Conic Sections Treated Geometrically by William Henry Besant
Book Contents :-
0. Introduction
1. The Construction of a Conic Section, and General Properties
2. The Parabola
3. The Ellipse
4. The Hyperbola
5. The Rectangular Hyperbola
6. The Cylinder and the Cone
7. The Similarity of Conics, the Areas of Conics, and the Curvatures of Conics
8. Orthogonal Projections
9. Of Conics in General
10. Ellipses as Roulettes and Glissettes
11. Harmonic Properties, Poles and Polars
12. Reciprocal Polars
13. The Construction of a Conic from Given Conditions
14. The Oblique Cylinder, the Oblique Cone, and the Conoids
15. Conical Projection
About this book :-
This is a classic book that explores the shapes formed by cutting a cone, like circles, ellipses, parabolas, and hyperbolas. The book explains these shapes using clear geometric methods rather than heavy algebra. The text opens with foundational constructions of conic sections, followed by detailed discussions on specific curves, including their unique properties and applications. Special attention is given to the parabolic, elliptical, and hyperbolic curves, each treated with comprehensive exercises that reinforce the theoretical concepts. Besant also delves into the harmonic properties of curves, projections, and the methods of reciprocation, making this an invaluable resource for mastering advanced geometry.
It’s known for its straight forward explanations and helps readers see the beauty and properties of conic sections through simple, visual reasoning. It’s a great choice for both students and educators who want to learn about these important curves in a clear and intuitive way.
Book Detail :-
Title:
Conic Sections Treated Geometrically by William Henry Besant
Publisher:
George Bell and Sons
Year:
1895
Pages:
367
Type:
PDF
Language:
English
ISBN-10 #:
ISBN-13 #:
License:
N\A
Amazon:
Amazon
About Author :-
The author
William Henry Besant
was a well-known British mathematician, known for his work in geometry and fluid mechanics. He spent much of his career at Cambridge University, where he taught and helped prepare many top students for important exams. Besant wrote important books about math, including ones about shapes called conic sections. He was honored by important science groups for his work. His clear writing and dedication to teaching left a lasting impact on mathematics education.
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