Geometry of Four Dimensions (Classic Reprint)

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Excerpt from Geometry of Four Dimensions The object and plan of this book are explained in the introduction (page 16). I had hoped to give some account of the recent literature, but this would have delayed work that has already taken several years. I have prepared a list of technical terms as found in a few of the more familiar writings, very incomplete, and, I fear, not without errors. The list may be of service, however, to those who wish to consult the authors referred to, it will also indicate something of the confusion that exists in a subject whose nomenclature has not become fixed. It has been necessary for me to introduce a considerable number of terms, but most of these have been formed in accordance with simple or well-established principles, and no attempt has been made to distinguish them from the terms that have already been used. I am indebted to the kindness of Mr. George A. Plimpton of New York for an opportunity to examine his copy of Rudolph's Coss referred to on page 2. I am also under many obligations to Mrs. Walter C. Bronson of Providence, to Mr. Albert A. Bennett, Instructor at Princeton University, and to my colleagues, Professors R. C. Archibald and R. G. D. Richardson, from all of whom I have received valuable criticisms and suggestions. Many of the references in the first four pages were found by Professor Archibald, several of these are not given in the leading bibliographies, and the reference to Ozanam I have not seen anywhere. 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.