Author: IROIR Michel

 \vec{ u } 

 \vec{ v } 

 \vec{ u } + \vec{ v } 

 \vec{ v } + \vec{ u } 

C

\mbox{avec la relation de Chasles : } \overrightarrow{ A\fgcolor{ff0000}B } + \overrightarrow{\fgcolor{ff0000} B \fgcolor{0000ff}C } = \overrightarrow{ A\fgcolor{0000ff}C } 

\mbox{Construction de : } \vec{ u } + \vec{ v } 

\mbox{avec la relation de Chasles : } \overrightarrow{ C\fgcolor{ff0000}A } + \overrightarrow{\fgcolor{ff0000} A \fgcolor{0000ff}B } = \overrightarrow{ C\fgcolor{0000ff}B } 

\mbox{en utilisant } \vec{ u } + \vec{ v } = \vec{ v } + \vec{ u } 

 \vec{ u } 

 \vec{ v } 

 \vec{u } + \vec{ v } 

\mbox{avec la relation de Chasles : } \overrightarrow{ A  \fgcolor{ff0000} B} + \overrightarrow{\fgcolor{ff0000} B \fgcolor{0000ff}M } = \overrightarrow{ A\fgcolor{0000ff}M } 

A = (0, 6)
B = (4, 8)
u = Vector(A, B)
C = (2, 4)
D = (4.846375496313101, 3.0588088485536016)
v = Vector(C, D)
w = Vector(A, D)
z = Vector(C, B)
E: (A + B) / 2
F: (C + D) / 2
G: (A + D) / 2
H: (B + C) / 2
M: A + u + v
c = Vector(A, M)
e = Vector(B, M)
f = Vector(D, M)
E': E + v
F': F + u
EE: E + v / 2