1630 Kinetics of Chains 



Curve, plane, fixed, motion on. Cherriman, 



J. B. [1882] (xn) Cn. R. S. P. & T. 1 



(1883) (Sect. 3) 15-. 

 , funicular, equations of motion. Resal, 



H. C. R. 75 (1872) 1010-. 

 , , (Resal), proof. Leaute, H. 



Liouv. J. Mth. 6 (1880) 215-. 

 Curves, motion in. August, F. Z. Mth. Ps. 



33 (1888) 321-. 

 Cycloid, motion of heavy thin chain on. Pui- 



seux, V. Liouv. J. Mth. 8 (1843) 71-. 

 Equations for initial tension. Besant, W. H. 



QJ. Mth. 6 (1864) 326-. 



of motion, in any coordinates. Floquet, G. 

 C. R. 131 (1900) 97-. 



, intrinsic, and calculation of tension. 



Floquet, G. C. R. 131 (1900) 666-. 



of thin wire in plane, integration. 

 Moon, R. [1872] QJ. Mth. 12 (1873) 

 241-. 



Free chain, motion in its own curve. August, 

 F. Z. Mth. Ps. 35 (1890) 97-. 



motions. Sludskii, T. A. (xii) Rec. Mth. 

 (Moscou) 8 (1876) (Pt. 1) 381-. 



Network of particles, motion. Eouth, E. J. 



L. Mth. S. P. 15 (*1883-84) 231-. 

 Oscillations of chain bridge. Rohrs, J. H. 



[1851] Camb. Ph. S. T. 9 (1856) 379-. 

 stretched on surface. Michell, J. H. 



Mess. Mth. 19 (1890) 87-. 

 freely hanging chain. Minding, E. F. A. 



Crelle J. 50 (1855) 243-. 

 , problem. Schouten, G. N. Arch. Wisk. 5 



(*1879) 198-. 

 , small. Padova, E. G. Mt. 23 (1885) 



235-. 



in space. Eichler K. [1895] Hamb. Mth. 

 Gs. Mt. 3 (1900) 193-. 



of uniform chain hung by one end. Sang, E. 

 Edinb. R. S. P. 14 (1888) 283-. 



Permanent motion of homogeneous chain. 



Collignon, E. [1880] Par. S. Phlm. Bll. 5 



(1881) 54-. 

 Plane, fixed, motion in. Appell, P. C. R. 103 



(1886) 991- ; Acta Mth. 12 (1889) 1-. 

 , motion in. Floquet, G. C. R. 108 (1889) 



661-. 

 Position of equilibrium, motion of chain slightly 



displaced from. Maggi, G. A. [1880] G. 



Mt. 19 (1881) 1-. 

 Quasi-rigidity of rapidly moving chain. Hop- 



kinson, J. [1878] Birm. Ph. S. P. 1 (1879) 



(Pt. 2) 70-. 

 Rigidity due to centrifugal force. Aitken, J. 



(ofDarroch). [1875] Ph. Mg. 5 (1878) 81-. 

 Space, determination of figure of apparent rest 



of chain in motion in. Leaute, H. C. R. 



89 (1879) 778-. 

 , motion in. Floquet, G. C. R. 115 (1892) 



499- ; 130 (1900) 1745- ; 131 (1900) 27-. 

 , , permanent. Leaute, H. [1879] Par. 



S. Phlm. Bll. 4 (1880) 21-. 

 Tension of cable under Earth's centrifugal force. 



Herschel, A. S. Nt. 43 (1891) 513-. 

 , mean, developed at ends of heavy chain 



oscillating about position of apparent rest. 



Leaute, H. C. R. 90 (1880) 354-. 



Special Systems, etc. 1640 



Transmission of power by cables. Rfsal, H. A. 



C. R. 79 (1874) 421-. 

 . Leaute, H. C. R. 90 (1880) 



498-. 

 chains, over circular arcs. Berger, 



F. Oestr. Z. Brgw. 33 (1885) 7-. 



KINETICS OF FLEXIBLE SURFACES. 



Equilibrium and motion of flexible and ex- 

 tensible surfaces. Picciati, G. G. Mt. 30 

 (1892) 1-. 



Motion of surfaces, theory. Daniele, E. Tor. 

 Ac. Sc. At. 34 (1898) 132- or 256-, 371- or 

 515-. 



1640 Special systems; pendulum, 

 top, gyrostat, bicycle, gover- 

 nors. (See also 0170, 0180, and 

 Astronomy 5100.) 



Balance, Cavendish's torsion-, theory. Brandes, 

 H. W. Voigt Mg. 12 (1806) 300-. 



, oscillations. Stamkart, F. J. Amst. Vh 

 1 (1849) 63-. 



Balances, period of oscillation, means for re- 

 ducing. Verbeek.A. Dingier 304 (1897) 156-. 



, , theory. Anon. Dingier 307 



(1898) 225-, 249-. 



BICYCLE. 



Mancini, E. N. Antol. Sc. 149 (1896) 526-. 

 control of dynamometric pedal. Bouny, . 



C. R. 122 (1896) 1528-. 

 determination of surface of circular track 



(velodrome). Bourlet, C. Palermo Cir. Mt. 



Rd. 13 (1899) 202-. 

 dynamics of bicycling. Stoney, G. Nt. 33 



(1886) 455. 

 energy expended in propelling. Stoney, G. G. t 



<& Stoney, G. J. [1882] Dubl. S. Sc. T. 1 



(1877-83) 307-. 

 . Bouny, . C. R. 122 (1896) 



1391-. 

 equilibrium of rider. Boussinesq, J. C. R. 



127 (1898) 895-. 

 fitting to rider. Crompton, R. E., <& Crompton, 



C. [1899] Nt. 61 (1899-1900) 87-. 

 . Hutchins, D. E. Nt. 61 (1899- 



1900) 368. 

 . Crompton, R. E. Nt. 61 (1899- 



1900) 391. 

 . Massey, W. H. Nt. 61 (1899-1900) 



391-. 

 history. Bourlet, C. Gen. Civ. 33 (1898) 57-, 



73-, 88-, 104-, 119-, 184-, 200-, 217-, 233-, 



251-, 265-, 288-, 309-, 326-, 342-. 

 lateral displacements of rider, effect. Boussi- 

 nesq, J. C. R. 128 (1899) 766-, 859-. 

 and monocycle, motion, theory. Carvallo, E. 



Par. EC. Pol. J. 5 (1900) 118-. 

 motion. Routh, G. R. R. Mess. Mth. 28 



(1899) 151-. 



, dynamical principles. Rankine, W. J. M. 

 Les Mondes 21 (1869) 371-, 484-, 555-, 772-. 



135 



