A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical Applications

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Author: John Bonnycastle (1751-1821) Year: 1806 Publisher: Printed for J. Johnson, St. Paul's Church-yard, by R. Taylor and Co. Place: London Description: xxviii+419+errata pages with diagrams. Octavo (8 1/2" x 5 1/4") bound in full leather with black label to spine in gilt lettering. First edition. A Treatise on Plane and Spherical Trigonometry: With Their Most Useful Practical Applications is a historic mathematical textbook written by the prominent English mathematician and educator John Bonnycastle and originally published in 1806.The book is a comprehensive manual designed to bridge classical geometric theory with the operational demands of the 19th century, focusing on fields like navigation, surveying, and astronomy. The treatise is systematically split into two distinct geographical domains of mathematics: Part 1: Plane Trigonometry: Focuses on two-dimensional surfaces. It covers the measurement of angles, trigonometric functions (sine, cosine, tangent, etc.), the construction of logarithmic tables, and methods for solving standard right-angled and oblique triangles. Part 2: Spherical Trigonometry: Focuses on triangles drawn on the surface of a sphere, utilizing spatial intuition. This section includes calculating spherical excess, properties of great and small circles, and formulas crucial for three-dimensional geometry. What made Bonnycastle's work highly regarded was its departure from purely abstract math to emphasize real-world execution: Astronomy: Calculating t

• Binding: Hardcover

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