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Eccentricity of an Ellipse

Eccentricity of an Ellipse
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2017-11-29 00:43
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to dynamically calculate the eccentricity of an ellipse. Key math concepts include the definition of an ellipse, the formula for eccentricity, and point-line relationships in analytical geometry. Construction highlights involve GeoGebra commands/objects like Line, Point, Ellipse, Intersect, Segment, and LineBisector. Suitable for high school students learning analytical geometry to understand the relationship between eccentricity and the geometric properties of ellipses.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. Line(A, B) → g
  3. Point(g) → C
  4. Point(g) → D
  5. Ellipse(C, D, E) → c
  6. Intersect(c, f, 1) → F
  7. Intersect(c, f, 2) → G
  8. Segment(F, G) → h
  9. LineBisector(h) → i
  10. Intersect(c, i, 2) → H
  11. Intersect(c, i, 1) → I
  12. Intersect(f, i) → J
  13. Segment(C, H) → k
  14. Segment(C, J) → j