三角形の中央=フェルマー点

三角形の中央=フェルマー点
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2024-03-23 09:42

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. Polygon(A, C, 3) → poly1, i, j, k, D
  5. Angle(A, D, C) → γ
  6. Polygon(B, A, 3) → poly2, l, m, n, E
  7. Polygon(C, B, 3) → poly3, p, q, r, F
  8. Circle(A, C, D) → c
  9. Circle(C, B, F) → d
  10. Circle(B, E, A) → e
  11. Intersect(c, d) → G, M, ,
  12. Segment(A, H) → s
  13. Segment(H, B) → t
  14. Segment(H, C) → a
  15. Segment(B, M) → f_1
  16. Segment(M, A) → g_1
  17. Segment(M, C) → h_1
  18. Angle(B, M, C) → α
  19. Polygon(M, B, 3) → poly4, i_1, j_1, k_1, I
  20. Segment(I, F) → l_1
  21. Angle(B, I, F) → β
  22. Polygon(H, B, 3) → poly5, m_1, n_1, p_1, J
  23. Segment(J, F) → q_1

AI Drawing Prompt Reference

Draw a triangle and locate its Fermat point using geometric construction. Start by drawing the three sides of the triangle, then construct three circumcircles based on the vertices and sides. Find the intersection point of these three circles, which is the Fermat point. Next, construct three smaller triangles with the Fermat point as a vertex, ensuring each has angles of 120 degrees. Finally, connect the Fermat point to the other vertices of the triangle with lines and label the key points and angles to illustrate the geometric properties of the Fermat point.
The prompt above was compiled from the original drawing commands and is for reference only.