A Treatise on Spherical Trigonometry: With Applications to Spherical Geometry and Numerous Examples (Classic Reprint) - Softcover
Synopsis
Explore the fundamentals and methods of spherical trig with this classic reference. It presents clear definitions, essential theorems, and worked examples that connect theory to problems on the sphere.
The book covers the sphere, great and small circles, and the polar framework, then builds up to spherical triangles, their parts, and key relations. It continues with right- and oblique-angled triangles, including Napier’s rules and related analogies, and concludes with practical considerations for areas and polygonal figures on the sphere. The volume emphasizes both the underlying geometry and concrete computations you can apply to spherical geometry and related applications.
- Foundational definitions and properties of the sphere, circles, and poles
- Procedures for analyzing spherical triangles and their polar relationships
- Formulas for sines, cosines, and tangents of angles and sides, plus special cases
- Rules of Napier and methods for solving right-angled and oblique-angled triangles
Ideal for readers studying spherical geometry, trigonometry, or surveying who want a thorough, example‑driven reference.
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A Treatise on Spherical Trigonometry, Vol. 1 (Classic Reprint)
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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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A Treatise on Spherical Trigonometry, Vol. 1
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A Treatise on Spherical Trigonometry, Vol. 1 : With Applications to Spherical Geometry and Numerous Examples (Classic Reprint)
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Forgotten Books Apr 2018, 2018
ISBN 10: 1330431626
ISBN 13: 9781330431627
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Taschenbuch. Condition: Neu. Neuware. Seller Inventory # 9781330431627