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Ellipse Demonstration by Meriem

Ellipse Demonstration by Meriem
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2018-10-25 08:52
Coordinate GeometryOptimizationGeometric Construction
This example demonstrates the geometric construction of an ellipse and its rotational properties. It involves core mathematical concepts such as the definition of an ellipse, rotation, coordinate geometry, parallelograms, limits, and optimization problems. The construction uses GeoGebra commands like Point, Ellipse, Intersect, and Segment. It is suitable for high school students and math enthusiasts studying the geometric properties and calculations of ellipses.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B
  2. Point(yAxis) → D
  3. Ellipse(A, B, C) → c
  4. Intersect(c, xAxis, 1) → E
  5. Intersect(c, xAxis, 2) → F
  6. Segment(E, F) → f
  7. Point(c) → G
  8. Segment(G, A) → g
  9. Segment(G, B) → h