Elementary Trigonometry by William E. Paterson
Elementary Trigonometry - Table of Contents
1. Angles and their Measurement. The Degree. Positive and Negative Angles. The Grade. Connexion between Arc and Angle. Circular Measure. The Points of the Compass. Gradient
2. Definitions of Trigonometrical Ratios. Their Graphs. Inverse Notation. Construction of Angle with Given Ratio
3. Elementary Formulae. Identities. Ratios OF Complementary and Supplementary Angles. Ratios of 0°, 30°, 60°, 45°, 90°. The Small Angle
4. Use of Tables. Harder Graphs. General Solutions of Equations. Use of Logarithms
5. The Right-angled Triangle Definitions of the Trigonometrical Ratios. Solution of Right-angled Triangles. Navigation: Plane Sailing. Ratios of the Double Angle and Half Angle
6. Relations between the Sides and Angles of a Triangle. Area of Triangle. The Circles of the Triangle
7. Solution of Triangles
8. Projection. Vector Quantities. Composition AND Resolution of Vectors. Projection of an Area on a Plane. Geometrical Representation of Imaginary Quantities. Demoivre's Theorem
9. Ratio of the Sum or Difference of two Angles. Sum or Difference of Two Sines or Cosines. Product of Sines and Cosines. The Double Angle and Half-Angle
What You Will Learn in Elementary Trigonometry
"Elementary Trigonometry by William E. Paterson" is a classic textbook designed to introduce students to the foundational concepts of "trigonometric ratios". First published in 1911, the book offers clear explanations of functions and identities. It emphasizes understanding the relationships between angles and sides of triangles, making it ideal for beginners seeking a strong conceptual foundation. Paterson’s methodical approach ensures that readers grasp the essential principles before moving on to more advanced topics, making learning structured and intuitive.
The book also provides practical guidance on solving triangles and using trigonometric tables, which were especially important in the pre-digital era. While it doesn’t rely heavily on illustrations, the text is detailed and precise, helping students develop problem-solving skills and a deep understanding of "trigonometric principles". Exercises and examples throughout the book reinforce learning, allowing readers to apply concepts in a structured manner.
Paterson’s work remains relevant for students and educators who appreciate a traditional, thorough approach to mathematics. Its focus on clarity, logical progression, and practical applications makes it a valuable resource for classroom instruction or self-study. For anyone seeking a solid foundation in trigonometry, this book provides comprehensive coverage of essential concepts, from basic ratios to advanced triangle solutions in "Elementary Trigonometry".
Book Details & Specifications
Title:
Elementary Trigonometry by William E. Paterson
Publisher:
Clarendon Press
Year:
1911
Pages:
213
Type:
PDF
Language:
English
ISBN-10 #:
B00088R8RM, 1020771712
ISBN-13 #:
978-1020771712
License:
Public Domain Work
Amazon:
Amazon
About the Author: William Ernst Paterson
The author
William Ernst Paterson
was a Scottish minister, theologian, and academic, best known for his role as a professor of divinity at the University of Edinburgh. He played a key part in the reunification of the United Free Church with the Church of Scotland and was elected a fellow of the "Royal Society of Edinburgh". Paterson authored several influential works, including "The Apostles Teaching" and "The Nature of Religion", contributing significantly to "theological education" and ecclesiastical history. His disciplined approach and scholarly insight made him a respected figure in both academia and the church, leaving a lasting legacy in "Scottish theology".
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