How Chromogeometry Transcends Klein's Erlangen Program for Planar Geometries - N J Wildberger

How Chromogeometry Transcends Klein's Erlangen Program for Planar Geometries - N J Wildberger

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Blue Euler line

14 of 24

14 of 24

Blue Euler line

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How Chromogeometry Transcends Klein's Erlangen Program for Planar Geometries - N J Wildberger

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  1. 1 Note: Around the diagram for the green geometry has one of the "green squares" incorrectly drawnthe one with area 18 --it too should be a parallelogram.
  2. 2 Intro to three-fold symmetry in planar geometry
  3. 3 Quadrance between points
  4. 4 Pythagoras and Triple quad formula
  5. 5 Spread between lines
  6. 6 Spread as a normalized squared determinant
  7. 7 Laws of affine rational trigonometry
  8. 8 Thales' theorem
  9. 9 Proof of Cross law
  10. 10 Blue Pythagoras
  11. 11 Red Pythagoras
  12. 12 Green Pythagoras
  13. 13 Coloured altitudes
  14. 14 Blue Euler line
  15. 15 Red Euler line
  16. 16 Green Euler line
  17. 17 Omega triangle
  18. 18 Omega triangle and more
  19. 19 Blue ellipse and its diagonals
  20. 20 Red ellipse
  21. 21 Green ellipse and diagonals
  22. 22 Three sets of foci and directrices
  23. 23 A chromatic parabola
  24. 24 References

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