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Ellipse Exploration by krishnatheballer

Ellipse Exploration by krishnatheballer
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2015-03-17 09:26
Coordinate GeometryGeometric Construction
This example demonstrates the geometric properties of an ellipse, involving concepts such as foci, semi-major axis, and semi-minor axis. Using GeoGebra commands like Intersect, Segment, Sequence, and Line, dynamic exploration of the ellipse's properties is possible. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Segment((0, 0), (10, 0)) → a
  3. Sequence(Segment[(0, 0), ((10 * cos(t)), (10 * sin(t)))], t, 0, 360*°, 10*°) → list1
  4. Intersect(c, Element[list1, 1]) → B,
  5. Sequence(Intersect[c, Element[list1, i]], i, 1, 36) → list2
  6. Sequence(Intersect[d, Element[list1, i]], i, 1, 36) → list3
  7. Line(Element[list2, 3], xAxis) → b
  8. Line(Element[list3, 3], yAxis) → e
  9. Intersect(b, e) → C
  10. Sequence(Line[Element[list2, i], xAxis], i, 1, 36) → list4
  11. Sequence(Line[Element[list3, i], yAxis], i, 1, 36) → list5
  12. Sequence(Intersect[Element[list4, i], Element[list5, i]], i, 1, 36) → list6