# Geometry

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Category: Mathematics
Slides: 32
Updated: 2026-05-15T22:18:39.075Z
Tags: mathematics, geometry

## Summary

Geometry is the mathematics of shape, space, and the relations between them. It is the oldest branch of the discipline that still has a recognisable name. Key sections include: Geome try.; Opening What geometry is.; Chapter I Egypt and Babylon.; Chapter II Thales of Miletus.; Chapter III The Pythagorean theorem.; Chapter IV The Elements.; Chapter V The five postulates.; Chapter VI Compass and straightedge.; Chapter VII Three classical problems.; Chapter VIII Conic sections..

## Slide Outline

1. Geome try.
2. Opening What geometry is.
3. Chapter I Egypt and Babylon.
4. Chapter II Thales of Miletus.
5. Chapter III The Pythagorean theorem.
6. Chapter IV The Elements.
7. Chapter V The five postulates.
8. Chapter VI Compass and straightedge.
9. Chapter VII Three classical problems.
10. Chapter VIII Conic sections.
11. Chapter IX Archimedes of Syracuse.
12. Chapter X Analytic geometry.
13. Chapter XI Projective geometry.
14. Chapter XII The parallel postulate falls.
15. Chapter XIII Hyperbolic geometry.
16. Chapter XIV Spherical geometry.
17. Chapter XV Differential geometry.
18. Chapter XVI Klein's program.
19. Chapter XVII Hilbert's 1900 problems.
20. Chapter XVIII Topology emerges.
21. Chapter XIX Coxeter and 20th-century geometry.
22. Chapter XX Penrose tilings.
23. Chapter XXI An aperiodic monotile.
24. Chapter XXII Computers and geometry.
25. Chapter XXIII Geometry as physics.
26. Chapter XXIV Algebraic geometry.
27. Chapter XXV Tropical geometry.
28. Chapter XXVI Symplectic geometry.
29. Chapter XXVII Twenty essentials.
30. Chapter XXVIII Watch & read.
31. Chapter XXIX Where to begin.
32. The end of the deck.

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