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Ellipse inscribed in quadrilateral

Ellipse inscribed in quadrilateral
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2016-04-23 16:21
IntegralMatrix
This example demonstrates how to construct an ellipse inscribed within a quadrilateral. Key math concepts include ellipse, matrices, definite integral, continuity, volume, and integral calculus. The construction utilizes GeoGebra commands and objects such as Line, Intersect, Segment, Point, and Conic. Suitable for high school and above students to understand the methods of constructing complex geometric figures and their applications.

GeoGebra Commands & Parameters

  1. Line(C, D) → a
  2. Line(B, C) → b
  3. Line(A, D) → c
  4. Line(A, B) → d
  5. Intersect(b, c) → P_1
  6. Intersect(a, d) → P_2
  7. Segment(A, C) → e
  8. Segment(B, D) → f
  9. Intersect(e, f) → G
  10. Line(P_1, G) → g
  11. Line(G, P_2) → h
  12. Intersect(d, g) → W
  13. Intersect(h, b) → X
  14. Intersect(a, g) → Y
  15. Intersect(c, h) → Z
  16. Line(W, X) → i
  17. Line(X, Y) → j
  18. Line(W, Z) → k
  19. Intersect(j, k) → P
  20. Point(d) → Q
  21. Line(P, Q) → l
  22. Intersect(i, l) → R
  23. Intersect(l, k) → J
  24. Line(Y, Q) → m
  25. Line(Z, R) → n
  26. Intersect(m, n) → V
  27. Conic(W, X, V, Y, Z) → p