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Frederick_Ray Constructions

Frederick_Ray Constructions
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2018-10-16 02:34
TrigonometryCoordinate GeometryCalculusMatrixGeometric Construction
This example demonstrates geometric constructions based on Frederick_Ray, involving kites, logarithms, calculus, congruence, and matrices. Key math concepts include geometric construction, logarithmic functions, calculus applications, and matrix transformations. It uses commands like Line, OrthogonalLine, Point, Intersect, Segment, Ray, Angle, Distance, LaTeX, and involves objects such as R, S, c_1, d_1, e_1, T, f_2, U, g_2, h_2, i_2, j_2, k_2, V, l_2, m_2, W, Z, n_2, p_2, q_2, r_2, s_2, α, β, γ, δ, ε, ζ, VW, TU, a, text1, WR, RT, b, text2. Suitable for high school students and math enthusiasts studying geometric constructions and advanced mathematics applications.

GeoGebra Commands & Parameters

  1. Line(R, S) → c_1
  2. OrthogonalLine(R, c_1) → d_1
  3. OrthogonalLine(S, c_1) → e_1
  4. Point(d_1) → T
  5. Line(T, c_1) → f_2
  6. Intersect(e_1, f_2) → U
  7. Segment(T, R) → g_2
  8. Segment(R, S) → h_2
  9. Segment(S, U) → i_2
  10. Segment(U, T) → j_2
  11. Segment(R, U) → k_2
  12. Point(k_2) → V
  13. Line(V, h_2) → l_2
  14. OrthogonalLine(V, l_2) → m_2
  15. Intersect(d_1, l_2) → W
  16. Intersect(c_1, m_2) → Z
  17. Segment(T, R) → n_2
  18. Segment(R, S) → p_2
  19. Segment(W, V) → q_2
  20. Segment(V, Z) → r_2
  21. Ray(R, V) → s_2
  22. Angle(Z, R, T) → α
  23. Angle(R, T, U) → β
  24. Angle(U, S, R) → γ
  25. Angle(T, U, S) → δ
  26. Angle(V, Z, R) → ε
  27. Angle(R, W, V) → ζ
  28. Distance(V, W) → VW
  29. Distance(T, U) → TU
  30. LaTeX(a, true, true) → text1
  31. Distance(W, R) → WR
  32. Distance(R, T) → RT
  33. LaTeX(b, true, true) → text2