Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/28

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xxii
CONTENTS.
Art.
Page
165. Finite systems of successive images
203
166. Case of two spherical surfaces intersecting at an angle
204
167. Enumeration of the cases in which the number of images is finite
206
168. Case of two spheres intersecting orthogonally
207
169. Case of three spheres intersecting orthogonally
210
170. Case of four spheres intersecting orthogonally
211
171. Infinite series of images. Case of two concentric spheres
212
172. Any two spheres not intersecting each other
213
173. Calculation of the coefficients of capacity and induction
216
174. Calculation of the charges of the spheres, and of the force between them
217
175. Distribution of electricity on two spheres in contact. Proof sphere
219
176. Thomson's investigation of an electrified spherical bowl
221
177. Distribution on an ellipsoid, and on a circular disk at potential
221
178. Induction on an uninsulated disk or bowl by an electrified point in the continuation of the plane or spherical surface
222
179. The rest of the sphere supposed uniformly electrified
223
180. The bowl maintained at potential and uninfluenced
223
181. Induction on the bowl due to a point placed anywhere
224
Conjugate Functions in Two Dimensions.
182. Cases in which the quantities are functions of and only
226
183. Conjugate functions
227
184. Conjugate functions may be added or subtracted
228
185. Conjugate functions of conjugate functions are themselves conjugate
229
186. Transformation of Poisson's equation
231
187. Additional theorems on conjugate functions
232
188. Inversion in two dimensions
232
189. Electric images in two dimensions
233
190. Neumann's transformation of this case
234
191. Distribution of electricity near the edge of a conductor formed by two plane surfaces
236
192. Ellipses and hyperbolas. (Fig. X)
237
193. Transformation of this case. (Fig. XI)
238