三角形の中央=フェルマー点
Loading the math board and drawing, please wait…
In collections
Besondere Punkte/Special Points
GeoGebra Commands & Parameters
Segment(A, B) → fSegment(B, C) → gSegment(C, A) → hPolygon(A, C, 3) → poly1, i, j, k, DAngle(A, D, C) → γPolygon(B, A, 3) → poly2, l, m, n, EPolygon(C, B, 3) → poly3, p, q, r, FCircle(A, C, D) → cCircle(C, B, F) → dCircle(B, E, A) → eIntersect(c, d) → G, M, ,Segment(A, H) → sSegment(H, B) → tSegment(H, C) → aSegment(B, M) → f_1Segment(M, A) → g_1Segment(M, C) → h_1Angle(B, M, C) → αPolygon(M, B, 3) → poly4, i_1, j_1, k_1, ISegment(I, F) → l_1Angle(B, I, F) → βPolygon(H, B, 3) → poly5, m_1, n_1, p_1, JSegment(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.