Spherical Trigonometry by Isaac Todhunter
Spherical Trigonometry - Table of Contents
1. Great and Small Circles
2. Spherical Triangles
3. Spherical Geometry
4. Relations between the Trigonometrical Functions of the Sides and the Angles of a Spherical Triangle
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. On small variations in the parts of a Spherical Triangle
12. On the connexion of Formulæ in Plane and Spherical Trigonometry
13. Polyhedrons
14. Arcs drawn to fixed points on the Surface of a Sphere
15. Miscellaneous Propositions
16. Numerical Solution of Spherical Triangles
What You Will Learn in Spherical Trigonometry
"Spherical Trigonometry" by Isaac Todhunter is a classic guide to understanding the principles of "spherical geometry". First published in 1859, the book focuses on the relationships between the sides and angles of spherical triangles. Todhunter explains concepts clearly, making it easier for students and educators to grasp complex geometric ideas. His methodical approach ensures that readers can understand both the theory and its "practical applications" in navigation, astronomy, and surveying.
The book covers key topics such as great and small circles, right-angled and oblique-angled spherical triangles, and the calculation of spherical excess, which determines the area of spherical triangles. Todhunter’s use of detailed examples helps readers see how formulas and theorems are applied step by step. By presenting concepts logically and systematically, the book supports effective "problem-solving" and analytical thinking, equipping learners with essential mathematical tools.
While it does not include exercises, Todhunter’s explanations and worked examples make the material highly accessible. Today, "Spherical Trigonometry" remains a valuable resource for anyone studying mathematics, astronomy, or engineering. Its combination of theory and application continues to make it a cornerstone reference for mastering spherical triangles and understanding the geometry of the sphere.
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 British mathematician, graduated from University College London. In 1844 he was admitted at St John's College, Cambridge and in 1865 became a member of the Mathematical Society of London. He was known for his books wrote on mathematics and its history. He also edited the work of other famous mathematicians, such as Boole and Whewell.
Read or Downloadable Spherical Trigonometry
Free Trigonometry Books PDF | Download Textbooks & Manuals