Elements of Plane and Spherical Trigonometry: A Text-Book for Colleges and Schools (Classic Reprint)

Master spherical trigonometry with clear rules, step-by-step methods, and concrete examples.

This college- and school-friendly text presents Napier’s rules for spherical triangles, explains key theorems, and shows how to apply them to solve right and oblique triangles. The book emphasizes careful procedure, sign handling, and cross-checks to ensure correct results.

This edition guides readers through the full workflow of spherical trigonometry, from fundamental concepts to practical calculations. You’ll learn how to identify the middle part in a triangle, apply the rules to find unknowns, and verify results with checks. The material includes worked examples, discussion of logarithmic work, and careful attention to special cases and quadrant signs. It is written to support self-study as well as classroom use.

• Foundational concepts: middle parts, opposite and adjacent parts, and Napier’s rules
• Theorems that constrain spherical right triangles and relationships among angles and sides
• Systematic methods for solving right and oblique triangles, with multiple given parts
• Worked examples and step-by-step logarithmic calculations to reinforce learning

Ideal for readers studying higher geometry, trigonometry, surveying, or related fields who want a solid, practice-focused reference on spherical and plane trigonometry in one volume.