A clear, practical guide to plane trigonometry and spherical projections
This edition presents the definitions, key theorems, and useful constructions that form the core of plane trigonometry. It explains how to determine the rest of a triangle from three parts, uses circles and radii to connect angles with sines, tangents, and secants, and introduces a robust canon for computing these relationships. The text also covers foundational ideas for spherical projections, including methods to draw great circles and relate angles between circles to their poles and intersections.
This edition is organized to support study in school and self-guided learning, with step-by-step demonstrations and worked examples that illustrate the geometric reasoning behind trigonometric rules. It emphasizes the link between geometric figures and trigonometric quantities, making the material accessible to readers building a foundation in mathematics.
- Core concepts: plane trigonometry definitions, sine, cosine, tangent, secant, and their relationships
- Theorems and corollaries that connect triangle geometry to trig functions
- Practical constructions and problems in spherical projections, including poles, great circles, and angle measurements
- Historical context and structured explanations that aid comprehension and retention
Ideal for students, educators, and anyone seeking a solid, readable introduction to early trigonometry and its geometric applications.