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
Elements of Plane and Spherical Trigonometry by Henry Goodwin is a distinguished historical mathematics textbook written for students of navigation, astronomy, and advanced geometry. Serving as an essential classical study guide, this volume provides a robust framework for plane and spherical trigonometry book problem solving practice.
The monograph systematically covers angular measurements, trigonometric functions, fundamental identities, logarithmic solution of right and oblique plane triangles, solid angles, and the resolution of spherical triangles using Napier’s rules and spherical laws of sines and cosines. By combining elegant geometric proofs with practical astronomical calculations, Goodwin enables readers to execute essential spherical triangle solutions and geodesic projections with high precision.
Widely valued by historians of science, geodesists, and mathematics enthusiasts for its rigorous Cambridge pedagogy and clear step-by-step problem sets, this open resource serves as an outstanding self-study guide. Goodwin’s lucid explanations equip self-learners with crucial quantitative skills required for mastering classical spherical trigonometry principles.
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
(1818–1891) was a distinguished Cambridge mathematician, Fellow of Gonville and Caius College, and later the Bishop of Carlisle, who authored several celebrated educational treatises in mathematics and mechanics.
His foundational academic texts stand as timeless plane trigonometry, spherical geometry, and classic mathematical physics study guides.
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