An introduction to the mathematical theory of attraction ...

288 Index.
Newtonian law of attraction, 1. Point, electrified, image of, in uniNormal force acting on element of planar distribution, 215.
conductor, 54. of equilibrium, 120, 132, 133.
force, finite change in, at surface resultant force at, 4.
on which there is mass, 13, 47. Poisson's equation, 82, 86, 172, 187.
force, integral of, over curve in Polygon, plane, attraction of, 73.
uniplanar distribution, 56. plane, potential of, 70.
force integral of, over surface, Polyhedron, attraction of, 71.
44. potential of, 71.
force, outside surface of conduc- Potential, coefficients of, 268.
tor, 49. constant, 112.
continuity of, 76.
Orthogonal section of tube of force, definition of, 65.
46. differential coefficients of, 74.
Orthogonally, conductors formed by differential equations for, 81, 83.
planesorspheresintersecting:- at distant point, 139.
four spheres, 231, 232, 233. elementary propeties of, 65.
three planes, 232. expansion of, in series, 139.
three planes and a sphere, general theorems respecting, 106.
233. of magnetic particle, 98.
three spheres, 230, 232. of magnetic shell, 98.
two planes, 225. mathematical characteristics of,
two spheres, 209-215. 76.
two circles at constant uniplanar a maximum or a minimum,
potential intersecting, 220. 118.
variation of, in unoccupied space,
119.
Parabolas as equipotential curves foro 113.
uniplanar distribution, 194. uniplanar, 66, 76, 79, 84, 113,
Parabolic coordinates, 186. 114, 147.
Paraboloidal homceoids, 188, 191-193. Potentials, found from differential
Paraboloids, equipotential surfaces, equations, 91-93.
187, 193. found by direct integration, 67 -Parallelepiped, attraction of, 16. 73
Particle, attraction of, 1. Purser, on attraction of ellipsoid exmagnetic, 15. pressed by elliptic functions,
magnetic, potential of, 98. 30-32.
Plane, infinite, attraction of, 11. on charges of electricity on spheres
Plane lamina, attraction of, 11, 19, 73. influencing each other, 256,
lamina, potential of, 70. 257.
Planes, intersecting at angle of 60~, on coefficients of capacity and
226. induction of two spheres, 248,
at angle -, 234. 258.
n on circular disk at potential zero,
Planes intersecting orthogonally, see 258.
Orthogonally. on force between two charged
parallel and infinite at constant spheres, 275, 281.
potentials, 91. on potential energy due to mutual
parallel and infinite at zero poten- action of mass systems, 147.
tial under influence ofelectrified on system of images in intersectpoint, 244. ing spheres, 255.
Point, electrified, 197. on proof of Thomson's theorem
electrified, image of, 198. for centrobaric body, 148.