TY  - BOOK
AU  - Baltus,Christopher
ED  - SpringerLink (Online service)
TI  - Collineations and Conic Sections: An Introduction to Projective Geometry in its History 
SN  - 9783030462871
AV  - QA471 
U1  - 516.5 23
PY  - 2020///
CY  - Cham
PB  - Springer International Publishing, Imprint: Springer
KW  - Projective geometry
KW  - Mathematics
KW  - History
KW  - Projective Geometry
KW  - History of Mathematical Sciences
N1  - Preface -- 1. Introduction -- 2. Central Collineations -- 3. The Geometry of Euclid's Elements -- 4. Conics in Greek Geometry -- 5. Conic Sections in Early Modern Europe -- 6. Conic Sections in Early Modern Europe -- 7. Central Collineations -- 8. Nineteenth Century -- 9. Foci -- 10. Steiner. 11. Desargues and Involution -- 12. Looking Ahead -- 13. Matrices and Homogeneous Coordinates -- 14. Some Applications of Conics in History -- 15. Vertical Stretch and Isaac Newton's Conics -- 16. Three Appendices -- Bibliography
N2  - This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century. Topics covered include but are not limited to: The Projective Plane and Central Collineations The Geometry of Euclid's Elements Conic Sections in Early Modern Europe Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based treatment, this monograph will be of interest to those who enjoy logical thinking, and could also be used in a geometry course that emphasizes projective geometry
UR  - https://doi.org/10.1007/978-3-030-46287-1
ER  -