46
Views
2
CrossRef citations to date
0
Altmetric
Notes and discussions

The instantaneous impulse construction as a formula for central force motion on an arbitrary plane curve with respect to an arbitrary force centre in the plane of that curve

Pages 369-375 | Received 01 Aug 1991, Published online: 20 Aug 2006

  • Pourciau , Bruce . 1991 . On Newton's Proof That Inverse-Square Orbits Must be Conics . Annals of Science , 48 : 159 – 172 .
  • Weinstock , Robert . 1989 . Long-buried dismantling of a centuries-old myth: Newton's Principia and inverse-square orbits . American Journal of Physics , 57 : 846 – 849 . and Robert Weinstock, ‘Dismantling a centuries-old myth: Newton's Principia and inverse square orbits', American Journal of Physics, 50 (1982), 610–17.
  • Erlichson , Herman . 1990 . Comment on “Long-buried dismantling of a centuries-old myth: Newton's Principia and inverse-square orbits” by Robert Weinstock [Am. J. Phys., 57, 846–9 (1989)] . American Journal of Physics , 58 : 882 – 884 . and Herman Erlichson, ‘A Response to Robert H. Romer's “Editor's Note”’ [Am. J. Phys., 58, 882 (1990)], American Journal of Physics, 58, 886.
  • Newton , I. 1687 . Philosophiae Naturalis Principia Mathematica translated into English by Andrew Motte in 1729, revised by Florian Cajori (University of California Press, Berkeley and Los Angeles, 1934). All Principia references in this paper will be to the Cajori edition.
  • Newton , I. 1687 . Philosophiae Naturalis Principia Mathematica 14 – 14 .
  • Newton , I. 1687 . Philosophiae Naturalis Principia Mathematica 49 – 49 .
  • Newton , I. 1687 . Philosophiae Naturalis Principia Mathematica 52 – 52 .
  • Newton , I. 1687 . Philosophiae Naturalis Principia Mathematica 54 – 54 .
  • Newton , I. 1687 . Philosophiae Naturalis Principia Mathematica 61 – 61 .
  • Unfortunately, Pourciau makes no mention of Proposition XVII in his paper. Instead, he said ‘nobody aware of how much Newton knew about both conic sections and curvature would ever doubt that he could easily have given a geometric construction of the required conic’, and referred the reader to Book I, sections IV and V, of the Principia (Propositions XVIII to XXIX). Footnote 1, 164.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.