Elements of Analytical Geometry by Charles Davies
Elements of Analytical Geometry - Table of Contents
- 1. The Principles
- 2. Ratios and Proportions
- 3. The Circle and the Measurement of Angles
- 4. The Proportions of Figures and the Measurement of Areas
- 5. Regular Polygons and the Measurement of the Circle
- 6. Planes and Solid Angles
- 7. Polyhedrons
- 8. The Three Round Bodies
- 9. Spherical Triangles and Spherical Polygons
- Plane Trigonometry
- Spherical Trigonometry
- Mensuration
What You Will Learn in Elements of Analytical Geometry
In Elements of Analytical Geometry, prominent 19th-century West Point professor and educator Charles Davies delivers a clear, rigorous, and accessible introduction to coordinate geometry. Designed to bridge elementary algebra and higher calculus, this classic work covers rectilinear and polar coordinates in a plane, the straight line, the circle, detailed properties of conics (ellipse, hyperbola, parabola), transformation of coordinate axes, general equations of the second degree, and an introduction to three-dimensional analytical geometry including planes and quadric surfaces.
Written specifically for West Point cadets, university undergraduates, and classical self-learners, Davies emphasizes structured logical progression and geometric application. Readers are guided step-by-step through algebraic derivations of loci, intersection calculations, tangent and normal equations, and spatial coordinate representations.
Widely praised for its pedagogical clarity, historical impact on American mathematical education, and systematic problem sets, this volume stands as one of the best classical analytical geometry textbooks pdf available for study. It equips readers with foundational coordinate methods for mastering plane and solid analytical geometry with confidence.
Book Details & Specifications
Title:
Elements of Analytical Geometry by Charles Davies
Publisher:
Archive
Year:
1851
Pages:
362
Type:
PDF
Language:
English
ISBN-10 #:
1358134391
ISBN-13 #:
978-1358134395
License:
Public Domain Work
Amazon:
Amazon
About the Author: Charles Davies
The author Charles Davies
(1798–1876) was a distinguished American mathematician, military officer, and educator who served as Professor of Mathematics at the United States Military Academy at West Point and Columbia University.
Authoring a celebrated series of mathematical textbooks that defined the standard 19th-century American curriculum, Davies produced seminal educational works, creating an essential resource for scholars seeking a definitive elements of analytical geometry by charles davies pdf for historical and mathematical study.
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