ci INDEX TO ATTRACTIONS. 369
j . The numbers refer to the articles.
\ FILAMENT. See LINES OF FOBCE. Definition, 126.
• FLUX. The product Fd<r, 107.
FOCALOID. Defined, 194. Potentials, 228.
i FUNDY. Attraction of the tide in the Bay of Fundy, 38.
I GALLOP. Electricity on a circular disc and spherical bowl, 451, note.
GAUSS. Mean potential over a sphere, 84. The theorem $Fd<r = i 4,-n-M, 106. Also
deduced from Green's theorem, 153. Terrestrial magnetism, 336, &c. I GEEEN. Attraction of a stratum, 142, 147. A volume integral replaced by a surface
j . integral, 149, and a surface integral by a line integral, Note A, page 356.
I . Equivalent layer, 154. Infinite and multiple-valued functions, 158, 161.
Kelvin's extensions, 163. Green's mathematical papers, 248, note. Green's method of solving electrical problems, 156, 393. Green's theoren on a condenser, 417. Origin of the name "potential," 39, note.
HANSTEEN. Terrestrial magnetism explained by two magnets, 335.
HAUGHTON. Problem on a fluid earth with a spheroidal crust, 313.
HOBSON. Two memoirs on attractions, 248, note.
HOMOEOID. Denned, 194. See ELLIPSOIDAL SHELL.
HOMOTHETIC SHELL. Defined by Ohasles, 194.
IMAGE. Defined, 396.
INDUCTION. Magnetic force and magnetic induction defined, 342. How related, 345, see Note L, page 3(53. Other names, Note K, page 363. Coefficients of induction, 438. Magnetic induction in a solid, 465. Boundary condition, 468,493. Induction problems, 486. Surface integral of magnetic induction, 488, Note M, page 364.
INVEBSE PEOBLEMS. Find the curved rod such that the attraction of the arc PQ at 0 (1) bisects the angle POQ, 20, (2) passes through a fixed point, 20, (3) passes through the intersection of the tangents at P, (), 20. Given the potential, find the body, 164.
INVERSION. Kelvin's point inversion, 168. Geometrical properties, 172, &c. Inversion from a line, i.e. in two dimensions, 181, &c. The cylindrical transformation r'=Arn, 0' = ?i0, 184, &c.
IVOKY. Geometrical property of confocal ellipsoids, 202. Theorem on attractions, 222. Application to infinite cylinders, 235. Finite cylinders, 236.
JELLET. Potentials for different laws of force, 96.
KELVIN, LOED. Theorems on attraction, 111, note, 121. Attraction of a film, 142, note. Controbaric bodies, 135, note. Extension of Green's theorems, 163. Method of Inversion, 168. Magnetism, 314, note. Magnetic force and magnetic induction, 342 and Note K, page 363. Solenoids, 347. Lamellar shells, 350. Electricity on a sphere, 403, note. Electricity on a circular disc and spherical bowl, 451, note. Ou two spheres by successive images, 460, note. Induced magnetism, 465, note. Theorem on dielectrics, 483.
LACHLAN. Theorem on inversion, 179.
LAMB. Potential of an elliptic cylinder, note to 238.
LAME. Poisson's equation in orthogonal and elliptic coordinates, 109, 110.
LAMELLAE SHELLS. Defined, 350. Theory, 350—354. Elementary rule to find the magnetic force at a given point, 356. Cartesian components of force, 358, see VECTOR POTENTIAL. Potential of a lamellar body, 359. Mutual potential energy of two thin shells expressed by integrations round the rims, 360. Force due to a thin circular lamellar shell, 362. Mutual potential
R. s. ii. 24