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Ellipse Construction by CHENNAI GEOGEBRA INSTITUTE

Ellipse Construction by CHENNAI GEOGEBRA INSTITUTE
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2016-05-07 20:28
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric construction of an ellipse. Key math concepts include the definition of an ellipse, foci, directrices, and coordinate geometry. Construction highlights involve using GeoGebra commands/objects like Line, Point, Circle, Segment, Midpoint, OrthogonalLine, Intersect, and Locus. Suitable for high school students learning about ellipse construction principles and properties.

GeoGebra Commands & Parameters

  1. Line(F_1, B) → a
  2. Point(a) → A
  3. Circle(F_1, A) → c
  4. Point(a) → F_2
  5. Point(c) → X
  6. Line(F_1, X) → b
  7. Segment(X, F_2) → d
  8. Midpoint(d) → F
  9. OrthogonalLine(F, d) → e
  10. Intersect(b, e) → P
  11. Locus(P1, X) → loc1
  12. Segment(F_2, P) → f
  13. Segment(P, X) → g
  14. Segment(F_2, F) → h
  15. Segment(F, X) → i