Rational Trigonometry, Generalized Triangle Geometry and Four-Fold Incenter Symmetry

Rational Trigonometry, Generalized Triangle Geometry and Four-Fold Incenter Symmetry

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The Euler line

18 of 33

18 of 33

The Euler line

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Rational Trigonometry, Generalized Triangle Geometry and Four-Fold Incenter Symmetry

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  1. 1 Introduction
  2. 2 Quadrance between points
  3. 3 Pythagoras theorem
  4. 4 Blue Pythagoras
  5. 5 Red Pythagoras
  6. 6 Green Pythagoras
  7. 7 Triple quad formula
  8. 8 Spread between lines
  9. 9 Spread as a normalized squared determinant
  10. 10 Laws of affine rational trigonometry
  11. 11 Triangle geometry and the blue Euler line
  12. 12 Red Euler line
  13. 13 Green Euler line
  14. 14 Omega triangle and Chromogeometry
  15. 15 Triangle geometry with general bilinear forms
  16. 16 Standard coordinates
  17. 17 Standard quadrances and spreads
  18. 18 The Euler line
  19. 19 Bilines and Incenter formulas
  20. 20 Bilines, Incenters, Incircles, contact points
  21. 21 Gergonne points G
  22. 22 Nagel points
  23. 23 Gergonne-Nagel lines and X69
  24. 24 Isogonal and isotomic conjugates
  25. 25 Gergonne-Nagel lines and X69
  26. 26 Bevan points B
  27. 27 Mittenpunkts
  28. 28 Summary
  29. 29 Summary
  30. 30 Summary
  31. 31 Mittenpunkts
  32. 32 Coloured Incenter Circles
  33. 33 More info/References

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