A Treatise on Electricity and Magnetism, Vol. I (1873) - Page 7

Art.		Page
142.	Different methods of treating spherical harmonics .. .. .. ..	174
143.	On the diagrams of spherical harmonics. (Figs. V, VI, VII, VIII, IX) .. .. .. .. .. .. .. .. ..	175
144.	If the potential is constant throughout any finite portion of space it is so throughout the whole region continuous with it within which Laplace’s equation is satisfied .. .. .. ..	176
145.	To analyze a spherical harmonic into a system of conjugate harmonics by means of a finite number of measurements at selected points of the sphere .. .. .. .. .. ..	177
146.	Application to spherical and nearly spherical conductors .. ..	178

CHAPTER X.


147.	The lines of intersection of two systems and their intercepts by the third system .. .. .. .. .. .. ..	181
148.	The characteristic equation of V V usually represents electric potential. in terms of ellipsoidal coordinates .. .. .. .. .. .. .. .. ..	182
149.	Expression of α, β, γ in terms of elliptic functions .. .. ..	183
150.	Particular solutions of electrical distribution on the confocal surfaces and their limiting forms .. .. .. .. ..	184
151.	Continuous transformation into a figure of revolution about the z-axis .. .. .. .. .. .. .. ..	187
152.	Transformation into a figure of revolution about the x-axis	188
153.	Transformation into a system of cones and spheres .. .. ..	189
154.	Confocal paraboloids .. .. .. .. .. .. ..	189


155.	Thomson’s method of electric images A mathematical method for solving electrostatic problems, named after William Thomson (Lord Kelvin). .. .. .. .. ..	191
156.	When two points are oppositely and unequally electrified, the surface for which the potential is zero is a sphere .. ..	192
157.	Electric images .. .. .. .. .. .. .. ..	193
158.	Distribution of electricity on the surface of the sphere .. ..	195
159.	Image of any given distribution of electricity .. .. ..	196
160.	Resultant force between an electrified point and sphere .. ..	197
161.	Images in an infinite plane conducting surface .. .. ..	198
162.	Electric inversion A geometric transformation used to solve complex electrical problems. .. .. .. .. .. .. ..	199
163.	Geometrical theorems about inversion .. .. .. ..	201
164.	Application of the method to the problem of Art. 158 .. ..	202