N.Y. 



Yen. 



2030 Varying Action 



Equations of dynamics. Chessin, A . S. 



Am. Mth. S. Bll. 5 (1899) 424, 425-. 

 , transformation. Picciati, G. 



I. At. (1895-96) 175-. 

 , variation of constants. Binet, 



J. P. M. C. E. 13 (1841) 65-. 

 equilibrium of flexible and inextensible 



surfaces. Pennacchietti, G. Catania Ac. 



Gioen. At. 8 (1895) Mem. 5, 11 pp. 



The Partial Differential Equations 2030 



Hamilton and Maupertuis, principles. Holder, 

 0. Gott. Nr. (1896) 122-. 



, . Voss, A. Gott. Nr. (1900) 322-. 



Hamiltonian principle, application in hydro- 

 dynamics and aerodynamics. Neumann, C. 

 Leip. Mth. Ps. B. 49 (1897) 611-. 



and equations of dynamics. Shebuev, 



G. N. [1881] (xn) Kazan S. Nt. (Ps.-Mth.) 

 P. 1 (1883) [No. 4] 24-. 



chietti, G. Catania Ac. Gioen. At. 8 (1895) 

 Mem. 10, 4 pp. 



motion for Motionless point systems 

 under inequality of conditions. Mayer, A. 

 Leip. Mth. Ps. B. 51 (1899) (Mth.) 224-, 456. 



Hamiltonian principle of varying action. Tait, 

 P. G. [1877] Ir. Ac. P. 3 (1883) 69. 



theory of motion, mechanical principle 

 resulting from. Milller, J. J. A. Ps. C. 

 152 (1874) 105-. 



Hamilton-Jacobi theory for forces, measure of 

 which depends on the motion of the bodies. 

 Schering, E. Gott. Ab. 18 (1873) 54 pp. 



Infinitesimal transformations of trajectories of 

 systems. Painleve, P. C. E. 119 (1894) 



integration. Pennac- * , significance, and Weber's law. 



LEAST ACTION. 



Sokoloff, J. C. E. 55 (1862) 46-. 



Dienger, J. Arch. Mth. Ps. 41 (1864) 194-. 



Sludskil, T. A. [1866-68] (xn) Eec. Mth. 



(Moscou) 2 (1867) (Pt. 1) 45-; 4 (1869-70) 



(Pt. 1) 225-. 

 Sokolov, I. D. (xn) Eec. Mth. (Moscou) 5 



(1870) (Pt. 1) 179-. 

 Serret, J. A. G. E. 72 (1871) 697- ; 73 (1871) 



145-, 293-; Par. Ac. Sc. Mm. 38 1873) 



151-. 

 Somov, I. I. [1872] (xn) Eec. Mth. (Moscou) 



5 (1870) (Pt. 1) 303- ; 6 (1872-73) (Pt. 1) 



466 a. 

 Baehr, G. F. W. Amst. Ak. Vs. M. 14 (1879) 



232-. 



Rachmaninoff, 1. 1. Z. Mth. Ps. 24 (1879) 206-. 

 Serret, J. A. C. E. 89 (1879) 57-. 

 Beke, M. Mag. Tud. Ak. Ets. 18 (1884) 43-. 

 Joukovsky, N. Liouv. J. Mth. 10 (1884) 97-. 

 Sabinine, G. A. Mt. 12 (M883-84) 237-. 

 (Ostrogradsky and Jacobi.) Sabinine, G. A. 



Mt. 15 (1887-88) 27-. 



Kobb, G. Toul. Fac. Sc. A. 5 (1891) D, 3 pp. 

 Rethy, M. [1894-95] Mth. Termt. Ets. 13 



(1895) 1-, 299-; Mth. Nt. B. Ung. 13 (1897) 



application. .Larmor, J. L. Mth. S. P. 15 



(1883-84) 158-. 

 to finding equations of motion. Rodrigues, 



(Dr.) . Par. EC. Pol. Cor. 3 (1814-16) 



159-. 

 applications to constrained systems. Bardelli, 



G. Mil. I. Lomb. Ed. 17 (1884) 89-. 

 and Gauss's theory of curvature. Beke, M. 



Mth. Termt. Ets. 2 (1884) 133- ; Mth. Nt. B. 



Ung. 2 (1883-84) 282-. 

 generalisation. Rethy, M. Mth. Termt. Ets. 



14 (1896) 267- ; Mth. Nt. B. Ung. 13 (1897) 



270-. 



Scheibner, W. Leip. Mth. Ps. B. 49 (1897) 



578-. 

 Helmholtz's form of statement. Suslov, G. K. 



[1897] Eec. Mth. (Moscou) 20 (1899) 105- ; 



Fschr. Mth. (1897) 612. 

 history. Helmholtz, H. von. Berl. Ak. Sb. 



(1887) 225-. 



and infinitesimal transformation in dynamical 

 problems. Kneser,A. Dorpat Sb. 10 (1895) 

 501-. 



and two memoirs of Liouville. Ostrogradsky, 

 M. A. (xn) Eec. Mth. (Moscou) [1] (1866) 



XX VII- . 



minimum of an integral. Sabinine, G. A. 

 Mt. 14 (1886-87) 13-. 



quantity in. Liouville, J. C. E. 42 (1856) 

 1146-. 



particle on surface under no forces, theorem. 

 Lipschitz, R. Bonn SB. Niedr. Gs. (1871) 

 121-. 



passage in "Mecanique Analytique." Bras- 

 sinne, E. C. E. 94 (1882) 1110-. 



physical significance. Helmholtz, H. von. 

 [1886] Crelle J. Mth. 100 (1887) 137-, 213-. 



proof for certain forces. Laves, K. N. Y. 

 Am. Mth. S. Bll. 6 (1900) 373, 376-. 



theorems of calculus of variations correspond- 

 ing to. Mayer, A. Leip. Mth. Ps. B. 38 

 (1886) 343-. 



2nd variation of Hamilton's integrals, dynami- 

 cal significance. Novikov, P. M. Kharkov 

 Mth. S. Com. (1884) 65- ; Fschr. Mth. (1884) 

 801. 



Mechanical problems, use of series given by 

 Gauss in. Lampe, E. Berl. Ps. Gs. Vh. 



(1888) 47-. 



Mechanics of solids treated by calculus of 



variations. Piola, G. Opusc. Mt. Fis. 1 



(1832) 201-. 

 Motion of point system under inequality of 



conditions. Zermolo, E. Gott. Nr. (1899) 



306-. 



system of particles. Pennacchietti, G. 

 [1891] Catania Ac. Gioen. At. 4 (1892) Mem. 

 5, 12 pp. 



Principle of last multiplier. Jacobi, C. G. J. 



G. Arcad. 99 (1844) 129-. 

 . Boltzmann, L. Mth. A. 42 



(1893) 374-. 

 Trajectories, on given surface or in space, 



rendering minimum / <f> (v) ds. Roger, E. 

 C. E. 40 (1855) 1176-. 

 , minimal, 51 2 <j> (v) ds = 0. Schuringa, P. 



[1872] Arch. Neerl. 8 (1873) 1-. 



158 



