Excerpt from Principles of Geometry, Vol. 3
HE present volume is devoted to geometry in three dimensions. The discussion of the logical standpoint, to which sufficient space has been given in the preceding volume, is left aside; and, from a desire to limit the size of the volume, many things are omitted which might well have been included. What is given may, however, be regarded as essential to any student who professes to have received a mathematical education. The aptitude for geo metrical construction in space, important as it is in the applications of mathematics to physics and engineering, receives, in our educa tional system at present, less training than it deserves. It is the writer's hope that this volume may help to emphasize this; and may convey to readers something of the fascination and freedom which belongs to' the reduction of intricate geometrical relations to the properties of a constructed figure. Only by such methods, moreover, can progress be made beyond the first principles of the subject.
Up to the end of Chapter III, this volume was in type when death severed an association to which the writer owed more help than he can well express. In business, James Bennet Peace was clear and honest in friendship, constant and self-regardless; many beside the writer deplore his loss. To him, and to the co-operation of the other members of the Staff of the University Press, great acknowledgment is due.
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Paperback. Condition: New. Print on Demand. This book explores the foundations of geometry in three dimensions, elucidating the concepts of quadrics, cubic curves, and surfaces. The author delves into the rich history of geometry, tracing the development of these ideas from their inception to their modern applications. The book is a comprehensive study of solid geometry, providing a thorough understanding of the underlying principles and their relationship to other mathematical concepts. The author's clear and engaging writing style makes the subject accessible to both students and enthusiasts alike. This book offers a valuable resource for anyone seeking to deepen their knowledge of geometry, providing a comprehensive and thought-provoking examination of the subject's core principles. Its insights will prove invaluable to those pursuing further study or research in geometry and related fields. 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 # 9781330337554_0
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