1220 



Theory of the Potential 



1240 



transformation by inversion. Haton de la 

 Goupilliere, J. N. C. E. 73 (1871) 1438-. 



types of, reducible to dependence on 2 co- 

 ordinates. Levi-Civita, T. [1899] Tor. 

 Ac. Sc. Mm. 49 (1900) 105-. 



of uniform circular disc at any point, can it be 

 expressed by elliptic integrals? Maxwell, J. G. 

 L. Mth. S. P. 3 (1869-71) 8. 



in usual hypothesis of discontinuity of matter. 

 Boussinesq, J. C. E. 90 (1880) 792-; 

 Liouv. J. Mth. 6 (1880) 89-. 



1-valued. Christoffel, E. B. Crelle J. Mth. 

 64 (1865) 321-. 



varying as e~** r *, deductions. Beltrami, E. 

 Mil. I. Lomb. Ed. 9 (1876) 725-. 



Analytical forces satisfying j-~ + ^ = 0. 



Lecornu, L. Par. EC. Pol. J. 55 (1885) 



253-. 

 Associated functions, especially those of 



spherical segment. Beltrami, E. Bologna 



Ac. Sc. Mm. 4 (1882) 211-. 

 Bodies of greatest potential. Liapunov, A. M. 



Kharkov Mth. S. Com. (1886) 63-. 

 Equation, Jellett's, and attraction of circular 



lamina;. Toivnsend, R. QJ. Mth. 16 (1879) 



140-. 



" Me"canique Celeste," vol. 2, p. 17, verifi- 

 cation. Combescure, E. [1869] Mntp. Mm. 

 Ac. Sect. Sc. 7 (1867-71) 421-. 



, Laplace's. Jellett, J. H. Ph. Mg. 18 



(1884) 400-. 

 , , in orthogonal coordinates. Petrini, H. 



Ups. Arsk. (1890) (Mt. Nt.) iv + 104 pp. 

 , , for certain rotation surfaces. Wangerin, 



A. Leip. Jablon. Preisschr. 18 ('1875) 



32 pp. 

 , Poisson's, V2F= - 4irp. Delsaux, (lepere) J. 



[1877] (xn) Brux. S. Sc. A. 2 (1878) (Pt. 1) 



66-, (Pt. 2) 99-. 

 , , solution when p is not continuous. 



Petrini, H. Stockh. Ofv. (1899) 873-. 

 Equations of physical field. Lagrange, C. 



Brux. Ac. Bll. 29 (1895) 353-; 30 (1895) 



603- ; 31 (1896) 111-, 339-, 738. 

 Equipotential conic sections, number of sym- 

 metrical systems. Hicks, W. M. Mess. 



Mth. 11 (1882) 67-. 



curve for 2 centres. Cayley, A. Ph. Mg. 

 14 (1857) 142-. 



lines, construction. Czermak, P. Wien Ak. 

 Sb. 99 (1891) (Ab. 2a) 511-. 



, mechanical description. Darwin, G. H. 



L. Mth. S. P. 6 (1875) 115-. 



mass distributions. Husmann, (Dr) . 

 Arch. Mth. Ps. 65 (1880) 19-. 



surfaces. Weber, L. Mth. A. 8 (1875) 45-. 

 . Abria, 0. Bordeaux S. Sc. Mm. 3 



(1880) 257-. 

 of ellipsoids. Resal, H. A. Liouv. J. 



Mth. 8 (1882) 55-. 

 . Saint-Germain, A. de. Liouv. J. 



Mth. 8 (1882) 297-. 



, in especial of ellipsoids. Stahl, W. 

 Crelle J. Mth. 79 (1875) 265-. 



Equipotential surfaces, new properties. Amsler, 



J. [1848] Crelle J. 42 (1852) 314-. 

 for straight wire. Tait, P. G. [1874] 



Edinb. E. S. P. 8 (1875) 440-. 

 Green, 2 formulas given by. Neumann, C. G. 



Leip. Mth. Ps. B. 30 (1878) 10-. 

 Green's and allied theorems. Tait, P. G, 



[1870] Edinb. E. S. T. 26 (1872) 69-. 

 , historical sketch. Gibson, G. A. 



Edinb. Mth. S. P. 8 (1890) 2-. 



formula, deductions. Gilbert, L. P. (xn) 

 Brux. S. Sc. A. 7 (1883) (Pt. 1) 67-. 



and theory of potential. Gilbert, P. 



Liouv. J. Mth. 10 (1884) 429-. 



function, function analogous to. Dini, U. 

 Em. E. Ac. Line. At. 3 (1876) (Pte. 2) 129-. 



for rectangular parallelepiped. Green- 

 hill, A. G. [1879] Camb. Ph. S. P. 3 (1880) 

 289-. 



, theory. Zaremba, S. Prace Mt.-Fiz. 



7 (1896) 137-. 



functions of any order, theorem of recipro- 

 city. Boggio, T. Tor. Ac. Sc. At. 35 (1900) 

 340- or 498-. 



theorem, Clausius's proof. Grunwald, A . K. 

 Z. Mth. Ps. 14 (1869) 521-. 



, elementary proof. Molenbroek, P. A. 



Ps. C. 40 (1890) 157- ; 44 (1891) 784-. 



, extension. Fransen, A. E. Stockh. 

 Ofv. (1897) 185-. 



, of deduction from. Capelli, A. 

 Palermo Cir. Mt. Ed. 1 (1887) 1-. 



, Gutzmer's generalisation. Schiitz, I. 

 D. Mth. Vr. Jbr. 7 (1899) (Heft 1) 117-. 



, integrations and transformations by. 

 Gmeiner, J. A. Mh. Mth. Ps. 6 (1895) 

 303-. 



Integration, theorem. Watson, (Rev.) H. W. 

 QJ. Mth. 21 (1886) 225-. 



of S ^=0, (t=l, 2 ... m). Brajcev, I. R. 



[1900] Eec. Mth. (Moscou) 21 (1901) 490- ; 



Fschr. Mth. (1900) 376. 

 Isothermals, theory. Haton de la Goupilliere, 



J. N. G. E. 48 (1859) 621- ; Par. EC. Pol. 



J. 38" cah. (1861) 15-. 

 Kepler's 3rd law, extension. Betti, E. Palermo 



Cir. Mt. Ed. 2 (1888) 145-. 

 Maxwell's formula, mechanical interpretation. 



Beltrami, E. Bologna Ac. Sc. Mm. 7 (1886) 



Prepotentials, i.e. multiple integrals of form 

 pdw 



ley, A. Phil. Trans. 165 (1875) 675-. 



1240 Statics of a rigid body and 

 of a system of rigid bodies. 

 Astatics. (See also 0410, 0420.) 



Astatic centre of forces in plane. Grunert, 

 J. A. Arch. Mth. Ps. 46 (1866) 276-. 



equilibrium. Darboux, G. Bordeaux S. Sc. 

 Mm. 2 (1878) 1-. 



109 



