1610 Orbits 



Attracting centre at which force is infinite, 

 motion towards (Hall). Cayley, A. [1873] 

 Mess. Mth. 3 (1874) 149-. 



centres, 2 moving, motion towards. Des- 

 boves, A. H. Liouv. J. Mth. 13 (1848) 

 369-. 



Circular motion and relation to planetary 



motion. Sylvester, J. J. Ph. Mg. 31 (1866) 



52-. 

 Elliptic motion. Baehr, G. F. W. Amst. Ak. 



Vs. M. 11 (1877) 241-. 

 Kindel, P. Arch. Mth. Ps. 15 (1897) 



262-. 

 , disturbed. Thacker, A. Ph. Mg. 9 



(1855) 51-. 

 , expression for coordinates in, in terms 



of the time. Ldska, V. Prag Sb. (1890) 2 



(Mth.-Nt.) 197-. 



round focus, elementary treatment. 

 Todhunter, I. [1866] Camb. Ph. S. P. 2 

 (1876) 16-. 



, formulae. Graindorge, J. Lie"ge S. Sc. 



Mm. 9 (1882) No. 5, 8 pp. 

 , tables of developments of functions in 



theory. Cayley, A. [1859] As. S. Mm. 29 



(1861) 191-. 

 , theorem. Cayley, A. As* S. M. Not. 



35 (1875) 337-. 

 , of Mobius. Mansion, . [1900] 



Brux. S. Sc. A. 25 (1901) (Pt. 1) 71-. 

 , theory. Cayley, A. Ph. Mg. 11 (1856) 



425- ; E. S. P. 10 (1859-60) 430-. 

 , transformation of equations. Ldska, V. 



Prag Sb. (1891) (Mth.-Nt,) 154-. 

 Equation VII, section 8 of Gauss's " Theoria 



Motus." Stone, 0. A. Mth. 1 (1884-85) 



111. 

 Funicular curves, and polygons, analogy. 



Padelletti, D. G. Mt. 14 (1876) 14-. 



polygons and orbits, connection. Helm, G. 

 Z. Mth. Ps. 25 (1880) 217-. 



Graves's theorem in analytical mechanics, 



generalisations. Staude, . Leip. Mth. 



Ps. B. 38 (1886) 199-. 

 Hodograph. Tait, P. G. [1867] Edinb. E. 



S. P. 6 (1869) 221-. 

 . Sokolov, P. K. Kazan S. Ps.-Mth. Bll. 



7 (1898) (Prot.) 118-. 

 , centre of gravity, theorem. Somov, 0. I. 



[1874] St. Pet. Ac. Sc. Bll. 20 (1875) 258-. 

 , circular, isochronism. Droop, H. JR. 



QJ. Mth. 1 (1857) 374-. 

 , , , theorem. Hamilton, (Sir) W. E. 



Ir. Ac. P. 3 (1847) 417, 465-. 

 ,,, -r- (Hamilton). Cayley, A. Ph. 



Mg. 14 (1857) 427-. 

 Lagrange's theorem, and application to Kepler's 



equation. Weiss, E. Wien Ak. D. 49 



(1885) (Ab. 1) 133-. 

 , (Weiss). Stolz, 0. 



Wien Ak. Sb. 95 (1887) (Ab. 2) 199-. 

 Lambert-Euler theorem. Duarte Leite, . 



G. Teix. J. Sc. 10 (1891) 29-; Fschr. Mth. 



(1890) 901. 

 Lambert's angles. Walton, W. QJ. Mth. 5 



theorem. Grunert, J. A. Grunert Arch. 

 16 (1851) 439-. 



Central Forces 1610 



Lambert's theorem. Lindman, C. F. Grunert 



Arch. 33 (1859) 478- ; 34 (1860) 118-. 

 . Cayley, A. As. S. M. Not. 22 (1862) 



239-. 

 . Sylvester, J. J. [1865] As. S. M. 



Not. 26 (1866) 27-. 

 . Cayley, A. As. S. M. Not. 29 (1869) 



318-. 

 , demonstration. Pagani, G. M. Crelle 



J. 12 (1834) 350-. 

 , . Adams, J. C. B. A. Ep. (1877) 



(Sect.) 15-. 

 , . Joukovsky, N. E. (x) Mosc. S. 



Nt. Bll. 58 (1883, Pt. 2) (1884) 302-. 

 , , geometrical. Taylor, C. [1879] 



Camb. Ph. S. P. 3 (1880) 261-. 

 Meteors from the moon, possibility. Drobisch, 



M. W. Leip. B. 18 (1866) 7-. 

 Newton's and Kepler's laws. Helm, G. Arch. 



Mth. Ps. 63 (1879) 326-. 



"Principia," llth section, proofs of propo- 

 sitions. Walton, W. Camb. and Dubl. 

 Mth. J. 5 (1850) 284-. 



Orbit, circular or elliptic. Plana, G. [1864] 

 Tor. Mm. Ac. 24 (1868) 149-. 



, elliptic, action in. T. QJ. Mth. 7 (1866) 

 45. 



, or hyperbolic, with 2 centres of force 

 at the foci. Perlewitz, P. Z. Mth. Ps. 18 

 (1873) 58-. 



, , about any point, law of force. Whit- 

 worth, W. A. Mess. Mth. 5 (1871) 160-. 



of particle attracted by spheroid. Gylden, 

 J.A.H. C. E. 91 (1880) 957-. 



moving in equatorial plane of spheroid 



under Newtonian law. Gylden, J. A. H. 



Stockh. Ofv. 37 (1880) No. 10, 5-. 

 , periodical changes. Sylvester, J. J. Ph. 



Mg. 31 (1866) 287-, 380-. 

 Orbital motion, theorem. Bonnet, 0. Liouv. 



J. Mth. 9 (1844) 113-. 

 Orbits. Beer, A. (vn) Wien Sb. 24 (1857) 



314. 



with algebraic equations, law of force. 

 Koenigs, G. Par. S. Mth. Bll. 17 (1889) 

 153-. 



, catenaries and curved rays, relations 



between. Everett, J. D. B. A. Ep. (1888) 



581-. 

 , central. Legoux, A. N. A. Mth. 19 (1880) 



340-. 

 , . Korteweg, D. J. Amst. Ak. Vs. M. 



20 (1884) 247-; Arch. Neerl. 19 (1884) 



391-. 



, , under force - /*r+ ^. Graindorge, J. 



Liege Mm. S. Sc. 3 (1873) 755-. 

 , , 2 L + M 2 r. Gylden, J. A. H. 



[1879] Stockh. Ak. Hndl. 17 (1881) No. 1, 



67 pp. 

 , , ar n . Schouten, G. N. Arch. 



Wisk. 18 (1891) 19-; Fschr. Mth. (1891) 



942. 

 , , forms and periods. Schouten, G. 



Amst. Ak. Vs. M. 3 (1887) 373-; Arch. 



Neerl. 22 (1888) 158-. 



120 



