A Treatise on Spherical Trigonometry, Vol. 2 (Classic Reprint): With Application to Spherical Geometry and Numerous Examples - Couverture souple

M'clellan, William J.

9781333993788: A Treatise on Spherical Trigonometry, Vol. 2 (Classic Reprint): With Application to Spherical Geometry and Numerous Examples

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ISBN 10 : 1333993781 ISBN 13 : 9781333993788

Editeur : Forgotten Books, 2018

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Master spherical geometry with practical methods and clear examples. This edition, Part II of A Treatise on Spherical Trigonometry, extends the subject to spherical geometry and its many applications, offering rigorous results and worked problems that build on the fundamentals of trigonometry.

This volume focuses on circles related to a triangle, area and polygon theory on a sphere, and the chordal triangle. It blends theory with concrete methods, including principles behind incircles, circumcircles, Hart’s circle, and area calculations for spherical figures. You’ll find numerous examples that illuminate how these concepts connect to spherical geometry as a whole.

What you’ll experience
- In-circle and ex-circle radii, and their angular measures on the sphere
- Relationships between circumcircles and polar triangles, plus angular radii
- Methods for determining the angular radius of circumcircles and related circles
- Area formulas for spherical triangles, circular segments, and polygons on a sphere
- The chordal triangle, concurrent arcs, harmonic properties, and direction angles/cosines

Ideal for readers of advanced geometry who want a self-contained, example‑driven treatment of spherical figures and their properties in a rigorous, approachable format.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1333993781
ISBN 13: 9781333993788
Reliure: Broch�
Nombre de pages: 211
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A Treatise on Spherical Trigonometry, Vol. 2 (Classic Reprint)

William J. M'clellan

Edit� par Forgotten Books, 2018

ISBN 10 : 1333993781 ISBN 13 : 9781333993788

Neuf Paperback

impression � la demande

Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of spherical trigonometry, a branch of geometry that deals with triangles drawn on the surface of a sphere. The author takes the reader on a journey through the intricate relationships between the sides and angles of these spherical triangles, exploring their properties and applications in spherical geometry. The book, written in the late 19th century, reflects a period of significant advancement in mathematics, with a particular focus on the development of new and elegant techniques for solving geometric problems. It highlights the close connection between spherical trigonometry and spherical geometry, showing how the former provides the foundation for understanding the latter. The author meticulously presents numerous theorems and examples, demonstrating the application of spherical trigonometry to various problems, including those related to the circles associated with spherical triangles, the calculation of areas and volumes of spherical figures, and the exploration of concepts like harmonic and anharmonic sections. Through its comprehensive exploration of this complex yet elegant subject, the book offers valuable insights into the intricacies of spherical geometry, showcasing its power and relevance in the study of geometric relationships on curved surfaces. 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 9781333993788_0

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