The Elements of Spherical Trigonometry, for the Use of Schools, Etc
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 13.82
Quantity: Over 20 available
Add to basketItem description from seller
Print on Demand. This book delves into the intricacies of spherical trigonometry, a branch of mathematics crucial to various fields such as astronomy, navigation, and engineering. It begins by establishing a solid foundation in the fundamentals of spherical triangles, including their definitions, relationships between sides and angles, and Napier's analogies. The author then proceeds to explore the three main types of spherical triangles: right-angled, quadrantal, and oblique-angled triangles. Each type is thoroughly analyzed, with detailed explanations of how to solve for unknown sides and angles using a variety of methods, including the fundamental formulae, Napier's circular parts, and logarithmic calculations. The book strikes a balance between theoretical exposition and practical application, providing numerous solved examples and exercises to reinforce the concepts. Through a comprehensive and accessible approach, this book serves as a valuable resource for students, practitioners, and anyone seeking to enhance their understanding of spherical trigonometry. 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. …
Seller Inventory # 9781331952947_0
- Title
- The Elements of Spherical Trigonometry, for the Use of Schools, Etc
- Author
- James Hann
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1331952948
- ISBN 13
- 9781331952947
- Seller catalogs
- Geometry
The work introduces the basic ideas of spherical triangles, the polar or supplemental triangle, and how spherical relationships connect to solid angles and polyhedrons. It emphasizes step-by-step methods you can apply to compute angles and sides, even when numbers are large or awkward.
You'll find foundational formulas, guided derivations, and worked examples that build toward more complex topics, including numerical solutions and the geometry of polyhedrons. The approach balances theory with tangible applications to three-dimensional geometry.
- Foundational cosines and sines relations for spherical triangles, including the key equation cos a = cos b cos c + sin b sin c cos A.
- Illustrations of the polar triangle and how its angles and sides relate to the original triangle.
- Strategies for solving right-angled and quadrantal cases, with guidance on when to use supplements.
- Connections between spherical geometry and polyhedrons, including how solid angles relate to surface area and edge counts.
Ideal for readers starting in geometry or trigonometry, or anyone needing a solid foundation in spherical methods.
"Synopsis" may belong to another edition of this title.
Forgotten Books
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
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