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Ellipse and Pascal's Ellipse Interactive Demo

Ellipse and Pascal's Ellipse Interactive Demo
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2015-10-22 00:42
Coordinate GeometryCalculusProbability & StatisticsGeometric Construction
This example demonstrates the geometric relationship and properties between ellipses and Pascal's ellipse. It involves core math concepts like ellipse, trapezoid, derivative, probability & statistics, integral calculus, and binomial distribution. Construction highlights include using GeoGebra commands for ellipse, point, segment, intersection, collinearity check, and proof. Suitable for high school students and educators exploring geometric constructions and advanced math applications.

GeoGebra Commands & Parameters

  1. Ellipse(A, B, C) → c
  2. Point(c) → D
  3. Point(c) → E
  4. Point(c) → F
  5. Point(c) → G
  6. Point(c) → H
  7. Segment(E, G) → a
  8. Segment(E, H) → b
  9. Segment(D, F) → d
  10. Segment(C, F) → e
  11. Segment(D, H) → f
  12. Segment(G, C) → g
  13. Intersect(a, d) → I
  14. Intersect(b, e) → J
  15. Intersect(f, g) → K
  16. AreCollinear(I, J, K) → h
  17. Prove(h) → i