APPLIED MATHEMATICS 189 



SuGiHARA, T., Side Thrust due to Obliquity of the Connecting Rod in a 



High-Speed Reciprocating Engine, Tech. Rep. Toh. Imp. Univ., ii, 



192 1, 17-26. 

 HuLBURT, E. O., The Path of a Rigid Electron which moves in a Magnetic 



Field of Constant Strength Rotating with Constant Angular Velocity, 



Phys. Rev., xix, 1922, 329-32. 

 MicHAUD, E., Generalisation du theoreme de Reech, nouveaux critSres de 



stabilite et d'instabilite de I'dquilibre, Ann. de Phys., xvi, 1921, 131-55. 

 LiPKA, J., Motion on a Surface for any Positional Field of Force, Proc. Nat. 



Acad. Sci., U.S.A., 6, 1920, 621-4. 

 Buchanan, D., Periodic Orbits on a Surface of Revolution, Amer. Jour. 



Math., xlii, 1920, 47-75. 

 BiRKHOFF, G. D., Surface Transformations and their Dynamical Applica- 

 tions, Acta Math., 43, 1920, 1-119. 

 Darwin, C. G., The Dynamical Motion of Charged Particles, Phil. Mag., 



(vi) 39, 1920, 537-51- 

 Darwin, C. G., Lagrange's Methods for High-Speed Motion, Pwc. Canih. 



Phil. Soc, XX, 1920, 56-60, dealing with the complications introduced 



by changes in mass and retarded potentials. 

 BiLiMOViTCH, A., Sur les Equations intrinsdques du mouvement d'un corps 



solide, Comptes Rendus, 171, 1920, 616-18. 

 Bennett, G. T., The Rotation of the Non-Spinning G)Tostat, Proc. Camb. 



Phil. Soc, XX, 1920, 70-3 ; see also G. Greenhill, ibid., xx, 192 1, 



243-5, and G. T. Bennett, ibid., 245-6. 

 Fatou, G., Sur le mouvement d'une plan^te dans un miUeu resistant, Comptes 



Rendt'is, 174, 1922, 1162-5, 1330-2, the resistance varying as the velocity. 



See also J. Chazy, ibid., 1280-2, who adopts a more general hypothesis 



of resistance. 

 Greaves, W. M. H., The Existence Theorem for certain Periodic Orbits in 



the Restricted Problem of Three Bodies, M.N., R.A.S., Ixxxii, 1922, 



134-49- 

 Becker, L., Elimination of known Integrals from the n-'Body Problem, 



M.N., R.A.S., Ixxxi, 1920, 787-91. 

 Chazy, J., Sur la stabihte k la Poisson dans le probl^me des trois corps, 



Comptes Rendus, 173, 1921, 517-19, 576-8. 

 Chazy, J., Sur Failure du mouvement dans le probleme des trois corps 



quand le temps croit indefiniment, ibid., 170, 1920, 1560-3, 

 Goursat, E., Sur la th6orie des invariants integraux, ibid.,V7i, 1922, 1089-91. 

 Potter, H. H., Note on the Gravitational Acceleration of Bismuth, Phys. 



Rev., xix, 1922, 187-8, showing that it is the same as for brass, within 



1 in 50,000. 

 WuLF, T., Zum Nachweis der Newtonschen allgemeinen Massenziehung, 



Phys. Zeit., xxiii, 1922, 154-7. 

 Briggs, L. J., Measurement of Gravity at Sea, Bull. Nat. Res. Council, 



U.S.A., 3, 1922, 3-11. 

 Lees, C. H., On the Mechanical EquiUbrium of a Sphere of Gravitating 



Fluid, Proc. Lond. Phys. Soc, xxxii, 265-70, xxxiii, 116-23, dealing 



with compressible fluid. 

 Greenhill, G., The Uniaxial Potential Function and its Orthogonal Force 



Function contrasted. Jour, de Math, pures et appl., (8) iv, 192 1, 155-94- 

 Nicholson, J. W., Problems Relating to a Thin Plane Annulus, Proc. Roy. 



Soc, A, 101, 1922, 195-210, taking the annulus to be represented by a 



thin Elliptic Anchor Ring. 

 WiLKOsz, W., Sur un point fondamental de la th^orie du potential, Comptes 



Rendus, 174, 1922, 435-7- 

 Evans, G. C, Problem of Potential Theory, Proc. Nat. Acad. Sci., U.S.A., 7, 



1921, 89-98. 



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