费马点的直观证明

GeoGebra 命令及参数

1. Polygon(C, B, 3) → polígono2, d_1, e, f, A'
2. Segment(A, A') → d
3. Circle(C, B, A') → c_A
4. Center(c_A) → D
5. CircleArc(D, C, B) → k
6. Intersect(k, d) → F,
7. Polygon(A, B, C) → polígono1, c, a, b
8. Segment(A, P) → h
9. Segment(P, C) → i
10. Segment(P, B) → j
11. Segment(P, A') → w
12. TableText({{"y + z = " + j + "+" + i + " = " + (j + i), "x + w = " + h + " + " + w + " = " + (h + w), "x + y + z = " + (h + i + j)}, {If[varc ∨ vfer, "=", "≥"], If[vseg ∨ vfer, "=", "≥"], If[vseg ∧ varc ∨ vfer, "=", "≥"]}, {"w = " + w, "d = " + d, "d = " + d}, {"(Teor. de Ptolomeo)", "(Des. triangular)", " "}}, "vr") → texto2