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Ellipse Problem

Ellipse Problem
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2020-03-03 07:07
Coordinate GeometryGeometric Construction
This example demonstrates the geometric properties of an ellipse. Key mathematical concepts include the definition and properties of an ellipse. Using GeoGebra commands such as Line, Point, Segment, Circle, Intersect, and Locus, one can construct an ellipse and related elements. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Point(f) → D
  3. Point(f) → E
  4. Segment(D, E) → h
  5. Segment(C, F) → g
  6. Point(g) → G
  7. Circle(E, Segment[C, G]) → c
  8. Circle(D, Segment[F, G]) → d
  9. Intersect(c, d, 2) → H
  10. Intersect(c, d, 1) → I
  11. Segment(D, H) → i
  12. Segment(H, E) → j
  13. Segment(E, I) → k
  14. Segment(I, D) → l
  15. Locus(H, G) → loc1
  16. Locus(I, G) → loc2