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Ellipse Homotopy

Ellipse Homotopy
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2018-12-28 06:02
VectorTransformation
This example demonstrates the homotopy transformation of an ellipse. Key mathematical concepts include ellipses, vectors, and transformations. Using GeoGebra commands such as Ellipse, Segment, Circle, and Intersect, one can dynamically observe the changes in the ellipse under different parameters. Suitable for high school mathematics education, particularly in coordinate geometry and transformations.

GeoGebra Commands & Parameters

  1. Ellipse(A, B, C) → c
  2. Ellipse(D, E, F) → d
  3. Segment(A, D) → f
  4. Segment(B, E) → g
  5. Segment(C, F) → h
  6. Ellipse(B, A, C) → e
  7. Ellipse(E, D, F) → k
  8. Circle(B, (t * g)) → p
  9. Intersect(p, g) → G, J
  10. Circle(A, (t * f)) → q
  11. Intersect(q, f) → H,
  12. Circle(C, (t * h)) → r
  13. Intersect(r, h) → I, K
  14. Ellipse(G, H, I) → s