1220 Attractions 



for laws of force other than inverse squares. 



Routh, E. J. [1895] Phil. Trans. (A) 186 



(1896) 897-. 

 and properties of a symbolical expression. 



Cayley,A. Camb. Mth. J. 3 (1843) 62-. 

 theorems. Dahlander, G. E. Goteb. Hndl. 



10 (1870) 1-. 

 of variable densities, exterior and interior. 



Green, G. [1833] Camb. Ph. S. T. 5 (1835) 



395-. 



of elliptic cylinder, parallel to axis, under any 

 inverse law of distance. Grube, F. [1864] 

 Crelle J. 65 (1866) 62-. 



discs. Grube, F. Z. Mth. Ps. 11 (1866) 



437-. 



paraboloids. Bourget, J. Liouv. J. Mth. 



2 (1857) 81-. 



. Hirst, T. A. Liouv. J. Mth. 2 



(1857) 385-. 

 (Hirst). Bmirget, J. Liouv. J. Mth. 



3 (1858) 47-. 



ring, Gauss's problem. Halphen, G. H. 



C. E. 103 (1886) 363-. 

 on external point, internal changes in mass of 



body not affecting. Pratt, J. H. Ph. Mg. 



32 (1866) 132- ; 33 (1867) 261-, 332-, 445-. 

 of fixed centre on point, particular case (de 



Pontecoulant). Steichen, . Grunert Arch. 



6 (1845) 163- ; 7 (1846) 260-. 

 and heat. Heine, H. E. Crelle J. 29 (1845) 



185-. 

 (Heine). Jacobi, C. G. J. Crelle J. 42 



(1851) 35-. 

 of heavy developable surface on point. Mehler, 



. [1860] Crelle J. 58 (1861) 240-. 

 homeoid. Mehler, . [1860] Crelle J. 



60 (1862) 321-. 

 on external point. Adams, J. C. [1871] 



Camb. Ph. S. P. 2 (1876) 213-. 

 between 2 homogeneous bodies. Liebenthal, E. 



Hamb. Mth. Gs. Mt. 1 (1889) 43-; Arch. 



Mth. Ps. 13 (1895) 39-. 

 of homogeneous bodies, especially polyhedra. 



Mehler, F. G. Danzig Schr. 1 (Heft 2) (1865) 



20pp. 



mass on material point, numerical ex- 

 amples. Lampe, . Berl. Ps. Gs. Vh. 



(1884) 46-, 55-. 

 polyhedron. Mehler, F. G. Crelle J. 



66 (1866) 375-. 

 infinite. Kummell, . Smiths. Misc. Col. 



33 (1888) Art. 3, 58-. (Wash. Ph. S. Bll. 8 

 (1885).) 



influence of figure on. Lagrange, C. Brux. 



Ac. Bll. 44 (1877) 23-. 



law, generalisation. Gosiewski, W. Prace 



Mt.-Fiz. 8 (1897) 178- ; Fschr. Ps. (1898) 



(Ab. 1) 388-. 

 of lines, 1 



ines, lines of force for. Hoppe, R. Arch. 



Mth. Ps. 7 (1889) 330-. 

 , surfaces and solids, problems, solution. 



Mollweide, C. Zach M. Cor. 27 (1813) 26-. 

 local; correction of elements of osculating 



ellipsoid. Adan, E. Brux. Mm. Cour. 8vo, 



29 (1880) (No. 2) 31 pp. 

 of mass. Hansen, C. N. Ts. Mth. 10 (B) 



(1899) 85-; 11 (B) (1900) 24. 



Attractions 1220 



of 2 masses, reduction. Schell, W. Schlomilch 



Z. 3 (1858) 80-. 

 maximum, of right pyramid with regular base. 



Pierpaoli, N. Em. E. Ac. Line. Ed. 2 (1893) 



(Sem. 1) 130-. 



mutual gravitational, of 2 bodies with sym- 

 metrical mass distributions. Woodward, 



R. S. N. Y. Am. Mth. S. Bll. 5 (1899) 113, 



114-. 

 Newtonian, flux of mechanical energy for 



motion of bodies under. Volterra, V. Tor. 



Ac. Sc. At. 34 (1898) 238- or 366-, 601- or 



805- . 

 Newton's law, limiting cases. Collignon, E. 



As. Fr. C. E. (1886) (Pt. 2) 29-. 

 of parallelepiped. Bessel, F. W. Zach M. Cor. 



27 (1813) 80-. 

 . Keller, F. Em. At. E. Ac. 25 (1872) 



317-. 



plane curve on particle in its plane. Torto- 

 lini, B. Tortolini A. 2 (1859) 244-. 



polygon. Joachimsthal, F. N. A. Mth. 9 

 (1850) 451-. 



polyhedron on point, under law of inverse 

 squares. Somov, I. I. Eec. Mth. (Moscou) 

 13 (1886) 99-. 



portions of sphere, expressible by algebraic 

 quantity. X. Y. Tilloch Ph. Mg. 40 (1812) 

 326-; 41 (1813) 104-. 



principle deduced from Kepler's law of elliptic 



motion. Bertrand, J. C. E. 84 (1877) 671-. 

 and repulsion under law of inverse squares. 



Gauss, C. F. Gauss Eesultate (1840) 1-. 

 of right circular cylinder on particle. Kummell, 



C. H. A. Mth. 2 (1885-86) -34-, 49-. 

 pyramid with regular base, at centre of 



base. Pierpaoli, N. Em. E. Ac. Line. Ed. 



3 (1894) (Sem. 1) 173-. 

 solid for law of inverse distance. Frie- 



sach, K. Steierm. Mt. (1873) 16-. 



ring on external point, force varying as r~ l . 

 Streintz, H. Steierm. Mt. (1878) 34-. 



segments on each other. Grube, F. [1868] 

 Z. Mth. Ps. 14 (1869) 267-. 



and series, theory, various formulae. Petersen, 

 J. Sk. Nf. F. (1892) 354-; Fschr. Mth. 

 (1892) 223-. 



of solids bounded by planes. Knight, T. Phil. 

 Trans. (1812) 247-. 



of certain class, analytical theory. 

 Donkin, W. F. Phil. Trans. (I860) 1-. 



revolution differing little from sphere 



or spherical shell. Hoepflingen-Bergendorf, 

 H. von. Arch. Mth. Ps. 63 (1879) 310-. 



, on external point. Boole, G. 

 Camb. and Dubl. Mth. J. 2 (1847) 1-. 



special cases. Gergonne, J. D. Gergonne A. 



Mth. 10(1819-20) 133-. 

 of spheres. La Place, P. S. (marquis) de. 



[1821] Conn, des Temps (1824) 328-. 

 (Laplace). Herapath, J. Tilloch Ph. 



Mg. 62 (1823) 61-, 136-. 



on external point, demonstration of 

 theorem. Coffin, J. H. Am. As. P. (1850) 

 47-. 



, Newton, Bk. I, props. 41, 80, 



84. Plana, G. Tor. Mm. Ac. 11 (1851) 

 391-, 399-. 



103 



