Elements of Plane Trigonometry (Classic Reprint)

This book provides a methodical, detailed trigonometrical approach to the calculation of triangles. The author begins by discussing the solutions to calculations of triangles with two given sides and an included angle through geometrical construction and rigorous arithmetical methods that provide greater precision. This approach establishes the basis for the creation of trigonometric tables of sines, cosines, and tangents of angles, which can be used to solve right-angled triangles. The author then explores the calculation of triangles in which none of the angles are right angles. The practical methods presented in this book have formed the backbone of trigonometrical calculations for centuries and continue to be essential for disciplines such as engineering, navigation, and astronomy.