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Unit Lengths in the Regular 19-gon

Unit Lengths in the Regular 19-gon
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2018-02-27 21:32
PolygonTrigonometryGeometric Construction
In collections Theorems on regular polygons
This example demonstrates the unit lengths within a regular 19-gon, exploring its geometric properties. Key math concepts include polygons, unit lengths, and geometric constructions. It utilizes GeoGebra commands like Polygon, Line, Intersect, and Segment to construct and analyze the shape. Suitable for high school and advanced learners studying polygonal geometry and constructions.

GeoGebra Commands & Parameters

  1. Polygon(A, B, 19) → poly1, AB, p, q, r, s, t, a, b, c, d, e, g, C, D, E, F, G, H, I, J, K, L, h, M, N, O, P, Q, R, S, i, j, k, l, m, n
  2. Line(A, C) → f_1
  3. Line(B, D) → g_1
  4. Intersect(f_1, g_1) → T
  5. Line(A, E) → h_1
  6. Line(B, F) → i_1
  7. Intersect(h_1, i_1) → U
  8. Segment(T, U) → TU
  9. Line(B, E) → k_1
  10. Intersect(k_1, f_1) → V
  11. Line(A, F) → l_1
  12. Line(B, H) → m_1
  13. Intersect(l_1, m_1) → W
  14. Segment(V, W) → VW
  15. Line(D, S) → p_1
  16. Intersect(k_1, p_1) → Z
  17. Segment(V, Z) → VZ