, Ernan. "The Impact of Newton's Principia on the Philosophy of Science." Philosophy of Science 68, no. 3 (2001): 279–310. http://dx.doi.org/10.1086/392883.

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45

Guicciardini, Niccolo. "Conceptualism and contextualism in the recent historiography of Newton's Principia." Historia Mathematica 30, no. 4 (2003): 407–31. http://dx.doi.org/10.1016/s0315-0860(03)00051-x.

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46

Katz, Victor J. "Force and Geometry in Newton's Principia. By François De Gandt." American Mathematical Monthly 105, no. 4 (1998): 386–92. http://dx.doi.org/10.1080/00029890.1998.12004899.

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47

Nauenberg, Michael. "Magnificent Principia: Exploring Isaac Newton's Masterpiece.Magnificent Principia: Exploring Isaac Newton's Masterpiece.ColinPask528 pp. Prometheus, Amherst, NY. 2013. Price $26 (hardcover). ISBN 978-1-61614-745-7." American Journal of Physics 82, no. 6 (2014): 624–25. http://dx.doi.org/10.1119/1.4857415.

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48

ISHIGAKI, Toshio. "Model-theoretic Nature of the Laws of Motion in Newton's Principia." Annals of the Japan Association for Philosophy of Science 10, no. 1 (2000): 1–17. http://dx.doi.org/10.4288/jafpos1956.10.1.

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49

Biener, Zvi, and Chris Smeenk. "Pendulums, Pedagogy, and Matter: Lessons from the Editing of Newton's Principia." Science & Education 13, no. 4/5 (2004): 309–20. http://dx.doi.org/10.1023/b:sced.0000041825.12956.35.

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50

McMullin, Ernan. "[The Impact of Newton's "Principia" on the Philosophy of Science]: Response." Philosophy of Science 68, no. 3 (2001): 339–45. http://dx.doi.org/10.1086/392887.

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