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Elements of Trigonometry: Plane and Spherical is a comprehensive textbook written by Andrew Wheeler Phillips and first published in 1898. The book covers both plane and spherical trigonometry, which are important branches of mathematics that deal with the relationships between angles and sides of triangles. The book is divided into two sections: the first section covers plane trigonometry, which deals with triangles that lie in a flat plane, while the second section covers spherical trigonometry, which deals with triangles that lie on the surface of a sphere. The book begins with an introduction to the basic concepts of trigonometry, including the definitions of angles, sides, and trigonometric functions such as sine, cosine, and tangent. It then goes on to cover a wide range of topics, including the laws of sines and cosines, the properties of triangles, and the use of trigonometry in solving practical problems such as navigation and surveying. The second section of the book focuses on spherical trigonometry, which is particularly important in the study of astronomy and geography. It covers topics such as the spherical triangle, the Napier's rules, and the solution of spherical triangles. Overall, Elements of Trigonometry: Plane and Spherical is a valuable resource for students and professionals in mathematics, engineering, and other fields that require a solid understanding of trigonometry. It is written in a clear and concise style and includes numerous examples and exercises to help readers master the material.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.