Plane and Spherical Trigonometry (Classic Reprint): An Elementary Text-Book - Couverture souple

Ashton, Charles H.

Couverture souple

ISBN 10 : 1333484887 ISBN 13 : 9781333484880

Editeur : Forgotten Books, 2018

Synopsis

Master the fundamentals of plane and spherical trigonometry with clear explanations, worked examples, and extensive practice.

This elementary text presents core concepts in plane and spherical trigonometry, guiding readers from basic angles and ratios to more advanced topics like spherical triangles, inverse trig functions, and trigonometric equations. It combines step-by-step derivations, practical methods, and a wide range of problems to reinforce understanding.

Contents emphasize problem-solving techniques, formulas, and the logical structure of trigonometry, helping readers build confidence as they work through exercises and applications.

• Foundational topics in plane trigonometry and the geometry of circles and triangles.


• Introduction to spherical trigonometry, including spherical triangles and related formulas.


• Inverse trigonometric functions and their principal values for solving equations.


• Worked examples and numerous exercises to develop methodical problem-solving skills.

Ideal for students seeking a solid, practice‑oriented introduction to both plane and spherical trig.

A propos du livre

Présentation de l'éditeur

Trigonometry. In one the treatment is purely geometrical, no attention being paid to the direction of lines. Here the algebraic signs of the functions are assigned in a purely arbitrary manner, and none of the proofs hold except for the particular figure. When this method is employed, the result must be shown to be general by some algebraic process. In the second method all lines have direction as well as magnitude, and the proofs are given in such a form that they are general and hold for every possible figure. This would seem to be the logical method of developing the subject; forT rigonometry is the connecting link between elementary Geometry and those subjects in which Algebra and Geometry are combined in such a way that the directed line must be used constantly. This second method has been employed in this work, which is intended as a text-book for a fifty hour course in high schools and the ordinary first year classes in college, and is, therefore, made as elementary as possible. All matter not required for such a course has been excluded. We have attempted to avoid the usual mistake of mixing the two methods mentioned above. Two distinct proofs of the Addition Theorem are given.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

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 aged text. Read books online for free at www.forgottenbooks.org

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1333484887
• ISBN 13: 9781333484880
• Reliure: Broché
• Nombre de pages: 177
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