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Ellipse String Construction

Ellipse String Construction
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2017-09-13 05:09
VectorCoordinate Geometry
This example demonstrates how to construct an ellipse using a string, highlighting its geometric properties. It involves core math concepts like ellipse definition, vectors, translations, and reflections. Construction uses GeoGebra commands/objects such as Point, Segment, Vector, Translate, and CurveCartesian. Suitable for high school mathematics education to understand the geometric properties and transformations of ellipses.

GeoGebra Commands & Parameters

  1. Point(Segment[(0, 0), (4.99, 0)]) → F
  2. Segment(F, P) → f
  3. Segment(F', P) → g
  4. Vector(C, P) → u
  5. Translate(pic1, u) → pic1'
  6. CurveCartesian((a * cos(u)), (b * sin(u)), u, 0, t) → e
  7. CurveCartesian((a * cos(u)), (b * sin(u)), u, 0, (2 * π)) → i