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Pascal Ellipse

Pascal Ellipse
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2015-10-22 00:42
Coordinate GeometryParametric EquationGeometric Construction
This example demonstrates the construction of a Pascal ellipse. Key mathematical concepts include ellipses, parametric curves, and coordinate systems. Using GeoGebra commands such as Ellipse, LineBisector, and Mirror, a Pascal ellipse can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Ellipse(A, B, C) → c
  2. LineBisector(A, B) → a
  3. Mirror(C, a) → C'
  4. Line(A, B) → b
  5. Mirror(C, b) → C''
  6. Point(c) → D
  7. Mirror(D, a) → D'
  8. Mirror(D, b) → D''
  9. Line(C', C'') → d
  10. Line(C'', D'') → e
  11. Line(D'', D') → f
  12. Line(D', C) → g
  13. Line(C, D) → h
  14. Line(D, C') → i
  15. Intersect(d, g) → E
  16. Intersect(f, i) → F
  17. Intersect(e, h) → G
  18. AreCollinear(E, F, G) → j
  19. Prove(j) → k