2090 



Oscillations about Equilibrium 



2100 



OSCILLATIONS. 



of astatic systems. Cassiani, . At. Sc. It. 



(1843) 468-. 

 calculation of mean point. Kurz, A. Exner 



Epm. 20 (1884) 165-. 

 circular, of particle on surface of revolution. 



Foucault, [J. .] L. C. B. 61 (1865) 515-. 

 of cylinder with eccentric centre of gravity. 



Bender, C. Arch. Mth. Ps. 60 (1877) 113-. 

 damped slightly, synchronisation. Cornu, A. 



Par. S. Ps. Se. (1887) 150-. 

 forced and free, demonstration of Daniel 



Bernoulli. Jonquieres, J. P. E. de F. de. 



C. B. 103 (1886) 617-. 

 harmonic, reaction of system executing, and 



applications to electricity. Eayleigh, (Lord). 



Ph. Mg. 21 (1886) 369-. 

 of heavy string. South, E. J. Mess. Mth. 1 



(1872) 51-. 

 infinitely small, of material systems. Jordan, 



C. C. B. 74 (1872) 1395-. 

 paradoxical case. Stokes, G. G. Mess. Mth. 



1 (1872) 1-. 

 (Stokes). Ferrers, N. M. Mess. Mth. 1 



(1872) 21. 

 rectilinear, of particle, theory. Plana, G. 



[1833] Quetelet Cor. Mth. 8 (1834) 18-. 

 small, of conservative systems about position 



of equilibrium. Umov, I. N. Bs. S. Nt. 



Mm. (Mth.) 4 (*1883). 

 , to any degree of approximation. Eouth, 



E. J. (xi) L. Mth. S. P. 5 (1873-74) 



101-. 

 , finite. Holditch, H. [1843] Camb. Ph. S. 



T. 8 (1849) 89-. 



, Lagrange's determinantal equation, occur- 

 rence of equal roots in. Purser, F. B. A. 



Bp. (1878) 463-. 

 , of periodic system of particles. Christoffel, 



E. B. Crelle J. Mth. 63 (1864) 273-. 

 , rigid body fixed at one point. Yvon- 



Villarceau, A. C. B. 71 (1870) 762-. 

 , entirely free. Cerruti, V. [1876] 



Em. E. Ac. Line. Mm. 1 (1877) 345-. 

 , system of particles, algebraic equation. 



Somoff, J. St. Pet. Ac. Sc. Mm. 1 (1859) 



No. 14, 30 pp. 

 , under 'periodic forces. Vicaire, E. 



C. E. 112 (1891) 82-. 

 , about position of equilibrium. 



Kerkhoven-Wythoff, A. G. N. Arch. Wisk. 



4 (1899) 205-. 

 , water contained in cylinder. Poisson, 



S. D. Gergonne A. Mth. 19 (1828-29) 225-. 

 theoretical researches. Rethy,M. (xn) Orv.- 



Term. Ets. 5 (1880) (Term. Szak) 1-. 

 theory. Thiesen, M. Berl. Ak. Sb. (1889) 



277-. 

 , and cyclic curves. Eichler, . Hamb. 



Mth. Gs. Mt. 2 (1890) (Festschr., Tl. 2) 92-. 



Pendulum, verification of law. Rouslacroix, A . 



Ev. Sc. 7 (1897) 411. 

 Pendulums, method of exhibiting sympathy. 



Tait, P. G. Edinb. E.' S. P. 7 (1872) 773-. 



Periodic functions, real, derived from equation 

 Weierstrass, C. Berl. Mb. 



(1866) 97-, 185. 

 Eeaction of resonating system. Wien, M. A. 



Ps. C. 61 (1897) 151-. 

 Booking stones. Routh, E. J. (xi) L. Mth. 



S. P. 5 (1873-74) 100. 

 Statical theorem. Rayleigh, (Lord). Ph. Mg. 



48 (1874) 452- ; 49 (1875) 183-. 

 Swinging magnets, systems of, attraction and 



repulsion. Frohlich,!. [1891] Mag.Tud.Ak. 



Etk. (Mth.) 14 (1892) No. 5, 46 pp. ; Mth. 



Nt. B. Ung. 9 (1892) 90-. 

 Tautochrones. Koenigs, G. Par. S. Phlm. 



Bll. 5 (1893) 195-. 

 Vibrating system, vis visa. Quet, . C. B. 



75 (1872) 1616-. 



, (Quet). Lucas, F. C. E. 75 



(1872) 1698-. 



Vibration of conjoined pendulums, experi- 

 ments. Oberbeck, A. A. Ps. C. 34 (1888) 

 1041-. 



, forced, period for which amplitude is a 

 maximum. Wien,M. A.Ps.C.58(1896) 725-. 



in its gravest mode, frequency, with 

 example from hydrodynamics. Rayleigh, 

 (Lord). Ph. Mg. 47 (1899) 566-. 



Vibrations, elliptic, geometrical properties. 

 Cotton, A. J. de Ps. 4 (1895) 416-. 



of higher order of abnormal intensity in 

 mechanisms with several degrees of freedom. 

 Korteweg, D. J. Amst. Ak. Vh. (Sect. 1) 5 

 (1897) No. 8, 31 pp. ; Arch. Neerl. 1 (1898) 



, infinitely small, of systems of particles. 



Cauchy, A. L. C. E. 29 (1849) 643-. 

 , large, damping. Chwolson, 0. St. Pet. 



Ac. Sc. Mm. 26 (1879) (No. 14) 39 pp. 

 Vibratory motion and equilibrium of solids. 



Cauchy, A. L. C. E. 32 (1851) 323-. 

 Wave-motion. Laurent, P. A. C. E. 21 



(1845) 1160-. 



2100 Oscillations about a state of 

 motion ; stability and instability; 

 kinetic foci. 



Conditionally periodic functions. Staude, 0. 



Crelle J. Mth. 105 (1889) 298-. 

 Determination of constants in theory of per- 

 turbations. Wolf, M. D. Nf. Tbl. (1889) 



196-. 

 Equations of small oscillations of inextensible 



thread moving in space. Leaute, H. C. B. 



90 (1880) 290-. 

 Equilibrium and motion of material systems, 



theorems. Lucas, F. C. B. 74 (1872) 1176-. 

 Figures of equilibrium, secondary, in triple 



stars. Matthiessen, L. Schlomilch Z. B 



(1863) 457-. 

 Instability of periodic motion. Thomson, W. 



E. S. P. 50 (1892) 194-. 



solutions, cases. Levi-Civita, . 

 C. E. 131 (1900) 170-. 



162 



