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Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1 (Classic Reprint): Being the Substance of Lectures Delivered in the University ... of the First Year in Arts (Classic Reprint) - Brossura

 
9781332919628: Chapters on the Modern Geometry of the Point, Line, and Circle, Vol. 1 (Classic Reprint): Being the Substance of Lectures Delivered in the University ... of the First Year in Arts (Classic Reprint)

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This book provides a foundational treatise on Modern Elementary Geometry, a field the author helped to establish that covers geometric problems that can be solved with basic algebra skills. The book's subject is developed in two parts and builds upon the knowledge of the first six books of Euclid, typically learned by students transitioning from secondary school to university. The first part introduces the concept of double geometric meaning, a cornerstone of modern elementary geometry, which posits that geometric terms can simultaneously denote both magnitudes and figures. The second part introduces the idea of double generation of geometric figures, demonstrating that every geometric figure can be generated by the movement of a point or a line. The author explores the implications of these concepts across various theoretical problems and gives detailed instructions for practical constructions. By providing a systematic exposition of Modern Elementary Geometry, this book serves as an excellent resource for students and practitioners alike, offering a thorough understanding of a subject vital to future geometric discovery.

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Richard Townsend
Editore: Forgotten Books, 2019
ISBN 10: 1332919626 ISBN 13: 9781332919628
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Richard Townsend
Editore: Forgotten Books, 2019
ISBN 10: 1332919626 ISBN 13: 9781332919628
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Richard Townsend
Editore: Forgotten Books, 2018
ISBN 10: 1332919626 ISBN 13: 9781332919628
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Paperback. Condizione: New. Print on Demand. This book provides a foundational treatise on Modern Elementary Geometry, a field the author helped to establish that covers geometric problems that can be solved with basic algebra skills. The book's subject is developed in two parts and builds upon the knowledge of the first six books of Euclid, typically learned by students transitioning from secondary school to university. The first part introduces the concept of double geometric meaning, a cornerstone of modern elementary geometry, which posits that geometric terms can simultaneously denote both magnitudes and figures. The second part introduces the idea of double generation of geometric figures, demonstrating that every geometric figure can be generated by the movement of a point or a line. The author explores the implications of these concepts across various theoretical problems and gives detailed instructions for practical constructions. By providing a systematic exposition of Modern Elementary Geometry, this book serves as an excellent resource for students and practitioners alike, offering a thorough understanding of a subject vital to future geometric discovery. 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 9781332919628_0

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