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Elements of Trigonometry, and Trigonometrical Analysis: Preliminary to the Differential Calculus is a book written by Augustus De Morgan in 1837. The book is a comprehensive guide to the principles of trigonometry and its applications in mathematical analysis. It is intended as a preliminary study for those who wish to pursue the more advanced topics of differential calculus.The book covers a wide range of topics, including the definitions and properties of trigonometric functions, the solution of triangles, the use of logarithmic and exponential functions in trigonometry, and the derivation of trigonometric identities. The author provides numerous examples and exercises throughout the book to aid in understanding the concepts presented.De Morgan's writing style is clear and concise, making the book accessible to both students and professionals in the field of mathematics. The book is also notable for its historical significance, as it was one of the earliest works to introduce the concept of imaginary numbers in trigonometry.Overall, Elements of Trigonometry, and Trigonometrical Analysis: Preliminary to the Differential Calculus is a valuable resource for anyone interested in the study of trigonometry and its applications in mathematics.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.