Philosophiæ Naturalis Principia Mathematica (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Philosophiæ Naturalis Principia Mathematica" in English language version.

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  • Rovelli, Carlo (2000). "Notes for a brief history of quantum gravity". arXiv:gr-qc/0006061.

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  • Volume 1 of the 1729 English translation is available as an online scan; limited parts of the 1729 translation (misidentified as based on the 1687 edition) have also been transcribed online Archived 22 December 2008 at the Wayback Machine.
  • See Curtis Wilson, "The Newtonian achievement in astronomy", pp. 233–274 in R Taton & C Wilson (eds) (1989) The General History of Astronomy, Volume, 2A', at p. 233).
  • Knudsen, Jens M.; Hjorth, Poul (2012). Elements of Newtonian Mechanics (illustrated ed.). Springer Science & Business Media. p. 30. ISBN 978-3-642-97599-8. Extract of p. 30
  • Newton, Isaac (1728). A Treatise of the System of the World.
  • I. Bernard Cohen, Introduction to Newton's A Treatise of the System of the World (facsimile of second English edition of 1731), London (Dawsons of Pall Mall) 1969; reprinted in A Treatise of the System of the World Archived 14 September 2021 at the Wayback Machine, Dover Phoenix Editions, 2004, ISBN 0-486-43880-5.
  • Newton, Sir Isaac (1740). The System of the World: Demonstrated in an Easy and Popular Manner. Being a Proper Introduction to the Most Sublime Philosophy. By the Illustrious Sir Isaac Newton. Translated into English. A "corrected" reprint of the second edition.
  • Bill Bryson (2004). A Short History of Nearly Everything. Random House, Inc. p. 74. ISBN 978-0-385-66004-4.
  • See J. Bruce Brackenridge, "The key to Newton's dynamics: the Kepler problem and the Principia", (University of California Press, 1995), especially at pages 20–21.
  • Several commentators have followed Hooke in calling Newton's spiral path mistaken, or even a "blunder", but there are also the following facts: (a) that Hooke left out of account Newton's specific statement that the motion resulted from dropping "a heavy body suspended in the Air" (i.e. a resisting medium), see Newton to Hooke, 28 November 1679, document #236 at page 301, "Correspondence", vol. 2 cited above, and compare Hooke's report to the Royal Society on 11 December 1679, where Hooke reported the matter "supposing no resistance", see D Gjertsen, "Newton Handbook" (1986), at page 259); and (b) that Hooke's reply of 9 December 1679 to Newton considered the cases of motion both with and without air resistance: The resistance-free path was what Hooke called an 'elliptueid'; but a line in Hooke's diagram showing the path for his case of air resistance was, though elongated, also another inward-spiralling path ending at the Earth's centre: Hooke wrote "where the Medium ... has a power of impeding and destroying its motion the curve in wch it would move would be some what like the Line AIKLMNOP &c and ... would terminate in the center C". Hooke's path including air resistance was therefore to this extent like Newton's (see "Correspondence", vol. 2, cited above, at pages 304–306, document #237, with accompanying figure). The diagrams are also available online: see Curtis Wilson, chapter 13 in "Planetary Astronomy from the Renaissance to the Rise of Astrophysics, Part A, Tycho Brahe to Newton", (Cambridge UP 1989), at page 241 showing Newton's 1679 diagram with spiral, and extract of his letter; also at page 242 showing Hooke's 1679 diagram including two paths, closed curve and spiral. Newton pointed out in his later correspondence over the priority claim that the descent in a spiral "is true in a resisting medium such as our air is", see "Correspondence", vol. 2 cited above, at page 433, document #286.
  • See "Meanest foundations and nobler superstructures: Hooke, Newton and the 'Compounding of the Celestiall Motions of the Planetts'", Ofer Gal, 2003 at page 9.
  • See for example the 1729 English translation of the 'Principia', at page 66.
  • [In Latin] Isaac Newton, Philosophiae naturalis principia mathematica volume 1 of a facsimile of a reprint (1833) of the 3rd (1726) edition, as annotated in 1740–42 by Thomas LeSeur & François Jacquier, with the assistance of J-L Calandrini.

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  • "The Mathematical Principles of Natural Philosophy", Encyclopædia Britannica, London, archived from the original on 2 May 2015, retrieved 13 February 2015

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  • J. M. Steele, University of Toronto, (review online from Canadian Association of Physicists) Archived 1 April 2010 at the Wayback Machine of N. Guicciardini's "Reading the Principia: The Debate on Newton's Mathematical Methods for Natural Philosophy from 1687 to 1736" (Cambridge UP, 1999), a book which also states (summary before title page) that the "Principia" "is considered one of the masterpieces in the history of science".

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  • D. T. Whiteside, "The pre-history of the 'Principia' from 1664 to 1686", Notes and Records of the Royal Society of London, 45 (1991), pages 11–61; especially at 13–20. [2].

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