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Ellipse Linkage

Ellipse Linkage
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2014-05-16 23:45
Coordinate GeometryTransformationGeometric Construction
This example demonstrates the geometric construction of an ellipse linkage. Key mathematical concepts include ellipses, curve sketching, and geometric transformations. Using GeoGebra commands such as point, circle, and intersect, the dynamic movement of the linkage can be shown. Suitable for high school mathematics education and geometric construction learning.

GeoGebra Commands & Parameters

  1. Point(Ray[(-5, 0), (-30, 0)]) → C
  2. Circle(C, r) → p
  3. Circle(A, r) → c
  4. Point(c) → B
  5. Circle(B, Distance[A, C]) → q
  6. Intersect(p, q, 1) → F
  7. Intersect(p, q, 2) → D
  8. If(y(B) > 0, D, F) → G
  9. Knochen(A, B) → d, e, f, a, b, g, h, k
  10. Knochen(A, C) → s, t, c_1, i, j, d_1, e_1, f_1
  11. Segment(A, B) → i_1
  12. Segment(C, G) → b_1
  13. Intersect(b_1, i_1) → E
  14. Knochen(G, B) → n, n_2, n_3, n_4, n_5, n_6, n_7, n_8
  15. Knochen(G, C) → l, l_2, l_3, l_4, l_5, l_6, l_7, l_8