Barycentres partiels

c = 1.700000000000001 (slider from -10 to 10, step 0.1)
C = (3, -1)
b = 1.6000000000000014 (slider from -10 to 10, step 0.1)
a = 2.700000000000001 (slider from -10 to 10, step 0.1)
B = (5, 3)
A = (-1, 3)
G = Point(A, Vector[b / (a + b + c) Vector[A, B] + c / (a + b + c) Vector[A, C]])
G3 = Point(A, Vector[b / (a + b) Vector[A, B]])
G1 = Point(B, Vector[c / (c + b) Vector[B, C]])
G2 = Point(C, Vector[a / (a + c) Vector[C, A]])
d = Line(A, B)
e = Line(B, C)
f = Line(C, A)
g = Line(A, G)
h = Line(G, B)
i = Line(C, G)
j = true

Tool: Bar3pts
Cliquer successivement sur chaque point et chaque coefficient
Input: A, a, B, b, C, c
Output: G

G = Point(A, Vector[b / (a + b + c) Vector[A, B] + c / (a + b + c) Vector[A, C]])