Excerpt from Boundary Values of Potential Functions Prescribed Along Interior Paths We can say that Poisson's integral equation poses the problem of finding the boundary value of a function known to be harmonic in a half-plane when the boundary is inaccessible, but measurements can be taken along a line parallel to the boundary. This kind of problem arises in various physical investigations.' For example, the solution of the problem is of considerable value for the interpretations of observations derived from certain methods of geological prospecting which depend on a survey of a. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.