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Foci of an Ellipse

Foci of an Ellipse
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2018-04-06 23:00
Coordinate GeometryTransformationGeometric Construction
In collections Conic sections
This example demonstrates the relationship between an ellipse and its foci. It involves core mathematical concepts such as the definition of an ellipse, focal properties, and coordinate geometry. Construction highlights include using GeoGebra commands like Ellipse, Point, Tangent, Line, OrthogonalLine, Mirror, Segment, and Angle. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Ellipse(A, B, C) → c
  2. Point(c) → D
  3. Tangent(D, c) → f,
  4. Line(A, D) → g
  5. OrthogonalLine(D, f) → h
  6. Mirror(g, h) → g'
  7. Segment(A, D) → i
  8. Segment(D, B) → j
  9. Point(f) → E
  10. Point(f) → F
  11. Angle(E, D, A) → α
  12. Angle(B, D, F) → β