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A Simple Non-Euclidean Geometry and Its Physical Basis : An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity /
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Title:A Simple Non-Euclidean Geometry and Its Physical Basis : An Elementary Account of Galilean Geometry and the Galilean Principle of Relativity / edited by Basil Gordon.
- Author:
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Published:New York, NY : Springer New York, 1979.
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ISBN:9781461261353
9780387903323 (print)
- Format:Book
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Physical Desc:1 online resource (307p.) : online resource.
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Contents:
1. What is geometry?
2. What is mechanics?
I. Distance and Angle; Triangles and Quadrilaterals
3. Distance between points and angle between lines
4. The triangle
5. Principle of duality; coparallelograms and cotrapezoids
6. Proof s of the principle of duality
II. Circles and Cycles
7. Definition of a cycle; radius and curvature
8. Cyclic rotation; diameters of a cycle
9. The circumcycle and incycle of a triangle
10. Power of a point with respect to a circle or cycle; inversion
Conclusion
11. Einstein's principle of relativity and Lorentz transformations
12. Minkowskian geometry
13. Galilean geometry as a limiting case of Euclidean and Minkowskian geometry
Supplement A. Nine plane geometries
Supplement B. Axiomatic characterization of the nine plane geometries
Supplement C. Analytic models of the nine plane geometries
Answers and Hints to Problems and Exercises
Index of Names
Index of Subjects. -
Subjects:Mathematics.
Mathematics.
Mathematics, general.
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Held at:Local Database
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Holdings Information
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Database:Local Database
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Location: Available via Internet
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Call Number: QA1-939 [Internet]
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Linked Resources:Full text available from Springer Nature Mathematics and Statistics (R0) eBooks before 2005 English/International
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Access Note:Access restrictions apply.
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Database:Local Database
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Persistent link: