1610 Kinetics of Particles 



on ring (Tychsen). Lorenz, L. Mth. Ts. 5 

 (1863) 164-. 



rotating plane. Roth, F. Exner Rpm. 22 



(1886) 354- ; 23 (1887) 1-, 338, 457-, 553-, 

 758 ; 24 (1888) 65-, 272. 



sphere. Houston, A. Zur. Vjschr. 10 



(1865) 303-. 



straight line. Ende, H. am. Arch. 

 Mth. Ps. 49 (1869) 121-. 



and helix, application of elliptic 



functions. Dortia, A. [1878-79] Tor. Ac. 

 Sc. Mm. 31 (1879) 247-; 32 (1880) 201-. 



in rotating tube. Ampere, A. M. Gergonne 

 A. Mth. 20 (1829-30) 37-. 



. Church, I. P. Franklin I. J. 124 



(1887) 224-. 



, equations. Ostrogradsky, M. A. 

 St. Pet. Ac. Sc. fill. 4 (1838) 209-. 



along rough curves, work done in. Collignon, 

 E. As. Fr. C. R. (1891) (Pt. 2) 205-. 



on sphere. Puiseux, V. Liouv. J. Mth. 7 

 (1842) 517-. 



. Tissot, A. Liouv. J. Mth. 17 (1852) 



88-. 



. Chailan, . Par. S. Mth. Bll. 17 



(1889) 112-. 



. Kobb, G. G. R. 108 (1889) 559-. 



, with astronomical application. Col- 

 lignon, E. As. Fr. C. R. (1885) (Pt. 2) 

 107-. 



, under attraction to point on surface. 



Combescure, E. Gould As. J. 4 (1856) 41-, 

 49-, 60-, 66-. 



, Kepler's laws extended to. Neumann, C. 



Leip. Mth. Ps. B. 38 (1886) 1-. 



, under meridian forces with potential 

 Ax,*+Bx+CxJ. Bottcher, J. E. Z. Mth. 

 Ps 21 (1876) 145-. 



, singular solutions in. Finck, B. N. 

 A. Mth. 1 (1862) 139-. 



spherical elliptic. Decker, B. Arch. Mth. 



Ps. 5 (1887) 430-. 

 on spiral curves. Cabreira, A. G. Teix. J. 



Sc. 13 (1897) 49-. 



surface. Brioschi,F. [1852] Mod. Mm. S. 

 It. 25 (1855) 155-. 



. Guiraudet, P. (xn) Lille S. Mm. 



9 (1871) 489-. 

 . Resal, H. A. Liouv. J. Mth. 3 (1877) 



79-. 

 . Saint-Germain, A. de. Bll. Sc. Mth. 



16 (1892) 223-. 

 of ellipsoid. Craig, T. Am. J. Mth. 1 



(1878) 359-. 

 . 'Roberts, W. R. W. L. Mth. S. 



P. 14 (1882-83) 230-. 

 , under forces having potential 



function. Arcais, (Dr.) F. d'. Pisa A. 



Scuola Norm. 1 (1871) 157-. 

 , equations. Mainardi, G. Mil. At. I. 



Lomb. 1 (1858) 108-. 

 , with friction. Dieu, T. (rx) Lyon Ac. 



Mm. Sc. 20 (1873-74) 277-. 

 , . Stackel, P. Leip. Mth. Ps. B. 



46 (1894) 197-. 

 , . Razzaboni, A. G. Mt. 34 



(1896) 37-. 



Constrained Motion 1610 



on surface, with friction. Tannenberg, W. de. 



N. A. Mth. 15 (1896) 201-. 

 , property. Hadamard, . Bordeaux S. 



Sc. PV. (1895-96) 47-; C. R. 122 1896) 



983-. 

 of revolution. Steen, A. Mth. Ts. 3 



(1861) 1-. 

 . Darboux, G. Par. S. Mth. Bll. 



5 (1877) 100-. 

 . Amoroso, N. G. Mt. 19 (1881) 



380-. 

 . Staude, 0. Acta Mth. 11 (1887- 



88) 303-. 

 . Puglisi, M. Palermo Cir. Mt. 



Rd. 12 (1898) 312-. 

 ' with axis vertical. Bertram, T. 



Arch. Mth. Ps. 59 (1876) 193-. 

 . Boussinesq, J. C. R. 



85 (1877) 539-; 86 (1878) 959-. 

 of 4th degree. Schmitt, F. Mh. 



Mth. Ps. 5 (1894) 109-. 

 , equations. Kobb, G. Stockh. 



Ofv. (1886) 367-; (1887) 159- ; Acta Mth. 10 



(1887) 89-. 

 , inverse problem. Resal, H. A. 



C. R. 90 (1880) 889-, 937-. 

 , and other problems. Resal, 



H. A. Liouv. J. Mth. 7 (1881) 33-. 

 , reduction to hyperelliptic integrals. 



Stackel, P. Mth. A. 41 (1893) 571-. 



, separation of variables in equations. 

 Morera, G. Tor. Ac. Sc. At. 16 (1880) 

 276-. 



tore, under no forces. Puglisi, M. Palermo 

 Cir. Mt. Rd. 14 (1900) 180-. 



variable surfaces. Walton, W. Camb. 

 Mth. J. 3 (1843) 49-. 



vertical parabola, elliptic integrals. Oeking- 

 )MUS, E. Arch. Mth. Ps. 7 (1889) 34-. 



plane curve. Schlomilch, 0. Schlomilch 



Z. 4 (1859) 300-. 



Bead sliding with uniform velocity on smooth 



circular wire, solution of problem. Greenhill, 



A. G. Mess. Mth. 8 (1879) 151-. 

 Brachistochrones. Euler, L. [1780] St. 



Pet. Ac. Sc. Mm. 8 (1822) 17-, 29-. 

 . Roger, E. Liouv. J. Mth. 13 (1848) 41-. 

 . Pennacchietti, G. Catania Ac. Gioen. 



At. 3 (1891) 335-. 

 , cycloids as. Grunert, J. A. Grunert 



Arch. 7 (1846) 308-. 

 , determination. Bresse, . C. R. 74 



(1872) 854-. 

 , , geometrical. Saint-Germain, A. de. 



N. A. Mth. 5 (1886) 177-. 

 , elementary solution of general problem. 



Resal, H. A. N. A. Mth. 16 (1877) 97-. 

 , theory. Resal, H. A. N. A. Mth. 19 



(1880) 385-. 

 , free paths, and curvature of path of rayj 



relations. Everett, J. D. B. A. Rp. (1889) 



498-. 

 , general. D. [1839] Camb. Mth. J. 2 



(1841) 45-. 

 , problem. Loffler, A. Wien SB. 41 (1860) 



53-. 



122 



