Excerpt from Plane and Spherical Trigonometry
Carefully selected exercises are given at the end of almost every article. In solving triangles, the natural functions are used where the solution may be obtained easily Without the aid of logarithms. This method has been followed because, where logarithms are used exclu sively, the student often does not know the meaning of the Operation he is performing. The subject of trigono metric equations, which is usually accorded little atten tion, is here given in a separate chapter, for it is thought that in no other way can the student acquire so good a knowledge of general principles or so great skill in applying the formulas.
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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.)
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Paperback. Etat : New. Print on Demand. This book is an elementary text in trigonometry, a branch of mathematics that explores the relationships between the sides and angles of triangles. Beginning with the most basic trigonometric functions--sine, cosine, and tangent--the author methodically builds toward more sophisticated concepts like trigonometric equations and identities. The book assumes no prior knowledge of trigonometry and is written in a clear, accessible style, making it suitable for self-study or classroom instruction. Along with ample opportunities to practice problem-solving, the author includes helpful historical notes that place trigonometry within its broader context in the development of mathematics throughout the ages. Ultimately, this book provides readers with a solid foundation in trigonometry, enabling them to continue their studies in mathematics or apply trigonometry to solve problems in other fields. 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 réf. du vendeur 9781333484880_0
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Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333484880
Quantité disponible : 15 disponible(s)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333484880
Quantité disponible : 15 disponible(s)