$ \overrightarrow{u} $

$ \overrightarrow{v} $

+

A a pour coordonnées (1 ;1)

B a pour coorodonnées (-1;1)

C a pour coordonnées (0;1)

$ z_A = 1 + i $

$ z_B = -1 + i $

$ z_C = -i $

$ OA = \sqrt{x_A^2 + y_A^2} $

$ OA = \sqrt{2} $

$ OB = \sqrt{2} $

$ OC = 1 $

coordonnées des points A , B et C

distance OA

distances OA , OB , OC

$ (\overrightarrow{u}; \overrightarrow{OA})=\frac{\pi}{4} $

$ (\overrightarrow{u};\overrightarrow{OB})=\frac{3\pi}{4}} $

$ (\overrightarrow{u};\overrightarrow{OC})= -\frac{\pi}{2} $

Mesures des angles

$ \frac{\pi}{4} $

déterrmination d'une mesure de l'angle A

affixes des points A , B et C

Construction des points P

Construction de E

Construction de D

Construction de F

$ z_D = i $

$ z_E = -1 $

$ z_F = -1 - i $

affixes des points D ,E et F

A = (1, 1)
Z = (1, -1)
poly1, z, a, b, c, B, z_1 = Polygon(Z, A, 4)
O = Intersect(xAxis, yAxis)
X = Intersect(z, xAxis)
u = Vector(O, X)
Y = Point(yAxis)
v = Vector(O, Y)
C = Intersect(c, yAxis)
W = (0.7648477466504229, 0.7745868522302124)
R = (1.6929110840438464, 0.8837707742764978)
Q_1 = (0.792143727161994, 1.37509842348478)
d = CircleArc(W, R, Q_1)
G = Point(d)
H_1 = Point(d)
w = Vector(G, H_1)
e = false
g = false
h = false
i = false
j = Ray(O, A)
α = Angle(xAxis, j)
k = false
f = false
p = Circle(O, 1.4142135623730951)
H = (1.7918635809987802, 0.008846410280758011)
H' = Rotate(H, 45*°, O)
β = Angle(H, O, H')
l = Ray(O, H')
P = Intersect(p, l)
m = false
q = Circle(O, 1)
L = (1.5734957369062101, 0.022494400536543637)
L' = Rotate(L, 180*°, O)
γ = Angle(L, O, L')
n = Ray(O, L')
E = Intersect(q, n)
o = false
r = Circle(O, 1)
M = (1.6417356881851382, 0.022494400536543637)
M' = Rotate(M, 90*°, O)
δ = Angle(M, O, M')
s = Ray(O, M')
D = Intersect(r, s)
t = false
c_1 = Circle(O, 1.4142135623730951)
Q = (1.7782155907429944, 0.022494400536543637)
Q' = Rotate(Q, 225*°, O)
ε = Angle(Q', O, Q)
a_1 = Ray(O, Q')
F = Intersect(c_1, a_1)
b_1 = false
d_1 = false