Theory of Parallels (Classic Reprint): The Proof of Euclid's Axiom Looked for in the Properties of the Equiangular Spiral - Couverture souple

Thompson, T. Perronet

9780282643362: Theory of Parallels (Classic Reprint): The Proof of Euclid's Axiom Looked for in the Properties of the Equiangular Spiral

Couverture souple

ISBN 10 : 0282643362 ISBN 13 : 9780282643362

Editeur : Forgotten Books, 2018

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Discover how a single spiral reshapes classic geometry and echoes through 19th‑century ideas.

The book revisits Euclid’s parallel axiom by examining the equiangular spiral and the propositions Thompson explored in the 1840s. It presents a clear, accessible path from the ancient elements to modern insights, showing how a curve can illuminate foundational questions in geometry. This edition focuses on the premise that the spiral offers a way to bound distances and reexamine the old proofs without abandoning the core logic of Euclid.

Along the way, you’ll see how equal angles, limited distances, and intercepted radii interact in a historical argument about parallels. The discussion connects elementary geometry with deeper ideas about motion, velocity, and the nature of geometric proof, all while staying grounded in the classic terms and diagrams you’d expect from a 19th‑century mathematical treatise.

Learn how the equiangular spiral is used to bound distances and reframe Euclid’s axiom
See Thompson’s propositions and how they relate to classical geometry without modern jargon
Understand the link between spirals, velocity along a radius, and geometric proofs
Explore the historical progression from Euclid to Archimedes and to later geometric reasoning

Ideal for readers of geometry interested in the history of proofs and the curious intersections of curves and axioms.

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 0282643362
ISBN 13: 9780282643362
Reliure: Broch�
Nombre de pages: 24
Coordonn�es du fabricant: Copytech (UK) Ltd, Trading as Printondemand-worldwide.com
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9780666447593: Theory of Parallels: The Proof of Euclid's Axiom Looked for in the Properties of the Equiangular Spiral (Classic Reprint)

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ISBN 10 : 0666447594 ISBN 13 : 9780666447593
Editeur : Forgotten Books, 2018
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Theory of Parallels (Classic Reprint)

T. Perronet Thompson

Edit� par Forgotten Books, 2018

ISBN 10 : 0282643362 ISBN 13 : 9780282643362

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book explores a mathematical approach to the concept of parallels. The author builds on Euclid's famous theorems and axioms, particularly the controversial 12th Axiom, and introduces a new spiral-based approach to the subject. By developing these ideas from scratch, the author provides an alternative foundation for geometry that does not require the 12th Axiom. The book explores the implications of these new ideas and provides a deeper understanding of the nature of parallels. 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. N� de r�f. du vendeur 9780282643362_0

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