Plane and Spherical Trigonometry in three parts by Henry Goodwin - Free PDF

About this book :-
"Plane and Spherical Trigonometry in Three Parts" by Henry Goodwin is a classic mathematics textbook designed to provide a thorough understanding of both "plane trigonometry" and "spherical trigonometry". First published in 1893, the book is divided into three sections, making it structured and accessible for students and professionals alike. Goodwin emphasizes clarity and logical progression, helping readers grasp fundamental concepts such as trigonometric ratios, identities, and the solution of triangles in two-dimensional geometry. The first part focuses on the basics of plane trigonometry, ensuring a strong foundation for further study. The second part of the book extends trigonometric concepts to spherical geometry, which deals with triangles on the surface of a sphere. It covers the spherical law of sines and cosines, spherical triangles, and practical applications in "astronomy" and navigation. By exploring the properties of spherical triangles, Goodwin provides readers with essential tools for solving real-world problems that involve curved surfaces, such as celestial calculations and global navigation. The final section emphasizes practical "trigonometric applications", including surveying, triangulation, and measuring distances and angles accurately. Exercises and examples throughout the book reinforce learning and help readers apply concepts effectively. Goodwin’s work remains a valuable resource for anyone seeking a comprehensive understanding of trigonometry, combining theory, practical methods, and real-world problem solving.

Book Detail :-
Title: Plane and Spherical Trigonometry in three parts by Henry Goodwin - Free PDF
Publisher: Longmans, Green, and Co.
Year: 1907
Pages: 296
Type: PDF
Language: English
ISBN-10 #: 1151784427
ISBN-13 #: 978-1103791569
License: Public Domain Work
Amazon: Amazon

About Author :-
The author Henry Bedingfield Goodwin was a British mathematician and educator, best known for his textbook "Plane and Spherical Trigonometry in Three Parts". His work focuses on clear explanations of "plane trigonometry" and "spherical trigonometry", making complex concepts accessible for students and learners. His work remains a valuable resource for both self-study and academic instruction.

Book Contents :-
Part-I PLANE TRIGONOMETRY. 1. ON MEASUREMENT, UNIT, RATIO 2. ON THE MEASUREMENT OF ANGLES . 3. ON THE APPLICATION OF ALGABRICAL SIGNS 4. ON THE TRIGONOMETRICAL RATIOS 5. ON THE CHANGES IN VALUE OF THE TRIGONOMETRICAL RATIOS 6. ON THE RATIOS OF ANGLES IN THE FIRST QUADRANT 7. ON THE RATIOS OF THE COMPLEMENT AND SUPPLEMENT 8. ON THE RELATIONS BETWEEN THE TRIGONOMETRICAL RATIOS FOR THE SAME ANGLE 9. ON THE RATIOS OF ANGLES UNLIMITED IN MAGNITUDE 10. ON THE RATIOS OF THE SUM AND DIFFERENCE OF ANGLES 11. ON THE RATIOS FOR MULTIPLE AND SUB MULTIPLE ANGLES 12. ON THE SOLUTION OF TRIGONOMETRICAL EQUATIONS 13. ON THE INVERSE NOTATION 14. ON LOGARITHMS 15. ON THE ARRANGEMENT OF LOGARITHMIC TABLES 16. ON THE FORMULAE FOR THE SOLUTION OF TRIANGLES 17. ON THE SOLUTION OF EIGHT-ANGLED TRIANGLES 18. ON THE SOLUTION OF TRIANGLES OTHER THAN RIGHTANGLED 19. PROBLEMS ON THE SOLUTION OF TRIANGLES 20. OF TRIANGLES AND POLYGONS INSCRIBED IN CIRCLES, &c Part-II SPHERICAL TRIGONOMETREY 1. THE GEOMETRY OF THE SPHERE 2. ON CERTAIN PROPERTIES OF SPHERICAL TRIANGLES 3. ON FORMULA CONNECTING FUNCTIONS OF THE SIDES AND ANGLES OF A SPHERICAL TRIANGLE 4. ON THE SOLUTION OF OBLIQUE-ANGLED SPHERICAL TRIANGLES 5. ON THE SOLUTION OF EIGHT-ANGLED SPHERICAL TRIANGLES 6. ON THE SOLUTION OF QUADRANTAL SPHERICAL TRIANGLES Part-III PRACTICAL TRIGONOMETRY. PLANE AND SPHERICAL. 1. ON THE METHOD OF USING TABLES OF LOGARITHMS 2. THE SOLUTION OF RIGHT-ANGLED PLANE TRIANGLES 3. THE SOLUTION OF OBLIQUE-ANGLED PLANE TRIANGLES 4. AREAS OF PLANE TRIANGLES 200 5. THE SOLUTION OF OBLIQUE-ANGLED SPHERICAL TRIANGLES 6. THE SOLUTION OF RIGHT-ANGLED SPHERICAL TRIANGLES 7. THE SOLUTION OF QUADRANTAL SPHERICAL TRIANGLES MISCELLANEOUS EXAMPLES IN PLANE TRIGONOMETRY MISCELLANEOUS EXAMPLES IN SPHERICAL TRIGONOMETRY ANSWERS TO THE EXAMPLES A COLLECTION OF EXAMPLES SELECTED FROM EXAMINATION PAPERS SET AT THE ROYAL NAVAL COLLEGE BETWEEN THE YEARS

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