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References
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Loc. cit. 10).
Cf.H. Poincaré, loc. cit. 2), p. 199. Also 3), p. 380. ProfessorO. Veblen has called my attention to the fact that the space ofprojective geometry also affords an equivalent representing space. This is not, however, the space of the coordinates.
Much of the material presented in this and the following paragraph is given in a different form by Poincaré ; see 2).
F. R. MouLTON,A Class of Periodic Solutions of the Problem of Three Bodies with Application to the Lunar Theory [Transactions of the American Mathematical Society, vol. VII (1906), pp. 537–577]. The possibility of continuation was first established byH. Poincaré,Les méthodes nouvelles de la Mécanique Céleste (Paris, Gauthier-Villars, 1892), vol. I, pp. 79-119, and somewhat later in a paper by T. Levi-Civita,Sopra alcuni criteri di instabilità [Annali di Matematica, ser. Ill, vol. V (1900), pp. 221-307], in particular pp. 282-289.
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L. E. J. Brouwer,über eineindeutige, stetige Transformationen von Flächen in sich [Mathematische Annalen, Vol. LXIX (1910), pp. 176–180].
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Birkhoff, G.D. The restricted problem of three bodies. Rend. Circ. Mat. Palermo 39, 265–334 (1915). https://doi.org/10.1007/BF03015982
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DOI: https://doi.org/10.1007/BF03015982