Master the fundamentals of plane trigonometry and the art of building trig tables for practical use.
This edition presents clear definitions, geometric proofs, and step‑by‑step methods that connect angles, arcs, and the radius of a circle to the sine, cosine, tangent, and more. It combines theory with hands‑on procedures you can apply to real problems in surveying, navigation, and measurement.
Structured as a practical guide, this work explains how to represent angles arithmetically, construct tables for sines, cosines, tangents, and secants, and use these tools to solve classic problems in plane geometry. It also shows how to apply trigonometric concepts to heights, distances, maps, and areas, making it useful for students and practitioners alike.
- Foundational definitions and the geometric basis of angle measures and arc relationships.
- Step‑by‑step construction of trigonometrical tables for every degree and minute, with practical examples.
- Applications to measuring heights, distances, and creating maps, including area calculations for irregular figures.
- Formulae and verification methods to check calculations and ensure accuracy in manual computations.
Ideal for readers interested in historical approaches to trigonometry, surveying basics, and the development of early mathematical tables.