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Tangent Circles

Tangent Circles
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2019-10-27 20:36
CircleDerivativeGeometric Construction
This example demonstrates the phenomenon of two circles being tangent. Key mathematical concepts include the properties of circles, geometric mean, and tangents. Using GeoGebra commands such as Circle, Segment, Point, etc., tangent circles can be constructed. Suitable for students at the junior high school level and above to learn geometric construction and circle properties.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c_1
  2. Segment(A, B) → a_1
  3. Point(a_1) → C
  4. Segment(A, C) → b_1
  5. Circle(B, b_1) → d
  6. Ray(A, B) → h
  7. Intersect(d, h, 2) → D
  8. Circle(D, B) → e
  9. Segment(B, D) → j_1
  10. Circle(A, a_1 + c_2) → f
  11. Circle(D, b_1 + c_2) → g
  12. Intersect(f, g, 2) → E
  13. Circle(E, c_2) → k
  14. Circle(A, i) → p
  15. Intersect(k, p, 1) → F
  16. Segment(E, F) → c
  17. OrthogonalLine(F, c) → l
  18. OrthogonalLine(A, l) → m
  19. OrthogonalLine(D, l) → n
  20. Intersect(m, l) → G
  21. Intersect(l, n) → H
  22. Segment(A, G) → a
  23. Segment(D, H) → b
  24. OrthogonalLine(E, a) → s
  25. Intersect(s, a) → I
  26. Intersect(s, b) → J
  27. Segment(I, J) → t
  28. Segment(A, E) → f_1
  29. Segment(E, D) → g_1