Excerpt from Geometry of Four Dimensions<br/><br/>The object and plan of this book are explained in the Introduction (page 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 with out 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.
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Paperback. Condition: New. Print on Demand. At the dawn of the 19th century, geometry took an exhilarating leap into dimensions beyond our familiar three with the arrival of four-dimensional geometry. Early references to this concept, dating back to ancient Greek philosophers, were largely speculative, but by the 1800s mathematicians began seriously exploring and defining its principles. This book offers a clear and concise introduction to the fascinating realm of four-dimensional geometry. With meticulous explanations, the author guides readers through the foundations of this subject, starting with points and lines before tackling more complex concepts such as hyperplanes and polyhedra. Along the way, the reader grasps the nuances of perpendicularity, angles, and symmetry in four dimensions. This book not only provides a comprehensive understanding of four-dimensional geometry but also serves as a valuable tool for exploring higher-dimensional spaces, opening up new vistas for mathematical exploration. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330311653_0
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