Excerpt from Solutions of the Problems Riders Proposed in the Senate-House Examination for 1854 The Moderators and Examiners have been induced to publish the present volume, mainly on the following account. The value of a problem frequently depends in great measure upon its illustrating clearly some general principle or exemplifying some analytical process; and thus a solution, which is as it were forced out, and which misses the method designed, is worth little in point of the instruction it affords. It is hardly possible for any but the framers of the questions to produce a complete series of solutions, shewing the method which they wished the student to pursue. In the present instance the writers have availed themselves of their opportunities of inspecting the answers returned by the candidates for honours, and have appended to their own solutions some of the more striking of those which were submitted to them. 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.