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An Introduction to Projective Geometry and Its Applications: An Analytic and Synthetic Treatment (Classic Reprint) - Softcover

 
9781332455577: An Introduction to Projective Geometry and Its Applications: An Analytic and Synthetic Treatment (Classic Reprint)

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Excerpt from An Introduction to Projective Geometry and Its Applications: An Analytic and Synthetic Treatment

Treatises on Projective Geometry are usually written With the object of presenting this science in a purely systematic form; hardly any attention is paid to the applications. As a rule the methods of arithmetized mathematics have to be transformed, made more concrete, before they lend themselves to the solution of practical problems; and this, in the judgment of many, dis figures the purely scientific method.

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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.

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  • PublisherForgotten Books
  • Publication date2019
  • ISBN 10 1332455573
  • ISBN 13 9781332455577
  • BindingPaperback
  • LanguageEnglish
  • Number of pages301

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Paperback. Condition: New. Print on Demand. This book offers a practical and application-oriented approach to projective geometry, a branch of mathematics concerned with the properties of geometric figures that remain unchanged under projection. In contrast to purely theoretical treatments, the author emphasizes the utility of projective geometry in solving real-world problems, drawing connections to fields such as mechanics and engineering. Emerging from the works of mathematicians like Poncelet and Steiner in the 19th century, this book explores fundamental concepts such as anharmonic ratios, projective transformations, and involutions. It delves into the properties of conics, pencils of conics, and cubics, demonstrating their applications in various disciplines. The author also introduces novel methods, including the Steinerian transformation and the realization of collineations by linkages, enriching the understanding of projective geometry's power and versatility. By bridging the gap between theoretical foundations and practical applications, this book provides valuable insights into the enduring relevance of projective geometry in understanding the geometric relationships of our world. 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 # 9781332455577_0

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