1610 Systems of Particles 



Equations. Alle, M. Wien Ak. Sb. 73 (1876) 

 (Ab. 2) 25-. 



of condition that define a system. Bourget, 

 J. N. A. Mth. 17 (1858) 449-. 



, fundamental. Lorenz, L. V. (xn) Ts. 

 Mth. 5 (1875) 81-. 



of relative motion, reduction to canonical 

 form. Klyushnikov , A. A. (xn) Kharkov 

 Mth. S. Com. (1880) 3-. 



system under attracting and repelling 

 forces. Tortolini, B. G. Arcad. 62 (1834-35) 



Equilibrium of kinetic energy. Boltzmann, L. 



Wien Sb. 58 (1868) (Ab. 2) 517-. 

 Invariable plane. Poisson, S. D. Ferussac 



Bll. Sc. Mth. 9 (1828) 361-. 

 , property of systems having. Radau, R. 



C. E. 68 (1869) 145- ; Liouv. J. Mth. 14 



(1869) 167-. 

 Mechanical laws, deduction by considering 



bodies as aggregations of molecules. Coriolis, 



G. Par. J. EC. Pol. 24 cah. (1835) 93-. 

 Mutually attracting particles. Schrader, K. W. 



0. Hamb. Mth. Gs. Mt. 1 (1889) 6-. 

 in space. Schiaparelli, G. V. Mil. I. 



Lomb. Ed. 1 (1864) 67-. 

 or repelling particles. Betti, E. A. Mt. 



8 (1877) 301-. 

 and repelling particles, function peculiar 



to system. Haughton, S. Ir. Ac. P. 4 (1850) 



460-. 

 Non-periodic motions. Cerruti, V. Km. B. 



Ac. Line. At. 3 (1876) (Pte. 2) 244-. 

 Orbit of a system. Padova, E. Ven. I. At. 1 



(1882-83) 913-. 

 Particles of finite size. Cauchy, A. L. C. B. 



18 (1844) 774-. 

 Planetary motion, extension of Delaunay's 



method. Hill, G. W. N. Y. Am. Mth. S. 



T. 1 (1900) 205-, 508-. 

 Potential forces, motion under. Mayer, A. 



Leip. Mth. Ps. B. 51 (1899) (1ft*.) 1-. 

 Problem of 2 and 3 bodies, new forms of 



integrals in. Seydler, A. Wien Ak. Sb. 89 



(1884) (Ab. 2) 851-. 

 3 bodies. Gasparis, A. de. Nap^Bd. 4 



(1865) 107-, 151-, 176-, 223-. 

 . Rudio, F. Crelle J. Mth. 100 



(1887) 442-. 

 . Mestschersky, J. Bll. Sc. Mth. 



18 (1894) 170-. 

 . Grave, D. N. A. Mth. 15 (1896) 



537-. 

 , connected problem. Charlier, C. 



V. L. St. Pet. Ac. Sc. Mm. 36 (1889) No. 8, 



18pp. 

 , and equations of dynamics. Poin- 



care, H. Acta Mth. 13 (1890) 270 pp. 

 , Lagrange's solution. Gylden, H. 



Stockh. Ofv. (1884) No. 1, 3-. 

 , new form of equations for. Poin- 



care, H. Acta Mth. 21 (1897) 83-. 

 , special case. Harzer, P. St. Pet. 



Ac. Sc. Mm. 34 (1886) No. 12, 156 pp. 

 n bodies. Dillner, G. Ups. S. Sc. N. 



Acta (Vol. extra ord.) (1877) (No. 6) 18 pp. 



Kinetics of Rigid Bodies 1620 



Bod, motion of 2 particles connected by. 

 Francois, J. F. Gergonne A. Mth. 4 (1813- 

 14) 305-. 



Spring, motion of 2 particles connected by. 

 Lecornu, L. C. B. 118 (1894) 398-. 



Stellar systems, binary, Newtonian law ex- 

 tended to. Porro, F. Palermo Cir. Mt. Bd. 

 5 (1891) 51-. 



Velocity, impulsive changes. Cauchy, A. L. 

 C. B. 43 (1856) 1137-. 



1620 Kinetics of rigid bodies 

 (including impulses, initial 

 motions arising from removal 

 of constraint). 



(See also 0430, 3260.) 



Analytical researches on motion of solids. 



Franke, J. N. [1873] (xn) Krk. Ak. (Mt.- 



Prz.) Pam. 1 (1874) 65-. 

 Areas, conservation. Appell, P. C. B. 119 



(1894) 770-. 

 , , apparatus to shew consequences. 



Deprez, M. C. B. 119 (1894) 767-. 

 , , apparent contradiction. Appell, P. 



Par. S. Mth. Bll. 22 (1894) 190-. 

 , , application. Lecornu, L. C. B. 119 



(1894) 899-. 

 Axes, centrifugal, three. Brassinne, E. C. B. 



90 (1880) 1271- ; Toul. Ac. Sc. Mm. 2 



(1880) (Pt. 2) 93-; C. B. 93 (1881) 49-. 

 , fixed, central forces of bodies revolving 



about. Martin, J. Silliman J. 39 (1840) 



262-. 

 , instantaneous, correct expression for Eu- 



lerian nutation referred to. Folie, F. Brux. 



Ac. Bll. (1900) 462-, 616-. 



of maximum and minimum reluctance of 

 body revolving about fixed point. Walton, W. 

 [1865] QJ. Mth. 7 (1866) 376-. 



; motion of body whose original axis of 



rotation was not free. Rouvroy, W. von. 



Z. Mth. Ps. 9 (1864) 401-. 

 , moving, motion of body referred to, general 



equation for. Petrini, H. N. Ts. Mth. 11 



(B) (1900) 1-. 

 , , transformation of fundamental formula 



to. Pagani, G. M. [1833] Quetelet Cor. 



Mth. 8 (1834) 62-. 

 , permanent, in rigid systems. Padova, E. 



Ven. I. At. 1 (1882-83) 1243-. 

 , principal, and permanent axes in any rigid 



system. Turazza, D. Ven. Mm. I. 12 (1864) 



411-. 



of rotation, free. Osann, G. Wiirzb. Nw. 

 Z. 1 (1860) 157-. 



, permanent. Quetelet, L. A. J. Que- 

 telet Cor. Mth. 3 (1827) 208-. 



, . Mogul, A. G. Mt. 2 (1864) 289-. 



, , etc. Chelini, D. Bologna Ac. 



Sc. Mm. 8 (1877) 273-. 



, . Mlodzeevskij, B. K. Mosc. S. 



Sc. Bll. 91 (No. 1) (1894) 46-; Fschr. Ps. 

 >. D 



(1895) (Ab. 1) 328. 



127 



