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Drawing an Ellipse by Audrey McLaren

Drawing an Ellipse by Audrey McLaren
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2015-05-05 20:36
CircleCoordinate GeometryGeometric Construction
This example demonstrates how to construct an ellipse using geometric methods. Key math concepts include circles, intersections, lines, segments, midpoints, and distances. GeoGebra commands and objects used are Circle, Intersect, Ellipse, Line, Point, Segment, Midpoint, OrthogonalLine, and Distance. Suitable for high school students learning coordinate geometry.

GeoGebra Commands & Parameters

  1. Circle(A, g) → h
  2. Circle(B, e) → k
  3. Intersect(h, k, 1) → C_1
  4. Ellipse(A, B, C_1) → p
  5. Line(A, B) → i
  6. Point(p) → B'
  7. Segment(A, B') → s_1
  8. Segment(B, B') → s_2
  9. Segment(A, B) → a_1
  10. Midpoint(a_1) → G
  11. OrthogonalLine(G, a_1) → b_1
  12. Intersect(p, b_1) → F, E
  13. Line(A, B) → c
  14. Intersect(p, c) → C, D
  15. Segment(E, F) → d
  16. Segment(C, D) → f
  17. Distance(G, D) → distanceGD
  18. Distance(G, E) → distanceGE
  19. Segment(G, E) → b
  20. Segment(G, D) → a