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Spherical Trigonometry by Isaac Todhunter - Free PDF



About this book :-
"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 Detail :-
Title: Spherical Trigonometry by Isaac Todhunter - Free PDF
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 Author :-
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.

Book 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

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