2020 



Equations of Motion 



2020 



Liouville, R. Acta Mth. 19 (1895) 251-. 

 application of Lie's transformation groups. 

 Stackel, P. Leip. Mth. Ps. B. 49 (1897) 



of connected system, proof. Maxwell, J. C. 



[1873] Camb. Ph. S. P. 2 (1876) 292-. 

 conservation of areas. Eadau, E. As. Nr. 



73 (1869) 337-. 

 and kinetic potentials, generalisation. 



Koenigsberger, L. Berl. Ak. Sb. (1898) 



148-. 

 direct deduction of Poisson's theorem (a, /3) = 



const. Sokolov, I. D. (xn) Eec. Mth. 



(Moscou) 2 (1867) (Ft. 1) 247-. 

 form. Ball, (Sir) E. Aust. As. Ep. (1895) 



215-. 

 , general. Appell, P. C. E. 129 (1899) 



423- ; Crelle J. Mth. 121 (1900) 310-. 

 , new. Appell, P. C. E. 129 (1899) 459- ; 



Liouv. J. Mth. 6 (1900) 5-. 

 function S in. Saint-Germain, A. de. C. E. 



130 (1900) 1174. 

 fundamental equation, transformation. Pagani, 



G. M. Crelle J. 17 (1837) 243-. 

 , , general. Pagani, G. M. Brux. Ac. 



Sc. Mm. 12 (1839) 19 pp. 



equations. Dirksen, E. H. Berl. B. (1837) 

 84-. 



, interpretation. Konig, G. [1887] Mag. 



Tud. Ak. Etk. (Mth.) 14 (1892) No. 1, 43 pp. ; 



Mth. Nt. B. Ung. 5 (1886-87) 131-. 

 and Gauss's principle. Appell, P. Crelle J. 



Mth. 122 (1900) 205-. 

 general. Ampere, A. M. [1826] Liouv. J. 



Mth. 1 (1836) 211-. 

 . Binet, J. P. M. Liouv. J. Mth. 2 (1837) 



248-. 

 . Haughton, S. Camb. and Dubl. Mth. J. 



5 (1850) 172-. 

 . Ostrogradsky, M. A. (xn) Eec. Mth. 



(Moscou) [1] (1866) xxvn-. 

 . Gylden, H. Stockh. Ofv. (1884) No. 3, 



5-; Fschr. Mth. (1884) 809-. 

 , in cases of friction. Brassinne, E. Toul. 



Mm. Ac. 1 (1857) 181-. 

 Hamiltonian transformation. Mantel, W. N. 



Arch. Wisk. 18 (1891) 155- ; Fschr. Ps. (1891) 



(Ab. 1) 183-. 

 Hamilton's. Frisiani, P. Mil. Effem. As. 



(1851) 3-. 

 , extension. Mutter, J. J. Ziir. Vjschr. 18 



(1873) 161-. 



partial differential equation, solution of 

 dynamical problems by. Hocevar, F. Wien 

 Ak. Sb. 79 (1879) (Ab. 2) 567-. 



principle for. Padova, E. [1892] Yen. I. 

 At. (1892-93) 21-. 



, transformation. Ebert, W., <& Perchot, J. 



C. E. 126 (1898) 1017-. 

 Hertzian equations. Betti, E. Em. E. Ac. 



Line. Ed. 7 (1891) (Sem. 1) 159-. 

 and infinitesimal kinematics. Neumann, C. G. 



Mth. A. 11 (1877) 379-. 

 integrals, condition to be satisfied by. Laurent, 



H[erm.-] C. E. 63 (1866) 734-. 

 integration. Pennacchietti, G. Catania Ac. 



Gioen. At. 2 (1890) 257-. 



integration, Hamilton's mode. Somov, 0. I. 

 St. Pet. Ac. Sc. Mm. (Es.) 19 (*1871) 119-. 



for heavy solid of revolution on horizontal 

 plane. Appell, P. Palermo Cir. Mt. Ed. 

 14 (1900) 1-. 



--- ------ . Korteweg, D. J. 



Palermo Cir. Mt. Ed. 14 (1900) 7-. 

 invariant systems. Tannenberg, W. de. C. E. 



118 (1894) 1092-. 

 Lagrange's. Weinstein, B. A. Ps. C. 15 (1882) 



675-. 



. McConnel, J. C. Camb. Ph. S. P. 6 

 (1889) 25-. 



. Tannenberg, W. de. C. E. 119 (1894) 

 487-. 



. Beltrami, E. Mil. I. Lomb. Ed. 28 (1895) 

 744-. 



.application. Saint-Germain, A. de. Liouv. 

 J. Mth. 1 (1885) 129-. 



, to impact. Niven, C. Mess. Mth. 4 

 (1868) 82-. 



, -- rigid body. Ball, R. S. [1879] Ir. 

 Ac. P. 3 (1883) 213-. 



, deduction of Euler's equations from. 

 Besant, W. H. [1870] QJ. Mth. 11 (1871) 

 203-. 



, and elliptic coordinates, application to two 

 centres of force. Greenhill, A. G. L. Mth. 

 S. P. 11 (1879-80) 104-. 



, extension. Ferrers, N. M. QJ. Mth. 12 

 (1873) 1-. 



, to case of sliding friction. Appell, P. 

 C. E. 114 (1892) 331-. 



, in generalised coordinates, elementary 

 proof. Ball, E. S. [1876] Ir. Ac. P. 2 

 (1877) 463-. 



, and Hamilton's principle. Appell, P. Par. 

 S. Mth. Bll. 26 (1898) 265-. 



, interpretation. Hayward, E. B. QJ. 

 Mth. 10 (1870) 369-. 



, with kinetic potential of higher order. 

 Koenigsberger, L. Berl. Ak. Sb. (1898) 

 491- ; Mth. A. 51 (1899) 584-. 



, for motion of point. Porta, F. Ev. Mt. 

 3 (1893) 18-. 



, proof for special case of motion of point on 

 surface. Bonnet, O. Liouv. J. Mth. 3 

 (1877) 207-. 



, rotation of solid. Lafon, A. C. E. 51 

 (I860) 724-; Nancy Mm. Ac. Stanislas 2 

 (1860) 170-. 



, --- . Zajaczkowski, L. Arch. Mth. 

 Ps. 46 (1866) 19-. 



, and thermodynamics. Farkas, G. Orv.- 

 Termt. Ets. (Termt. Szak) (1890) 289-. 



, transformation. Cayley, A. As. S. M. 

 Not. 37 (1877) 269-. 



, transformations. Painleve', P. C. E. 115 

 (1892) 495-. 



, use in theory of collisions. Appell, P. 

 Liouv. J. Mth. 2 (1896) 5-. 



of particle. Korkine, A. Mth. A. 2 (1870) 



13-. 

 -- in bipolar coordinates. Wythoff, A. G. 



N. Arch. Wisk. 20 (1893) 26- ; Fschr. Mth. 



(1893-94) 1399. 



point, first integrals. Vivanti, G. Mil. I. 

 Lomb. Ed. 25 (1892) 689-. 



155 



