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Geometry

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.

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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..

Key sections

  • 01Geome try.
  • 02Opening What geometry is.
  • 03Chapter I Egypt and Babylon.
  • 04Chapter II Thales of Miletus.
  • 05Chapter III The Pythagorean theorem.
  • 06Chapter IV The Elements.
  • 07Chapter V The five postulates.
  • 08Chapter VI Compass and straightedge.

Topics covered

mathematicsgeometry

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Slide outline
  1. 01Geome try.
  2. 02Opening What geometry is.
  3. 03Chapter I Egypt and Babylon.
  4. 04Chapter II Thales of Miletus.
  5. 05Chapter III The Pythagorean theorem.
  6. 06Chapter IV The Elements.
  7. 07Chapter V The five postulates.
  8. 08Chapter VI Compass and straightedge.
  9. 09Chapter VII Three classical problems.
  10. 10Chapter VIII Conic sections.
  11. 11Chapter IX Archimedes of Syracuse.
  12. 12Chapter X Analytic geometry.
  13. 13Chapter XI Projective geometry.
  14. 14Chapter XII The parallel postulate falls.
  15. 15Chapter XIII Hyperbolic geometry.
  16. 16Chapter XIV Spherical geometry.
  17. 17Chapter XV Differential geometry.
  18. 18Chapter XVI Klein's program.
  19. 19Chapter XVII Hilbert's 1900 problems.
  20. 20Chapter XVIII Topology emerges.
  21. 21Chapter XIX Coxeter and 20th-century geometry.
  22. 22Chapter XX Penrose tilings.
  23. 23Chapter XXI An aperiodic monotile.
  24. 24Chapter XXII Computers and geometry.
  25. 25Chapter XXIII Geometry as physics.
  26. 26Chapter XXIV Algebraic geometry.
  27. 27Chapter XXV Tropical geometry.
  28. 28Chapter XXVI Symplectic geometry.
  29. 29Chapter XXVII Twenty essentials.
  30. 30Chapter XXVIII Watch & read.
  31. 31Chapter XXIX Where to begin.
  32. 32The end of the deck.
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Category
Mathematics
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Updated
2026-05-17
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