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Excerpt from A Treatise on the Application of Analysis to Solid Geometry This work was commenced by Sir. Gregory in the course of the year 1842; and in the Autumn of 1843 had received his final revision as far as the end of Chapter XI.: he had likewise made numerous extracts from various sources preparatory to writing Chapters XII., XIII., XIV., XV.; and had arranged a collection of Problems which, with slight additions, forms the subject of Chapter xvi., the last of the Treatise. His further progress in this work was unhappily arrested by death. Having, in accordance with the last wishes of my most valued friend, undertaken the completion of this work, I have fulfilled my task to the best of my ability. It is hoped that the natural difficulty of bringing to a conclusion a treatise commenced by another, will secure for me the indulgence of the reader. The principal object of this Treatise is to develop a system of Solid Geometry, in a form suitable to mathematical students, by means of symmetrical equations. The general advantage of symmetry in this branch of mathematics is so striking, that the utility of such a work will be at once recognized. 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.

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.