CONTENTS.
xxi
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 analyse 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
Confocal Surfaces of the Second Degree.
147. The lines of intersection of two systems and their intercepts by the third system
181
148. The characteristic equation of in terms of ellipsoidal coordinates
182
149. Expression of , , 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 axis of
187
152. Transformation into a figure of revolution about the axis of
188
153. Transformation into a system of cones and spheres
189
154. Confocal paraboloids
189
Theory of Electric Images.
155. Thomson's method of electric images
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
199
163. Geometrical theorems about inversion
201
164. Application of the method to the problem of Art. 158
202
