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A Course of Pure Geometry: Properties of the Conic Sections by E.H. Askwith




A Course of Pure Geometry: Conic Sections - Table of Contents

1. Some Properties of the Triangle 2. Some Properties of Circle 3. The Use of Signs, Concurrence and Collinearity 4. Projection 5. Cross Ratios 6. PEESPECTIVE 7. HARMONIC SECTION 8. INVOLUTION 9. THE CONIC SECTIONS 10. PEOPEBTIES COMMON TO ALL CONICS 11. THE PARABOLA 12. THE ELLIPSE 13. THE HYPERBOLA 14. THE EECTANGULAR HYPEEBOLA 15. OllTHOGONAL PEOJECTION 16. CROSS-EATIO PEOPEETIES OF CONICS P {ABCD) constant 17. EECIPEOCATION 18. CmCULAE POINTS. FOCI OF CONICS 19. INVERSION 20. SIMILARITY OF FIGURES

What You Will Learn in A Course of Pure Geometry: Conic Sections

"A Course of Pure Geometry: Properties of the Conic Sections" by "E.H. Askwith" is a timeless textbook that explores the beauty and logic of "pure geometry". Written in the early 20th century, it provides a complete study of "conic sections" the ellipse, parabola, and hyperbola, using geometric reasoning instead of algebra or coordinate methods. The book focuses on developing a strong understanding of geometric principles through clear definitions, logical proofs, and classical constructions. Askwith avoids analytical shortcuts, guiding readers to see how each property of a conic can be derived purely from geometry. This approach makes it an excellent resource for advanced students, teachers, and enthusiasts who want to deepen their grasp of mathematical logic and structure. With its elegant explanations and rigorous treatment, the book remains relevant for anyone studying higher geometry or projective geometry. It highlights the harmony between logic and visualization, encouraging readers to think deeply about shapes, relationships, and proofs. "A Course of Pure Geometry" stands as a cornerstone of traditional mathematical education, perfect for those who value precision, reasoning, and the timeless art of geometric thought.

Book Details & Specifications

Title: A Course of Pure Geometry: Properties of the Conic Sections by E.H. Askwith
Publisher: Cambridge University Press
Year: 1917
Pages: 411
Type: PDF
Language: English
ISBN-10 #: N\A
ISBN-13 #: N\A
License: N\A
Amazon: Amazon

About the Author: E.H. Askwith

The author E.H. Askwith was a British mathematician, he worked as Chaplain at Trinity College, Cambridge, and wrote several important books on geometry. His books explain hard math ideas in a clear and easy way. Many students and teachers still use his work today.


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