2010 



Mechanics, the Differential Equations 



properties. Cerruti, V. As. Fr. C. E. 5 (1876^ 



theorem, analogue to. Rayleigh, (Lord). Ph. 

 Mg. 50 (1900) 210-. 



VIS VIVA. 



Gough, J. Manch. Ph. S. Mm. 2 (1813) 270-. 

 Anon, (vi 887) N. A. Mth. 14 (1855) 105-. 

 Gosiewski, W. Par. T. Nauk Sc. Pam. 3 



(*1873) 207- ; Bll. Sc. Mth. As. 6 (1874) 



157-. 

 and equilibrium. Siacci, F. C. B. 123 (1896) 



395-. 

 generalisation of Konig's theorem. Fouret, G. 



Par. S. Mth. Bll. 14 (1886) 142-. 

 of moving solid. Bonnet, 0. Mntp. Mm. Ac. 



1 (1847-50) 140-. 

 resolution. Barre" de Saint-Venant, . Par. 



S. Phlm. PV. (1846) 117-. 

 of system of bodies. Picart, . Bordeaux S. 



Sc. Mm. 5 (1895) xxiv-. 

 , Konig's theorem. Gilbert, P. C. E. 



101 (1885) 1054-, 1140. 

 variations of velocity produced by sudden 



impacts in system of material points. Mayer, 



A. Leip. Mth. Ps. B. 50 (1898) (Mth.) 246-; 



51 (1899) (Mth.) 215-, 456. 



2020 



Sm/(v), theorem on. Laisant, C. A. Par. 

 S. Mth. Bll. 21 (1893) 151-. 



2020 Forms of the differential 

 equations (including dissipa- 

 tive systems). (See also 0420 

 and Mathematics 5630.) 



Analytical mechanics. Neumann, C. Leip. 



Mth. Ps. B. 51 (1899) (Mth.) 371-. 

 Arbitrary constants, variation. Lagrange, J. L, 



Par. Mm. de PI. (1809) 343-. 

 Canonical equations, Jacobi's theorems. Stone, 



0. A. Mth. 7 (1892-93) 102-. 

 , transformation. Siacci, F. Em. E. 



Ac. Line. T. 4 (1880) 236-. 

 .simultaneous. Nekrasov, P. A. [1895- 



96] Eec. Mth. (Moscou) 18 (1896) 689-, 



713- ; Fschr. Mth. (1896) 271, 272. 



, systems integrable by quadratures. 

 MeRerskij, I. V. Eec. Mth. (Moscou) 18 

 (1896) 111-; Fschr. Mth. (1896) 271, 273. 



variables, transformation of one system into 

 another. Vostokov, I. A. [18901 Vars. S. 

 Nt. Tr. (1890-91) (C. R., Ps. C.) No. 7, 1-. 



Central forces. Townbridge, D. Camb. (M.) 

 Mth. M. 2 (1860) 150- ; 3 (1861) 245-. 



motions, generalisation of theorem. Staude, 

 0. Dorpat Sb. 10 (1895) 328-. 



, relations between characteristic quanti- 

 ties. Clausius, R. Gott. Nr. (1872) 600-. 



Centres about which system of bodies, acted on 

 only by their own attractions, moves as about 

 fixed points. Radau, R. C. E. 66 (1868) 

 1262. 



Chain (continuous impulse), problems. Cayley, 



A. E. S. P. 8 (1856-57) 506-. 

 Characteristic function. Hamilton, (Sir) W. R. 



Phil. Trans. (1834) 247- ; (1835) 95-. 

 , Hamilton's, application to special cases 



of constraint. Tait, P. G. [1865] Edinb. 



E. S. T. 24 (1867) 147-. 



, , determination, simple. Grinwis, 

 C. H. C. Amst. Ak. Vs. M. 13 (1878) 342- ; 

 Arch. Neerl. 14 (1879) 130-. 



for rotation under no forces. Siacci, F. 



Nap. Ac. At. 6 (1894) M. 13, 25 pp. 

 Constrained motion , Jacobi ' s equation . Suslov , 



G. [1884] St. Pet. Ac. Sc. Mm. (Rs.) 49 



(1885) 18-. 

 Constraint of material system in generalised 



coordinates. Radakovic, M. Mh. Mth. Ps. 



7 (1896) 27-. 

 Dissipative function, kinetic interpretation. 



Natanson, L. C. E. 117 (1893) 539-. 



systems, theorem relating to time-moduli. 

 Rayleigh, (Lord). B. A. Ep. (1885) 911-. 



Dissipativity, maximum, theorem. Becker, 

 G. F. Am. J. Sc. 31 (1886) 115-. 



Dynamical principles, application to physical 

 phenomena. Thomson, J. J. [1885-87] 

 Phil. Trans. 176 (1886) 307- ; (A) 178 (1888) 



theory of physical changes of system. 

 Natanson, W. Krk. Ak. (Mt.-Prz.) Ez. 15 

 (1899) 220- ; Z. Ps. C. 26 (1898) 285-. 



Dynamics, a method in. Newcomb, S. Gould 



As. J. 5 (1858) 121-. 

 , modern methods. Basset, A. B. Nt. 45 



(1892) 516-. 

 , new principle. (Moments of momentum.) 



Binet, J. P. M. Par. EC. Pol. J. 19 e cafe. 



(1823) 163-. 

 , problems with equations admitting an 



infinitesimal transformation. Stdckel, P, 



C. E. 119 (1894) 508-, 723-. 

 , . (Claim of priority.) 



Staude, 0. C. E. 119 (1894) 903. 

 , . (Staude's claim of 



priority.) Stdckel, P. C. E. 119 (1894) 



1189. 

 Elliptic functions in mechanics. Padova, E. 



Yen. I. At. (1889-90) 547-. 

 Equation of even order, transformation to 



isoperimetric form. Imchenetsky, B. [1886] 



St. Pet. Ac. Sc. Bll. 31 (1887) 283-. 

 Equations of condition in dynamics, applica- 



cation of Poisson's theorem. Mestschersky , J. 



Fschr. Ps. (1890) (Ab. 1) 249-. 

 , fundamental, of mechanics and hydraulics. 



[Bordoni, A. erroneously ascribed to] Ventu- 



roli, G. Brugnatelli G. 5 (1822) 210-. 



EQUATIONS OF MOTION. 



Piola, G. [1845] Mod. Mm. S. It. 24 (1848) 1-. 

 Dienger, J. Grunert Arch. 18 (1852) 91-. 

 Boole, G. Phil. Trans. (1863) 485-. 

 Voss, A. Mth. A. 25 (1885) 258-. 

 Liouville, R. C. E. 114 (1892) 1171- ; 119 



(1894) 367-. 

 Padova, E. Yen. I. At. (1893-94) 1641-. 



154 



