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A Treatise on Spherical Trigonometry - Softcover

 
9781330431627: A Treatise on Spherical Trigonometry

Synopsis

This book delves into the intricacies of spherical trigonometry, a branch of mathematics concerned with the relationships between the sides and angles of triangles on the surface of a sphere. Unlike plane trigonometry, which deals with triangles on a flat surface, spherical trigonometry finds its applications in fields like astronomy, navigation, and geography, where calculations on the Earth's curved surface are essential. The author meticulously guides readers through the fundamental concepts, starting with the properties of spheres and circles, then progressing to spherical triangles and their unique characteristics. With clear explanations and numerous worked-out examples, the book covers key topics such as the solution of right-angled and oblique-angled triangles, Napier's and Delambre's analogies, and Legendre's theorem. By bridging the gap between plane and spherical trigonometry, the book offers valuable insights into the historical development of these mathematical concepts. The inclusion of geometrical proofs alongside the more common analytical approaches provides a deeper understanding of the subject matter. Ultimately, this comprehensive treatise equips readers with the knowledge and tools to tackle complex problems involving spherical triangles, contributing to a greater appreciation of this vital mathematical discipline and its practical applications in understanding our world.

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9780265878309: A Treatise on Spherical Trigonometry, Vol. 1: With Applications to Spherical Geometry and Numerous Examples (Classic Reprint)

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ISBN 10:  0265878306 ISBN 13:  9780265878309
Publisher: Forgotten Books, 2018
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William J. M'clelland, Thomas Preston
Published by Forgotten Books, 2018
ISBN 10: 1330431626 ISBN 13: 9781330431627
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Paperback. Condition: New. Print on Demand. This book delves into the intricacies of spherical trigonometry, a branch of mathematics concerned with the relationships between the sides and angles of triangles on the surface of a sphere. Unlike plane trigonometry, which deals with triangles on a flat surface, spherical trigonometry finds its applications in fields like astronomy, navigation, and geography, where calculations on the Earth's curved surface are essential. The author meticulously guides readers through the fundamental concepts, starting with the properties of spheres and circles, then progressing to spherical triangles and their unique characteristics. With clear explanations and numerous worked-out examples, the book covers key topics such as the solution of right-angled and oblique-angled triangles, Napier's and Delambre's analogies, and Legendre's theorem. By bridging the gap between plane and spherical trigonometry, the book offers valuable insights into the historical development of these mathematical concepts. The inclusion of geometrical proofs alongside the more common analytical approaches provides a deeper understanding of the subject matter. Ultimately, this comprehensive treatise equips readers with the knowledge and tools to tackle complex problems involving spherical triangles, contributing to a greater appreciation of this vital mathematical discipline and its practical applications in understanding 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 # 9781330431627_0

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J. MCLELLAND, WILLIAM
Published by Forgotten Books, 2018
ISBN 10: 1330431626 ISBN 13: 9781330431627
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J. MCLELLAND, WILLIAM
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ISBN 10: 1330431626 ISBN 13: 9781330431627
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