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Trammel Construction of Ellipse

Trammel Construction of Ellipse
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2015-08-03 20:42
Coordinate GeometryLocus
This example demonstrates the construction of an ellipse using the trammel method, involving key mathematical concepts like the definition of an ellipse, locus, and coordinate geometry. It utilizes GeoGebra commands and objects such as Line, Point, Circle, Intersect, Segment, Midpoint, and Locus. Suitable for high school mathematics education and geometric construction learning.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Line(A, C) → b
  3. Point(b) → D
  4. Circle(D, 5) → c
  5. Intersect(c, a, 2) → E
  6. Segment(E, D) → d
  7. Midpoint(d) → G
  8. Locus(G, D) → loc1
  9. Intersect(c, a, 1) → F
  10. Segment(D, F) → e
  11. Midpoint(e) → H
  12. Locus(H, D) → loc2