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Incircle and Tangent Function Demo

Incircle and Tangent Function Demo
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2015-10-21 23:01
CircleFunctionTrigonometryCoordinate GeometryGeometric Construction
In collections Triangle Congruence Investigations
This example demonstrates the dynamic relationship between a triangle's incircle, tangent functions, and scatter plots. It involves core math concepts like incircle, tangent function, logic, and volume calculation. Construction uses commands like Segment, Rotate, Angle, Ray, Intersect, Point, and objects like text1, α, β, etc. Suitable for high school mathematics education to understand the connection between geometry and functions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. Segment(C, D) → b
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → γ
  5. Rotate(A, (-β), B) → A'
  6. Angle(A', B, A) → δ
  7. Ray(A, B') → c
  8. Ray(B, A') → d
  9. Intersect(c, d) → E
  10. Segment(E, A) → e
  11. Segment(E, B) → f
  12. Angle(A, E, B) → ε
  13. Rotate(D, α, C) → D'
  14. Angle(D, C, D') → ζ
  15. Rotate(C, (-β), D) → C'
  16. Angle(C', D, C) → η
  17. Ray(C, D') → g
  18. Ray(D, C') → h
  19. Intersect(g, h) → F
  20. Segment(F, C) → i
  21. Segment(F, D) → j
  22. Angle(C, F, D) → θ
  23. Point(Circle[G, k]) → H
  24. Segment(G, H) → l
  25. Point(Circle[I, k]) → J
  26. Segment(I, J) → n
  27. Point(Circle[G, m]) → K
  28. Segment(G, K) → p
  29. Point(Circle[I, m]) → L
  30. Segment(I, L) → q
  31. Segment(K, H) → r
  32. Segment(L, J) → s