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Simson's theorem

Let's move this figure.
Please conjecture the content of theorem.


  1. : What is the feature
  2. : Confirm the different cases
  3. : See as the relationship between three points
  4. : See as the transformation of triangle
  5. : See as the change of the area of triangle
  6. : Maximum of the area of triangle
  7. : Area of triangle and circumcenter
  8. : Area of triangle and circle

Forum of Geometric Constructor by Y.Iijima