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Ellipse Construction by Josh Berberian

Ellipse Construction by Josh Berberian
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2016-11-27 05:58
Coordinate GeometryGeometric Construction
This example demonstrates the construction of an ellipse. Key mathematical concepts include the definition of an ellipse, foci, and eccentricity. Using GeoGebra commands such as Line, Point, Circle, Midpoint, and Ellipse, the geometric properties of the ellipse can be visually understood. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, G) → m
  2. Point(m) → C
  3. Circle(A, B) → c
  4. Point(c) → D
  5. Line(D, A) → f
  6. Line(D, C) → g
  7. Midpoint(C, D) → E
  8. OrthogonalLine(E, g) → h
  9. Intersect(f, h) → F
  10. Line(C, F) → i
  11. Locus(F, D) → loc1
  12. Segment(A, F) → j
  13. Segment(C, F) → k
  14. Segment(F, D) → l
  15. Polygon(C, E, F) → poly1, f_1, c_1, e
  16. Polygon(F, E, D) → poly2, d, f_2, e_1
  17. Angle(D, E, F) → α
  18. Angle(F, E, C) → β
  19. Segment(F, E) → n
  20. Line(E, F) → p
  21. Segment(F, D) → q
  22. Angle(C, A, F) → γ
  23. OrthogonalLine(F, m) → r
  24. Intersect(m, r) → H
  25. Polygon(A, H, F) → poly3, f_3, a_1, h_1
  26. Angle(H, A, F) → Θ
  27. Locus(F, D) → loc2
  28. Midpoint(A, C) → I
  29. Ellipse(A, C, F) → t
  30. Eccentricity(t) → u
  31. Hyperbola(C, A, F) → d_1
  32. Eccentricity(d_1) → v
  33. LaTeX(u, true, true) → text5
  34. Distance(A, I) → distanceAI
  35. Distance(F, C) → distanceFC
  36. Distance(F, i_1) → distanceFi1
  37. Vector(A, F) → w
  38. Point(zAxis) → J