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Spherical Trigonometry by Isaac Todhunter




Spherical Trigonometry - Table of Contents

  • 1. Great and Small Circles
  • 2. Spherical Triangles
  • 3. Spherical Geometry
  • 4. Trigonometrical Functions of Sides & Angles of Spherical Triangles
  • 5. Solution of Right-Angled Triangles
  • 6. Solution of Oblique-Angled Triangles
  • 7. Circumscribed and Inscribed Circles
  • 8. Area of a Spherical Triangle & Spherical Excess
  • 9. On Certain Approximate Formulæ
  • 10. Geodetical Operations
  • 11. Small Variations in Parts of a Spherical Triangle
  • 12. Connection of Formulæ in Plane & Spherical Trigonometry
  • 13. Polyhedrons
  • 14. Arcs Drawn to Fixed Points on Sphere Surface
  • 15. Miscellaneous Propositions
  • 16. Numerical Solution of Spherical Triangles

What You Will Learn in Spherical Trigonometry

Spherical Trigonometry by Isaac Todhunter is an authoritative, classic mathematics textbook designed for university students, astronomers, navigators, and mathematicians. Serving as an essential historical study guide, this volume provides a rigorous mathematical foundation for spherical geometry and trigonometric problem solving practice.

The textbook systematically covers spherical triangles, arc length, spherical excess, Napier’s rules of circular parts, Gauss’s formulas, Delambre’s analogies, polyhedrons, and applications to celestial navigation and geodesy. By combining elegant geometric proofs with extensive historical exercise sets, Todhunter enables readers to execute complex spherical calculations and astronomical computations with precision.

Treasured globally for over a century by mathematicians and historians of science for its logical clarity and thorough exposition, this timeless monograph serves as an outstanding self-study resource. Todhunter’s classic pedagogy equips learners with vital mathematical tools required for mastering modern and classical spherical trigonometry principles.

Book Details & Specifications

Title: Spherical Trigonometry by Isaac Todhunter
Publisher: Macmillan and co
Year: 1886
Pages: 189
Type: PDF
Language: English
ISBN-10 #: B000MQUC2I
ISBN-13 #: N\A
License: Public Domain Work
Amazon: Amazon

About the Author: Isaac Todhunter

The author Isaac Todhunter (1820–1884) was an eminent English mathematician, Fellow of St John's College, Cambridge, and prolific author renowned for writing standard Cambridge textbooks in algebra, calculus, and trigonometry.

His celebrated works stand as foundational spherical trigonometry, pure geometry, and classical mathematical study guides.

Read or Downloadable Spherical Trigonometry


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