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Motion on a Surface for Any Positional Field of Force

Joseph Lipka
Proceedings of the American Academy of Arts and Sciences
Vol. 56, No. 4 (Mar., 1921), pp. 157-182
DOI: 10.2307/20025840
Stable URL: http://www.jstor.org/stable/20025840
Page Count: 26
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Notes and References

This item contains 5 references.

[Footnotes]
  • 1
    This reference contains 2 citations:
    • Edward Kasner, "The trajectories of dynamics," Trans. Am. Math. Soc., 7 (1906), pp. 401-424
    • "Dynamical Trajectories: the motion of a par- ticle in an arbitrary field of force," Trans. Am. Math. Soc., 8 (1907), pp. 135- 158
  • 2
    E. T. Whittaker, Analytical Dynamics, p. 39.
  • 5
    This reference contains 2 citations:
    • Basset, Elementary treatise on cubic and quartic curves, chapt. IX
    • Loria, Specielle algebraische und transscendente ebene Kurven, pp. 102-108
  • 7
    This reference contains 2 citations:
    • "Natural families of curves in a general curved space of N dimensions," Trans. Am. Math. Soc., vol. 13 (1912), pp. 77-95
    • "Some geometric investigations on the general problem of dynamics," Pro- ceedings of the Am. Academy of Arts and Sciences, Vol. 55 (1920), pp. 285-322.
  • 8
    This reference contains 2 citations:
    • "Geometric characterization of isogonal trajectories on a surface," Annals of Math., 2d series, 15 (1913), pp. 71-77
    • "Note on velocity systems in curved spece of n-dimensions," Bull. Am. Math. Soc. 2d series, 27 (1920), pp. 71-77.