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Ellipse Construction by Dilli Raj Lamichhane

Ellipse Construction by Dilli Raj Lamichhane
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2016-07-09 23:23
CircleCoordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric construction of an ellipse. Key math concepts include circles, similarity transformations, and coordinate geometry. Construction involves commands like Point, Segment, Circle, and Intersect. Suitable for middle school and above students learning the definition and properties of ellipses.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → a
  4. Point(Circle[C, a + 1]) → D
  5. Segment(C, D) → b
  6. Point(b) → E
  7. Segment(C, E) → c
  8. Segment(E, D) → d
  9. Circle(A, c) → e
  10. Circle(B, d) → f
  11. Intersect(e, f) → P, P', ,
  12. Segment(A, P) → g
  13. Segment(B, P) → h
  14. Segment(A, P') → i
  15. Segment(P', B) → j