Plane & Spherical Trigonometry in Three Parts by Henry Goodwin
Plane and Spherical Trigonometry in Three Parts - Table of Contents
Part-I Plane Trigonometry
1. On Measurement, Unit, Ratio
2. On the Measurement of Angles
3. On the Application of Algebraical 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, Etc
Part-II Spherical Trigonometry
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
5. The Solution of Oblique-Angled Spherical Triangles
6. The Solution of Right-Angled Spherical Triangles
7. The Solution of Quadrantal Spherical Triangles
What You Will Learn in Plane and Spherical Trigonometry in Three Parts
"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 Details & Specifications
Title:
Plane & Spherical Trigonometry in Three Parts by Henry Goodwin
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 the Author: Henry Bedingfield Goodwin
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.
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