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Duality and Projective Geometry

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Simple explanations about projective geometry and duality. Part 1

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Duality and Projective Geometry

  1. 1. Dual andProjective Geometry 1 Jamie Seol
  2. 2. Table of Contents• Dual• Projective Geometry• Dual in PG• Enigmatic Solutions using Dual in PG
  3. 3. Dual?
  4. 4. Involution!
  5. 5. De Morgan
  6. 6. Inversion
  7. 7. Form
  8. 8. Projective?
  9. 9. Motivation
  10. 10. Homogenous Coordinate
  11. 11. sphere torusklein p-space
  12. 12. Parallel Axiom
  13. 13. Geometry Transform
  14. 14. Affine Transform
  15. 15. Projective Transform
  16. 16. Point
  17. 17. Line
  18. 18. Line
  19. 19. Intersection
  20. 20. Passing Line
  21. 21. Point at Infinity
  22. 22. So far• Dual• Projective Geometry• Dual in PG• Enigmatic Solutions using Dual in PG

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