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Eccentricity and Directrix of an Ellipse by Jonathan Holland

Eccentricity and Directrix of an Ellipse by Jonathan Holland
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2018-02-21 10:18
Coordinate GeometryGeometric Construction
In collections Conic sections
This example demonstrates the geometric relationship between the eccentricity and directrix of an ellipse. Key math concepts include ellipse definition, eccentricity, directrix, and coordinate geometry. It uses commands/objects like Ellipse, Point, Segment, Eccentricity, OrthogonalLine, Intersect, Distance, and Angle. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Ellipse(A, B, C) → c
  2. Directrix(c) → g, f
  3. Point(c) → D
  4. Segment(A, D) → r
  5. Eccentricity(c) → eccentricity
  6. OrthogonalLine(D, f) → i
  7. Intersect(f, i) → E
  8. Distance(E, D) → ED
  9. Segment(E, D) → j
  10. Segment(B, D) → k
  11. Intersect(g, i) → F
  12. Segment(D, F) → l
  13. OrthogonalLine(A, f) → m
  14. Angle(Segment[A, B], r) → α
  15. Intersect(f, m) → G
  16. Intersect(c, m, 2) → H
  17. Segment(G, H) → d