médiane issue de A

médiane issue de B

médiane issue de C

Le centre de gravité G se trouve à
l'intersection des 3 médianes.

Centre de gravité

Aires des triangles

A = (-2.1844983379673275, -2.728679225357505)
B = (6.156784971813085, 4.150022901338126)
C = (10.110324732339143, -4.099849084499491)
poly1, c, a, b = Polygon(A, B, C)
D = Midpoint(a)
E = Midpoint(b)
F = Midpoint(c)
d = Segment(A, D)
e = Segment(B, E)
f = Segment(F, C)
poly2, b_1, a_1, d_1 = Polygon(A, D, B)
poly3, c_1, a_2, d_2 = Polygon(A, D, C)
g = false
poly4, a_3, b_2, e_1 = Polygon(B, E, A)
poly5, e_2, b_3, c_2 = Polygon(B, C, E)
h = false
poly6, c_3, f_1, b_4 = Polygon(F, B, C)
poly7, f_2, c_4, a_4 = Polygon(C, A, F)
i = false
G = Intersect(d, e)
j = false
poly8, b_5, g_1, d_3 = Polygon(G, D, B)
poly9, d_4, g_2, c_5 = Polygon(G, C, D)
poly10, c_6, e_3, g_3 = Polygon(E, G, C)
poly11, f_3, g_4, b_6 = Polygon(G, B, F)
poly12, f_4, g_5, a_5 = Polygon(G, A, F)
poly13, e_4, a_6, g_6 = Polygon(A, G, E)
k = true
poly14, c_7, a_7, b_7 = Polygon(A, B, C)
poly17, f_5, c_9, b_9 = Polygon(C, B, F)
poly15, c_8, a_8, f_6 = Polygon(A, F, C)
poly16, b_8, a_9, d_5 = Polygon(A, D, B)
poly18, c_{10}, a_{10}, d_6 = Polygon(A, D, C)
poly19, b_{10}, e_5, c_{11} = Polygon(E, C, B)
poly20, b_{11}, e_6, a_{11} = Polygon(E, A, B)
poly21, a_{12}, g_7, b_{12} = Polygon(G, B, A)
poly22, d_7, g_8, e_7, c_{12} = Polygon(D, G, E, C)
poly23, b_{13}, c_{13}, g_9 = Polygon(C, G, B)
poly24, g_{10}, f_7, a_{13}, e_8 = Polygon(G, F, A, E)
poly25, g_{11}, d_8, b_{14}, f_8 = Polygon(G, D, B, F)
poly26, a_{14}, g_{12}, c_{14} = Polygon(G, C, A)