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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Paperback. Condizione: 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. Codice articolo 9781332455577_0
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332455577
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Da: Buchpark, Trebbin, Germania
Condizione: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 302 | Sprache: Englisch | Produktart: Bücher. Codice articolo 26096093/2
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