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Horizontal Ellipse

Horizontal Ellipse
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2016-12-08 06:25
Coordinate GeometryGeometric Construction
This example demonstrates a horizontal ellipse. Key mathematical concepts include the definition of an ellipse, foci, and directrices. Using GeoGebra commands such as Segment, Intersect, and Point, the construction of the ellipse and related elements is illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Segment(C, A) → segMajAx
  2. Segment(B, D) → segMinAx
  3. Intersect(ellipse, segMinAx, 1) → E
  4. Point(ellipse) → P
  5. Polygon(fp2, fp1, P) → triFpDist, s2, s3, s1
  6. Point({fp1}) → focalPt1
  7. Point({fp2}) → focalPt2
  8. Segment(B, D) → segMajAxV
  9. Segment(C, A) → segMinAxV