Ellipse Locus Construction by Tim Brzezinski

Ellipse Locus Construction by Tim Brzezinski
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2015-07-02 23:30
This example demonstrates the actual definition of an ellipse: the set of all points in a plane such that the sum of the distances from any point to two fixed points (foci) is constant. It involves core concepts like ellipse definition, distance formula, and coordinate geometry. Construction uses commands such as Circle, Point, Segment, Midpoint, OrthogonalLine, Intersect, and Angle. Suitable for high school students learning about the geometric definition and construction of ellipses.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Segment(D, C) → a
  4. Midpoint(a) → M
  5. OrthogonalLine(M, a) → p
  6. Segment(A, C) → d
  7. Intersect(p, d) → E
  8. Segment(A, E) → e
  9. Segment(E, C) → f
  10. Segment(D, E) → g
  11. Segment(D, C) → b
  12. Angle(b, p) → α
  13. Segment(D, M) → h
  14. Segment(M, C) → i